Details

analyze63.0ms (1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
53.3%	50%	43.7%	0.1%	6.2%	0%	0%	7
63.3%	59.3%	34.3%	0.1%	6.2%	0%	0%	8
74.1%	67.1%	23.4%	0.1%	9.4%	0%	0%	9
80.2%	72.6%	18%	0.1%	9.4%	0%	0%	10
86.4%	76.9%	12.1%	0.1%	10.9%	0%	0%	11
89.7%	79.8%	9.2%	0.1%	10.9%	0%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.6s (24.4%)

Results

1.6s	8256×	body	256	valid
24.0ms	153×	body	256	infinite

Bogosity

preprocess20.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

36×	`fma-def_binary64`
24×	`distribute-rgt-in_binary64`
22×	`distribute-lft-in_binary64`
16×	`*-commutative_binary64`
14×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	26	20
2	49	16
3	97	16
4	168	16
5	180	16
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 (+.f64 x -4/29) 3) y)
(.f64 3 (.f64 (+.f64 x -4/29) y))
(*.f64 (fma.f64 x 3 -12/29) y)
(.f64 (.f64 (-.f64 y (/.f64 16 116)) 3) x)
(.f64 (+.f64 y -4/29) (.f64 3 x))
(.f64 (+.f64 y -4/29) (.f64 x 3))
(*.f64 x (fma.f64 3 y -12/29))

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`fma-def_binary64`
13×	`distribute-lft-in_binary64`
13×	`distribute-rgt-in_binary64`
10×	`*-commutative_binary64`
9×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	18	10
2	33	8
3	65	8
4	104	8
5	110	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize20.0ms (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)
✓	0.2b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

Compiler

Compiled 31 to 25 computations (19.4% saved)

series10.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms	x	@	inf	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms	y	@	inf	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms	x	@	0	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms	x	@	-inf	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

rewrite99.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`unpow-prod-down_binary64`
423×	`log-prod_binary64`
317×	`exp-prod_binary64`
271×	`prod-exp_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	218	21
2	2463	17

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 x 3 -12/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x 3 -12/29) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 x 3) -64/24389) (.f64 3 y)) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 x 3 -12/29) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x 3 -12/29) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x 3 -12/29) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 x 3 -12/29) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 x 3 -12/29) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y))) 2)) (cbrt.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y)))) (sqrt.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y))))))) (#(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 log1p.f64 (expm1.f64 (.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (fma.f64 x 3 -12/29) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x 3 -12/29) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 x 3 -12/29) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -4/29)) 1) (log.f64 (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x 3 -12/29)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x 3 -12/29)) (.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x 3 -12/29)) 1) (.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 y) 1) (log.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 y) (.f64 (log.f64 (fma.f64 x 3 -12/29)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (fma.f64 x 3 -12/29)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 3 y)) (.f64 (log.f64 (+.f64 x -4/29)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 3 -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 x) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) 2)) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 -12/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 x 3) -64/24389) 3) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 3 -12/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 3 -12/29)))) (sqrt.f64 (log.f64 (fma.f64 x 3 -12/29))))))) (#(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 log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 3 -12/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 3 -12/29))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x 3 -12/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x 3 -12/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x -12/29)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4/29 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -4/29)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 1 (fma.f64 x x (fma.f64 x 4/29 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 3) -64/24389) (pow.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 4/29 16/841))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -16/841) (pow.f64 (/.f64 1 (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -4/29) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -4/29) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (+.f64 x -4/29) (cbrt.f64 (+.f64 x -4/29))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (+.f64 x -4/29) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -4/29))) 2) 3) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -4/29))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 3) -64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (-.f64 16/841 (.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) -64/24389)) (neg.f64 (fma.f64 x x (fma.f64 x 4/29 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/841)) (neg.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 3) -64/24389)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -4/29))) 2)) (cbrt.f64 (log.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -4/29)))) (sqrt.f64 (log.f64 (+.f64 x -4/29))))))) (#(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 log1p.f64 (expm1.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 x -4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x -4/29))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 x -4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x -4/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (+.f64 x -4/29)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -4/29)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x 3 -12/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -64/24389) (*.f64 3 y)) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/841) (*.f64 3 y)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 2)) (cbrt.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))) (sqrt.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) (#(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 log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -4/29)) 1) (log.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x 3 -12/29)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 3 y)) (*.f64 (log.f64 (+.f64 x -4/29)) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 3 -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) 2)) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 -12/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -64/24389) 3) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 3 -12/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 3 -12/29)))) (sqrt.f64 (log.f64 (fma.f64 x 3 -12/29))))))) (#(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 log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 3 -12/29))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 3 -12/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 3 -12/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x -12/29)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4/29 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -4/29)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 1 (fma.f64 x x (fma.f64 x 4/29 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) -64/24389) (pow.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 4/29 16/841))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -16/841) (pow.f64 (/.f64 1 (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -4/29) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -4/29) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (cbrt.f64 (+.f64 x -4/29))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x -4/29) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -4/29))) 2) 3) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -4/29))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 3) -64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) -64/24389)) (neg.f64 (fma.f64 x x (fma.f64 x 4/29 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/841)) (neg.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 3) -64/24389)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -4/29))) 2)) (cbrt.f64 (log.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -4/29)))) (sqrt.f64 (log.f64 (+.f64 x -4/29))))))) (#(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 log1p.f64 (expm1.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x -4/29))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x -4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -4/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x -4/29)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -4/29)))))

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

30×	`fma-def_binary64`
11×	`*-commutative_binary64`
7×	`associate-r_binary64`
7×	`associate-l_binary64`
7×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	342
1	33	342
2	60	279
3	96	279
4	102	279

Stop Event

1×

saturated

Counts

168 → 132

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)
-4/29
(-.f64 x 4/29)
(-.f64 x 4/29)
(-.f64 x 4/29)
x
(-.f64 x 4/29)
(-.f64 x 4/29)
(-.f64 x 4/29)
x
(-.f64 x 4/29)
(-.f64 x 4/29)
(-.f64 x 4/29)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 (fma.f64 x 3 -12/29) y)
1.0ms	x	@	0	(*.f64 (fma.f64 x 3 -12/29) y)
1.0ms	y	@	0	(*.f64 (fma.f64 x 3 -12/29) y)
1.0ms	x	@	-inf	(*.f64 (fma.f64 x 3 -12/29) y)
0.0ms	y	@	inf	(*.f64 (fma.f64 x 3 -12/29) y)

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
583×	`add-log-exp_binary64`
583×	`log1p-expm1-u_binary64`
583×	`expm1-log1p-u_binary64`
573×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	13
2	1551	13

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

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

Outputs

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

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

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def_binary64`
7×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`associate-r_binary64`
2×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	303
1	25	240
2	38	240
3	41	240

Stop Event

1×

saturated

Counts

70 → 44

Calls

Call 1

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

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

eval55.0ms (0.8%)

Compiler: Compiled 1906 to 1452 computations (23.8% saved)

prune41.0ms (0.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	160	16	176
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	161	17	178

Error

0.0b

Counts

178 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
	11.4b	(.f64 (/.f64 (-.f64 (.f64 (.f64 x 3) (.f64 x 3)) 144/841) (-.f64 (*.f64 x 3) -12/29)) y)
	51.4b	(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2) 3) y)
▶	2.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3) 3) y)
	27.9b	(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
	36.2b	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
▶	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
	16.4b	(.f64 (.f64 (/.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) 3) y)
	11.4b	(.f64 (.f64 (*.f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29))) 3) y)
	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
	0.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (cbrt.f64 (fma.f64 x 3 -12/29))) y)
	35.8b	(.f64 (.f64 x 3) y)
	35.8b	(.f64 3 (.f64 y x))
▶	0.2b	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
▶	27.5b	(*.f64 -12/29 y)
	14.2b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))

Compiler

Compiled 388 to 302 computations (22.2% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

series6.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite81.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
783×	`add-log-exp_binary64`
783×	`log1p-expm1-u_binary64`
783×	`expm1-log1p-u_binary64`
770×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	173	8
2	2068	8

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`fma-def_binary64`
8×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	16	117
2	27	108
3	41	90
4	45	90

Stop Event

1×

saturated

Counts

31 → 24

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))

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

localize15.0ms (0.2%)

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)

series5.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(*.f64 -12/29 y)
1.0ms	y	@	-inf	(*.f64 -12/29 y)
1.0ms	y	@	0	(*.f64 -12/29 y)

rewrite84.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
339×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
322×	`add-log-exp_binary64`
322×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	875	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 -12/29 y)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 -12/29 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -12/29 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -12/29) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -24/29) y))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -12/29 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -12/29 y)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -12/29 y)) (+.f64 1 (*.f64 -12/29 y))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -12/29 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -12/29 y)) (+.f64 1 (*.f64 -12/29 y))) 1) (+.f64 (+.f64 1 (*.f64 -12/29 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -12/29 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -12/29 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) -1728/24389) 1/3)))) (#(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 (sqrt.f64 (*.f64 -12/29 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 -12/29 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -12/29 y)))) (sqrt.f64 (log.f64 (*.f64 -12/29 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -12/29 y))) 2)) (cbrt.f64 (log.f64 (*.f64 -12/29 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -12/29 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 -12/29 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 (*.f64 (pow.f64 y 3) -1728/24389))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -12/29 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -12/29 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -12/29 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -12/29 y))) 2))))))

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

localize27.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
	0.1b	(*.f64 -12/29 y)
✓	0.2b	(.f64 (.f64 x 3) y)

Compiler

Compiled 26 to 17 computations (34.6% saved)

series61.0ms (0.9%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
50.0ms	x	@	0	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
1.0ms	x	@	0	(.f64 (.f64 x 3) y)
1.0ms	y	@	0	(.f64 (.f64 x 3) y)
1.0ms	x	@	inf	(.f64 (.f64 x 3) y)
1.0ms	y	@	inf	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))

rewrite107.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

483×	`log-prod_binary64`
412×	`fma-def_binary64`
348×	`prod-exp_binary64`
346×	`exp-prod_binary64`
311×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	195	15
2	2527	15

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

217×	`fma-def_binary64`
171×	`fma-neg_binary64`
47×	`cancel-sign-sub-inv_binary64`
39×	`distribute-rgt-neg-in_binary64`
32×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	417
1	44	354
2	112	354
3	208	354
4	265	354
5	401	354
6	651	354
7	891	354
8	988	354
9	994	354

Stop Event

1×

saturated

Counts

164 → 124

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

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

localize50.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3) 3)
✓	0.2b	(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3) 3) y)
✓	0.8b	(cbrt.f64 (+.f64 x -4/29))
✓	0.9b	(pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3)

Compiler

Compiled 37 to 29 computations (21.6% saved)

series25.0ms (0.4%)

Counts

4 → 44

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3)
3.0ms	x	@	-inf	(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3) 3) y)
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3)
3.0ms	x	@	inf	(pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3)
2.0ms	x	@	0	(cbrt.f64 (+.f64 x -4/29))

rewrite129.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

953×	`pow1_binary64`
896×	`add-log-exp_binary64`
896×	`log1p-expm1-u_binary64`
896×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	221	27
2	2429	27

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4/29 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 (cbrt.f64 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x -4/29))))) (#(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 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (.f64 (cbrt.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 (+.f64 x -4/29) 1/6) (.f64 (pow.f64 (+.f64 x -4/29) 1/6) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -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 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) 3) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (+.f64 x -4/29) 1/6) 3) (pow.f64 (pow.f64 (+.f64 x -4/29) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) 1) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (pow.f64 (+.f64 x -4/29) 1/6)) (pow.f64 (+.f64 x -4/29) 1/6))))) (#(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 1 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))))) (#(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 (fma.f64 x x -16/841) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 16/841 (.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/841)) (neg.f64 (+.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 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 log1p.f64 (expm1.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -4/29)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x -4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x -4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (+.f64 x -4/29))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (+.f64 x -4/29))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x -4/29) 1/6) (pow.f64 (+.f64 x -4/29) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (+.f64 x -4/29)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x -4/29)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -16/841)) (cbrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 -64/24389 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 16/841 (.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -4/29) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -4/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/29) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 x -4/29))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -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 /.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 (.f64 x 3) -12/29) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 x 3) -12/29) 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 log1p.f64 (expm1.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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 -12/29 (.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 x) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 x 3) -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -64/24389 (pow.f64 x 3)) 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) 3) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (+.f64 -64/24389 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/841 (.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 x 3) -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (.f64 x 3) -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (.f64 x 3) -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (.f64 x 3) -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9 (pow.f64 (+.f64 x -4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 x 3) -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (.f64 x 3) -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (.f64 x 3) -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (.f64 x 3) -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 x 3) -12/29)))))))

simplify150.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

605×	`associate-/l*_binary64`
443×	`fma-def_binary64`
432×	`associate-/r*_binary64`
394×	`associate-*l/_binary64`
327×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	699
1	287	654
2	872	546
3	4133	502

Stop Event

1×	node limit

Counts

138 → 119

Calls

Call 1

Inputs
-4/29
(-.f64 (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)) (.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3))) x) 4/29)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 -4/29)) 1/3)) (+.f64 (.f64 (cbrt.f64 -4/29) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)))) (.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 -4/29)) 1/3)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)) (.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3))) x)) 4/29)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)) 1/3) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3))))) (+.f64 (.f64 (cbrt.f64 -4/29) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (cbrt.f64 -4/29))) (.f64 29/54 (pow.f64 1 1/3)))) (+.f64 (.f64 -1/3 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2))))) (.f64 -2/27 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2))))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 -4/29)) 1/3)) (+.f64 (.f64 (cbrt.f64 -4/29) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)))) (.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 -4/29)) 1/3)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3))) x))) 4/29)
(cbrt.f64 -4/29)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)) 1/3) x)) (cbrt.f64 -4/29))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)) 1/3) x)) (+.f64 (cbrt.f64 -4/29) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 7)) 1/3) (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)) 1/3) x)) (+.f64 (cbrt.f64 -4/29) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -4/29) 2))) (.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 7)) 1/3) (pow.f64 x 2))))))
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 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)

Outputs
-4/29
(-.f64 (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)) (.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3))) x) 4/29)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -4/29) 4)) 1) x -4/29)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -4/29) 4)) x -4/29)
(fma.f64 (cbrt.f64 (*.f64 -4/29 (cbrt.f64 -4/29))) x -4/29)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 -4/29)) 1/3)) (+.f64 (.f64 (cbrt.f64 -4/29) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)))) (.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 -4/29)) 1/3)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)) (.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3))) x)) 4/29)
(+.f64 (.f64 (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 -4/29))) (fma.f64 (cbrt.f64 -4/29) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4))) -1/9) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -4/29))) 2/9))) (.f64 x x)) (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -4/29) 4)) 1) x -4/29))
(fma.f64 (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 -4/29))) (fma.f64 (cbrt.f64 -4/29) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -4/29))) 2/9))) (*.f64 x x) (fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -4/29) 4)) x -4/29))
(fma.f64 (fma.f64 (cbrt.f64 -4/29) (.f64 -1/9 (cbrt.f64 (/.f64 -29/4 (cbrt.f64 -4/29)))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -4/29))) 1/9)) (.f64 x x) (fma.f64 (cbrt.f64 (.f64 -4/29 (cbrt.f64 -4/29))) x -4/29))
(fma.f64 x (+.f64 (cbrt.f64 (.f64 -4/29 (cbrt.f64 -4/29))) (.f64 x (fma.f64 (cbrt.f64 -4/29) (.f64 -1/9 (cbrt.f64 (/.f64 -29/4 (cbrt.f64 -4/29)))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -4/29))) 1/9)))) -4/29)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)) 1/3) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3))))) (+.f64 (.f64 (cbrt.f64 -4/29) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (cbrt.f64 -4/29))) (.f64 29/54 (pow.f64 1 1/3)))) (+.f64 (.f64 -1/3 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2))))) (.f64 -2/27 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2))))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 -4/29)) 1/3)) (+.f64 (.f64 (cbrt.f64 -4/29) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)))) (.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 -4/29)) 1/3)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)) 1/3))) x))) 4/29)
(+.f64 (fma.f64 (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4))) -1/9) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (fma.f64 (cbrt.f64 -4/29) (fma.f64 -2/3 (/.f64 (fma.f64 -2/9 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)) (/.f64 1/27 (pow.f64 (cbrt.f64 -4/29) 2))) (cbrt.f64 -4/29)) 29/54) (fma.f64 -1/3 (fma.f64 -2/9 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)) (/.f64 1/27 (pow.f64 (cbrt.f64 -4/29) 2))) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)) -2/27)))) (pow.f64 x 3) (fma.f64 (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 -4/29))) (fma.f64 (cbrt.f64 -4/29) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4))) -1/9) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -4/29))) 2/9))) (.f64 x x) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -4/29) 4)) 1) x))) -4/29)
(fma.f64 (fma.f64 1/3 (.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (fma.f64 (cbrt.f64 -4/29) (fma.f64 -2/3 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)) -5/27) (cbrt.f64 -4/29)) 29/54) (fma.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)) -5/27) -1/3 (/.f64 -2/27 (pow.f64 (cbrt.f64 -4/29) 2))))) (pow.f64 x 3) (fma.f64 (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 -4/29))) (fma.f64 (cbrt.f64 -4/29) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 4)))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -4/29))) 2/9))) (*.f64 x x) (fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -4/29) 4)) x -4/29)))
(fma.f64 (fma.f64 (cbrt.f64 -4/29) (fma.f64 -2/3 (/.f64 (/.f64 -5/27 (pow.f64 (cbrt.f64 -4/29) 2)) (cbrt.f64 -4/29)) 29/54) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2))) (.f64 (cbrt.f64 (/.f64 -29/4 (cbrt.f64 -4/29))) -1/27) (fma.f64 (/.f64 -5/27 (pow.f64 (cbrt.f64 -4/29) 2)) -1/3 (/.f64 -2/27 (pow.f64 (cbrt.f64 -4/29) 2))))) (pow.f64 x 3) (fma.f64 (fma.f64 (cbrt.f64 -4/29) (.f64 -1/9 (cbrt.f64 (/.f64 -29/4 (cbrt.f64 -4/29)))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -4/29))) 1/9)) (.f64 x x) (fma.f64 (cbrt.f64 (*.f64 -4/29 (cbrt.f64 -4/29))) x -4/29)))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2))) (.f64 (cbrt.f64 (/.f64 -29/4 (cbrt.f64 -4/29))) -1/27) (fma.f64 (cbrt.f64 -4/29) -29/81 (/.f64 -1/81 (pow.f64 (cbrt.f64 -4/29) 2)))) (pow.f64 x 3) (fma.f64 x (+.f64 (cbrt.f64 (.f64 -4/29 (cbrt.f64 -4/29))) (.f64 x (fma.f64 (cbrt.f64 -4/29) (.f64 -1/9 (cbrt.f64 (/.f64 -29/4 (cbrt.f64 -4/29)))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -4/29))) 1/9)))) -4/29))
(cbrt.f64 -4/29)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)) 1/3) x)) (cbrt.f64 -4/29))
(fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (cbrt.f64 -4/29))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)) 1/3) x)) (+.f64 (cbrt.f64 -4/29) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 7)) 1/3) (pow.f64 x 2)))))
(+.f64 (fma.f64 1/3 (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (cbrt.f64 -4/29)) (.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 7)))) (.f64 x x)))
(fma.f64 1/3 (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (fma.f64 -1/9 (.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 7))))) (cbrt.f64 -4/29)))
(fma.f64 1/3 (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (fma.f64 -1/9 (.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 7)))) (cbrt.f64 -4/29)))
(fma.f64 (.f64 x x) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 7)))) (fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (cbrt.f64 -4/29)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)) 1/3) x)) (+.f64 (cbrt.f64 -4/29) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -4/29) 2))) (.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 7)) 1/3) (pow.f64 x 2))))))
(+.f64 (fma.f64 1/3 (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (cbrt.f64 -4/29)) (fma.f64 -1/3 (/.f64 (fma.f64 -2/9 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)) (/.f64 1/27 (pow.f64 (cbrt.f64 -4/29) 2))) (/.f64 (pow.f64 (cbrt.f64 -4/29) 2) (pow.f64 x 3))) (.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 7)))) (.f64 x x))))
(+.f64 (fma.f64 1/3 (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (cbrt.f64 -4/29)) (fma.f64 -1/9 (.f64 x (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 7))))) (.f64 -1/3 (/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)) -5/27) (/.f64 (pow.f64 (cbrt.f64 -4/29) 2) (pow.f64 x 3))))))
(fma.f64 1/3 (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (fma.f64 -1/9 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 7)))) (fma.f64 -1/3 (.f64 (pow.f64 x 3) (/.f64 (/.f64 -5/27 (pow.f64 (cbrt.f64 -4/29) 2)) (pow.f64 (cbrt.f64 -4/29) 2))) (cbrt.f64 -4/29))))
(+.f64 (cbrt.f64 -4/29) (fma.f64 1/3 (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 2)))) (.f64 (.f64 x x) (+.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -4/29) 7)))) (*.f64 -145/324 (/.f64 x (cbrt.f64 -4/29)))))))
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 x y))
(.f64 x (.f64 3 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 x y))
(.f64 x (.f64 3 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
-12/29
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(*.f64 3 x)
(*.f64 x 3)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(*.f64 3 x)
(*.f64 x 3)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 x 3 -12/29)
	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
✓	0.6b	(cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)

Compiler

Compiled 32 to 23 computations (28.1% saved)

series26.0ms (0.4%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
1.0ms	x	@	0	(cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))

rewrite95.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

733×	`pow1_binary64`
689×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
674×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	189	18
2	1897	18

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) y) (*.f64 -12/29 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 x 3 -12/29) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3 -12/29) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (fma.f64 x 3 -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x 3 -12/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2)) (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) (*.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (*.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1/6) (*.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1/6) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) (*.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))) 3) (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x 3 -12/29) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x 3 -12/29) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (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 y (sqrt.f64 (fma.f64 x 3 -12/29))) (sqrt.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2)) 1) (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2)) (cbrt.f64 (fma.f64 x 3 -12/29))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2)) (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1/6)) (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1/6))))) (#(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 (fma.f64 x 3 -12/29)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 3 -12/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1/6) (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))))

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

751×	`associate-l_binary64`
582×	`fma-def_binary64`
545×	`unswap-sqr_binary64`
281×	`cancel-sign-sub-inv_binary64`
270×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	804
1	386	670
2	1184	650
3	5553	650

Stop Event

1×	node limit

Counts

64 → 72

Calls

Call 1

Inputs
(.f64 -12/29 (.f64 (pow.f64 1 1/3) y))
(+.f64 (.f64 -12/29 (.f64 (pow.f64 1 1/3) y)) (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -12/29) 4) 1/3))) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -12/29) 4) 1/3))) x))
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -12/29)) 1/3))) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -12/29)) 1/3))) (.f64 (pow.f64 (.f64 1 y) 1/3) (.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)) 1/3))) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)) 1/3))) (cbrt.f64 -12/29))))) (pow.f64 x 2)) (+.f64 (.f64 -12/29 (.f64 (pow.f64 1 1/3) y)) (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -12/29) 4) 1/3))) (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -12/29) 4) 1/3))) x)))
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -12/29)) 1/3))) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -12/29)) 1/3))) (.f64 (pow.f64 (.f64 1 y) 1/3) (.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)) 1/3))) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)) 1/3))) (cbrt.f64 -12/29))))) (pow.f64 x 2)) (+.f64 (.f64 -12/29 (.f64 (pow.f64 1 1/3) y)) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -12/29) 4) 1/3))) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -12/29) 4) 1/3))) x) (.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (pow.f64 y 7) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -6 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (pow.f64 y 7) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))))) (.f64 (pow.f64 (.f64 1 (pow.f64 y 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 1 y) 1/3) (.f64 (+.f64 (.f64 29/6 (.f64 (pow.f64 1 1/9) (pow.f64 y 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 y) 1/3) (/.f64 (+.f64 (.f64 -6 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (pow.f64 y 7) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))))) (.f64 (pow.f64 (.f64 1 (pow.f64 y 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)))) (cbrt.f64 -12/29))))) (cbrt.f64 -12/29))) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 7)) 1/9) (.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)) 1/3))) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) 1/3)))))) (pow.f64 x 3)))))
(.f64 (pow.f64 (.f64 1 y) 1/3) (cbrt.f64 -12/29))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) 1/3) x)) (.f64 (pow.f64 (*.f64 1 y) 1/3) (cbrt.f64 -12/29)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 11)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) 1/3) x)) (.f64 (pow.f64 (*.f64 1 y) 1/3) (cbrt.f64 -12/29))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 11)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (.f64 (+.f64 (.f64 -6 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (pow.f64 y 7) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))))) (.f64 (pow.f64 (.f64 1 (pow.f64 y 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -12/29) 2)))) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) 1/3) x)) (.f64 (pow.f64 (*.f64 1 y) 1/3) (cbrt.f64 -12/29)))))

Outputs
(.f64 -12/29 (.f64 (pow.f64 1 1/3) y))
(*.f64 -12/29 y)
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(fma.f64 x (.f64 x (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -12/29))) (.f64 (pow.f64 (pow.f64 y 17) 1/18) (pow.f64 (pow.f64 y 17) 1/18)) (.f64 (cbrt.f64 (/.f64 -29/12 (cbrt.f64 -12/29))) (neg.f64 (.f64 (.f64 (pow.f64 (pow.f64 y 14) 1/18) (pow.f64 (pow.f64 y 14) 1/18)) (.f64 (cbrt.f64 -12/29) (cbrt.f64 y))))))) (fma.f64 (fma.f64 -1/3 (/.f64 (.f64 -5 (cbrt.f64 (pow.f64 y 7))) (pow.f64 (cbrt.f64 -12/29) 2)) (fma.f64 -2 (/.f64 (cbrt.f64 (pow.f64 y 7)) (pow.f64 (cbrt.f64 -12/29) 2)) (fma.f64 (fma.f64 29/6 (.f64 y y) (.f64 (cbrt.f64 (/.f64 1 y)) (.f64 -2/3 (/.f64 (/.f64 (.f64 -5 (cbrt.f64 (pow.f64 y 7))) (pow.f64 (cbrt.f64 -12/29) 2)) (cbrt.f64 -12/29))))) (.f64 (cbrt.f64 -12/29) (cbrt.f64 y)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) (.f64 (.f64 (pow.f64 (pow.f64 y 14) 1/18) (pow.f64 (pow.f64 y 14) 1/18)) (neg.f64 (.f64 (cbrt.f64 (/.f64 -29/12 (cbrt.f64 -12/29))) (.f64 (pow.f64 (pow.f64 y 7) 1/18) (pow.f64 (pow.f64 y 7) 1/18))))))))) (pow.f64 x 3) (fma.f64 -12/29 y (.f64 (cbrt.f64 (.f64 -12/29 (cbrt.f64 -12/29))) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 y 13) 1/18) (pow.f64 (pow.f64 y 13) 1/18)) 3) x)))))
(.f64 (pow.f64 (.f64 1 y) 1/3) (cbrt.f64 -12/29))
(*.f64 (cbrt.f64 -12/29) (cbrt.f64 y))
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(fma.f64 (cbrt.f64 -12/29) (cbrt.f64 y) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) (.f64 x (*.f64 (pow.f64 (pow.f64 y 7) 1/18) (pow.f64 (pow.f64 y 7) 1/18)))))
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(fma.f64 -1 (.f64 (.f64 (pow.f64 (pow.f64 y 11) 1/18) (pow.f64 (pow.f64 y 11) 1/18)) (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7))))) (fma.f64 (.f64 (pow.f64 (pow.f64 y 7) 1/18) (pow.f64 (pow.f64 y 7) 1/18)) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)))) (*.f64 (cbrt.f64 -12/29) (cbrt.f64 y))))
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(-.f64 (fma.f64 (cbrt.f64 -12/29) (cbrt.f64 y) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) (.f64 x (.f64 (pow.f64 (pow.f64 y 7) 1/18) (pow.f64 (pow.f64 y 7) 1/18))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7))) (.f64 x (.f64 x (*.f64 (pow.f64 (pow.f64 y 11) 1/18) (pow.f64 (pow.f64 y 11) 1/18))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 11)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (.f64 (+.f64 (.f64 -6 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (pow.f64 y 7) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))))) (.f64 (pow.f64 (.f64 1 (pow.f64 y 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -12/29) 2)))) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 y 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) 1/3) x)) (.f64 (pow.f64 (*.f64 1 y) 1/3) (cbrt.f64 -12/29)))))
(fma.f64 -1 (.f64 (.f64 (pow.f64 (pow.f64 y 11) 1/18) (pow.f64 (pow.f64 y 11) 1/18)) (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7))))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (/.f64 (+.f64 (.f64 (cbrt.f64 (pow.f64 y 7)) (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) (.f64 -6 (.f64 (cbrt.f64 (pow.f64 y 7)) (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))))) (/.f64 (pow.f64 (cbrt.f64 -12/29) 2) (pow.f64 x 3)))) (fma.f64 (.f64 (pow.f64 (pow.f64 y 7) 1/18) (pow.f64 (pow.f64 y 7) 1/18)) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)))) (.f64 (cbrt.f64 -12/29) (cbrt.f64 y)))))
(-.f64 (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (/.f64 (.f64 -5 (/.f64 (cbrt.f64 (pow.f64 y 7)) (pow.f64 (cbrt.f64 -12/29) 2))) (/.f64 (pow.f64 (cbrt.f64 -12/29) 2) (pow.f64 x 3)))) (fma.f64 (.f64 (pow.f64 (pow.f64 y 7) 1/18) (pow.f64 (pow.f64 y 7) 1/18)) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)))) (.f64 (cbrt.f64 -12/29) (cbrt.f64 y)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7))) (.f64 (.f64 x x) (.f64 (pow.f64 (pow.f64 y 11) 1/18) (pow.f64 (pow.f64 y 11) 1/18)))))
(-.f64 (fma.f64 (cbrt.f64 -12/29) (cbrt.f64 y) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) (.f64 x (.f64 (pow.f64 (pow.f64 y 7) 1/18) (pow.f64 (pow.f64 y 7) 1/18))) (.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -12/29) 2)) (/.f64 (.f64 -5 (cbrt.f64 (pow.f64 y 7))) (pow.f64 (cbrt.f64 -12/29) 2))) (.f64 -1/3 (cbrt.f64 (/.f64 1 (.f64 y y))))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7))) (.f64 x (.f64 x (*.f64 (pow.f64 (pow.f64 y 11) 1/18) (pow.f64 (pow.f64 y 11) 1/18))))))

eval191.0ms (2.9%)

Compiler: Compiled 6896 to 5496 computations (20.3% saved)

prune74.0ms (1.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	422	11	433
Fresh	11	0	11
Picked	1	0	1
Done	2	3	5
Total	436	14	450

Error

Counts

450 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.0b	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
▶	36.2b	(pow.f64 (cbrt.f64 (.f64 (.f64 3 x) y)) 3)
▶	0.3b	(pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 1)
	19.0b	(/.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))))
▶	35.8b	(.f64 3 (.f64 y x))
	32.0b	(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x 3 -12/29) y) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x 3 -12/29) y) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))))
	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
	35.8b	(.f64 x (.f64 3 y))
	31.4b	(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 3 y)) (*.f64 y -12/29))
▶	35.8b	(.f64 (.f64 x 3) y)
✓	0.2b	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
✓	27.5b	(*.f64 -12/29 y)
	31.4b	(fma.f64 (.f64 y (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)) (.f64 y -12/29))

Compiler

Compiled 327 to 249 computations (23.9% saved)

localize14.0ms (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 29 to 21 computations (27.6% saved)

series3.0ms (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))

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`pow1_binary64`
796×	`add-log-exp_binary64`
796×	`log1p-expm1-u_binary64`
796×	`expm1-log1p-u_binary64`
783×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	172	14
2	2096	14

Stop Event

1×	node limit

Counts

2 → 51

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

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

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

32×	`fma-def_binary64`
11×	`*-commutative_binary64`
8×	`associate-r_binary64`
8×	`associate-l_binary64`
8×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	288
1	26	288
2	53	267
3	99	225
4	107	225

Stop Event

1×

saturated

Counts

87 → 61

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
511×	`add-log-exp_binary64`
511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
501×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1393	7

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize6.0ms (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)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 3 x 12/29)
✓	0.2b	(.f64 9 (.f64 x x))
✓	4.0b	(.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y)
✓	9.1b	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))

Compiler

Compiled 50 to 30 computations (40% saved)

series11.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y)
1.0ms	y	@	0	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
1.0ms	x	@	0	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
1.0ms	x	@	inf	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
1.0ms	y	@	inf	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))

rewrite86.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`log-prod_binary64`
342×	`pow2_binary64`
238×	`pow1/3_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	282	41
2	3526	41

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 9 (.f64 x x) -144/841) (/.f64 1 (/.f64 (fma.f64 x 3 12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 9 (.f64 x x) -144/841) (.f64 y (/.f64 1 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 (fma.f64 9 (.f64 x x) -144/841) (/.f64 1 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y) (/.f64 1 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y) 2)) (.f64 (cbrt.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) (/.f64 1 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 3 12/29) (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 3 12/29) (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) -2)) (cbrt.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) (.f64 (sqrt.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) (/.f64 1 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)) (sqrt.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) (neg.f64 y)) (/.f64 1 (neg.f64 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x 3 12/29)) (.f64 (fma.f64 9 (.f64 x x) -144/841) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) 1) (/.f64 y (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y 1) (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y) 2)) 1) (/.f64 (cbrt.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) 1) (/.f64 (sqrt.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (cbrt.f64 (pow.f64 (fma.f64 x 3 12/29) 2))) (/.f64 y (cbrt.f64 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (cbrt.f64 (pow.f64 (fma.f64 x 3 12/29) 2))) (/.f64 (fma.f64 9 (.f64 x x) -144/841) (cbrt.f64 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 12/29)) -2) (/.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y) (cbrt.f64 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y) 2)) (cbrt.f64 (pow.f64 (fma.f64 x 3 12/29) 2))) (cbrt.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) (cbrt.f64 (pow.f64 (fma.f64 x 3 12/29) 2))) (/.f64 (sqrt.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) (cbrt.f64 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (sqrt.f64 (fma.f64 x 3 12/29))) (/.f64 y (sqrt.f64 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (sqrt.f64 (fma.f64 x 3 12/29))) (/.f64 (fma.f64 9 (.f64 x x) -144/841) (sqrt.f64 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x 3 12/29) -1/2) (/.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y) (sqrt.f64 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y) 2)) (sqrt.f64 (fma.f64 x 3 12/29))) (/.f64 (cbrt.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) (sqrt.f64 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 3 12/29) (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 3 12/29) (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y) 3) (pow.f64 (fma.f64 x 3 12/29) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x 3 12/29) (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y) (neg.f64 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 3 12/29) (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y) 3) (pow.f64 (fma.f64 x 3 12/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)) y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 9 (.f64 x x) -144/841) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 9 (.f64 x x)) y) (.f64 -144/841 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -144/841 y) (.f64 (.f64 9 (.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 9 (.f64 x x))) (.f64 y -144/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -144/841) (.f64 y (.f64 9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 9 (.f64 x x) -144/841))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 9 (.f64 x x) -144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 9 (.f64 x x) -144/841)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 9 (.f64 x x) -144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 729 (pow.f64 x 6) -2985984/594823321) y) (-.f64 (fma.f64 81 (pow.f64 x 4) 20736/707281) (.f64 (.f64 x x) -1296/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 81 (pow.f64 x 4) -20736/707281) y) (fma.f64 9 (.f64 x x) 144/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (fma.f64 729 (pow.f64 x 6) -2985984/594823321)) (-.f64 (fma.f64 81 (pow.f64 x 4) 20736/707281) (.f64 (.f64 x x) -1296/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (fma.f64 81 (pow.f64 x 4) -20736/707281)) (fma.f64 9 (.f64 x x) 144/841))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (fma.f64 9 (.f64 x x) -144/841) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 y 3) (pow.f64 (fma.f64 9 (.f64 x x) -144/841) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 9 (.f64 x x) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 9 (.f64 x x) -144/841) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (fma.f64 9 (.f64 x x) -144/841) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 9 (.f64 x x) -144/841) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 9 (.f64 x x)) y (.f64 -144/841 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -144/841 y (.f64 (.f64 9 (.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 9 (.f64 x x)) (.f64 y -144/841))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -144/841 (.f64 y (.f64 9 (.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 9 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 81 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 9 (.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 729 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 9 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 729 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 9)) 1))))))
((#(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 0 (fma.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 3 12/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 3 12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 12/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 3 12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 3 12/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 3 12/29)) (cbrt.f64 (pow.f64 (fma.f64 x 3 12/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x 3 12/29) 2)) (cbrt.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 3 12/29)) (sqrt.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 3) 3) 1728/24389) (fma.f64 9 (.f64 x x) (-.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 (pow.f64 (fma.f64 x 3 12/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 3 12/29)) 1))))))

simplify91.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
587×	`distribute-neg-frac_binary64`
477×	`associate-*l/_binary64`
477×	`associate-/l*_binary64`
411×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	789
1	54	726
2	96	717
3	178	699
4	449	699
5	1506	699
6	3115	699
7	4284	699
8	6817	699

Stop Event

1×	node limit

Counts

198 → 146

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 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(*.f64 -144/841 y)
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(.f64 9 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(.f64 9 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
12/29
(+.f64 (*.f64 3 x) 12/29)
(+.f64 (*.f64 3 x) 12/29)
(+.f64 (*.f64 3 x) 12/29)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 12/29)
(+.f64 (*.f64 3 x) 12/29)
(+.f64 (*.f64 3 x) 12/29)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 12/29)
(+.f64 (*.f64 3 x) 12/29)
(+.f64 (*.f64 3 x) 12/29)

Outputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.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 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 x (*.f64 x 9) -144/841)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.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 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 x (*.f64 x 9) -144/841)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.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 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 x (*.f64 x 9) -144/841)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.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 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 x (*.f64 x 9) -144/841)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.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 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 x (*.f64 x 9) -144/841)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.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 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 x (*.f64 x 9) -144/841)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.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 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 x (*.f64 x 9) -144/841)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.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 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 x (*.f64 x 9) -144/841)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.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 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 x (*.f64 x 9) -144/841)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.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 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 x (*.f64 x 9) -144/841)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.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 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 x (*.f64 x 9) -144/841)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.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 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 x (*.f64 x 9) -144/841)))
(*.f64 -144/841 y)
(*.f64 y -144/841)
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(.f64 9 (.f64 y (pow.f64 x 2)))
(.f64 9 (.f64 y (*.f64 x x)))
(.f64 9 (.f64 x (*.f64 y x)))
(.f64 x (.f64 y (*.f64 x 9)))
(.f64 x (.f64 x (*.f64 y 9)))
(.f64 y (.f64 x (*.f64 x 9)))
(.f64 (.f64 y x) (*.f64 x 9))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(.f64 9 (.f64 y (pow.f64 x 2)))
(.f64 9 (.f64 y (*.f64 x x)))
(.f64 9 (.f64 x (*.f64 y x)))
(.f64 x (.f64 y (*.f64 x 9)))
(.f64 x (.f64 x (*.f64 y 9)))
(.f64 y (.f64 x (*.f64 x 9)))
(.f64 (.f64 y x) (*.f64 x 9))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(+.f64 (.f64 9 (.f64 y (pow.f64 x 2))) (*.f64 -144/841 y))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841))
(fma.f64 9 (.f64 y (.f64 x x)) (*.f64 y -144/841))
(.f64 y (fma.f64 9 (.f64 x x) -144/841))
(.f64 y (fma.f64 x (.f64 x 9) -144/841))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
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)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 3 x) y)
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 (.f64 3 x) y)) 3)
✓	8.1b	(cbrt.f64 (.f64 (.f64 3 x) y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

series15.0ms (0.2%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(cbrt.f64 (.f64 (.f64 3 x) y))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 (.f64 3 x) y)) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 (.f64 3 x) y)) 3)
1.0ms	x	@	0	(cbrt.f64 (.f64 (.f64 3 x) y))
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (.f64 (.f64 3 x) y)) 3)

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

663×	`pow1_binary64`
620×	`add-log-exp_binary64`
620×	`log1p-expm1-u_binary64`
620×	`expm1-log1p-u_binary64`
604×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	169	23
2	1745	23

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 3 (*.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 3 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 3) (cbrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 3) (pow.f64 (*.f64 x y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 x)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1/6) (pow.f64 (*.f64 3 (*.f64 x y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 3 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 3 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 3 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 3 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 3 (*.f64 x y)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 2) (cbrt.f64 (*.f64 3 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 x)) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (*.f64 (cbrt.f64 (*.f64 3 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 (*.f64 x y))) (sqrt.f64 (*.f64 3 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1/6) (*.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 x)) (*.f64 (sqrt.f64 (*.f64 3 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x y)))) 2) 3) (cbrt.f64 (*.f64 3 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 3 x)) 2)) (cbrt.f64 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 (*.f64 3 x))) (sqrt.f64 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 2) 1) (cbrt.f64 (*.f64 3 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 2) (cbrt.f64 (*.f64 3 x))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 2) (pow.f64 (*.f64 3 (*.f64 x y)) 1/6)) (pow.f64 (*.f64 3 (*.f64 x y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 3 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 -.f64 (+.f64 1 (*.f64 3 (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 pow.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 3 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x y))))))))

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

98 → 66

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))

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))

eval338.0ms (5.1%)

Compiler: Compiled 4602 to 3248 computations (29.4% saved)

prune61.0ms (0.9%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	313	6	319
Fresh	3	3	6
Picked	0	1	1
Done	2	5	7
Total	318	15	333

Error

Counts

333 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	51.1b	(.f64 (.f64 y (sqrt.f64 (.f64 3 x))) (sqrt.f64 (.f64 3 x)))
✓	36.2b	(pow.f64 (cbrt.f64 (.f64 (.f64 3 x) y)) 3)
▶	19.0b	(/.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))))
▶	35.8b	(.f64 (.f64 y 3) x)
▶	49.9b	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))
✓	27.5b	(*.f64 -12/29 y)
✓	35.8b	(.f64 3 (.f64 y x))
	32.0b	(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x 3 -12/29) y) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x 3 -12/29) y) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))))
▶	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
	27.6b	(pow.f64 (.f64 -4/29 (.f64 3 y)) 1)
▶	13.2b	(.f64 (fma.f64 9 (.f64 x x) -144/841) (/.f64 1 (/.f64 (fma.f64 x 3 12/29) y)))
✓	35.8b	(.f64 (.f64 x 3) y)
✓	0.2b	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
	28.1b	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) 12/29)

Compiler

Compiled 323 to 251 computations (22.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

series6.0ms (0.1%)

Counts

3 → 27

Calls

15 calls:

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

rewrite71.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`pow1_binary64`
806×	`add-log-exp_binary64`
806×	`log1p-expm1-u_binary64`
806×	`expm1-log1p-u_binary64`
793×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	174	21
2	2114	21

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Outputs

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

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

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
11×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`distribute-rgt-out_binary64`
3×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	204
1	22	195
2	40	186
3	56	168
4	60	168

Stop Event

1×

saturated

Counts

91 → 76

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series63.0ms (1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
61.0ms	x	@	0	(.f64 (.f64 y 3) x)
0.0ms	x	@	inf	(.f64 (.f64 y 3) x)
0.0ms	y	@	0	(.f64 (.f64 y 3) x)
0.0ms	y	@	inf	(.f64 (.f64 y 3) x)
0.0ms	y	@	-inf	(.f64 (.f64 y 3) x)

rewrite47.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`pow1_binary64`
510×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
500×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1391	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

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))

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))

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 9 (.f64 x x)) -144/841)
	0.2b	(.f64 9 (.f64 x x))
	4.0b	(.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y)
✓	9.1b	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))

Compiler

Compiled 47 to 27 computations (42.6% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite222.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`log-prod_binary64`
325×	`pow2_binary64`
246×	`prod-diff_binary64`
245×	`pow-unpow_binary64`
224×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	265	25
2	3578	25

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (fma.f64 x (*.f64 9 x) -144/841) 1/3) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 (fma.f64 x (*.f64 9 x) -144/841) (/.f64 1/3 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 (fma.f64 x (*.f64 9 x) -144/841) (/.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 (fma.f64 x (*.f64 9 x) -144/841) (/.f64 1/3 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 (fma.f64 x (*.f64 9 x) -144/841) (/.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 9 x) -144/841) 1/3) (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 9 x) -144/841) (/.f64 1 (*.f64 3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 9 x) -144/841) (*.f64 y (/.f64 1/3 x)))))) (#(struct:change 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simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

775×	`associate-/l/_binary64`
649×	`associate-l_binary64`
539×	`fma-def_binary64`
478×	`associate-r_binary64`
466×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	402
1	45	402
2	92	402
3	258	381
4	856	339
5	4025	339
6	6579	339

Stop Event

1×	node limit

Counts

150 → 126

Calls

Call 1

Inputs
(*.f64 -48/841 (/.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
-144/841
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(*.f64 9 (pow.f64 x 2))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(*.f64 9 (pow.f64 x 2))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)

Outputs
(*.f64 -48/841 (/.f64 y x))
(/.f64 (*.f64 -48/841 y) x)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 x (.f64 y 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 x (.f64 y 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
-144/841
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)

localize34.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 9 (.f64 x x))
✓	0.2b	(*.f64 x 36/29)
✓	2.3b	(.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) y)
✓	16.8b	(/.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))))

Compiler

Compiled 82 to 58 computations (29.3% saved)

series18.0ms (0.3%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	(/.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))))
1.0ms	y	@	inf	(/.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))))
1.0ms	x	@	0	(/.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))))
1.0ms	x	@	inf	(.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) y)
1.0ms	x	@	inf	(/.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))))

rewrite100.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`fma-def_binary64`
393×	`fma-neg_binary64`
342×	`expm1-udef_binary64`
342×	`log1p-udef_binary64`
267×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	428	40
2	5557	40

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs
(/.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 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) y)
(*.f64 x 36/29)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (/.f64 1 (/.f64 (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (*.f64 y (/.f64 1 (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (/.f64 1 (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y) (/.f64 1 (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))) y)) 2) (cbrt.f64 (*.f64 (/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y)) 2) (*.f64 (cbrt.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y)) (/.f64 1 (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))) y)) (sqrt.f64 (*.f64 (/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y)) (/.f64 1 (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (neg.f64 y)) (/.f64 1 (neg.f64 (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))) (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) 1) (/.f64 y (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 27 (pow.f64 x 3)) y) (*.f64 -1728/24389 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1728/24389 y) (*.f64 (*.f64 27 (pow.f64 x 3)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 27 (pow.f64 x 3))) (*.f64 y -1728/24389))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1728/24389) (*.f64 y (*.f64 27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 19683 -5159780352/14507145975869) y) (-.f64 (fma.f64 (pow.f64 x 6) 729 2985984/594823321) (*.f64 (pow.f64 x 3) -46656/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 6) 729 -2985984/594823321) y) (fma.f64 27 (pow.f64 x 3) 1728/24389))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 (pow.f64 (pow.f64 x 3) 3) 19683 -5159780352/14507145975869)) (-.f64 (fma.f64 (pow.f64 x 6) 729 2985984/594823321) (*.f64 (pow.f64 x 3) -46656/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 (pow.f64 x 6) 729 -2985984/594823321)) (fma.f64 27 (pow.f64 x 3) 1728/24389))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 27 (pow.f64 x 3) -1728/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 27 (pow.f64 x 3)) y (*.f64 -1728/24389 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1728/24389 y (*.f64 (*.f64 27 (pow.f64 x 3)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 27 (pow.f64 x 3)) (*.f64 y -1728/24389))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1728/24389 (*.f64 y (*.f64 27 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 36/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 36/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 36/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 36/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 36/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1296/841))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 36/29) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 36/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 36/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 36/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 36/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 36/29)) 1))))))

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1197×	`fma-def_binary64`
570×	`associate-+l+_binary64`
433×	`associate-+r+_binary64`
351×	`unsub-neg_binary64`
254×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	807
1	158	744
2	544	711
3	2437	657
4	7043	657

Stop Event

1×	node limit

Counts

145 → 105

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 (.f64 -12/29 y) (.f64 -1 (.f64 (+.f64 (.f64 87/4 y) (*.f64 -87/4 y)) (pow.f64 x 2)))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 29/4 (.f64 (+.f64 (.f64 87/4 y) (.f64 -87/4 y)) (pow.f64 x 3))) (+.f64 (.f64 -12/29 y) (.f64 -1 (.f64 (+.f64 (.f64 87/4 y) (*.f64 -87/4 y)) (pow.f64 x 2))))))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (.f64 -12/29 y)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (+.f64 (.f64 -12/29 y) (.f64 4/29 (/.f64 (+.f64 (.f64 48/841 y) (*.f64 -48/841 y)) (pow.f64 x 2))))))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (.f64 -12/29 y)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (+.f64 (.f64 -12/29 y) (.f64 4/29 (/.f64 (+.f64 (.f64 48/841 y) (*.f64 -48/841 y)) (pow.f64 x 2))))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(*.f64 -1728/24389 y)
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(.f64 27 (.f64 y (pow.f64 x 3)))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(.f64 27 (.f64 y (pow.f64 x 3)))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(*.f64 36/29 x)
(*.f64 36/29 x)
(*.f64 36/29 x)
(*.f64 36/29 x)
(*.f64 36/29 x)
(*.f64 36/29 x)
(*.f64 36/29 x)
(*.f64 36/29 x)
(*.f64 36/29 x)
(*.f64 36/29 x)
(*.f64 36/29 x)
(*.f64 36/29 x)

Outputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 -1 (.f64 (+.f64 (.f64 87/4 y) (*.f64 -87/4 y)) (pow.f64 x 2)))))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 29/4 (.f64 (+.f64 (.f64 87/4 y) (.f64 -87/4 y)) (pow.f64 x 3))) (+.f64 (.f64 -12/29 y) (.f64 -1 (.f64 (+.f64 (.f64 87/4 y) (*.f64 -87/4 y)) (pow.f64 x 2))))))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 y 3))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (.f64 -12/29 y)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (+.f64 (.f64 -12/29 y) (.f64 4/29 (/.f64 (+.f64 (.f64 48/841 y) (*.f64 -48/841 y)) (pow.f64 x 2))))))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 y 3))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (.f64 -12/29 y)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (+.f64 (.f64 -12/29 y) (.f64 4/29 (/.f64 (+.f64 (.f64 48/841 y) (*.f64 -48/841 y)) (pow.f64 x 2))))))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(*.f64 -1728/24389 y)
(*.f64 y -1728/24389)
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 27 (.f64 y (pow.f64 x 3)))
(.f64 y (.f64 (pow.f64 x 3) 27))
(.f64 (pow.f64 x 3) (.f64 y 27))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 27 (.f64 y (pow.f64 x 3)))
(.f64 y (.f64 (pow.f64 x 3) 27))
(.f64 (pow.f64 x 3) (.f64 y 27))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 9 (*.f64 x x) -144/841)
✓	0.2b	(/.f64 (fma.f64 x 3 12/29) y)
✓	0.5b	(/.f64 1 (/.f64 (fma.f64 x 3 12/29) y))
✓	12.6b	(.f64 (fma.f64 9 (.f64 x x) -144/841) (/.f64 1 (/.f64 (fma.f64 x 3 12/29) y)))

Compiler

Compiled 51 to 34 computations (33.3% saved)

series15.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(/.f64 (fma.f64 x 3 12/29) y)
1.0ms	y	@	inf	(.f64 (fma.f64 9 (.f64 x x) -144/841) (/.f64 1 (/.f64 (fma.f64 x 3 12/29) y)))
1.0ms	y	@	0	(.f64 (fma.f64 9 (.f64 x x) -144/841) (/.f64 1 (/.f64 (fma.f64 x 3 12/29) y)))
1.0ms	y	@	0	(/.f64 1 (/.f64 (fma.f64 x 3 12/29) y))
1.0ms	y	@	-inf	(/.f64 1 (/.f64 (fma.f64 x 3 12/29) y))

rewrite99.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`log-prod_binary64`
334×	`pow2_binary64`
322×	`pow-prod-down_binary64`
234×	`pow1/3_binary64`
233×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	292	42
2	3415	42

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

Inputs
(.f64 (fma.f64 9 (.f64 x x) -144/841) (/.f64 1 (/.f64 (fma.f64 x 3 12/29) y)))
(/.f64 1 (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (fma.f64 x 3 12/29) y)
(fma.f64 9 (*.f64 x x) -144/841)

Outputs
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(cbrt.f64 y) -2) (/.f64 (fma.f64 x 3 12/29) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 12/29)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (fma.f64 x 3 12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 3 12/29)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (fma.f64 x 3 12/29)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y -1/2) (/.f64 (fma.f64 x 3 12/29) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 12/29)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 x 3 12/29)) (sqrt.f64 y)))))) (#(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 (/.f64 y (fma.f64 x 3 12/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 3 12/29) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 3 12/29) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 3 12/29) y) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 3 12/29) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x 3 12/29))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 3 12/29) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (fma.f64 x 3 12/29))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x 3 12/29) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (fma.f64 x 3 12/29)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 3 12/29) (neg.f64 y)))))) (#(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 (exp.f64 (/.f64 (fma.f64 x 3 12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 3 12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 3 12/29) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 3 12/29) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 3 12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 3 12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 3 12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x 3 12/29) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 y (fma.f64 x 3 12/29))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (fma.f64 x 3 12/29) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 x 3 12/29) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 x 3 12/29) y))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -144/841 (.f64 9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 9 (.f64 x x) -144/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 9 (.f64 x x)) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 9 (.f64 x x)) 1) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 9 (.f64 x x) -144/841))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 9 (.f64 x x) -144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 9 (.f64 x x) -144/841)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 9 (.f64 x x) -144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 9 (.f64 x x) -144/841))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 9 (.f64 x x) -144/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 9 (.f64 x x) -144/841))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 9 (.f64 x x) -144/841)) (cbrt.f64 (pow.f64 (fma.f64 9 (.f64 x x) -144/841) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 9 (.f64 x x) -144/841) 2)) (cbrt.f64 (fma.f64 9 (.f64 x x) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 9 (.f64 x x) -144/841) 2)) (.f64 (cbrt.f64 (fma.f64 9 (.f64 x x) -144/841)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 9 (.f64 x x) -144/841)) (sqrt.f64 (fma.f64 9 (.f64 x x) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 9 (.f64 x x) -144/841)) (.f64 (sqrt.f64 (fma.f64 9 (.f64 x x) -144/841)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 9 (.f64 x x)) 3) -2985984/594823321) (+.f64 (pow.f64 (.f64 9 (.f64 x x)) 2) (-.f64 20736/707281 (.f64 (.f64 9 (.f64 x x)) -144/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 9 (.f64 x x)) 2) 20736/707281) (fma.f64 9 (.f64 x x) 144/841))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 (.f64 x x) -144/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 (.f64 x x) -144/841) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 (.f64 x x) -144/841) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9 (.f64 x x) -144/841)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 (.f64 x x) -144/841)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9 (.f64 x x) -144/841) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9 (.f64 x x) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (.f64 x x) -144/841))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 (.f64 x x) -144/841) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9 (.f64 x x) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9 (.f64 x x) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9 (.f64 x x) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 9 (.f64 x x) -144/841)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 9 (.f64 x x) -144/841))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 9 (.f64 x x) -144/841))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) -144/841))) 2))))))

simplify139.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

747×	`associate-/l*_binary64`
737×	`fma-def_binary64`
543×	`associate-/l/_binary64`
514×	`associate-*l/_binary64`
510×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	67	990
1	161	972
2	367	936
3	1007	895
4	3697	894
5	7895	894

Stop Event

1×	node limit

Counts

251 → 203

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 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(*.f64 29/12 y)
(+.f64 (.f64 29/12 y) (.f64 -841/48 (*.f64 y x)))
(+.f64 (.f64 29/12 y) (+.f64 (.f64 -841/48 (.f64 y x)) (.f64 24389/192 (*.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 29/12 y) (+.f64 (.f64 -841/48 (.f64 y x)) (+.f64 (.f64 -707281/768 (.f64 y (pow.f64 x 3))) (.f64 24389/192 (*.f64 y (pow.f64 x 2))))))
(*.f64 1/3 (/.f64 y x))
(+.f64 (.f64 1/3 (/.f64 y x)) (.f64 -4/87 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 (.f64 -4/87 (/.f64 y (pow.f64 x 2))) (*.f64 16/2523 (/.f64 y (pow.f64 x 3)))))
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 (.f64 -4/87 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -64/73167 (/.f64 y (pow.f64 x 4))) (.f64 16/2523 (/.f64 y (pow.f64 x 3))))))
(*.f64 1/3 (/.f64 y x))
(+.f64 (.f64 1/3 (/.f64 y x)) (.f64 -4/87 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 (.f64 -4/87 (/.f64 y (pow.f64 x 2))) (*.f64 16/2523 (/.f64 y (pow.f64 x 3)))))
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 (.f64 -4/87 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -64/73167 (/.f64 y (pow.f64 x 4))) (.f64 16/2523 (/.f64 y (pow.f64 x 3))))))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 12/29 y)
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(*.f64 3 (/.f64 x y))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(*.f64 3 (/.f64 x y))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x 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)
-144/841
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(*.f64 9 (pow.f64 x 2))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(*.f64 9 (pow.f64 x 2))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)

Outputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 y 3))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 y 3))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (.f64 x x) -144/841))
(/.f64 (.f64 y (fma.f64 x (.f64 x 9) -144/841)) (fma.f64 3 x 12/29))
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (.f64 x x) -144/841))
(/.f64 (.f64 y (fma.f64 x (.f64 x 9) -144/841)) (fma.f64 3 x 12/29))
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (.f64 x x) -144/841))
(/.f64 (.f64 y (fma.f64 x (.f64 x 9) -144/841)) (fma.f64 3 x 12/29))
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (.f64 x x) -144/841))
(/.f64 (.f64 y (fma.f64 x (.f64 x 9) -144/841)) (fma.f64 3 x 12/29))
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (.f64 x x) -144/841))
(/.f64 (.f64 y (fma.f64 x (.f64 x 9) -144/841)) (fma.f64 3 x 12/29))
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (.f64 x x) -144/841))
(/.f64 (.f64 y (fma.f64 x (.f64 x 9) -144/841)) (fma.f64 3 x 12/29))
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (.f64 x x) -144/841))
(/.f64 (.f64 y (fma.f64 x (.f64 x 9) -144/841)) (fma.f64 3 x 12/29))
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (.f64 x x) -144/841))
(/.f64 (.f64 y (fma.f64 x (.f64 x 9) -144/841)) (fma.f64 3 x 12/29))
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (.f64 x x) -144/841))
(/.f64 (.f64 y (fma.f64 x (.f64 x 9) -144/841)) (fma.f64 3 x 12/29))
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (.f64 x x) -144/841))
(/.f64 (.f64 y (fma.f64 x (.f64 x 9) -144/841)) (fma.f64 3 x 12/29))
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (.f64 x x) -144/841))
(/.f64 (.f64 y (fma.f64 x (.f64 x 9) -144/841)) (fma.f64 3 x 12/29))
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (/.f64 (fma.f64 3 x 12/29) (fma.f64 9 (*.f64 x x) -144/841)))
(.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (.f64 x x) -144/841))
(/.f64 (.f64 y (fma.f64 x (.f64 x 9) -144/841)) (fma.f64 3 x 12/29))
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)))
(*.f64 29/12 y)
(*.f64 y 29/12)
(+.f64 (.f64 29/12 y) (.f64 -841/48 (*.f64 y x)))
(fma.f64 29/12 y (.f64 (.f64 y x) -841/48))
(fma.f64 (.f64 y x) -841/48 (.f64 y 29/12))
(.f64 y (+.f64 29/12 (.f64 x -841/48)))
(*.f64 y (fma.f64 x -841/48 29/12))
(+.f64 (.f64 29/12 y) (+.f64 (.f64 -841/48 (.f64 y x)) (.f64 24389/192 (*.f64 y (pow.f64 x 2)))))
(fma.f64 29/12 y (fma.f64 -841/48 (.f64 y x) (.f64 24389/192 (.f64 y (.f64 x x)))))
(fma.f64 y 29/12 (fma.f64 (.f64 y x) -841/48 (.f64 (.f64 x x) (.f64 y 24389/192))))
(fma.f64 y 29/12 (.f64 x (+.f64 (.f64 y -841/48) (.f64 y (.f64 24389/192 x)))))
(.f64 y (+.f64 29/12 (.f64 x (+.f64 -841/48 (*.f64 x 24389/192)))))
(+.f64 (.f64 29/12 y) (+.f64 (.f64 -841/48 (.f64 y x)) (+.f64 (.f64 -707281/768 (.f64 y (pow.f64 x 3))) (.f64 24389/192 (*.f64 y (pow.f64 x 2))))))
(fma.f64 29/12 y (fma.f64 -841/48 (.f64 y x) (fma.f64 -707281/768 (.f64 y (pow.f64 x 3)) (.f64 24389/192 (.f64 y (*.f64 x x))))))
(fma.f64 y 29/12 (fma.f64 (.f64 y x) -841/48 (fma.f64 -707281/768 (.f64 y (pow.f64 x 3)) (.f64 (.f64 x x) (*.f64 y 24389/192)))))
(fma.f64 y 29/12 (fma.f64 y (.f64 x -841/48) (.f64 y (+.f64 (.f64 x (.f64 x 24389/192)) (*.f64 -707281/768 (pow.f64 x 3))))))
(.f64 y (+.f64 (fma.f64 x -841/48 29/12) (.f64 (.f64 x x) (+.f64 24389/192 (.f64 x -707281/768)))))
(.f64 y (+.f64 29/12 (.f64 x (+.f64 (.f64 x (+.f64 24389/192 (.f64 x -707281/768))) -841/48))))
(*.f64 1/3 (/.f64 y x))
(*.f64 y (/.f64 1/3 x))
(+.f64 (.f64 1/3 (/.f64 y x)) (.f64 -4/87 (/.f64 y (pow.f64 x 2))))
(fma.f64 1/3 (/.f64 y x) (/.f64 (.f64 -4/87 y) (.f64 x x)))
(fma.f64 1/3 (/.f64 y x) (/.f64 (.f64 y -4/87) (.f64 x x)))
(*.f64 (/.f64 y x) (+.f64 1/3 (/.f64 -4/87 x)))
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 (.f64 -4/87 (/.f64 y (pow.f64 x 2))) (*.f64 16/2523 (/.f64 y (pow.f64 x 3)))))
(fma.f64 1/3 (/.f64 y x) (fma.f64 -4/87 (/.f64 y (.f64 x x)) (.f64 16/2523 (/.f64 y (pow.f64 x 3)))))
(fma.f64 16/2523 (/.f64 y (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 1/3 (/.f64 -4/87 x))))
(.f64 (/.f64 y x) (+.f64 (+.f64 (/.f64 16/2523 (.f64 x x)) (/.f64 -4/87 x)) 1/3))
(.f64 (/.f64 y x) (+.f64 (/.f64 -4/87 x) (+.f64 1/3 (/.f64 16/2523 (.f64 x x)))))
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 (.f64 -4/87 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -64/73167 (/.f64 y (pow.f64 x 4))) (.f64 16/2523 (/.f64 y (pow.f64 x 3))))))
(fma.f64 1/3 (/.f64 y x) (fma.f64 -4/87 (/.f64 y (.f64 x x)) (fma.f64 -64/73167 (/.f64 y (pow.f64 x 4)) (.f64 16/2523 (/.f64 y (pow.f64 x 3))))))
(fma.f64 1/3 (/.f64 y x) (fma.f64 -4/87 (/.f64 y (.f64 x x)) (fma.f64 16/2523 (/.f64 y (pow.f64 x 3)) (/.f64 (.f64 y -64/73167) (pow.f64 x 4)))))
(fma.f64 1/3 (/.f64 y x) (fma.f64 -64/73167 (/.f64 y (pow.f64 x 4)) (.f64 (/.f64 y (.f64 x x)) (+.f64 -4/87 (/.f64 16/2523 x)))))
(fma.f64 (/.f64 y x) (+.f64 1/3 (/.f64 -4/87 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 16/2523 (/.f64 -64/73167 x))))
(fma.f64 (/.f64 y x) (+.f64 1/3 (/.f64 -4/87 x)) (/.f64 (*.f64 y (+.f64 16/2523 (/.f64 -64/73167 x))) (pow.f64 x 3)))
(*.f64 1/3 (/.f64 y x))
(*.f64 y (/.f64 1/3 x))
(+.f64 (.f64 1/3 (/.f64 y x)) (.f64 -4/87 (/.f64 y (pow.f64 x 2))))
(fma.f64 1/3 (/.f64 y x) (/.f64 (.f64 -4/87 y) (.f64 x x)))
(fma.f64 1/3 (/.f64 y x) (/.f64 (.f64 y -4/87) (.f64 x x)))
(*.f64 (/.f64 y x) (+.f64 1/3 (/.f64 -4/87 x)))
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 (.f64 -4/87 (/.f64 y (pow.f64 x 2))) (*.f64 16/2523 (/.f64 y (pow.f64 x 3)))))
(fma.f64 1/3 (/.f64 y x) (fma.f64 -4/87 (/.f64 y (.f64 x x)) (.f64 16/2523 (/.f64 y (pow.f64 x 3)))))
(fma.f64 16/2523 (/.f64 y (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 1/3 (/.f64 -4/87 x))))
(.f64 (/.f64 y x) (+.f64 (+.f64 (/.f64 16/2523 (.f64 x x)) (/.f64 -4/87 x)) 1/3))
(.f64 (/.f64 y x) (+.f64 (/.f64 -4/87 x) (+.f64 1/3 (/.f64 16/2523 (.f64 x x)))))
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 (.f64 -4/87 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -64/73167 (/.f64 y (pow.f64 x 4))) (.f64 16/2523 (/.f64 y (pow.f64 x 3))))))
(fma.f64 1/3 (/.f64 y x) (fma.f64 -4/87 (/.f64 y (.f64 x x)) (fma.f64 -64/73167 (/.f64 y (pow.f64 x 4)) (.f64 16/2523 (/.f64 y (pow.f64 x 3))))))
(fma.f64 1/3 (/.f64 y x) (fma.f64 -4/87 (/.f64 y (.f64 x x)) (fma.f64 16/2523 (/.f64 y (pow.f64 x 3)) (/.f64 (.f64 y -64/73167) (pow.f64 x 4)))))
(fma.f64 1/3 (/.f64 y x) (fma.f64 -64/73167 (/.f64 y (pow.f64 x 4)) (.f64 (/.f64 y (.f64 x x)) (+.f64 -4/87 (/.f64 16/2523 x)))))
(fma.f64 (/.f64 y x) (+.f64 1/3 (/.f64 -4/87 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 16/2523 (/.f64 -64/73167 x))))
(fma.f64 (/.f64 y x) (+.f64 1/3 (/.f64 -4/87 x)) (/.f64 (*.f64 y (+.f64 16/2523 (/.f64 -64/73167 x))) (pow.f64 x 3)))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (fma.f64 3 x 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (fma.f64 3 x 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (fma.f64 3 x 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (fma.f64 3 x 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (fma.f64 3 x 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (fma.f64 3 x 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (fma.f64 3 x 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (fma.f64 3 x 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (fma.f64 3 x 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (fma.f64 3 x 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (fma.f64 3 x 12/29))
(/.f64 y (+.f64 (*.f64 3 x) 12/29))
(/.f64 y (fma.f64 3 x 12/29))
(/.f64 12/29 y)
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(+.f64 (/.f64 12/29 y) (*.f64 3 (/.f64 x y)))
(fma.f64 3 (/.f64 x y) (/.f64 12/29 y))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(+.f64 (/.f64 12/29 y) (*.f64 3 (/.f64 x y)))
(fma.f64 3 (/.f64 x y) (/.f64 12/29 y))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(+.f64 (/.f64 12/29 y) (*.f64 3 (/.f64 x y)))
(fma.f64 3 (/.f64 x y) (/.f64 12/29 y))
(*.f64 3 (/.f64 x y))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(+.f64 (/.f64 12/29 y) (*.f64 3 (/.f64 x y)))
(fma.f64 3 (/.f64 x y) (/.f64 12/29 y))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(+.f64 (/.f64 12/29 y) (*.f64 3 (/.f64 x y)))
(fma.f64 3 (/.f64 x y) (/.f64 12/29 y))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(+.f64 (/.f64 12/29 y) (*.f64 3 (/.f64 x y)))
(fma.f64 3 (/.f64 x y) (/.f64 12/29 y))
(*.f64 3 (/.f64 x y))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(+.f64 (/.f64 12/29 y) (*.f64 3 (/.f64 x y)))
(fma.f64 3 (/.f64 x y) (/.f64 12/29 y))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(+.f64 (/.f64 12/29 y) (*.f64 3 (/.f64 x y)))
(fma.f64 3 (/.f64 x y) (/.f64 12/29 y))
(+.f64 (.f64 12/29 (/.f64 1 y)) (.f64 3 (/.f64 x y)))
(+.f64 (/.f64 12/29 y) (*.f64 3 (/.f64 x y)))
(fma.f64 3 (/.f64 x y) (/.f64 12/29 y))
(/.f64 (+.f64 (*.f64 3 x) 12/29) y)
(/.f64 (fma.f64 3 x 12/29) y)
(/.f64 (+.f64 (*.f64 3 x) 12/29) y)
(/.f64 (fma.f64 3 x 12/29) y)
(/.f64 (+.f64 (*.f64 3 x) 12/29) y)
(/.f64 (fma.f64 3 x 12/29) y)
(/.f64 (+.f64 (*.f64 3 x) 12/29) y)
(/.f64 (fma.f64 3 x 12/29) y)
(/.f64 (+.f64 (*.f64 3 x) 12/29) y)
(/.f64 (fma.f64 3 x 12/29) y)
(/.f64 (+.f64 (*.f64 3 x) 12/29) y)
(/.f64 (fma.f64 3 x 12/29) y)
(/.f64 (+.f64 (*.f64 3 x) 12/29) y)
(/.f64 (fma.f64 3 x 12/29) y)
(/.f64 (+.f64 (*.f64 3 x) 12/29) y)
(/.f64 (fma.f64 3 x 12/29) y)
(/.f64 (+.f64 (*.f64 3 x) 12/29) y)
(/.f64 (fma.f64 3 x 12/29) y)
(/.f64 (+.f64 (*.f64 3 x) 12/29) y)
(/.f64 (fma.f64 3 x 12/29) y)
(/.f64 (+.f64 (*.f64 3 x) 12/29) y)
(/.f64 (fma.f64 3 x 12/29) y)
(/.f64 (+.f64 (*.f64 3 x) 12/29) y)
(/.f64 (fma.f64 3 x 12/29) y)
-144/841
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)

eval359.0ms (5.4%)

Compiler: Compiled 10786 to 7667 computations (28.9% saved)

prune274.0ms (4.1%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	594	6	600
Fresh	3	1	4
Picked	1	0	1
Done	2	8	10
Total	600	15	615

Error

Counts

615 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	51.1b	(.f64 (.f64 y (sqrt.f64 (.f64 3 x))) (sqrt.f64 (.f64 3 x)))
✓	36.2b	(pow.f64 (cbrt.f64 (.f64 (.f64 3 x) y)) 3)
	27.0b	(/.f64 (.f64 y -1728/24389) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (.f64 x 36/29))))
✓	0.2b	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
	45.3b	(/.f64 (.f64 (.f64 y x) (.f64 x 9)) (.f64 3 x))
	27.6b	(.f64 3 (.f64 y -4/29))
	48.9b	(.f64 (fma.f64 x (.f64 9 x) -144/841) (*.f64 y (/.f64 1/3 x)))
✓	35.8b	(.f64 (.f64 y 3) x)
	1.4b	(.f64 3 (pow.f64 (cbrt.f64 (.f64 y (+.f64 x -4/29))) 3))
✓	35.8b	(.f64 (.f64 x 3) y)
✓	27.5b	(*.f64 -12/29 y)
✓	35.8b	(.f64 3 (.f64 y x))
	0.3b	(+.f64 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))

Compiler

Compiled 154 to 117 computations (24% saved)

regimes224.0ms (3.4%)

Counts

41 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(.f64 3 (.f64 y -4/29))
(.f64 (.f64 y 3) x)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 (.f64 x 3) y)
(.f64 (.f64 x 3) y)
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 3 (.f64 y (-.f64 x 4/29)))
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(/.f64 (.f64 (.f64 y x) (.f64 x 9)) (.f64 3 x))
(+.f64 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))
(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) 12/29)
(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))
(/.f64 (.f64 y -1728/24389) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (.f64 x 36/29))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x 3) (.f64 x 3)) 144/841) (-.f64 (*.f64 x 3) -12/29)) y)
(*.f64 (fma.f64 x 3 -12/29) y)
(pow.f64 (.f64 -4/29 (.f64 3 y)) 1)
(pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 1)
(.f64 (fma.f64 x (.f64 9 x) -144/841) (*.f64 y (/.f64 1/3 x)))
(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
(.f64 (.f64 (*.f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29))) 3) y)
(/.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 (cbrt.f64 (.f64 (.f64 3 x) y)) 3)
(.f64 3 (pow.f64 (cbrt.f64 (.f64 y (+.f64 x -4/29))) 3))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2) 3) y)
(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3) 3) y)
(.f64 (.f64 y (sqrt.f64 (.f64 3 x))) (sqrt.f64 (.f64 3 x)))
(.f64 (fma.f64 9 (.f64 x x) -144/841) (/.f64 1 (/.f64 (fma.f64 x 3 12/29) y)))
(.f64 (.f64 (/.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) 3) y)
(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 3 y)) (*.f64 y -12/29))
(fma.f64 (.f64 y (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)) (.f64 y -12/29))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (cbrt.f64 (fma.f64 x 3 -12/29))) y)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x 3 -12/29) y) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x 3 -12/29) y) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))))

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

Calls

7 calls:

63.0ms	(-.f64 x (/.f64 16 116))
50.0ms	x
22.0ms	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
20.0ms	y
18.0ms	(-.f64 x (/.f64 16 116))

Results

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

Compiler

Compiled 479 to 347 computations (27.6% saved)

regimes63.0ms (0.9%)

Counts

19 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(.f64 3 (.f64 y -4/29))
(.f64 (.f64 y 3) x)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 (.f64 x 3) y)
(.f64 (.f64 x 3) y)
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 3 (.f64 y (-.f64 x 4/29)))
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(/.f64 (.f64 (.f64 y x) (.f64 x 9)) (.f64 3 x))
(+.f64 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))
(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) 12/29)
(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))
(/.f64 (.f64 y -1728/24389) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (.f64 x 36/29))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x 3) (.f64 x 3)) 144/841) (-.f64 (*.f64 x 3) -12/29)) y)

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

Calls

7 calls:

11.0ms	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
10.0ms	y
10.0ms	x
7.0ms	(-.f64 x (/.f64 16 116))
7.0ms	(*.f64 (-.f64 x (/.f64 16 116)) 3)

Results

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

Compiler

Compiled 206 to 147 computations (28.6% saved)

regimes16.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
6.0ms	y

Results

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

Compiler

Compiled 53 to 34 computations (35.8% saved)

regimes57.0ms (0.9%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	y
16.0ms	x

Results

Error	Segments	Branch
1.9b	3	`x`
20.7b	7	`y`

Compiler

Compiled 46 to 29 computations (37% saved)

bsearch79.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	5.45949778373815e-6	1575186.248770459
19.0ms	-11.2965507181115	-0.0007045183427459086

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes47.0ms (0.7%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	y
13.0ms	x

Results

Error	Segments	Branch
2.0b	3	`x`
20.7b	7	`y`

Compiler

Compiled 31 to 21 computations (32.3% saved)

bsearch38.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	5.45949778373815e-6	1575186.248770459
19.0ms	-11.2965507181115	-0.0007045183427459086

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes32.0ms (0.5%)

Accuracy

Total -0.1b remaining (-0.4%)

Threshold costs -0.1b (-0.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 -12/29 y)

Calls

2 calls:

28.0ms	x
3.0ms	y

Results

Error	Segments	Branch
27.5b	1	`x`
27.5b	1	`y`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	92
1	43	92
2	45	92

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (fma.f64 x 3 -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 3 (.f64 y (-.f64 x 4/29)))
(if (<=.f64 x -3179696350291179/281474976710656) (.f64 (.f64 y 3) x) (if (<=.f64 x 3222718668403269/590295810358705651712) (.f64 -12/29 y) (.f64 (*.f64 x 3) y)))
(if (<=.f64 x -3179696350291179/281474976710656) (.f64 (.f64 y 3) x) (if (<=.f64 x 3222718668403269/590295810358705651712) (.f64 -12/29 y) (.f64 (*.f64 y 3) x)))
(*.f64 -12/29 y)

Outputs
(*.f64 (fma.f64 x 3 -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 y (+.f64 (.f64 x 3) -12/29))
(.f64 y (+.f64 -12/29 (.f64 x 3)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(if (<=.f64 x -3179696350291179/281474976710656) (.f64 (.f64 y 3) x) (if (<=.f64 x 3222718668403269/590295810358705651712) (.f64 -12/29 y) (.f64 (*.f64 x 3) y)))
(if (<=.f64 x -3179696350291179/281474976710656) (.f64 x (.f64 3 y)) (if (<=.f64 x 3222718668403269/590295810358705651712) (.f64 -12/29 y) (.f64 y (*.f64 x 3))))
(if (<=.f64 x -3179696350291179/281474976710656) (.f64 (.f64 y 3) x) (if (<=.f64 x 3222718668403269/590295810358705651712) (.f64 -12/29 y) (.f64 (*.f64 y 3) x)))
(if (<=.f64 x -3179696350291179/281474976710656) (.f64 x (.f64 3 y)) (if (<=.f64 x 3222718668403269/590295810358705651712) (.f64 -12/29 y) (.f64 x (*.f64 3 y))))
(*.f64 -12/29 y)

Compiler

Compiled 77 to 56 computations (27.3% saved)

soundness13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`fma-def_binary64`
13×	`distribute-lft-in_binary64`
13×	`distribute-rgt-in_binary64`
10×	`*-commutative_binary64`
9×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	18	10
2	33	8
3	65	8
4	104	8
5	110	8

Stop Event

1×

saturated

Compiler

Compiled 90 to 74 computations (17.8% saved)

end49.0ms (0.7%)

Compiler: Compiled 67 to 46 computations (31.3% saved)

Iter	Nodes	Cost
0	19	417
1	44	354
2	112	354
3	208	354
4	265	354
5	401	354
6	651	354
7	891	354
8	988	354
9	994	354

Iter	Nodes	Cost
0	19	417
1	44	354
2	112	354
3	208	354
4	265	354
5	401	354
6	651	354
7	891	354
8	988	354
9	994	354

Iter	Nodes	Cost
0	19	417
1	44	354
2	112	354
3	208	354
4	265	354
5	401	354
6	651	354
7	891	354
8	988	354
9	994	354