Details

analyze90.0ms (1.4%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.2s (18.8%)

Results

1.2s	8256×	body	256	valid
21.0ms	145×	body	256	infinite

Bogosity

preprocess17.0ms (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)

simplify64.0ms (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 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
▶	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 25 computations (19.4% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite68.0ms (1%)

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	17
1	218	17
2	2463	13

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

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

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)))))

simplify15.0ms (0.2%)

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	16	303
1	33	303
2	60	240
3	96	240
4	102	240

Stop Event

1×

saturated

Counts

102 → 75

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)

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)

localize129.0ms (2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite59.0ms (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)))))))

simplify12.0ms (0.2%)

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)

eval35.0ms (0.5%)

Compiler: Compiled 1171 to 885 computations (24.4% saved)

prune23.0ms (0.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	111	8	119
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	111	10	121

Error

0.0b

Counts

121 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
	26.9b	(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
	36.3b	(.f64 3 (.f64 y x))
▶	0.7b	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3) y)
▶	36.3b	(.f64 (.f64 3 x) y)
▶	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
▶	26.7b	(*.f64 -12/29 y)
▶	13.4b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)

Compiler

Compiled 163 to 125 computations (23.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

series4.0ms (0.1%)

Counts

2 → 15

Calls

9 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	x	@	0	(.f64 (-.f64 (.f64 3 x) 12/29) y)
0.0ms	x	@	inf	(.f64 (-.f64 (.f64 3 x) 12/29) y)
0.0ms	y	@	inf	(.f64 (-.f64 (.f64 3 x) 12/29) y)

rewrite60.0ms (0.9%)

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	13
1	173	13
2	2068	13

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	126
1	18	126
2	27	117
3	34	99
4	38	99

Stop Event

1×

saturated

Counts

66 → 58

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite45.0ms (0.7%)

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))))))

simplify7.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`pow1_binary64`
513×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
502×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1398	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify10.0ms (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 x 4/29)
✓	0.0b	(fma.f64 x x -16/841)
✓	5.3b	(.f64 (fma.f64 x x -16/841) (.f64 3 y))
✓	7.5b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))

Compiler

Compiled 37 to 24 computations (35.1% saved)

series15.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(.f64 (fma.f64 x x -16/841) (.f64 3 y))
1.0ms	y	@	0	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
1.0ms	x	@	0	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
1.0ms	x	@	inf	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
1.0ms	x	@	-inf	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))

rewrite134.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`log-prod_binary64`
354×	`pow-prod-down_binary64`
304×	`pow2_binary64`
212×	`pow1/3_binary64`
212×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	241	30
2	3165	30

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 x -4/29) (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -16/841) (/.f64 1 (.f64 1/3 (/.f64 (+.f64 x 4/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -16/841) (.f64 (.f64 3 y) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 y) (.f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (/.f64 1 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 x -4/29) (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) (pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 2) (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) 2) (.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) (.f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) (/.f64 1 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(#(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 exp.f64 (.f64 (log.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (+.f64 x -4/29) (*.f64 3 y)))) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 x x -16/841) (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) (.f64 3 y)) (.f64 -16/841 (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 3 y) (.f64 x x)) (.f64 (.f64 3 y) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 y (fma.f64 x x -16/841)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 y (fma.f64 x x -16/841))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (.f64 y (fma.f64 x x -16/841))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (.f64 y (fma.f64 x x -16/841))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (.f64 y (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 y) (.f64 x x) (.f64 (.f64 3 y) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) (.f64 3 y) (.f64 -16/841 (.f64 3 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -16/841 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x x -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 1) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -16/841))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -16/841)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x x) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x -16/841))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -16/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x x -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x x -16/841)) (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2) (cbrt.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -16/841)) (sqrt.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (+.f64 (pow.f64 x 4) (-.f64 256/707281 (.f64 (.f64 x x) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) 256/707281) (fma.f64 x x 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) 4096/594823321) (+.f64 (pow.f64 x 4) (+.f64 256/707281 (.f64 (.f64 x x) 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -16/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -16/841) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -16/841) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -16/841)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -16/841) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -16/841) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x x -16/841)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x x -16/841))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x x -16/841))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -16/841))) 2))))))
((#(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 (fma.f64 x x -16/841) (/.f64 1 (+.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 (-.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 1 (/.f64 (-.f64 (fma.f64 x x 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)) (-.f64 (fma.f64 x x 16/841) (.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (pow.f64 x 3)) (+.f64 16/841 (-.f64 (.f64 x x) (.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/841)) (neg.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x 16/841) (.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (.f64 x x)) (-.f64 4/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (/.f64 (-.f64 (fma.f64 x x 16/841) (.f64 x 4/29)) (+.f64 64/24389 (pow.f64 x 3))) -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 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 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) (pow.f64 (cbrt.f64 x) 2) 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)))))

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

781×	`associate-/r/_binary64`
592×	`distribute-rgt-neg-in_binary64`
588×	`fma-neg_binary64`
517×	`cancel-sign-sub-inv_binary64`
363×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	774
1	53	732
2	112	660
3	256	642
4	556	642
5	1536	642
6	2915	642
7	5231	642

Stop Event

1×	node limit

Counts

227 → 178

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(*.f64 -48/841 y)
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
-16/841
(-.f64 (pow.f64 x 2) 16/841)
(-.f64 (pow.f64 x 2) 16/841)
(-.f64 (pow.f64 x 2) 16/841)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 16/841)
(-.f64 (pow.f64 x 2) 16/841)
(-.f64 (pow.f64 x 2) 16/841)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 16/841)
(-.f64 (pow.f64 x 2) 16/841)
(-.f64 (pow.f64 x 2) 16/841)
4/29
(+.f64 4/29 x)
(+.f64 4/29 x)
(+.f64 4/29 x)
x
(+.f64 4/29 x)
(+.f64 4/29 x)
(+.f64 4/29 x)
x
(+.f64 4/29 x)
(+.f64 4/29 x)
(+.f64 4/29 x)

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 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 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 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 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 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (+.f64 (.f64 x x) -16/841))))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 y (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(.f64 y (.f64 (fma.f64 x x -16/841) (/.f64 3 (+.f64 x 4/29))))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (+.f64 (.f64 x x) -16/841))))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 y (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(.f64 y (.f64 (fma.f64 x x -16/841) (/.f64 3 (+.f64 x 4/29))))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (+.f64 (.f64 x x) -16/841))))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 y (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(.f64 y (.f64 (fma.f64 x x -16/841) (/.f64 3 (+.f64 x 4/29))))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (+.f64 (.f64 x x) -16/841))))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 y (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(.f64 y (.f64 (fma.f64 x x -16/841) (/.f64 3 (+.f64 x 4/29))))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (+.f64 (.f64 x x) -16/841))))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 y (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(.f64 y (.f64 (fma.f64 x x -16/841) (/.f64 3 (+.f64 x 4/29))))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (+.f64 (.f64 x x) -16/841))))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 y (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(.f64 y (.f64 (fma.f64 x x -16/841) (/.f64 3 (+.f64 x 4/29))))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (+.f64 (.f64 x x) -16/841))))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 y (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(.f64 y (.f64 (fma.f64 x x -16/841) (/.f64 3 (+.f64 x 4/29))))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (+.f64 (.f64 x x) -16/841))))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 y (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(.f64 y (.f64 (fma.f64 x x -16/841) (/.f64 3 (+.f64 x 4/29))))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (+.f64 (.f64 x x) -16/841))))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 y (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(.f64 y (.f64 (fma.f64 x x -16/841) (/.f64 3 (+.f64 x 4/29))))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (+.f64 (.f64 x x) -16/841))))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 y (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(.f64 y (.f64 (fma.f64 x x -16/841) (/.f64 3 (+.f64 x 4/29))))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (+.f64 (.f64 x x) -16/841))))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 y (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(.f64 y (.f64 (fma.f64 x x -16/841) (/.f64 3 (+.f64 x 4/29))))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (+.f64 (.f64 x x) -16/841))))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (fma.f64 x x -16/841)))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 y (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(.f64 y (.f64 (fma.f64 x x -16/841) (/.f64 3 (+.f64 x 4/29))))
(*.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(*.f64 -48/841 y)
(*.f64 y -48/841)
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 3 (.f64 x (*.f64 y x)))
(.f64 x (.f64 x (*.f64 y 3)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 3 (.f64 x (*.f64 y x)))
(.f64 x (.f64 x (*.f64 y 3)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(+.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (*.f64 -48/841 y))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (-.f64 (pow.f64 x 2) 16/841)))
(fma.f64 3 (.f64 y (.f64 x x)) (*.f64 y -48/841))
(fma.f64 y -48/841 (.f64 y (.f64 (*.f64 x x) 3)))
(.f64 y (.f64 3 (fma.f64 x x -16/841)))
(.f64 3 (.f64 y (fma.f64 x x -16/841)))
-16/841
(-.f64 (pow.f64 x 2) 16/841)
(+.f64 (*.f64 x x) -16/841)
(fma.f64 x x -16/841)
(-.f64 (pow.f64 x 2) 16/841)
(+.f64 (*.f64 x x) -16/841)
(fma.f64 x x -16/841)
(-.f64 (pow.f64 x 2) 16/841)
(+.f64 (*.f64 x x) -16/841)
(fma.f64 x x -16/841)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 16/841)
(+.f64 (*.f64 x x) -16/841)
(fma.f64 x x -16/841)
(-.f64 (pow.f64 x 2) 16/841)
(+.f64 (*.f64 x x) -16/841)
(fma.f64 x x -16/841)
(-.f64 (pow.f64 x 2) 16/841)
(+.f64 (*.f64 x x) -16/841)
(fma.f64 x x -16/841)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 16/841)
(+.f64 (*.f64 x x) -16/841)
(fma.f64 x x -16/841)
(-.f64 (pow.f64 x 2) 16/841)
(+.f64 (*.f64 x x) -16/841)
(fma.f64 x x -16/841)
(-.f64 (pow.f64 x 2) 16/841)
(+.f64 (*.f64 x x) -16/841)
(fma.f64 x x -16/841)
4/29
(+.f64 4/29 x)
(+.f64 x 4/29)
(+.f64 4/29 x)
(+.f64 x 4/29)
(+.f64 4/29 x)
(+.f64 x 4/29)
x
(+.f64 4/29 x)
(+.f64 x 4/29)
(+.f64 4/29 x)
(+.f64 x 4/29)
(+.f64 4/29 x)
(+.f64 x 4/29)
x
(+.f64 4/29 x)
(+.f64 x 4/29)
(+.f64 4/29 x)
(+.f64 x 4/29)
(+.f64 4/29 x)
(+.f64 x 4/29)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 x 3 -12/29)
✓	0.2b	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3) y)
✓	0.2b	(cbrt.f64 (fma.f64 x 3 -12/29))
✓	0.3b	(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)

Compiler

Compiled 31 to 24 computations (22.6% saved)

series14.0ms (0.2%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)
1.0ms	y	@	inf	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3) y)
1.0ms	y	@	0	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3) y)

rewrite133.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`pow1_binary64`
685×	`add-log-exp_binary64`
685×	`log1p-expm1-u_binary64`
685×	`expm1-log1p-u_binary64`
670×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	189	20
2	1886	20

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

Outputs

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

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

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

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

679×	`associate-/l*_binary64`
427×	`associate-/r*_binary64`
424×	`fma-def_binary64`
405×	`associate-*l/_binary64`
350×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	639
1	260	501
2	783	479
3	3925	437

Stop Event

1×	node limit

Counts

91 → 79

Calls

Call 1

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

Outputs
-12/29
(-.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)) 1/3)) (pow.f64 (pow.f64 (cbrt.f64 -12/29) 4) 1/3)) x) 12/29)
(fma.f64 (fma.f64 2 (cbrt.f64 (pow.f64 (cbrt.f64 -12/29) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 -12/29) 4))) x -12/29)
(fma.f64 (*.f64 3 (cbrt.f64 (pow.f64 (cbrt.f64 -12/29) 4))) x -12/29)
(fma.f64 (.f64 (cbrt.f64 (.f64 -12/29 (cbrt.f64 -12/29))) 3) x -12/29)
(fma.f64 (.f64 x 3) (cbrt.f64 (.f64 -12/29 (cbrt.f64 -12/29))) -12/29)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)) 1/3) (.f64 -2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)) 1/3))) (cbrt.f64 -12/29)) (+.f64 (.f64 2 (pow.f64 (/.f64 1 (cbrt.f64 -12/29)) 1/3)) (.f64 -1 (pow.f64 (/.f64 1 (cbrt.f64 -12/29)) 1/3)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)) 1/3)) (pow.f64 (pow.f64 (cbrt.f64 -12/29) 4) 1/3)) x)) 12/29)
(+.f64 (.f64 (fma.f64 (.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)))) (cbrt.f64 -12/29) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -12/29))) 1)) (.f64 x x)) (fma.f64 (fma.f64 2 (cbrt.f64 (pow.f64 (cbrt.f64 -12/29) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 -12/29) 4))) x -12/29))
(fma.f64 (fma.f64 (cbrt.f64 -12/29) (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)))) (cbrt.f64 (/.f64 1 (cbrt.f64 -12/29)))) (.f64 x x) (fma.f64 (.f64 3 (cbrt.f64 (pow.f64 (cbrt.f64 -12/29) 4))) x -12/29))
(fma.f64 x (.f64 x (fma.f64 (cbrt.f64 -12/29) (neg.f64 (cbrt.f64 (/.f64 -29/12 (cbrt.f64 -12/29)))) (cbrt.f64 (/.f64 1 (cbrt.f64 -12/29))))) (fma.f64 (.f64 (cbrt.f64 (*.f64 -12/29 (cbrt.f64 -12/29))) 3) x -12/29))
(fma.f64 x (+.f64 (.f64 (cbrt.f64 (.f64 -12/29 (cbrt.f64 -12/29))) 3) (*.f64 x (fma.f64 (neg.f64 (cbrt.f64 -12/29)) (cbrt.f64 (/.f64 -29/12 (cbrt.f64 -12/29))) (cbrt.f64 (/.f64 1 (cbrt.f64 -12/29)))))) -12/29)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)) 1/3) (.f64 -2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)) 1/3))) (cbrt.f64 -12/29)) (+.f64 (.f64 2 (pow.f64 (/.f64 1 (cbrt.f64 -12/29)) 1/3)) (.f64 -1 (pow.f64 (/.f64 1 (cbrt.f64 -12/29)) 1/3)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)) 1/3)) (pow.f64 (pow.f64 (cbrt.f64 -12/29) 4) 1/3)) x) (.f64 (+.f64 (.f64 -1/3 (+.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)))))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) 1/3) (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)) 1/3) (.f64 -2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)) 1/3)))) (+.f64 (.f64 (cbrt.f64 -12/29) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))))) (cbrt.f64 -12/29))) (.f64 29/6 (pow.f64 1 1/3)))) (.f64 -2 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))))))) (pow.f64 x 3)))) 12/29)
(+.f64 (fma.f64 (fma.f64 (.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)))) (cbrt.f64 -12/29) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -12/29))) 1)) (.f64 x x) (fma.f64 (fma.f64 2 (cbrt.f64 (pow.f64 (cbrt.f64 -12/29) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 -12/29) 4))) x (.f64 (fma.f64 -1/3 (+.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) -6)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) (.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)))) (fma.f64 (cbrt.f64 -12/29) (fma.f64 -2/3 (/.f64 (+.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) -6)) (cbrt.f64 -12/29)) 29/6) (.f64 -2 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)))))) (pow.f64 x 3)))) -12/29)
(+.f64 -12/29 (fma.f64 (fma.f64 (cbrt.f64 -12/29) (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)))) (cbrt.f64 (/.f64 1 (cbrt.f64 -12/29)))) (.f64 x x) (fma.f64 (fma.f64 -1/3 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) -5) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 4)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) (fma.f64 (cbrt.f64 -12/29) (fma.f64 -2/3 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) -5) (cbrt.f64 -12/29)) 29/6) (/.f64 -2 (pow.f64 (cbrt.f64 -12/29) 2))))) (pow.f64 x 3) (.f64 (*.f64 3 (cbrt.f64 (pow.f64 (cbrt.f64 -12/29) 4))) x))))
(fma.f64 x (.f64 x (fma.f64 (cbrt.f64 -12/29) (neg.f64 (cbrt.f64 (/.f64 -29/12 (cbrt.f64 -12/29)))) (cbrt.f64 (/.f64 1 (cbrt.f64 -12/29))))) (fma.f64 (.f64 (cbrt.f64 (*.f64 -12/29 (cbrt.f64 -12/29))) 3) x (fma.f64 (fma.f64 -1/3 (/.f64 -5 (pow.f64 (cbrt.f64 -12/29) 2)) (fma.f64 (cbrt.f64 -12/29) (fma.f64 -2/3 (/.f64 (/.f64 -5 (pow.f64 (cbrt.f64 -12/29) 2)) (cbrt.f64 -12/29)) 29/6) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -29/12 (cbrt.f64 -12/29)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) (/.f64 -2 (pow.f64 (cbrt.f64 -12/29) 2))))) (pow.f64 x 3) -12/29)))
(fma.f64 x (.f64 x (fma.f64 (neg.f64 (cbrt.f64 -12/29)) (cbrt.f64 (/.f64 -29/12 (cbrt.f64 -12/29))) (cbrt.f64 (/.f64 1 (cbrt.f64 -12/29))))) (fma.f64 (.f64 (cbrt.f64 (.f64 -12/29 (cbrt.f64 -12/29))) 3) x (fma.f64 (+.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 -12/29) 2)) (-.f64 (.f64 (cbrt.f64 -12/29) -29/9) (*.f64 (cbrt.f64 (/.f64 -29/12 (cbrt.f64 -12/29))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)))))) (pow.f64 x 3) -12/29)))
(cbrt.f64 -12/29)
(+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) 1/3) x) (cbrt.f64 -12/29))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) x (cbrt.f64 -12/29))
(fma.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) (cbrt.f64 -12/29))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) 1/3) x) (+.f64 (.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7)) 1/3) (pow.f64 x 2))) (cbrt.f64 -12/29)))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) x (fma.f64 -1 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7)))) (cbrt.f64 -12/29)))
(fma.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) (-.f64 (cbrt.f64 -12/29) (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7))))))
(+.f64 (cbrt.f64 -12/29) (.f64 x (-.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7)))))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) 1/3) x) (+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7)) 1/3) (pow.f64 x 2))) (+.f64 (cbrt.f64 -12/29) (.f64 -1/3 (/.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) (.f64 -6 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -12/29) 2))))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) x (+.f64 (fma.f64 -1 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7)))) (cbrt.f64 -12/29)) (.f64 -1/3 (/.f64 (+.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) -6)) (/.f64 (pow.f64 (cbrt.f64 -12/29) 2) (pow.f64 x 3))))))
(fma.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) (-.f64 (fma.f64 -1/3 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2)) -5) (/.f64 (pow.f64 (cbrt.f64 -12/29) 2) (pow.f64 x 3))) (cbrt.f64 -12/29)) (.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7))))))
(+.f64 (fma.f64 -1/3 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -12/29) 2)) (/.f64 -5 (pow.f64 (cbrt.f64 -12/29) 2))) (cbrt.f64 -12/29)) (.f64 x (-.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7)))))))
(+.f64 (fma.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 2))) (cbrt.f64 -12/29)) (.f64 (.f64 x x) (-.f64 (*.f64 -145/36 (/.f64 x (cbrt.f64 -12/29))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -12/29) 7))))))
(*.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 (.f64 3 y) x)
(.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 (.f64 3 y) x)
(.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 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 y (fma.f64 x 3 -12/29))

eval141.0ms (2.2%)

Compiler: Compiled 5380 to 4124 computations (23.3% saved)

prune65.0ms (1%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	371	6	377
Fresh	2	1	3
Picked	1	0	1
Done	2	4	6
Total	376	11	387

Error

Counts

387 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
▶	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	26.7b	(*.f64 -12/29 y)
	29.4b	(pow.f64 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 2)
▶	36.3b	(.f64 3 (.f64 y x))
▶	26.6b	(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
✓	36.3b	(.f64 (.f64 3 x) y)
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
▶	13.0b	(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) 1) (/.f64 y (+.f64 x 4/29)))
▶	36.3b	(.f64 x (.f64 3 y))
	13.3b	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))

Compiler

Compiled 184 to 141 computations (23.4% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 3 (.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)))

rewrite63.0ms (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	17
1	174	17
2	2114	17

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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	201
1	22	192
2	40	183
3	56	165
4	60	165

Stop Event

1×

saturated

Counts

58 → 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 -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))

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))

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

rewrite45.0ms (0.7%)

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))))))))

simplify7.0ms (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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (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 x (.f64 3 y))

Outputs

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

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))

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x 4/29)
✓	0.2b	(*.f64 y -48/841)
✓	0.2b	(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
1.0ms	y	@	-inf	(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
1.0ms	y	@	inf	(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
1.0ms	x	@	inf	(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
1.0ms	x	@	0	(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`unpow-prod-down_binary64`
424×	`log-prod_binary64`
328×	`exp-prod_binary64`
232×	`pow2_binary64`
230×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	179	14
2	2380	14

Stop Event

1×	node limit

Counts

2 → 129

Calls

Call 1

Inputs
(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
(*.f64 y -48/841)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 (+.f64 x 4/29) -841/48)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 -48/841 (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 (/.f64 1 (*.f64 (+.f64 x 4/29) -841/48)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 (*.f64 -48/841 (/.f64 1 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (*.f64 y (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (pow.f64 (/.f64 y (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (pow.f64 (/.f64 (+.f64 x 4/29) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -48/841) (/.f64 1 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841)) -2)) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2) (*.f64 (cbrt.f64 (*.f64 y -48/841)) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y -48/841)) (*.f64 (sqrt.f64 (*.f64 y -48/841)) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 48/841) (/.f64 1 (+.f64 -4/29 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 48/841) (pow.f64 (/.f64 1 (+.f64 -4/29 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 4/29)) (*.f64 y -48/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 4/29)) (pow.f64 (/.f64 1 (*.f64 y -48/841)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 -48/841 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 x 4/29)) -48/841)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y -48/841)) (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y -48/841)) 1) (/.f64 (sqrt.f64 (*.f64 y -48/841)) (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 -48/841 (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -48/841 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 y (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) -2) (/.f64 (*.f64 y -48/841) (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y -48/841)) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 (sqrt.f64 (*.f64 y -48/841)) (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (+.f64 x 4/29))) (/.f64 -48/841 (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -48/841 (sqrt.f64 (+.f64 x 4/29))) (/.f64 y (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 4/29) -1/2) (/.f64 (*.f64 y -48/841) (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2) (sqrt.f64 (+.f64 x 4/29))) (/.f64 (cbrt.f64 (*.f64 y -48/841)) (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y -48/841) (+.f64 64/24389 (pow.f64 x 3))) (-.f64 (fma.f64 x x 16/841) (*.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y -48/841) (fma.f64 x x -16/841)) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (+.f64 x 4/29)) 1) -48/841)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y 1) 1) (pow.f64 (/.f64 -48/841 (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y -48/841)) (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 y -48/841)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y -48/841)) (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) 1) (pow.f64 (/.f64 -48/841 (cbrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -48/841 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) 1) (pow.f64 (/.f64 y (cbrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) -2) 1) (pow.f64 (/.f64 (*.f64 y -48/841) (cbrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) 1) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 y -48/841)) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y -48/841)) (cbrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (sqrt.f64 (+.f64 x 4/29))) 1) (pow.f64 (/.f64 -48/841 (sqrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -48/841 (sqrt.f64 (+.f64 x 4/29))) 1) (pow.f64 (/.f64 y (sqrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x 4/29) -1/2) 1) (pow.f64 (/.f64 (*.f64 y -48/841) (sqrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2) (sqrt.f64 (+.f64 x 4/29))) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y -48/841)) (sqrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 y -48/841) (+.f64 64/24389 (pow.f64 x 3))) 1) (-.f64 (fma.f64 x x 16/841) (*.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 y -48/841) (fma.f64 x x -16/841)) 1) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 x 4/29)) 3))) 1/3) (pow.f64 (sqrt.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 x 4/29)) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841)) -2) (*.f64 y -48/841)) 1/3) (cbrt.f64 (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 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(+.f64 x 4/29) -841/48)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) y) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 4/29)) -48/841) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) y) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) -48/841) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) -48/841) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) -48/841) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 4/29)) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 4/29)) (*.f64 y -48/841)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (*.f64 y -48/841)) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (sqrt.f64 (*.f64 y -48/841))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (sqrt.f64 (*.f64 y -48/841))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 x 4/29)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 y -48/841) 3) (pow.f64 (+.f64 x 4/29) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 2)) (cbrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))) (sqrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y -48/841) (+.f64 -4/29 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 x 4/29)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y -48/841) 3) (pow.f64 (+.f64 x 4/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (*.f64 (+.f64 x 4/29) -841/48))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 y -48/841)) 1) (log.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y -48/841)) (*.f64 (log.f64 (+.f64 x 4/29)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 y -48/841)) 1) (*.f64 (log.f64 (+.f64 x 4/29)) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y -48/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -48/841) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -48/841) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -48/841) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -48/841) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y -48/841))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -48/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y -48/841) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y -48/841) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -48/841)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -48/841)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y -48/841)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y -48/841))) 2)) (cbrt.f64 (log.f64 (*.f64 y -48/841))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y -48/841)))) (sqrt.f64 (log.f64 (*.f64 y -48/841))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y -48/841) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -48/841) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y -48/841))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y -48/841) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -48/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -48/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -48/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y -48/841)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y -48/841))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y -48/841))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y -48/841))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y -48/841)) 1) 1))))))

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Rules

769×	`distribute-lft-out_binary64`
712×	`fma-def_binary64`
669×	`associate-/l*_binary64`
540×	`associate-/l/_binary64`
493×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	411
1	112	411
2	291	384
3	883	361
4	3377	360
5	7694	360

Stop Event

1×	node limit

Counts

165 → 147

Calls

Call 1

Inputs
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -87/4 (.f64 y (pow.f64 x 2))) (*.f64 -12/29 y)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 -87/4 (.f64 y (pow.f64 x 2))) (*.f64 -12/29 y))))
(*.f64 -48/841 (/.f64 y x))
(+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))
(*.f64 -48/841 (/.f64 y x))
(+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)

Outputs
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(*.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))
(fma.f64 y -12/29 (.f64 3 (.f64 y x)))
(.f64 y (+.f64 -12/29 (.f64 x 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -87/4 (.f64 y (pow.f64 x 2))) (*.f64 -12/29 y)))
(fma.f64 3 (.f64 y x) (fma.f64 -87/4 (.f64 y (.f64 x x)) (.f64 y -12/29)))
(fma.f64 3 (.f64 y x) (fma.f64 y -12/29 (.f64 -87/4 (.f64 x (.f64 y x)))))
(fma.f64 y (.f64 x 3) (.f64 y (+.f64 (.f64 x (.f64 x -87/4)) -12/29)))
(.f64 y (+.f64 -12/29 (.f64 x (+.f64 (*.f64 x -87/4) 3))))
(.f64 y (+.f64 -12/29 (.f64 x (+.f64 3 (*.f64 x -87/4)))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 -87/4 (.f64 y (pow.f64 x 2))) (*.f64 -12/29 y))))
(fma.f64 3 (.f64 y x) (fma.f64 2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 -87/4 (.f64 y (.f64 x x)) (*.f64 y -12/29))))
(fma.f64 3 (.f64 y x) (fma.f64 2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 y -12/29 (.f64 -87/4 (.f64 x (*.f64 y x))))))
(fma.f64 y (.f64 x 3) (fma.f64 2523/16 (.f64 y (pow.f64 x 3)) (.f64 y (+.f64 (.f64 x (*.f64 x -87/4)) -12/29))))
(.f64 y (+.f64 (.f64 x (+.f64 (*.f64 x -87/4) 3)) (fma.f64 2523/16 (pow.f64 x 3) -12/29)))
(.f64 y (+.f64 -12/29 (.f64 x (+.f64 3 (.f64 x (+.f64 -87/4 (.f64 x 2523/16)))))))
(*.f64 -48/841 (/.f64 y x))
(+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))
(fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x))))
(fma.f64 192/24389 (/.f64 y (.f64 x x)) (.f64 -48/841 (/.f64 y x)))
(*.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 192/24389 (/.f64 y (.f64 x x)) (.f64 -48/841 (/.f64 y x))))
(fma.f64 -48/841 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 -768/707281 x) 192/24389)))
(.f64 (/.f64 y x) (+.f64 -48/841 (+.f64 (/.f64 192/24389 x) (/.f64 -768/707281 (.f64 x x)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 192/24389 (/.f64 y (.f64 x x)) (.f64 -48/841 (/.f64 y x)))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -48/841 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 -768/707281 x) 192/24389))))
(fma.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -768/707281 (/.f64 3072/20511149 x))))
(fma.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)) (/.f64 (*.f64 y (+.f64 -768/707281 (/.f64 3072/20511149 x))) (pow.f64 x 3)))
(*.f64 -48/841 (/.f64 y x))
(+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))
(fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x))))
(fma.f64 192/24389 (/.f64 y (.f64 x x)) (.f64 -48/841 (/.f64 y x)))
(*.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 192/24389 (/.f64 y (.f64 x x)) (.f64 -48/841 (/.f64 y x))))
(fma.f64 -48/841 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 -768/707281 x) 192/24389)))
(.f64 (/.f64 y x) (+.f64 -48/841 (+.f64 (/.f64 192/24389 x) (/.f64 -768/707281 (.f64 x x)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 192/24389 (/.f64 y (.f64 x x)) (.f64 -48/841 (/.f64 y x)))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -48/841 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 -768/707281 x) 192/24389))))
(fma.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -768/707281 (/.f64 3072/20511149 x))))
(fma.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)) (/.f64 (*.f64 y (+.f64 -768/707281 (/.f64 3072/20511149 x))) (pow.f64 x 3)))
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)
(*.f64 -48/841 y)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x x -16/841)
✓	0.1b	(/.f64 y (+.f64 x 4/29))
✓	0.6b	(*.f64 (fma.f64 x x -16/841) 3)
✓	12.6b	(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) 1) (/.f64 y (+.f64 x 4/29)))

Compiler

Compiled 48 to 33 computations (31.3% saved)

series6.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (fma.f64 x x -16/841) 3)
1.0ms	y	@	-inf	(/.f64 y (+.f64 x 4/29))
1.0ms	y	@	inf	(/.f64 y (+.f64 x 4/29))
0.0ms	x	@	inf	(/.f64 y (+.f64 x 4/29))
0.0ms	x	@	0	(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) 1) (/.f64 y (+.f64 x 4/29)))

rewrite86.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log-prod_binary64`
371×	`pow-prod-down_binary64`
317×	`pow2_binary64`
221×	`pow1/3_binary64`
221×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	287	32
2	3378	32

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x x -16/841) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 3) -48/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) -48/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 x x -16/841)) 2)) (fma.f64 x x -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x x -16/841)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x x -16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -16/841) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 1 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/841) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1/3 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 9 (pow.f64 (fma.f64 x x -16/841) 2))) (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -16/841) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2) (/.f64 1/3 (cbrt.f64 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (fma.f64 x x -16/841) 3)) (pow.f64 (*.f64 (fma.f64 x x -16/841) 3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -16/841)) (/.f64 1/3 (sqrt.f64 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/841) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1/3 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/841)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 x x -16/841) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -16/841) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (pow.f64 (fma.f64 x x -16/841) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -16/841) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -16/841) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -16/841) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (fma.f64 x x -16/841)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (fma.f64 x x -16/841) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (fma.f64 x x -16/841) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -16/841) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -16/841) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -16/841) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -16/841) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x -16/841) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x -16/841) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x x) -48/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 3 -48/841)))))

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

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

841×	`distribute-lft-out_binary64`
713×	`associate-/l*_binary64`
631×	`fma-def_binary64`
533×	`associate-/l/_binary64`
481×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	747
1	128	711
2	321	689
3	953	648
4	3441	647
5	7379	647

Stop Event

1×	node limit

Counts

195 → 164

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
-48/841
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(*.f64 3 (pow.f64 x 2))
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(*.f64 3 (pow.f64 x 2))
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(*.f64 29/4 y)
(+.f64 (.f64 29/4 y) (.f64 -841/16 (*.f64 y x)))
(+.f64 (.f64 29/4 y) (+.f64 (.f64 -841/16 (.f64 y x)) (.f64 24389/64 (*.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -707281/256 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 29/4 y) (+.f64 (.f64 -841/16 (.f64 y x)) (.f64 24389/64 (*.f64 y (pow.f64 x 2))))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (.f64 -4/29 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -64/24389 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (.f64 -4/29 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -64/24389 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))))

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 x 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 y (.f64 x 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 y (.f64 x 3)))
(.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))
(fma.f64 -12/29 y (.f64 y (.f64 x 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 y (.f64 x 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 y (.f64 x 3)))
(.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))
(fma.f64 -12/29 y (.f64 y (.f64 x 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 y (.f64 x 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 y (.f64 x 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (+.f64 (*.f64 x x) -16/841)) (+.f64 x 4/29)))
(/.f64 (.f64 (.f64 y 3) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (.f64 y (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (+.f64 (*.f64 x x) -16/841)) (+.f64 x 4/29)))
(/.f64 (.f64 (.f64 y 3) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (.f64 y (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (+.f64 (*.f64 x x) -16/841)) (+.f64 x 4/29)))
(/.f64 (.f64 (.f64 y 3) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (.f64 y (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (+.f64 (*.f64 x x) -16/841)) (+.f64 x 4/29)))
(/.f64 (.f64 (.f64 y 3) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (.f64 y (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (+.f64 (*.f64 x x) -16/841)) (+.f64 x 4/29)))
(/.f64 (.f64 (.f64 y 3) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (.f64 y (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (+.f64 (*.f64 x x) -16/841)) (+.f64 x 4/29)))
(/.f64 (.f64 (.f64 y 3) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (.f64 y (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (+.f64 (*.f64 x x) -16/841)) (+.f64 x 4/29)))
(/.f64 (.f64 (.f64 y 3) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (.f64 y (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (+.f64 (*.f64 x x) -16/841)) (+.f64 x 4/29)))
(/.f64 (.f64 (.f64 y 3) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (.f64 y (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (+.f64 (*.f64 x x) -16/841)) (+.f64 x 4/29)))
(/.f64 (.f64 (.f64 y 3) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (.f64 y (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (+.f64 (*.f64 x x) -16/841)) (+.f64 x 4/29)))
(/.f64 (.f64 (.f64 y 3) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (.f64 y (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (+.f64 (*.f64 x x) -16/841)) (+.f64 x 4/29)))
(/.f64 (.f64 (.f64 y 3) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (.f64 y (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
(.f64 3 (/.f64 (.f64 y (-.f64 (pow.f64 x 2) 16/841)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (+.f64 (*.f64 x x) -16/841)) (+.f64 x 4/29)))
(/.f64 (.f64 (.f64 y 3) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(.f64 3 (.f64 (fma.f64 x x -16/841) (/.f64 y (+.f64 x 4/29))))
(.f64 3 (.f64 y (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))
(*.f64 y (/.f64 3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))))
-48/841
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(-.f64 (*.f64 3 (pow.f64 x 2)) 48/841)
(fma.f64 3 (*.f64 x x) -48/841)
(*.f64 3 (fma.f64 x x -16/841))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(*.f64 29/4 y)
(*.f64 y 29/4)
(+.f64 (.f64 29/4 y) (.f64 -841/16 (*.f64 y x)))
(fma.f64 29/4 y (.f64 (.f64 y x) -841/16))
(fma.f64 y 29/4 (.f64 x (.f64 y -841/16)))
(.f64 y (+.f64 29/4 (.f64 x -841/16)))
(*.f64 y (fma.f64 x -841/16 29/4))
(+.f64 (.f64 29/4 y) (+.f64 (.f64 -841/16 (.f64 y x)) (.f64 24389/64 (*.f64 y (pow.f64 x 2)))))
(fma.f64 29/4 y (fma.f64 -841/16 (.f64 y x) (.f64 24389/64 (.f64 y (.f64 x x)))))
(fma.f64 y 29/4 (fma.f64 24389/64 (.f64 y (.f64 x x)) (.f64 x (.f64 y -841/16))))
(fma.f64 y 29/4 (.f64 y (+.f64 (.f64 x -841/16) (.f64 x (.f64 x 24389/64)))))
(.f64 y (+.f64 29/4 (.f64 x (+.f64 -841/16 (*.f64 x 24389/64)))))
(+.f64 (.f64 -707281/256 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 29/4 y) (+.f64 (.f64 -841/16 (.f64 y x)) (.f64 24389/64 (*.f64 y (pow.f64 x 2))))))
(fma.f64 -707281/256 (.f64 y (pow.f64 x 3)) (fma.f64 29/4 y (fma.f64 -841/16 (.f64 y x) (.f64 24389/64 (.f64 y (*.f64 x x))))))
(fma.f64 -707281/256 (.f64 y (pow.f64 x 3)) (fma.f64 y 29/4 (fma.f64 24389/64 (.f64 y (.f64 x x)) (.f64 x (*.f64 y -841/16)))))
(fma.f64 y 29/4 (fma.f64 y (.f64 -707281/256 (pow.f64 x 3)) (.f64 y (+.f64 (.f64 x -841/16) (.f64 x (*.f64 x 24389/64))))))
(.f64 y (+.f64 (fma.f64 x -841/16 29/4) (.f64 (.f64 x x) (+.f64 24389/64 (.f64 x -707281/256)))))
(.f64 y (+.f64 29/4 (.f64 x (+.f64 -841/16 (.f64 x (+.f64 24389/64 (.f64 x -707281/256)))))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 y x) (/.f64 (.f64 -4/29 y) (.f64 x x)))
(fma.f64 -4/29 (/.f64 (/.f64 y x) x) (/.f64 y x))
(*.f64 (+.f64 (/.f64 -4/29 x) 1) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 1 (/.f64 -4/29 x)))
(+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (.f64 -4/29 (/.f64 y (pow.f64 x 2)))))
(fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 y x) (/.f64 (.f64 -4/29 y) (.f64 x x))))
(fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (fma.f64 -4/29 (/.f64 (/.f64 y x) x) (/.f64 y x)))
(+.f64 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 16/841 x) -4/29)))
(fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -4/29 (/.f64 16/841 x)) (/.f64 y x))
(+.f64 (.f64 -64/24389 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -64/24389 (/.f64 y (pow.f64 x 4)) (fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 y x) (/.f64 (.f64 -4/29 y) (.f64 x x)))))
(fma.f64 -64/24389 (/.f64 y (pow.f64 x 4)) (fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (fma.f64 -4/29 (/.f64 (/.f64 y x) x) (/.f64 y x))))
(fma.f64 -64/24389 (/.f64 y (pow.f64 x 4)) (+.f64 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 16/841 x) -4/29))))
(fma.f64 (+.f64 1 (/.f64 -4/29 x)) (/.f64 y x) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 16/841 (/.f64 -64/24389 x))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 y x) (/.f64 (.f64 -4/29 y) (.f64 x x)))
(fma.f64 -4/29 (/.f64 (/.f64 y x) x) (/.f64 y x))
(*.f64 (+.f64 (/.f64 -4/29 x) 1) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 1 (/.f64 -4/29 x)))
(+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (.f64 -4/29 (/.f64 y (pow.f64 x 2)))))
(fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 y x) (/.f64 (.f64 -4/29 y) (.f64 x x))))
(fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (fma.f64 -4/29 (/.f64 (/.f64 y x) x) (/.f64 y x)))
(+.f64 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 16/841 x) -4/29)))
(fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -4/29 (/.f64 16/841 x)) (/.f64 y x))
(+.f64 (.f64 -64/24389 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -64/24389 (/.f64 y (pow.f64 x 4)) (fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 y x) (/.f64 (.f64 -4/29 y) (.f64 x x)))))
(fma.f64 -64/24389 (/.f64 y (pow.f64 x 4)) (fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (fma.f64 -4/29 (/.f64 (/.f64 y x) x) (/.f64 y x))))
(fma.f64 -64/24389 (/.f64 y (pow.f64 x 4)) (+.f64 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 16/841 x) -4/29))))
(fma.f64 (+.f64 1 (/.f64 -4/29 x)) (/.f64 y x) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 16/841 (/.f64 -64/24389 x))))

eval173.0ms (2.7%)

Compiler: Compiled 6677 to 5000 computations (25.1% saved)

prune133.0ms (2.1%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	454	5	459
Fresh	2	0	2
Picked	1	0	1
Done	1	7	8
Total	458	12	470

Error

Counts

470 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
▶	26.9b	(/.f64 (*.f64 y -48/841) 4/29)
✓	26.7b	(*.f64 -12/29 y)
▶	26.9b	(.f64 3 (.f64 y -4/29))
✓	36.3b	(.f64 3 (.f64 y x))
▶	26.7b	(*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)
▶	48.8b	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
✓	36.3b	(.f64 (.f64 3 x) y)
▶	26.7b	(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
✓	36.3b	(.f64 x (.f64 3 y))

Compiler

Compiled 139 to 110 computations (20.9% saved)

localize12.0ms (0.2%)

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 (/.f64 y (+.f64 x 4/29)) -48/841)

Compiler

Compiled 21 to 14 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)
0.0ms	x	@	-inf	(*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)
0.0ms	x	@	inf	(*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)
0.0ms	y	@	inf	(*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)
0.0ms	y	@	-inf	(*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)

rewrite83.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`pow1_binary64`
901×	`add-log-exp_binary64`
901×	`log1p-expm1-u_binary64`
901×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	179	10
2	2338	10

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y (+.f64 x 4/29)) -48/841))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (+.f64 x 4/29) -48/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -48/841 (/.f64 (+.f64 x 4/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -48/841) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y -48/841)) (+.f64 -4/29 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y -48/841) 1) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y -48/841) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (cbrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y -48/841) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) -48/841) (+.f64 -4/29 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -48/841 (neg.f64 y)) (+.f64 -4/29 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (+.f64 x 4/29)) -48/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 x 4/29)) -48/841) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 x 4/29)) 2) 2304/707281))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y (+.f64 x 4/29)) -48/841))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 x 4/29)) -48/841) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)))))))

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

769×	`distribute-lft-out_binary64`
712×	`fma-def_binary64`
666×	`associate-/l*_binary64`
531×	`associate-/l/_binary64`
497×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	363
1	111	363
2	289	336
3	884	313
4	3338	312
5	7639	312

Stop Event

1×	node limit

Counts

46 → 40

Calls

Call 1

Inputs
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -87/4 (.f64 y (pow.f64 x 2))) (*.f64 -12/29 y)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 -87/4 (.f64 y (pow.f64 x 2))) (*.f64 -12/29 y))))
(*.f64 -48/841 (/.f64 y x))
(+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))
(*.f64 -48/841 (/.f64 y x))
(+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))

Outputs
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(*.f64 y (/.f64 -48/841 (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(*.f64 y (/.f64 -48/841 (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(*.f64 y (/.f64 -48/841 (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(*.f64 y (/.f64 -48/841 (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(*.f64 y (/.f64 -48/841 (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(*.f64 y (/.f64 -48/841 (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(*.f64 y (/.f64 -48/841 (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(*.f64 y (/.f64 -48/841 (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(*.f64 y (/.f64 -48/841 (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(*.f64 y (/.f64 -48/841 (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(*.f64 y (/.f64 -48/841 (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 (*.f64 -48/841 y) (+.f64 4/29 x))
(*.f64 y (/.f64 -48/841 (+.f64 4/29 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))
(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (.f64 x 3) -12/29))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -87/4 (.f64 y (pow.f64 x 2))) (*.f64 -12/29 y)))
(fma.f64 3 (.f64 y x) (fma.f64 -87/4 (.f64 y (.f64 x x)) (.f64 y -12/29)))
(fma.f64 3 (.f64 y x) (fma.f64 y -12/29 (.f64 -87/4 (.f64 x (.f64 y x)))))
(fma.f64 y (.f64 x 3) (.f64 y (+.f64 (.f64 -87/4 (.f64 x x)) -12/29)))
(.f64 y (+.f64 -12/29 (.f64 x (+.f64 3 (*.f64 x -87/4)))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 -87/4 (.f64 y (pow.f64 x 2))) (*.f64 -12/29 y))))
(fma.f64 3 (.f64 y x) (fma.f64 2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 -87/4 (.f64 y (.f64 x x)) (*.f64 y -12/29))))
(fma.f64 3 (.f64 y x) (fma.f64 2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 y -12/29 (.f64 -87/4 (.f64 x (*.f64 y x))))))
(fma.f64 y (.f64 2523/16 (pow.f64 x 3)) (fma.f64 y (.f64 x 3) (.f64 y (+.f64 (.f64 -87/4 (*.f64 x x)) -12/29))))
(.f64 y (+.f64 (fma.f64 x 3 -12/29) (.f64 (.f64 x x) (+.f64 -87/4 (.f64 x 2523/16)))))
(.f64 y (+.f64 -12/29 (.f64 x (+.f64 3 (.f64 x (+.f64 -87/4 (.f64 x 2523/16)))))))
(*.f64 -48/841 (/.f64 y x))
(/.f64 (*.f64 -48/841 y) x)
(+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))
(fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x))))
(fma.f64 192/24389 (/.f64 y (.f64 x x)) (.f64 -48/841 (/.f64 y x)))
(*.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 192/24389 (/.f64 y (.f64 x x)) (.f64 -48/841 (/.f64 y x))))
(fma.f64 -48/841 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 -768/707281 x) 192/24389)))
(.f64 (/.f64 y x) (+.f64 -48/841 (+.f64 (/.f64 192/24389 x) (/.f64 -768/707281 (.f64 x x)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 192/24389 (/.f64 y (.f64 x x)) (.f64 -48/841 (/.f64 y x)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)))))
(fma.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -768/707281 (/.f64 3072/20511149 x))))
(fma.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)) (/.f64 (*.f64 y (+.f64 -768/707281 (/.f64 3072/20511149 x))) (pow.f64 x 3)))
(*.f64 -48/841 (/.f64 y x))
(/.f64 (*.f64 -48/841 y) x)
(+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))
(fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x))))
(fma.f64 192/24389 (/.f64 y (.f64 x x)) (.f64 -48/841 (/.f64 y x)))
(*.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 192/24389 (/.f64 y (.f64 x x)) (.f64 -48/841 (/.f64 y x))))
(fma.f64 -48/841 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 -768/707281 x) 192/24389)))
(.f64 (/.f64 y x) (+.f64 -48/841 (+.f64 (/.f64 192/24389 x) (/.f64 -768/707281 (.f64 x x)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 192/24389 (/.f64 y (.f64 x x)) (.f64 -48/841 (/.f64 y x)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)))))
(fma.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -768/707281 (/.f64 3072/20511149 x))))
(fma.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)) (/.f64 (*.f64 y (+.f64 -768/707281 (/.f64 3072/20511149 x))) (pow.f64 x 3)))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y -4/29)
✓	0.4b	(.f64 3 (.f64 y -4/29))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`pow1_binary64`
519×	`add-sqr-sqrt_binary64`
493×	`add-log-exp_binary64`
493×	`log1p-expm1-u_binary64`
493×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	123	8
2	1341	8

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	96
1	8	96

Stop Event

1×

saturated

Counts

46 → 25

Calls

Call 1

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

Outputs
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -12/29 y)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)
(*.f64 -4/29 y)
(*.f64 y -4/29)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 y -48/841)
✓	0.3b	(/.f64 (*.f64 y -48/841) 4/29)

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 (*.f64 y -48/841) 4/29)
0.0ms	y	@	inf	(/.f64 (*.f64 y -48/841) 4/29)
0.0ms	y	@	-inf	(/.f64 (*.f64 y -48/841) 4/29)

rewrite72.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`pow1_binary64`
559×	`add-log-exp_binary64`
559×	`log1p-expm1-u_binary64`
559×	`expm1-log1p-u_binary64`
551×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	132	4
2	1522	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(/.f64 (*.f64 y -48/841) 4/29)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (*.f64 y 29/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -48/841) 29/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y -12/29)) (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2) (cbrt.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2) (*.f64 (cbrt.f64 (*.f64 y -48/841)) 29/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y -12/29)) (sqrt.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y -48/841)) (*.f64 (sqrt.f64 (*.f64 y -48/841)) 29/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 48/841) -29/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 29/4 (*.f64 y -48/841))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -29/12 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y -48/841) -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 y y) 841/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -12/29)))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

37 → 26

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 4/29 x)
✓	0.1b	(/.f64 (+.f64 4/29 x) y)
✓	0.6b	(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series5.0ms (0.1%)

Counts

3 → 39

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 (+.f64 4/29 x) y)
0.0ms	y	@	-inf	(/.f64 (+.f64 4/29 x) y)
0.0ms	x	@	0	(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
0.0ms	x	@	0	(/.f64 (+.f64 4/29 x) y)
0.0ms	x	@	-inf	(/.f64 (+.f64 4/29 x) y)

rewrite82.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`unpow-prod-down_binary64`
424×	`log-prod_binary64`
333×	`exp-prod_binary64`
239×	`pow2_binary64`
224×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	186	21
2	2512	21

Stop Event

1×	node limit

Counts

3 → 186

Calls

Call 1

Inputs
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(/.f64 (+.f64 4/29 x) y)
(+.f64 4/29 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 4/29 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 4/29 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 4/29 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 4/29 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 -48/841 (+.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))) (cbrt.f64 (*.f64 2304/707281 (pow.f64 (/.f64 (+.f64 4/29 x) y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2304/707281 (pow.f64 (/.f64 (+.f64 4/29 x) y) -2))) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))) (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 48/841 (/.f64 1 (/.f64 (+.f64 (neg.f64 x) -4/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 48/841 (pow.f64 (/.f64 1 (/.f64 (+.f64 (neg.f64 x) -4/29) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 4/29 x)) -48/841)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -48/841 (+.f64 4/29 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -48/841 (+.f64 (neg.f64 x) -4/29)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -48/841 (+.f64 4/29 x)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -48/841 (+.f64 4/29 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -48/841 (+.f64 4/29 x)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -48/841 (+.f64 (neg.f64 x) -4/29)) 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 -48/841 (+.f64 4/29 x)) 1) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 4/29 x)) 3))) 1/3) (pow.f64 (sqrt.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 4/29 x)) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 2304/707281 (pow.f64 (/.f64 (+.f64 4/29 x) y) -2)) -48/841) 1/3) (cbrt.f64 (/.f64 y (+.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 2304/707281 (pow.f64 (/.f64 (+.f64 4/29 x) y) -2)) (/.f64 -48/841 (+.f64 4/29 x))) 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -48/841) 3) (/.f64 y (+.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 2) 3) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -48/841) 2) (/.f64 y (+.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 4/29 x) y) -841/48)) 2) -1) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2304/707281 (pow.f64 (/.f64 (+.f64 4/29 x) y) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 4/29 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 4/29 x) y) -841/48) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 4/29 x) y) -841/48) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))) (sqrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2304/707281 (pow.f64 (/.f64 (+.f64 4/29 x) y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 4/29 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 4/29 x) y) -841/48)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))) 1) 1))))))

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

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

simplify89.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

769×	`distribute-lft-out_binary64`
714×	`fma-def_binary64`
672×	`associate-/l*_binary64`
535×	`associate-/l/_binary64`
494×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	468
1	122	468
2	299	441
3	893	418
4	3384	417
5	7693	417

Stop Event

1×	node limit

Counts

225 → 208

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 -87/4 (.f64 y (pow.f64 x 2))) (*.f64 -12/29 y)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 -87/4 (.f64 y (pow.f64 x 2))) (*.f64 -12/29 y))))
(*.f64 -48/841 (/.f64 y x))
(+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))
(*.f64 -48/841 (/.f64 y x))
(+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 4/29 y)
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x 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))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 (.f64 3 x) -12/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -87/4 (.f64 y (pow.f64 x 2))) (*.f64 -12/29 y)))
(fma.f64 3 (.f64 y x) (fma.f64 -87/4 (.f64 y (.f64 x x)) (.f64 -12/29 y)))
(fma.f64 3 (.f64 y x) (fma.f64 -12/29 y (.f64 (.f64 x x) (.f64 y -87/4))))
(fma.f64 (.f64 -87/4 (.f64 y x)) x (.f64 y (+.f64 (.f64 3 x) -12/29)))
(.f64 y (+.f64 (.f64 x (+.f64 (*.f64 x -87/4) 3)) -12/29))
(.f64 y (+.f64 -12/29 (.f64 x (+.f64 3 (*.f64 x -87/4)))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 -87/4 (.f64 y (pow.f64 x 2))) (*.f64 -12/29 y))))
(fma.f64 3 (.f64 y x) (fma.f64 2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 -87/4 (.f64 y (.f64 x x)) (*.f64 -12/29 y))))
(fma.f64 3 (.f64 y x) (fma.f64 2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 -12/29 y (.f64 (.f64 x x) (*.f64 y -87/4)))))
(fma.f64 y (.f64 2523/16 (pow.f64 x 3)) (fma.f64 (.f64 -87/4 (.f64 y x)) x (.f64 y (+.f64 (*.f64 3 x) -12/29))))
(.f64 y (+.f64 (fma.f64 3 x -12/29) (.f64 (.f64 x x) (+.f64 -87/4 (.f64 x 2523/16)))))
(.f64 y (+.f64 -12/29 (.f64 x (+.f64 3 (.f64 x (+.f64 -87/4 (.f64 x 2523/16)))))))
(*.f64 -48/841 (/.f64 y x))
(*.f64 y (/.f64 -48/841 x))
(+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))
(fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x))))
(fma.f64 -48/841 (/.f64 y x) (*.f64 (/.f64 192/24389 x) (/.f64 y x)))
(*.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (*.f64 (/.f64 192/24389 x) (/.f64 y x))))
(fma.f64 -48/841 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 -768/707281 x) 192/24389)))
(.f64 (/.f64 y x) (+.f64 -48/841 (+.f64 (/.f64 192/24389 x) (/.f64 -768/707281 (.f64 x x)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (*.f64 (/.f64 192/24389 x) (/.f64 y x)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)))))
(fma.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -768/707281 (/.f64 3072/20511149 x))))
(*.f64 -48/841 (/.f64 y x))
(*.f64 y (/.f64 -48/841 x))
(+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))
(fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x))))
(fma.f64 -48/841 (/.f64 y x) (*.f64 (/.f64 192/24389 x) (/.f64 y x)))
(*.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (*.f64 (/.f64 192/24389 x) (/.f64 y x))))
(fma.f64 -48/841 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 -768/707281 x) 192/24389)))
(.f64 (/.f64 y x) (+.f64 -48/841 (+.f64 (/.f64 192/24389 x) (/.f64 -768/707281 (.f64 x x)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (*.f64 (/.f64 192/24389 x) (/.f64 y x)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)))))
(fma.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -768/707281 (/.f64 3072/20511149 x))))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(/.f64 4/29 y)
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
4/29
x
x

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 3 y))
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
✓	7.6b	(sqrt.f64 (.f64 x (.f64 3 y)))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series13.0ms (0.2%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(sqrt.f64 (.f64 x (.f64 3 y)))
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
1.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`pow1_binary64`
646×	`add-log-exp_binary64`
645×	`log1p-expm1-u_binary64`
645×	`expm1-log1p-u_binary64`
632×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	187	16
2	1840	16

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(sqrt.f64 (.f64 x (.f64 3 y)))
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)

Outputs

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

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

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

61 → 61

Calls

Call 1

Inputs

Outputs

eval465.0ms (7.2%)

Compiler: Compiled 5934 to 4493 computations (24.3% saved)

prune493.0ms (7.6%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	496	3	499
Fresh	0	0	0
Picked	1	0	1
Done	3	8	11
Total	500	11	511

Error

Counts

511 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	26.7b	(*.f64 -12/29 y)
✓	26.9b	(.f64 3 (.f64 y -4/29))
✓	36.3b	(.f64 3 (.f64 y x))
✓	36.3b	(.f64 (.f64 3 x) y)
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
	26.9b	(*.f64 (/.f64 y 4/29) -48/841)
✓	36.3b	(.f64 x (.f64 3 y))
	0.4b	(.f64 (+.f64 (.f64 29/4 y) (.f64 -841/16 (.f64 y x))) -48/841)
	26.9b	(/.f64 -48/841 (/.f64 4/29 y))

Compiler

Compiled 89 to 70 computations (21.3% saved)

regimes114.0ms (1.8%)

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(*.f64 (/.f64 y 4/29) -48/841)
(/.f64 -48/841 (/.f64 4/29 y))
(/.f64 (*.f64 y -48/841) 4/29)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 (.f64 3 x) y)
(*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(.f64 (+.f64 (.f64 29/4 y) (.f64 -841/16 (.f64 y x))) -48/841)
(*.f64 (fma.f64 x 3 -12/29) y)
(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) 1) (/.f64 y (+.f64 x 4/29)))
(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
(pow.f64 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 2)
(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3) y)

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

Calls

5 calls:

24.0ms	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
24.0ms	x
24.0ms	y
15.0ms	(-.f64 x (/.f64 16 116))
14.0ms	(*.f64 (-.f64 x (/.f64 16 116)) 3)

Results

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

Compiler

Compiled 214 to 156 computations (27.1% saved)

regimes48.0ms (0.7%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(*.f64 (/.f64 y 4/29) -48/841)
(/.f64 -48/841 (/.f64 4/29 y))
(/.f64 (*.f64 y -48/841) 4/29)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 (.f64 3 x) y)
(*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (-.f64 (.f64 3 x) 12/29) y)

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

Calls

2 calls:

24.0ms	x
18.0ms	y

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`

Compiler

Compiled 86 to 60 computations (30.2% saved)

regimes40.0ms (0.6%)

Counts

13 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(*.f64 (/.f64 y 4/29) -48/841)
(/.f64 -48/841 (/.f64 4/29 y))
(/.f64 (*.f64 y -48/841) 4/29)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 (.f64 3 x) y)
(*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))

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

Calls

2 calls:

17.0ms	y
16.0ms	x

Results

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

Compiler

Compiled 79 to 55 computations (30.4% saved)

regimes229.0ms (3.5%)

Counts

12 → 3

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(*.f64 (/.f64 y 4/29) -48/841)
(/.f64 -48/841 (/.f64 4/29 y))
(/.f64 (*.f64 y -48/841) 4/29)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 (.f64 3 x) y)
(*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))

Outputs
(.f64 x (.f64 3 y))
(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
(.f64 (.f64 3 x) y)

Calls

2 calls:

179.0ms	y
43.0ms	x

Results

Error	Segments	Branch
1.2b	3	`x`
18.1b	9	`y`

Compiler

Compiled 72 to 50 computations (30.6% saved)

bsearch75.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	0.002650899757961988	6543281.378970792
38.0ms	-499701390.0673341	-0.03514066485864122

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes107.0ms (1.6%)

Counts

11 → 3

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(*.f64 (/.f64 y 4/29) -48/841)
(/.f64 -48/841 (/.f64 4/29 y))
(/.f64 (*.f64 y -48/841) 4/29)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 (.f64 3 x) y)
(*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))

Outputs
(.f64 x (.f64 3 y))
(*.f64 (/.f64 y (+.f64 x 4/29)) -48/841)
(.f64 (.f64 3 x) y)

Calls

2 calls:

80.0ms	y
22.0ms	x

Results

Error	Segments	Branch
1.2b	3	`x`
18.1b	9	`y`

Compiler

Compiled 65 to 45 computations (30.8% saved)

bsearch38.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.002650899757961988	6543281.378970792
19.0ms	-499701390.0673341	-0.03514066485864122

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes139.0ms (2.1%)

Counts

9 → 3

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(*.f64 (/.f64 y 4/29) -48/841)
(/.f64 -48/841 (/.f64 4/29 y))
(/.f64 (*.f64 y -48/841) 4/29)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 (.f64 3 x) y)

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

Calls

2 calls:

102.0ms	y
34.0ms	x

Results

Error	Segments	Branch
1.6b	3	`x`
18.2b	9	`y`

Compiler

Compiled 51 to 35 computations (31.4% saved)

bsearch57.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.002650899757961988	6543281.378970792
29.0ms	-499701390.0673341	-0.03514066485864122

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes114.0ms (1.8%)

Counts

8 → 3

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(*.f64 (/.f64 y 4/29) -48/841)
(/.f64 -48/841 (/.f64 4/29 y))
(/.f64 (*.f64 y -48/841) 4/29)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))

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

Calls

2 calls:

84.0ms	y
26.0ms	x

Results

Error	Segments	Branch
1.6b	3	`x`
18.3b	9	`y`

Compiler

Compiled 46 to 32 computations (30.4% saved)

bsearch58.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	0.002650899757961988	6543281.378970792
30.0ms	-499701390.0673341	-0.03514066485864122

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes139.0ms (2.1%)

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(*.f64 (/.f64 y 4/29) -48/841)
(/.f64 -48/841 (/.f64 4/29 y))
(/.f64 (*.f64 y -48/841) 4/29)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))

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

Calls

2 calls:

97.0ms	y
39.0ms	x

Results

Error	Segments	Branch
1.6b	3	`x`
18.3b	9	`y`

Compiler

Compiled 36 to 27 computations (25% saved)

bsearch94.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
66.0ms	0.002650899757961988	6543281.378970792
28.0ms	-499701390.0673341	-0.03514066485864122

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes18.0ms (0.3%)

Accuracy

Total -0.4b remaining (-1.4%)

Threshold costs -0.4b (-1.4%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(*.f64 (/.f64 y 4/29) -48/841)
(/.f64 -48/841 (/.f64 4/29 y))
(/.f64 (*.f64 y -48/841) 4/29)
(.f64 3 (.f64 y -4/29))

Outputs
(*.f64 -12/29 y)

Calls

2 calls:

8.0ms	x
8.0ms	y

Results

Error	Segments	Branch
26.7b	1	`x`
26.7b	1	`y`

Compiler

Compiled 31 to 24 computations (22.6% saved)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
3×	`+-commutative_binary64`
2×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	196
1	65	196
2	67	196

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 3 (.f64 y (-.f64 x 4/29)))
(if (<=.f64 x -8383598156659919/16777216) (.f64 x (.f64 3 y)) (if (<=.f64 x 6112558675022923/2305843009213693952) (/.f64 (.f64 y -48/841) (+.f64 x 4/29)) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -8383598156659919/16777216) (.f64 x (.f64 3 y)) (if (<=.f64 x 6112558675022923/2305843009213693952) (.f64 (/.f64 y (+.f64 x 4/29)) -48/841) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -8383598156659919/16777216) (.f64 x (.f64 3 y)) (if (<=.f64 x 6112558675022923/2305843009213693952) (.f64 -12/29 y) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -8383598156659919/16777216) (.f64 x (.f64 3 y)) (if (<=.f64 x 6112558675022923/2305843009213693952) (.f64 -12/29 y) (.f64 x (*.f64 3 y))))
(if (<=.f64 x -8383598156659919/16777216) (.f64 3 (.f64 y x)) (if (<=.f64 x 6112558675022923/2305843009213693952) (.f64 -12/29 y) (.f64 3 (*.f64 y x))))
(*.f64 -12/29 y)

Outputs
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(.f64 (.f64 (+.f64 x -4/29) 3) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 y (+.f64 (.f64 x 3) -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 (+.f64 x -4/29) y))
(if (<=.f64 x -8383598156659919/16777216) (.f64 x (.f64 3 y)) (if (<=.f64 x 6112558675022923/2305843009213693952) (/.f64 (.f64 y -48/841) (+.f64 x 4/29)) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -8383598156659919/16777216) (.f64 x (.f64 3 y)) (if (<=.f64 x 6112558675022923/2305843009213693952) (/.f64 (.f64 y -48/841) (+.f64 x 4/29)) (.f64 y (*.f64 x 3))))
(if (<=.f64 x -8383598156659919/16777216) (.f64 x (.f64 3 y)) (if (<=.f64 x 6112558675022923/2305843009213693952) (.f64 (/.f64 y (+.f64 x 4/29)) -48/841) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -8383598156659919/16777216) (.f64 x (.f64 3 y)) (if (<=.f64 x 6112558675022923/2305843009213693952) (.f64 -48/841 (/.f64 y (+.f64 x 4/29))) (.f64 y (*.f64 x 3))))
(if (<=.f64 x -8383598156659919/16777216) (.f64 x (.f64 3 y)) (if (<=.f64 x 6112558675022923/2305843009213693952) (.f64 -12/29 y) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -8383598156659919/16777216) (.f64 x (.f64 3 y)) (if (<=.f64 x 6112558675022923/2305843009213693952) (.f64 y -12/29) (.f64 y (*.f64 x 3))))
(if (<=.f64 x -8383598156659919/16777216) (.f64 x (.f64 3 y)) (if (<=.f64 x 6112558675022923/2305843009213693952) (.f64 -12/29 y) (.f64 x (*.f64 3 y))))
(if (<=.f64 x -8383598156659919/16777216) (.f64 x (.f64 3 y)) (if (<=.f64 x 6112558675022923/2305843009213693952) (.f64 y -12/29) (.f64 x (*.f64 3 y))))
(if (<=.f64 x -8383598156659919/16777216) (.f64 3 (.f64 y x)) (if (<=.f64 x 6112558675022923/2305843009213693952) (.f64 -12/29 y) (.f64 3 (*.f64 y x))))
(if (<=.f64 x -8383598156659919/16777216) (.f64 3 (.f64 x y)) (if (<=.f64 x 6112558675022923/2305843009213693952) (.f64 y -12/29) (.f64 3 (*.f64 x y))))
(*.f64 -12/29 y)
(*.f64 y -12/29)

Compiler

Compiled 155 to 110 computations (29% saved)

soundness0.0ms (0%)

end152.0ms (2.3%)

Compiler: Compiled 139 to 94 computations (32.4% saved)