Details

analyze81.0ms (1.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	43.7%	6.3%	7
59.3%	34.3%	6.3%	8
67.1%	23.4%	9.5%	9
72.6%	18%	9.5%	10
76.9%	12.1%	11%	11
79.8%	9.2%	11%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.2s (21.5%)

Results

1.1s	8256×	body	256	valid
19.0ms	151×	body	256	invalid

preprocess20.0ms (0.4%)

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)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
▶	0.1b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 25 computations (19.4% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite67.0ms (1.2%)

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)))))

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	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)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

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

rewrite58.0ms (1%)

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)))))))

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

70 → 44

Calls

Call 1

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

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

eval33.0ms (0.6%)

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

prune26.0ms (0.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	109	10	119
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	111	10	121

Error

Counts

121 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	14.0b	(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) -64/24389) 3) (fma.f64 x x (fma.f64 x 4/29 16/841))) y)
	35.7b	(.f64 3 (.f64 y x))
▶	0.1b	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
	30.8b	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
▶	35.7b	(.f64 (.f64 3 x) y)
▶	26.7b	(*.f64 -12/29 y)
▶	0.1b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
▶	27.4b	(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
	12.7b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))

Compiler

Compiled 204 to 154 computations (24.5% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

series9.0ms (0.2%)

Counts

3 → 48

Calls

15 calls:

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

rewrite72.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	195	19
2	2527	19

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

189 → 149

Calls

Call 1

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

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

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize13.0ms (0.2%)

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)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (0.8%)

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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

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)

rewrite119.0ms (2.1%)

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)))))

simplify11.0ms (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)

localize45.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (fma.f64 x 3 -12/29))
	0.0b	(fma.f64 x 3 -12/29)
✓	0.1b	(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
✓	0.6b	(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))

Compiler

Compiled 29 to 22 computations (24.1% saved)

series4.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(expm1.f64 (fma.f64 x 3 -12/29))
0.0ms	x	@	0	(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))
0.0ms	x	@	-inf	(expm1.f64 (fma.f64 x 3 -12/29))
0.0ms	x	@	inf	(expm1.f64 (fma.f64 x 3 -12/29))
0.0ms	x	@	-inf	(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))

rewrite62.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`pow1_binary64`
659×	`expm1-log1p-u_binary64`
658×	`add-log-exp_binary64`
658×	`log1p-expm1-u_binary64`
646×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	163	20
2	1761	20

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))
(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
(expm1.f64 (fma.f64 x 3 -12/29))

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 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 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 (*.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)))))))

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

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

850×	`cancel-sign-sub-inv_binary64`
819×	`fma-def_binary64`
606×	`distribute-rgt-neg-in_binary64`
494×	`distribute-lft-neg-in_binary64`
402×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	442
1	106	369
2	250	364
3	742	355
4	2526	352
5	4489	352

Stop Event

1×	node limit

Counts

102 → 73

Calls

Call 1

Inputs
-12/29
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(*.f64 -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)
(-.f64 (exp.f64 -12/29) 1)
(-.f64 (+.f64 (.f64 3 (.f64 (exp.f64 -12/29) x)) (exp.f64 -12/29)) 1)
(-.f64 (+.f64 (.f64 3 (.f64 (exp.f64 -12/29) x)) (+.f64 (.f64 9/2 (.f64 (exp.f64 -12/29) (pow.f64 x 2))) (exp.f64 -12/29))) 1)
(-.f64 (+.f64 (.f64 3 (.f64 (exp.f64 -12/29) x)) (+.f64 (.f64 9/2 (.f64 (exp.f64 -12/29) (pow.f64 x 3))) (+.f64 (.f64 9/2 (.f64 (exp.f64 -12/29) (pow.f64 x 2))) (exp.f64 -12/29)))) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)

Outputs
-12/29
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 x y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 x y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(-.f64 (exp.f64 -12/29) 1)
(expm1.f64 -12/29)
(-.f64 (+.f64 (.f64 3 (.f64 (exp.f64 -12/29) x)) (exp.f64 -12/29)) 1)
(+.f64 (.f64 (.f64 3 (exp.f64 -12/29)) x) (expm1.f64 -12/29))
(fma.f64 3 (*.f64 x (exp.f64 -12/29)) (expm1.f64 -12/29))
(fma.f64 (*.f64 3 x) (exp.f64 -12/29) (expm1.f64 -12/29))
(fma.f64 (fma.f64 3 x 1) (exp.f64 -12/29) -1)
(fma.f64 (exp.f64 -12/29) (fma.f64 3 x 1) -1)
(-.f64 (+.f64 (.f64 3 (.f64 (exp.f64 -12/29) x)) (+.f64 (.f64 9/2 (.f64 (exp.f64 -12/29) (pow.f64 x 2))) (exp.f64 -12/29))) 1)
(+.f64 (fma.f64 3 (.f64 x (exp.f64 -12/29)) (fma.f64 9/2 (.f64 (exp.f64 -12/29) (*.f64 x x)) (exp.f64 -12/29))) -1)
(+.f64 (fma.f64 3 (.f64 x (exp.f64 -12/29)) (.f64 (exp.f64 -12/29) (.f64 (.f64 x x) 9/2))) (expm1.f64 -12/29))
(+.f64 (expm1.f64 -12/29) (.f64 (exp.f64 -12/29) (+.f64 (.f64 3 x) (.f64 x (.f64 x 9/2)))))
(fma.f64 (exp.f64 -12/29) (.f64 x (+.f64 (.f64 x 9/2) 3)) (expm1.f64 -12/29))
(fma.f64 (exp.f64 -12/29) (.f64 x (+.f64 3 (.f64 x 9/2))) (expm1.f64 -12/29))
(fma.f64 x (.f64 (exp.f64 -12/29) (+.f64 3 (.f64 x 9/2))) (expm1.f64 -12/29))
(-.f64 (+.f64 (.f64 3 (.f64 (exp.f64 -12/29) x)) (+.f64 (.f64 9/2 (.f64 (exp.f64 -12/29) (pow.f64 x 3))) (+.f64 (.f64 9/2 (.f64 (exp.f64 -12/29) (pow.f64 x 2))) (exp.f64 -12/29)))) 1)
(+.f64 (fma.f64 3 (.f64 x (exp.f64 -12/29)) (fma.f64 9/2 (.f64 (exp.f64 -12/29) (pow.f64 x 3)) (fma.f64 9/2 (.f64 (exp.f64 -12/29) (.f64 x x)) (exp.f64 -12/29)))) -1)
(fma.f64 3 (.f64 x (exp.f64 -12/29)) (+.f64 (.f64 (.f64 (exp.f64 -12/29) 9/2) (+.f64 (pow.f64 x 3) (.f64 x x))) (expm1.f64 -12/29)))
(fma.f64 3 (.f64 x (exp.f64 -12/29)) (fma.f64 9/2 (.f64 (exp.f64 -12/29) (+.f64 (*.f64 x x) (pow.f64 x 3))) (expm1.f64 -12/29)))
(fma.f64 (exp.f64 -12/29) (.f64 9/2 (.f64 x (fma.f64 x x x))) (fma.f64 (fma.f64 3 x 1) (exp.f64 -12/29) -1))
(+.f64 (expm1.f64 -12/29) (.f64 x (.f64 (exp.f64 -12/29) (+.f64 (*.f64 9/2 (fma.f64 x x x)) 3))))
(+.f64 (expm1.f64 -12/29) (.f64 (exp.f64 -12/29) (.f64 x (+.f64 3 (*.f64 9/2 (fma.f64 x x x))))))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))

eval103.0ms (1.8%)

Compiler: Compiled 4055 to 3022 computations (25.5% saved)

prune112.0ms (2%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	336	6	342
Fresh	3	2	5
Picked	1	0	1
Done	0	4	4
Total	340	12	352

Error

Counts

352 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.7b	(.f64 3 (.f64 y x))
✓	0.1b	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
	9.7b	(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)) y)
	12.7b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
▶	53.1b	(sqrt.f64 (.f64 (.f64 y y) 144/841))
▶	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
	10.1b	(.f64 (/.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (*.f64 x x)) -144/841))) y)
✓	35.7b	(.f64 (.f64 3 x) y)
✓	26.7b	(*.f64 -12/29 y)
▶	12.6b	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
✓	0.1b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
▶	48.2b	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x y))) 2)

Compiler

Compiled 230 to 174 computations (24.3% saved)

localize8.0ms (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)

series46.0ms (0.8%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
42.0ms	y	@	0	(.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	x	@	0	(.f64 3 (.f64 y (-.f64 x 4/29)))
0.0ms	y	@	inf	(.f64 3 (.f64 y (-.f64 x 4/29)))

rewrite66.0ms (1.2%)

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))))))))

simplify48.0ms (0.9%)

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
✓	0.2b	(.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))

rewrite51.0ms (0.9%)

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))))))))

simplify8.0ms (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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 y y) 144/841)
✓	28.7b	(sqrt.f64 (.f64 (.f64 y y) 144/841))

Compiler

Compiled 18 to 9 computations (50% saved)

series45.0ms (0.8%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	y	@	inf	(.f64 (.f64 y y) 144/841)
1.0ms	y	@	0	(.f64 (.f64 y y) 144/841)
1.0ms	y	@	0	(sqrt.f64 (.f64 (.f64 y y) 144/841))
0.0ms	y	@	-inf	(.f64 (.f64 y y) 144/841)
0.0ms	y	@	inf	(sqrt.f64 (.f64 (.f64 y y) 144/841))

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`pow1_binary64`
493×	`add-sqr-sqrt_binary64`
476×	`add-log-exp_binary64`
476×	`log1p-expm1-u_binary64`
476×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	124	11
2	1397	11

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 y y) 144/841))
(.f64 (.f64 y y) 144/841)

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 y (pow.f64 144/841 1/2))))) (#(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 (sqrt.f64 (*.f64 y 12/29)) (sqrt.f64 (*.f64 y 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y 144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (pow.f64 (*.f64 y 144/841) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 12/29 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 20736/707281))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 12/29)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 144/841 1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 y 12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 20736/707281)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 12/29)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) 144/841) 1/2)))) (#(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 fabs.f64 (*.f64 y 12/29))))) (#(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 (*.f64 y y) 144/841)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) 144/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 12/29) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 4) 20736/707281) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 y y) 144/841) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 12/29)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) 20736/707281))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y 144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 y y) 144/841) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 y y) 144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 y y) 144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 y y) 144/841)))))))

simplify202.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1101×	`sqr-pow_binary64`
582×	`associate-l_binary64`
565×	`cube-prod_binary64`
557×	`fabs-mul_binary64`
528×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	132
1	18	132
2	29	132
3	58	132
4	138	132
5	442	132
6	1604	132
7	2497	132
8	2661	132
9	2874	132
10	3094	132
11	3397	132
12	3799	132
13	4292	132
14	4860	132
15	5550	132
16	6383	132
17	6773	132
18	7057	132
19	7333	132
20	7409	132
21	7443	132

Stop Event

1×	node limit

Counts

62 → 42

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 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))

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 y -12/29)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))

localize36.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 3 x 12/29)
✓	0.2b	(.f64 9 (.f64 x x))
✓	3.6b	(.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y)
✓	8.2b	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))

Compiler

Compiled 50 to 30 computations (40% saved)

series23.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
3.0ms	y	@	0	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
2.0ms	x	@	0	(.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y)
2.0ms	x	@	0	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
1.0ms	x	@	inf	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))

rewrite116.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

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

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

simplify122.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

198 → 146

Calls

Call 1

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

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

localize23.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x y))) 2)
✓	0.2b	(.f64 3 (.f64 x y))
✓	10.0b	(sqrt.f64 (.f64 3 (.f64 x y)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series28.0ms (0.5%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x y))) 2)
3.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x y))) 2)
3.0ms	x	@	inf	(sqrt.f64 (.f64 3 (.f64 x y)))
3.0ms	y	@	inf	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x y))) 2)
2.0ms	x	@	0	(sqrt.f64 (.f64 3 (.f64 x y)))

rewrite109.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`pow1_binary64`
647×	`add-log-exp_binary64`
646×	`log1p-expm1-u_binary64`
646×	`expm1-log1p-u_binary64`
633×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	187	23
2	1842	23

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

Outputs

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

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

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

simplify20.0ms (0.3%)

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

92 → 62

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))

eval162.0ms (2.9%)

Compiler: Compiled 4102 to 2837 computations (30.8% saved)

prune50.0ms (0.9%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	300	5	305
Fresh	2	1	3
Picked	0	1	1
Done	2	6	8
Total	304	13	317

Error

Counts

317 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.7b	(.f64 3 (.f64 y x))
✓	0.1b	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
▶	48.5b	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))
▶	26.8b	(.f64 3 (.f64 y -4/29))
▶	27.4b	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) 12/29)
	10.1b	(.f64 (/.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (*.f64 x x)) -144/841))) y)
▶	62.0b	(*.f64 y 12/29)
✓	35.7b	(.f64 (.f64 3 x) y)
✓	26.7b	(*.f64 -12/29 y)
▶	0.3b	(+.f64 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))
✓	0.1b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	48.2b	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x y))) 2)
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))

Compiler

Compiled 200 to 154 computations (23% saved)

localize38.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 21 computations (30% saved)

series4.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite84.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`log-prod_binary64`
454×	`fma-def_binary64`
363×	`exp-prod_binary64`
352×	`prod-exp_binary64`
313×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	197	21
2	2611	21

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	402
1	44	402
2	112	402
3	208	402
4	265	402
5	401	402
6	650	402
7	891	402
8	988	402
9	994	402

Stop Event

1×

saturated

Counts

205 → 152

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

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

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite83.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 y 12/29)

Outputs

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

simplify9.0ms (0.2%)

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)

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))

rewrite57.0ms (1%)

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)))))))

simplify19.0ms (0.3%)

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)

localize73.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 9 (.f64 x x)) -144/841)
	0.2b	(.f64 9 (.f64 x x))
✓	0.2b	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) 12/29)
	3.6b	(.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y)

Compiler

Compiled 42 to 24 computations (42.9% saved)

series7.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite132.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`log-prod_binary64`
323×	`pow-prod-down_binary64`
294×	`pow2_binary64`
219×	`prod-diff_binary64`
206×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	245	22
2	2991	22

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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

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

simplify240.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

754×	`sqr-pow_binary64`
651×	`fabs-mul_binary64`
622×	`associate-r_binary64`
620×	`cube-prod_binary64`
614×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	405
1	39	405
2	88	384
3	231	342
4	643	342
5	1606	342
6	2190	342
7	2637	342
8	2750	342
9	2900	342
10	3081	342
11	3334	342
12	3663	342
13	4033	342
14	4487	342
15	5080	342
16	5790	342
17	6648	342
18	7070	342
19	7382	342
20	7694	342
21	7774	342
22	7810	342

Stop Event

1×	node limit

Counts

125 → 100

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(.f64 87/4 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(.f64 87/4 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
-144/841
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(*.f64 9 (pow.f64 x 2))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(*.f64 9 (pow.f64 x 2))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)

Outputs
(*.f64 -12/29 y)
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(.f64 87/4 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 87/4 y) (*.f64 x x))
(.f64 y (.f64 (*.f64 x x) 87/4))
(.f64 y (.f64 87/4 (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 87/4 x))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(.f64 87/4 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 87/4 y) (*.f64 x x))
(.f64 y (.f64 (*.f64 x x) 87/4))
(.f64 y (.f64 87/4 (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 87/4 x))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(+.f64 (.f64 -12/29 y) (.f64 87/4 (*.f64 y (pow.f64 x 2))))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
(.f64 29/12 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)))
(fma.f64 -12/29 y (.f64 (.f64 87/4 y) (*.f64 x x)))
(fma.f64 -12/29 y (.f64 y (.f64 (*.f64 x x) 87/4)))
(.f64 y (+.f64 -12/29 (.f64 87/4 (*.f64 x x))))
(.f64 y (fma.f64 87/4 (.f64 x x) -12/29))
-144/841
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 (*.f64 x x) 9 -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 (*.f64 x x) 9 -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 (*.f64 x x) 9 -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 (*.f64 x x) 9 -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 (*.f64 x x) 9 -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 (*.f64 x x) 9 -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 (*.f64 x x) 9 -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 (*.f64 x x) 9 -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 (*.f64 x x) 9 -144/841)
(fma.f64 x (*.f64 x 9) -144/841)

localize40.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 9 (.f64 x x)) -144/841)
	0.2b	(.f64 9 (.f64 x x))
	3.6b	(.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y)
✓	8.2b	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))

Compiler

Compiled 47 to 27 computations (42.6% saved)

series8.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite101.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	265	17
2	3578	17

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

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

Outputs

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

simplify86.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

775×	`associate-/l/_binary64`
647×	`associate-l_binary64`
539×	`fma-def_binary64`
471×	`associate-r_binary64`
466×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	315
1	45	315
2	92	315
3	258	294
4	856	252
5	4031	252
6	6585	252

Stop Event

1×	node limit

Counts

84 → 67

Calls

Call 1

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

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

eval410.0ms (7.2%)

Compiler: Compiled 7907 to 5616 computations (29% saved)

prune108.0ms (1.9%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	539	4	543
Fresh	1	0	1
Picked	1	0	1
Done	3	8	11
Total	544	12	556

Error

Counts

556 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(fma.f64 (.f64 y -4/29) 3 (.f64 (*.f64 3 y) x))
	26.8b	(/.f64 (*.f64 y -144/841) 12/29)
✓	35.7b	(.f64 3 (.f64 y x))
✓	0.1b	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
	48.0b	(/.f64 (.f64 (.f64 x (.f64 x 9)) y) (.f64 3 x))
	0.3b	(.f64 (+.f64 -4/29 x) (.f64 3 y))
✓	62.0b	(*.f64 y 12/29)
✓	35.7b	(.f64 (.f64 3 x) y)
✓	26.7b	(*.f64 -12/29 y)
✓	0.1b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	48.2b	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x y))) 2)
✓	26.8b	(.f64 3 (.f64 y -4/29))

Compiler

Compiled 102 to 78 computations (23.5% saved)

regimes109.0ms (1.9%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

7 calls:

31.0ms	(-.f64 x (/.f64 16 116))
14.0ms	y
14.0ms	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
14.0ms	x
9.0ms	(-.f64 x (/.f64 16 116))

Results

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

Compiler

Compiled 288 to 206 computations (28.5% saved)

regimes21.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 y 12/29)
(*.f64 -12/29 y)
(/.f64 (*.f64 y -144/841) 12/29)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 (.f64 3 x) y)
(.f64 (+.f64 -4/29 x) (.f64 3 y))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 3 (.f64 y (-.f64 x 4/29)))

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

Calls

2 calls:

11.0ms	x
7.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`

Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes60.0ms (1.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 y 12/29)
(*.f64 -12/29 y)
(/.f64 (*.f64 y -144/841) 12/29)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 (.f64 3 x) y)
(.f64 (+.f64 -4/29 x) (.f64 3 y))

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

Calls

2 calls:

51.0ms	y
6.0ms	x

Results

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

Compiler

Compiled 46 to 31 computations (32.6% saved)

regimes98.0ms (1.7%)

Counts

7 → 3

Calls

Call 1

Inputs
(*.f64 y 12/29)
(*.f64 -12/29 y)
(/.f64 (*.f64 y -144/841) 12/29)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 (.f64 3 x) y)

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

Calls

2 calls:

49.0ms	x
48.0ms	y

Results

Error	Segments	Branch
1.2b	3	`x`
20.4b	9	`y`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch45.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	7.79806940227454e-7	48211747999399720.0
26.0ms	-8703.861118848388	-0.024913119543816645

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes63.0ms (1.1%)

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 y 12/29)
(*.f64 -12/29 y)
(/.f64 (*.f64 y -144/841) 12/29)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))

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

Calls

2 calls:

46.0ms	y
15.0ms	x

Results

Error	Segments	Branch
1.2b	3	`x`
20.4b	9	`y`

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch43.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	7.79806940227454e-7	48211747999399720.0
20.0ms	-8703.861118848388	-0.024913119543816645

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes12.0ms (0.2%)

Accuracy

Total -35.8b remaining (-134.4%)

Threshold costs -35.8b (-134.4%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 y 12/29)
(*.f64 -12/29 y)
(/.f64 (*.f64 y -144/841) 12/29)
(.f64 3 (.f64 y -4/29))

Outputs
(*.f64 -12/29 y)

Calls

2 calls:

6.0ms	x
4.0ms	y

Results

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

Compiler

Compiled 24 to 18 computations (25% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
3×	`+-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	101
1	44	101
2	45	101

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 (+.f64 -4/29 x) (.f64 3 y))
(if (<=.f64 x -2392499126680307/274877906944) (.f64 3 (.f64 y x)) (if (<=.f64 x 7365068315278523/9444732965739290427392) (.f64 -12/29 y) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -2392499126680307/274877906944) (.f64 3 (.f64 y x)) (if (<=.f64 x 7365068315278523/9444732965739290427392) (.f64 -12/29 y) (.f64 3 (*.f64 y x))))
(*.f64 -12/29 y)
(*.f64 y 12/29)

Outputs
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(+.f64 (.f64 y (.f64 x 3)) (*.f64 y -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 y (+.f64 (.f64 x 3) -12/29))
(.f64 y (+.f64 -12/29 (.f64 x 3)))
(.f64 (+.f64 -4/29 x) (.f64 3 y))
(.f64 (+.f64 x -4/29) (.f64 3 y))
(if (<=.f64 x -2392499126680307/274877906944) (.f64 3 (.f64 y x)) (if (<=.f64 x 7365068315278523/9444732965739290427392) (.f64 -12/29 y) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -2392499126680307/274877906944) (.f64 3 (.f64 x y)) (if (<=.f64 x 7365068315278523/9444732965739290427392) (.f64 y -12/29) (.f64 y (*.f64 x 3))))
(if (<=.f64 x -2392499126680307/274877906944) (.f64 3 (.f64 y x)) (if (<=.f64 x 7365068315278523/9444732965739290427392) (.f64 -12/29 y) (.f64 3 (*.f64 y x))))
(if (<=.f64 x -2392499126680307/274877906944) (.f64 3 (.f64 x y)) (if (<=.f64 x 7365068315278523/9444732965739290427392) (.f64 y -12/29) (.f64 3 (*.f64 x y))))
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 y 12/29)

Compiler

Compiled 85 to 61 computations (28.2% saved)

soundness14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 90 to 74 computations (17.8% saved)

end63.0ms (1.1%)

Compiler: Compiled 73 to 48 computations (34.2% saved)

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

Iter	Nodes	Cost
0	19	402
1	44	402
2	112	402
3	208	402
4	265	402
5	401	402
6	650	402
7	891	402
8	988	402
9	994	402

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

Iter	Nodes	Cost
0	19	402
1	44	402
2	112	402
3	208	402
4	265	402
5	401	402
6	650	402
7	891	402
8	988	402
9	994	402

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

Iter	Nodes	Cost
0	19	402
1	44	402
2	112	402
3	208	402
4	265	402
5	401	402
6	650	402
7	891	402
8	988	402
9	994	402