Details

analyze139.0ms (2.4%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.1s (20%)

Results

1.1s	8256×	body	256	valid
15.0ms	139×	body	256	infinite

Bogosity

preprocess20.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	26	20
2	49	16
3	97	16
4	168	16
5	180	16
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

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)

eval2.0ms (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

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
▶	0.3b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 25 computations (19.4% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite82.0ms (1.4%)

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)))))

simplify17.0ms (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
✓	0.1b	(fma.f64 x 3 -12/29)
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)

Compiler

Compiled 16 to 11 computations (31.3% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

70 → 44

Calls

Call 1

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

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

eval51.0ms (0.9%)

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

prune27.0ms (0.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	109	10	119
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	12	121

Error

0.0b

Counts

121 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
	37.3b	(.f64 3 (.f64 y x))
▶	26.3b	(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
▶	0.2b	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
▶	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
▶	26.1b	(*.f64 -12/29 y)
	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
	32.3b	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
	13.7b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
▶	37.3b	(.f64 (.f64 3 x) y)
✓	0.3b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

Compiler

Compiled 207 to 159 computations (23.2% saved)

localize11.0ms (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)
✓	0.3b	(.f64 (.f64 x 3) y)

Compiler

Compiled 26 to 17 computations (34.6% saved)

series9.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

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

simplify45.0ms (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)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.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	@	0	(.f64 (.f64 3 x) y)
0.0ms	y	@	inf	(.f64 (.f64 3 x) y)

rewrite51.0ms (0.9%)

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))))))))

simplify40.0ms (0.7%)

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))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

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)
1.0ms	x	@	-inf	(.f64 (-.f64 (.f64 3 x) 12/29) y)
0.0ms	y	@	inf	(.f64 (-.f64 (.f64 3 x) 12/29) y)

rewrite68.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	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)))))

simplify13.0ms (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)

localize43.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (fma.f64 x 3 -12/29))
	0.1b	(fma.f64 x 3 -12/29)
✓	0.1b	(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
✓	1.0b	(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)))

rewrite69.0ms (1.2%)

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%)

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))

eval156.0ms (2.7%)

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

prune249.0ms (4.3%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	333	9	342
Fresh	3	2	5
Picked	1	0	1
Done	1	5	6
Total	338	16	354

Error

Counts

354 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.1b	(*.f64 -12/29 y)
▶	37.3b	(.f64 3 (.f64 y x))
▶	13.2b	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
	13.7b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
▶	51.0b	(sqrt.f64 (.f64 (.f64 y y) 144/841))
✓	0.2b	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
▶	0.4b	(+.f64 (.f64 (.f64 3 y) x) (*.f64 -12/29 y))
✓	0.3b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
	12.1b	(.f64 (/.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (*.f64 x x)) -144/841))) y)
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
	31.1b	(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 3 y)) (*.f64 y -12/29))
	11.7b	(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)) y)
	50.9b	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x y))) 2)
▶	0.2b	(fma.f64 (.f64 y x) 3 (.f64 y -12/29))
✓	37.3b	(.f64 (.f64 3 x) y)

Compiler

Compiled 311 to 231 computations (25.7% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite61.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

723×	`pow1_binary64`
669×	`add-log-exp_binary64`
669×	`log1p-expm1-u_binary64`
669×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	161	15
2	1794	15

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

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

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

simplify38.0ms (0.7%)

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	234
1	45	234
2	112	234
3	208	234
4	265	234
5	401	234
6	650	234
7	891	234
8	988	234
9	994	234

Stop Event

1×

saturated

Counts

68 → 40

Calls

Call 1

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite119.0ms (2.1%)

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

localize34.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 3 y) x) (*.f64 -12/29 y))
	0.1b	(*.f64 -12/29 y)
✓	0.5b	(.f64 (.f64 3 y) x)

Compiler

Compiled 26 to 17 computations (34.6% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite64.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`pow1_binary64`
913×	`add-log-exp_binary64`
913×	`log1p-expm1-u_binary64`
913×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	193	18
2	2485	18

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify43.0ms (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: 0 (0.0ms)

Iter	Nodes	Cost
0	19	354
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

99 → 59

Calls

Call 1

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 y y) 144/841)
✓	27.5b	(sqrt.f64 (.f64 (.f64 y y) 144/841))

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite56.0ms (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)))))))

simplify178.0ms (3.1%)

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))

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 3 x 12/29)
✓	0.1b	(.f64 9 (.f64 x x))
✓	5.0b	(.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y)
✓	7.6b	(/.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)

series14.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
2.0ms	x	@	inf	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
1.0ms	x	@	0	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
1.0ms	y	@	inf	(/.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))

rewrite94.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

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

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

simplify93.0ms (1.6%)

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)

eval147.0ms (2.6%)

Compiler: Compiled 4645 to 3174 computations (31.7% saved)

prune62.0ms (1.1%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	317	6	323
Fresh	4	2	6
Picked	1	0	1
Done	1	8	9
Total	323	16	339

Error

Counts

339 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.1b	(*.f64 -12/29 y)
✓	37.3b	(.f64 3 (.f64 y x))
▶	62.3b	(*.f64 y 12/29)
	23.7b	(/.f64 1 (/.f64 (+.f64 (.f64 3 (.f64 y x)) (.f64 12/29 y)) (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 (*.f64 y y) 144/841))))
	23.6b	(/.f64 (-.f64 (.f64 (.f64 y (.f64 x 3)) (.f64 y (.f64 x 3))) (.f64 (.f64 y y) 144/841)) (-.f64 (.f64 y (.f64 x 3)) (.f64 y -12/29)))
✓	0.2b	(fma.f64 (.f64 y x) 3 (.f64 y -12/29))
✓	0.2b	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
✓	0.4b	(+.f64 (.f64 (.f64 3 y) x) (*.f64 -12/29 y))
✓	37.3b	(.f64 (.f64 3 x) y)
	26.8b	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) 12/29)
✓	0.3b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
▶	12.1b	(.f64 (/.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (*.f64 x x)) -144/841))) y)
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
▶	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
▶	50.9b	(pow.f64 (sqrt.f64 (.f64 3 (.f64 y x))) 2)
▶	50.6b	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))

Compiler

Compiled 323 to 239 computations (26% 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)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite109.0ms (1.9%)

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))))))))

simplify37.0ms (0.7%)

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))

localize10.0ms (0.2%)

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)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite81.0ms (1.4%)

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))))))

simplify17.0ms (0.3%)

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)

localize48.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 9 (.f64 x x)) -144/841)
	0.1b	(.f64 9 (.f64 x x))
	5.0b	(.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y)
✓	7.6b	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))

Compiler

Compiled 47 to 27 computations (42.6% saved)

series31.0ms (0.5%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	y	@	0	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))
2.0ms	x	@	inf	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))
1.0ms	x	@	0	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))
1.0ms	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))

rewrite121.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (fma.f64 x (*.f64 9 x) -144/841) 1/3) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 (fma.f64 x (*.f64 9 x) -144/841) (/.f64 1/3 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 (fma.f64 x (*.f64 9 x) -144/841) (/.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 (fma.f64 x (*.f64 9 x) -144/841) (/.f64 1/3 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 (fma.f64 x (*.f64 9 x) -144/841) (/.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 9 x) -144/841) 1/3) (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 9 x) -144/841) (/.f64 1 (*.f64 3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 9 x) -144/841) (*.f64 y (/.f64 1/3 x)))))) (#(struct:change #<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 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simplify89.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

150 → 126

Calls

Call 1

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

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

localize55.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 9 (.f64 x x))
✓	0.2b	(.f64 (/.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (*.f64 x x)) -144/841))) y)
✓	0.7b	(/.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (.f64 x x)) -144/841)))
✓	10.8b	(/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (.f64 x x)) -144/841))

Compiler

Compiled 70 to 46 computations (34.3% saved)

series10.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (/.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (*.f64 x x)) -144/841))) y)
1.0ms	x	@	inf	(/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (.f64 x x)) -144/841))
1.0ms	x	@	0	(/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (.f64 x x)) -144/841))
1.0ms	x	@	-inf	(/.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (.f64 x x)) -144/841)))
1.0ms	x	@	-inf	(/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (.f64 x x)) -144/841))

rewrite125.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`log-prod_binary64`
376×	`pow2_binary64`
262×	`pow1/3_binary64`
261×	`expm1-udef_binary64`
261×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	322	48
2	3950	48

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify153.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

653×	`associate-/r/_binary64`
651×	`associate-/r*_binary64`
645×	`fma-def_binary64`
346×	`distribute-rgt-neg-in_binary64`
292×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	568
1	134	564
2	281	537
3	684	531
4	1901	528
5	5621	528
6	7886	528

Stop Event

1×	node limit

Counts

174 → 152

Calls

Call 1

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

Outputs
-29/12
(-.f64 (*.f64 -841/48 x) 29/12)
(fma.f64 -841/48 x -29/12)
(-.f64 (+.f64 (.f64 -24389/192 (pow.f64 x 2)) (.f64 -841/48 x)) 29/12)
(+.f64 (.f64 -24389/192 (.f64 x x)) (fma.f64 -841/48 x -29/12))
(fma.f64 -24389/192 (*.f64 x x) (fma.f64 -841/48 x -29/12))
(fma.f64 -841/48 x (fma.f64 x (*.f64 x -24389/192) -29/12))
(fma.f64 x (fma.f64 x -24389/192 -841/48) -29/12)
(-.f64 (+.f64 (.f64 -707281/768 (pow.f64 x 3)) (+.f64 (.f64 -24389/192 (pow.f64 x 2)) (*.f64 -841/48 x))) 29/12)
(+.f64 (fma.f64 -707281/768 (pow.f64 x 3) (fma.f64 -24389/192 (.f64 x x) (.f64 -841/48 x))) -29/12)
(fma.f64 -707281/768 (pow.f64 x 3) (fma.f64 -24389/192 (*.f64 x x) (fma.f64 -841/48 x -29/12)))
(fma.f64 -707281/768 (pow.f64 x 3) (fma.f64 -841/48 x (fma.f64 x (*.f64 x -24389/192) -29/12)))
(fma.f64 (*.f64 x x) (fma.f64 x -707281/768 -24389/192) (fma.f64 -841/48 x -29/12))
(fma.f64 x (fma.f64 x (fma.f64 x -707281/768 -24389/192) -841/48) -29/12)
(/.f64 1/3 x)
(+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x)))
(+.f64 (/.f64 4/87 (*.f64 x x)) (/.f64 1/3 x))
(+.f64 (/.f64 (/.f64 4/87 x) x) (/.f64 1/3 x))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 4/87 (*.f64 x x)) (/.f64 1/3 x)) (/.f64 16/2523 (pow.f64 x 3)))
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 16/2523 (pow.f64 x 3))))
(+.f64 (/.f64 1/3 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 16/2523 x) 4/87)))
(+.f64 (/.f64 1/3 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 4/87 (/.f64 16/2523 x))))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 64/73167 (/.f64 1 (pow.f64 x 4))) (.f64 1/3 (/.f64 1 x)))))
(+.f64 (/.f64 16/2523 (pow.f64 x 3)) (+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4)))))
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 16/2523 (pow.f64 x 3)) (/.f64 64/73167 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4))) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 16/2523 x) 4/87)))
(+.f64 (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4))) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 4/87 (/.f64 16/2523 x))))
(/.f64 1/3 x)
(+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x)))
(+.f64 (/.f64 4/87 (*.f64 x x)) (/.f64 1/3 x))
(+.f64 (/.f64 (/.f64 4/87 x) x) (/.f64 1/3 x))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 4/87 (*.f64 x x)) (/.f64 1/3 x)) (/.f64 16/2523 (pow.f64 x 3)))
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 16/2523 (pow.f64 x 3))))
(+.f64 (/.f64 1/3 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 16/2523 x) 4/87)))
(+.f64 (/.f64 1/3 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 4/87 (/.f64 16/2523 x))))
(+.f64 (.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/87 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 64/73167 (/.f64 1 (pow.f64 x 4))) (.f64 1/3 (/.f64 1 x)))))
(+.f64 (/.f64 16/2523 (pow.f64 x 3)) (+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4)))))
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 16/2523 (pow.f64 x 3)) (/.f64 64/73167 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4))) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 16/2523 x) 4/87)))
(+.f64 (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4))) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 4/87 (/.f64 16/2523 x))))
-12/29
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(*.f64 3 x)
(*.f64 x 3)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(*.f64 3 x)
(*.f64 x 3)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 3 (.f64 x y)))
(*.f64 y (fma.f64 x 3 -12/29))
(*.f64 (fma.f64 x 3 -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 3 (.f64 x y)))
(*.f64 y (fma.f64 x 3 -12/29))
(*.f64 (fma.f64 x 3 -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 3 (.f64 x y)))
(*.f64 y (fma.f64 x 3 -12/29))
(*.f64 (fma.f64 x 3 -12/29) y)
(.f64 3 (.f64 y x))
(.f64 3 (.f64 x y))
(.f64 x (.f64 3 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 3 (.f64 x y)))
(*.f64 y (fma.f64 x 3 -12/29))
(*.f64 (fma.f64 x 3 -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 3 (.f64 x y)))
(*.f64 y (fma.f64 x 3 -12/29))
(*.f64 (fma.f64 x 3 -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 3 (.f64 x y)))
(*.f64 y (fma.f64 x 3 -12/29))
(*.f64 (fma.f64 x 3 -12/29) y)
(.f64 3 (.f64 y x))
(.f64 3 (.f64 x y))
(.f64 x (.f64 3 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 3 (.f64 x y)))
(*.f64 y (fma.f64 x 3 -12/29))
(*.f64 (fma.f64 x 3 -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 3 (.f64 x y)))
(*.f64 y (fma.f64 x 3 -12/29))
(*.f64 (fma.f64 x 3 -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 3 (.f64 x y)))
(*.f64 y (fma.f64 x 3 -12/29))
(*.f64 (fma.f64 x 3 -12/29) y)
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (fma.f64 9 (.f64 x x) -144/841)) (fma.f64 3 x 12/29))
(/.f64 (.f64 y (fma.f64 (.f64 x x) 9 -144/841)) (fma.f64 x 3 12/29))
(.f64 (/.f64 (fma.f64 (.f64 x x) 9 -144/841) (fma.f64 x 3 12/29)) y)
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 x 3 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (fma.f64 9 (.f64 x x) -144/841)) (fma.f64 3 x 12/29))
(/.f64 (.f64 y (fma.f64 (.f64 x x) 9 -144/841)) (fma.f64 x 3 12/29))
(.f64 (/.f64 (fma.f64 (.f64 x x) 9 -144/841) (fma.f64 x 3 12/29)) y)
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 x 3 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (fma.f64 9 (.f64 x x) -144/841)) (fma.f64 3 x 12/29))
(/.f64 (.f64 y (fma.f64 (.f64 x x) 9 -144/841)) (fma.f64 x 3 12/29))
(.f64 (/.f64 (fma.f64 (.f64 x x) 9 -144/841) (fma.f64 x 3 12/29)) y)
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 x 3 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (fma.f64 9 (.f64 x x) -144/841)) (fma.f64 3 x 12/29))
(/.f64 (.f64 y (fma.f64 (.f64 x x) 9 -144/841)) (fma.f64 x 3 12/29))
(.f64 (/.f64 (fma.f64 (.f64 x x) 9 -144/841) (fma.f64 x 3 12/29)) y)
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 x 3 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (fma.f64 9 (.f64 x x) -144/841)) (fma.f64 3 x 12/29))
(/.f64 (.f64 y (fma.f64 (.f64 x x) 9 -144/841)) (fma.f64 x 3 12/29))
(.f64 (/.f64 (fma.f64 (.f64 x x) 9 -144/841) (fma.f64 x 3 12/29)) y)
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 x 3 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (fma.f64 9 (.f64 x x) -144/841)) (fma.f64 3 x 12/29))
(/.f64 (.f64 y (fma.f64 (.f64 x x) 9 -144/841)) (fma.f64 x 3 12/29))
(.f64 (/.f64 (fma.f64 (.f64 x x) 9 -144/841) (fma.f64 x 3 12/29)) y)
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 x 3 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (fma.f64 9 (.f64 x x) -144/841)) (fma.f64 3 x 12/29))
(/.f64 (.f64 y (fma.f64 (.f64 x x) 9 -144/841)) (fma.f64 x 3 12/29))
(.f64 (/.f64 (fma.f64 (.f64 x x) 9 -144/841) (fma.f64 x 3 12/29)) y)
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 x 3 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (fma.f64 9 (.f64 x x) -144/841)) (fma.f64 3 x 12/29))
(/.f64 (.f64 y (fma.f64 (.f64 x x) 9 -144/841)) (fma.f64 x 3 12/29))
(.f64 (/.f64 (fma.f64 (.f64 x x) 9 -144/841) (fma.f64 x 3 12/29)) y)
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 x 3 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (fma.f64 9 (.f64 x x) -144/841)) (fma.f64 3 x 12/29))
(/.f64 (.f64 y (fma.f64 (.f64 x x) 9 -144/841)) (fma.f64 x 3 12/29))
(.f64 (/.f64 (fma.f64 (.f64 x x) 9 -144/841) (fma.f64 x 3 12/29)) y)
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 x 3 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (fma.f64 9 (.f64 x x) -144/841)) (fma.f64 3 x 12/29))
(/.f64 (.f64 y (fma.f64 (.f64 x x) 9 -144/841)) (fma.f64 x 3 12/29))
(.f64 (/.f64 (fma.f64 (.f64 x x) 9 -144/841) (fma.f64 x 3 12/29)) y)
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 x 3 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (fma.f64 9 (.f64 x x) -144/841)) (fma.f64 3 x 12/29))
(/.f64 (.f64 y (fma.f64 (.f64 x x) 9 -144/841)) (fma.f64 x 3 12/29))
(.f64 (/.f64 (fma.f64 (.f64 x x) 9 -144/841) (fma.f64 x 3 12/29)) y)
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 x 3 12/29)))
(/.f64 (.f64 y (-.f64 (.f64 9 (pow.f64 x 2)) 144/841)) (+.f64 (*.f64 3 x) 12/29))
(/.f64 (.f64 y (fma.f64 9 (.f64 x x) -144/841)) (fma.f64 3 x 12/29))
(/.f64 (.f64 y (fma.f64 (.f64 x x) 9 -144/841)) (fma.f64 x 3 12/29))
(.f64 (/.f64 (fma.f64 (.f64 x x) 9 -144/841) (fma.f64 x 3 12/29)) y)
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 x 3 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 y x))) 2)
	0.3b	(.f64 3 (.f64 y x))
✓	6.9b	(sqrt.f64 (.f64 3 (.f64 y x)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series25.0ms (0.4%)

Counts

2 → 0

Calls

12 calls:

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

rewrite86.0ms (1.5%)

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	16
1	187	16
2	1842	16

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

56 → 56

Calls

Call 1

Inputs

Outputs

eval356.0ms (6.2%)

Compiler: Compiled 7764 to 5598 computations (27.9% saved)

prune76.0ms (1.3%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	488	5	493
Fresh	1	2	3
Picked	0	1	1
Done	3	9	12
Total	492	17	509

Error

Counts

509 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	37.3b	(*.f64 (/.f64 1 (/.f64 1/3 x)) y)
✓	26.1b	(*.f64 -12/29 y)
✓	37.3b	(.f64 3 (.f64 y x))
	52.0b	(.f64 (fma.f64 x (.f64 9 x) -144/841) (*.f64 y (/.f64 1/3 x)))
✓	62.3b	(*.f64 y 12/29)
	37.2b	(.f64 (.f64 3 y) x)
	23.6b	(/.f64 (-.f64 (.f64 (.f64 y (.f64 x 3)) (.f64 y (.f64 x 3))) (.f64 (.f64 y y) 144/841)) (-.f64 (.f64 y (.f64 x 3)) (.f64 y -12/29)))
✓	0.2b	(fma.f64 (.f64 y x) 3 (.f64 y -12/29))
✓	37.3b	(.f64 (.f64 3 x) y)
	26.8b	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) 12/29)
	26.2b	(.f64 3 (.f64 y -4/29))
✓	0.3b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	50.9b	(pow.f64 (sqrt.f64 (.f64 3 (.f64 y x))) 2)
	26.4b	(*.f64 (/.f64 1 -29/12) y)
✓	0.2b	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))

Compiler

Compiled 170 to 128 computations (24.7% saved)

regimes127.0ms (2.2%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

7 calls:

21.0ms	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
16.0ms	x
16.0ms	(-.f64 x (/.f64 16 116))
16.0ms	(*.f64 (-.f64 x (/.f64 16 116)) 3)
16.0ms	(*.f64 (-.f64 x (/.f64 16 116)) 3)

Results

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

Compiler

Compiled 354 to 244 computations (31.1% saved)

regimes72.0ms (1.3%)

Counts

20 → 1

Calls

Call 1

Inputs
(*.f64 y 12/29)
(*.f64 -12/29 y)
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y -4/29))
(*.f64 (/.f64 1 -29/12) y)
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 (.f64 3 x) y)
(*.f64 (/.f64 1 (/.f64 1/3 x)) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 3 (.f64 y (-.f64 x 4/29)))
(+.f64 (.f64 (.f64 3 y) x) (*.f64 -12/29 y))
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) 12/29)
(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) (-.f64 (.f64 3 x) -12/29)) y)
(/.f64 (-.f64 (.f64 (.f64 y (.f64 x 3)) (.f64 y (.f64 x 3))) (.f64 (.f64 y y) 144/841)) (-.f64 (.f64 y (.f64 x 3)) (.f64 y -12/29)))
(sqrt.f64 (.f64 (.f64 y y) 144/841))
(*.f64 (fma.f64 x 3 -12/29) y)

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 213 to 151 computations (29.1% saved)

regimes17.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	y
7.0ms	x

Results

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

Compiler

Compiled 74 to 50 computations (32.4% saved)

regimes114.0ms (2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

74.0ms	x
36.0ms	y

Results

Error	Segments	Branch
2.0b	3	`x`
17.9b	7	`y`

Compiler

Compiled 51 to 34 computations (33.3% saved)

bsearch145.0ms (2.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
124.0ms	0.0006347122965453584	10205287.372253556
21.0ms	-11.194023462758867	-9.89106774016047e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes49.0ms (0.9%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	y
13.0ms	x

Results

Error	Segments	Branch
2.0b	3	`x`
17.9b	7	`y`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch40.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.0006347122965453584	10205287.372253556
19.0ms	-11.194023462758867	-9.89106774016047e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total -36.6b remaining (-140.2%)

Threshold costs -36.6b (-140.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 -12/29 y)

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
26.1b	1	`x`
26.1b	1	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	102
1	40	102
2	41	102

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 y x) 3 (.f64 y -12/29))
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(if (<=.f64 x -3150837493478589/281474976710656) (.f64 (.f64 3 y) x) (if (<=.f64 x 5854187647404335/9223372036854775808) (.f64 -12/29 y) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -3150837493478589/281474976710656) (.f64 (.f64 3 y) x) (if (<=.f64 x 5854187647404335/9223372036854775808) (.f64 -12/29 y) (.f64 (*.f64 3 y) x)))
(*.f64 -12/29 y)
(*.f64 y 12/29)

Outputs
(fma.f64 (.f64 y x) 3 (.f64 y -12/29))
(+.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)))
(if (<=.f64 x -3150837493478589/281474976710656) (.f64 (.f64 3 y) x) (if (<=.f64 x 5854187647404335/9223372036854775808) (.f64 -12/29 y) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -3150837493478589/281474976710656) (.f64 x (.f64 y 3)) (if (<=.f64 x 5854187647404335/9223372036854775808) (.f64 y -12/29) (.f64 y (*.f64 x 3))))
(if (<=.f64 x -3150837493478589/281474976710656) (.f64 (.f64 3 y) x) (if (<=.f64 x 5854187647404335/9223372036854775808) (.f64 -12/29 y) (.f64 (*.f64 3 y) x)))
(if (<=.f64 x -3150837493478589/281474976710656) (.f64 x (.f64 y 3)) (if (<=.f64 x 5854187647404335/9223372036854775808) (.f64 y -12/29) (.f64 x (*.f64 y 3))))
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 y 12/29)

Compiler

Compiled 86 to 62 computations (27.9% saved)

soundness12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 90 to 74 computations (17.8% saved)

end80.0ms (1.4%)

Compiler: Compiled 74 to 50 computations (32.4% 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	234
1	45	234
2	112	234
3	208	234
4	265	234
5	401	234
6	650	234
7	891	234
8	988	234
9	994	234

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

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

Iter	Nodes	Cost
0	19	234
1	45	234
2	112	234
3	208	234
4	265	234
5	401	234
6	650	234
7	891	234
8	988	234
9	994	234

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

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

Iter	Nodes	Cost
0	19	234
1	45	234
2	112	234
3	208	234
4	265	234
5	401	234
6	650	234
7	891	234
8	988	234
9	994	234

Iter	Nodes	Cost
0	19	354
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