Details

analyze118.0ms (6.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	43.7%	6.3%	7
59.3%	34.3%	6.3%	8
67.1%	23.4%	9.5%	9
72.6%	18%	9.5%	10
76.9%	12.1%	11%	11
79.8%	9.2%	11%	12
82%	6.1%	11.8%	13
83.6%	4.6%	11.8%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample816.0ms (46.1%)

Results

799.0ms	8256×	body	128	valid
5.0ms	63×	body	128	invalid

Compiler

Compiled 24 to 20 computations (16.7% saved)

preprocess21.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

36×	`fma-def_binary64`
24×	`distribute-rgt-in_binary64`
22×	`distribute-lft-in_binary64`
15×	`*-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 x -4/29) (.f64 3 y))
(*.f64 (fma.f64 x 3 -12/29) y)
(.f64 (.f64 (-.f64 y (/.f64 16 116)) 3) x)
(.f64 x (.f64 3 (+.f64 y -4/29)))
(.f64 x (+.f64 (.f64 3 y) -12/29))
(*.f64 x (fma.f64 3 y -12/29))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify8.0ms (0.4%)

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	101	8
5	107	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 (fma.f64 x 3 -12/29) y)

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 55 to 43 computations (21.8% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

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

rewrite41.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
583×	`add-log-exp_binary64`
583×	`log1p-expm1-u_binary64`
583×	`expm1-log1p-u_binary64`
69×	`add-sqr-sqrt_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 → 38

Calls

Call 1

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

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

simplify30.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

315×	`fma-def_binary64`
170×	`fma-neg_binary64`
60×	`cancel-sign-sub-inv_binary64`
48×	`distribute-rgt-neg-in_binary64`
29×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	345
1	29	240
2	52	240
3	69	240
4	110	240
5	192	240
6	343	240
7	622	240
8	916	240
9	1021	240
10	1023	240

Stop Event

1×

saturated

Counts

74 → 48

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

prune30.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Error

0.0b

Counts

50 → 4

Alt Table

Status	Error	Program
	15.1b	(*.f64 (expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) y)
	0.2b	(-.f64 (.f64 3 (.f64 y x)) (*.f64 12/29 y))
✓	0.1b	(*.f64 (fma.f64 x 3 -12/29) y)
▶	0.1b	(.f64 (-.f64 (.f64 3 x) 12/29) y)

Compiler

Compiled 502 to 380 computations (24.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series4.0ms (0.2%)

Counts

2 → 15

Calls

9 calls:

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

rewrite41.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
783×	`log1p-expm1-u_binary64`
783×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`
81×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	173	13
2	2067	13

Stop Event

1×	node limit

Counts

2 → 55

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

simplify21.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

316×	`fma-def_binary64`
170×	`fma-neg_binary64`
60×	`cancel-sign-sub-inv_binary64`
48×	`distribute-rgt-neg-in_binary64`
28×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	144
1	24	126
2	43	117
3	66	99
4	111	99
5	193	99
6	343	99
7	622	99
8	916	99
9	1021	99
10	1023	99

Stop Event

1×

saturated

Counts

70 → 62

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

prune36.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	61	5	66

Error

0.0b

Counts

66 → 5

Alt Table

Status	Error	Program
	15.1b	(*.f64 (expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) y)
▶	0.2b	(-.f64 (.f64 3 (.f64 y x)) (*.f64 12/29 y))
	14.0b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -144/841) y) (fma.f64 3 x 12/29))
✓	0.1b	(*.f64 (fma.f64 x 3 -12/29) y)
✓	0.1b	(.f64 (-.f64 (.f64 3 x) 12/29) y)

Compiler

Compiled 770 to 598 computations (22.3% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series19.0ms (1.1%)

Counts

3 → 15

Calls

15 calls:

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

rewrite69.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`log-prod_binary64`
410×	`fma-def_binary64`
202×	`fma-neg_binary64`
187×	`egg-rr`
178×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	205	22
2	2635	22

Stop Event

1×	node limit

Counts

3 → 219

Calls

Call 1

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

Outputs

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

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

((#(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 y (*.f64 x 3)) (*.f64 (*.f64 y -12/29) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 x 3)) (fma.f64 y -12/29 (fma.f64 y -12/29 (*.f64 y 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) (fma.f64 y -12/29 (*.f64 y 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) (fma.f64 (*.f64 y -12/29) 1 (*.f64 y 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 12/29))) (cbrt.f64 (*.f64 (*.f64 y y) 144/841)) (*.f64 y 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) (*.f64 (fma.f64 y -12/29 (*.f64 y 12/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) (+.f64 (fma.f64 y -12/29 (*.f64 y 12/29)) (fma.f64 y -12/29 (*.f64 y 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y -12/29 (*.f64 y 12/29)) (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)))))) (#(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 0 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)))) (cbrt.f64 (exp.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))))))) (#(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 y (*.f64 x 3)) 3) (*.f64 (pow.f64 y 3) 1728/24389)) (/.f64 1 (fma.f64 (*.f64 y 12/29) (fma.f64 3 (*.f64 y x) (*.f64 y 12/29)) (pow.f64 (*.f64 y (*.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 x 3)) 2) (*.f64 (*.f64 y y) 144/841)) (/.f64 1 (fma.f64 3 (*.f64 y x) (*.f64 y 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 x 3))) (sqrt.f64 (*.f64 y 12/29))) (-.f64 (sqrt.f64 (*.f64 y (*.f64 x 3))) (sqrt.f64 (*.f64 y 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y 12/29) (fma.f64 3 (*.f64 y x) (*.f64 y 12/29)) (pow.f64 (*.f64 y (*.f64 x 3)) 2)) (-.f64 (pow.f64 (*.f64 y (*.f64 x 3)) 3) (*.f64 (pow.f64 y 3) 1728/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3 (*.f64 y x) (*.f64 y 12/29)) (-.f64 (pow.f64 (*.f64 y (*.f64 x 3)) 2) (*.f64 (*.f64 y y) 144/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 x 3)) 3) (*.f64 (pow.f64 y 3) 1728/24389)) (fma.f64 (*.f64 y 12/29) (fma.f64 3 (*.f64 y x) (*.f64 y 12/29)) (pow.f64 (*.f64 y (*.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 x 3)) 2) (*.f64 (*.f64 y y) 144/841)) (fma.f64 3 (*.f64 y x) (*.f64 y 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 x 3)) 3) (*.f64 (pow.f64 y 3) 1728/24389))) (neg.f64 (fma.f64 (*.f64 y 12/29) (fma.f64 3 (*.f64 y x) (*.f64 y 12/29)) (pow.f64 (*.f64 y (*.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 x 3)) 2) (*.f64 (*.f64 y y) 144/841))) (neg.f64 (fma.f64 3 (*.f64 y x) (*.f64 y 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 y x) 3) 27 (pow.f64 (*.f64 y -12/29) 3)) (fma.f64 (pow.f64 (*.f64 y x) 2) 9 (-.f64 (*.f64 (*.f64 y -12/29) (*.f64 y -12/29)) (*.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) 3) (pow.f64 (fma.f64 y -12/29 (*.f64 y 12/29)) 3)) (+.f64 (pow.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) 2) (fma.f64 (fma.f64 y -12/29 (*.f64 y 12/29)) (fma.f64 y -12/29 (*.f64 y 12/29)) (neg.f64 (*.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) (fma.f64 y -12/29 (*.f64 y 12/29)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 x 3)) 2) (*.f64 (*.f64 y -12/29) (*.f64 y -12/29))) (-.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) 2) (*.f64 (fma.f64 y -12/29 (*.f64 y 12/29)) (fma.f64 y -12/29 (*.f64 y 12/29)))) (-.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) (fma.f64 y -12/29 (*.f64 y 12/29))))))) (#(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 pow.f64 (/.f64 (fma.f64 (*.f64 y 12/29) (fma.f64 3 (*.f64 y x) (*.f64 y 12/29)) (pow.f64 (*.f64 y (*.f64 x 3)) 2)) (-.f64 (pow.f64 (*.f64 y (*.f64 x 3)) 3) (*.f64 (pow.f64 y 3) 1728/24389))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 3 (*.f64 y x) (*.f64 y 12/29)) (-.f64 (pow.f64 (*.f64 y (*.f64 x 3)) 2) (*.f64 (*.f64 y y) 144/841))) -1)))) (#(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 log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x 3)))) (pow.f64 (exp.f64 12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 3) (*.f64 y x)) (+.f64 1 (expm1.f64 (*.f64 y 12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 y 12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x 3)))) (exp.f64 (*.f64 y -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 3) (*.f64 y x)) (/.f64 1 (pow.f64 (exp.f64 12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x 3)))) (/.f64 1 (pow.f64 (exp.f64 12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)))) (exp.f64 (fma.f64 y -12/29 (*.f64 y 12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 y -12/29 (*.f64 y 12/29))) (exp.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 y -12/29 (*.f64 y 12/29))) (+.f64 1 (expm1.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y -12/29)) (pow.f64 (exp.f64 3) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 12/29) y)) (pow.f64 (exp.f64 3) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y -12/29)) (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 12/29) y)) (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x 3))))))))) (#(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 exp.f64 (log.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))) 1))))) (#(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 fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 y x) (*.f64 (*.f64 y 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(cbrt.f64 (*.f64 y -12/29))) (cbrt.f64 (*.f64 y -12/29)) (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y -12/29 (*.f64 y 12/29))) (sqrt.f64 (fma.f64 y -12/29 (*.f64 y 12/29))) (fma.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 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 12/29))) (sqrt.f64 (*.f64 y 12/29)) (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 y 12/29) (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 x 3))) (sqrt.f64 (*.f64 y 12/29))) (-.f64 (sqrt.f64 (*.f64 y (*.f64 x 3))) (sqrt.f64 (*.f64 y 12/29))) (fma.f64 y -12/29 (*.f64 y 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 x 3))) (sqrt.f64 (*.f64 y 12/29))) (-.f64 (sqrt.f64 (*.f64 y (*.f64 x 3))) (sqrt.f64 (*.f64 y 12/29))) (fma.f64 (*.f64 y -12/29) 1 (*.f64 y 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 x 3))) (sqrt.f64 (*.f64 y 12/29))) (-.f64 (sqrt.f64 (*.f64 y (*.f64 x 3))) (sqrt.f64 (*.f64 y 12/29))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 12/29))) (cbrt.f64 (*.f64 (*.f64 y y) 144/841)) (*.f64 y 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 x 3))) (sqrt.f64 (*.f64 y 12/29))) (-.f64 (sqrt.f64 (*.f64 y (*.f64 x 3))) (sqrt.f64 (*.f64 y 12/29))) (*.f64 (fma.f64 y -12/29 (*.f64 y 12/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 x 3))) (sqrt.f64 (*.f64 y 12/29))) (-.f64 (sqrt.f64 (*.f64 y (*.f64 x 3))) (sqrt.f64 (*.f64 y 12/29))) (+.f64 (fma.f64 y -12/29 (*.f64 y 12/29)) (fma.f64 y -12/29 (*.f64 y 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 y y) 144/841))) (cbrt.f64 (*.f64 y 12/29)) (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12/29 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12/29 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) y (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) y (*.f64 (*.f64 y -12/29) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) y (fma.f64 y -12/29 (fma.f64 y -12/29 (*.f64 y 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) y (neg.f64 (-.f64 (*.f64 y 12/29) (fma.f64 y -12/29 (*.f64 y 12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (cbrt.f64 (*.f64 y x)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (cbrt.f64 (*.f64 y x)) (*.f64 (*.f64 y -12/29) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (cbrt.f64 (*.f64 y x)) (fma.f64 y -12/29 (fma.f64 y -12/29 (*.f64 y 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (cbrt.f64 (*.f64 y x)) (neg.f64 (-.f64 (*.f64 y 12/29) (fma.f64 y -12/29 (*.f64 y 12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 (*.f64 y -12/29) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (fma.f64 y -12/29 (fma.f64 y -12/29 (*.f64 y 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (neg.f64 (-.f64 (*.f64 y 12/29) (fma.f64 y -12/29 (*.f64 y 12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) 1) x (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) 1) x (*.f64 (*.f64 y -12/29) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) 1) x (fma.f64 y -12/29 (fma.f64 y -12/29 (*.f64 y 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) 1) x (neg.f64 (-.f64 (*.f64 y 12/29) (fma.f64 y -12/29 (*.f64 y 12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 y -12/29) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 y -12/29 (fma.f64 y -12/29 (*.f64 y 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 y 12/29) (fma.f64 y -12/29 (*.f64 y 12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y -12/29) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y -12/29 (fma.f64 y -12/29 (*.f64 y 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 y 12/29) (fma.f64 y -12/29 (*.f64 y 12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))))))

simplify25.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

176×	`fma-def_binary64`
142×	`fma-neg_binary64`
49×	`associate-l_binary64`
48×	`associate-r_binary64`
37×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	114
1	37	114
2	79	114
3	187	114
4	382	114
5	572	114
6	813	114
7	905	114

Stop Event

1×

saturated

Counts

234 → 226

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

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

prune172.0ms (9.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	223	3	226
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	225	6	231

Error

0.0b

Counts

231 → 6

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (fma.f64 x 3 -12/29) y)
▶	0.1b	(fma.f64 3 (.f64 y x) (.f64 y -12/29))
	0.5b	(fma.f64 (.f64 (.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y -12/29))
	15.1b	(*.f64 (expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) y)
	14.0b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -144/841) y) (fma.f64 3 x 12/29))
	0.1b	(fma.f64 x (.f64 3 y) (.f64 y -12/29))

Compiler

Compiled 4311 to 2849 computations (33.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.4%)

Counts

2 → 36

Calls

9 calls:

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

rewrite38.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

723×	`pow1_binary64`
669×	`add-log-exp_binary64`
669×	`log1p-expm1-u_binary64`
669×	`expm1-log1p-u_binary64`
79×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	161	15
2	1795	15

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify26.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

203×	`fma-def_binary64`
135×	`fma-neg_binary64`
52×	`cancel-sign-sub-inv_binary64`
45×	`associate-r_binary64`
45×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	234
1	44	234
2	93	234
3	203	234
4	436	234
5	668	234
6	872	234
7	962	234

Stop Event

1×

saturated

Counts

70 → 42

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 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))
(*.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 12/29 (*.f64 3 x))))
(*.f64 (fma.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 (fma.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 (fma.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 (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 (.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 (.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)

prune27.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	42	6	48

Error

0.0b

Counts

48 → 6

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (fma.f64 x 3 -12/29) y)
✓	0.1b	(fma.f64 3 (.f64 y x) (.f64 y -12/29))
	0.5b	(fma.f64 (.f64 (.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y -12/29))
	15.1b	(*.f64 (expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) y)
	14.0b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -144/841) y) (fma.f64 3 x 12/29))
	0.1b	(fma.f64 x (.f64 3 y) (.f64 y -12/29))

Compiler

Compiled 557 to 357 computations (35.9% saved)

regimes123.0ms (6.9%)

Accuracy

Total 0.2b remaining (91.4%)

Threshold costs 0.2b (91.4%)

Counts

38 → 1

Compiler

Compiled 428 to 300 computations (29.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8

Stop Event

1×

saturated

Calls

Call 1

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

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

end74.0ms (4.2%)

Stop Event

1×

fuel

Compiler

Compiled 86 to 64 computations (25.6% saved)

Details

analyze118.0ms (6.7%)

sample816.0ms (46.1%)

preprocess21.0ms (1.2%)

simplify8.0ms (0.4%)

prune3.0ms (0.2%)

localize4.0ms (0.2%)

series5.0ms (0.3%)

rewrite41.0ms (2.3%)

simplify30.0ms (1.7%)

prune30.0ms (1.7%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite41.0ms (2.3%)

simplify21.0ms (1.2%)

prune36.0ms (2%)

localize5.0ms (0.3%)

series19.0ms (1.1%)

rewrite69.0ms (3.9%)

simplify25.0ms (1.4%)

prune172.0ms (9.7%)

localize5.0ms (0.3%)

series7.0ms (0.4%)

rewrite38.0ms (2.2%)

simplify26.0ms (1.5%)

prune27.0ms (1.5%)

regimes123.0ms (6.9%)

simplify2.0ms (0.1%)

end74.0ms (4.2%)

Profiling