Details

analyze121.0ms (7.2%)

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)

sample767.0ms (45.6%)

Results

748.0ms	8256×	body	128	valid
6.0ms	77×	body	128	invalid

Compiler

Compiled 24 to 20 computations (16.7% saved)

preprocess19.0ms (1.1%)

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)

simplify7.0ms (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
▶	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
	0.2b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) 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
✓	0.1b	(fma.f64 x 3 -12/29)
✓	0.2b	(*.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)
1.0ms	y	@	inf	(*.f64 (fma.f64 x 3 -12/29) y)

rewrite35.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
583×	`add-log-exp_binary64`
583×	`log1p-expm1-u_binary64`
583×	`expm1-log1p-u_binary64`
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 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 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 (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 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)))))) (#(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 (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 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 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 (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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 -12/29)))))))

simplify27.0ms (1.6%)

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)

prune28.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Error

0.0b

Counts

50 → 5

Alt Table

Status	Error	Program
	28.2b	(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
	32.5b	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
	1.4b	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
▶	0.2b	(-.f64 (.f64 3 (.f64 y x)) (*.f64 12/29 y))

Compiler

Compiled 528 to 402 computations (23.9% 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)
✓	0.3b	(.f64 3 (.f64 y x))

series9.0ms (0.5%)

Counts

3 → 15

Calls

15 calls:

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

rewrite62.0ms (3.7%)

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 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 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 +.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 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 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 +.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 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Outputs

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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 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(*.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))))))) (#(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))))))

simplify23.0ms (1.3%)

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)

prune191.0ms (11.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	223	3	226
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	224	7	231

Error

Counts

231 → 7

Alt Table

Status	Error	Program
	28.2b	(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
	32.1b	(fma.f64 (.f64 (.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -12/29))
	1.4b	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
	0.2b	(fma.f64 x (.f64 3 y) (.f64 y -12/29))
▶	0.2b	(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
✓	0.2b	(-.f64 (.f64 3 (.f64 y x)) (*.f64 12/29 y))

Compiler

Compiled 4308 to 2845 computations (34% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series4.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

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

rewrite44.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`pow1_binary64`
689×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
80×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	163	17
2	1845	17

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify29.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	354
1	44	354
2	93	354
3	203	354
4	435	354
5	667	354
6	869	354
7	959	354

Stop Event

1×

saturated

Counts

85 → 45

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

prune33.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	45	7	52

Error

Counts

52 → 7

Alt Table

Status	Error	Program
	28.2b	(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
	32.1b	(fma.f64 (.f64 (.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -12/29))
	1.4b	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
▶	0.2b	(fma.f64 x (.f64 3 y) (.f64 y -12/29))
✓	0.2b	(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
✓	0.2b	(-.f64 (.f64 3 (.f64 y x)) (*.f64 12/29 y))

Compiler

Compiled 621 to 461 computations (25.8% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

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

rewrite41.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`pow1_binary64`
668×	`add-log-exp_binary64`
668×	`log1p-expm1-u_binary64`
668×	`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	1792	15

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

simplify22.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	339
1	44	234
2	93	234
3	203	234
4	437	234
5	670	234
6	872	234
7	962	234

Stop Event

1×

saturated

Counts

70 → 40

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

prune23.0ms (1.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	40	7	47

Error

Counts

47 → 7

Alt Table

Status	Error	Program
	28.2b	(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
	32.1b	(fma.f64 (.f64 (.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -12/29))
	1.4b	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
✓	0.2b	(fma.f64 x (.f64 3 y) (.f64 y -12/29))
✓	0.2b	(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
✓	0.2b	(-.f64 (.f64 3 (.f64 y x)) (*.f64 12/29 y))

Compiler

Compiled 553 to 391 computations (29.3% saved)

regimes78.0ms (4.7%)

Accuracy

Total 0.1b remaining (90%)

Threshold costs 0.1b (90%)

Counts

27 → 1

Compiler

Compiled 284 to 197 computations (30.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11

Stop Event

1×

saturated

Calls

Call 1

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

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

end85.0ms (5%)

Stop Event

1×

fuel

Compiler

Compiled 94 to 68 computations (27.7% saved)

Details

analyze121.0ms (7.2%)

sample767.0ms (45.6%)

preprocess19.0ms (1.1%)

simplify7.0ms (0.4%)

prune3.0ms (0.2%)

localize4.0ms (0.2%)

series5.0ms (0.3%)

rewrite35.0ms (2.1%)

simplify27.0ms (1.6%)

prune28.0ms (1.7%)

localize5.0ms (0.3%)

series9.0ms (0.5%)

rewrite62.0ms (3.7%)

simplify23.0ms (1.3%)

prune191.0ms (11.4%)

localize5.0ms (0.3%)

series4.0ms (0.3%)

rewrite44.0ms (2.6%)

simplify29.0ms (1.7%)

prune33.0ms (1.9%)

localize6.0ms (0.4%)

series5.0ms (0.3%)

rewrite41.0ms (2.4%)

simplify22.0ms (1.3%)

prune23.0ms (1.4%)

regimes78.0ms (4.7%)

simplify2.0ms (0.1%)

end85.0ms (5%)

Profiling