Details

analyze76.0ms (1.9%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample955.0ms (24.4%)

Results

928.0ms	8256×	body	256	valid
13.0ms	147×	body	256	invalid

preprocess21.0ms (0.5%)

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 13 to 11 computations (15.4% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	18	10
2	33	8
3	65	8
4	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)

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
▶	0.4b	(*.f64 (fma.f64 x 3 -12/29) y)

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 (fma.f64 x 3 -12/29) y)
	0.1b	(fma.f64 x 3 -12/29)
✓	0.1b	(fma.f64 x 3 -12/29)
✓	0.4b	(*.f64 (fma.f64 x 3 -12/29) y)

Compiler

Compiled 16 to 11 computations (31.3% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite50.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
583×	`add-log-exp_binary64`
583×	`log1p-expm1-u_binary64`
583×	`expm1-log1p-u_binary64`
573×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	13
2	1551	13

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

70 → 44

Calls

Call 1

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

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

localize13.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.4b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
	0.0b	(*.f64 (-.f64 x (/.f64 16 116)) 3)
	0.0b	(-.f64 x (/.f64 16 116))
✓	0.0b	(-.f64 x (/.f64 16 116))
✓	0.0b	(*.f64 (-.f64 x (/.f64 16 116)) 3)
✓	0.4b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

Compiler

Compiled 31 to 25 computations (19.4% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite58.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`unpow-prod-down_binary64`
423×	`log-prod_binary64`
317×	`exp-prod_binary64`
271×	`prod-exp_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	218	21
2	2462	17

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 x 3 -12/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x 3 -12/29) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 x 3) -64/24389) (.f64 3 y)) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 x 3 -12/29) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x 3 -12/29) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x 3 -12/29) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 x 3 -12/29) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 x 3 -12/29) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y))) 2)) (cbrt.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y)))) (sqrt.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 x 3 -12/29) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 x 3 -12/29) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (fma.f64 x 3 -12/29) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x 3 -12/29) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 x 3 -12/29) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -4/29)) 1) (log.f64 (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x 3 -12/29)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x 3 -12/29)) (.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x 3 -12/29)) 1) (.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 y) 1) (log.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 y) (.f64 (log.f64 (fma.f64 x 3 -12/29)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (fma.f64 x 3 -12/29)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 3 y)) (.f64 (log.f64 (+.f64 x -4/29)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 x 3 -12/29) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 3 -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 x) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) 2)) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 -12/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 x 3) -64/24389) 3) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 3 -12/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 3 -12/29)))) (sqrt.f64 (log.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 3 -12/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x 3 -12/29) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x 3 -12/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x 3 -12/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x 3 -12/29)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4/29 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -4/29)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 1 (fma.f64 x x (fma.f64 x 4/29 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 3) -64/24389) (pow.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 4/29 16/841))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -16/841) (pow.f64 (/.f64 1 (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -4/29) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -4/29) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (+.f64 x -4/29) (cbrt.f64 (+.f64 x -4/29))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (+.f64 x -4/29) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -4/29))) 2) 3) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -4/29))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 3) -64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (-.f64 16/841 (.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) -64/24389)) (neg.f64 (fma.f64 x x (fma.f64 x 4/29 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/841)) (neg.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (+.f64 (pow.f64 x 3) -64/24389)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -4/29))) 2)) (cbrt.f64 (log.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -4/29)))) (sqrt.f64 (log.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 x -4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x -4/29))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 x -4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x -4/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (+.f64 x -4/29)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -4/29)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x 3 -12/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -64/24389) (*.f64 3 y)) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/841) (*.f64 3 y)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 2)) (cbrt.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))) (sqrt.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -4/29)) 1) (log.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x 3 -12/29)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 3 y)) (*.f64 (log.f64 (+.f64 x -4/29)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 3 -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) 2)) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 -12/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 3 -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -64/24389) 3) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (fma.f64 x 4/29 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 3 -12/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 3 -12/29)))) (sqrt.f64 (log.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 3 -12/29) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 3 -12/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 3 -12/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29)))))))

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

simplify18.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	342
1	33	342
2	60	279
3	96	279
4	102	279

Stop Event

1×

saturated

Counts

168 → 132

Calls

Call 1

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

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

eval55.0ms (1.4%)

Compiler: Compiled 1906 to 1452 computations (23.8% saved)

prune38.0ms (1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	163	13	176
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	164	14	178

Error

0.0b

Counts

178 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	38.5b	(.f64 3 (.f64 y x))
	39.4b	(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3))
	34.6b	(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
▶	24.4b	(*.f64 -12/29 y)
▶	0.8b	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3) y)
	38.8b	(.f64 (.f64 x 3) y)
	24.5b	(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
▶	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
▶	13.9b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
	0.8b	(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (cbrt.f64 (fma.f64 x 3 -12/29))) y)
	0.4b	(+.f64 (.f64 y (.f64 x 3)) (*.f64 y -12/29))
	0.4b	(.f64 (.f64 (+.f64 x -4/29) 3) y)
✓	0.4b	(*.f64 (fma.f64 x 3 -12/29) y)
▶	0.4b	(.f64 (-.f64 (.f64 3 x) 12/29) y)

Compiler

Compiled 268 to 208 computations (22.4% saved)

localize9.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
	0.1b	(*.f64 y (-.f64 x 4/29))
	0.0b	(-.f64 x 4/29)
✓	0.0b	(-.f64 x 4/29)
✓	0.1b	(*.f64 y (-.f64 x 4/29))
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series5.0ms (0.1%)

Counts

3 → 27

Calls

15 calls:

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

rewrite57.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`pow1_binary64`
806×	`add-log-exp_binary64`
806×	`log1p-expm1-u_binary64`
806×	`expm1-log1p-u_binary64`
793×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	174	21
2	2113	21

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 y) x) (*.f64 (*.f64 3 y) -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (*.f64 y (+.f64 x -4/29)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 y (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))))))))

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

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
11×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`distribute-rgt-out_binary64`
3×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	204
1	22	195
2	40	186
3	56	168
4	60	168

Stop Event

1×

saturated

Counts

91 → 76

Calls

Call 1

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

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

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite34.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	875	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 -12/29 y)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 -12/29 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -12/29 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -24/29) y))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 (+.f64 1 (*.f64 -12/29 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -12/29 y)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -12/29 y)) (+.f64 1 (*.f64 -12/29 y))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -12/29 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -12/29 y)) (+.f64 1 (*.f64 -12/29 y))) 1) (+.f64 (+.f64 1 (*.f64 -12/29 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -12/29 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) 144/841) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -12/29 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -12/29 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -12/29 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 -12/29 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -12/29 y))) 2)) (cbrt.f64 (log.f64 (*.f64 -12/29 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -12/29 y)))) (sqrt.f64 (log.f64 (*.f64 -12/29 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 144/841))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 -12/29 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -12/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -12/29 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -12/29 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -12/29 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -12/29 y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -12/29 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -12/29 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -12/29 y)))))))

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
	0.0b	(-.f64 (*.f64 3 x) 12/29)
✓	0.0b	(-.f64 (*.f64 3 x) 12/29)
✓	0.4b	(.f64 (-.f64 (.f64 3 x) 12/29) y)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series6.0ms (0.1%)

Counts

2 → 15

Calls

9 calls:

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

rewrite52.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

66 → 57

Calls

Call 1

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

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

localize17.0ms (0.4%)

Local error

Found 6 expressions with local error:

New	Error	Program
	8.0b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
	5.3b	(.f64 (fma.f64 x x -16/841) (.f64 3 y))
	0.0b	(fma.f64 x x -16/841)
✓	0.0b	(fma.f64 x x -16/841)
✓	5.3b	(.f64 (fma.f64 x x -16/841) (.f64 3 y))
✓	8.0b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))

Compiler

Compiled 37 to 24 computations (35.1% saved)

series11.0ms (0.3%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(.f64 (fma.f64 x x -16/841) (.f64 3 y))
1.0ms	y	@	0	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
1.0ms	x	@	0	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
1.0ms	y	@	inf	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
1.0ms	x	@	inf	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))

rewrite68.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	241	26
2	3151	26

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

Outputs

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

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

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

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	735
1	53	693
2	112	621
3	256	603
4	554	603
5	1507	603
6	2879	603
7	5194	603

Stop Event

1×	node limit

Counts

175 → 134

Calls

Call 1

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

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

localize18.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(cbrt.f64 (fma.f64 x 3 -12/29))
	0.4b	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3) y)
	0.3b	(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)
	0.1b	(fma.f64 x 3 -12/29)
	0.1b	(fma.f64 x 3 -12/29)
✓	0.3b	(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)
✓	0.4b	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3) y)
✓	0.4b	(cbrt.f64 (fma.f64 x 3 -12/29))

Compiler

Compiled 31 to 24 computations (22.6% saved)

series14.0ms (0.4%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(cbrt.f64 (fma.f64 x 3 -12/29))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)
2.0ms	x	@	0	(cbrt.f64 (fma.f64 x 3 -12/29))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)

rewrite53.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

Outputs

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

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

simplify43.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

675×	`associate-/l*_binary64`
423×	`associate-/r*_binary64`
422×	`fma-def_binary64`
403×	`associate-*l/_binary64`
350×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	639
1	256	501
2	770	479
3	3918	437

Stop Event

1×	node limit

Counts

91 → 79

Calls

Call 1

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

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

eval154.0ms (3.9%)

Compiler: Compiled 5339 to 4156 computations (22.2% saved)

prune73.0ms (1.9%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	385	11	396
Fresh	6	2	8
Picked	1	0	1
Done	2	3	5
Total	394	16	410

Error

0.0b

Counts

410 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.5b	(.f64 3 (.f64 y x))
	1.4b	(.f64 3 (pow.f64 (cbrt.f64 (.f64 y (+.f64 x -4/29))) 3))
▶	24.2b	(.f64 3 (.f64 y (log.f64 (exp.f64 (+.f64 x -4/29)))))
✓	0.4b	(*.f64 (fma.f64 x 3 -12/29) y)
	39.1b	(.f64 (pow.f64 (cbrt.f64 (.f64 3 x)) 3) y)
	24.5b	(/.f64 (*.f64 -48/841 y) (+.f64 x 4/29))
✓	0.4b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
	24.5b	(.f64 3 (.f64 y -4/29))
	38.8b	(.f64 y (.f64 3 x))
	13.7b	(/.f64 (.f64 y (+.f64 (pow.f64 (.f64 3 x) 2) -144/841)) (fma.f64 3 x 12/29))
▶	38.5b	(.f64 x (.f64 3 y))
✓	24.4b	(*.f64 -12/29 y)
	0.4b	(+.f64 (.f64 y (.f64 3 x)) (*.f64 y -12/29))
▶	52.1b	(/.f64 (.f64 y (.f64 3 (*.f64 x x))) (+.f64 x 4/29))
▶	0.4b	(.f64 (.f64 (+.f64 x -4/29) 3) y)
	34.6b	(log1p.f64 (expm1.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))

Compiler

Compiled 282 to 219 computations (22.3% saved)

localize9.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.4b	(.f64 (.f64 (+.f64 x -4/29) 3) y)
	0.0b	(*.f64 (+.f64 x -4/29) 3)
	0.0b	(+.f64 x -4/29)
✓	0.0b	(+.f64 x -4/29)
✓	0.0b	(*.f64 (+.f64 x -4/29) 3)
✓	0.4b	(.f64 (.f64 (+.f64 x -4/29) 3) y)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series4.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite54.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

851×	`pow1_binary64`
794×	`add-log-exp_binary64`
794×	`log1p-expm1-u_binary64`
794×	`expm1-log1p-u_binary64`
781×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	172	21
2	2094	21

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64/24389 (pow.f64 x 3)) (*.f64 3 y)) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/841) (*.f64 3 y)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 -12/29 (*.f64 3 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 -12/29 (*.f64 3 x)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 -12/29 (*.f64 3 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 -12/29 (*.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64/24389 (pow.f64 x 3)) 3) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 -64/24389 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -12/29 (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -12/29 (*.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -12/29 (*.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -12/29 (*.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (+.f64 x -4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -12/29 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -12/29 (*.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -12/29 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -12/29 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -12/29 (*.f64 3 x))))))))

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

simplify17.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	342
1	33	342
2	60	279
3	96	279
4	102	279

Stop Event

1×

saturated

Counts

112 → 78

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite37.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
511×	`add-log-exp_binary64`
511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
501×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1393	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

35 → 13

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite35.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
511×	`add-log-exp_binary64`
511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
501×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1393	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize14.0ms (0.4%)

Local error

Found 6 expressions with local error:

New	Error	Program
	10.0b	(.f64 y (.f64 3 (*.f64 x x)))
	7.9b	(/.f64 (.f64 y (.f64 3 (*.f64 x x))) (+.f64 x 4/29))
	0.2b	(.f64 3 (.f64 x x))
✓	0.2b	(.f64 3 (.f64 x x))
✓	7.9b	(/.f64 (.f64 y (.f64 3 (*.f64 x x))) (+.f64 x 4/29))
✓	10.0b	(.f64 y (.f64 3 (*.f64 x x)))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series9.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 y (.f64 3 (*.f64 x x)))
1.0ms	y	@	0	(.f64 y (.f64 3 (*.f64 x x)))
1.0ms	y	@	0	(/.f64 (.f64 y (.f64 3 (*.f64 x x))) (+.f64 x 4/29))
1.0ms	y	@	inf	(.f64 y (.f64 3 (*.f64 x x)))
1.0ms	x	@	0	(/.f64 (.f64 y (.f64 3 (*.f64 x x))) (+.f64 x 4/29))

rewrite67.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`log-prod_binary64`
350×	`pow-prod-down_binary64`
284×	`pow2_binary64`
215×	`pow-unpow_binary64`
198×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	222	33
2	3027	33

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 x (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 x (*.f64 3 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 x (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 x (*.f64 3 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 x (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x (*.f64 3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 x (*.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 y 3)) x) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 y 3)) x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 x (*.f64 3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 y 3)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 y 3)) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 x (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 y 3)) x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 x (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 x (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (*.f64 3 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 y 3)) x) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 x (*.f64 3 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 y 3)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (*.f64 3 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 x (*.f64 3 x)))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 3 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 x))))))))

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-def_binary64`
676×	`distribute-lft-out_binary64`
597×	`times-frac_binary64`
475×	`associate-l_binary64`
468×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	744
1	128	744
2	326	729
3	946	701
4	3414	695
5	6685	695

Stop Event

1×	node limit

Counts

162 → 124

Calls

Call 1

Inputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 87/4 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (.f64 87/4 (.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 73167/64 (.f64 y (pow.f64 x 4))) (.f64 87/4 (.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -2121843/256 (.f64 y (pow.f64 x 5))) (+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 73167/64 (.f64 y (pow.f64 x 4))) (.f64 87/4 (.f64 y (pow.f64 x 2))))))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 48/841 (/.f64 y x))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -12/29 y) (*.f64 48/841 (/.f64 y x)))))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 48/841 (/.f64 y x))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -12/29 y) (*.f64 48/841 (/.f64 y x)))))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))

Outputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (*.f64 x x)))
(.f64 3 (.f64 (*.f64 x x) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) (.f64 3 y)))
(/.f64 3 (/.f64 (+.f64 x 4/29) (.f64 y (.f64 x x))))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (*.f64 x x)))
(.f64 3 (.f64 (*.f64 x x) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) (.f64 3 y)))
(/.f64 3 (/.f64 (+.f64 x 4/29) (.f64 y (.f64 x x))))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (*.f64 x x)))
(.f64 3 (.f64 (*.f64 x x) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) (.f64 3 y)))
(/.f64 3 (/.f64 (+.f64 x 4/29) (.f64 y (.f64 x x))))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (*.f64 x x)))
(.f64 3 (.f64 (*.f64 x x) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) (.f64 3 y)))
(/.f64 3 (/.f64 (+.f64 x 4/29) (.f64 y (.f64 x x))))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (*.f64 x x)))
(.f64 3 (.f64 (*.f64 x x) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) (.f64 3 y)))
(/.f64 3 (/.f64 (+.f64 x 4/29) (.f64 y (.f64 x x))))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (*.f64 x x)))
(.f64 3 (.f64 (*.f64 x x) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) (.f64 3 y)))
(/.f64 3 (/.f64 (+.f64 x 4/29) (.f64 y (.f64 x x))))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (*.f64 x x)))
(.f64 3 (.f64 (*.f64 x x) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) (.f64 3 y)))
(/.f64 3 (/.f64 (+.f64 x 4/29) (.f64 y (.f64 x x))))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (*.f64 x x)))
(.f64 3 (.f64 (*.f64 x x) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) (.f64 3 y)))
(/.f64 3 (/.f64 (+.f64 x 4/29) (.f64 y (.f64 x x))))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (*.f64 x x)))
(.f64 3 (.f64 (*.f64 x x) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) (.f64 3 y)))
(/.f64 3 (/.f64 (+.f64 x 4/29) (.f64 y (.f64 x x))))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (*.f64 x x)))
(.f64 3 (.f64 (*.f64 x x) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) (.f64 3 y)))
(/.f64 3 (/.f64 (+.f64 x 4/29) (.f64 y (.f64 x x))))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (*.f64 x x)))
(.f64 3 (.f64 (*.f64 x x) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) (.f64 3 y)))
(/.f64 3 (/.f64 (+.f64 x 4/29) (.f64 y (.f64 x x))))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (.f64 (/.f64 y (+.f64 x 4/29)) (*.f64 x x)))
(.f64 3 (.f64 (*.f64 x x) (/.f64 y (+.f64 x 4/29))))
(/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) (.f64 3 y)))
(/.f64 3 (/.f64 (+.f64 x 4/29) (.f64 y (.f64 x x))))
(.f64 87/4 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 y (*.f64 x x)) 87/4)
(.f64 y (.f64 (*.f64 x x) 87/4))
(.f64 (.f64 x x) (*.f64 y 87/4))
(+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (.f64 87/4 (.f64 y (pow.f64 x 2))))
(fma.f64 -2523/16 (.f64 y (pow.f64 x 3)) (.f64 (.f64 y (.f64 x x)) 87/4))
(fma.f64 (.f64 y (.f64 x x)) 87/4 (.f64 (pow.f64 x 3) (.f64 y -2523/16)))
(.f64 y (+.f64 (.f64 -2523/16 (pow.f64 x 3)) (.f64 x (.f64 x 87/4))))
(.f64 y (.f64 (.f64 x x) (+.f64 (.f64 x -2523/16) 87/4)))
(.f64 y (.f64 x (.f64 x (+.f64 87/4 (.f64 x -2523/16)))))
(+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 73167/64 (.f64 y (pow.f64 x 4))) (.f64 87/4 (.f64 y (pow.f64 x 2)))))
(fma.f64 -2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 73167/64 (.f64 y (pow.f64 x 4)) (.f64 (.f64 y (*.f64 x x)) 87/4)))
(fma.f64 -2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 (.f64 y (.f64 x x)) 87/4 (.f64 (pow.f64 x 4) (*.f64 y 73167/64))))
(fma.f64 y (.f64 73167/64 (pow.f64 x 4)) (.f64 y (+.f64 (.f64 -2523/16 (pow.f64 x 3)) (.f64 x (*.f64 x 87/4)))))
(.f64 y (+.f64 (.f64 x (.f64 x 87/4)) (.f64 (pow.f64 x 3) (+.f64 (*.f64 x 73167/64) -2523/16))))
(.f64 (.f64 y (.f64 x x)) (+.f64 87/4 (.f64 x (+.f64 -2523/16 (*.f64 x 73167/64)))))
(+.f64 (.f64 -2121843/256 (.f64 y (pow.f64 x 5))) (+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 73167/64 (.f64 y (pow.f64 x 4))) (.f64 87/4 (.f64 y (pow.f64 x 2))))))
(fma.f64 -2121843/256 (.f64 y (pow.f64 x 5)) (fma.f64 -2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 73167/64 (.f64 y (pow.f64 x 4)) (.f64 (.f64 y (.f64 x x)) 87/4))))
(fma.f64 -2121843/256 (.f64 y (pow.f64 x 5)) (fma.f64 -2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 (.f64 y (.f64 x x)) 87/4 (.f64 (pow.f64 x 4) (.f64 y 73167/64)))))
(fma.f64 y (.f64 -2523/16 (pow.f64 x 3)) (fma.f64 y (.f64 -2121843/256 (pow.f64 x 5)) (.f64 y (+.f64 (.f64 x (.f64 x 87/4)) (.f64 73167/64 (pow.f64 x 4))))))
(.f64 y (+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 x 73167/64) -2523/16)) (fma.f64 x (.f64 x 87/4) (*.f64 -2121843/256 (pow.f64 x 5)))))
(.f64 y (+.f64 (.f64 -2121843/256 (pow.f64 x 5)) (.f64 (.f64 x x) (+.f64 87/4 (.f64 x (+.f64 -2523/16 (.f64 x 73167/64)))))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 x (.f64 3 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 y -12/29))
(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (.f64 3 x) -12/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 48/841 (/.f64 y x))))
(fma.f64 3 (.f64 y x) (fma.f64 -12/29 y (.f64 48/841 (/.f64 y x))))
(fma.f64 3 (.f64 y x) (fma.f64 y -12/29 (.f64 48/841 (/.f64 y x))))
(fma.f64 48/841 (/.f64 y x) (.f64 y (+.f64 (.f64 3 x) -12/29)))
(fma.f64 y (fma.f64 3 x -12/29) (*.f64 y (/.f64 48/841 x)))
(*.f64 y (+.f64 (/.f64 48/841 x) (fma.f64 3 x -12/29)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -12/29 y) (*.f64 48/841 (/.f64 y x)))))
(fma.f64 3 (.f64 y x) (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (fma.f64 -12/29 y (*.f64 48/841 (/.f64 y x)))))
(fma.f64 3 (.f64 y x) (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (fma.f64 y -12/29 (*.f64 48/841 (/.f64 y x)))))
(fma.f64 3 (.f64 y x) (fma.f64 y -12/29 (.f64 (/.f64 y x) (+.f64 (/.f64 -192/24389 x) 48/841))))
(fma.f64 (/.f64 y x) (+.f64 48/841 (/.f64 -192/24389 x)) (*.f64 y (fma.f64 3 x -12/29)))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 x (.f64 3 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 y -12/29))
(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (.f64 3 x) -12/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 48/841 (/.f64 y x))))
(fma.f64 3 (.f64 y x) (fma.f64 -12/29 y (.f64 48/841 (/.f64 y x))))
(fma.f64 3 (.f64 y x) (fma.f64 y -12/29 (.f64 48/841 (/.f64 y x))))
(fma.f64 48/841 (/.f64 y x) (.f64 y (+.f64 (.f64 3 x) -12/29)))
(fma.f64 y (fma.f64 3 x -12/29) (*.f64 y (/.f64 48/841 x)))
(*.f64 y (+.f64 (/.f64 48/841 x) (fma.f64 3 x -12/29)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -12/29 y) (*.f64 48/841 (/.f64 y x)))))
(fma.f64 3 (.f64 y x) (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (fma.f64 -12/29 y (*.f64 48/841 (/.f64 y x)))))
(fma.f64 3 (.f64 y x) (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (fma.f64 y -12/29 (*.f64 48/841 (/.f64 y x)))))
(fma.f64 3 (.f64 y x) (fma.f64 y -12/29 (.f64 (/.f64 y x) (+.f64 (/.f64 -192/24389 x) 48/841))))
(fma.f64 (/.f64 y x) (+.f64 48/841 (/.f64 -192/24389 x)) (*.f64 y (fma.f64 3 x -12/29)))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))

localize22.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(log.f64 (exp.f64 (+.f64 x -4/29)))
	0.2b	(.f64 3 (.f64 y (log.f64 (exp.f64 (+.f64 x -4/29)))))
	0.1b	(*.f64 y (log.f64 (exp.f64 (+.f64 x -4/29))))
	0.0b	(+.f64 x -4/29)
	0.0b	(+.f64 x -4/29)
✓	0.1b	(*.f64 y (log.f64 (exp.f64 (+.f64 x -4/29))))
✓	0.2b	(.f64 3 (.f64 y (log.f64 (exp.f64 (+.f64 x -4/29)))))
✓	0.5b	(log.f64 (exp.f64 (+.f64 x -4/29)))

Compiler

Compiled 34 to 25 computations (26.5% saved)

series4.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite66.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`pow1_binary64`
865×	`add-log-exp_binary64`
865×	`log1p-expm1-u_binary64`
865×	`expm1-log1p-u_binary64`
850×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	196	21
2	2298	21

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

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

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

simplify31.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

30×	`fma-def_binary64`
11×	`*-commutative_binary64`
9×	`associate-r_binary64`
8×	`associate-l_binary64`
6×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	426
1	31	426
2	58	426
3	96	384
4	102	384

Stop Event

1×

saturated

Counts

132 → 88

Calls

Call 1

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

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

eval191.0ms (4.9%)

Compiler: Compiled 4321 to 3107 computations (28.1% saved)

prune112.0ms (2.9%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	345	3	348
Fresh	4	4	8
Picked	0	1	1
Done	0	7	7
Total	349	15	364

Error

0.0b

Counts

364 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.5b	(.f64 3 (.f64 y x))
✓	24.2b	(.f64 3 (.f64 y (log.f64 (exp.f64 (+.f64 x -4/29)))))
✓	0.4b	(.f64 (.f64 (+.f64 x -4/29) 3) y)
▶	51.0b	(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 x (*.f64 3 x)))
✓	0.4b	(*.f64 (fma.f64 x 3 -12/29) y)
	39.1b	(.f64 (pow.f64 (cbrt.f64 (.f64 3 x)) 3) y)
▶	24.5b	(/.f64 (*.f64 -48/841 y) (+.f64 x 4/29))
▶	0.2b	(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
✓	0.4b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
▶	24.5b	(.f64 3 (.f64 y -4/29))
▶	38.8b	(.f64 y (.f64 3 x))
	24.5b	(.f64 (log1p.f64 (expm1.f64 (+.f64 -12/29 (.f64 3 x)))) y)
✓	38.5b	(.f64 x (.f64 3 y))
✓	24.4b	(*.f64 -12/29 y)
✓	52.1b	(/.f64 (.f64 y (.f64 3 (*.f64 x x))) (+.f64 x 4/29))

Compiler

Compiled 205 to 156 computations (23.9% saved)

localize10.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.3b	(.f64 3 (.f64 y x))
	0.1b	(*.f64 -12/29 y)
	0.0b	(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
✓	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))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series3.0ms (0.1%)

Counts

1 → 15

Calls

6 calls:

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

rewrite85.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	193	11
2	2482	11

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify23.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

215×	`fma-def_binary64`
173×	`fma-neg_binary64`
48×	`cancel-sign-sub-inv_binary64`
39×	`distribute-rgt-neg-in_binary64`
32×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	114
1	41	114
2	105	114
3	201	114
4	261	114
5	397	114
6	649	114
7	891	114
8	988	114
9	994	114

Stop Event

1×

saturated

Counts

54 → 46

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

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.4b	(.f64 y (.f64 3 x))
✓	0.4b	(.f64 y (.f64 3 x))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite38.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
511×	`add-log-exp_binary64`
511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
501×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1393	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

35 → 13

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite44.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	96
1	8	96

Stop Event

1×

saturated

Counts

46 → 25

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 (*.f64 -48/841 y) (+.f64 x 4/29))
1.0ms	y	@	-inf	(/.f64 (*.f64 -48/841 y) (+.f64 x 4/29))
1.0ms	y	@	inf	(/.f64 (*.f64 -48/841 y) (+.f64 x 4/29))
0.0ms	x	@	inf	(/.f64 (*.f64 -48/841 y) (+.f64 x 4/29))
0.0ms	x	@	0	(/.f64 (*.f64 -48/841 y) (+.f64 x 4/29))

rewrite62.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`unpow-prod-down_binary64`
432×	`log-prod_binary64`
337×	`exp-prod_binary64`
233×	`pow2_binary64`
220×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	179	14
2	2401	14

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (/.f64 1 (/.f64 (+.f64 x 4/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (*.f64 y (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (pow.f64 (/.f64 y (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (pow.f64 (/.f64 1 (/.f64 (+.f64 x 4/29) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 -48/841 (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 (*.f64 -48/841 (/.f64 1 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -48/841 y) (/.f64 1 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y)) -2)) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 -48/841 y) 2)) (*.f64 (cbrt.f64 (*.f64 -48/841 y)) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -48/841 y)) (*.f64 (sqrt.f64 (*.f64 -48/841 y)) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 48/841) (/.f64 1 (+.f64 -4/29 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 48/841) (pow.f64 (/.f64 1 (+.f64 -4/29 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 4/29)) (*.f64 -48/841 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 4/29)) (pow.f64 (/.f64 1 (*.f64 -48/841 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 -48/841 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -48/841 (+.f64 x 4/29)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 -48/841 y) 2)) 1) (/.f64 (cbrt.f64 (*.f64 -48/841 y)) (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -48/841 y)) 1) (/.f64 (sqrt.f64 (*.f64 -48/841 y)) (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -48/841 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 y (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 -48/841 (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) -2) (/.f64 (*.f64 -48/841 y) (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 -48/841 y) 2)) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -48/841 y)) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 (sqrt.f64 (*.f64 -48/841 y)) (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -48/841 (sqrt.f64 (+.f64 x 4/29))) (/.f64 y (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (+.f64 x 4/29))) (/.f64 -48/841 (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 4/29) -1/2) (/.f64 (*.f64 -48/841 y) (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 -48/841 y) 2)) (sqrt.f64 (+.f64 x 4/29))) (/.f64 (cbrt.f64 (*.f64 -48/841 y)) (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -48/841 y) (+.f64 64/24389 (pow.f64 x 3))) (-.f64 (fma.f64 x x 16/841) (*.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -48/841 y) (fma.f64 x x -16/841)) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y 1) 1) (pow.f64 (/.f64 -48/841 (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -48/841 (+.f64 x 4/29)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 -48/841 y) 2)) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 -48/841 y)) (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -48/841 y)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 -48/841 y)) (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -48/841 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) 1) (pow.f64 (/.f64 y (cbrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) 1) (pow.f64 (/.f64 -48/841 (cbrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) -2) 1) (pow.f64 (/.f64 (*.f64 -48/841 y) (cbrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 -48/841 y) 2)) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) 1) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 -48/841 y)) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 -48/841 y)) (cbrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -48/841 (sqrt.f64 (+.f64 x 4/29))) 1) (pow.f64 (/.f64 y (sqrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (sqrt.f64 (+.f64 x 4/29))) 1) (pow.f64 (/.f64 -48/841 (sqrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x 4/29) -1/2) 1) (pow.f64 (/.f64 (*.f64 -48/841 y) (sqrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 -48/841 y) 2)) (sqrt.f64 (+.f64 x 4/29))) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 -48/841 y)) (sqrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 -48/841 y) (+.f64 64/24389 (pow.f64 x 3))) 1) (-.f64 (fma.f64 x x 16/841) (*.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 -48/841 y) (fma.f64 x x -16/841)) 1) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y)) -2) (*.f64 -48/841 y)) 1/3) (cbrt.f64 (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 2) 3) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y))) 2) -1) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) -48/841) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 4/29)) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) -48/841) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) y) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) -48/841) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 y) -1) (pow.f64 (/.f64 (+.f64 x 4/29) -48/841) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) y) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 4/29)) -48/841) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 4/29)) (*.f64 -48/841 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (*.f64 -48/841 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -48/841 y)) -2) -1) (pow.f64 (/.f64 (+.f64 x 4/29) (cbrt.f64 (*.f64 -48/841 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (cbrt.f64 (pow.f64 (*.f64 -48/841 y) 2))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 4/29)) (cbrt.f64 (*.f64 -48/841 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (cbrt.f64 (pow.f64 (*.f64 -48/841 y) 2))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (cbrt.f64 (*.f64 -48/841 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 -48/841 y) -1/2) -1) (pow.f64 (/.f64 (+.f64 x 4/29) (sqrt.f64 (*.f64 -48/841 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (sqrt.f64 (*.f64 -48/841 y))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 4/29)) (sqrt.f64 (*.f64 -48/841 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (sqrt.f64 (*.f64 -48/841 y))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (sqrt.f64 (*.f64 -48/841 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 -48/841 y) 3) (pow.f64 (+.f64 x 4/29) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 2)) (cbrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))) (sqrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -48/841 y) (+.f64 -4/29 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -48/841 y) 3) (pow.f64 (+.f64 x 4/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 -48/841 y)) 1) (log.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 -48/841 y)) (*.f64 (log.f64 (+.f64 x 4/29)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 -48/841 y)) 1) (*.f64 (log.f64 (+.f64 x 4/29)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))))

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

simplify96.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

769×	`distribute-lft-out_binary64`
712×	`fma-def_binary64`
656×	`associate-/l*_binary64`
533×	`associate-/l/_binary64`
495×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	363
1	111	363
2	289	336
3	883	313
4	3237	312
5	7513	312

Stop Event

1×	node limit

Counts

151 → 144

Calls

Call 1

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

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

localize16.0ms (0.4%)

Local error

Found 6 expressions with local error:

New	Error	Program
	17.1b	(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 x (*.f64 3 x)))
	0.1b	(.f64 x (.f64 3 x))
	0.0b	(/.f64 y (+.f64 x 4/29))
✓	0.0b	(/.f64 y (+.f64 x 4/29))
✓	0.1b	(.f64 x (.f64 3 x))
✓	17.1b	(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 x (*.f64 3 x)))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series5.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite100.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log-prod_binary64`
430×	`exp-prod_binary64`
381×	`pow-prod-down_binary64`
288×	`pow2_binary64`
234×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	221	30
2	2918	30

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

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

Outputs

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

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

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

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

662×	`associate-/l/_binary64`
619×	`associate-l_binary64`
596×	`distribute-rgt-out_binary64`
548×	`associate-*l/_binary64`
461×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	71	819
1	189	807
2	514	779
3	1590	756
4	4758	754

Stop Event

1×	node limit

Counts

168 → 144

Calls

Call 1

Inputs
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 87/4 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (.f64 87/4 (.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 73167/64 (.f64 y (pow.f64 x 4))) (.f64 87/4 (.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -2121843/256 (.f64 y (pow.f64 x 5))) (+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 73167/64 (.f64 y (pow.f64 x 4))) (.f64 87/4 (.f64 y (pow.f64 x 2))))))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 48/841 (/.f64 y x))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -12/29 y) (*.f64 48/841 (/.f64 y x)))))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 48/841 (/.f64 y x))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -12/29 y) (*.f64 48/841 (/.f64 y x)))))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 4/29 x))
(*.f64 29/4 y)
(+.f64 (.f64 29/4 y) (.f64 -841/16 (*.f64 y x)))
(+.f64 (.f64 29/4 y) (+.f64 (.f64 -841/16 (.f64 y x)) (.f64 24389/64 (*.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -707281/256 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 29/4 y) (+.f64 (.f64 -841/16 (.f64 y x)) (.f64 24389/64 (*.f64 y (pow.f64 x 2))))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (.f64 -4/29 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -64/24389 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (.f64 -4/29 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -64/24389 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))))

Outputs
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 3 (*.f64 x x)))
(.f64 3 (/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) y)))
(.f64 3 (.f64 y (*.f64 (/.f64 x (+.f64 x 4/29)) x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 3 (*.f64 x x)))
(.f64 3 (/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) y)))
(.f64 3 (.f64 y (*.f64 (/.f64 x (+.f64 x 4/29)) x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 3 (*.f64 x x)))
(.f64 3 (/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) y)))
(.f64 3 (.f64 y (*.f64 (/.f64 x (+.f64 x 4/29)) x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 3 (*.f64 x x)))
(.f64 3 (/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) y)))
(.f64 3 (.f64 y (*.f64 (/.f64 x (+.f64 x 4/29)) x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 3 (*.f64 x x)))
(.f64 3 (/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) y)))
(.f64 3 (.f64 y (*.f64 (/.f64 x (+.f64 x 4/29)) x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 3 (*.f64 x x)))
(.f64 3 (/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) y)))
(.f64 3 (.f64 y (*.f64 (/.f64 x (+.f64 x 4/29)) x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 3 (*.f64 x x)))
(.f64 3 (/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) y)))
(.f64 3 (.f64 y (*.f64 (/.f64 x (+.f64 x 4/29)) x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 3 (*.f64 x x)))
(.f64 3 (/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) y)))
(.f64 3 (.f64 y (*.f64 (/.f64 x (+.f64 x 4/29)) x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 3 (*.f64 x x)))
(.f64 3 (/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) y)))
(.f64 3 (.f64 y (*.f64 (/.f64 x (+.f64 x 4/29)) x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 3 (*.f64 x x)))
(.f64 3 (/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) y)))
(.f64 3 (.f64 y (*.f64 (/.f64 x (+.f64 x 4/29)) x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 3 (*.f64 x x)))
(.f64 3 (/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) y)))
(.f64 3 (.f64 y (*.f64 (/.f64 x (+.f64 x 4/29)) x)))
(.f64 3 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 4/29 x)))
(.f64 3 (/.f64 (.f64 y (*.f64 x x)) (+.f64 x 4/29)))
(.f64 3 (/.f64 y (/.f64 (+.f64 x 4/29) (.f64 x x))))
(.f64 (/.f64 y (+.f64 x 4/29)) (.f64 3 (*.f64 x x)))
(.f64 3 (/.f64 (.f64 x x) (/.f64 (+.f64 x 4/29) y)))
(.f64 3 (.f64 y (*.f64 (/.f64 x (+.f64 x 4/29)) x)))
(.f64 87/4 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 y (*.f64 x x)) 87/4)
(.f64 y (.f64 (*.f64 x x) 87/4))
(.f64 x (.f64 y (*.f64 87/4 x)))
(.f64 y (.f64 x (*.f64 x 87/4)))
(+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (.f64 87/4 (.f64 y (pow.f64 x 2))))
(fma.f64 -2523/16 (.f64 y (pow.f64 x 3)) (.f64 (.f64 y (.f64 x x)) 87/4))
(fma.f64 (.f64 y 87/4) (.f64 x x) (.f64 (pow.f64 x 3) (.f64 y -2523/16)))
(.f64 (.f64 x x) (+.f64 (.f64 y 87/4) (.f64 y (*.f64 -2523/16 x))))
(.f64 (.f64 y (.f64 x x)) (+.f64 (.f64 x -2523/16) 87/4))
(.f64 y (.f64 x (.f64 x (+.f64 (.f64 x -2523/16) 87/4))))
(+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 73167/64 (.f64 y (pow.f64 x 4))) (.f64 87/4 (.f64 y (pow.f64 x 2)))))
(fma.f64 -2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 73167/64 (.f64 y (pow.f64 x 4)) (.f64 (.f64 y (*.f64 x x)) 87/4)))
(fma.f64 -2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 (.f64 y (.f64 x x)) 87/4 (.f64 (pow.f64 x 4) (*.f64 y 73167/64))))
(fma.f64 (pow.f64 x 4) (.f64 y 73167/64) (.f64 (.f64 x x) (+.f64 (.f64 y 87/4) (.f64 y (.f64 -2523/16 x)))))
(.f64 y (+.f64 (.f64 x (.f64 x 87/4)) (.f64 (pow.f64 x 3) (+.f64 -2523/16 (*.f64 x 73167/64)))))
(+.f64 (.f64 -2121843/256 (.f64 y (pow.f64 x 5))) (+.f64 (.f64 -2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 73167/64 (.f64 y (pow.f64 x 4))) (.f64 87/4 (.f64 y (pow.f64 x 2))))))
(fma.f64 -2121843/256 (.f64 y (pow.f64 x 5)) (fma.f64 -2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 73167/64 (.f64 y (pow.f64 x 4)) (.f64 (.f64 y (.f64 x x)) 87/4))))
(fma.f64 -2121843/256 (.f64 y (pow.f64 x 5)) (fma.f64 -2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 (.f64 y (.f64 x x)) 87/4 (.f64 (pow.f64 x 4) (.f64 y 73167/64)))))
(fma.f64 y (.f64 -2121843/256 (pow.f64 x 5)) (fma.f64 (pow.f64 x 4) (.f64 y 73167/64) (.f64 (.f64 x x) (+.f64 (.f64 y 87/4) (.f64 y (*.f64 -2523/16 x))))))
(.f64 y (+.f64 (.f64 (pow.f64 x 3) (+.f64 -2523/16 (.f64 x 73167/64))) (+.f64 (.f64 x (.f64 x 87/4)) (.f64 -2121843/256 (pow.f64 x 5)))))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 y -12/29))
(.f64 y (+.f64 (.f64 3 x) -12/29))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 48/841 (/.f64 y x))))
(fma.f64 3 (.f64 y x) (fma.f64 -12/29 y (.f64 48/841 (/.f64 y x))))
(fma.f64 3 (*.f64 y x) (fma.f64 y -12/29 (/.f64 48/841 (/.f64 x y))))
(fma.f64 48/841 (/.f64 y x) (.f64 y (+.f64 (.f64 3 x) -12/29)))
(fma.f64 3 (.f64 y x) (.f64 y (+.f64 -12/29 (/.f64 48/841 x))))
(.f64 y (+.f64 (+.f64 -12/29 (.f64 3 x)) (/.f64 48/841 x)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -12/29 y) (*.f64 48/841 (/.f64 y x)))))
(fma.f64 3 (.f64 y x) (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (fma.f64 -12/29 y (*.f64 48/841 (/.f64 y x)))))
(fma.f64 3 (.f64 y x) (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (fma.f64 y -12/29 (/.f64 48/841 (/.f64 x y)))))
(fma.f64 3 (.f64 y x) (fma.f64 y -12/29 (.f64 (/.f64 y x) (+.f64 (/.f64 -192/24389 x) 48/841))))
(fma.f64 3 (.f64 y x) (fma.f64 y -12/29 (.f64 (/.f64 y x) (+.f64 48/841 (/.f64 -192/24389 x)))))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 y -12/29))
(.f64 y (+.f64 (.f64 3 x) -12/29))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 48/841 (/.f64 y x))))
(fma.f64 3 (.f64 y x) (fma.f64 -12/29 y (.f64 48/841 (/.f64 y x))))
(fma.f64 3 (*.f64 y x) (fma.f64 y -12/29 (/.f64 48/841 (/.f64 x y))))
(fma.f64 48/841 (/.f64 y x) (.f64 y (+.f64 (.f64 3 x) -12/29)))
(fma.f64 3 (.f64 y x) (.f64 y (+.f64 -12/29 (/.f64 48/841 x))))
(.f64 y (+.f64 (+.f64 -12/29 (.f64 3 x)) (/.f64 48/841 x)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -12/29 y) (*.f64 48/841 (/.f64 y x)))))
(fma.f64 3 (.f64 y x) (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (fma.f64 -12/29 y (*.f64 48/841 (/.f64 y x)))))
(fma.f64 3 (.f64 y x) (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (fma.f64 y -12/29 (/.f64 48/841 (/.f64 x y)))))
(fma.f64 3 (.f64 y x) (fma.f64 y -12/29 (.f64 (/.f64 y x) (+.f64 (/.f64 -192/24389 x) 48/841))))
(fma.f64 3 (.f64 y x) (fma.f64 y -12/29 (.f64 (/.f64 y x) (+.f64 48/841 (/.f64 -192/24389 x)))))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(/.f64 y (+.f64 4/29 x))
(/.f64 y (+.f64 x 4/29))
(*.f64 29/4 y)
(*.f64 y 29/4)
(+.f64 (.f64 29/4 y) (.f64 -841/16 (*.f64 y x)))
(fma.f64 29/4 y (.f64 (.f64 y x) -841/16))
(fma.f64 y 29/4 (.f64 y (.f64 x -841/16)))
(.f64 y (+.f64 29/4 (.f64 x -841/16)))
(+.f64 (.f64 29/4 y) (+.f64 (.f64 -841/16 (.f64 y x)) (.f64 24389/64 (*.f64 y (pow.f64 x 2)))))
(fma.f64 29/4 y (fma.f64 -841/16 (.f64 y x) (.f64 (.f64 y (.f64 x x)) 24389/64)))
(fma.f64 y 29/4 (fma.f64 (.f64 y (.f64 x x)) 24389/64 (.f64 y (.f64 x -841/16))))
(fma.f64 y 29/4 (.f64 x (+.f64 (.f64 y -841/16) (.f64 y (.f64 24389/64 x)))))
(.f64 y (+.f64 29/4 (.f64 x (+.f64 -841/16 (*.f64 x 24389/64)))))
(.f64 y (+.f64 29/4 (.f64 x (+.f64 (*.f64 x 24389/64) -841/16))))
(+.f64 (.f64 -707281/256 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 29/4 y) (+.f64 (.f64 -841/16 (.f64 y x)) (.f64 24389/64 (*.f64 y (pow.f64 x 2))))))
(fma.f64 -707281/256 (.f64 y (pow.f64 x 3)) (fma.f64 29/4 y (fma.f64 -841/16 (.f64 y x) (.f64 (.f64 y (*.f64 x x)) 24389/64))))
(fma.f64 (.f64 y (pow.f64 x 3)) -707281/256 (fma.f64 y 29/4 (fma.f64 (.f64 y (.f64 x x)) 24389/64 (.f64 y (*.f64 x -841/16)))))
(fma.f64 y 29/4 (fma.f64 y (.f64 (pow.f64 x 3) -707281/256) (.f64 x (+.f64 (.f64 y -841/16) (.f64 y (*.f64 24389/64 x))))))
(.f64 y (+.f64 (+.f64 29/4 (.f64 x -841/16)) (.f64 (.f64 x x) (+.f64 24389/64 (*.f64 x -707281/256)))))
(.f64 y (+.f64 (.f64 x (+.f64 (.f64 x 24389/64) -841/16)) (+.f64 29/4 (.f64 (pow.f64 x 3) -707281/256))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) -4/29))
(fma.f64 (/.f64 y (*.f64 x x)) -4/29 (/.f64 y x))
(*.f64 (+.f64 (/.f64 -4/29 x) 1) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 1 (/.f64 -4/29 x)))
(+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (.f64 -4/29 (/.f64 y (pow.f64 x 2)))))
(fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) -4/29)))
(fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (fma.f64 (/.f64 y (*.f64 x x)) -4/29 (/.f64 y x)))
(+.f64 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 16/841 x) -4/29)))
(+.f64 (/.f64 y x) (/.f64 (.f64 y (+.f64 -4/29 (/.f64 16/841 x))) (.f64 x x)))
(+.f64 (/.f64 y x) (/.f64 (*.f64 (/.f64 y x) (+.f64 -4/29 (/.f64 16/841 x))) x))
(+.f64 (.f64 -64/24389 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -64/24389 (/.f64 y (pow.f64 x 4)) (fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) -4/29))))
(fma.f64 -64/24389 (/.f64 y (pow.f64 x 4)) (fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (fma.f64 (/.f64 y (*.f64 x x)) -4/29 (/.f64 y x))))
(fma.f64 -64/24389 (/.f64 y (pow.f64 x 4)) (+.f64 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 16/841 x) -4/29))))
(+.f64 (.f64 (/.f64 y x) (+.f64 1 (/.f64 -4/29 x))) (.f64 (/.f64 y (pow.f64 x 3)) (+.f64 16/841 (/.f64 -64/24389 x))))
(+.f64 (.f64 (/.f64 y x) (+.f64 1 (/.f64 -4/29 x))) (.f64 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 -64/24389 x) 16/841)))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) -4/29))
(fma.f64 (/.f64 y (*.f64 x x)) -4/29 (/.f64 y x))
(*.f64 (+.f64 (/.f64 -4/29 x) 1) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 1 (/.f64 -4/29 x)))
(+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (.f64 -4/29 (/.f64 y (pow.f64 x 2)))))
(fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) -4/29)))
(fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (fma.f64 (/.f64 y (*.f64 x x)) -4/29 (/.f64 y x)))
(+.f64 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 16/841 x) -4/29)))
(+.f64 (/.f64 y x) (/.f64 (.f64 y (+.f64 -4/29 (/.f64 16/841 x))) (.f64 x x)))
(+.f64 (/.f64 y x) (/.f64 (*.f64 (/.f64 y x) (+.f64 -4/29 (/.f64 16/841 x))) x))
(+.f64 (.f64 -64/24389 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 16/841 (/.f64 y (pow.f64 x 3))) (+.f64 (/.f64 y x) (*.f64 -4/29 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -64/24389 (/.f64 y (pow.f64 x 4)) (fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) -4/29))))
(fma.f64 -64/24389 (/.f64 y (pow.f64 x 4)) (fma.f64 16/841 (/.f64 y (pow.f64 x 3)) (fma.f64 (/.f64 y (*.f64 x x)) -4/29 (/.f64 y x))))
(fma.f64 -64/24389 (/.f64 y (pow.f64 x 4)) (+.f64 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 16/841 x) -4/29))))
(+.f64 (.f64 (/.f64 y x) (+.f64 1 (/.f64 -4/29 x))) (.f64 (/.f64 y (pow.f64 x 3)) (+.f64 16/841 (/.f64 -64/24389 x))))
(+.f64 (.f64 (/.f64 y x) (+.f64 1 (/.f64 -4/29 x))) (.f64 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 -64/24389 x) 16/841)))

eval151.0ms (3.9%)

Compiler: Compiled 5859 to 4207 computations (28.2% saved)

prune66.0ms (1.7%)

Pruning

17 alts after pruning (5 fresh and 12 done)

	Pruned	Kept	Total
New	404	4	408
Fresh	1	1	2
Picked	1	0	1
Done	0	12	12
Total	406	17	423

Error

Counts

423 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.5b	(.f64 3 (.f64 y -4/29))
	40.4b	(/.f64 (+.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (.f64 (pow.f64 y 3) -1728/24389)) (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 (.f64 y -12/29) (-.f64 (.f64 y -12/29) (.f64 x (.f64 3 y))))))
	51.2b	(.f64 (/.f64 y x) (.f64 x (*.f64 3 x)))
✓	38.5b	(.f64 3 (.f64 y x))
✓	24.2b	(.f64 3 (.f64 y (log.f64 (exp.f64 (+.f64 x -4/29)))))
✓	52.1b	(/.f64 (.f64 y (.f64 3 (*.f64 x x))) (+.f64 x 4/29))
	24.5b	(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
✓	0.4b	(*.f64 (fma.f64 x 3 -12/29) y)
	39.1b	(.f64 (pow.f64 (cbrt.f64 (.f64 3 x)) 3) y)
✓	24.5b	(/.f64 (*.f64 -48/841 y) (+.f64 x 4/29))
✓	0.2b	(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
✓	0.4b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	38.8b	(.f64 y (.f64 3 x))
✓	38.5b	(.f64 x (.f64 3 y))
✓	24.4b	(*.f64 -12/29 y)
✓	0.4b	(.f64 (.f64 (+.f64 x -4/29) 3) y)
	24.5b	(pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y)) -1)

Compiler

Compiled 181 to 137 computations (24.3% saved)

regimes27.0ms (0.7%)

Counts

17 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y -4/29))
(.f64 (.f64 (+.f64 x -4/29) 3) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(/.f64 (*.f64 -48/841 y) (+.f64 x 4/29))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (/.f64 y x) (.f64 x (*.f64 3 x)))
(/.f64 (.f64 y (.f64 3 (*.f64 x x))) (+.f64 x 4/29))
(*.f64 (fma.f64 x 3 -12/29) y)
(pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 -48/841 y)) -1)
(.f64 (pow.f64 (cbrt.f64 (.f64 3 x)) 3) y)
(.f64 3 (.f64 y (log.f64 (exp.f64 (+.f64 x -4/29)))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (.f64 (pow.f64 y 3) -1728/24389)) (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 (.f64 y -12/29) (-.f64 (.f64 y -12/29) (.f64 x (.f64 3 y))))))

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

Calls

2 calls:

9.0ms	y
9.0ms	x

Results

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

Compiler

Compiled 155 to 107 computations (31% saved)

regimes14.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	y
6.0ms	x

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`

Compiler

Compiled 59 to 41 computations (30.5% saved)

regimes42.0ms (1.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	y
12.0ms	x

Results

Error	Segments	Branch
1.5b	3	`x`
18.4b	7	`y`

Compiler

Compiled 31 to 21 computations (32.3% saved)

bsearch37.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.11673240549718435	108428285.92915177
19.0ms	-4588977746.223591	-2.2039362073922085e-9

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes56.0ms (1.4%)

Accuracy

Total -59.9b remaining (-3919.6%)

Threshold costs -59.9b (-3919.6%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

44.0ms	y
11.0ms	x

Results

Error	Segments	Branch
1.5b	3	`x`
18.4b	7	`y`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch41.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	0.11673240549718435	108428285.92915177
19.0ms	-4588977746.223591	-2.2039362073922085e-9

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	87
1	32	87

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 (+.f64 x -4/29) 3) y)
(if (<=.f64 x -1202972982306037/262144) (.f64 3 (.f64 y x)) (if (<=.f64 x 2153332809315045632/18446744073709551616) (.f64 -12/29 y) (.f64 x (*.f64 3 y))))
(if (<=.f64 x -1202972982306037/262144) (.f64 x (.f64 3 y)) (if (<=.f64 x 2153332809315045632/18446744073709551616) (.f64 -12/29 y) (.f64 x (*.f64 3 y))))
(*.f64 -12/29 y)

Outputs
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 y -12/29))
(.f64 (.f64 (+.f64 x -4/29) 3) y)
(.f64 y (.f64 3 (+.f64 x -4/29)))
(if (<=.f64 x -1202972982306037/262144) (.f64 3 (.f64 y x)) (if (<=.f64 x 2153332809315045632/18446744073709551616) (.f64 -12/29 y) (.f64 x (*.f64 3 y))))
(if (<=.f64 x -1202972982306037/262144) (.f64 3 (.f64 y x)) (if (<=.f64 x 8411456286386897/72057594037927936) (.f64 y -12/29) (.f64 x (*.f64 3 y))))
(if (<=.f64 x -1202972982306037/262144) (.f64 x (.f64 3 y)) (if (<=.f64 x 2153332809315045632/18446744073709551616) (.f64 -12/29 y) (.f64 x (*.f64 3 y))))
(if (<=.f64 x -1202972982306037/262144) (.f64 x (.f64 3 y)) (if (<=.f64 x 8411456286386897/72057594037927936) (.f64 y -12/29) (.f64 x (*.f64 3 y))))
(*.f64 -12/29 y)
(*.f64 y -12/29)

end73.0ms (1.9%)

Stop Event

1×

fuel

Compiler

Compiled 134 to 93 computations (30.6% saved)

Iter	Nodes	Cost
0	18	114
1	41	114
2	105	114
3	201	114
4	261	114
5	397	114
6	649	114
7	891	114
8	988	114
9	994	114

Iter	Nodes	Cost
0	18	114
1	41	114
2	105	114
3	201	114
4	261	114
5	397	114
6	649	114
7	891	114
8	988	114
9	994	114

Iter	Nodes	Cost
0	18	114
1	41	114
2	105	114
3	201	114
4	261	114
5	397	114
6	649	114
7	891	114
8	988	114
9	994	114