Details

analyze60.0ms (1.7%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample887.0ms (24.9%)

Results

861.0ms	8256×	body	256	valid
14.0ms	166×	body	256	infinite

Bogosity

preprocess25.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 31 to 23 computations (25.8% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	3	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

0.0b

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.f64 (fma.f64 x 3 -12/29) y)
▶	0.1b	(.f64 (+.f64 (.f64 x 3) -12/29) y)
▶	0.2b	(.f64 (+.f64 x -4/29) (.f64 3 y))

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`pow1_binary64`
796×	`add-log-exp_binary64`
796×	`log1p-expm1-u_binary64`
796×	`expm1-log1p-u_binary64`
783×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	172	10
2	2096	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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 -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 -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 /.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 3) y) (+.f64 x -4/29)))))) (#(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 x -4/29) 3) (pow.f64 (.f64 3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 3 y) 3) (pow.f64 (+.f64 x -4/29) 3)))))) (#(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 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))))))))

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

simplify39.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

783×	`log-prod_binary64`
752×	`fma-def_binary64`
724×	`associate-l_binary64`
664×	`associate-r_binary64`
240×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	484
1	198	484
2	681	404
3	4588	400

Stop Event

1×	node limit

Counts

45 → 38

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)))
(+.f64 (.f64 x (.f64 3 y)) (.f64 -4/29 (.f64 3 y)))
(+.f64 (.f64 -4/29 (.f64 3 y)) (.f64 x (.f64 3 y)))
(+.f64 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))
(+.f64 (.f64 (.f64 3 y) -4/29) (.f64 (.f64 3 y) x))
(-.f64 (+.f64 1 (.f64 (+.f64 x -4/29) (.f64 3 y))) 1)
(/.f64 (.f64 (+.f64 -64/24389 (pow.f64 x 3)) (.f64 3 y)) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))
(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
(/.f64 (.f64 (.f64 3 y) (+.f64 -64/24389 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))
(/.f64 (.f64 (.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 1)
(pow.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 3)
(pow.f64 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 2)
(sqrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) (+.f64 x -4/29)))
(cbrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 x -4/29) 3) (pow.f64 (.f64 3 y) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 y) 3) (pow.f64 (+.f64 x -4/29) 3)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))
(exp.f64 (log.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))

Outputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.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))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.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))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 x (.f64 3 y)) (.f64 -4/29 (.f64 3 y)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 -4/29 (.f64 3 y)) (.f64 x (.f64 3 y)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (.f64 3 y) -4/29) (.f64 (.f64 3 y) x))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (+.f64 1 (.f64 (+.f64 x -4/29) (.f64 3 y))) 1)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (.f64 (+.f64 -64/24389 (pow.f64 x 3)) (.f64 3 y)) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))
(/.f64 (.f64 y 3) (/.f64 (fma.f64 x x (-.f64 16/841 (.f64 x -4/29))) (+.f64 -64/24389 (pow.f64 x 3))))
(.f64 (/.f64 (.f64 y 3) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (+.f64 -64/24389 (pow.f64 x 3)))
(.f64 (.f64 y 3) (/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x x (fma.f64 x 4/29 16/841))))
(*.f64 (/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x 4/29 (fma.f64 x x 16/841))) y)
(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (*.f64 y 3)))
(.f64 (/.f64 (.f64 y 3) (+.f64 x 4/29)) (fma.f64 x x -16/841))
(*.f64 (fma.f64 x x -16/841) (/.f64 y (/.f64 (+.f64 x 4/29) 3)))
(.f64 (fma.f64 x x -16/841) (.f64 (/.f64 3 (+.f64 x 4/29)) y))
(/.f64 (.f64 (.f64 3 y) (+.f64 -64/24389 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))
(/.f64 (.f64 y 3) (/.f64 (fma.f64 x x (-.f64 16/841 (.f64 x -4/29))) (+.f64 -64/24389 (pow.f64 x 3))))
(.f64 (/.f64 (.f64 y 3) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (+.f64 -64/24389 (pow.f64 x 3)))
(.f64 (.f64 y 3) (/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x x (fma.f64 x 4/29 16/841))))
(*.f64 (/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x 4/29 (fma.f64 x x 16/841))) y)
(/.f64 (.f64 (.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (*.f64 y 3)))
(.f64 (/.f64 (.f64 y 3) (+.f64 x 4/29)) (fma.f64 x x -16/841))
(*.f64 (fma.f64 x x -16/841) (/.f64 y (/.f64 (+.f64 x 4/29) 3)))
(.f64 (fma.f64 x x -16/841) (.f64 (/.f64 3 (+.f64 x 4/29)) y))
(pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 1)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 3) 1/3)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 3)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 2)
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(sqrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 2))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) (+.f64 x -4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(cbrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 3))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(cbrt.f64 (.f64 (pow.f64 (+.f64 x -4/29) 3) (pow.f64 (.f64 3 y) 3)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 y) 3) (pow.f64 (+.f64 x -4/29) 3)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(expm1.f64 (log1p.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(log1p.f64 (expm1.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(exp.f64 (log.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

series6.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

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

rewrite47.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`pow1_binary64`
777×	`add-log-exp_binary64`
777×	`log1p-expm1-u_binary64`
777×	`expm1-log1p-u_binary64`
764×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	171	13
2	2056	13

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 x 3) -12/29) y)
(+.f64 (*.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 -12/29 y) (.f64 (.f64 x 3) 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 y -12/29) (.f64 y (.f64 x 3)))))) (#(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 /.f64 (.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) y) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 (.f64 x x) 9) -144/841) y) (fma.f64 x 3 12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27))) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (+.f64 (.f64 (.f64 x x) 9) -144/841)) (fma.f64 x 3 12/29))))) (#(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) 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 (fma.f64 x 3 -12/29)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 x 3 -12/29) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 3 -12/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 3 -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 x x) 9) (fma.f64 x 3 12/29)) (/.f64 144/841 (fma.f64 x 3 12/29)))))) (#(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 -1728/24389 (.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (.f64 x x) 9) -144/841) (/.f64 1 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))) (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 3 12/29) (+.f64 (.f64 (.f64 x x) 9) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) (+.f64 144/841 (-.f64 (.f64 (.f64 x x) 9) (.f64 x -36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 x x) 9) -144/841) (fma.f64 x 3 12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27))) (neg.f64 (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 9) -144/841)) (neg.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 144/841 (.f64 (.f64 x x) 9)) (-.f64 -12/29 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 -12/29)))))) (#(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 fma.f64 1 (.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (cbrt.f64 (.f64 x 3)) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 (*.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 -12/29 y) (*.f64 (*.f64 x 3) 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 y -12/29) (*.f64 y (*.f64 x 3)))))) (#(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 /.f64 (*.f64 (+.f64 -1728/24389 (*.f64 (pow.f64 x 3) 27)) y) (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) 9) -144/841) y) (fma.f64 x 3 12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 -1728/24389 (*.f64 (pow.f64 x 3) 27))) (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x x) 9) -144/841)) (fma.f64 x 3 12/29))))) (#(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) 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 (fma.f64 x 3 -12/29)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 3 -12/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 3 -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 9) (fma.f64 x 3 12/29)) (/.f64 144/841 (fma.f64 x 3 12/29)))))) (#(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 -1728/24389 (*.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 9) -144/841) (/.f64 1 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))) (+.f64 -1728/24389 (*.f64 (pow.f64 x 3) 27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 3 12/29) (+.f64 (*.f64 (*.f64 x x) 9) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1728/24389 (*.f64 (pow.f64 x 3) 27)) (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1728/24389 (*.f64 (pow.f64 x 3) 27)) (+.f64 144/841 (-.f64 (*.f64 (*.f64 x x) 9) (*.f64 x -36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 9) -144/841) (fma.f64 x 3 12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1728/24389 (*.f64 (pow.f64 x 3) 27))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 9) -144/841)) (neg.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 144/841 (*.f64 (*.f64 x x) 9)) (-.f64 -12/29 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 -12/29)))))) (#(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 fma.f64 1 (*.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 x 3)) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) -12/29)))))

simplify64.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

370×	`associate-/l*_binary64`
357×	`log-prod_binary64`
341×	`times-frac_binary64`
339×	`fma-neg_binary64`
334×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	864
1	319	828
2	1084	788
3	4232	746

Stop Event

1×	node limit

Counts

89 → 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 (-.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)
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(+.f64 (.f64 -12/29 y) (.f64 (*.f64 x 3) y))
(+.f64 (.f64 y (.f64 x 3)) (*.f64 y -12/29))
(+.f64 (.f64 y -12/29) (.f64 y (*.f64 x 3)))
(-.f64 (+.f64 1 (*.f64 (fma.f64 x 3 -12/29) y)) 1)
(/.f64 (.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) y) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))))
(/.f64 (.f64 (+.f64 (.f64 (*.f64 x x) 9) -144/841) y) (fma.f64 x 3 12/29))
(/.f64 (.f64 y (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27))) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))))
(/.f64 (.f64 y (+.f64 (.f64 (*.f64 x x) 9) -144/841)) (fma.f64 x 3 12/29))
(pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 3 -12/29)) y))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 3 -12/29) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(-.f64 (+.f64 1 (fma.f64 x 3 -12/29)) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 9) (fma.f64 x 3 12/29)) (/.f64 144/841 (fma.f64 x 3 12/29)))
(*.f64 (fma.f64 x 3 -12/29) 1)
(*.f64 1 (fma.f64 x 3 -12/29))
(*.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (cbrt.f64 (fma.f64 x 3 -12/29)))
(*.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (fma.f64 x 3 -12/29)))
(.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29)))))
(.f64 (+.f64 (.f64 (*.f64 x x) 9) -144/841) (/.f64 1 (fma.f64 x 3 12/29)))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))) (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27))))
(/.f64 1 (/.f64 (fma.f64 x 3 12/29) (+.f64 (.f64 (.f64 x x) 9) -144/841)))
(/.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))
(/.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) (+.f64 144/841 (-.f64 (.f64 (.f64 x x) 9) (.f64 x -36/29))))
(/.f64 (+.f64 (.f64 (.f64 x x) 9) -144/841) (fma.f64 x 3 12/29))
(/.f64 (neg.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27))) (neg.f64 (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29)))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 9) -144/841)) (neg.f64 (fma.f64 x 3 12/29)))
(/.f64 (-.f64 144/841 (.f64 (.f64 x x) 9)) (-.f64 -12/29 (*.f64 x 3)))
(pow.f64 (fma.f64 x 3 -12/29) 1)
(pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2))
(log.f64 (exp.f64 (fma.f64 x 3 -12/29)))
(cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29)))
(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))
(exp.f64 (log.f64 (fma.f64 x 3 -12/29)))
(fma.f64 x 3 -12/29)
(fma.f64 3 x -12/29)
(fma.f64 1 (*.f64 x 3) -12/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (cbrt.f64 (.f64 x 3)) -12/29)
(fma.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 (.f64 x 3)) -12/29)

Outputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
-12/29
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 -12/29 y) (.f64 (*.f64 x 3) y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 y (.f64 x 3)) (*.f64 y -12/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 y -12/29) (.f64 y (*.f64 x 3)))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (+.f64 1 (*.f64 (fma.f64 x 3 -12/29) y)) 1)
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) y) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))))
(/.f64 y (/.f64 (fma.f64 (.f64 x x) 9 (-.f64 144/841 (.f64 x -36/29))) (+.f64 -1728/24389 (*.f64 (pow.f64 x 3) 27))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (+.f64 144/841 (.f64 x (-.f64 (*.f64 x 9) -36/29)))) y)
(*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 (+.f64 (.f64 (*.f64 x x) 9) -144/841) y) (fma.f64 x 3 12/29))
(/.f64 y (/.f64 (fma.f64 x 3 12/29) (fma.f64 (*.f64 x x) 9 -144/841)))
(.f64 (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)) y)
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)))
(/.f64 (.f64 y (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27))) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))))
(/.f64 y (/.f64 (fma.f64 (.f64 x x) 9 (-.f64 144/841 (.f64 x -36/29))) (+.f64 -1728/24389 (*.f64 (pow.f64 x 3) 27))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (+.f64 144/841 (.f64 x (-.f64 (*.f64 x 9) -36/29)))) y)
(*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (+.f64 (.f64 (*.f64 x x) 9) -144/841)) (fma.f64 x 3 12/29))
(/.f64 y (/.f64 (fma.f64 x 3 12/29) (fma.f64 (*.f64 x x) 9 -144/841)))
(.f64 (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)) y)
(.f64 y (/.f64 (fma.f64 x (.f64 x 9) -144/841) (fma.f64 3 x 12/29)))
(pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1)
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3) 1/3)
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
(*.f64 y (fma.f64 3 x -12/29))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))
(*.f64 y (fma.f64 3 x -12/29))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 3 -12/29)) y))
(*.f64 y (fma.f64 3 x -12/29))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3))
(*.f64 y (fma.f64 3 x -12/29))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) (pow.f64 y 3)))
(*.f64 y (fma.f64 3 x -12/29))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 3 -12/29) 3)))
(*.f64 y (fma.f64 3 x -12/29))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(*.f64 y (fma.f64 3 x -12/29))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(*.f64 y (fma.f64 3 x -12/29))
(exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (+.f64 1 (fma.f64 x 3 -12/29)) 1)
(fma.f64 3 x -12/29)
(-.f64 (/.f64 (.f64 (.f64 x x) 9) (fma.f64 x 3 12/29)) (/.f64 144/841 (fma.f64 x 3 12/29)))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 3 12/29) 9)) (/.f64 144/841 (fma.f64 x 3 12/29)))
(+.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 3 x 12/29)) 9) (/.f64 -144/841 (fma.f64 3 x 12/29)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 3 x 12/29) x)) 9 (/.f64 -144/841 (fma.f64 3 x 12/29)))
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29))
(*.f64 (fma.f64 x 3 -12/29) 1)
(fma.f64 3 x -12/29)
(*.f64 1 (fma.f64 x 3 -12/29))
(fma.f64 3 x -12/29)
(*.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2))
(fma.f64 3 x -12/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (cbrt.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(*.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x x) 9 (-.f64 144/841 (.f64 x -36/29))) (+.f64 -1728/24389 (*.f64 (pow.f64 x 3) 27))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (+.f64 144/841 (.f64 x (-.f64 (.f64 x 9) -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841))
(.f64 (+.f64 (.f64 (*.f64 x x) 9) -144/841) (/.f64 1 (fma.f64 x 3 12/29)))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 3 12/29) 9)) (/.f64 144/841 (fma.f64 x 3 12/29)))
(+.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 3 x 12/29)) 9) (/.f64 -144/841 (fma.f64 3 x 12/29)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 3 x 12/29) x)) 9 (/.f64 -144/841 (fma.f64 3 x 12/29)))
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))) (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x x) 9 (-.f64 144/841 (.f64 x -36/29))) (+.f64 -1728/24389 (*.f64 (pow.f64 x 3) 27))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (+.f64 144/841 (.f64 x (-.f64 (.f64 x 9) -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841))
(/.f64 1 (/.f64 (fma.f64 x 3 12/29) (+.f64 (.f64 (.f64 x x) 9) -144/841)))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 3 12/29) 9)) (/.f64 144/841 (fma.f64 x 3 12/29)))
(+.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 3 x 12/29)) 9) (/.f64 -144/841 (fma.f64 3 x 12/29)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 3 x 12/29) x)) 9 (/.f64 -144/841 (fma.f64 3 x 12/29)))
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29))
(/.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x x) 9 (-.f64 144/841 (.f64 x -36/29))) (+.f64 -1728/24389 (*.f64 (pow.f64 x 3) 27))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (+.f64 144/841 (.f64 x (-.f64 (.f64 x 9) -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841))
(/.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) (+.f64 144/841 (-.f64 (.f64 (.f64 x x) 9) (.f64 x -36/29))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x x) 9 (-.f64 144/841 (.f64 x -36/29))) (+.f64 -1728/24389 (*.f64 (pow.f64 x 3) 27))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (+.f64 144/841 (.f64 x (-.f64 (.f64 x 9) -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841))
(/.f64 (+.f64 (.f64 (.f64 x x) 9) -144/841) (fma.f64 x 3 12/29))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 3 12/29) 9)) (/.f64 144/841 (fma.f64 x 3 12/29)))
(+.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 3 x 12/29)) 9) (/.f64 -144/841 (fma.f64 3 x 12/29)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 3 x 12/29) x)) 9 (/.f64 -144/841 (fma.f64 3 x 12/29)))
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29))
(/.f64 (neg.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27))) (neg.f64 (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x x) 9 (-.f64 144/841 (.f64 x -36/29))) (+.f64 -1728/24389 (*.f64 (pow.f64 x 3) 27))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (+.f64 144/841 (.f64 x (-.f64 (.f64 x 9) -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 9) -144/841)) (neg.f64 (fma.f64 x 3 12/29)))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 3 12/29) 9)) (/.f64 144/841 (fma.f64 x 3 12/29)))
(+.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 3 x 12/29)) 9) (/.f64 -144/841 (fma.f64 3 x 12/29)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 3 x 12/29) x)) 9 (/.f64 -144/841 (fma.f64 3 x 12/29)))
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29))
(/.f64 (-.f64 144/841 (.f64 (.f64 x x) 9)) (-.f64 -12/29 (*.f64 x 3)))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 3 12/29) 9)) (/.f64 144/841 (fma.f64 x 3 12/29)))
(+.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 3 x 12/29)) 9) (/.f64 -144/841 (fma.f64 3 x 12/29)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 3 x 12/29) x)) 9 (/.f64 -144/841 (fma.f64 3 x 12/29)))
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29))
(pow.f64 (fma.f64 x 3 -12/29) 1)
(fma.f64 3 x -12/29)
(pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)
(fma.f64 3 x -12/29)
(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)
(fma.f64 3 x -12/29)
(pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)
(fma.f64 3 x -12/29)
(sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2))
(fma.f64 3 x -12/29)
(log.f64 (exp.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3))
(fma.f64 3 x -12/29)
(expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(exp.f64 (log.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(fma.f64 3 x -12/29)
(fma.f64 3 x -12/29)
(fma.f64 1 (*.f64 x 3) -12/29)
(fma.f64 3 x -12/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (cbrt.f64 (.f64 x 3)) -12/29)
(fma.f64 3 x -12/29)
(fma.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 (.f64 x 3)) -12/29)
(fma.f64 3 x -12/29)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series6.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 (fma.f64 x 3 -12/29) y)
1.0ms	x	@	-inf	(*.f64 (fma.f64 x 3 -12/29) y)
1.0ms	y	@	0	(*.f64 (fma.f64 x 3 -12/29) y)
0.0ms	x	@	inf	(*.f64 (fma.f64 x 3 -12/29) y)
0.0ms	y	@	inf	(*.f64 (fma.f64 x 3 -12/29) y)

rewrite42.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

566×	`fma-neg_binary64`
556×	`log-prod_binary64`
360×	`associate-+l+_binary64`
340×	`associate-+r+_binary64`
293×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	87	484
1	211	478
2	831	476
3	3508	476
4	7313	475

Stop Event

1×	node limit

Counts

70 → 51

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)
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(+.f64 (.f64 y (.f64 x 3)) (*.f64 y -12/29))
(-.f64 (+.f64 1 (*.f64 (fma.f64 x 3 -12/29) y)) 1)
(pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(+.f64 -12/29 (*.f64 x 3))
(+.f64 (*.f64 x 3) -12/29)
(+.f64 (.f64 (.f64 x 3) 1) -12/29)
(-.f64 (+.f64 1 (fma.f64 x 3 -12/29)) 1)
(*.f64 (fma.f64 x 3 -12/29) 1)
(*.f64 1 (fma.f64 x 3 -12/29))
(*.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (cbrt.f64 (fma.f64 x 3 -12/29)))
(*.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (fma.f64 x 3 -12/29)))
(/.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))))
(/.f64 (-.f64 (.f64 (.f64 x 3) (.f64 x 3)) 144/841) (-.f64 (.f64 x 3) -12/29))
(pow.f64 (fma.f64 x 3 -12/29) 1)
(pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2))
(log.f64 (exp.f64 (fma.f64 x 3 -12/29)))
(cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29)))
(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))
(exp.f64 (log.f64 (fma.f64 x 3 -12/29)))

Outputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 y (fma.f64 3 x -12/29))
-12/29
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 y (.f64 x 3)) (*.f64 y -12/29))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (+.f64 1 (*.f64 (fma.f64 x 3 -12/29) y)) 1)
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1)
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3) 1/3)
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
(*.f64 y (fma.f64 3 x -12/29))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))
(*.f64 y (fma.f64 3 x -12/29))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))
(*.f64 y (fma.f64 3 x -12/29))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3))
(*.f64 y (fma.f64 3 x -12/29))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(*.f64 y (fma.f64 3 x -12/29))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(*.f64 y (fma.f64 3 x -12/29))
(exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 -12/29 (*.f64 x 3))
(fma.f64 3 x -12/29)
(+.f64 (*.f64 x 3) -12/29)
(fma.f64 3 x -12/29)
(+.f64 (.f64 (.f64 x 3) 1) -12/29)
(fma.f64 3 x -12/29)
(-.f64 (+.f64 1 (fma.f64 x 3 -12/29)) 1)
(fma.f64 3 x -12/29)
(*.f64 (fma.f64 x 3 -12/29) 1)
(fma.f64 3 x -12/29)
(*.f64 1 (fma.f64 x 3 -12/29))
(fma.f64 3 x -12/29)
(*.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2))
(fma.f64 3 x -12/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (cbrt.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(*.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(/.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))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -1728/24389) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (-.f64 (fma.f64 x (.f64 9 x) 144/841) (.f64 x -36/29)))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (+.f64 144/841 (*.f64 x (fma.f64 x 9 36/29))))
(/.f64 (-.f64 (.f64 (.f64 x 3) (.f64 x 3)) 144/841) (-.f64 (.f64 x 3) -12/29))
(/.f64 (+.f64 (.f64 (.f64 x x) 9) -144/841) (fma.f64 x 3 12/29))
(/.f64 (fma.f64 x (*.f64 9 x) -144/841) (fma.f64 3 x 12/29))
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29))
(pow.f64 (fma.f64 x 3 -12/29) 1)
(fma.f64 3 x -12/29)
(pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)
(fma.f64 3 x -12/29)
(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)
(fma.f64 3 x -12/29)
(pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)
(fma.f64 3 x -12/29)
(sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2))
(fma.f64 3 x -12/29)
(log.f64 (exp.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3))
(fma.f64 3 x -12/29)
(expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)
(exp.f64 (log.f64 (fma.f64 x 3 -12/29)))
(fma.f64 3 x -12/29)

eval42.0ms (1.2%)

Compiler: Compiled 1829 to 1334 computations (27.1% saved)

prune27.0ms (0.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	156	9	165
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	157	11	168

Error

Counts

168 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 3)
▶	18.5b	(/.f64 (.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) y) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))))
▶	0.2b	(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
	13.3b	(.f64 (/.f64 1 (/.f64 (fma.f64 x 3 12/29) (+.f64 (.f64 (*.f64 x x) 9) -144/841))) y)
✓	0.1b	(.f64 (+.f64 (.f64 x 3) -12/29) y)
✓	0.2b	(.f64 (+.f64 x -4/29) (.f64 3 y))
	36.6b	(.f64 (.f64 3 x) y)
▶	36.5b	(.f64 x (.f64 y 3))
▶	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
	36.6b	(.f64 3 (.f64 y x))
▶	26.0b	(*.f64 -12/29 y)

Compiler

Compiled 216 to 166 computations (23.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 14 computations (46.2% saved)

series8.0ms (0.2%)

Counts

3 → 15

Calls

15 calls:

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

rewrite55.0ms (1.5%)

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	22
1	193	22
2	2486	22

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

simplify47.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

761×	`times-frac_binary64`
513×	`fma-def_binary64`
401×	`distribute-rgt-in_binary64`
378×	`distribute-lft-in_binary64`
371×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	968
1	352	912
2	1435	867

Stop Event

1×	node limit

Counts

78 → 80

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))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 3 y)))) 1)
(pow.f64 (.f64 x (.f64 3 y)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
(pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 2))
(log.f64 (pow.f64 (exp.f64 3) (*.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 3 y)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 3 y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 3 y))))
(exp.f64 (log.f64 (.f64 x (.f64 3 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y -12/29))) 1)
(pow.f64 (*.f64 y -12/29) 1)
(pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)
(pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)
(pow.f64 (*.f64 (pow.f64 y 3) -1728/24389) 1/3)
(sqrt.f64 (.f64 (.f64 y y) 144/841))
(log.f64 (pow.f64 (exp.f64 -12/29) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y -12/29))))
(cbrt.f64 (*.f64 (pow.f64 y 3) -1728/24389))
(expm1.f64 (log1p.f64 (*.f64 y -12/29)))
(log1p.f64 (expm1.f64 (*.f64 y -12/29)))
(exp.f64 (log.f64 (*.f64 y -12/29)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29)))) 1)
(-.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))))
(.f64 (fma.f64 3 (.f64 y x) (*.f64 y -12/29)) 1)
(.f64 1 (fma.f64 3 (.f64 y x) (*.f64 y -12/29)))
(.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))
(.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))))
(.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))))
(.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (.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)))))))
(.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))))
(/.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 (pow.f64 (.f64 x (.f64 3 y)) 3) (.f64 (pow.f64 y 3) -1728/24389))))
(/.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))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (.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))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (.f64 (pow.f64 y 3) -1728/24389)) (+.f64 (.f64 (.f64 y y) 144/841) (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 3 (.f64 (.f64 y x) (*.f64 y -12/29))))))
(/.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)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (.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)))))))
(/.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))))
(/.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))))
(pow.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29)) 1)
(pow.f64 (pow.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29))) 3)
(pow.f64 (sqrt.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29))) 2)
(sqrt.f64 (pow.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29)) 2))
(log.f64 (exp.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29)))))
(cbrt.f64 (pow.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29)) 3))
(expm1.f64 (log1p.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29))))
(log1p.f64 (expm1.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29))))
(exp.f64 (log.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29))))
(fma.f64 3 (.f64 y x) (.f64 y -12/29))
(fma.f64 y -12/29 (.f64 x (.f64 3 y)))
(fma.f64 (.f64 y x) 3 (.f64 y -12/29))
(fma.f64 -12/29 y (.f64 x (.f64 3 y)))
(fma.f64 1 (.f64 x (.f64 3 y)) (*.f64 y -12/29))
(fma.f64 1 (.f64 y -12/29) (.f64 x (*.f64 3 y)))
(fma.f64 (cbrt.f64 (.f64 (.f64 y y) 144/841)) (cbrt.f64 (.f64 y -12/29)) (.f64 x (*.f64 3 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) (cbrt.f64 (.f64 x (.f64 3 y))) (*.f64 y -12/29))
(fma.f64 (sqrt.f64 (.f64 y -12/29)) (sqrt.f64 (.f64 y -12/29)) (.f64 x (.f64 3 y)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 3 y))) (sqrt.f64 (.f64 x (.f64 3 y))) (*.f64 y -12/29))
(fma.f64 (.f64 3 y) x (.f64 y -12/29))

Outputs
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 -1 (.f64 y (+.f64 12/29 (*.f64 -3 x))))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 -1 (.f64 y (+.f64 12/29 (*.f64 -3 x))))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 -1 (.f64 y (+.f64 12/29 (*.f64 -3 x))))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 -1 (.f64 y (+.f64 12/29 (*.f64 -3 x))))
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 x) y)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 x) y)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 3 y)))) 1)
(.f64 (.f64 3 x) y)
(pow.f64 (.f64 x (.f64 3 y)) 1)
(.f64 (.f64 3 x) y)
(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
(.f64 (.f64 3 x) y)
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
(.f64 (.f64 3 x) y)
(pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) 1/3)
(.f64 (.f64 3 x) y)
(sqrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 2))
(.f64 (.f64 3 x) y)
(log.f64 (pow.f64 (exp.f64 3) (*.f64 y x)))
(.f64 (.f64 3 x) y)
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 3 y)))))
(.f64 (.f64 3 x) y)
(cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))
(.f64 (.f64 3 x) y)
(expm1.f64 (log1p.f64 (.f64 x (.f64 3 y))))
(.f64 (.f64 3 x) y)
(log1p.f64 (expm1.f64 (.f64 x (.f64 3 y))))
(.f64 (.f64 3 x) y)
(exp.f64 (log.f64 (.f64 x (.f64 3 y))))
(.f64 (.f64 3 x) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y -12/29))) 1)
(*.f64 y -12/29)
(pow.f64 (*.f64 y -12/29) 1)
(*.f64 y -12/29)
(pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)
(*.f64 y -12/29)
(pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)
(*.f64 y -12/29)
(pow.f64 (*.f64 (pow.f64 y 3) -1728/24389) 1/3)
(cbrt.f64 (*.f64 (pow.f64 y 3) -1728/24389))
(sqrt.f64 (.f64 (.f64 y y) 144/841))
(sqrt.f64 (.f64 y (.f64 y 144/841)))
(log.f64 (pow.f64 (exp.f64 -12/29) y))
(*.f64 y -12/29)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y -12/29))))
(*.f64 y -12/29)
(cbrt.f64 (*.f64 (pow.f64 y 3) -1728/24389))
(expm1.f64 (log1p.f64 (*.f64 y -12/29)))
(*.f64 y -12/29)
(log1p.f64 (expm1.f64 (*.f64 y -12/29)))
(*.f64 y -12/29)
(exp.f64 (log.f64 (*.f64 y -12/29)))
(*.f64 y -12/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29)))) 1)
(*.f64 (fma.f64 3 x -12/29) y)
(-.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))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 y (.f64 y 144/841))) (fma.f64 x (.f64 3 y) (.f64 12/29 y)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 (.f64 y y) 144/841)) (.f64 y (+.f64 (.f64 3 x) 12/29)))
(/.f64 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 x x) 9) 144/841)) (*.f64 y (fma.f64 3 x 12/29)))
(.f64 (fma.f64 3 (.f64 y x) (*.f64 y -12/29)) 1)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 1 (fma.f64 3 (.f64 y x) (*.f64 y -12/29)))
(*.f64 (fma.f64 3 x -12/29) y)
(.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))
(*.f64 (fma.f64 3 x -12/29) y)
(.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))))
(*.f64 (fma.f64 3 x -12/29) y)
(.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))))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (.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)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 3 x) y) 3) (.f64 (pow.f64 y 3) -1728/24389)) 1) (+.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 y (.f64 -12/29 (-.f64 (.f64 y -12/29) (.f64 (*.f64 3 x) y))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1728/24389 (pow.f64 (.f64 (.f64 3 x) y) 3)) (fma.f64 y (.f64 -12/29 (.f64 y (-.f64 -12/29 (.f64 3 x)))) (pow.f64 (.f64 (*.f64 3 x) y) 2)))
(/.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 (pow.f64 x 3) 27) -1728/24389)) (fma.f64 y (.f64 y 144/841) (.f64 (.f64 (.f64 3 x) y) (*.f64 y (fma.f64 3 x 12/29)))))
(.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))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 y (.f64 y 144/841))) (fma.f64 x (.f64 3 y) (.f64 12/29 y)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 (.f64 y y) 144/841)) (.f64 y (+.f64 (.f64 3 x) 12/29)))
(/.f64 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 x x) 9) 144/841)) (*.f64 y (fma.f64 3 x 12/29)))
(/.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 (pow.f64 (.f64 x (.f64 3 y)) 3) (.f64 (pow.f64 y 3) -1728/24389))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 3 x) y) 3) (.f64 (pow.f64 y 3) -1728/24389)) 1) (+.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 y (.f64 -12/29 (-.f64 (.f64 y -12/29) (.f64 (*.f64 3 x) y))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1728/24389 (pow.f64 (.f64 (.f64 3 x) y) 3)) (fma.f64 y (.f64 -12/29 (.f64 y (-.f64 -12/29 (.f64 3 x)))) (pow.f64 (.f64 (*.f64 3 x) y) 2)))
(/.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 (pow.f64 x 3) 27) -1728/24389)) (fma.f64 y (.f64 y 144/841) (.f64 (.f64 (.f64 3 x) y) (*.f64 y (fma.f64 3 x 12/29)))))
(/.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))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 y (.f64 y 144/841))) (fma.f64 x (.f64 3 y) (.f64 12/29 y)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 (.f64 y y) 144/841)) (.f64 y (+.f64 (.f64 3 x) 12/29)))
(/.f64 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 x x) 9) 144/841)) (*.f64 y (fma.f64 3 x 12/29)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (.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))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 3 x) y) 3) (.f64 (pow.f64 y 3) -1728/24389)) 1) (+.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 y (.f64 -12/29 (-.f64 (.f64 y -12/29) (.f64 (*.f64 3 x) y))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1728/24389 (pow.f64 (.f64 (.f64 3 x) y) 3)) (fma.f64 y (.f64 -12/29 (.f64 y (-.f64 -12/29 (.f64 3 x)))) (pow.f64 (.f64 (*.f64 3 x) y) 2)))
(/.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 (pow.f64 x 3) 27) -1728/24389)) (fma.f64 y (.f64 y 144/841) (.f64 (.f64 (.f64 3 x) y) (*.f64 y (fma.f64 3 x 12/29)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (.f64 (pow.f64 y 3) -1728/24389)) (+.f64 (.f64 (.f64 y y) 144/841) (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 3 (.f64 (.f64 y x) (*.f64 y -12/29))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 3 x) y) 3) (.f64 (pow.f64 y 3) -1728/24389)) 1) (+.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 y (.f64 -12/29 (-.f64 (.f64 y -12/29) (.f64 (*.f64 3 x) y))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1728/24389 (pow.f64 (.f64 (.f64 3 x) y) 3)) (fma.f64 y (.f64 -12/29 (.f64 y (-.f64 -12/29 (.f64 3 x)))) (pow.f64 (.f64 (*.f64 3 x) y) 2)))
(/.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 (pow.f64 x 3) 27) -1728/24389)) (fma.f64 y (.f64 y 144/841) (.f64 (.f64 (.f64 3 x) y) (*.f64 y (fma.f64 3 x 12/29)))))
(/.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)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 y (.f64 y 144/841))) (fma.f64 x (.f64 3 y) (.f64 12/29 y)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 (.f64 y y) 144/841)) (.f64 y (+.f64 (.f64 3 x) 12/29)))
(/.f64 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 x x) 9) 144/841)) (*.f64 y (fma.f64 3 x 12/29)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (.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)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 3 x) y) 3) (.f64 (pow.f64 y 3) -1728/24389)) 1) (+.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 y (.f64 -12/29 (-.f64 (.f64 y -12/29) (.f64 (*.f64 3 x) y))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1728/24389 (pow.f64 (.f64 (.f64 3 x) y) 3)) (fma.f64 y (.f64 -12/29 (.f64 y (-.f64 -12/29 (.f64 3 x)))) (pow.f64 (.f64 (*.f64 3 x) y) 2)))
(/.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 (pow.f64 x 3) 27) -1728/24389)) (fma.f64 y (.f64 y 144/841) (.f64 (.f64 (.f64 3 x) y) (*.f64 y (fma.f64 3 x 12/29)))))
(/.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))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 y (.f64 y 144/841))) (fma.f64 x (.f64 3 y) (.f64 12/29 y)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 (.f64 y y) 144/841)) (.f64 y (+.f64 (.f64 3 x) 12/29)))
(/.f64 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 x x) 9) 144/841)) (*.f64 y (fma.f64 3 x 12/29)))
(/.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))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 y (.f64 y 144/841))) (fma.f64 x (.f64 3 y) (.f64 12/29 y)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 3 x) y) 2) (.f64 (.f64 y y) 144/841)) (.f64 y (+.f64 (.f64 3 x) 12/29)))
(/.f64 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 x x) 9) 144/841)) (*.f64 y (fma.f64 3 x 12/29)))
(pow.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29)) 1)
(*.f64 (fma.f64 3 x -12/29) y)
(pow.f64 (pow.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29)) 3) 1/3)
(*.f64 (fma.f64 3 x -12/29) y)
(pow.f64 (cbrt.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29))) 3)
(*.f64 (fma.f64 3 x -12/29) y)
(pow.f64 (sqrt.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29))) 2)
(*.f64 (fma.f64 3 x -12/29) y)
(sqrt.f64 (pow.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29)) 2))
(*.f64 (fma.f64 3 x -12/29) y)
(log.f64 (exp.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29))))
(*.f64 (fma.f64 3 x -12/29) y)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29)))))
(*.f64 (fma.f64 3 x -12/29) y)
(cbrt.f64 (pow.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29)) 3))
(*.f64 (fma.f64 3 x -12/29) y)
(expm1.f64 (log1p.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29))))
(*.f64 (fma.f64 3 x -12/29) y)
(log1p.f64 (expm1.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29))))
(*.f64 (fma.f64 3 x -12/29) y)
(exp.f64 (log.f64 (fma.f64 3 (.f64 y x) (.f64 y -12/29))))
(*.f64 (fma.f64 3 x -12/29) y)
(fma.f64 3 (.f64 y x) (.f64 y -12/29))
(*.f64 (fma.f64 3 x -12/29) y)
(fma.f64 y -12/29 (.f64 x (.f64 3 y)))
(*.f64 (fma.f64 3 x -12/29) y)
(fma.f64 (.f64 y x) 3 (.f64 y -12/29))
(*.f64 (fma.f64 3 x -12/29) y)
(fma.f64 -12/29 y (.f64 x (.f64 3 y)))
(*.f64 (fma.f64 3 x -12/29) y)
(fma.f64 1 (.f64 x (.f64 3 y)) (*.f64 y -12/29))
(*.f64 (fma.f64 3 x -12/29) y)
(fma.f64 1 (.f64 y -12/29) (.f64 x (*.f64 3 y)))
(*.f64 (fma.f64 3 x -12/29) y)
(fma.f64 (cbrt.f64 (.f64 (.f64 y y) 144/841)) (cbrt.f64 (.f64 y -12/29)) (.f64 x (*.f64 3 y)))
(fma.f64 (cbrt.f64 (.f64 y (.f64 y 144/841))) (cbrt.f64 (.f64 y -12/29)) (.f64 (*.f64 3 x) y))
(fma.f64 (cbrt.f64 (.f64 (.f64 y y) 144/841)) (cbrt.f64 (.f64 y -12/29)) (.f64 (*.f64 3 x) y))
(fma.f64 3 (.f64 x y) (.f64 (cbrt.f64 (.f64 y -12/29)) (cbrt.f64 (.f64 (*.f64 y y) 144/841))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) (cbrt.f64 (.f64 x (.f64 3 y))) (*.f64 y -12/29))
(*.f64 (fma.f64 3 x -12/29) y)
(fma.f64 (sqrt.f64 (.f64 y -12/29)) (sqrt.f64 (.f64 y -12/29)) (.f64 x (.f64 3 y)))
(*.f64 (fma.f64 3 x -12/29) y)
(fma.f64 (sqrt.f64 (.f64 x (.f64 3 y))) (sqrt.f64 (.f64 x (.f64 3 y))) (*.f64 y -12/29))
(*.f64 (fma.f64 3 x -12/29) y)
(fma.f64 (.f64 3 y) x (.f64 y -12/29))
(*.f64 (fma.f64 3 x -12/29) y)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`pow1_binary64`
513×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
502×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1398	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify42.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

968×	`log-prod_binary64`
525×	`distribute-rgt-in_binary64`
514×	`distribute-lft-in_binary64`
414×	`*-commutative_binary64`
412×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	245
1	82	245
2	322	245
3	2312	245
4	7043	245

Stop Event

1×	node limit

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))
(-.f64 (+.f64 1 (.f64 x (.f64 y 3))) 1)
(pow.f64 (.f64 x (.f64 y 3)) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 y 3)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 y 3))) 3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 y 3))) 2)
(sqrt.f64 (pow.f64 (.f64 x (.f64 y 3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y 3)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 y 3)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 y 3))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 y 3))))
(exp.f64 (log.f64 (.f64 x (.f64 y 3))))

Outputs
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(-.f64 (+.f64 1 (.f64 x (.f64 y 3))) 1)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (.f64 x (.f64 y 3)) 1)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (pow.f64 (.f64 x (.f64 y 3)) 3) 1/3)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 y 3))) 3)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 y 3))) 2)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 y 3)) 2))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y 3)))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 y 3)) 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 y 3))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 y 3))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(exp.f64 (log.f64 (.f64 x (.f64 y 3))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y (-.f64 x 4/29))
✓	0.2b	(.f64 3 (.f64 y (-.f64 x 4/29)))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite53.0ms (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	17
1	174	17
2	2114	17

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

657×	`log-prod_binary64`
358×	`fma-neg_binary64`
335×	`distribute-rgt-out_binary64`
285×	`distribute-rgt-in_binary64`
279×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	535
1	249	529
2	896	485
3	3764	485
4	5511	485

Stop Event

1×	node limit

Counts

58 → 58

Calls

Call 1

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

Outputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.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))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.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))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 -4/29 y)
(*.f64 y -4/29)
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(+.f64 (.f64 y x) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(+.f64 (.f64 x (.f64 3 y)) (.f64 -4/29 (.f64 3 y)))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 (.f64 3 y) x) (.f64 (.f64 3 y) -4/29))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(-.f64 (+.f64 1 (.f64 3 (.f64 y (+.f64 x -4/29)))) 1)
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (.f64 (.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(/.f64 (.f64 (.f64 y 3) (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))
(/.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) (*.f64 y 3)))
(*.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 y (/.f64 (fma.f64 x x (fma.f64 x 4/29 16/841)) 3)))
(/.f64 (.f64 (.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (.f64 (.f64 y 3) (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (.f64 y (.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))
(*.f64 (/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) y)) 3)
(pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 1)
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 3) 1/3)
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 3)
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))) 2)
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(sqrt.f64 (.f64 9 (pow.f64 (.f64 y (+.f64 x -4/29)) 2)))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(log.f64 (pow.f64 (exp.f64 (*.f64 3 y)) (+.f64 x -4/29)))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y (+.f64 x -4/29))) 3))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(exp.f64 (log.f64 (.f64 3 (.f64 y (+.f64 x -4/29)))))
(.f64 (.f64 y 3) (+.f64 x -4/29))
(.f64 y (.f64 3 (+.f64 x -4/29)))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 x y) (.f64 -4/29 y))
(*.f64 y (+.f64 x -4/29))
(+.f64 (.f64 y x) (.f64 y -4/29))
(*.f64 y (+.f64 x -4/29))
(-.f64 (+.f64 1 (*.f64 y (+.f64 x -4/29))) 1)
(*.f64 y (+.f64 x -4/29))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -64/24389) y) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 y (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (+.f64 (pow.f64 x 3) -64/24389)))
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 4/29 16/841))) (+.f64 (pow.f64 x 3) -64/24389))
(*.f64 y (/.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (fma.f64 x 4/29 16/841))))
(/.f64 (*.f64 (fma.f64 x x -16/841) y) (+.f64 x 4/29))
(/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))
(/.f64 (*.f64 y (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) y))
(/.f64 (.f64 y (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (.f64 x 4/29))))
(/.f64 y (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (+.f64 (pow.f64 x 3) -64/24389)))
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 4/29 16/841))) (+.f64 (pow.f64 x 3) -64/24389))
(*.f64 y (/.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (fma.f64 x 4/29 16/841))))
(/.f64 (*.f64 y (fma.f64 x x -16/841)) (+.f64 x 4/29))
(/.f64 y (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))
(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) y))
(pow.f64 (*.f64 y (+.f64 x -4/29)) 1)
(*.f64 y (+.f64 x -4/29))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 3) 1/3)
(*.f64 y (+.f64 x -4/29))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -4/29))) 3)
(*.f64 y (+.f64 x -4/29))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -4/29))) 2)
(*.f64 y (+.f64 x -4/29))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 2))
(*.f64 y (+.f64 x -4/29))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) y))
(*.f64 y (+.f64 x -4/29))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 3))
(*.f64 y (+.f64 x -4/29))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 x -4/29) 3)))
(*.f64 y (+.f64 x -4/29))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -4/29) 3) (pow.f64 y 3)))
(*.f64 y (+.f64 x -4/29))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29))))
(*.f64 y (+.f64 x -4/29))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -4/29))))
(*.f64 y (+.f64 x -4/29))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -4/29))))
(*.f64 y (+.f64 x -4/29))

localize33.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x x) 9)
✓	0.2b	(*.f64 x -36/29)
✓	2.2b	(.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) y)
✓	17.0b	(/.f64 (.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) y) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))))

Compiler

Compiled 82 to 58 computations (29.3% saved)

series15.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) y)
2.0ms	y	@	0	(/.f64 (.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) y) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))))
1.0ms	y	@	inf	(/.f64 (.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) y) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))))
1.0ms	x	@	0	(/.f64 (.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) y) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))))
1.0ms	x	@	inf	(/.f64 (.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) y) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))))

rewrite75.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`fma-def_binary64`
344×	`expm1-udef_binary64`
344×	`log1p-udef_binary64`
313×	`fma-neg_binary64`
268×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	431	49
2	5643	47

Stop Event

1×	node limit

Counts

4 → 98

Calls

Call 1

Inputs
(/.f64 (.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) y) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))))
(.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) y)
(*.f64 x -36/29)
(.f64 (.f64 x x) 9)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 1 (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (.f64 y (/.f64 1 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 1 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) (/.f64 1 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) 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(2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 3) (pow.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1728/24389 y) (.f64 (.f64 (pow.f64 x 3) 27) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (pow.f64 x 3) 27) y) (.f64 -1728/24389 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -1728/24389) (.f64 y (.f64 (pow.f64 x 3) 27)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 (pow.f64 x 3) 27)) (.f64 y -1728/24389))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 19683 (pow.f64 (pow.f64 x 3) 3) -5159780352/14507145975869) y) (fma.f64 (.f64 (pow.f64 x 3) 27) (fma.f64 (pow.f64 x 3) 27 1728/24389) 2985984/594823321))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 2985984/594823321 (.f64 729 (pow.f64 x 6))) y) (+.f64 -1728/24389 (.f64 -27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (fma.f64 19683 (pow.f64 (pow.f64 x 3) 3) -5159780352/14507145975869)) (fma.f64 (.f64 (pow.f64 x 3) 27) (fma.f64 (pow.f64 x 3) 27 1728/24389) 2985984/594823321))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (-.f64 2985984/594823321 (.f64 729 (pow.f64 x 6)))) (+.f64 -1728/24389 (.f64 -27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1728/24389 y (.f64 (.f64 (pow.f64 x 3) 27) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) 27) y (.f64 -1728/24389 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1728/24389 (.f64 y (.f64 (pow.f64 x 3) 27)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 (pow.f64 x 3) 27) (*.f64 y -1728/24389))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x -36/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -36/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x -36/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x -36/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) -46656/24389) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 1296/841))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -36/29) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x -36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) -46656/24389))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x -36/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x -36/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x -36/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x -36/29)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 729 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 729 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) 9)) 1))))))

simplify67.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

786×	`times-frac_binary64`
605×	`fma-def_binary64`
332×	`unswap-sqr_binary64`
230×	`log-prod_binary64`
183×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	303	3007
1	736	2827
2	2983	2638

Stop Event

1×	node limit

Counts

170 → 151

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 (.f64 -12/29 y) (.f64 -1 (.f64 (+.f64 (.f64 87/4 y) (*.f64 -87/4 y)) (pow.f64 x 2)))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 29/4 (.f64 (+.f64 (.f64 87/4 y) (.f64 -87/4 y)) (pow.f64 x 3))) (+.f64 (.f64 -12/29 y) (.f64 -1 (.f64 (+.f64 (.f64 87/4 y) (*.f64 -87/4 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 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (.f64 -12/29 y)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (+.f64 (.f64 -12/29 y) (.f64 4/29 (/.f64 (+.f64 (.f64 48/841 y) (*.f64 -48/841 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 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (.f64 -12/29 y)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (+.f64 (.f64 -12/29 y) (.f64 4/29 (/.f64 (+.f64 (.f64 48/841 y) (*.f64 -48/841 y)) (pow.f64 x 2))))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(*.f64 -1728/24389 y)
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(.f64 27 (.f64 y (pow.f64 x 3)))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(.f64 27 (.f64 y (pow.f64 x 3)))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(*.f64 -36/29 x)
(*.f64 -36/29 x)
(*.f64 -36/29 x)
(*.f64 -36/29 x)
(*.f64 -36/29 x)
(*.f64 -36/29 x)
(*.f64 -36/29 x)
(*.f64 -36/29 x)
(*.f64 -36/29 x)
(*.f64 -36/29 x)
(*.f64 -36/29 x)
(*.f64 -36/29 x)
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y)))) 1)
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 1 (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (.f64 y (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 y (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y)) 1)
(.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y)) 2)) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 2)) (.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))))
(.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) (.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (neg.f64 y)) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))) (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) 1) (/.f64 y (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))))
(.f64 (/.f64 y 1) (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))) y)
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 2)) 1) (/.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))))
(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) 1) (/.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))) 2)) (/.f64 y (cbrt.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 (/.f64 y (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))) 2)) (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (cbrt.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))) 2)) (/.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) (cbrt.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))) 2)) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y))))
(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))) 2)) (/.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) (cbrt.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (hypot.f64 (sqrt.f64 (fma.f64 x 36/29 144/841)) (.f64 x 3))) (/.f64 y (hypot.f64 (sqrt.f64 (fma.f64 x 36/29 144/841)) (*.f64 x 3))))
(.f64 (/.f64 y (hypot.f64 (sqrt.f64 (fma.f64 x 36/29 144/841)) (.f64 x 3))) (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (hypot.f64 (sqrt.f64 (fma.f64 x 36/29 144/841)) (*.f64 x 3))))
(.f64 (/.f64 1 (hypot.f64 (sqrt.f64 (fma.f64 x 36/29 144/841)) (.f64 x 3))) (/.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) (hypot.f64 (sqrt.f64 (fma.f64 x 36/29 144/841)) (.f64 x 3))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 2)) (hypot.f64 (sqrt.f64 (fma.f64 x 36/29 144/841)) (.f64 x 3))) (/.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) (hypot.f64 (sqrt.f64 (fma.f64 x 36/29 144/841)) (*.f64 x 3))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) (fma.f64 729 (pow.f64 x 6) (pow.f64 (fma.f64 x 36/29 144/841) 3))) (fma.f64 (fma.f64 x 36/29 144/841) (-.f64 (fma.f64 x 36/29 144/841) (.f64 (.f64 x x) 9)) (*.f64 81 (pow.f64 x 4))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) (-.f64 (.f64 81 (pow.f64 x 4)) (pow.f64 (fma.f64 x 36/29 144/841) 2))) (+.f64 (fma.f64 (.f64 x x) 9 -144/841) (*.f64 x -36/29)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y)) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))) 2)
(pow.f64 (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) -1)
(neg.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) (neg.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 3) (pow.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)) y))) 1))
(+.f64 (.f64 -1728/24389 y) (.f64 (*.f64 (pow.f64 x 3) 27) y))
(+.f64 (.f64 (.f64 (pow.f64 x 3) 27) y) (*.f64 -1728/24389 y))
(+.f64 (.f64 y -1728/24389) (.f64 y (*.f64 (pow.f64 x 3) 27)))
(+.f64 (.f64 y (.f64 (pow.f64 x 3) 27)) (*.f64 y -1728/24389))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y))) 1)
(/.f64 (.f64 (fma.f64 19683 (pow.f64 (pow.f64 x 3) 3) -5159780352/14507145975869) y) (fma.f64 (.f64 (pow.f64 x 3) 27) (fma.f64 (pow.f64 x 3) 27 1728/24389) 2985984/594823321))
(/.f64 (.f64 (-.f64 2985984/594823321 (.f64 729 (pow.f64 x 6))) y) (+.f64 -1728/24389 (*.f64 -27 (pow.f64 x 3))))
(/.f64 (.f64 y (fma.f64 19683 (pow.f64 (pow.f64 x 3) 3) -5159780352/14507145975869)) (fma.f64 (.f64 (pow.f64 x 3) 27) (fma.f64 (pow.f64 x 3) 27 1728/24389) 2985984/594823321))
(/.f64 (.f64 y (-.f64 2985984/594823321 (.f64 729 (pow.f64 x 6)))) (+.f64 -1728/24389 (*.f64 -27 (pow.f64 x 3))))
(pow.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 1)
(pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) 3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) 2)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 2))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) 3) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)))
(exp.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) 1))
(fma.f64 -1728/24389 y (.f64 (.f64 (pow.f64 x 3) 27) y))
(fma.f64 (.f64 (pow.f64 x 3) 27) y (.f64 -1728/24389 y))
(fma.f64 y -1728/24389 (.f64 y (.f64 (pow.f64 x 3) 27)))
(fma.f64 y (.f64 (pow.f64 x 3) 27) (.f64 y -1728/24389))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -36/29))) 1)
(pow.f64 (*.f64 x -36/29) 1)
(pow.f64 (cbrt.f64 (*.f64 x -36/29)) 3)
(pow.f64 (sqrt.f64 (*.f64 x -36/29)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) -46656/24389) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 1296/841))
(log.f64 (pow.f64 (exp.f64 -36/29) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -36/29))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -46656/24389))
(expm1.f64 (log1p.f64 (*.f64 x -36/29)))
(log1p.f64 (expm1.f64 (*.f64 x -36/29)))
(exp.f64 (log.f64 (*.f64 x -36/29)))
(exp.f64 (.f64 (log.f64 (.f64 x -36/29)) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) 9))) 1)
(pow.f64 (.f64 (.f64 x x) 9) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) 3)
(pow.f64 (*.f64 x 3) 2)
(pow.f64 (*.f64 729 (pow.f64 x 6)) 1/3)
(sqrt.f64 (*.f64 81 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) 9))))
(cbrt.f64 (*.f64 729 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 9)))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 9)))
(exp.f64 (log.f64 (.f64 (.f64 x x) 9)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) 9)) 1))

Outputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 -1 (.f64 (+.f64 (.f64 87/4 y) (*.f64 -87/4 y)) (pow.f64 x 2)))))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 29/4 (.f64 (+.f64 (.f64 87/4 y) (.f64 -87/4 y)) (pow.f64 x 3))) (+.f64 (.f64 -12/29 y) (.f64 -1 (.f64 (+.f64 (.f64 87/4 y) (*.f64 -87/4 y)) (pow.f64 x 2))))))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (.f64 -12/29 y)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (+.f64 (.f64 -12/29 y) (.f64 4/29 (/.f64 (+.f64 (.f64 48/841 y) (*.f64 -48/841 y)) (pow.f64 x 2))))))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (.f64 -12/29 y)))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (+.f64 (.f64 -12/29 y) (.f64 4/29 (/.f64 (+.f64 (.f64 48/841 y) (*.f64 -48/841 y)) (pow.f64 x 2))))))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389)) (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389)) (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389)) (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389)) (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389)) (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389)) (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389)) (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389)) (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389)) (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389)) (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (.f64 -36/29 x)))
(/.f64 (.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389)) (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) y))
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(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
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(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y))) 1)
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(/.f64 (.f64 (fma.f64 19683 (pow.f64 (pow.f64 x 3) 3) -5159780352/14507145975869) y) (fma.f64 (.f64 (pow.f64 x 3) 27) (fma.f64 (pow.f64 x 3) 27 1728/24389) 2985984/594823321))
(/.f64 (fma.f64 19683 (pow.f64 (pow.f64 x 3) 3) -5159780352/14507145975869) (/.f64 (fma.f64 (*.f64 (pow.f64 x 3) 27) (fma.f64 (pow.f64 x 3) 27 1728/24389) 2985984/594823321) y))
(.f64 (/.f64 y (fma.f64 (.f64 (pow.f64 x 3) 27) (fma.f64 (pow.f64 x 3) 27 1728/24389) 2985984/594823321)) (fma.f64 19683 (pow.f64 (pow.f64 x 3) 3) -5159780352/14507145975869))
(.f64 (/.f64 y (fma.f64 (pow.f64 x 3) (.f64 27 (fma.f64 (pow.f64 x 3) 27 1728/24389)) 2985984/594823321)) (fma.f64 19683 (pow.f64 (pow.f64 x 3) 3) -5159780352/14507145975869))
(/.f64 (.f64 (-.f64 2985984/594823321 (.f64 729 (pow.f64 x 6))) y) (+.f64 -1728/24389 (*.f64 -27 (pow.f64 x 3))))
(/.f64 (+.f64 2985984/594823321 (.f64 -729 (pow.f64 x 6))) (/.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) -27)) y))
(/.f64 y (/.f64 (fma.f64 (pow.f64 x 3) -27 -1728/24389) (+.f64 2985984/594823321 (*.f64 (pow.f64 x 6) -729))))
(*.f64 (/.f64 y (fma.f64 (pow.f64 x 3) -27 -1728/24389)) (fma.f64 (pow.f64 x 6) -729 2985984/594823321))
(/.f64 (.f64 y (fma.f64 19683 (pow.f64 (pow.f64 x 3) 3) -5159780352/14507145975869)) (fma.f64 (.f64 (pow.f64 x 3) 27) (fma.f64 (pow.f64 x 3) 27 1728/24389) 2985984/594823321))
(/.f64 (fma.f64 19683 (pow.f64 (pow.f64 x 3) 3) -5159780352/14507145975869) (/.f64 (fma.f64 (*.f64 (pow.f64 x 3) 27) (fma.f64 (pow.f64 x 3) 27 1728/24389) 2985984/594823321) y))
(.f64 (/.f64 y (fma.f64 (.f64 (pow.f64 x 3) 27) (fma.f64 (pow.f64 x 3) 27 1728/24389) 2985984/594823321)) (fma.f64 19683 (pow.f64 (pow.f64 x 3) 3) -5159780352/14507145975869))
(.f64 (/.f64 y (fma.f64 (pow.f64 x 3) (.f64 27 (fma.f64 (pow.f64 x 3) 27 1728/24389)) 2985984/594823321)) (fma.f64 19683 (pow.f64 (pow.f64 x 3) 3) -5159780352/14507145975869))
(/.f64 (.f64 y (-.f64 2985984/594823321 (.f64 729 (pow.f64 x 6)))) (+.f64 -1728/24389 (*.f64 -27 (pow.f64 x 3))))
(/.f64 (+.f64 2985984/594823321 (.f64 -729 (pow.f64 x 6))) (/.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) -27)) y))
(/.f64 y (/.f64 (fma.f64 (pow.f64 x 3) -27 -1728/24389) (+.f64 2985984/594823321 (*.f64 (pow.f64 x 6) -729))))
(*.f64 (/.f64 y (fma.f64 (pow.f64 x 3) -27 -1728/24389)) (fma.f64 (pow.f64 x 6) -729 2985984/594823321))
(pow.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 1)
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 3) 1/3)
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) 3)
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) 2)
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 2))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y) 3))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) 3) (pow.f64 y 3)))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) 3)))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(exp.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) y)) 1))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(fma.f64 -1728/24389 y (.f64 (.f64 (pow.f64 x 3) 27) y))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(fma.f64 (.f64 (pow.f64 x 3) 27) y (.f64 -1728/24389 y))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(fma.f64 y -1728/24389 (.f64 y (.f64 (pow.f64 x 3) 27)))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(fma.f64 y (.f64 (pow.f64 x 3) 27) (.f64 y -1728/24389))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -36/29))) 1)
(*.f64 x -36/29)
(pow.f64 (*.f64 x -36/29) 1)
(*.f64 x -36/29)
(pow.f64 (cbrt.f64 (*.f64 x -36/29)) 3)
(*.f64 x -36/29)
(pow.f64 (sqrt.f64 (*.f64 x -36/29)) 2)
(*.f64 x -36/29)
(pow.f64 (*.f64 (pow.f64 x 3) -46656/24389) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -46656/24389))
(sqrt.f64 (.f64 (.f64 x x) 1296/841))
(sqrt.f64 (.f64 x (.f64 x 1296/841)))
(log.f64 (pow.f64 (exp.f64 -36/29) x))
(*.f64 x -36/29)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -36/29))))
(*.f64 x -36/29)
(cbrt.f64 (*.f64 (pow.f64 x 3) -46656/24389))
(expm1.f64 (log1p.f64 (*.f64 x -36/29)))
(*.f64 x -36/29)
(log1p.f64 (expm1.f64 (*.f64 x -36/29)))
(*.f64 x -36/29)
(exp.f64 (log.f64 (*.f64 x -36/29)))
(*.f64 x -36/29)
(exp.f64 (.f64 (log.f64 (.f64 x -36/29)) 1))
(*.f64 x -36/29)
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) 9))) 1)
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(pow.f64 (.f64 (.f64 x x) 9) 1)
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) 3)
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(pow.f64 (*.f64 x 3) 2)
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(pow.f64 (*.f64 729 (pow.f64 x 6)) 1/3)
(cbrt.f64 (*.f64 729 (pow.f64 x 6)))
(sqrt.f64 (*.f64 81 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) 9))))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(cbrt.f64 (*.f64 729 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 9)))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 9)))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(exp.f64 (log.f64 (.f64 (.f64 x x) 9)))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) 9)) 1))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))

eval158.0ms (4.4%)

Compiler: Compiled 5803 to 4255 computations (26.7% saved)

prune67.0ms (1.9%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	312	3	315
Fresh	1	3	4
Picked	1	0	1
Done	0	6	6
Total	314	12	326

Error

Counts

326 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(fma.f64 (.f64 y x) 3 (.f64 y -12/29))
▶	26.1b	(/.f64 (.f64 y -1728/24389) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))
✓	0.2b	(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
	13.3b	(.f64 (/.f64 1 (/.f64 (fma.f64 x 3 12/29) (+.f64 (.f64 (*.f64 x x) 9) -144/841))) y)
✓	0.1b	(.f64 (+.f64 (.f64 x 3) -12/29) y)
✓	0.2b	(.f64 (+.f64 x -4/29) (.f64 3 y))
▶	36.6b	(.f64 (.f64 3 x) y)
✓	36.5b	(.f64 x (.f64 y 3))
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
▶	36.6b	(.f64 3 (.f64 y x))
▶	26.1b	(.f64 3 (.f64 y -4/29))
✓	26.0b	(*.f64 -12/29 y)

Compiler

Compiled 182 to 138 computations (24.2% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite46.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (2%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-neg_binary64`
493×	`fma-def_binary64`
327×	`log-prod_binary64`
272×	`div-sub_binary64`
268×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	526
1	239	505
2	1171	491
3	5421	488

Stop Event

1×	node limit

Counts

68 → 50

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 -1 (.f64 y (+.f64 (*.f64 -3 x) 12/29)))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 -1 (.f64 y (+.f64 (*.f64 -3 x) 12/29)))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 -1 (.f64 y (+.f64 (*.f64 -3 x) 12/29)))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 -1 (.f64 y (+.f64 (*.f64 -3 x) 12/29)))
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 x y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 x y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(*.f64 -12/29 y)
(*.f64 y -12/29)
(+.f64 (.f64 y -12/29) (.f64 y (*.f64 x 3)))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 y (.f64 x 3)) (*.f64 y -12/29))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 (.f64 y (.f64 x 3)) 1) (.f64 y -12/29))
(*.f64 (fma.f64 3 x -12/29) y)
(-.f64 (+.f64 1 (fma.f64 (.f64 y x) 3 (.f64 y -12/29))) 1)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (fma.f64 (.f64 y x) 3 (*.f64 y -12/29)) 1)
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 1 (fma.f64 (.f64 y x) 3 (*.f64 y -12/29)))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (cbrt.f64 (fma.f64 (.f64 y x) 3 (.f64 y -12/29))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 y x) 3 (*.f64 y -12/29))) 2))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 y x) 3 (.f64 y -12/29))) 2) (cbrt.f64 (fma.f64 (.f64 y x) 3 (*.f64 y -12/29))))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (sqrt.f64 (fma.f64 (.f64 y x) 3 (.f64 y -12/29))) (sqrt.f64 (fma.f64 (.f64 y x) 3 (*.f64 y -12/29))))
(*.f64 (fma.f64 3 x -12/29) y)
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 x 3)) 3) (pow.f64 (.f64 y -12/29) 3)) (+.f64 (.f64 (.f64 y (.f64 x 3)) (.f64 y (.f64 x 3))) (-.f64 (.f64 (.f64 y y) 144/841) (.f64 (.f64 y (.f64 x 3)) (.f64 y -12/29)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 3 x)) 3) (.f64 (pow.f64 y 3) -1728/24389)) (fma.f64 (.f64 y (.f64 3 x)) (.f64 y (.f64 3 x)) (-.f64 (.f64 y (.f64 y 144/841)) (.f64 y (.f64 (.f64 3 x) (*.f64 y -12/29))))))
(/.f64 (.f64 (pow.f64 y 3) (+.f64 (pow.f64 (.f64 3 x) 3) -1728/24389)) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 9 (.f64 x x)) 144/841)) (.f64 (.f64 y -12/29) (.f64 y (.f64 x -3)))))
(/.f64 (pow.f64 y 3) (/.f64 (fma.f64 y (.f64 y 144/841) (.f64 (.f64 3 (.f64 x y)) (*.f64 y (fma.f64 3 x 12/29)))) (fma.f64 27 (pow.f64 x 3) -1728/24389)))
(/.f64 (.f64 (pow.f64 y 3) (fma.f64 27 (pow.f64 x 3) -1728/24389)) (.f64 y (fma.f64 y (fma.f64 9 (.f64 x x) 144/841) (.f64 (.f64 x -3) (.f64 y -12/29)))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 x 3)) (.f64 y (.f64 x 3))) (.f64 (.f64 y y) 144/841)) (-.f64 (.f64 y (.f64 x 3)) (.f64 y -12/29)))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 3 x)) (.f64 y (.f64 3 x))) (.f64 y (.f64 y 144/841))) (.f64 y (-.f64 (*.f64 3 x) -12/29)))
(/.f64 (.f64 (.f64 y y) (-.f64 (.f64 9 (.f64 x x)) 144/841)) (*.f64 y (fma.f64 3 x 12/29)))
(.f64 (/.f64 y 1) (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 3 x 12/29)))
(/.f64 (.f64 y (fma.f64 9 (.f64 x x) -144/841)) (fma.f64 3 x 12/29))
(pow.f64 (fma.f64 (.f64 y x) 3 (.f64 y -12/29)) 1)
(*.f64 (fma.f64 3 x -12/29) y)
(pow.f64 (pow.f64 (fma.f64 (.f64 y x) 3 (.f64 y -12/29)) 3) 1/3)
(*.f64 (fma.f64 3 x -12/29) y)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 y x) 3 (.f64 y -12/29))) 3)
(*.f64 (fma.f64 3 x -12/29) y)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 y x) 3 (.f64 y -12/29))) 2)
(*.f64 (fma.f64 3 x -12/29) y)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 y x) 3 (.f64 y -12/29)) 2))
(*.f64 (fma.f64 3 x -12/29) y)
(log.f64 (exp.f64 (fma.f64 (.f64 y x) 3 (.f64 y -12/29))))
(*.f64 (fma.f64 3 x -12/29) y)
(cbrt.f64 (pow.f64 (fma.f64 (.f64 y x) 3 (.f64 y -12/29)) 3))
(*.f64 (fma.f64 3 x -12/29) y)
(expm1.f64 (log1p.f64 (fma.f64 (.f64 y x) 3 (.f64 y -12/29))))
(*.f64 (fma.f64 3 x -12/29) y)
(log1p.f64 (expm1.f64 (fma.f64 (.f64 y x) 3 (.f64 y -12/29))))
(*.f64 (fma.f64 3 x -12/29) y)
(exp.f64 (log.f64 (fma.f64 (.f64 y x) 3 (.f64 y -12/29))))
(*.f64 (fma.f64 3 x -12/29) y)
(-.f64 (+.f64 1 (*.f64 y -12/29)) 1)
(*.f64 y -12/29)
(pow.f64 (*.f64 y -12/29) 1)
(*.f64 y -12/29)
(pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3)
(*.f64 y -12/29)
(pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)
(*.f64 y -12/29)
(pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)
(*.f64 y -12/29)
(sqrt.f64 (.f64 (.f64 y y) 144/841))
(*.f64 y -12/29)
(log.f64 (pow.f64 (exp.f64 -12/29) y))
(*.f64 y -12/29)
(cbrt.f64 (pow.f64 (*.f64 y -12/29) 3))
(*.f64 y -12/29)
(expm1.f64 (log1p.f64 (*.f64 y -12/29)))
(*.f64 y -12/29)
(log1p.f64 (expm1.f64 (*.f64 y -12/29)))
(*.f64 y -12/29)
(exp.f64 (log.f64 (*.f64 y -12/29)))
(*.f64 y -12/29)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y -4/29)
✓	0.2b	(.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))

rewrite58.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify41.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

582×	`log-prod_binary64`
495×	`distribute-rgt-in_binary64`
478×	`distribute-lft-in_binary64`
445×	`associate-l_binary64`
388×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	184
1	131	184
2	492	184
3	2984	184

Stop Event

1×	node limit

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)
(-.f64 (+.f64 1 (*.f64 y -12/29)) 1)
(pow.f64 (*.f64 y -12/29) 1)
(pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)
(pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)
(sqrt.f64 (pow.f64 (*.f64 y -12/29) 2))
(log.f64 (exp.f64 (*.f64 y -12/29)))
(cbrt.f64 (pow.f64 (*.f64 y -12/29) 3))
(expm1.f64 (log1p.f64 (*.f64 y -12/29)))
(log1p.f64 (expm1.f64 (*.f64 y -12/29)))
(exp.f64 (log.f64 (*.f64 y -12/29)))
(-.f64 (+.f64 1 (*.f64 y -4/29)) 1)
(pow.f64 (*.f64 y -4/29) 1)
(pow.f64 (pow.f64 (*.f64 y -4/29) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y -4/29)) 3)
(pow.f64 (sqrt.f64 (*.f64 y -4/29)) 2)
(sqrt.f64 (.f64 (.f64 y y) 16/841))
(log.f64 (pow.f64 (exp.f64 -4/29) y))
(cbrt.f64 (pow.f64 (*.f64 y -4/29) 3))
(expm1.f64 (log1p.f64 (*.f64 y -4/29)))
(log1p.f64 (expm1.f64 (*.f64 y -4/29)))
(exp.f64 (log.f64 (*.f64 y -4/29)))

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)
(-.f64 (+.f64 1 (*.f64 y -12/29)) 1)
(*.f64 -12/29 y)
(pow.f64 (*.f64 y -12/29) 1)
(*.f64 -12/29 y)
(pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3)
(*.f64 -12/29 y)
(pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)
(*.f64 -12/29 y)
(pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)
(*.f64 -12/29 y)
(sqrt.f64 (pow.f64 (*.f64 y -12/29) 2))
(*.f64 -12/29 y)
(log.f64 (exp.f64 (*.f64 y -12/29)))
(*.f64 -12/29 y)
(cbrt.f64 (pow.f64 (*.f64 y -12/29) 3))
(*.f64 -12/29 y)
(expm1.f64 (log1p.f64 (*.f64 y -12/29)))
(*.f64 -12/29 y)
(log1p.f64 (expm1.f64 (*.f64 y -12/29)))
(*.f64 -12/29 y)
(exp.f64 (log.f64 (*.f64 y -12/29)))
(*.f64 -12/29 y)
(-.f64 (+.f64 1 (*.f64 y -4/29)) 1)
(*.f64 y -4/29)
(pow.f64 (*.f64 y -4/29) 1)
(*.f64 y -4/29)
(pow.f64 (pow.f64 (*.f64 y -4/29) 3) 1/3)
(*.f64 y -4/29)
(pow.f64 (cbrt.f64 (*.f64 y -4/29)) 3)
(*.f64 y -4/29)
(pow.f64 (sqrt.f64 (*.f64 y -4/29)) 2)
(*.f64 y -4/29)
(sqrt.f64 (.f64 (.f64 y y) 16/841))
(*.f64 y -4/29)
(log.f64 (pow.f64 (exp.f64 -4/29) y))
(*.f64 y -4/29)
(cbrt.f64 (pow.f64 (*.f64 y -4/29) 3))
(*.f64 y -4/29)
(expm1.f64 (log1p.f64 (*.f64 y -4/29)))
(*.f64 y -4/29)
(log1p.f64 (expm1.f64 (*.f64 y -4/29)))
(*.f64 y -4/29)
(exp.f64 (log.f64 (*.f64 y -4/29)))
(*.f64 y -4/29)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series26.0ms (0.7%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	y	@	inf	(.f64 (.f64 3 x) y)
0.0ms	x	@	0	(.f64 (.f64 3 x) y)
0.0ms	x	@	inf	(.f64 (.f64 3 x) y)
0.0ms	y	@	-inf	(.f64 (.f64 3 x) y)
0.0ms	x	@	-inf	(.f64 (.f64 3 x) y)

rewrite36.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`pow1_binary64`
513×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
502×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1398	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify40.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

527×	`log-prod_binary64`
521×	`distribute-rgt-in_binary64`
508×	`distribute-lft-in_binary64`
490×	`*-commutative_binary64`
397×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	245
1	84	245
2	321	245
3	2298	245
4	7031	245

Stop Event

1×	node limit

Counts

35 → 14

Calls

Call 1

Inputs
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(-.f64 (+.f64 1 (.f64 3 (.f64 x y))) 1)
(pow.f64 (.f64 3 (.f64 x y)) 1)
(pow.f64 (pow.f64 (.f64 3 (.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 x y))) 3)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 x y))) 2)
(sqrt.f64 (pow.f64 (.f64 3 (.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 3 x)))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 x y)) 3))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 x y))))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 x y))))
(exp.f64 (log.f64 (.f64 3 (.f64 x y))))

Outputs
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(-.f64 (+.f64 1 (.f64 3 (.f64 x y))) 1)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(pow.f64 (.f64 3 (.f64 x y)) 1)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(pow.f64 (pow.f64 (.f64 3 (.f64 x y)) 3) 1/3)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 x y))) 3)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(pow.f64 (sqrt.f64 (.f64 3 (.f64 x y))) 2)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(sqrt.f64 (pow.f64 (.f64 3 (.f64 x y)) 2))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 3 x)))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 x y)) 3))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 x y))))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 x y))))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(exp.f64 (log.f64 (.f64 3 (.f64 x y))))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))

localize35.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 x x) 9)
	0.2b	(*.f64 x -36/29)
✓	0.2b	(*.f64 y -1728/24389)
✓	1.4b	(/.f64 (.f64 y -1728/24389) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))

Compiler

Compiled 53 to 34 computations (35.8% saved)

series6.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 (.f64 y -1728/24389) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))
1.0ms	x	@	inf	(/.f64 (.f64 y -1728/24389) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))
1.0ms	x	@	-inf	(/.f64 (.f64 y -1728/24389) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))
1.0ms	y	@	-inf	(/.f64 (.f64 y -1728/24389) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))
1.0ms	y	@	inf	(/.f64 (.f64 y -1728/24389) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))

rewrite63.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

741×	`log-prod_binary64`
413×	`fma-def_binary64`
273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`
272×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	24
1	320	24
2	4274	22

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(/.f64 (.f64 y -1728/24389) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))
(*.f64 y -1728/24389)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))) (cbrt.f64 (exp.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) -24389/1728)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 -1728/24389 (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1728/24389 (*.f64 y (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -1728/24389) (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))) (pow.f64 (cbrt.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))) 2) (cbrt.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y -1728/24389)) 2) (*.f64 (cbrt.f64 (*.f64 y -1728/24389)) (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))) (sqrt.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y -1728/24389)) (*.f64 (sqrt.f64 (*.f64 y -1728/24389)) (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1728/24389) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))) (*.f64 y -1728/24389))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 -1728/24389 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))) -1728/24389)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -1728/24389)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y -1728/24389)) (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y -1728/24389)) 1) (/.f64 (sqrt.f64 (*.f64 y -1728/24389)) (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))) 2)) (/.f64 -1728/24389 (cbrt.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1728/24389 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))) 2)) (/.f64 y (cbrt.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))) 2)) (/.f64 (*.f64 y -1728/24389) (cbrt.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -1728/24389)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))) 2)) (cbrt.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y -1728/24389)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))) 2)) (/.f64 (sqrt.f64 (*.f64 y -1728/24389)) (cbrt.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 36/29 144/841)))) (/.f64 -1728/24389 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1728/24389 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 36/29 144/841)))) (/.f64 y (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 36/29 144/841)))) (/.f64 (*.f64 y -1728/24389) (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -1728/24389)) 2) (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 36/29 144/841)))) (/.f64 (cbrt.f64 (*.f64 y -1728/24389)) (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y -1728/24389) (fma.f64 (pow.f64 (*.f64 x x) 3) 729 (pow.f64 (fma.f64 x 36/29 144/841) 3))) (fma.f64 (fma.f64 x 36/29 144/841) (-.f64 (fma.f64 x 36/29 144/841) (*.f64 x (*.f64 x 9))) (*.f64 (pow.f64 x 4) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y -1728/24389) (fma.f64 (pow.f64 x 4) 81 (neg.f64 (pow.f64 (fma.f64 x 36/29 144/841) 2)))) (-.f64 (*.f64 x (*.f64 x 9)) (fma.f64 x 36/29 144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) (*.f64 y -1728/24389)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 y -1728/24389) 3) (pow.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) (*.f64 y -1728/24389)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y -1728/24389) (neg.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y -1728/24389))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1728/24389) y)) (cbrt.f64 (pow.f64 (exp.f64 -1728/24389) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1728/24389) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1728/24389) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1728/24389) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y -1728/24389))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -1728/24389) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y -1728/24389) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -1728/24389)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -1728/24389)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 2985984/594823321))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1728/24389) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y -1728/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y -1728/24389) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -1728/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -1728/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -1728/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y -1728/24389)) 1))))))

simplify57.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

615×	`times-frac_binary64`
546×	`distribute-rgt-in_binary64`
521×	`distribute-lft-in_binary64`
363×	`unswap-sqr_binary64`
198×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	2035
1	647	1776
2	2600	1621

Stop Event

1×	node limit

Counts

102 → 120

Calls

Call 1

Inputs
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(*.f64 -12/29 y)
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(*.f64 -192/24389 (/.f64 y (pow.f64 x 2)))
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(*.f64 -192/24389 (/.f64 y (pow.f64 x 2)))
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(+.f64 (.f64 1728/24389 (/.f64 (+.f64 (.f64 -16/7569 y) (.f64 16/7569 y)) (pow.f64 x 4))) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 768/707281 (/.f64 y (pow.f64 x 3))) (.f64 -1728/24389 (/.f64 (+.f64 (.f64 4/29 (+.f64 (.f64 -16/7569 y) (.f64 16/7569 y))) (.f64 64/219501 y)) (pow.f64 x 5))))))
(*.f64 -1728/24389 y)
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(*.f64 -1728/24389 y)
(*.f64 -1728/24389 y)
(*.f64 -1728/24389 y)
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(*.f64 -1728/24389 y)
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(*.f64 -1728/24389 y)
(*.f64 -1728/24389 y)
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(-.f64 (exp.f64 (log1p.f64 (.f64 -1728/24389 (/.f64 y (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)))))) 1)
(.f64 y (/.f64 1 (.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)) -24389/1728)))
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(.f64 -1728/24389 (/.f64 y (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))))
(.f64 -1728/24389 (.f64 y (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
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(.f64 (pow.f64 (cbrt.f64 (.f64 -1728/24389 (/.f64 y (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))))) 2) (cbrt.f64 (.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 y -1728/24389)) 2) (.f64 (cbrt.f64 (.f64 y -1728/24389)) (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
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(.f64 (sqrt.f64 (.f64 y -1728/24389)) (.f64 (sqrt.f64 (.f64 y -1728/24389)) (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 (.f64 y 1728/24389) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))) (*.f64 y -1728/24389))
(.f64 (/.f64 y 1) (/.f64 -1728/24389 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))))
(.f64 (/.f64 y (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))) -1728/24389)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y -1728/24389)) 2) 1) (/.f64 (cbrt.f64 (.f64 y -1728/24389)) (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))))
(.f64 (/.f64 (sqrt.f64 (.f64 y -1728/24389)) 1) (/.f64 (sqrt.f64 (.f64 y -1728/24389)) (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))))
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(.f64 (/.f64 -1728/24389 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))) 2)) (/.f64 y (cbrt.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))) 2)) (/.f64 (.f64 y -1728/24389) (cbrt.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)))))
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(.f64 (/.f64 (sqrt.f64 (.f64 y -1728/24389)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))) 2)) (/.f64 (sqrt.f64 (.f64 y -1728/24389)) (cbrt.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 (/.f64 y (hypot.f64 (.f64 x 3) (sqrt.f64 (fma.f64 x 36/29 144/841)))) (/.f64 -1728/24389 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 36/29 144/841)))))
(.f64 (/.f64 -1728/24389 (hypot.f64 (.f64 x 3) (sqrt.f64 (fma.f64 x 36/29 144/841)))) (/.f64 y (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 36/29 144/841)))))
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(sqrt.f64 (.f64 (.f64 y y) 2985984/594823321))
(log.f64 (pow.f64 (exp.f64 -1728/24389) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y -1728/24389))))
(cbrt.f64 (pow.f64 (*.f64 y -1728/24389) 3))
(expm1.f64 (log1p.f64 (*.f64 y -1728/24389)))
(log1p.f64 (expm1.f64 (*.f64 y -1728/24389)))
(exp.f64 (log.f64 (*.f64 y -1728/24389)))
(exp.f64 (.f64 (log.f64 (.f64 y -1728/24389)) 1))

Outputs
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 -1728/24389 (/.f64 y (-.f64 (+.f64 144/841 (.f64 9 (pow.f64 x 2))) (*.f64 -36/29 x))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(*.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 y (.f64 x 3)))
(.f64 y (+.f64 -12/29 (.f64 x 3)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 1728/24389 (.f64 (pow.f64 x 2) (+.f64 (.f64 707281/2304 y) (.f64 -707281/2304 y)))) (*.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 -12/29 (.f64 x 3)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 1728/24389 (.f64 (+.f64 (.f64 -20511149/9216 y) (.f64 -29/4 (+.f64 (.f64 707281/2304 y) (.f64 -707281/2304 y)))) (pow.f64 x 3))) (+.f64 (.f64 1728/24389 (.f64 (pow.f64 x 2) (+.f64 (.f64 707281/2304 y) (.f64 -707281/2304 y)))) (*.f64 -12/29 y))))
(fma.f64 3 (.f64 y x) (fma.f64 1728/24389 (.f64 (fma.f64 -20511149/9216 y (.f64 -29/4 (.f64 y 0))) (pow.f64 x 3)) (fma.f64 1728/24389 (.f64 (.f64 y 0) (.f64 x x)) (.f64 y -12/29))))
(fma.f64 3 (.f64 y x) (fma.f64 1728/24389 (.f64 (fma.f64 y -20511149/9216 0) (pow.f64 x 3)) (fma.f64 y -12/29 (.f64 x (.f64 x 0)))))
(fma.f64 3 (.f64 y x) (fma.f64 1728/24389 (.f64 (.f64 y -20511149/9216) (pow.f64 x 3)) (.f64 y -12/29)))
(*.f64 -192/24389 (/.f64 y (pow.f64 x 2)))
(.f64 -192/24389 (/.f64 y (.f64 x x)))
(+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (.f64 768/707281 (/.f64 y (pow.f64 x 3))))
(fma.f64 -192/24389 (/.f64 y (.f64 x x)) (.f64 768/707281 (/.f64 y (pow.f64 x 3))))
(fma.f64 -192/24389 (/.f64 y (*.f64 x x)) (/.f64 768/707281 (/.f64 (pow.f64 x 3) y)))
(.f64 (/.f64 y (.f64 x x)) (+.f64 -192/24389 (/.f64 768/707281 x)))
(+.f64 (.f64 1728/24389 (/.f64 (+.f64 (.f64 -16/7569 y) (.f64 16/7569 y)) (pow.f64 x 4))) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (*.f64 768/707281 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -192/24389 (/.f64 y (.f64 x x)) (.f64 768/707281 (/.f64 y (pow.f64 x 3))))
(fma.f64 -192/24389 (/.f64 y (*.f64 x x)) (/.f64 768/707281 (/.f64 (pow.f64 x 3) y)))
(.f64 (/.f64 y (.f64 x x)) (+.f64 -192/24389 (/.f64 768/707281 x)))
(+.f64 (.f64 1728/24389 (/.f64 (+.f64 (.f64 -64/219501 y) (.f64 -4/29 (+.f64 (.f64 -16/7569 y) (.f64 16/7569 y)))) (pow.f64 x 5))) (+.f64 (.f64 1728/24389 (/.f64 (+.f64 (.f64 -16/7569 y) (.f64 16/7569 y)) (pow.f64 x 4))) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (.f64 768/707281 (/.f64 y (pow.f64 x 3))))))
(fma.f64 1728/24389 (/.f64 (fma.f64 -64/219501 y (.f64 (.f64 y 0) -4/29)) (pow.f64 x 5)) (fma.f64 1728/24389 (/.f64 (.f64 y 0) (pow.f64 x 4)) (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (*.f64 768/707281 (/.f64 y (pow.f64 x 3))))))
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(fma.f64 1728/24389 (/.f64 (.f64 y -64/219501) (pow.f64 x 5)) (.f64 (/.f64 y (*.f64 x x)) (+.f64 -192/24389 (/.f64 768/707281 x))))
(*.f64 -192/24389 (/.f64 y (pow.f64 x 2)))
(.f64 -192/24389 (/.f64 y (.f64 x x)))
(+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (.f64 768/707281 (/.f64 y (pow.f64 x 3))))
(fma.f64 -192/24389 (/.f64 y (.f64 x x)) (.f64 768/707281 (/.f64 y (pow.f64 x 3))))
(fma.f64 -192/24389 (/.f64 y (*.f64 x x)) (/.f64 768/707281 (/.f64 (pow.f64 x 3) y)))
(.f64 (/.f64 y (.f64 x x)) (+.f64 -192/24389 (/.f64 768/707281 x)))
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(fma.f64 -192/24389 (/.f64 y (.f64 x x)) (.f64 768/707281 (/.f64 y (pow.f64 x 3))))
(fma.f64 -192/24389 (/.f64 y (*.f64 x x)) (/.f64 768/707281 (/.f64 (pow.f64 x 3) y)))
(.f64 (/.f64 y (.f64 x x)) (+.f64 -192/24389 (/.f64 768/707281 x)))
(+.f64 (.f64 1728/24389 (/.f64 (+.f64 (.f64 -16/7569 y) (.f64 16/7569 y)) (pow.f64 x 4))) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 768/707281 (/.f64 y (pow.f64 x 3))) (.f64 -1728/24389 (/.f64 (+.f64 (.f64 4/29 (+.f64 (.f64 -16/7569 y) (.f64 16/7569 y))) (.f64 64/219501 y)) (pow.f64 x 5))))))
(fma.f64 1728/24389 (/.f64 (.f64 y 0) (pow.f64 x 4)) (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (fma.f64 768/707281 (/.f64 y (pow.f64 x 3)) (.f64 -1728/24389 (/.f64 (fma.f64 4/29 (.f64 y 0) (*.f64 y 64/219501)) (pow.f64 x 5))))))
(+.f64 (/.f64 0 (pow.f64 x 4)) (fma.f64 -192/24389 (/.f64 y (*.f64 x x)) (fma.f64 -1728/24389 (/.f64 (fma.f64 y 64/219501 0) (pow.f64 x 5)) (/.f64 768/707281 (/.f64 (pow.f64 x 3) y)))))
(+.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 -192/24389 (/.f64 768/707281 x))) (/.f64 (.f64 -1728/24389 (.f64 y 64/219501)) (pow.f64 x 5)))
(*.f64 -1728/24389 y)
(*.f64 -1728/24389 y)
(*.f64 -1728/24389 y)
(*.f64 -1728/24389 y)
(*.f64 -1728/24389 y)
(*.f64 -1728/24389 y)
(*.f64 -1728/24389 y)
(*.f64 -1728/24389 y)
(*.f64 -1728/24389 y)
(*.f64 -1728/24389 y)
(*.f64 -1728/24389 y)
(*.f64 -1728/24389 y)
(+.f64 0 (.f64 -1728/24389 (/.f64 y (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 -1728/24389 (/.f64 y (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)))))) (cbrt.f64 (exp.f64 (.f64 -1728/24389 (/.f64 y (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1728/24389) (/.f64 y (fma.f64 x (.f64 9 x) (fma.f64 x 36/29 144/841))))) (cbrt.f64 (pow.f64 (exp.f64 -1728/24389) (/.f64 y (fma.f64 x (.f64 9 x) (fma.f64 x 36/29 144/841))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1728/24389) (/.f64 y (fma.f64 x (.f64 9 x) (fma.f64 x 36/29 144/841)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1728/24389) (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1728/24389) (/.f64 y (fma.f64 9 (*.f64 x x) (fma.f64 x 36/29 144/841)))))))
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(-.f64 (exp.f64 (log1p.f64 (.f64 -1728/24389 (/.f64 y (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841)))))) 1)
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
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(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
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(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
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(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
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(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
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(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 -1728/24389 (/.f64 y (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
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(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 -1728/24389 (.f64 y (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
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(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
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(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 (.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))) 1)
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
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(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 1 (.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 (cbrt.f64 (.f64 -1728/24389 (/.f64 y (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))))) (pow.f64 (cbrt.f64 (.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))) 2))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
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(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 (pow.f64 (cbrt.f64 (.f64 -1728/24389 (/.f64 y (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))))) 2) (cbrt.f64 (.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y -1728/24389)) 2) (.f64 (cbrt.f64 (.f64 y -1728/24389)) (/.f64 1 (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841)))))
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(log1p.f64 (expm1.f64 (.f64 -1728/24389 (/.f64 y (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(exp.f64 (log.f64 (.f64 -1728/24389 (/.f64 y (fma.f64 x (.f64 x 9) (fma.f64 x 36/29 144/841))))))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(exp.f64 (.f64 (log.f64 (.f64 -1728/24389 (/.f64 y (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))))) 1))
(.f64 -1728/24389 (/.f64 y (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x -36/29)))))
(.f64 -1728/24389 (/.f64 y (fma.f64 9 (.f64 x x) (fma.f64 x 36/29 144/841))))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(+.f64 0 (*.f64 y -1728/24389))
(*.f64 -1728/24389 y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1728/24389) y)) (cbrt.f64 (pow.f64 (exp.f64 -1728/24389) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1728/24389) y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1728/24389) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1728/24389) y))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (.f64 -1728/24389 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1728/24389) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1728/24389) y))))
(*.f64 -1728/24389 y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y -1728/24389))) 1)
(*.f64 -1728/24389 y)
(pow.f64 (*.f64 y -1728/24389) 1)
(*.f64 -1728/24389 y)
(pow.f64 (pow.f64 (*.f64 y -1728/24389) 3) 1/3)
(*.f64 -1728/24389 y)
(pow.f64 (cbrt.f64 (*.f64 y -1728/24389)) 3)
(*.f64 -1728/24389 y)
(pow.f64 (sqrt.f64 (*.f64 y -1728/24389)) 2)
(*.f64 -1728/24389 y)
(sqrt.f64 (.f64 (.f64 y y) 2985984/594823321))
(sqrt.f64 (.f64 y (.f64 y 2985984/594823321)))
(fabs.f64 (*.f64 -1728/24389 y))
(log.f64 (pow.f64 (exp.f64 -1728/24389) y))
(*.f64 -1728/24389 y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y -1728/24389))))
(*.f64 -1728/24389 y)
(cbrt.f64 (pow.f64 (*.f64 y -1728/24389) 3))
(*.f64 -1728/24389 y)
(expm1.f64 (log1p.f64 (*.f64 y -1728/24389)))
(*.f64 -1728/24389 y)
(log1p.f64 (expm1.f64 (*.f64 y -1728/24389)))
(*.f64 -1728/24389 y)
(exp.f64 (log.f64 (*.f64 y -1728/24389)))
(*.f64 -1728/24389 y)
(exp.f64 (.f64 (log.f64 (.f64 y -1728/24389)) 1))
(*.f64 -1728/24389 y)

eval89.0ms (2.5%)

Compiler: Compiled 4172 to 2991 computations (28.3% saved)

prune39.0ms (1.1%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	252	1	253
Fresh	1	0	1
Picked	0	1	1
Done	0	10	10
Total	253	12	265

Error

Counts

265 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f64 (.f64 y x) 3 (.f64 y -12/29))
✓	26.1b	(/.f64 (.f64 y -1728/24389) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))
▶	26.1b	(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
✓	0.2b	(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
✓	0.1b	(.f64 (+.f64 (.f64 x 3) -12/29) y)
✓	0.2b	(.f64 (+.f64 x -4/29) (.f64 3 y))
✓	36.6b	(.f64 (.f64 3 x) y)
✓	36.5b	(.f64 x (.f64 y 3))
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	36.6b	(.f64 3 (.f64 y x))
✓	26.1b	(.f64 3 (.f64 y -4/29))
✓	26.0b	(*.f64 -12/29 y)

Compiler

Compiled 112 to 85 computations (24.1% saved)

localize20.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 9 x 36/29)
✓	0.2b	(*.f64 x (fma.f64 9 x 36/29))
✓	0.3b	(.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)
✓	1.6b	(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))

Compiler

Compiled 48 to 36 computations (25% saved)

series8.0ms (0.2%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
1.0ms	y	@	inf	(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
1.0ms	y	@	-inf	(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
1.0ms	x	@	inf	(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
1.0ms	x	@	-inf	(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))

rewrite67.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

571×	`log-prod_binary64`
319×	`pow2_binary64`
316×	`pow-prod-down_binary64`
223×	`pow1/3_binary64`
223×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	258	39
2	3160	39

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

Inputs
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)
(*.f64 x (fma.f64 9 x 36/29))
(fma.f64 9 x 36/29)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1 (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))) 2) (cbrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) 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-24389/1728)) (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) 29/12) 841/144))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (-.f64 841/144 (.f64 (pow.f64 (.f64 x (fma.f64 x 9 36/29)) 2) 594823321/2985984))) (+.f64 -29/12 (.f64 24389/1728 (.f64 x (fma.f64 x 9 36/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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-29/12)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12) y)) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -24389/1728) x) (fma.f64 x 9 36/29))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -24389/1728) x) (fma.f64 x 9 36/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -24389/1728) x) (fma.f64 x 9 36/29)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -24389/1728) x) (fma.f64 x 9 36/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x (fma.f64 x 9 36/29)) 2) 594823321/2985984) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x (fma.f64 x 9 36/29)) 3) -14507145975869/5159780352) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 x (fma.f64 x 9 36/29)) 2) 594823321/2985984))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -24389/1728) x) (fma.f64 x 9 36/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x (fma.f64 x 9 36/29)) 3) -14507145975869/5159780352))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (*.f64 (fma.f64 x 9 36/29) -24389/1728)))) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 x 9 36/29)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 9) x) (.f64 36/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 9)) (.f64 x 36/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 9 36/29)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 9 36/29)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 9 36/29)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 9 36/29)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x 9 36/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x 9 36/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 9 36/29)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 9 36/29)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 9 36/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x 9 36/29))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x 9 36/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 9 36/29)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x 9 36/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 9 36/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x 9 36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x 9 36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x 9 36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 9 36/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (fma.f64 x 9 36/29)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x 9 36/29)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x 9 36/29)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x 9) (.f64 x 36/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 9) x (.f64 36/29 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 36/29 (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 9) 36/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 9 36/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 9) 1) 36/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 9 36/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 9 36/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 9 36/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 9 36/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 36/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 9 36/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 9 36/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 9 36/29)) (cbrt.f64 (pow.f64 (fma.f64 x 9 36/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 36/29) 2)) (cbrt.f64 (fma.f64 x 9 36/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 9 36/29)) (sqrt.f64 (fma.f64 x 9 36/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 9) 3) 46656/24389) (+.f64 (pow.f64 (.f64 x 9) 2) (-.f64 1296/841 (.f64 (.f64 x 9) 36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x 9) 2) 1296/841) (fma.f64 x 9 -36/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 9 36/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 36/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 36/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 9 36/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 36/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 9 36/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 9 36/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 9 36/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 9 36/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 9 36/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 9 36/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 9 36/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 9 36/29))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x 9 36/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 9 36/29))) 2))))))

simplify68.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

545×	`unswap-sqr_binary64`
344×	`associate-/l*_binary64`
277×	`log-prod_binary64`
250×	`associate-*l/_binary64`
231×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	2323
1	879	2206
2	3038	2132

Stop Event

1×	node limit

Counts

179 → 207

Calls

Call 1

Inputs
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 -1 (.f64 (+.f64 (.f64 87/4 y) (*.f64 -87/4 y)) (pow.f64 x 2)))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -29/4 (+.f64 (.f64 87/4 y) (.f64 -87/4 y))) (.f64 2523/16 y)) (pow.f64 x 3))) (+.f64 (.f64 -12/29 y) (.f64 -1 (.f64 (+.f64 (.f64 87/4 y) (*.f64 -87/4 y)) (pow.f64 x 2))))))
(*.f64 -192/24389 (/.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (.f64 768/707281 (/.f64 y (pow.f64 x 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3072/20511149 y) (.f64 -3072/20511149 y)) (pow.f64 x 4))) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (*.f64 768/707281 (/.f64 y (pow.f64 x 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3072/20511149 y) (.f64 -3072/20511149 y)) (pow.f64 x 4))) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 768/707281 (/.f64 y (pow.f64 x 3))) (.f64 -1 (/.f64 (+.f64 (.f64 12288/594823321 y) (.f64 -4/29 (+.f64 (.f64 3072/20511149 y) (.f64 -3072/20511149 y)))) (pow.f64 x 5))))))
(*.f64 -192/24389 (/.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (.f64 768/707281 (/.f64 y (pow.f64 x 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3072/20511149 y) (.f64 -3072/20511149 y)) (pow.f64 x 4))) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (*.f64 768/707281 (/.f64 y (pow.f64 x 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3072/20511149 y) (.f64 -3072/20511149 y)) (pow.f64 x 4))) (+.f64 (.f64 -12288/594823321 (/.f64 y (pow.f64 x 5))) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 768/707281 (/.f64 y (pow.f64 x 3))) (.f64 4/29 (/.f64 (+.f64 (.f64 3072/20511149 y) (*.f64 -3072/20511149 y)) (pow.f64 x 5)))))))
(*.f64 -841/48 x)
(+.f64 (.f64 -24389/192 (pow.f64 x 2)) (.f64 -841/48 x))
(+.f64 (.f64 -24389/192 (pow.f64 x 2)) (.f64 -841/48 x))
(+.f64 (.f64 -24389/192 (pow.f64 x 2)) (.f64 -841/48 x))
(*.f64 -24389/192 (pow.f64 x 2))
(+.f64 (.f64 -24389/192 (pow.f64 x 2)) (.f64 -841/48 x))
(+.f64 (.f64 -24389/192 (pow.f64 x 2)) (.f64 -841/48 x))
(+.f64 (.f64 -24389/192 (pow.f64 x 2)) (.f64 -841/48 x))
(*.f64 -24389/192 (pow.f64 x 2))
(+.f64 (.f64 -24389/192 (pow.f64 x 2)) (.f64 -841/48 x))
(+.f64 (.f64 -24389/192 (pow.f64 x 2)) (.f64 -841/48 x))
(+.f64 (.f64 -24389/192 (pow.f64 x 2)) (.f64 -841/48 x))
(*.f64 36/29 x)
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))
36/29
(+.f64 36/29 (*.f64 9 x))
(+.f64 36/29 (*.f64 9 x))
(+.f64 36/29 (*.f64 9 x))
(*.f64 9 x)
(+.f64 36/29 (*.f64 9 x))
(+.f64 36/29 (*.f64 9 x))
(+.f64 36/29 (*.f64 9 x))
(*.f64 9 x)
(+.f64 36/29 (*.f64 9 x))
(+.f64 36/29 (*.f64 9 x))
(+.f64 36/29 (*.f64 9 x))
(+.f64 0 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12)))) 1)
(.f64 y (/.f64 1 (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)))
(.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)) 1)
(.f64 1 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))))
(.f64 (cbrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))) 2) (cbrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))))
(.f64 (sqrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))) (sqrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))))
(.f64 (neg.f64 y) (/.f64 1 (neg.f64 (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))))
(.f64 (/.f64 1 (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)) y)
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)))
(.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)) -2) (/.f64 y (cbrt.f64 (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)) 2)) (cbrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))))
(.f64 (pow.f64 (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12) -1/2) (/.f64 y (sqrt.f64 (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))) (/.f64 (cbrt.f64 y) (sqrt.f64 (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))))
(.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 x (fma.f64 x 9 36/29)) 3) -14507145975869/5159780352 -24389/1728)) (fma.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728)) (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) 29/12) 841/144))
(.f64 (/.f64 y (-.f64 841/144 (.f64 (pow.f64 (.f64 x (fma.f64 x 9 36/29)) 2) 594823321/2985984))) (+.f64 -29/12 (.f64 24389/1728 (*.f64 x (fma.f64 x 9 36/29)))))
(pow.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12)) 1)
(pow.f64 (pow.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12) y) -1)
(pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12) y) 1) -1)
(neg.f64 (/.f64 y (neg.f64 (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))))
(sqrt.f64 (pow.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12)) 2))
(log.f64 (exp.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12)))))
(cbrt.f64 (pow.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))))
(log1p.f64 (expm1.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))))
(exp.f64 (log.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12))))
(exp.f64 (.f64 (log.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (*.f64 x -24389/1728) -29/12)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 x 9 36/29) (.f64 x -24389/1728) -29/12) y)) -1))
(+.f64 0 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -24389/1728) x) (fma.f64 x 9 36/29))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -24389/1728) x) (fma.f64 x 9 36/29)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -24389/1728) x) (fma.f64 x 9 36/29)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -24389/1728) x) (fma.f64 x 9 36/29)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728)))) 1)
(pow.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728)) 1)
(pow.f64 (.f64 (pow.f64 (.f64 x (fma.f64 x 9 36/29)) 2) 594823321/2985984) 1/2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728))) 3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 x (fma.f64 x 9 36/29)) 3) -14507145975869/5159780352) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 x (fma.f64 x 9 36/29)) 2) 594823321/2985984))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -24389/1728) x) (fma.f64 x 9 36/29)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (fma.f64 x 9 36/29)) 3) -14507145975869/5159780352))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728))))
(exp.f64 (log.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (fma.f64 x 9 36/29) -24389/1728))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 (fma.f64 x 9 36/29) -24389/1728)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 (fma.f64 x 9 36/29) -24389/1728)))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 (fma.f64 x 9 36/29) -24389/1728)))) 1/3))
(+.f64 0 (*.f64 x (fma.f64 x 9 36/29)))
(+.f64 (.f64 (.f64 x 9) x) (*.f64 36/29 x))
(+.f64 (.f64 x (.f64 x 9)) (*.f64 x 36/29))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 9 36/29)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 9 36/29)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 9 36/29)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 9 36/29)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 9 36/29)))) 1)
(pow.f64 (*.f64 x (fma.f64 x 9 36/29)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 9 36/29)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 9 36/29)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 9 36/29))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 9 36/29))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 36/29)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 9 36/29)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 9 36/29)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 36/29)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 9 36/29))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 9 36/29))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 9 36/29))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 9 36/29))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (fma.f64 x 9 36/29)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x 9 36/29)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x 9 36/29)))) 2))
(fma.f64 x (.f64 x 9) (.f64 x 36/29))
(fma.f64 (.f64 x 9) x (.f64 36/29 x))
(+.f64 36/29 (*.f64 x 9))
(+.f64 (*.f64 x 9) 36/29)
(+.f64 0 (fma.f64 x 9 36/29))
(+.f64 (.f64 (.f64 x 9) 1) 36/29)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 9 36/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 9 36/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 9 36/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 9 36/29)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 36/29))) 1)
(*.f64 (fma.f64 x 9 36/29) 1)
(*.f64 1 (fma.f64 x 9 36/29))
(*.f64 (cbrt.f64 (fma.f64 x 9 36/29)) (cbrt.f64 (pow.f64 (fma.f64 x 9 36/29) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 36/29) 2)) (cbrt.f64 (fma.f64 x 9 36/29)))
(*.f64 (sqrt.f64 (fma.f64 x 9 36/29)) (sqrt.f64 (fma.f64 x 9 36/29)))
(/.f64 (+.f64 (pow.f64 (.f64 x 9) 3) 46656/24389) (+.f64 (pow.f64 (.f64 x 9) 2) (-.f64 1296/841 (.f64 (.f64 x 9) 36/29))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 9) 2) 1296/841) (fma.f64 x 9 -36/29))
(pow.f64 (fma.f64 x 9 36/29) 1)
(pow.f64 (pow.f64 (fma.f64 x 9 36/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 9 36/29) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 9 36/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 9 36/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 9 36/29) 2))
(log.f64 (exp.f64 (fma.f64 x 9 36/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 36/29))))
(cbrt.f64 (pow.f64 (fma.f64 x 9 36/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 9 36/29)))
(log1p.f64 (expm1.f64 (fma.f64 x 9 36/29)))
(exp.f64 (log.f64 (fma.f64 x 9 36/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 36/29)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 9 36/29))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 9 36/29))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 9 36/29))) 2))

Outputs
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 x 9 36/29)) -29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 9 x 36/29)) -29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 x 9 36/29)) -29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 9 x 36/29)) -29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 x 9 36/29)) -29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 9 x 36/29)) -29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 x 9 36/29)) -29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 9 x 36/29)) -29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 x 9 36/29)) -29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 9 x 36/29)) -29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 x 9 36/29)) -29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 9 x 36/29)) -29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 x 9 36/29)) -29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 9 x 36/29)) -29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 x 9 36/29)) -29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 9 x 36/29)) -29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 x 9 36/29)) -29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 9 x 36/29)) -29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 x 9 36/29)) -29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 9 x 36/29)) -29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 x 9 36/29)) -29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 9 x 36/29)) -29/12))
(/.f64 y (-.f64 (.f64 -24389/1728 (.f64 (+.f64 36/29 (*.f64 9 x)) x)) 29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 x 9 36/29)) -29/12))
(/.f64 y (fma.f64 -24389/1728 (*.f64 x (fma.f64 9 x 36/29)) -29/12))
(*.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 y (.f64 x 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 -1 (.f64 (+.f64 (.f64 87/4 y) (*.f64 -87/4 y)) (pow.f64 x 2)))))
(fma.f64 3 (.f64 y x) (.f64 y -12/29))
(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -29/4 (+.f64 (.f64 87/4 y) (.f64 -87/4 y))) (.f64 2523/16 y)) (pow.f64 x 3))) (+.f64 (.f64 -12/29 y) (.f64 -1 (.f64 (+.f64 (.f64 87/4 y) (*.f64 -87/4 y)) (pow.f64 x 2))))))
(fma.f64 3 (.f64 y x) (fma.f64 -1 (.f64 (fma.f64 -29/4 (.f64 y 0) (.f64 y 2523/16)) (pow.f64 x 3)) (fma.f64 -12/29 y (neg.f64 (.f64 (.f64 y 0) (*.f64 x x))))))
(fma.f64 3 (.f64 y x) (-.f64 (fma.f64 y -12/29 (.f64 x (.f64 x 0))) (.f64 (fma.f64 y 2523/16 0) (pow.f64 x 3))))
(-.f64 (.f64 y (+.f64 -12/29 (.f64 3 x))) (.f64 (.f64 y 2523/16) (pow.f64 x 3)))
(*.f64 -192/24389 (/.f64 y (pow.f64 x 2)))
(.f64 -192/24389 (/.f64 y (.f64 x x)))
(*.f64 (/.f64 y x) (/.f64 -192/24389 x))
(+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (.f64 768/707281 (/.f64 y (pow.f64 x 3))))
(fma.f64 -192/24389 (/.f64 y (.f64 x x)) (/.f64 (.f64 768/707281 y) (pow.f64 x 3)))
(fma.f64 -192/24389 (/.f64 y (.f64 x x)) (/.f64 (.f64 y 768/707281) (pow.f64 x 3)))
(.f64 (/.f64 y (.f64 x x)) (+.f64 -192/24389 (/.f64 768/707281 x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3072/20511149 y) (.f64 -3072/20511149 y)) (pow.f64 x 4))) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (*.f64 768/707281 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -192/24389 (/.f64 y (.f64 x x)) (/.f64 (.f64 768/707281 y) (pow.f64 x 3)))
(fma.f64 -192/24389 (/.f64 y (.f64 x x)) (/.f64 (.f64 y 768/707281) (pow.f64 x 3)))
(.f64 (/.f64 y (.f64 x x)) (+.f64 -192/24389 (/.f64 768/707281 x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3072/20511149 y) (.f64 -3072/20511149 y)) (pow.f64 x 4))) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 768/707281 (/.f64 y (pow.f64 x 3))) (.f64 -1 (/.f64 (+.f64 (.f64 12288/594823321 y) (.f64 -4/29 (+.f64 (.f64 3072/20511149 y) (.f64 -3072/20511149 y)))) (pow.f64 x 5))))))
(fma.f64 -1 (/.f64 (.f64 y 0) (pow.f64 x 4)) (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (fma.f64 768/707281 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 (fma.f64 12288/594823321 y (.f64 (.f64 y 0) -4/29)) (pow.f64 x 5))))))
(+.f64 (/.f64 0 (pow.f64 x 4)) (-.f64 (fma.f64 -192/24389 (/.f64 y (.f64 x x)) (/.f64 (.f64 y 768/707281) (pow.f64 x 3))) (/.f64 (fma.f64 y 12288/594823321 0) (pow.f64 x 5))))
(-.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 -192/24389 (/.f64 768/707281 x))) (/.f64 (*.f64 y 12288/594823321) (pow.f64 x 5)))
(*.f64 -192/24389 (/.f64 y (pow.f64 x 2)))
(.f64 -192/24389 (/.f64 y (.f64 x x)))
(*.f64 (/.f64 y x) (/.f64 -192/24389 x))
(+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (.f64 768/707281 (/.f64 y (pow.f64 x 3))))
(fma.f64 -192/24389 (/.f64 y (.f64 x x)) (/.f64 (.f64 768/707281 y) (pow.f64 x 3)))
(fma.f64 -192/24389 (/.f64 y (.f64 x x)) (/.f64 (.f64 y 768/707281) (pow.f64 x 3)))
(.f64 (/.f64 y (.f64 x x)) (+.f64 -192/24389 (/.f64 768/707281 x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3072/20511149 y) (.f64 -3072/20511149 y)) (pow.f64 x 4))) (+.f64 (.f64 -192/24389 (/.f64 y (pow.f64 x 2))) (*.f64 768/707281 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -192/24389 (/.f64 y (.f64 x x)) (/.f64 (.f64 768/707281 y) (pow.f64 x 3)))
(fma.f64 -192/24389 (/.f64 y (.f64 x x)) (/.f64 (.f64 y 768/707281) (pow.f64 x 3)))
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(/.f64 (fma.f64 (pow.f64 x 3) 729 46656/24389) (+.f64 (.f64 (.f64 x x) 81) (-.f64 1296/841 (*.f64 x 324/29))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 46656/24389) (+.f64 1296/841 (.f64 (.f64 9 x) (fma.f64 9 x -36/29))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 9) 2) 1296/841) (fma.f64 x 9 -36/29))
(/.f64 (+.f64 (pow.f64 (*.f64 9 x) 2) -1296/841) (fma.f64 x 9 -36/29))
(/.f64 (+.f64 (.f64 (.f64 x x) 81) -1296/841) (fma.f64 9 x -36/29))
(/.f64 (fma.f64 (*.f64 x x) 81 -1296/841) (fma.f64 9 x -36/29))
(pow.f64 (fma.f64 x 9 36/29) 1)
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)
(pow.f64 (pow.f64 (fma.f64 x 9 36/29) 2) 1/2)
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)
(pow.f64 (pow.f64 (fma.f64 x 9 36/29) 3) 1/3)
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)
(pow.f64 (cbrt.f64 (fma.f64 x 9 36/29)) 3)
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)
(pow.f64 (sqrt.f64 (fma.f64 x 9 36/29)) 2)
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)
(sqrt.f64 (pow.f64 (fma.f64 x 9 36/29) 2))
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)
(log.f64 (exp.f64 (fma.f64 x 9 36/29)))
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 36/29))))
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)
(cbrt.f64 (pow.f64 (fma.f64 x 9 36/29) 3))
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)
(expm1.f64 (log1p.f64 (fma.f64 x 9 36/29)))
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)
(log1p.f64 (expm1.f64 (fma.f64 x 9 36/29)))
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)
(exp.f64 (log.f64 (fma.f64 x 9 36/29)))
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 36/29)) 1))
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 9 36/29))) 1/3))
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 9 36/29))) 3))
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 9 36/29))) 2))
(fma.f64 x 9 36/29)
(fma.f64 9 x 36/29)

eval80.0ms (2.3%)

Compiler: Compiled 3713 to 2857 computations (23.1% saved)

prune34.0ms (0.9%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	206	1	207
Fresh	0	0	0
Picked	1	0	1
Done	2	9	11
Total	209	10	219

Error

Counts

219 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f64 (.f64 y x) 3 (.f64 y -12/29))
	26.4b	(/.f64 y (+.f64 -29/12 (*.f64 x -841/48)))
✓	0.2b	(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
✓	0.1b	(.f64 (+.f64 (.f64 x 3) -12/29) y)
✓	36.6b	(.f64 (.f64 3 x) y)
✓	36.5b	(.f64 x (.f64 y 3))
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	36.6b	(.f64 3 (.f64 y x))
✓	26.1b	(.f64 3 (.f64 y -4/29))
✓	26.0b	(*.f64 -12/29 y)

Compiler

Compiled 81 to 61 computations (24.7% saved)

regimes69.0ms (1.9%)

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 y 3))
(.f64 (.f64 3 x) y)
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (+.f64 x -4/29) (.f64 3 y))
(.f64 (+.f64 (.f64 x 3) -12/29) y)
(/.f64 y (+.f64 -29/12 (*.f64 x -841/48)))
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(/.f64 (.f64 y -1728/24389) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (.f64 x -36/29))))
(*.f64 (fma.f64 x 3 -12/29) y)
(fma.f64 (.f64 y x) 3 (.f64 y -12/29))
(/.f64 y (+.f64 -29/12 (.f64 (.f64 x (fma.f64 9 x 36/29)) -24389/1728)))
(.f64 (/.f64 1 (/.f64 (fma.f64 x 3 12/29) (+.f64 (.f64 (*.f64 x x) 9) -144/841))) y)
(/.f64 (.f64 (+.f64 -1728/24389 (.f64 (pow.f64 x 3) 27)) y) (+.f64 (.f64 (.f64 x x) 9) (-.f64 144/841 (*.f64 x -36/29))))
(pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 3)

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

Calls

5 calls:

33.0ms	x
10.0ms	y
10.0ms	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
7.0ms	(-.f64 x (/.f64 16 116))
5.0ms	(*.f64 (-.f64 x (/.f64 16 116)) 3)

Results

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

Compiler

Compiled 192 to 138 computations (28.1% saved)

regimes13.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
5.0ms	y

Results

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

Compiler

Compiled 45 to 31 computations (31.1% saved)

regimes115.0ms (3.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

109.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes48.0ms (1.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	y
13.0ms	x

Results

Error	Segments	Branch
1.3b	3	`x`
19.8b	9	`y`

Compiler

Compiled 31 to 21 computations (32.3% saved)

bsearch79.0ms (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	2.2423647116210165e-9	49.012676589246716
18.0ms	-26.10193161139694	-6.634742215073088e-12

Results

75.0ms

320×

body

256

valid

Compiler

Compiled 296 to 233 computations (21.3% saved)

regimes38.0ms (1.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	y
9.0ms	x

Results

Error	Segments	Branch
1.3b	3	`x`
19.8b	9	`y`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch67.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	2.2423647116210165e-9	49.012676589246716
49.0ms	-26.10193161139694	-6.634742215073088e-12

Results

31.0ms

320×

body

256

valid

Compiler

Compiled 296 to 233 computations (21.3% saved)

regimes7.0ms (0.2%)

Accuracy

Total -0.1b remaining (-0.4%)

Threshold costs -0.1b (-0.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 -12/29 y)

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Error	Segments	Branch
26.0b	1	`x`
26.0b	1	`y`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	94
1	44	94

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 x 3) -12/29) y)
(.f64 (+.f64 x -4/29) (.f64 3 y))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 3 (.f64 y x)) (if (<=.f64 x 1224979098644775/9007199254740992) (.f64 -12/29 y) (.f64 x (*.f64 y 3))))
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 3 (.f64 y x)) (if (<=.f64 x 1224979098644775/9007199254740992) (.f64 -12/29 y) (.f64 3 (*.f64 y x))))
(*.f64 -12/29 y)

Outputs
(.f64 (+.f64 (.f64 x 3) -12/29) y)
(.f64 (+.f64 x -4/29) (.f64 3 y))
(.f64 (.f64 3 y) (+.f64 x -4/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 3 (.f64 y x)) (if (<=.f64 x 1224979098644775/9007199254740992) (.f64 -12/29 y) (.f64 x (*.f64 y 3))))
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 3 (.f64 x y)) (if (<=.f64 x 1224979098644775/9007199254740992) (.f64 -12/29 y) (.f64 x (*.f64 3 y))))
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 3 (.f64 y x)) (if (<=.f64 x 1224979098644775/9007199254740992) (.f64 -12/29 y) (.f64 3 (*.f64 y x))))
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 3 (.f64 x y)) (if (<=.f64 x 1224979098644775/9007199254740992) (.f64 -12/29 y) (.f64 3 (*.f64 x y))))
(*.f64 -12/29 y)

Compiler

Compiled 78 to 56 computations (28.2% saved)

soundness11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 80 to 66 computations (17.5% saved)

end44.0ms (1.2%)

Compiler: Compiled 68 to 45 computations (33.8% saved)

Details

analyze60.0ms (1.7%)

sample887.0ms (24.9%)

preprocess25.0ms (0.7%)

simplify7.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite50.0ms (1.4%)

simplify39.0ms (1.1%)

localize8.0ms (0.2%)

series6.0ms (0.2%)

rewrite47.0ms (1.3%)

simplify64.0ms (1.8%)

localize7.0ms (0.2%)

series6.0ms (0.2%)

rewrite42.0ms (1.2%)

simplify52.0ms (1.5%)

eval42.0ms (1.2%)

prune27.0ms (0.8%)

localize9.0ms (0.2%)

series8.0ms (0.2%)

rewrite55.0ms (1.5%)

simplify47.0ms (1.3%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite49.0ms (1.4%)

simplify42.0ms (1.2%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite53.0ms (1.5%)

simplify75.0ms (2.1%)

localize33.0ms (0.9%)

series15.0ms (0.4%)

rewrite75.0ms (2.1%)

simplify67.0ms (1.9%)

eval158.0ms (4.4%)

prune67.0ms (1.9%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite46.0ms (1.3%)

simplify70.0ms (2%)

localize5.0ms (0.1%)

series2.0ms (0.1%)

rewrite58.0ms (1.6%)

simplify41.0ms (1.2%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

series26.0ms (0.7%)

rewrite36.0ms (1%)

simplify40.0ms (1.1%)

localize35.0ms (1%)

series6.0ms (0.2%)

rewrite63.0ms (1.8%)

simplify57.0ms (1.6%)

eval89.0ms (2.5%)

prune39.0ms (1.1%)

localize20.0ms (0.6%)

series8.0ms (0.2%)

rewrite67.0ms (1.9%)

simplify68.0ms (1.9%)

eval80.0ms (2.3%)

prune34.0ms (0.9%)

regimes69.0ms (1.9%)

regimes13.0ms (0.4%)

regimes115.0ms (3.2%)

regimes48.0ms (1.3%)

bsearch79.0ms (2.2%)

regimes38.0ms (1.1%)

bsearch67.0ms (1.9%)

regimes7.0ms (0.2%)

simplify6.0ms (0.2%)

soundness11.0ms (0.3%)

end44.0ms (1.2%)

Profiling