Details

analyze117.0ms (2.4%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.1s (22.5%)

Results

1.0s	8256×	body	256	valid
20.0ms	162×	body	256	invalid

preprocess32.0ms (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)

simplify15.0ms (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

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize24.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 25 computations (19.4% saved)

series10.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms	x	@	inf	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms	x	@	0	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms	y	@	inf	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms	x	@	-inf	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

rewrite97.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	218	21
2	2463	17

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

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

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

Outputs

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

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

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

simplify31.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

168 → 132

Calls

Call 1

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

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

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series9.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

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

rewrite72.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

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

Outputs

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

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

simplify23.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

70 → 44

Calls

Call 1

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

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

eval86.0ms (1.8%)

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

prune36.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	164	12	176
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	165	13	178

Error

0.0b

Counts

178 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	35.0b	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
▶	26.3b	(*.f64 -12/29 y)
▶	13.9b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
	36.8b	(.f64 3 (.f64 y x))
	1.4b	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
	26.7b	(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
▶	0.2b	(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
	17.2b	(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) 3)) 3) y)
	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
▶	36.8b	(.f64 (.f64 x 3) y)
▶	0.2b	(.f64 (.f64 (-.f64 x 4/29) 3) y)
	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)

Compiler

Compiled 238 to 184 computations (22.7% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

series10.0ms (0.2%)

Counts

3 → 48

Calls

15 calls:

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

rewrite78.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

483×	`log-prod_binary64`
412×	`fma-def_binary64`
348×	`prod-exp_binary64`
346×	`exp-prod_binary64`
311×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	195	19
2	2527	19

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

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

Outputs

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

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

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

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

217×	`fma-def_binary64`
171×	`fma-neg_binary64`
47×	`cancel-sign-sub-inv_binary64`
39×	`distribute-rgt-neg-in_binary64`
32×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

189 → 149

Calls

Call 1

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

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

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x 4/29)
✓	0.0b	(*.f64 (-.f64 x 4/29) 3)
✓	0.2b	(.f64 (.f64 (-.f64 x 4/29) 3) y)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series3.0ms (0.1%)

Counts

3 → 39

Calls

12 calls:

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

rewrite65.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`pow1_binary64`
800×	`add-log-exp_binary64`
800×	`log1p-expm1-u_binary64`
800×	`expm1-log1p-u_binary64`
787×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	174	21
2	2107	21

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

Outputs

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

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

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

simplify17.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	306
1	33	306
2	60	243
3	96	243
4	102	243

Stop Event

1×

saturated

Counts

101 → 74

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x x -16/841)
✓	0.0b	(+.f64 x 4/29)
✓	3.0b	(.f64 (fma.f64 x x -16/841) (.f64 3 y))
✓	10.4b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))

Compiler

Compiled 37 to 24 computations (35.1% saved)

series15.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(.f64 (fma.f64 x x -16/841) (.f64 3 y))
3.0ms	x	@	0	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
1.0ms	y	@	0	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
1.0ms	y	@	inf	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
1.0ms	x	@	-inf	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))

rewrite93.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	241	30
2	3165	30

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 x -4/29) (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -16/841) (/.f64 1 (.f64 1/3 (/.f64 (+.f64 x 4/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -16/841) (.f64 (.f64 3 y) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 y) (.f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (/.f64 1 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 x -4/29) (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) (pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 2) (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) 2) (.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) (.f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x x -16/841) (neg.f64 (.f64 3 y))) (/.f64 1 (neg.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x 4/29)) (.f64 (fma.f64 x x -16/841) (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x -4/29) (.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x x -16/841) 3) (.f64 y (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x x -16/841) 1) (/.f64 (.f64 3 y) (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 3 y) 1) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) 2) 1) (/.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) 1) (/.f64 (sqrt.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 (fma.f64 x x -16/841) 3) 1) (/.f64 y (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x x -16/841) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 (.f64 3 y) (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 3 y) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 (fma.f64 x x -16/841) (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) -2) (/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) 2) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 y (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x x -16/841) (sqrt.f64 (+.f64 x 4/29))) (/.f64 (.f64 3 y) (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 3 y) (sqrt.f64 (+.f64 x 4/29))) (/.f64 (fma.f64 x x -16/841) (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x 4/29) -1/2) (/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) 2) (sqrt.f64 (+.f64 x 4/29))) (/.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) (sqrt.f64 (+.f64 x 4/29))) (/.f64 y (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 64/24389 (pow.f64 x 3))) (-.f64 (fma.f64 x x 16/841) (.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (fma.f64 x x -16/841)) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 (+.f64 x -4/29) (.f64 3 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) 3) (pow.f64 (+.f64 x 4/29) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (.f64 (+.f64 x -4/29) (.f64 3 y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (neg.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) 3) (pow.f64 (+.f64 x 4/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (+.f64 x -4/29) (*.f64 3 y)))) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 x x -16/841) (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) (.f64 3 y)) (.f64 -16/841 (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 3 y) (.f64 x x)) (.f64 (.f64 3 y) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 y (fma.f64 x x -16/841)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 y (fma.f64 x x -16/841))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (.f64 y (fma.f64 x x -16/841))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (.f64 y (fma.f64 x x -16/841))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (.f64 y (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 y) (.f64 x x) (.f64 (.f64 3 y) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) (.f64 3 y) (.f64 -16/841 (.f64 3 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (+.f64 x -4/29)) (/.f64 16/841 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x 4/29)) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (cbrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x 4/29)) (sqrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 64/24389 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 16/841) (.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 x x 16/841) (.f64 x 4/29)) (+.f64 64/24389 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -4/29) (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (pow.f64 x 3)) (-.f64 (fma.f64 x x 16/841) (.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (pow.f64 x 3)) (+.f64 16/841 (-.f64 (.f64 x x) (.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/841)) (neg.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x 16/841) (.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (.f64 x x)) (-.f64 4/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 4/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 x x 16/841) (.f64 x 4/29)) (+.f64 64/24389 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -4/29) (fma.f64 x x -16/841)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x 4/29))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 x 4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 4/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/29)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -16/841 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x x -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 1) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -16/841))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -16/841)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x x) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x -16/841))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -16/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x x -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x x -16/841)) (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2) (cbrt.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -16/841)) (sqrt.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (+.f64 (pow.f64 x 4) (-.f64 256/707281 (.f64 (.f64 x x) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) 256/707281) (fma.f64 x x 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) 4096/594823321) (+.f64 (pow.f64 x 4) (+.f64 256/707281 (.f64 (.f64 x x) 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -16/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -16/841) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -16/841) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -16/841)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -16/841) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -16/841) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x x -16/841)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x x -16/841))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x x -16/841))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -16/841))) 2))))))

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	774
1	53	732
2	112	660
3	256	642
4	556	642
5	1536	642
6	2915	642
7	5231	642

Stop Event

1×	node limit

Counts

227 → 178

Calls

Call 1

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

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

eval147.0ms (3.1%)

Compiler: Compiled 6147 to 4501 computations (26.8% saved)

prune90.0ms (1.9%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	455	6	461
Fresh	4	3	7
Picked	1	0	1
Done	1	4	5
Total	461	13	474

Error

Counts

474 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	26.4b	(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
▶	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
▶	50.3b	(/.f64 (.f64 (.f64 x x) (*.f64 3 y)) (+.f64 x 4/29))
▶	36.8b	(.f64 3 (.f64 y x))
	29.0b	(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (pow.f64 (.f64 (.f64 x 3) y) 2)) (-.f64 (.f64 y -12/29) (.f64 (*.f64 x 3) y)))
▶	14.0b	(.f64 (fma.f64 x x -16/841) (/.f64 1 (.f64 1/3 (/.f64 (+.f64 x 4/29) y))))
	50.3b	(/.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (+.f64 x 4/29))
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
✓	26.3b	(*.f64 -12/29 y)
	36.8b	(.f64 (.f64 3 y) x)
✓	36.8b	(.f64 (.f64 x 3) y)
✓	0.2b	(.f64 (.f64 (-.f64 x 4/29) 3) y)
▶	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)

Compiler

Compiled 245 to 182 computations (25.7% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

series4.0ms (0.1%)

Counts

2 → 15

Calls

9 calls:

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

rewrite68.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	173	13
2	2068	13

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

66 → 58

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite65.0ms (1.4%)

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))))))))

simplify17.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	201
1	22	192
2	40	183
3	56	165
4	60	165

Stop Event

1×

saturated

Counts

58 → 44

Calls

Call 1

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

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

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x 4/29)
✓	6.9b	(.f64 (.f64 x x) (*.f64 3 y))
✓	10.3b	(/.f64 (.f64 (.f64 x x) (*.f64 3 y)) (+.f64 x 4/29))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series12.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(.f64 (.f64 x x) (*.f64 3 y))
1.0ms	y	@	0	(/.f64 (.f64 (.f64 x x) (*.f64 3 y)) (+.f64 x 4/29))
1.0ms	x	@	0	(/.f64 (.f64 (.f64 x x) (*.f64 3 y)) (+.f64 x 4/29))
1.0ms	x	@	0	(.f64 (.f64 x x) (*.f64 3 y))
1.0ms	y	@	inf	(.f64 (.f64 x x) (*.f64 3 y))

rewrite72.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`log-prod_binary64`
365×	`pow-prod-down_binary64`
285×	`pow2_binary64`
213×	`pow-unpow_binary64`
198×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	222	26
2	3052	26

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	660
1	126	660
2	324	645
3	945	617
4	3557	611
5	6874	611

Stop Event

1×	node limit

Counts

133 → 105

Calls

Call 1

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

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

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 x 4/29) y)
✓	0.3b	(*.f64 1/3 (/.f64 (+.f64 x 4/29) y))
✓	0.6b	(/.f64 1 (*.f64 1/3 (/.f64 (+.f64 x 4/29) y)))
✓	13.1b	(.f64 (fma.f64 x x -16/841) (/.f64 1 (.f64 1/3 (/.f64 (+.f64 x 4/29) y))))

Compiler

Compiled 50 to 35 computations (30% saved)

series10.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 1 (*.f64 1/3 (/.f64 (+.f64 x 4/29) y)))
1.0ms	y	@	0	(*.f64 1/3 (/.f64 (+.f64 x 4/29) y))
1.0ms	x	@	0	(*.f64 1/3 (/.f64 (+.f64 x 4/29) y))
1.0ms	y	@	-inf	(/.f64 1 (*.f64 1/3 (/.f64 (+.f64 x 4/29) y)))
1.0ms	x	@	inf	(/.f64 1 (*.f64 1/3 (/.f64 (+.f64 x 4/29) y)))

rewrite91.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log-prod_binary64`
354×	`pow-prod-down_binary64`
338×	`pow2_binary64`
238×	`pow1/3_binary64`
237×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	284	44
2	3620	40

Stop Event

1×	node limit

Counts

4 → 150

Calls

Call 1

Inputs
(.f64 (fma.f64 x x -16/841) (/.f64 1 (.f64 1/3 (/.f64 (+.f64 x 4/29) y))))
(/.f64 1 (*.f64 1/3 (/.f64 (+.f64 x 4/29) y)))
(*.f64 1/3 (/.f64 (+.f64 x 4/29) y))
(/.f64 (+.f64 x 4/29) y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) (.f64 3 (/.f64 y (+.f64 x 4/29)))) (.f64 -16/841 (.f64 3 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 3 (/.f64 y (+.f64 x 4/29))) (.f64 x x)) (.f64 (.f64 3 (/.f64 y (+.f64 x 4/29))) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (/.f64 (fma.f64 x 1/3 4/87) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 x 1/3 4/87) y) (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -16/841)) 2) (/.f64 (/.f64 (fma.f64 x 1/3 4/87) y) (cbrt.f64 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -16/841)) (/.f64 (/.f64 (fma.f64 x 1/3 4/87) y) (sqrt.f64 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/841)) (.f64 (/.f64 (+.f64 x 4/29) y) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -16/841) 1/3) (/.f64 (+.f64 x 4/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -16/841) (sqrt.f64 (/.f64 (fma.f64 x 1/3 4/87) y))) (sqrt.f64 (/.f64 (fma.f64 x 1/3 4/87) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -16/841) 1) (/.f64 (fma.f64 x 1/3 4/87) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -16/841) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) 2))) (cbrt.f64 (/.f64 (fma.f64 x 1/3 4/87) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (fma.f64 x x -16/841)) (.f64 (/.f64 (+.f64 x 4/29) y) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (fma.f64 x x -16/841)) (/.f64 (+.f64 x 4/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x x -16/841) -1) (.f64 (/.f64 (+.f64 x 4/29) y) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x x -16/841) 3) (/.f64 (+.f64 x 4/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x x -16/841) 3) (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x 1/3 4/87) y) (fma.f64 x x -16/841)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -16/841) 3) (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x 1/3 4/87)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (/.f64 y (+.f64 x 4/29))) (.f64 x x) (.f64 (.f64 3 (/.f64 y (+.f64 x 4/29))) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) (.f64 3 (/.f64 y (+.f64 x 4/29))) (.f64 -16/841 (*.f64 3 (/.f64 y (+.f64 x 4/29)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 3 (/.f64 y (+.f64 x 4/29))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 3 (/.f64 y (+.f64 x 4/29)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 3 (/.f64 y (+.f64 x 4/29)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 3 (/.f64 y (+.f64 x 4/29)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (/.f64 y (+.f64 x 4/29))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 3 (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 (/.f64 y (+.f64 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 3 (/.f64 y (+.f64 x 4/29)))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) -2)) (cbrt.f64 (.f64 3 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) -1/2) (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (.f64 (/.f64 (+.f64 x 4/29) y) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (/.f64 y (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (+.f64 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/3 4/87) y)) -2) (cbrt.f64 (.f64 3 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x 1/3 4/87)) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 3 (+.f64 x 4/29)) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 3 (+.f64 -4/29 (neg.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) -1)))) (#(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 (fma.f64 x 1/3 4/87) y) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/3 4/87) y)) -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 (fma.f64 x 1/3 4/87) y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (.f64 (/.f64 (+.f64 x 4/29) y) -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 3 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) -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 (neg.f64 (log.f64 (/.f64 (fma.f64 x 1/3 4/87) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x 1/3 4/87) y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (fma.f64 x 1/3 4/87) y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 1/3 4/87) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1/3 4/87) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1/3 4/87) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1/3 4/87) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1/3 4/87) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 1/3 4/87) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 3 (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (fma.f64 x 1/3 4/87)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 y (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 4/29) y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 1/3 4/87) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) 2)) (cbrt.f64 (.f64 3 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (fma.f64 x 1/3 4/87) y)) (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (+.f64 x 4/29) y) -1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 1/3 4/87) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x 1/3 4/87)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 1/3 4/87) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 1/3 4/87) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 1/3 4/87) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -4/29 (neg.f64 x)) 1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (+.f64 -4/29 (neg.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) 1)))) (#(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 (fma.f64 x 1/3 4/87) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/3 4/87) y)) 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 (fma.f64 x 1/3 4/87) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (fma.f64 x 1/3 4/87)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 1/3 4/87) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 1/3 4/87) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1/3 4/87) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 1/3 4/87) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 1/3 4/87) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 1/3 4/87) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x 1/3 4/87) y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x 4/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 x 1/3 4/87) y)) 2)) (/.f64 (fma.f64 x 1/3 4/87) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 4/29) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 4/29) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 4/29) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 x 4/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 4/29) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x 4/29) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (.f64 (cbrt.f64 (+.f64 x 4/29)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 x 4/29) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4/29) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4/29) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x 4/29)) (.f64 (sqrt.f64 (+.f64 x 4/29)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 x 4/29) y)) (sqrt.f64 (/.f64 (+.f64 x 4/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -4/29 (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 4/29)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) 1) (/.f64 (sqrt.f64 (+.f64 x 4/29)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 x 4/29) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x 4/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x 4/29)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y -1/2) (/.f64 (+.f64 x 4/29) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4/29)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4/29) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 4/29) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 4/29) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4/29) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 4/29) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 x 4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x 4/29) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (+.f64 x 4/29)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 4/29) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4/29) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 4/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4/29) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 4/29) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 4/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x 4/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x 4/29) y)) 1))))))

simplify87.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

775×	`fma-def_binary64`
732×	`associate-/l*_binary64`
541×	`associate-/l/_binary64`
529×	`associate-*l/_binary64`
514×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	1185
1	170	1119
2	391	1083
3	1110	1042
4	3819	978
5	7980	978

Stop Event

1×	node limit

Counts

246 → 186

Calls

Call 1

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

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

eval176.0ms (3.7%)

Compiler: Compiled 6948 to 4888 computations (29.6% saved)

prune148.0ms (3.1%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	475	5	480
Fresh	2	2	4
Picked	1	0	1
Done	1	7	8
Total	479	14	493

Error

Counts

493 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.4b	(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	36.8b	(.f64 3 (.f64 y x))
	26.8b	(.f64 (fma.f64 x x -16/841) (/.f64 1 (.f64 1/3 (/.f64 4/29 y))))
▶	26.4b	(.f64 3 (.f64 y -4/29))
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
✓	26.3b	(*.f64 -12/29 y)
▶	36.8b	(.f64 (.f64 3 y) x)
▶	50.4b	(/.f64 (.f64 (.f64 x x) (*.f64 3 y)) x)
✓	36.8b	(.f64 (.f64 x 3) y)
	49.9b	(.f64 (/.f64 (.f64 x (*.f64 x 3)) 1) (/.f64 y (+.f64 x 4/29)))
✓	0.2b	(.f64 (.f64 (-.f64 x 4/29) 3) y)
▶	18.0b	(/.f64 (.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) y) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))

Compiler

Compiled 226 to 171 computations (24.3% saved)

localize65.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x 36/29)
✓	0.2b	(.f64 9 (.f64 x x))
✓	2.8b	(.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) y)
✓	15.6b	(/.f64 (.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) y) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))

Compiler

Compiled 82 to 58 computations (29.3% saved)

series23.0ms (0.5%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(/.f64 (.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) y) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))
2.0ms	y	@	-inf	(/.f64 (.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) y) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))
2.0ms	x	@	0	(/.f64 (.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) y) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))
2.0ms	y	@	inf	(/.f64 (.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) y) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))
1.0ms	x	@	inf	(.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) y)

rewrite113.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`fma-def_binary64`
393×	`fma-neg_binary64`
342×	`expm1-udef_binary64`
342×	`log1p-udef_binary64`
267×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	49
1	428	47
2	5557	47

Stop Event

1×	node limit

Counts

4 → 98

Calls

Call 1

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

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

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1197×	`fma-def_binary64`
570×	`associate-+l+_binary64`
433×	`associate-+r+_binary64`
351×	`unsub-neg_binary64`
254×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	891
1	158	828
2	544	795
3	2437	741
4	7043	741

Stop Event

1×	node limit

Counts

170 → 120

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 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.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 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 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)

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 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.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 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.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 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 y 3))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.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 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.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 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(.f64 3 (.f64 y x))
(.f64 x (.f64 y 3))
(.f64 y (.f64 3 x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.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 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(+.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 x (.f64 y 3)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -12/29))
(/.f64 (.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.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 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.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 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.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 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.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 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.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 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.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 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.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 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.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 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.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 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.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 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.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 27 (pow.f64 x 3)) 1728/24389)) (+.f64 144/841 (+.f64 (.f64 9 (pow.f64 x 2)) (.f64 36/29 x))))
(/.f64 (.f64 y (fma.f64 27 (pow.f64 x 3) -1728/24389)) (+.f64 144/841 (fma.f64 9 (.f64 x x) (*.f64 x 36/29))))
(/.f64 y (/.f64 (+.f64 144/841 (fma.f64 x 36/29 (.f64 x (.f64 x 9)))) (fma.f64 (pow.f64 x 3) 27 -1728/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (/.f64 y (fma.f64 x 36/29 (fma.f64 (.f64 x x) 9 144/841))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (fma.f64 x 9 36/29) 144/841)))
(*.f64 -1728/24389 y)
(*.f64 y -1728/24389)
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 27 (.f64 y (pow.f64 x 3)))
(.f64 y (.f64 (pow.f64 x 3) 27))
(.f64 (pow.f64 x 3) (.f64 y 27))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 27 (.f64 y (pow.f64 x 3)))
(.f64 y (.f64 (pow.f64 x 3) 27))
(.f64 (pow.f64 x 3) (.f64 y 27))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(+.f64 (.f64 -1728/24389 y) (.f64 27 (*.f64 y (pow.f64 x 3))))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(.f64 y (-.f64 (.f64 27 (pow.f64 x 3)) 1728/24389))
(fma.f64 -1728/24389 y (.f64 27 (.f64 y (pow.f64 x 3))))
(*.f64 y (fma.f64 (pow.f64 x 3) 27 -1728/24389))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)
(*.f64 36/29 x)
(*.f64 x 36/29)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y -4/29)
✓	0.4b	(.f64 3 (.f64 y -4/29))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series8.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(*.f64 y -4/29)
1.0ms	y	@	inf	(*.f64 y -4/29)
0.0ms	y	@	-inf	(*.f64 y -4/29)
0.0ms	y	@	0	(.f64 3 (.f64 y -4/29))
0.0ms	y	@	inf	(.f64 3 (.f64 y -4/29))

rewrite57.0ms (1.2%)

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)))))))

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	96
1	8	96

Stop Event

1×

saturated

Counts

46 → 25

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (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 y) x)

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

35 → 12

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x 4/29)
✓	0.2b	(*.f64 y -48/841)
✓	0.2b	(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series8.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

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

rewrite102.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`unpow-prod-down_binary64`
424×	`log-prod_binary64`
328×	`exp-prod_binary64`
232×	`pow2_binary64`
230×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	179	14
2	2380	14

Stop Event

1×	node limit

Counts

2 → 129

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 (+.f64 x 4/29) -841/48)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 -48/841 (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 (/.f64 1 (*.f64 (+.f64 x 4/29) -841/48)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 (*.f64 -48/841 (/.f64 1 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (*.f64 y (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (pow.f64 (/.f64 y (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (pow.f64 (/.f64 (+.f64 x 4/29) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -48/841) (/.f64 1 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841)) -2)) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2) (*.f64 (cbrt.f64 (*.f64 y -48/841)) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y -48/841)) (*.f64 (sqrt.f64 (*.f64 y -48/841)) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 48/841) (/.f64 1 (+.f64 -4/29 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 48/841) (pow.f64 (/.f64 1 (+.f64 -4/29 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 4/29)) (*.f64 y -48/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 4/29)) (pow.f64 (/.f64 1 (*.f64 y -48/841)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 -48/841 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 x 4/29)) -48/841)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y -48/841)) (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y -48/841)) 1) (/.f64 (sqrt.f64 (*.f64 y -48/841)) (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 -48/841 (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -48/841 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 y (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) -2) (/.f64 (*.f64 y -48/841) (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y -48/841)) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (/.f64 (sqrt.f64 (*.f64 y -48/841)) (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (+.f64 x 4/29))) (/.f64 -48/841 (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -48/841 (sqrt.f64 (+.f64 x 4/29))) (/.f64 y (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 4/29) -1/2) (/.f64 (*.f64 y -48/841) (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2) (sqrt.f64 (+.f64 x 4/29))) (/.f64 (cbrt.f64 (*.f64 y -48/841)) (sqrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y -48/841) (+.f64 64/24389 (pow.f64 x 3))) (-.f64 (fma.f64 x x 16/841) (*.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y -48/841) (fma.f64 x x -16/841)) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (+.f64 x 4/29)) 1) -48/841)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y 1) 1) (pow.f64 (/.f64 -48/841 (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y -48/841)) (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 y -48/841)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y -48/841)) (+.f64 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) 1) (pow.f64 (/.f64 -48/841 (cbrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -48/841 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) 1) (pow.f64 (/.f64 y (cbrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) -2) 1) (pow.f64 (/.f64 (*.f64 y -48/841) (cbrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) 1) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 y -48/841)) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y -48/841)) (cbrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (sqrt.f64 (+.f64 x 4/29))) 1) (pow.f64 (/.f64 -48/841 (sqrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -48/841 (sqrt.f64 (+.f64 x 4/29))) 1) (pow.f64 (/.f64 y (sqrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x 4/29) -1/2) 1) (pow.f64 (/.f64 (*.f64 y -48/841) (sqrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2) (sqrt.f64 (+.f64 x 4/29))) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y -48/841)) (sqrt.f64 (+.f64 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 y -48/841) (+.f64 64/24389 (pow.f64 x 3))) 1) (-.f64 (fma.f64 x x 16/841) (*.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 y -48/841) (fma.f64 x x -16/841)) 1) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 x 4/29)) 3))) 1/3) (pow.f64 (sqrt.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 x 4/29)) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841)) -2) (*.f64 y -48/841)) 1/3) (cbrt.f64 (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 2) 3) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841))) 2) -1) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 y) -1) (/.f64 1 (*.f64 (+.f64 x 4/29) -841/48)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) y) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 4/29)) -48/841) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) y) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) -48/841) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) -48/841) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) -48/841) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 4/29)) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 4/29)) (*.f64 y -48/841)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (*.f64 y -48/841)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y -48/841)) -2) -1) (pow.f64 (/.f64 (+.f64 x 4/29) (cbrt.f64 (*.f64 y -48/841))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 4/29)) (cbrt.f64 (*.f64 y -48/841))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (pow.f64 (cbrt.f64 (*.f64 y -48/841)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (cbrt.f64 (*.f64 y -48/841))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 y -48/841) -1/2) -1) (pow.f64 (/.f64 (+.f64 x 4/29) (sqrt.f64 (*.f64 y -48/841))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2) (sqrt.f64 (*.f64 y -48/841))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 4/29)) (sqrt.f64 (*.f64 y -48/841))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (sqrt.f64 (*.f64 y -48/841))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 4/29)) (sqrt.f64 (*.f64 y -48/841))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 x 4/29)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 y -48/841) 3) (pow.f64 (+.f64 x 4/29) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 2)) (cbrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))) (sqrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y -48/841) (+.f64 -4/29 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 x 4/29)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y -48/841) 3) (pow.f64 (+.f64 x 4/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4/29) (*.f64 y -48/841))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (*.f64 (+.f64 x 4/29) -841/48))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 y -48/841)) 1) (log.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y -48/841)) (*.f64 (log.f64 (+.f64 x 4/29)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 y -48/841)) 1) (*.f64 (log.f64 (+.f64 x 4/29)) 1)))))))

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

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

769×	`distribute-lft-out_binary64`
712×	`fma-def_binary64`
669×	`associate-/l*_binary64`
540×	`associate-/l/_binary64`
493×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	411
1	112	411
2	291	384
3	883	361
4	3377	360
5	7694	360

Stop Event

1×	node limit

Counts

165 → 147

Calls

Call 1

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

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

localize19.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
	6.9b	(.f64 (.f64 x x) (*.f64 3 y))
✓	19.6b	(/.f64 (.f64 (.f64 x x) (*.f64 3 y)) x)

Compiler

Compiled 27 to 13 computations (51.9% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite85.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

939×	`pow1_binary64`
875×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
856×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	171	13
2	2340	13

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

73 → 50

Calls

Call 1

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

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

eval150.0ms (3.1%)

Compiler: Compiled 6705 to 4963 computations (26% saved)

prune72.0ms (1.5%)

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	418	3	421
Fresh	2	0	2
Picked	0	1	1
Done	1	10	11
Total	421	14	435

Error

Counts

435 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
	26.3b	(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
✓	26.4b	(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
	26.4b	(/.f64 (*.f64 y -48/841) 4/29)
✓	26.3b	(*.f64 -12/29 y)
✓	26.4b	(.f64 3 (.f64 y -4/29))
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	36.8b	(.f64 3 (.f64 y x))
✓	36.8b	(.f64 (.f64 3 y) x)
✓	50.4b	(/.f64 (.f64 (.f64 x x) (*.f64 3 y)) x)
✓	36.8b	(.f64 (.f64 x 3) y)
	50.2b	(.f64 (/.f64 (.f64 x (*.f64 x 3)) 1) (/.f64 y x))
✓	0.2b	(.f64 (.f64 (-.f64 x 4/29) 3) y)

Compiler

Compiled 117 to 88 computations (24.8% saved)

regimes85.0ms (1.8%)

Counts

28 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(/.f64 (*.f64 y -48/841) 4/29)
(.f64 3 (.f64 y -4/29))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 x 3) y)
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (.f64 (-.f64 x 4/29) 3) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(/.f64 (.f64 (.f64 x x) (*.f64 3 y)) x)
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(.f64 (/.f64 (.f64 x (*.f64 x 3)) 1) (/.f64 y x))
(/.f64 (.f64 (.f64 x x) (*.f64 3 y)) (+.f64 x 4/29))
(.f64 (/.f64 (.f64 x (*.f64 x 3)) 1) (/.f64 y (+.f64 x 4/29)))
(*.f64 (fma.f64 x 3 -12/29) y)
(/.f64 (.f64 3 (.f64 y (pow.f64 x 2))) (+.f64 x 4/29))
(.f64 (fma.f64 x x -16/841) (/.f64 1 (.f64 1/3 (/.f64 4/29 y))))
(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
(.f64 (fma.f64 x x -16/841) (/.f64 1 (.f64 1/3 (/.f64 (+.f64 x 4/29) y))))
(/.f64 (.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -1728/24389) y) (+.f64 (.f64 9 (.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))
(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (pow.f64 (.f64 (.f64 x 3) y) 2)) (-.f64 (.f64 y -12/29) (.f64 (*.f64 x 3) y)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) 3)) 3) y)
(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)

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

Calls

7 calls:

15.0ms	y
14.0ms	x
14.0ms	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
9.0ms	(-.f64 x (/.f64 16 116))
8.0ms	(*.f64 (-.f64 x (/.f64 16 116)) 3)

Results

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

Compiler

Compiled 311 to 225 computations (27.7% saved)

regimes18.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	y
7.0ms	x

Results

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

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes15.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	y
6.0ms	x

Results

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

Compiler

Compiled 57 to 40 computations (29.8% saved)

regimes77.0ms (1.6%)

Counts

8 → 3

Calls

Call 1

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

Outputs
(.f64 (.f64 3 y) x)
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(.f64 (.f64 3 y) x)

Calls

2 calls:

60.0ms	y
15.0ms	x

Results

Error	Segments	Branch
1.5b	3	`x`
15.8b	13	`y`

Compiler

Compiled 50 to 35 computations (30% saved)

bsearch36.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.062215775434316715	1710.2986852024874
19.0ms	-0.6809231744500898	-1.7985033032351837e-8

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes83.0ms (1.7%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

52.0ms	y
29.0ms	x

Results

Error	Segments	Branch
1.7b	3	`x`
16.9b	11	`y`

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch68.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	0.062215775434316715	1710.2986852024874
34.0ms	-0.6809231744500898	-1.7985033032351837e-8

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes18.0ms (0.4%)

Accuracy

Total -0.3b remaining (-1%)

Threshold costs -0.3b (-1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 -12/29 y)

Calls

2 calls:

8.0ms	x
8.0ms	y

Results

Error	Segments	Branch
26.3b	1	`x`
26.3b	1	`y`

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
3×	`+-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	103
1	44	103
2	45	103

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(.f64 (.f64 (-.f64 x 4/29) 3) y)
(.f64 3 (.f64 y (-.f64 x 4/29)))
(if (<=.f64 x -6133210709442719/9007199254740992) (.f64 (.f64 3 y) x) (if (<=.f64 x 8966238178001767/144115188075855872) (/.f64 -48/841 (/.f64 (+.f64 4/29 x) y)) (.f64 (.f64 3 y) x)))
(if (<=.f64 x -6133210709442719/9007199254740992) (.f64 (.f64 3 y) x) (if (<=.f64 x 8966238178001767/144115188075855872) (.f64 -12/29 y) (.f64 (*.f64 3 y) x)))
(*.f64 -12/29 y)

Outputs
(+.f64 (.f64 (.f64 x 3) y) (*.f64 -12/29 y))
(+.f64 (.f64 (.f64 x 3) y) (*.f64 y -12/29))
(.f64 (.f64 (-.f64 x 4/29) 3) y)
(.f64 y (.f64 3 (+.f64 x -4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(if (<=.f64 x -6133210709442719/9007199254740992) (.f64 (.f64 3 y) x) (if (<=.f64 x 8966238178001767/144115188075855872) (/.f64 -48/841 (/.f64 (+.f64 4/29 x) y)) (.f64 (.f64 3 y) x)))
(if (<=.f64 x -6133210709442719/9007199254740992) (.f64 x (.f64 3 y)) (if (<=.f64 x 8966238178001767/144115188075855872) (/.f64 -48/841 (/.f64 (+.f64 x 4/29) y)) (.f64 x (.f64 3 y))))
(if (<=.f64 x -6133210709442719/9007199254740992) (.f64 (.f64 3 y) x) (if (<=.f64 x 8966238178001767/144115188075855872) (.f64 -12/29 y) (.f64 (*.f64 3 y) x)))
(if (<=.f64 x -6133210709442719/9007199254740992) (.f64 x (.f64 3 y)) (if (<=.f64 x 8966238178001767/144115188075855872) (.f64 y -12/29) (.f64 x (*.f64 3 y))))
(*.f64 -12/29 y)
(*.f64 y -12/29)

Compiler

Compiled 84 to 61 computations (27.4% saved)

soundness23.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 90 to 74 computations (17.8% saved)

end102.0ms (2.1%)

Compiler: Compiled 74 to 51 computations (31.1% saved)

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

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

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