Details

analyze95.0ms (2.6%)

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)

sample780.0ms (21.1%)

Results

733.0ms	8256×	body	256	valid
35.0ms	135×	body	256	invalid

preprocess16.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	18	10
2	33	8
3	65	8
4	101	8
5	107	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

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)

localize13.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 31 to 25 computations (19.4% saved)

series5.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	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	y	@	inf	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms	x	@	0	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
0.0ms	x	@	-inf	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

rewrite48.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

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

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

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

simplify15.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

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)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite38.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

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

Outputs

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

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

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

70 → 44

Calls

Call 1

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

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

eval46.0ms (1.2%)

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

prune29.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	166	10	176
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	167	11	178

Error

0.0b

Counts

178 → 11

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 y (.f64 x 3)) (*.f64 y -12/29))
▶	37.1b	(.f64 (.f64 3 x) y)
	15.9b	(*.f64 (expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) y)
	1.3b	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)
	11.6b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
	37.0b	(.f64 3 (.f64 y x))
▶	0.2b	(.f64 (+.f64 (.f64 3 x) -12/29) y)
▶	15.9b	(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) 3)) 3) y)
	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
▶	25.2b	(*.f64 -12/29 y)

Compiler

Compiled 198 to 152 computations (23.2% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite41.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	171	13
2	2055	13

Stop Event

1×	node limit

Counts

2 → 53

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

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

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

89 → 62

Calls

Call 1

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

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series2.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

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

rewrite28.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 -12/29 y)

Outputs

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite30.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify9.0ms (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 → 13

Calls

Call 1

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

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

localize10.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

series4.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite53.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

483×	`log-prod_binary64`
400×	`fma-def_binary64`
348×	`exp-prod_binary64`
346×	`prod-exp_binary64`
309×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	195	19
2	2533	19

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

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

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

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

simplify32.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	402
1	44	402
2	112	402
3	207	402
4	264	402
5	400	402
6	651	402
7	892	402
8	989	402
9	995	402

Stop Event

1×

saturated

Counts

197 → 145

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

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

localize17.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) 3)) 3) y)
	0.0b	(pow.f64 (+.f64 x -4/29) 3)
	0.0b	(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) 3)) 3)
	0.0b	(+.f64 x -4/29)
✓	0.0b	(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) 3)) 3)
✓	0.0b	(pow.f64 (+.f64 x -4/29) 3)
✓	0.2b	(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) 3)) 3) y)
✓	15.0b	(cbrt.f64 (pow.f64 (+.f64 x -4/29) 3))

Compiler

Compiled 38 to 30 computations (21.1% saved)

series6.0ms (0.2%)

Counts

4 → 60

Calls

15 calls:

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

rewrite51.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`pow1_binary64`
899×	`add-log-exp_binary64`
899×	`log1p-expm1-u_binary64`
899×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	220	28
2	2430	28

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4/29 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 (+.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 (cbrt.f64 (+.f64 x -4/29)) (pow.f64 (pow.f64 (+.f64 x -4/29) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -64/24389 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 16/841 (.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (+.f64 x -4/29) 2) 1/3) (cbrt.f64 (+.f64 x -4/29)))))) (#(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 (pow.f64 (+.f64 x -4/29) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 x -4/29) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 16/841 (.f64 x -4/29))) (+.f64 -64/24389 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/841 (.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -64/24389 (pow.f64 x 3)) (+.f64 16/841 (-.f64 (.f64 x x) (.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 16/841 (.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/841)) (neg.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 expm1.f64 (log1p.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)))))
((#(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 (.f64 (+.f64 -64/24389 (pow.f64 x 3)) (.f64 3 y)) (fma.f64 x x (-.f64 16/841 (.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 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 (.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 log1p.f64 (expm1.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 x -4/29) (.f64 3 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (pow.f64 (+.f64 x -4/29) 2)) (.f64 -4/29 (pow.f64 (+.f64 x -4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -4/29 (pow.f64 (+.f64 x -4/29) 2)) (.f64 x (pow.f64 (+.f64 x -4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (+.f64 x -4/29) 2) x) (.f64 (pow.f64 (+.f64 x -4/29) 2) -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (+.f64 x -4/29) 2) -4/29) (.f64 (pow.f64 (+.f64 x -4/29) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x -4/29) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x -4/29) (pow.f64 (+.f64 x -4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x -4/29) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (+.f64 x -4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x -4/29) 2) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (.f64 (cbrt.f64 (+.f64 x -4/29)) (pow.f64 (+.f64 x -4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x -4/29)) (.f64 (sqrt.f64 (+.f64 x -4/29)) (pow.f64 (+.f64 x -4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x -4/29) 3/2) (pow.f64 (+.f64 x -4/29) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) 3) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (+.f64 x -4/29)) 3) (pow.f64 (sqrt.f64 (+.f64 x -4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (+.f64 x -4/29) 2) 1) (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (+.f64 x -4/29) 2) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (+.f64 x -4/29) 2) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 -64/24389 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x (-.f64 16/841 (.f64 x -4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x x -16/841) 3) (pow.f64 (+.f64 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -64/24389 (pow.f64 x 3)) (pow.f64 (+.f64 x -4/29) 2)) (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) (pow.f64 (+.f64 x -4/29) 2)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (+.f64 x -4/29) 2) (+.f64 -64/24389 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/841 (.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (+.f64 x -4/29) 2) (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -4/29) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x -4/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x -4/29) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 x -4/29) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x -4/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x -4/29) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 x) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 x 3) -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -64/24389 (pow.f64 x 3)) 3) (fma.f64 x x (-.f64 16/841 (.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (+.f64 -64/24389 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/841 (.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.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 log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 x 3) -12/29))))))) (#(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 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 expm1.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29)))))))

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

667×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
514×	`fma-def_binary64`
509×	`fma-neg_binary64`
381×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	586
1	117	574
2	254	472
3	566	453
4	1289	442
5	3478	442
6	6699	442

Stop Event

1×	node limit

Counts

162 → 140

Calls

Call 1

Inputs
-4/29
(-.f64 x 4/29)
(-.f64 x 4/29)
(-.f64 x 4/29)
x
(-.f64 x 4/29)
(-.f64 x 4/29)
(-.f64 x 4/29)
(.f64 -1 (.f64 (cbrt.f64 -1) x))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) x)) (*.f64 4/29 (cbrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) x)) (*.f64 4/29 (cbrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) x)) (*.f64 4/29 (cbrt.f64 -1)))
(*.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 (*.f64 (cbrt.f64 -1) x)))
(+.f64 (.f64 12/29 (.f64 y (cbrt.f64 -1))) (.f64 -3 (.f64 y (*.f64 (cbrt.f64 -1) x))))
(+.f64 (.f64 12/29 (.f64 y (cbrt.f64 -1))) (.f64 -3 (.f64 y (*.f64 (cbrt.f64 -1) x))))
(+.f64 (.f64 12/29 (.f64 y (cbrt.f64 -1))) (.f64 -3 (.f64 y (*.f64 (cbrt.f64 -1) x))))
(.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)))
-64/24389
(-.f64 (*.f64 48/841 x) 64/24389)
(-.f64 (+.f64 (.f64 48/841 x) (.f64 -12/29 (pow.f64 x 2))) 64/24389)
(-.f64 (+.f64 (.f64 48/841 x) (+.f64 (.f64 -12/29 (pow.f64 x 2)) (pow.f64 x 3))) 64/24389)
(pow.f64 x 3)
(+.f64 (*.f64 -12/29 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 48/841 x) (+.f64 (.f64 -12/29 (pow.f64 x 2)) (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 48/841 x) (+.f64 (.f64 -12/29 (pow.f64 x 2)) (pow.f64 x 3))) 64/24389)
(pow.f64 x 3)
(+.f64 (*.f64 -12/29 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 48/841 x) (+.f64 (.f64 -12/29 (pow.f64 x 2)) (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 48/841 x) (+.f64 (.f64 -12/29 (pow.f64 x 2)) (pow.f64 x 3))) 64/24389)
-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 (.f64 (cbrt.f64 -1) x))
(+.f64 (.f64 12/29 (cbrt.f64 -1)) (.f64 -3 (*.f64 (cbrt.f64 -1) x)))
(+.f64 (.f64 12/29 (cbrt.f64 -1)) (.f64 -3 (*.f64 (cbrt.f64 -1) x)))
(+.f64 (.f64 12/29 (cbrt.f64 -1)) (.f64 -3 (*.f64 (cbrt.f64 -1) x)))

Outputs
-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)
(.f64 -1 (.f64 (cbrt.f64 -1) x))
(neg.f64 (*.f64 x (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) x)) (*.f64 4/29 (cbrt.f64 -1)))
(fma.f64 -1 (.f64 x (cbrt.f64 -1)) (.f64 4/29 (cbrt.f64 -1)))
(-.f64 (.f64 4/29 (cbrt.f64 -1)) (.f64 x (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (-.f64 4/29 x))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) x)) (*.f64 4/29 (cbrt.f64 -1)))
(fma.f64 -1 (.f64 x (cbrt.f64 -1)) (.f64 4/29 (cbrt.f64 -1)))
(-.f64 (.f64 4/29 (cbrt.f64 -1)) (.f64 x (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (-.f64 4/29 x))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) x)) (*.f64 4/29 (cbrt.f64 -1)))
(fma.f64 -1 (.f64 x (cbrt.f64 -1)) (.f64 4/29 (cbrt.f64 -1)))
(-.f64 (.f64 4/29 (cbrt.f64 -1)) (.f64 x (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (-.f64 4/29 x))
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 x y))
(.f64 x (.f64 y 3))
(.f64 y (.f64 x 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 -3 (.f64 y (*.f64 (cbrt.f64 -1) x)))
(.f64 -3 (.f64 (*.f64 x (cbrt.f64 -1)) y))
(.f64 (.f64 x (cbrt.f64 -1)) (*.f64 y -3))
(.f64 (cbrt.f64 -1) (.f64 y (*.f64 x -3)))
(.f64 (cbrt.f64 -1) (.f64 x (*.f64 y -3)))
(.f64 x (.f64 (cbrt.f64 -1) (*.f64 y -3)))
(.f64 -3 (.f64 x (*.f64 (cbrt.f64 -1) y)))
(+.f64 (.f64 12/29 (.f64 y (cbrt.f64 -1))) (.f64 -3 (.f64 y (*.f64 (cbrt.f64 -1) x))))
(fma.f64 12/29 (.f64 (cbrt.f64 -1) y) (.f64 -3 (.f64 (.f64 x (cbrt.f64 -1)) y)))
(fma.f64 -3 (.f64 x (.f64 (cbrt.f64 -1) y)) (.f64 (cbrt.f64 -1) (.f64 y 12/29)))
(.f64 y (.f64 (cbrt.f64 -1) (+.f64 (*.f64 x -3) 12/29)))
(.f64 (.f64 (cbrt.f64 -1) y) (fma.f64 x -3 12/29))
(.f64 (cbrt.f64 -1) (.f64 y (fma.f64 x -3 12/29)))
(+.f64 (.f64 12/29 (.f64 y (cbrt.f64 -1))) (.f64 -3 (.f64 y (*.f64 (cbrt.f64 -1) x))))
(fma.f64 12/29 (.f64 (cbrt.f64 -1) y) (.f64 -3 (.f64 (.f64 x (cbrt.f64 -1)) y)))
(fma.f64 -3 (.f64 x (.f64 (cbrt.f64 -1) y)) (.f64 (cbrt.f64 -1) (.f64 y 12/29)))
(.f64 y (.f64 (cbrt.f64 -1) (+.f64 (*.f64 x -3) 12/29)))
(.f64 (.f64 (cbrt.f64 -1) y) (fma.f64 x -3 12/29))
(.f64 (cbrt.f64 -1) (.f64 y (fma.f64 x -3 12/29)))
(+.f64 (.f64 12/29 (.f64 y (cbrt.f64 -1))) (.f64 -3 (.f64 y (*.f64 (cbrt.f64 -1) x))))
(fma.f64 12/29 (.f64 (cbrt.f64 -1) y) (.f64 -3 (.f64 (.f64 x (cbrt.f64 -1)) y)))
(fma.f64 -3 (.f64 x (.f64 (cbrt.f64 -1) y)) (.f64 (cbrt.f64 -1) (.f64 y 12/29)))
(.f64 y (.f64 (cbrt.f64 -1) (+.f64 (*.f64 x -3) 12/29)))
(.f64 (.f64 (cbrt.f64 -1) y) (fma.f64 x -3 12/29))
(.f64 (cbrt.f64 -1) (.f64 y (fma.f64 x -3 12/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(*.f64 y (fma.f64 x 3 -12/29))
-64/24389
(-.f64 (*.f64 48/841 x) 64/24389)
(fma.f64 48/841 x -64/24389)
(fma.f64 x 48/841 -64/24389)
(-.f64 (+.f64 (.f64 48/841 x) (.f64 -12/29 (pow.f64 x 2))) 64/24389)
(+.f64 (fma.f64 48/841 x (.f64 -12/29 (.f64 x x))) -64/24389)
(fma.f64 x 48/841 (fma.f64 -12/29 (*.f64 x x) -64/24389))
(fma.f64 x (*.f64 x -12/29) (fma.f64 x 48/841 -64/24389))
(fma.f64 x (fma.f64 x -12/29 48/841) -64/24389)
(-.f64 (+.f64 (.f64 48/841 x) (+.f64 (.f64 -12/29 (pow.f64 x 2)) (pow.f64 x 3))) 64/24389)
(+.f64 (fma.f64 48/841 x (fma.f64 -12/29 (*.f64 x x) (pow.f64 x 3))) -64/24389)
(+.f64 (.f64 (.f64 x x) (+.f64 -12/29 x)) (fma.f64 x 48/841 -64/24389))
(fma.f64 (*.f64 x x) (+.f64 x -12/29) (fma.f64 x 48/841 -64/24389))
(fma.f64 x (fma.f64 x -12/29 48/841) (+.f64 (pow.f64 x 3) -64/24389))
(fma.f64 x (fma.f64 x (+.f64 x -12/29) 48/841) -64/24389)
(pow.f64 x 3)
(+.f64 (*.f64 -12/29 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 -12/29 (*.f64 x x) (pow.f64 x 3))
(.f64 (.f64 x x) (+.f64 -12/29 x))
(.f64 x (.f64 x (+.f64 x -12/29)))
(.f64 (.f64 x x) (+.f64 x -12/29))
(+.f64 (.f64 48/841 x) (+.f64 (.f64 -12/29 (pow.f64 x 2)) (pow.f64 x 3)))
(fma.f64 48/841 x (fma.f64 -12/29 (*.f64 x x) (pow.f64 x 3)))
(fma.f64 x 48/841 (.f64 (.f64 x x) (+.f64 -12/29 x)))
(fma.f64 (.f64 x x) (+.f64 x -12/29) (.f64 x 48/841))
(fma.f64 x (fma.f64 x -12/29 48/841) (pow.f64 x 3))
(*.f64 x (fma.f64 x (+.f64 x -12/29) 48/841))
(-.f64 (+.f64 (.f64 48/841 x) (+.f64 (.f64 -12/29 (pow.f64 x 2)) (pow.f64 x 3))) 64/24389)
(+.f64 (fma.f64 48/841 x (fma.f64 -12/29 (*.f64 x x) (pow.f64 x 3))) -64/24389)
(+.f64 (.f64 (.f64 x x) (+.f64 -12/29 x)) (fma.f64 x 48/841 -64/24389))
(fma.f64 (*.f64 x x) (+.f64 x -12/29) (fma.f64 x 48/841 -64/24389))
(fma.f64 x (fma.f64 x -12/29 48/841) (+.f64 (pow.f64 x 3) -64/24389))
(fma.f64 x (fma.f64 x (+.f64 x -12/29) 48/841) -64/24389)
(pow.f64 x 3)
(+.f64 (*.f64 -12/29 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 -12/29 (*.f64 x x) (pow.f64 x 3))
(.f64 (.f64 x x) (+.f64 -12/29 x))
(.f64 x (.f64 x (+.f64 x -12/29)))
(.f64 (.f64 x x) (+.f64 x -12/29))
(+.f64 (.f64 48/841 x) (+.f64 (.f64 -12/29 (pow.f64 x 2)) (pow.f64 x 3)))
(fma.f64 48/841 x (fma.f64 -12/29 (*.f64 x x) (pow.f64 x 3)))
(fma.f64 x 48/841 (.f64 (.f64 x x) (+.f64 -12/29 x)))
(fma.f64 (.f64 x x) (+.f64 x -12/29) (.f64 x 48/841))
(fma.f64 x (fma.f64 x -12/29 48/841) (pow.f64 x 3))
(*.f64 x (fma.f64 x (+.f64 x -12/29) 48/841))
(-.f64 (+.f64 (.f64 48/841 x) (+.f64 (.f64 -12/29 (pow.f64 x 2)) (pow.f64 x 3))) 64/24389)
(+.f64 (fma.f64 48/841 x (fma.f64 -12/29 (*.f64 x x) (pow.f64 x 3))) -64/24389)
(+.f64 (.f64 (.f64 x x) (+.f64 -12/29 x)) (fma.f64 x 48/841 -64/24389))
(fma.f64 (*.f64 x x) (+.f64 x -12/29) (fma.f64 x 48/841 -64/24389))
(fma.f64 x (fma.f64 x -12/29 48/841) (+.f64 (pow.f64 x 3) -64/24389))
(fma.f64 x (fma.f64 x (+.f64 x -12/29) 48/841) -64/24389)
-12/29
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(*.f64 3 x)
(*.f64 x 3)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(fma.f64 x 3 -12/29)
(.f64 -3 (.f64 (cbrt.f64 -1) x))
(.f64 (.f64 x (cbrt.f64 -1)) -3)
(.f64 x (.f64 (cbrt.f64 -1) -3))
(.f64 (cbrt.f64 -1) (.f64 x -3))
(+.f64 (.f64 12/29 (cbrt.f64 -1)) (.f64 -3 (*.f64 (cbrt.f64 -1) x)))
(fma.f64 12/29 (cbrt.f64 -1) (.f64 (.f64 x (cbrt.f64 -1)) -3))
(fma.f64 (.f64 x (cbrt.f64 -1)) -3 (.f64 (cbrt.f64 -1) 12/29))
(.f64 (cbrt.f64 -1) (+.f64 (.f64 x -3) 12/29))
(*.f64 (cbrt.f64 -1) (fma.f64 x -3 12/29))
(+.f64 (.f64 12/29 (cbrt.f64 -1)) (.f64 -3 (*.f64 (cbrt.f64 -1) x)))
(fma.f64 12/29 (cbrt.f64 -1) (.f64 (.f64 x (cbrt.f64 -1)) -3))
(fma.f64 (.f64 x (cbrt.f64 -1)) -3 (.f64 (cbrt.f64 -1) 12/29))
(.f64 (cbrt.f64 -1) (+.f64 (.f64 x -3) 12/29))
(*.f64 (cbrt.f64 -1) (fma.f64 x -3 12/29))
(+.f64 (.f64 12/29 (cbrt.f64 -1)) (.f64 -3 (*.f64 (cbrt.f64 -1) x)))
(fma.f64 12/29 (cbrt.f64 -1) (.f64 (.f64 x (cbrt.f64 -1)) -3))
(fma.f64 (.f64 x (cbrt.f64 -1)) -3 (.f64 (cbrt.f64 -1) 12/29))
(.f64 (cbrt.f64 -1) (+.f64 (.f64 x -3) 12/29))
(*.f64 (cbrt.f64 -1) (fma.f64 x -3 12/29))

eval102.0ms (2.8%)

Compiler: Compiled 4707 to 3454 computations (26.6% saved)

prune56.0ms (1.5%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	376	9	385
Fresh	4	1	5
Picked	1	0	1
Done	0	5	5
Total	381	15	396

Error

Counts

396 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(pow.f64 (.f64 (+.f64 x -4/29) (.f64 3 y)) 1)
✓	0.2b	(.f64 (+.f64 (.f64 3 x) -12/29) y)
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
✓	0.2b	(+.f64 (.f64 y (.f64 x 3)) (*.f64 y -12/29))
	51.6b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 x -12/29))) 3) y)
	37.0b	(.f64 3 (.f64 y x))
✓	37.1b	(.f64 (.f64 3 x) y)
	11.5b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -144/841) y) (fma.f64 3 x 12/29))
	43.5b	(pow.f64 (sqrt.f64 (*.f64 -12/29 y)) 2)
▶	31.7b	(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (.f64 (pow.f64 (.f64 y x) 2) 9)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
	54.8b	(sqrt.f64 (.f64 (.f64 y y) 144/841))
▶	0.2b	(fma.f64 3 (.f64 y x) (.f64 y -12/29))
▶	37.0b	(.f64 x (.f64 3 y))
▶	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	25.2b	(*.f64 -12/29 y)

Compiler

Compiled 270 to 202 computations (25.2% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite36.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	161	11
2	1795	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify23.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	186
1	45	186
2	112	186
3	207	186
4	264	186
5	400	186
6	649	186
7	891	186
8	988	186
9	994	186

Stop Event

1×

saturated

Counts

45 → 29

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite30.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify9.0ms (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 → 13

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

series4.0ms (0.1%)

Counts

3 → 27

Calls

15 calls:

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

rewrite46.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Outputs

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

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

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

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

91 → 76

Calls

Call 1

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

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

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite41.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	172	14
2	2095	14

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	288
1	26	288
2	53	267
3	99	225
4	107	225

Stop Event

1×

saturated

Counts

87 → 61

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

localize27.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 y y) 144/841)
	0.1b	(.f64 (pow.f64 (.f64 y x) 2) 9)
	0.1b	(*.f64 y -12/29)
	0.0b	(-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x)))
✓	0.2b	(pow.f64 (*.f64 y x) 2)
✓	0.3b	(.f64 3 (.f64 y x))
✓	5.6b	(-.f64 (.f64 (.f64 y y) 144/841) (.f64 (pow.f64 (.f64 y x) 2) 9))
✓	30.4b	(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (.f64 (pow.f64 (.f64 y x) 2) 9)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))

Compiler

Compiled 85 to 46 computations (45.9% saved)

series15.0ms (0.4%)

Counts

4 → 72

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (.f64 (pow.f64 (.f64 y x) 2) 9)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
2.0ms	y	@	0	(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (.f64 (pow.f64 (.f64 y x) 2) 9)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
1.0ms	x	@	-inf	(-.f64 (.f64 (.f64 y y) 144/841) (.f64 (pow.f64 (.f64 y x) 2) 9))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (.f64 (pow.f64 (.f64 y x) 2) 9)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (.f64 (pow.f64 (.f64 y x) 2) 9)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))

rewrite89.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`fma-neg_binary64`
325×	`expm1-udef_binary64`
325×	`log1p-udef_binary64`
258×	`log-pow_binary64`
203×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	67
1	424	42
2	5755	42

Stop Event

1×	node limit

Counts

4 → 214

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (.f64 (pow.f64 (.f64 y x) 2) 9)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
(-.f64 (.f64 (.f64 y y) 144/841) (.f64 (pow.f64 (.f64 y x) 2) 9))
(.f64 3 (.f64 y x))
(pow.f64 (*.f64 y x) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -12/29) (.f64 y (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 x 3)) (.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 144/841 (/.f64 (.f64 y y) (fma.f64 y -12/29 (.f64 (.f64 y x) -3)))) (neg.f64 (.f64 9 (/.f64 (pow.f64 (.f64 y x) 2) (fma.f64 y -12/29 (.f64 (.f64 y x) -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 144/841 (/.f64 (.f64 y y) (fma.f64 y -12/29 (.f64 (.f64 y x) -3)))) (.f64 9 (/.f64 (pow.f64 (.f64 y x) 2) (fma.f64 y -12/29 (.f64 (.f64 y x) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y -12/29 (.f64 y (.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y (.f64 y 144/841) (.f64 (pow.f64 (.f64 y x) 2) -9)) (/.f64 1 (fma.f64 y -12/29 (.f64 (.f64 y x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y -12/29 (.f64 y (.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (.f64 y -12/29) (sqrt.f64 (.f64 (pow.f64 (.f64 y x) 2) -9))) (hypot.f64 (.f64 y -12/29) (sqrt.f64 (.f64 (pow.f64 (.f64 y x) 2) -9))) (fma.f64 -9 (pow.f64 (.f64 y x) 2) (.f64 (pow.f64 (.f64 y x) 2) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 y -12/29)) (.f64 (sqrt.f64 (.f64 y -12/29)) (.f64 y -12/29)) (.f64 (pow.f64 (.f64 y x) 2) -9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 y -12/29)) (.f64 (sqrt.f64 (.f64 y -12/29)) (.f64 y -12/29)) (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 2) 9) (fma.f64 -9 (pow.f64 (.f64 y x) 2) (.f64 (pow.f64 (.f64 y x) 2) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 y 144/841)) (.f64 (pow.f64 (.f64 y x) 2) -9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 y 144/841)) (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 2) 9) (fma.f64 -9 (pow.f64 (.f64 y x) 2) (.f64 (pow.f64 (.f64 y x) 2) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y 144/841) y (.f64 (pow.f64 (.f64 y x) 2) -9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y 144/841) y (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 2) 9) (fma.f64 -9 (pow.f64 (.f64 y x) 2) (.f64 (pow.f64 (.f64 y x) 2) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 y -12/29) (sqrt.f64 (.f64 y -12/29))) (sqrt.f64 (.f64 y -12/29)) (.f64 (pow.f64 (.f64 y x) 2) -9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 y -12/29) (sqrt.f64 (.f64 y -12/29))) (sqrt.f64 (.f64 y -12/29)) (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 2) 9) (fma.f64 -9 (pow.f64 (.f64 y x) 2) (.f64 (pow.f64 (.f64 y x) 2) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 144/841 (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) (.f64 (pow.f64 (.f64 y x) 2) -9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 144/841 (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) 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-12/29) (cbrt.f64 (.f64 y (.f64 y 144/841)))) (cbrt.f64 (.f64 y -12/29)) (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 2) 9) (fma.f64 -9 (pow.f64 (.f64 y x) 2) (.f64 (pow.f64 (*.f64 y x) 2) 9)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 y x) 2) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 27 (pow.f64 (.f64 y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 y x) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 y (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 27 (pow.f64 (.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 y x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 y (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 x (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y y) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 y (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y x) (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 y x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (pow.f64 (.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (.f64 (cbrt.f64 (.f64 y x)) (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 y x) 4)) (pow.f64 (cbrt.f64 (.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 y 4)) (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 y x)) (.f64 (sqrt.f64 (.f64 y x)) (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 y x) (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 y x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 y x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 y x)) 2)) (cbrt.f64 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 y x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) 2)))))))

simplify45.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-/l*_binary64`
457×	`associate-l_binary64`
451×	`fma-def_binary64`
410×	`times-frac_binary64`
397×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	990
1	82	990
2	180	915
3	592	873
4	2694	873

Stop Event

1×	node limit

Counts

286 → 232

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (-.f64 12/29 (.f64 -3 x))))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (-.f64 12/29 (.f64 -3 x))))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (-.f64 12/29 (.f64 -3 x))))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (-.f64 12/29 (.f64 -3 x))))
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))

Outputs
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
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(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))

eval163.0ms (4.4%)

Compiler: Compiled 9260 to 6029 computations (34.9% saved)

prune61.0ms (1.6%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	431	7	438
Fresh	4	1	5
Picked	1	0	1
Done	3	6	9
Total	439	14	453

Error

Counts

453 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	37.0b	(.f64 3 (.f64 y x))
✓	0.2b	(+.f64 (.f64 y (.f64 x 3)) (*.f64 y -12/29))
	51.6b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 x -12/29))) 3) y)
	55.3b	(/.f64 (.f64 x (.f64 x (.f64 y (.f64 y -9)))) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
▶	11.5b	(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
▶	25.3b	(.f64 3 (.f64 -4/29 y))
✓	0.2b	(.f64 (+.f64 (.f64 3 x) -12/29) y)
▶	31.7b	(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (.f64 (.f64 (.f64 y x) (.f64 y x)) 9)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
✓	37.1b	(.f64 (.f64 3 x) y)
▶	0.3b	(+.f64 (.f64 x (.f64 3 y)) (.f64 -4/29 (.f64 3 y)))
▶	45.9b	(/.f64 (.f64 y (.f64 y 144/841)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
✓	37.0b	(.f64 x (.f64 3 y))
✓	25.2b	(*.f64 -12/29 y)

Compiler

Compiled 298 to 214 computations (28.2% saved)

localize11.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.3b	(.f64 -4/29 (.f64 3 y))
	0.2b	(.f64 x (.f64 3 y))
	0.0b	(+.f64 (.f64 x (.f64 3 y)) (.f64 -4/29 (.f64 3 y)))
✓	0.0b	(+.f64 (.f64 x (.f64 3 y)) (.f64 -4/29 (.f64 3 y)))
	0.2b	(.f64 x (.f64 3 y))
✓	0.3b	(.f64 -4/29 (.f64 3 y))

Compiler

Compiled 30 to 21 computations (30% saved)

series2.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite50.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`log-prod_binary64`
458×	`fma-def_binary64`
363×	`exp-prod_binary64`
351×	`prod-exp_binary64`
317×	`pow-prod-down_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	198	14
2	2605	12

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 3 x -12/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 3 x)) 2) (*.f64 y (fma.f64 3 x 12/29))) (/.f64 (pow.f64 (*.f64 y -12/29) 2) (*.f64 y (fma.f64 3 x 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 y (+.f64 -4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 -12/29 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (fma.f64 3 x -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 3 (+.f64 -4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 y) (+.f64 -4/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (fma.f64 3 x -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) (+.f64 -4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29))) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29))) 2) (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) (+.f64 -4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (fma.f64 3 x -12/29))) (sqrt.f64 (*.f64 y (fma.f64 3 x -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1728/24389 (pow.f64 y 3) (pow.f64 (*.f64 y (*.f64 3 x)) 3)) (/.f64 1 (fma.f64 (*.f64 y -12/29) (-.f64 (*.f64 y -12/29) (*.f64 y (*.f64 3 x))) (pow.f64 (*.f64 y (*.f64 3 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y (fma.f64 3 x -12/29)) (*.f64 y (fma.f64 3 x 12/29))) (/.f64 1 (*.f64 y (fma.f64 3 x 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -4/29 x) (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y -12/29) (-.f64 (*.f64 y -12/29) (*.f64 y (*.f64 3 x))) (pow.f64 (*.f64 y (*.f64 3 x)) 2)) (fma.f64 -1728/24389 (pow.f64 y 3) (pow.f64 (*.f64 y (*.f64 3 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y (fma.f64 3 x 12/29)) (*.f64 (*.f64 y (fma.f64 3 x -12/29)) (*.f64 y (fma.f64 3 x 12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1728/24389 (pow.f64 y 3) (pow.f64 (*.f64 y (*.f64 3 x)) 3)) (fma.f64 (*.f64 y -12/29) (-.f64 (*.f64 y -12/29) (*.f64 y (*.f64 3 x))) (pow.f64 (*.f64 y (*.f64 3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1728/24389 (pow.f64 y 3) (pow.f64 (*.f64 y (*.f64 3 x)) 3)) (fma.f64 144/841 (*.f64 y y) (-.f64 (pow.f64 (*.f64 y (*.f64 3 x)) 2) (*.f64 (*.f64 3 y) (*.f64 x (*.f64 y -12/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (fma.f64 3 x -12/29)) (*.f64 y (fma.f64 3 x 12/29))) (*.f64 y (fma.f64 3 x 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1728/24389 (pow.f64 y 3) (pow.f64 (*.f64 y (*.f64 3 x)) 3))) (neg.f64 (fma.f64 (*.f64 y -12/29) (-.f64 (*.f64 y -12/29) (*.f64 y (*.f64 3 x))) (pow.f64 (*.f64 y (*.f64 3 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 3 x -12/29)) (*.f64 y (fma.f64 3 x 12/29)))) (neg.f64 (*.f64 y (fma.f64 3 x 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y -12/29) 2) (pow.f64 (*.f64 y (*.f64 3 x)) 2)) (-.f64 (*.f64 y -12/29) (*.f64 y (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (fma.f64 3 x -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (fma.f64 3 x -12/29)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (fma.f64 3 x -12/29)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (fma.f64 3 x -12/29))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y (fma.f64 3 x -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 y -12/29) (-.f64 (*.f64 y -12/29) (*.f64 y (*.f64 3 x))) (pow.f64 (*.f64 y (*.f64 3 x)) 2)) (fma.f64 -1728/24389 (pow.f64 y 3) (pow.f64 (*.f64 y (*.f64 3 x)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (fma.f64 3 x 12/29)) (*.f64 (*.f64 y (fma.f64 3 x -12/29)) (*.f64 y (fma.f64 3 x 12/29)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (fma.f64 3 x -12/29)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (fma.f64 3 x -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (fma.f64 3 x -12/29))))) (sqrt.f64 (log.f64 (*.f64 y (fma.f64 3 x -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (fma.f64 3 x -12/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 3 x -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y -12/29))) (pow.f64 (exp.f64 x) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -12/29) y) (+.f64 1 (expm1.f64 (*.f64 y (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y -12/29))) (+.f64 1 (expm1.f64 (*.f64 y (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 3 x)))) (pow.f64 (exp.f64 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 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 (*.f64 3 x)))) (+.f64 1 (expm1.f64 (*.f64 y -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (fma.f64 3 x -12/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (fma.f64 3 x -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (fma.f64 3 x -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 3 x -12/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (fma.f64 3 x -12/29)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (fma.f64 3 x -12/29)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 3 x -12/29))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 3 y)) 1) (log.f64 (+.f64 -4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 -4/29 x)) (*.f64 (log.f64 (*.f64 3 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (fma.f64 3 x -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4/29 (*.f64 3 y) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 y -4/29) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -12/29 (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 3 x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 y) -4/29 (*.f64 y (*.f64 3 x)))))) (#(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 y -12/29) 1 (*.f64 y (*.f64 3 x)))))) (#(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 (*.f64 y (*.f64 3 x)) 1 (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y -12/29) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (*.f64 3 x)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (*.f64 3 x))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 3 x))) 2) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 3 x))) 2) (cbrt.f64 (*.f64 y (*.f64 3 x))) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) -4/29) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y -12/29)) (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2) (cbrt.f64 (*.f64 y -12/29)) (*.f64 y (*.f64 3 x)))))) (#(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 (sqrt.f64 (*.f64 y (*.f64 3 x))) (sqrt.f64 (*.f64 y (*.f64 3 x))) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) -4/29) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -12/29)) (sqrt.f64 (*.f64 y -12/29)) (*.f64 y (*.f64 3 x)))))) (#(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 -12/29 y (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) y (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) 3 (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 3 y)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) 1) y (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/29 y) 3 (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/29 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 3 y)) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/29 (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y)) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12/29 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12/29 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (*.f64 3 x)))))))

simplify25.0ms (0.7%)

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	297
1	44	234
2	112	234
3	207	234
4	265	234
5	401	234
6	651	234
7	892	234
8	989	234
9	995	234

Stop Event

1×

saturated

Counts

155 → 125

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

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series2.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite33.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`pow1_binary64`
519×	`add-sqr-sqrt_binary64`
494×	`add-log-exp_binary64`
494×	`log1p-expm1-u_binary64`
494×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	124	8
2	1343	8

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

34 → 23

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)

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)

localize21.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 y (.f64 y 144/841))
	0.1b	(*.f64 y -12/29)
	0.0b	(*.f64 y 144/841)
	0.0b	(-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x)))
	0.1b	(*.f64 y -12/29)
✓	0.1b	(.f64 y (.f64 y 144/841))
	0.3b	(.f64 3 (.f64 y x))
✓	23.9b	(/.f64 (.f64 y (.f64 y 144/841)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))

Compiler

Compiled 50 to 29 computations (42% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/.f64 (.f64 y (.f64 y 144/841)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
1.0ms	y	@	0	(/.f64 (.f64 y (.f64 y 144/841)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
1.0ms	x	@	inf	(/.f64 (.f64 y (.f64 y 144/841)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
1.0ms	y	@	inf	(/.f64 (.f64 y (.f64 y 144/841)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
0.0ms	x	@	0	(/.f64 (.f64 y (.f64 y 144/841)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))

rewrite57.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log-prod_binary64`
547×	`fma-def_binary64`
298×	`fma-neg_binary64`
252×	`pow1/3_binary64`
247×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	295	27
2	4050	27

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

Inputs
(/.f64 (.f64 y (.f64 y 144/841)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
(.f64 y (.f64 y 144/841))

Outputs

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

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

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

839×	`fma-def_binary64`
739×	`unswap-sqr_binary64`
562×	`distribute-rgt-out_binary64`
533×	`associate-l_binary64`
400×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	459
1	134	459
2	325	432
3	1075	409
4	5494	409

Stop Event

1×	node limit

Counts

110 → 95

Calls

Call 1

Inputs
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(.f64 -144/841 (/.f64 y (-.f64 12/29 (.f64 -3 x))))
(.f64 -144/841 (/.f64 y (-.f64 12/29 (.f64 -3 x))))
(.f64 -144/841 (/.f64 y (-.f64 12/29 (.f64 -3 x))))
(.f64 -144/841 (/.f64 y (-.f64 12/29 (.f64 -3 x))))
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.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 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))

Outputs
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(*.f64 -144/841 (/.f64 y (fma.f64 3 x 12/29)))
(/.f64 (*.f64 -144/841 y) (fma.f64 3 x 12/29))
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(*.f64 -144/841 (/.f64 y (fma.f64 3 x 12/29)))
(/.f64 (*.f64 -144/841 y) (fma.f64 3 x 12/29))
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(*.f64 -144/841 (/.f64 y (fma.f64 3 x 12/29)))
(/.f64 (*.f64 -144/841 y) (fma.f64 3 x 12/29))
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(*.f64 -144/841 (/.f64 y (fma.f64 3 x 12/29)))
(/.f64 (*.f64 -144/841 y) (fma.f64 3 x 12/29))
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(*.f64 -144/841 (/.f64 y (fma.f64 3 x 12/29)))
(/.f64 (*.f64 -144/841 y) (fma.f64 3 x 12/29))
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(*.f64 -144/841 (/.f64 y (fma.f64 3 x 12/29)))
(/.f64 (*.f64 -144/841 y) (fma.f64 3 x 12/29))
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(*.f64 -144/841 (/.f64 y (fma.f64 3 x 12/29)))
(/.f64 (*.f64 -144/841 y) (fma.f64 3 x 12/29))
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(*.f64 -144/841 (/.f64 y (fma.f64 3 x 12/29)))
(/.f64 (*.f64 -144/841 y) (fma.f64 3 x 12/29))
(.f64 -144/841 (/.f64 y (-.f64 12/29 (.f64 -3 x))))
(*.f64 -144/841 (/.f64 y (fma.f64 3 x 12/29)))
(/.f64 (*.f64 -144/841 y) (fma.f64 3 x 12/29))
(.f64 -144/841 (/.f64 y (-.f64 12/29 (.f64 -3 x))))
(*.f64 -144/841 (/.f64 y (fma.f64 3 x 12/29)))
(/.f64 (*.f64 -144/841 y) (fma.f64 3 x 12/29))
(.f64 -144/841 (/.f64 y (-.f64 12/29 (.f64 -3 x))))
(*.f64 -144/841 (/.f64 y (fma.f64 3 x 12/29)))
(/.f64 (*.f64 -144/841 y) (fma.f64 3 x 12/29))
(.f64 -144/841 (/.f64 y (-.f64 12/29 (.f64 -3 x))))
(*.f64 -144/841 (/.f64 y (fma.f64 3 x 12/29)))
(/.f64 (*.f64 -144/841 y) (fma.f64 3 x 12/29))
(*.f64 -12/29 y)
(*.f64 y -12/29)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 y -12/29))
(fma.f64 y -12/29 (.f64 y (.f64 3 x)))
(.f64 y (+.f64 -12/29 (.f64 3 x)))
(*.f64 y (fma.f64 3 x -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 y (.f64 3 x) (.f64 y (+.f64 -12/29 (.f64 -87/4 (.f64 x x)))))
(.f64 y (+.f64 (.f64 x (+.f64 (*.f64 x -87/4) 3)) -12/29))
(.f64 y (+.f64 -12/29 (.f64 x (-.f64 (*.f64 x -87/4) -3))))
(+.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 y (.f64 3 x) (fma.f64 y -12/29 (.f64 (.f64 x x) (+.f64 (.f64 y -87/4) (.f64 y (.f64 2523/16 x))))))
(.f64 y (+.f64 (.f64 x (+.f64 (*.f64 x -87/4) 3)) (fma.f64 2523/16 (pow.f64 x 3) -12/29)))
(.f64 y (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 x 2523/16) -87/4)) (fma.f64 3 x -12/29)))
(*.f64 -48/841 (/.f64 y x))
(/.f64 (*.f64 y -48/841) 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 -48/841 (/.f64 y x) (/.f64 192/24389 (/.f64 (*.f64 x x) y)))
(*.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 -48/841 (/.f64 y x) (/.f64 192/24389 (/.f64 (*.f64 x x) y))))
(fma.f64 -48/841 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 192/24389 (/.f64 -768/707281 x))))
(.f64 (/.f64 y x) (+.f64 -48/841 (+.f64 (/.f64 -768/707281 (.f64 x x)) (/.f64 192/24389 x))))
(*.f64 (/.f64 y x) (+.f64 (+.f64 -48/841 (/.f64 192/24389 x)) (/.f64 (/.f64 -768/707281 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 -48/841 (/.f64 y x) (/.f64 192/24389 (/.f64 (*.f64 x x) y)))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -48/841 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 192/24389 (/.f64 -768/707281 x)))))
(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 (pow.f64 x 3)) (+.f64 (/.f64 3072/20511149 x) -768/707281)))
(*.f64 -48/841 (/.f64 y x))
(/.f64 (*.f64 y -48/841) 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 -48/841 (/.f64 y x) (/.f64 192/24389 (/.f64 (*.f64 x x) y)))
(*.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 -48/841 (/.f64 y x) (/.f64 192/24389 (/.f64 (*.f64 x x) y))))
(fma.f64 -48/841 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 192/24389 (/.f64 -768/707281 x))))
(.f64 (/.f64 y x) (+.f64 -48/841 (+.f64 (/.f64 -768/707281 (.f64 x x)) (/.f64 192/24389 x))))
(*.f64 (/.f64 y x) (+.f64 (+.f64 -48/841 (/.f64 192/24389 x)) (/.f64 (/.f64 -768/707281 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 -48/841 (/.f64 y x) (/.f64 192/24389 (/.f64 (*.f64 x x) y)))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -48/841 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 192/24389 (/.f64 -768/707281 x)))))
(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 (pow.f64 x 3)) (+.f64 (/.f64 3072/20511149 x) -768/707281)))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))
(*.f64 144/841 (pow.f64 y 2))
(.f64 144/841 (.f64 y y))
(.f64 y (.f64 y 144/841))

localize26.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 y y) 144/841)
	0.1b	(.f64 (.f64 (.f64 y x) (.f64 y x)) 9)
	0.1b	(*.f64 y -12/29)
	0.0b	(-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x)))
✓	0.2b	(.f64 (.f64 y x) (*.f64 y x))
	0.3b	(.f64 3 (.f64 y x))
✓	5.6b	(-.f64 (.f64 (.f64 y y) 144/841) (.f64 (.f64 (.f64 y x) (.f64 y x)) 9))
✓	30.4b	(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (.f64 (.f64 (.f64 y x) (.f64 y x)) 9)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))

Compiler

Compiled 92 to 38 computations (58.7% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (.f64 (.f64 (.f64 y x) (.f64 y x)) 9)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
0.0ms	x	@	0	(.f64 (.f64 y x) (*.f64 y x))
0.0ms	y	@	0	(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (.f64 (.f64 (.f64 y x) (.f64 y x)) 9)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
0.0ms	x	@	inf	(.f64 (.f64 y x) (*.f64 y x))
0.0ms	y	@	inf	(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (.f64 (.f64 (.f64 y x) (.f64 y x)) 9)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))

rewrite93.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`fma-neg_binary64`
319×	`expm1-udef_binary64`
319×	`log1p-udef_binary64`
253×	`log-pow_binary64`
197×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	405	35
2	5769	35

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

Inputs

(/.f64 (-.f64 (*.f64 (*.f64 y y) 144/841) (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) 9)) (-.f64 (*.f64 y -12/29) (*.f64 3 (*.f64 y x))))

(-.f64 (*.f64 (*.f64 y y) 144/841) (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) 9))

(*.f64 (*.f64 y x) (*.f64 y x))

Outputs

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

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

simplify44.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-/l*_binary64`
457×	`associate-l_binary64`
451×	`fma-def_binary64`
410×	`times-frac_binary64`
397×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	990
1	82	990
2	180	915
3	592	873
4	2694	873

Stop Event

1×	node limit

Counts

260 → 206

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (-.f64 12/29 (.f64 -3 x))))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (-.f64 12/29 (.f64 -3 x))))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (-.f64 12/29 (.f64 -3 x))))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (-.f64 12/29 (.f64 -3 x))))
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(*.f64 144/841 (pow.f64 y 2))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))

Outputs
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (.f64 3 x) 12/29)))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (-.f64 12/29 (.f64 -3 x))))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (-.f64 12/29 (.f64 -3 x))))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (-.f64 12/29 (.f64 -3 x))))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(.f64 -1 (/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (-.f64 12/29 (.f64 -3 x))))
(neg.f64 (/.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (/.f64 (fma.f64 3 x 12/29) y)))
(/.f64 (neg.f64 (-.f64 144/841 (.f64 9 (.f64 x x)))) (/.f64 (fma.f64 x 3 12/29) y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (.f64 x x) -9 144/841))) (fma.f64 x 3 12/29))
(.f64 y (/.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 12/29)))
(*.f64 -12/29 y)
(*.f64 y -12/29)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
(.f64 y (+.f64 -12/29 (.f64 x 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
(.f64 y (+.f64 -12/29 (.f64 x 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
(.f64 y (+.f64 -12/29 (.f64 x 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 x y))
(.f64 y (.f64 x 3))
(.f64 x (.f64 y 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
(.f64 y (+.f64 -12/29 (.f64 x 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
(.f64 y (+.f64 -12/29 (.f64 x 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
(.f64 y (+.f64 -12/29 (.f64 x 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 x y))
(.f64 y (.f64 x 3))
(.f64 x (.f64 y 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
(.f64 y (+.f64 -12/29 (.f64 x 3)))
(*.f64 y (fma.f64 x 3 -12/29))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 y -12/29))
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(.f64 y (+.f64 -12/29 (.f64 x 3)))
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(.f64 y (+.f64 -12/29 (.f64 x 3)))
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(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
(.f64 (fma.f64 (.f64 x x) -9 144/841) (*.f64 y y))
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(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
(.f64 (fma.f64 (.f64 x x) -9 144/841) (*.f64 y y))
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(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
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(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
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(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
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(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
(.f64 (fma.f64 (.f64 x x) -9 144/841) (*.f64 y y))
(.f64 y (.f64 (fma.f64 x (*.f64 x -9) 144/841) y))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
(.f64 (fma.f64 (.f64 x x) -9 144/841) (*.f64 y y))
(.f64 y (.f64 (fma.f64 x (*.f64 x -9) 144/841) y))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
(.f64 (fma.f64 (.f64 x x) -9 144/841) (*.f64 y y))
(.f64 y (.f64 (fma.f64 x (*.f64 x -9) 144/841) y))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
(.f64 (fma.f64 (.f64 x x) -9 144/841) (*.f64 y y))
(.f64 y (.f64 (fma.f64 x (*.f64 x -9) 144/841) y))
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(.f64 144/841 (.f64 y y))
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(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
(.f64 (fma.f64 (.f64 x x) -9 144/841) (*.f64 y y))
(.f64 y (.f64 (fma.f64 x (*.f64 x -9) 144/841) y))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
(.f64 (fma.f64 (.f64 x x) -9 144/841) (*.f64 y y))
(.f64 y (.f64 (fma.f64 x (*.f64 x -9) 144/841) y))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
(.f64 (fma.f64 (.f64 x x) -9 144/841) (*.f64 y y))
(.f64 y (.f64 (fma.f64 x (*.f64 x -9) 144/841) y))
(.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(.f64 -9 (.f64 (.f64 x x) (.f64 y y)))
(.f64 -9 (.f64 (.f64 x y) (.f64 x y)))
(.f64 x (.f64 (.f64 y y) (.f64 x -9)))
(.f64 x (.f64 (.f64 x y) (.f64 y -9)))
(.f64 x (.f64 x (.f64 y (.f64 y -9))))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
(.f64 (fma.f64 (.f64 x x) -9 144/841) (*.f64 y y))
(.f64 y (.f64 (fma.f64 x (*.f64 x -9) 144/841) y))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
(.f64 (fma.f64 (.f64 x x) -9 144/841) (*.f64 y y))
(.f64 y (.f64 (fma.f64 x (*.f64 x -9) 144/841) y))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
(.f64 (fma.f64 (.f64 x x) -9 144/841) (*.f64 y y))
(.f64 y (.f64 (fma.f64 x (*.f64 x -9) 144/841) y))
(.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(.f64 -9 (.f64 (.f64 x x) (.f64 y y)))
(.f64 -9 (.f64 (.f64 x y) (.f64 x y)))
(.f64 x (.f64 (.f64 y y) (.f64 x -9)))
(.f64 x (.f64 (.f64 x y) (.f64 y -9)))
(.f64 x (.f64 x (.f64 y (.f64 y -9))))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
(.f64 (fma.f64 (.f64 x x) -9 144/841) (*.f64 y y))
(.f64 y (.f64 (fma.f64 x (*.f64 x -9) 144/841) y))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
(.f64 (fma.f64 (.f64 x x) -9 144/841) (*.f64 y y))
(.f64 y (.f64 (fma.f64 x (*.f64 x -9) 144/841) y))
(+.f64 (.f64 -9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 144/841 (pow.f64 y 2)))
(.f64 (+.f64 144/841 (.f64 -9 (.f64 x x))) (.f64 y y))
(.f64 (-.f64 144/841 (.f64 9 (.f64 x x))) (.f64 y y))
(.f64 (fma.f64 (.f64 x x) -9 144/841) (*.f64 y y))
(.f64 y (.f64 (fma.f64 x (*.f64 x -9) 144/841) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 (*.f64 x x) y))

localize31.0ms (0.8%)

Local error

Found 8 expressions with local error:

New	Error	Program
	8.0b	(/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (*.f64 3 x) 12/29))
	2.9b	(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y)
	0.1b	(*.f64 9 (pow.f64 x 2))
	0.0b	(+.f64 (*.f64 3 x) 12/29)
✓	0.0b	(+.f64 (*.f64 3 x) 12/29)
✓	0.1b	(*.f64 9 (pow.f64 x 2))
✓	2.9b	(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y)
✓	8.0b	(/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (*.f64 3 x) 12/29))

Compiler

Compiled 74 to 59 computations (20.3% saved)

series8.0ms (0.2%)

Counts

4 → 27

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (*.f64 3 x) 12/29))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (*.f64 3 x) 12/29))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (*.f64 3 x) 12/29))
1.0ms	y	@	inf	(/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (*.f64 3 x) 12/29))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (*.f64 3 x) 12/29))

rewrite66.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`log-prod_binary64`
417×	`prod-diff_binary64`
269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`
257×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	336	45
2	4223	41

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y) (+.f64 (*.f64 3 x) 12/29))
(.f64 (-.f64 144/841 (.f64 9 (pow.f64 x 2))) y)
(*.f64 9 (pow.f64 x 2))
(+.f64 (*.f64 3 x) 12/29)

Outputs
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((#(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 9 (.f64 x x)) (fma.f64 x 3 -12/29)) (/.f64 144/841 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 3 12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 3 12/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 3 12/29)) (pow.f64 (cbrt.f64 (fma.f64 x 3 12/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 12/29)) 2) (cbrt.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 3 12/29)) (sqrt.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 27 (pow.f64 x 3) 1728/24389) (/.f64 1 (-.f64 (fma.f64 9 (.f64 x x) 144/841) (.f64 x 36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 9 (.f64 x x) -144/841) (/.f64 1 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 x x) -9 144/841) (-.f64 12/29 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 9 (.f64 x x) 144/841) (.f64 x 36/29)) (fma.f64 27 (pow.f64 x 3) 1728/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 3 -12/29) (fma.f64 9 (.f64 x x) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 27 (pow.f64 x 3) 1728/24389) (-.f64 (fma.f64 9 (.f64 x x) 144/841) (.f64 x 36/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 27 (pow.f64 x 3) 1728/24389) (+.f64 144/841 (-.f64 (.f64 9 (.f64 x x)) (.f64 x 36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 9 (.f64 x x) -144/841) (fma.f64 x 3 -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 27 (pow.f64 x 3) 1728/24389)) (neg.f64 (-.f64 (fma.f64 9 (.f64 x x) 144/841) (.f64 x 36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 9 (.f64 x x) -144/841)) (neg.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 expm1.f64 (log1p.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x 12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 3) 1 12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 3) 12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 3)) (pow.f64 (cbrt.f64 (.f64 x 3)) 2) 12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (cbrt.f64 (.f64 x 3)) 12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 3) 12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 (.f64 x 3)) 12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 3) 12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 81))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) 12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x) 12/29)))))

simplify136.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
641×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	276
1	40	276
2	72	258
3	149	222
4	343	222
5	1010	222
6	1350	222
7	1766	222
8	1866	222
9	1999	222
10	2171	222
11	2416	222
12	2731	222
13	3101	222
14	3555	222
15	4138	222
16	4848	222
17	5708	222
18	6132	222
19	6450	222
20	6758	222
21	6838	222
22	6872	222

Stop Event

1×	node limit

Counts

159 → 147

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

eval472.0ms (12.7%)

Compiler: Compiled 14376 to 9711 computations (32.4% saved)

prune93.0ms (2.5%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	663	3	666
Fresh	2	1	3
Picked	1	0	1
Done	3	7	10
Total	669	11	680

Error

Counts

680 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	37.0b	(.f64 3 (.f64 y x))
	0.3b	(.f64 (.f64 3 y) (+.f64 -4/29 x))
	48.5b	(.f64 -1 (/.f64 (.f64 y (.f64 x (.f64 x -9))) (+.f64 (*.f64 3 x) 12/29)))
	25.4b	(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	25.3b	(.f64 3 (.f64 -4/29 y))
✓	0.2b	(.f64 (+.f64 (.f64 3 x) -12/29) y)
✓	31.7b	(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (.f64 (.f64 (.f64 y x) (.f64 y x)) 9)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))
✓	37.1b	(.f64 (.f64 3 x) y)
✓	37.0b	(.f64 x (.f64 3 y))
✓	25.2b	(*.f64 -12/29 y)

Compiler

Compiled 115 to 84 computations (27% saved)

regimes16.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(.f64 x (.f64 3 y))
(.f64 (.f64 3 x) y)
(.f64 3 (.f64 -4/29 y))
(.f64 3 (.f64 y x))
(.f64 (+.f64 (.f64 3 x) -12/29) y)
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (.f64 3 y) (+.f64 -4/29 x))
(.f64 -144/841 (/.f64 y (+.f64 (.f64 3 x) 12/29)))
(.f64 -1 (/.f64 (.f64 y (.f64 x (.f64 x -9))) (+.f64 (*.f64 3 x) 12/29)))
(/.f64 (-.f64 (.f64 (.f64 y y) 144/841) (.f64 (.f64 (.f64 y x) (.f64 y x)) 9)) (-.f64 (.f64 y -12/29) (.f64 3 (*.f64 y x))))

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

Calls

2 calls:

7.0ms	y
6.0ms	x

Results

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

Compiler

Compiled 101 to 67 computations (33.7% saved)

regimes34.0ms (0.9%)

Accuracy

Total -59.9b remaining (-5185.6%)

Threshold costs -59.9b (-5185.6%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	y
12.0ms	x

Results

Error	Segments	Branch
1.2b	3	`x`
21.7b	5	`y`

Compiler

Compiled 31 to 21 computations (32.3% saved)

bsearch76.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	4.2936315979455756e-11	0.29473257848670564
56.0ms	-485454994.7173653	-1.2031134175590818e-7

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	24	44

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -8144583304652097/16777216) (*.f64 x (*.f64 3 y)) (if (<=.f64 x 207627283946785/4835703278458516698824704) (*.f64 -12/29 y) (*.f64 x (*.f64 3 y))))

(*.f64 -12/29 y)

Outputs

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

(if (<=.f64 x -8144583304652097/16777216) (*.f64 x (*.f64 3 y)) (if (<=.f64 x 207627283946785/4835703278458516698824704) (*.f64 -12/29 y) (*.f64 x (*.f64 3 y))))

(*.f64 -12/29 y)

end27.0ms (0.7%)

Stop Event

1×

fuel

Compiler

Compiled 70 to 50 computations (28.6% saved)

Iter	Nodes	Cost
0	19	402
1	44	402
2	112	402
3	207	402
4	264	402
5	400	402
6	651	402
7	892	402
8	989	402
9	995	402

Iter	Nodes	Cost
0	19	186
1	45	186
2	112	186
3	207	186
4	264	186
5	400	186
6	649	186
7	891	186
8	988	186
9	994	186

Iter	Nodes	Cost
0	19	297
1	44	234
2	112	234
3	207	234
4	265	234
5	401	234
6	651	234
7	892	234
8	989	234
9	995	234

Iter	Nodes	Cost
0	19	402
1	44	402
2	112	402
3	207	402
4	264	402
5	400	402
6	651	402
7	892	402
8	989	402
9	995	402

Iter	Nodes	Cost
0	19	186
1	45	186
2	112	186
3	207	186
4	264	186
5	400	186
6	649	186
7	891	186
8	988	186
9	994	186

Iter	Nodes	Cost
0	19	297
1	44	234
2	112	234
3	207	234
4	265	234
5	401	234
6	651	234
7	892	234
8	989	234
9	995	234

Iter	Nodes	Cost
0	19	402
1	44	402
2	112	402
3	207	402
4	264	402
5	400	402
6	651	402
7	892	402
8	989	402
9	995	402

Iter	Nodes	Cost
0	19	186
1	45	186
2	112	186
3	207	186
4	264	186
5	400	186
6	649	186
7	891	186
8	988	186
9	994	186

Iter	Nodes	Cost
0	19	297
1	44	234
2	112	234
3	207	234
4	265	234
5	401	234
6	651	234
7	892	234
8	989	234
9	995	234