Details

analyze86.0ms (1.5%)

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)

sample836.0ms (14.9%)

Results

811.0ms	8256×	body	256	valid
13.0ms	138×	body	256	invalid

preprocess16.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

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
▶	0.1b	(*.f64 (fma.f64 x 3 -12/29) y)
▶	0.1b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 16 116))
✓	0.0b	(*.f64 (-.f64 x (/.f64 16 116)) 3)
✓	0.1b	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

Compiler

Compiled 31 to 25 computations (19.4% saved)

series7.0ms (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	y	@	inf	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms	x	@	0	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms	x	@	inf	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
1.0ms	x	@	-inf	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

rewrite69.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

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

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

Outputs

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

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

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

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

168 → 132

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series6.0ms (0.1%)

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)
1.0ms	y	@	inf	(*.f64 (fma.f64 x 3 -12/29) y)
0.0ms	y	@	-inf	(*.f64 (fma.f64 x 3 -12/29) y)

rewrite54.0ms (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 expm1.f64 (log1p.f64 (.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 x 3 -12/29) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 3) 1) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 3 -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 3 -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 3 -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 3 -12/29)) (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (cbrt.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 3) 3) -1728/24389) (+.f64 (.f64 (.f64 x 3) (.f64 x 3)) (-.f64 144/841 (.f64 (.f64 x 3) -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x 3) (.f64 x 3)) 144/841) (-.f64 (*.f64 x 3) -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 -12/29)))))))

Outputs

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

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

simplify15.0ms (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)

eval48.0ms (0.9%)

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

prune32.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	167	9	176
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	168	10	178

Error

0.0b

Counts

178 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.4b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
	37.5b	(.f64 3 (.f64 y x))
	20.5b	(/.f64 (.f64 (+.f64 (pow.f64 x 3) -64/24389) (.f64 3 y)) (fma.f64 x x (fma.f64 x 4/29 16/841)))
✓	0.1b	(*.f64 (fma.f64 x 3 -12/29) y)
▶	0.1b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
▶	32.3b	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
▶	25.9b	(*.f64 -12/29 y)
	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
	25.6b	(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
▶	37.5b	(.f64 (.f64 x 3) y)

Compiler

Compiled 190 to 144 computations (24.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

series4.0ms (0.1%)

Counts

2 → 15

Calls

9 calls:

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

rewrite61.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

66 → 58

Calls

Call 1

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

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

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite43.0ms (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 (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 (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 (+.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 (pow.f64 (*.f64 -12/29 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) -1728/24389) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (sqrt.f64 (log.f64 (*.f64 -12/29 y)))) (sqrt.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 sqrt.f64 (pow.f64 (*.f64 -12/29 y) 2))))) (#(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 (*.f64 (pow.f64 y 3) -1728/24389))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -12/29 y)))))) (#(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 (*.f64 3 (log.f64 (*.f64 -12/29 y))) 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))))))

simplify7.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`pow1_binary64`
510×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
500×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1391	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

35 → 12

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x x -16/841)
✓	4.9b	(.f64 (fma.f64 x x -16/841) (.f64 3 y))
✓	9.9b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))

Compiler

Compiled 37 to 24 computations (35.1% saved)

series16.0ms (0.3%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(.f64 (fma.f64 x x -16/841) (.f64 3 y))
2.0ms	x	@	0	(.f64 (fma.f64 x x -16/841) (.f64 3 y))
1.0ms	y	@	0	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
1.0ms	x	@	0	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
1.0ms	x	@	inf	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))

rewrite81.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	241	26
2	3165	26

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

Outputs

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

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

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

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	735
1	53	693
2	112	621
3	256	603
4	556	603
5	1536	603
6	2915	603
7	5231	603

Stop Event

1×	node limit

Counts

175 → 134

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 x 3 -12/29)
✓	0.1b	(sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))
	0.1b	(*.f64 (fma.f64 x 3 -12/29) y)
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)

Compiler

Compiled 33 to 24 computations (27.3% saved)

series16.0ms (0.3%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
3.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
2.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
2.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)

rewrite71.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`pow1_binary64`
716×	`add-log-exp_binary64`
715×	`log1p-expm1-u_binary64`
715×	`expm1-log1p-u_binary64`
702×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	207	18
2	1994	18

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
(sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y))

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

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

simplify49.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1121×	`fma-def_binary64`
829×	`times-frac_binary64`
710×	`associate-l_binary64`
628×	`associate-*l/_binary64`
622×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	191
1	152	171
2	457	157
3	2074	127

Stop Event

1×	node limit

Counts

62 → 68

Calls

Call 1

Inputs
(*.f64 y (pow.f64 (sqrt.f64 -12/29) 2))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 y (pow.f64 (sqrt.f64 -12/29) 2)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 y (pow.f64 (sqrt.f64 -12/29) 2)) (.f64 (+.f64 (.f64 9/4 (/.f64 y (pow.f64 (sqrt.f64 -12/29) 2))) (.f64 -9/4 (/.f64 y (pow.f64 (sqrt.f64 -12/29) 2)))) (pow.f64 x 2))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 y (pow.f64 (sqrt.f64 -12/29) 2)) (+.f64 (.f64 (+.f64 (.f64 9/4 (/.f64 y (pow.f64 (sqrt.f64 -12/29) 2))) (.f64 -9/4 (/.f64 y (pow.f64 (sqrt.f64 -12/29) 2)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -27/8 (/.f64 y (pow.f64 (sqrt.f64 -12/29) 4))) (*.f64 27/8 (/.f64 y (pow.f64 (sqrt.f64 -12/29) 4)))) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 y) (sqrt.f64 -12/29))
(+.f64 (.f64 (sqrt.f64 y) (sqrt.f64 -12/29)) (.f64 3/2 (*.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 -12/29)))))
(+.f64 (.f64 -9/8 (.f64 (sqrt.f64 y) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -12/29) 3)))) (+.f64 (.f64 (sqrt.f64 y) (sqrt.f64 -12/29)) (.f64 3/2 (*.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 -12/29))))))
(+.f64 (.f64 27/16 (.f64 (sqrt.f64 y) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -12/29) 5)))) (+.f64 (.f64 -9/8 (.f64 (sqrt.f64 y) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -12/29) 3)))) (+.f64 (.f64 (sqrt.f64 y) (sqrt.f64 -12/29)) (.f64 3/2 (*.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 -12/29)))))))

Outputs
(*.f64 y (pow.f64 (sqrt.f64 -12/29) 2))
(*.f64 y -12/29)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 y (pow.f64 (sqrt.f64 -12/29) 2)))
(fma.f64 3 (.f64 y x) (.f64 y (pow.f64 (sqrt.f64 -12/29) 2)))
(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (.f64 3 x) -12/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 y (pow.f64 (sqrt.f64 -12/29) 2)) (.f64 (+.f64 (.f64 9/4 (/.f64 y (pow.f64 (sqrt.f64 -12/29) 2))) (.f64 -9/4 (/.f64 y (pow.f64 (sqrt.f64 -12/29) 2)))) (pow.f64 x 2))))
(fma.f64 3 (.f64 y x) (.f64 y (pow.f64 (sqrt.f64 -12/29) 2)))
(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (.f64 3 x) -12/29))
(*.f64 y (fma.f64 3 x -12/29))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 y (pow.f64 (sqrt.f64 -12/29) 2)) (+.f64 (.f64 (+.f64 (.f64 9/4 (/.f64 y (pow.f64 (sqrt.f64 -12/29) 2))) (.f64 -9/4 (/.f64 y (pow.f64 (sqrt.f64 -12/29) 2)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -27/8 (/.f64 y (pow.f64 (sqrt.f64 -12/29) 4))) (*.f64 27/8 (/.f64 y (pow.f64 (sqrt.f64 -12/29) 4)))) (pow.f64 x 3)))))
(fma.f64 3 (.f64 y x) (.f64 y (pow.f64 (sqrt.f64 -12/29) 2)))
(fma.f64 y -12/29 (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (.f64 3 x) -12/29))
(*.f64 y (fma.f64 3 x -12/29))
(*.f64 (sqrt.f64 y) (sqrt.f64 -12/29))
(*.f64 (sqrt.f64 -12/29) (sqrt.f64 y))
(+.f64 (.f64 (sqrt.f64 y) (sqrt.f64 -12/29)) (.f64 3/2 (*.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 -12/29)))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 -12/29) (.f64 3/2 (.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 -12/29)))))
(fma.f64 (sqrt.f64 -12/29) (sqrt.f64 y) (.f64 (/.f64 x (sqrt.f64 -12/29)) (.f64 (sqrt.f64 y) 3/2)))
(.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 -12/29) (/.f64 (.f64 x 3/2) (sqrt.f64 -12/29))))
(*.f64 (sqrt.f64 y) (fma.f64 3/2 (/.f64 x (sqrt.f64 -12/29)) (sqrt.f64 -12/29)))
(+.f64 (.f64 -9/8 (.f64 (sqrt.f64 y) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -12/29) 3)))) (+.f64 (.f64 (sqrt.f64 y) (sqrt.f64 -12/29)) (.f64 3/2 (*.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 -12/29))))))
(fma.f64 -9/8 (.f64 (sqrt.f64 y) (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 -12/29) 3))) (fma.f64 (sqrt.f64 y) (sqrt.f64 -12/29) (.f64 3/2 (.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 -12/29))))))
(fma.f64 -9/8 (.f64 (/.f64 (sqrt.f64 y) -12/29) (/.f64 (.f64 x x) (sqrt.f64 -12/29))) (fma.f64 (sqrt.f64 -12/29) (sqrt.f64 y) (.f64 (/.f64 x (sqrt.f64 -12/29)) (.f64 (sqrt.f64 y) 3/2))))
(+.f64 (.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 -12/29) (/.f64 (.f64 x 3/2) (sqrt.f64 -12/29)))) (.f64 (/.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 -12/29) (.f64 x x))) 87/32))
(.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 -12/29) (.f64 (/.f64 x (sqrt.f64 -12/29)) (+.f64 3/2 (*.f64 (/.f64 x -12/29) -9/8)))))
(+.f64 (.f64 27/16 (.f64 (sqrt.f64 y) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -12/29) 5)))) (+.f64 (.f64 -9/8 (.f64 (sqrt.f64 y) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -12/29) 3)))) (+.f64 (.f64 (sqrt.f64 y) (sqrt.f64 -12/29)) (.f64 3/2 (*.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 -12/29)))))))
(fma.f64 27/16 (.f64 (sqrt.f64 y) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -12/29) 5))) (fma.f64 -9/8 (.f64 (sqrt.f64 y) (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 -12/29) 3))) (fma.f64 (sqrt.f64 y) (sqrt.f64 -12/29) (.f64 3/2 (*.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 -12/29)))))))
(fma.f64 27/16 (.f64 (sqrt.f64 y) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -12/29) 5))) (fma.f64 -9/8 (.f64 (/.f64 (sqrt.f64 y) -12/29) (/.f64 (.f64 x x) (sqrt.f64 -12/29))) (fma.f64 (sqrt.f64 -12/29) (sqrt.f64 y) (.f64 (/.f64 x (sqrt.f64 -12/29)) (*.f64 (sqrt.f64 y) 3/2)))))
(+.f64 (.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 -12/29) (/.f64 (.f64 x 3/2) (sqrt.f64 -12/29)))) (fma.f64 (sqrt.f64 y) (.f64 27/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -12/29) 5))) (.f64 (/.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 -12/29) (*.f64 x x))) 87/32)))
(.f64 (sqrt.f64 y) (+.f64 (fma.f64 3/2 (/.f64 x (sqrt.f64 -12/29)) (sqrt.f64 -12/29)) (fma.f64 27/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -12/29) 5)) (.f64 (/.f64 (*.f64 x x) (sqrt.f64 -12/29)) 87/32))))

eval189.0ms (3.4%)

Compiler: Compiled 4493 to 3394 computations (24.5% saved)

prune58.0ms (1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	333	8	341
Fresh	3	1	4
Picked	1	0	1
Done	2	3	5
Total	339	12	351

Error

Counts

351 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
▶	0.4b	(pow.f64 (/.f64 1 (.f64 (+.f64 x -4/29) (.f64 3 y))) -1)
▶	15.5b	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
✓	25.9b	(*.f64 -12/29 y)
▶	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
▶	25.7b	(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
	14.8b	(.f64 (fma.f64 x x -16/841) (/.f64 1 (.f64 1/3 (/.f64 (+.f64 x 4/29) y))))
	12.8b	(.f64 (/.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (*.f64 x x)) -144/841))) y)
	0.3b	(.f64 (+.f64 x -4/29) (.f64 3 y))
▶	37.5b	(.f64 3 (.f64 y x))
	52.8b	(/.f64 (.f64 (.f64 x x) (*.f64 3 y)) (+.f64 x 4/29))
✓	37.5b	(.f64 (.f64 x 3) y)

Compiler

Compiled 241 to 184 computations (23.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

series4.0ms (0.1%)

Counts

3 → 27

Calls

15 calls:

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

rewrite196.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	174	21
2	2114	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 (*.f64 3 y)) (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))))))))

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

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

simplify17.0ms (0.3%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite54.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite106.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 129

Calls

Call 1

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

Outputs

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

simplify192.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

165 → 147

Calls

Call 1

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

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

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x -4/29)
✓	0.3b	(/.f64 1 (.f64 (+.f64 x -4/29) (.f64 3 y)))
✓	0.3b	(pow.f64 (/.f64 1 (.f64 (+.f64 x -4/29) (.f64 3 y))) -1)
✓	0.3b	(.f64 (+.f64 x -4/29) (.f64 3 y))

Compiler

Compiled 41 to 31 computations (24.4% saved)

series11.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

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

rewrite95.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`log-prod_binary64`
374×	`exp-prod_binary64`
298×	`pow-prod-down_binary64`
281×	`pow2_binary64`
193×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	254	37
2	3037	37

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

Inputs
(.f64 (+.f64 x -4/29) (.f64 3 y))
(pow.f64 (/.f64 1 (.f64 (+.f64 x -4/29) (.f64 3 y))) -1)
(/.f64 1 (.f64 (+.f64 x -4/29) (.f64 3 y)))
(+.f64 x -4/29)

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

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

552×	`cancel-sign-sub-inv_binary64`
476×	`fma-def_binary64`
355×	`distribute-rgt-out_binary64`
349×	`associate-/r*_binary64`
280×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	930
1	346	924
2	1268	882
3	4190	858

Stop Event

1×	node limit

Counts

299 → 204

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (.f64 -1 (.f64 (+.f64 (.f64 87/4 y) (*.f64 -87/4 y)) (pow.f64 x 2)))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -29/4 (+.f64 (.f64 87/4 y) (.f64 -87/4 y))) (+.f64 (.f64 2523/16 y) (.f64 -2523/16 y))) (pow.f64 x 3))) (+.f64 (.f64 -12/29 y) (.f64 -1 (.f64 (+.f64 (.f64 87/4 y) (.f64 -87/4 y)) (pow.f64 x 2))))))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (.f64 -12/29 y)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 48/841 y) (.f64 -48/841 y)) x)) (+.f64 (.f64 -12/29 y) (.f64 -1 (/.f64 (+.f64 (.f64 192/24389 y) (+.f64 (.f64 -4/29 (+.f64 (.f64 48/841 y) (.f64 -48/841 y))) (.f64 -192/24389 y))) (pow.f64 x 2))))))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (+.f64 (.f64 48/841 (/.f64 y x)) (*.f64 -48/841 (/.f64 y x)))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -12/29 y) (+.f64 (.f64 -48/841 (/.f64 y x)) (+.f64 (.f64 48/841 (/.f64 y x)) (.f64 -1 (/.f64 (+.f64 (.f64 4/29 (+.f64 (.f64 48/841 y) (.f64 -48/841 y))) (+.f64 (.f64 192/24389 y) (*.f64 -192/24389 y))) (pow.f64 x 2)))))))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (-.f64 x 4/29)))
(/.f64 -29/12 y)
(-.f64 (.f64 -841/48 (/.f64 x y)) (.f64 29/12 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -24389/192 (/.f64 (pow.f64 x 2) y)) (.f64 -841/48 (/.f64 x y))) (*.f64 29/12 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -707281/768 (/.f64 (pow.f64 x 3) y)) (+.f64 (.f64 -24389/192 (/.f64 (pow.f64 x 2) y)) (.f64 -841/48 (/.f64 x y)))) (.f64 29/12 (/.f64 1 y)))
(/.f64 1/3 (*.f64 y x))
(+.f64 (.f64 1/3 (/.f64 1 (.f64 y x))) (.f64 4/87 (/.f64 1 (.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (/.f64 1 (.f64 y x))) (+.f64 (.f64 16/2523 (/.f64 1 (.f64 y (pow.f64 x 3)))) (.f64 4/87 (/.f64 1 (.f64 y (pow.f64 x 2))))))
(+.f64 (.f64 64/73167 (/.f64 1 (.f64 y (pow.f64 x 4)))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 y x))) (+.f64 (.f64 16/2523 (/.f64 1 (.f64 y (pow.f64 x 3)))) (.f64 4/87 (/.f64 1 (.f64 y (pow.f64 x 2)))))))
(/.f64 1/3 (*.f64 y x))
(+.f64 (.f64 1/3 (/.f64 1 (.f64 y x))) (.f64 4/87 (/.f64 1 (.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (/.f64 1 (.f64 y x))) (+.f64 (.f64 16/2523 (/.f64 1 (.f64 y (pow.f64 x 3)))) (.f64 4/87 (/.f64 1 (.f64 y (pow.f64 x 2))))))
(+.f64 (.f64 64/73167 (/.f64 1 (.f64 y (pow.f64 x 4)))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 y x))) (+.f64 (.f64 16/2523 (/.f64 1 (.f64 y (pow.f64 x 3)))) (.f64 4/87 (/.f64 1 (.f64 y (pow.f64 x 2)))))))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 1/3 (*.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))
(fma.f64 -12/29 y (.f64 3 (.f64 y x)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 3 (.f64 y x)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 3 (.f64 y x)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 3 (.f64 y x)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 3 (.f64 y x)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 3 (.f64 y x)))
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(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
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(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
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(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
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(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
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(-.f64 (+.f64 (.f64 -24389/192 (/.f64 (pow.f64 x 2) y)) (.f64 -841/48 (/.f64 x y))) (*.f64 29/12 (/.f64 1 y)))
(-.f64 (fma.f64 -24389/192 (/.f64 (.f64 x x) y) (.f64 -841/48 (/.f64 x y))) (/.f64 29/12 y))
(fma.f64 -24389/192 (/.f64 (*.f64 x x) y) (fma.f64 -841/48 (/.f64 x y) (/.f64 -29/12 y)))
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(fma.f64 -841/48 (/.f64 x y) (fma.f64 (/.f64 -24389/192 y) (*.f64 x x) (/.f64 -29/12 y)))
(-.f64 (+.f64 (.f64 -707281/768 (/.f64 (pow.f64 x 3) y)) (+.f64 (.f64 -24389/192 (/.f64 (pow.f64 x 2) y)) (.f64 -841/48 (/.f64 x y)))) (.f64 29/12 (/.f64 1 y)))
(-.f64 (fma.f64 -707281/768 (/.f64 (pow.f64 x 3) y) (fma.f64 -24389/192 (/.f64 (.f64 x x) y) (.f64 -841/48 (/.f64 x y)))) (/.f64 29/12 y))
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(fma.f64 -707281/768 (/.f64 (pow.f64 x 3) y) (fma.f64 -841/48 (/.f64 x y) (fma.f64 -24389/192 (*.f64 (/.f64 x y) x) (/.f64 -29/12 y))))
(fma.f64 -707281/768 (/.f64 (pow.f64 x 3) y) (fma.f64 -841/48 (/.f64 x y) (fma.f64 (/.f64 -24389/192 y) (*.f64 x x) (/.f64 -29/12 y))))
(/.f64 1/3 (*.f64 y x))
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(+.f64 (.f64 1/3 (/.f64 1 (.f64 y x))) (.f64 4/87 (/.f64 1 (.f64 y (pow.f64 x 2)))))
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(/.f64 1/3 (*.f64 y x))
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(.f64 (/.f64 1 (.f64 y x)) (+.f64 1/3 (/.f64 4/87 x)))
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(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 (/.f64 1/3 y) (+.f64 x -4/29))
(/.f64 1/3 (*.f64 y (+.f64 x -4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 (/.f64 1/3 y) (+.f64 x -4/29))
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(/.f64 (/.f64 1/3 y) (+.f64 x -4/29))
(/.f64 1/3 (*.f64 y (+.f64 x -4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 (/.f64 1/3 y) (+.f64 x -4/29))
(/.f64 1/3 (*.f64 y (+.f64 x -4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 (/.f64 1/3 y) (+.f64 x -4/29))
(/.f64 1/3 (*.f64 y (+.f64 x -4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 (/.f64 1/3 y) (+.f64 x -4/29))
(/.f64 1/3 (*.f64 y (+.f64 x -4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 (/.f64 1/3 y) (+.f64 x -4/29))
(/.f64 1/3 (*.f64 y (+.f64 x -4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 (/.f64 1/3 y) (+.f64 x -4/29))
(/.f64 1/3 (*.f64 y (+.f64 x -4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 (/.f64 1/3 y) (+.f64 x -4/29))
(/.f64 1/3 (*.f64 y (+.f64 x -4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 (/.f64 1/3 y) (+.f64 x -4/29))
(/.f64 1/3 (*.f64 y (+.f64 x -4/29)))
(/.f64 1/3 (*.f64 y (-.f64 x 4/29)))
(/.f64 (/.f64 1/3 y) (+.f64 x -4/29))
(/.f64 1/3 (*.f64 y (+.f64 x -4/29)))
-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)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 3 x 12/29)
✓	0.1b	(.f64 9 (.f64 x x))
✓	4.6b	(.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y)
✓	10.1b	(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))

Compiler

Compiled 50 to 30 computations (40% saved)

series12.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

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

rewrite143.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`log-prod_binary64`
342×	`pow2_binary64`
238×	`pow1/3_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	282	41
2	3526	41

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 9 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 81 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 9 (.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 729 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 9 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 729 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 9)) 1))))))
((#(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 0 (fma.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 3 12/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 3 12/29)))))))) (#(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 (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)) (cbrt.f64 (pow.f64 (fma.f64 x 3 12/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.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 9 (.f64 x x) -144/841) (fma.f64 x 3 -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 3) 3) 1728/24389) (fma.f64 9 (.f64 x x) (-.f64 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) 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 sqrt.f64 (pow.f64 (fma.f64 x 3 12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 3 12/29)) 1))))))

simplify124.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
587×	`distribute-neg-frac_binary64`
477×	`associate-*l/_binary64`
477×	`associate-/l*_binary64`
411×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	789
1	54	726
2	96	717
3	178	699
4	449	699
5	1506	699
6	3115	699
7	4284	699
8	6817	699

Stop Event

1×	node limit

Counts

198 → 146

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

eval341.0ms (6.1%)

Compiler: Compiled 8838 to 6744 computations (23.7% saved)

prune100.0ms (1.8%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	580	4	584
Fresh	3	1	4
Picked	1	0	1
Done	2	5	7
Total	586	10	596

Error

Counts

596 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	53.5b	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))
✓	0.1b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
▶	25.7b	(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
▶	0.3b	(.f64 (+.f64 x -4/29) (.f64 3 y))
▶	26.1b	(.f64 3 (.f64 y -4/29))
✓	25.9b	(*.f64 -12/29 y)
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
✓	37.5b	(.f64 3 (.f64 y x))
▶	52.8b	(/.f64 (.f64 (.f64 x x) (*.f64 3 y)) (+.f64 x 4/29))
✓	37.5b	(.f64 (.f64 x 3) y)

Compiler

Compiled 143 to 108 computations (24.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series10.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	(*.f64 y -4/29)
1.0ms	y	@	inf	(*.f64 y -4/29)
0.0ms	y	@	-inf	(*.f64 y -4/29)
0.0ms	y	@	0	(.f64 3 (.f64 y -4/29))
0.0ms	y	@	inf	(.f64 3 (.f64 y -4/29))

rewrite66.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	96
1	8	96

Stop Event

1×

saturated

Counts

46 → 25

Calls

Call 1

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

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

localize20.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 4/29 x) y)
✓	0.4b	(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series10.0ms (0.2%)

Counts

2 → 36

Calls

12 calls:

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

rewrite90.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`unpow-prod-down_binary64`
424×	`log-prod_binary64`
333×	`exp-prod_binary64`
239×	`pow2_binary64`
224×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	186	17
2	2512	17

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 4/29 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 4/29 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 4/29 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 4/29 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 -48/841 (+.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))) (cbrt.f64 (*.f64 2304/707281 (pow.f64 (/.f64 (+.f64 4/29 x) y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2304/707281 (pow.f64 (/.f64 (+.f64 4/29 x) y) -2))) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))) (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 48/841 (/.f64 1 (/.f64 (+.f64 (neg.f64 x) -4/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 48/841 (pow.f64 (/.f64 1 (/.f64 (+.f64 (neg.f64 x) -4/29) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 4/29 x)) -48/841)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -48/841 (+.f64 4/29 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -48/841 (+.f64 (neg.f64 x) -4/29)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -48/841 (+.f64 4/29 x)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -48/841 (+.f64 4/29 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -48/841 (+.f64 4/29 x)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -48/841 (+.f64 (neg.f64 x) -4/29)) 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 -48/841 (+.f64 4/29 x)) 1) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 4/29 x)) 3))) 1/3) (pow.f64 (sqrt.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 4/29 x)) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 2304/707281 (pow.f64 (/.f64 (+.f64 4/29 x) y) -2)) -48/841) 1/3) (cbrt.f64 (/.f64 y (+.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 2304/707281 (pow.f64 (/.f64 (+.f64 4/29 x) y) -2)) (/.f64 -48/841 (+.f64 4/29 x))) 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -48/841) 3) (/.f64 y (+.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 2) 3) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -48/841) 2) (/.f64 y (+.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 4/29 x) y) -841/48)) 2) -1) (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2304/707281 (pow.f64 (/.f64 (+.f64 4/29 x) y) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 4/29 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 4/29 x) y) -841/48) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 4/29 x) y) -841/48) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))) (sqrt.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2304/707281 (pow.f64 (/.f64 (+.f64 4/29 x) y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -48/841) (/.f64 y (+.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -110592/594823321 (pow.f64 (/.f64 y (+.f64 4/29 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 4/29 x) y) -841/48)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))) 1) 1))))))

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

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

769×	`distribute-lft-out_binary64`
714×	`fma-def_binary64`
672×	`associate-/l*_binary64`
535×	`associate-/l/_binary64`
494×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	465
1	122	465
2	299	438
3	893	415
4	3384	414
5	7693	414

Stop Event

1×	node limit

Counts

170 → 154

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 -87/4 (.f64 y (pow.f64 x 2))) (*.f64 -12/29 y)))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 -87/4 (.f64 y (pow.f64 x 2))) (*.f64 -12/29 y))))
(*.f64 -48/841 (/.f64 y x))
(+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))
(*.f64 -48/841 (/.f64 y x))
(+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(/.f64 4/29 y)
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))

Outputs
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 y x) (.f64 -12/29 y))
(fma.f64 -12/29 y (.f64 x (.f64 y 3)))
(.f64 y (+.f64 (.f64 3 x) -12/29))
(*.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 -12/29 y)))
(fma.f64 3 (.f64 y x) (fma.f64 -12/29 y (.f64 (.f64 x x) (.f64 y -87/4))))
(fma.f64 (.f64 -87/4 (.f64 y x)) x (.f64 y (+.f64 (.f64 3 x) -12/29)))
(.f64 y (+.f64 (.f64 x (+.f64 (*.f64 x -87/4) 3)) -12/29))
(.f64 y (+.f64 -12/29 (.f64 x (+.f64 3 (*.f64 x -87/4)))))
(+.f64 (.f64 3 (.f64 y x)) (+.f64 (.f64 2523/16 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 -87/4 (.f64 y (pow.f64 x 2))) (*.f64 -12/29 y))))
(fma.f64 3 (.f64 y x) (fma.f64 2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 -87/4 (.f64 y (.f64 x x)) (*.f64 -12/29 y))))
(fma.f64 3 (.f64 y x) (fma.f64 2523/16 (.f64 y (pow.f64 x 3)) (fma.f64 -12/29 y (.f64 (.f64 x x) (*.f64 y -87/4)))))
(fma.f64 y (.f64 2523/16 (pow.f64 x 3)) (fma.f64 (.f64 -87/4 (.f64 y x)) x (.f64 y (+.f64 (*.f64 3 x) -12/29))))
(.f64 y (+.f64 (fma.f64 3 x -12/29) (.f64 (.f64 x x) (+.f64 -87/4 (.f64 x 2523/16)))))
(.f64 y (+.f64 -12/29 (.f64 x (+.f64 3 (.f64 x (+.f64 -87/4 (.f64 x 2523/16)))))))
(*.f64 -48/841 (/.f64 y x))
(*.f64 y (/.f64 -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 (/.f64 192/24389 x) (/.f64 y x)))
(*.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (*.f64 (/.f64 192/24389 x) (/.f64 y x))))
(fma.f64 -48/841 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 -768/707281 x) 192/24389)))
(.f64 (/.f64 y x) (+.f64 -48/841 (+.f64 (/.f64 192/24389 x) (/.f64 -768/707281 (.f64 x x)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (*.f64 (/.f64 192/24389 x) (/.f64 y x)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)))))
(fma.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -768/707281 (/.f64 3072/20511149 x))))
(*.f64 -48/841 (/.f64 y x))
(*.f64 y (/.f64 -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 (/.f64 192/24389 x) (/.f64 y x)))
(*.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)))
(+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (*.f64 192/24389 (/.f64 y (pow.f64 x 2)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (*.f64 (/.f64 192/24389 x) (/.f64 y x))))
(fma.f64 -48/841 (/.f64 y x) (.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 -768/707281 x) 192/24389)))
(.f64 (/.f64 y x) (+.f64 -48/841 (+.f64 (/.f64 192/24389 x) (/.f64 -768/707281 (.f64 x x)))))
(+.f64 (.f64 3072/20511149 (/.f64 y (pow.f64 x 4))) (+.f64 (.f64 -768/707281 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -48/841 (/.f64 y x)) (.f64 192/24389 (/.f64 y (pow.f64 x 2))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (.f64 192/24389 (/.f64 y (.f64 x x))))))
(fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 -48/841 (/.f64 y x) (*.f64 (/.f64 192/24389 x) (/.f64 y x)))))
(fma.f64 -768/707281 (/.f64 y (pow.f64 x 3)) (fma.f64 3072/20511149 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)))))
(fma.f64 (/.f64 y x) (+.f64 -48/841 (/.f64 192/24389 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -768/707281 (/.f64 3072/20511149 x))))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(*.f64 -48/841 (/.f64 y (+.f64 4/29 x)))
(*.f64 -48/841 (/.f64 y (+.f64 x 4/29)))
(*.f64 y (/.f64 -48/841 (+.f64 x 4/29)))
(/.f64 4/29 y)
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))
(+.f64 (*.f64 4/29 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4/29 y) (/.f64 x y))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	9.6b	(.f64 (.f64 x x) (*.f64 3 y))
✓	9.8b	(/.f64 (.f64 (.f64 x x) (*.f64 3 y)) (+.f64 x 4/29))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite74.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

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

simplify94.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

133 → 105

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 9 (.f64 x x)) -144/841)
	0.1b	(.f64 9 (.f64 x x))
	4.6b	(.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y)
✓	10.1b	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))

Compiler

Compiled 47 to 27 computations (42.6% saved)

series28.0ms (0.5%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	y	@	inf	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))
1.0ms	y	@	0	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))
1.0ms	x	@	0	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))
1.0ms	x	@	inf	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))
1.0ms	y	@	-inf	(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))

rewrite76.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`log-prod_binary64`
325×	`pow2_binary64`
246×	`prod-diff_binary64`
245×	`pow-unpow_binary64`
224×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	265	25
2	3578	25

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))
(+.f64 (.f64 9 (.f64 x x)) -144/841)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 9 x) -144/841))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 81 (pow.f64 x 4)) (fma.f64 x (*.f64 9 x) 144/841)) (/.f64 20736/707281 (fma.f64 x (*.f64 9 x) 144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 9 x) -144/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 9 x) -144/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 9 x) -144/841)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 9 x) -144/841)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 9 x) -144/841)) 2) (cbrt.f64 (fma.f64 x (*.f64 9 x) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 9 x) -144/841)) (sqrt.f64 (fma.f64 x (*.f64 9 x) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 729 (pow.f64 (*.f64 x x) 3) -2985984/594823321) (/.f64 1 (-.f64 (fma.f64 81 (pow.f64 x 4) 20736/707281) (*.f64 (*.f64 x x) -1296/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 81 (pow.f64 x 4) -20736/707281) (/.f64 1 (fma.f64 x (*.f64 9 x) 144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 81 (pow.f64 x 4) 20736/707281) (*.f64 (*.f64 x x) -1296/841)) (fma.f64 729 (pow.f64 (*.f64 x x) 3) -2985984/594823321)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (*.f64 9 x) 144/841) (fma.f64 81 (pow.f64 x 4) -20736/707281)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 729 (pow.f64 (*.f64 x x) 3) -2985984/594823321) (-.f64 (fma.f64 81 (pow.f64 x 4) 20736/707281) (*.f64 (*.f64 x x) -1296/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 729 (pow.f64 (*.f64 x x) 3) -2985984/594823321) (+.f64 20736/707281 (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1296/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 81 (pow.f64 x 4) -20736/707281) (fma.f64 x (*.f64 9 x) 144/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 729 (pow.f64 (*.f64 x x) 3) -2985984/594823321)) (neg.f64 (-.f64 (fma.f64 81 (pow.f64 x 4) 20736/707281) (*.f64 (*.f64 x x) -1296/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 81 (pow.f64 x 4) -20736/707281)) (neg.f64 (fma.f64 x (*.f64 9 x) 144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 20736/707281 (*.f64 81 (pow.f64 x 4))) (-.f64 -144/841 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 9 x) -144/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 9 x) -144/841) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 9 x) -144/841) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 9 x) -144/841)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 9 x) -144/841)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 81 (pow.f64 x 4) 20736/707281) (*.f64 (*.f64 x x) -1296/841)) (fma.f64 729 (pow.f64 (*.f64 x x) 3) -2985984/594823321)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (*.f64 9 x) 144/841) (fma.f64 81 (pow.f64 x 4) -20736/707281)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 9 x) -144/841) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 9 x) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 9 x) -144/841))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 9 x) -144/841) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 9 x) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 9 x) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 9 x) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 9 x) -144/841)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 x x) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 9 x) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 3 (*.f64 x 3)) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9 -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (*.f64 x x)) 1 -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x (*.f64 x 3)) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3) (*.f64 x 3) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9 (*.f64 x x)) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9 (*.f64 x x))) (cbrt.f64 (*.f64 81 (pow.f64 x 4))) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x 3)) (*.f64 x 3)) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4))) (cbrt.f64 (*.f64 9 (*.f64 x x))) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 9) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 x 3)) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 x) x -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (*.f64 x 3)) 3) (sqrt.f64 (*.f64 x 3)) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 3) x) 3 -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 9 x) 1) x -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 9 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 9 x) (sqrt.f64 x)) (sqrt.f64 x) -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 3) 3) x -144/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 3) (cbrt.f64 (*.f64 9 (*.f64 x x)))) (cbrt.f64 (*.f64 x 3)) -144/841)))))

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

775×	`associate-/l/_binary64`
649×	`associate-l_binary64`
539×	`fma-def_binary64`
478×	`associate-r_binary64`
466×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	402
1	45	402
2	92	402
3	258	381
4	856	339
5	4025	339
6	6579	339

Stop Event

1×	node limit

Counts

150 → 126

Calls

Call 1

Inputs
(*.f64 -48/841 (/.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
-144/841
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(*.f64 9 (pow.f64 x 2))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(*.f64 9 (pow.f64 x 2))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)

Outputs
(*.f64 -48/841 (/.f64 y x))
(/.f64 (*.f64 -48/841 y) x)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 x (.f64 y 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 x (.f64 y 3))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -48/841 (/.f64 y x)))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
(.f64 1/3 (/.f64 (.f64 y (-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)) x))
(fma.f64 3 (.f64 y x) (.f64 -48/841 (/.f64 y x)))
(fma.f64 -48/841 (/.f64 y x) (.f64 y (.f64 x 3)))
(.f64 y (+.f64 (/.f64 -48/841 x) (.f64 x 3)))
(*.f64 y (fma.f64 x 3 (/.f64 -48/841 x)))
-144/841
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)
(-.f64 (*.f64 9 (pow.f64 x 2)) 144/841)
(fma.f64 9 (*.f64 x x) -144/841)
(fma.f64 x (*.f64 x 9) -144/841)

eval297.0ms (5.3%)

Compiler: Compiled 8441 to 6129 computations (27.4% saved)

prune100.0ms (1.8%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	579	4	583
Fresh	0	0	0
Picked	1	0	1
Done	3	6	9
Total	583	10	593

Error

Counts

593 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.1b	(.f64 3 (.f64 y -4/29))
	0.4b	(/.f64 (+.f64 x -4/29) (/.f64 1 (*.f64 3 y)))
	52.8b	(/.f64 (.f64 (.f64 x (.f64 x 9)) y) (.f64 3 x))
✓	37.5b	(.f64 (.f64 x 3) y)
✓	0.1b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	25.9b	(*.f64 -12/29 y)
✓	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
	26.1b	(/.f64 -48/841 (/.f64 4/29 y))
	37.6b	(.f64 (.f64 3 y) x)
✓	37.5b	(.f64 3 (.f64 y x))

Compiler

Compiled 82 to 63 computations (23.2% saved)

regimes211.0ms (3.8%)

Counts

27 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(/.f64 -48/841 (/.f64 4/29 y))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 (.f64 x 3) y)
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(.f64 (+.f64 x -4/29) (.f64 3 y))
(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
(.f64 (+.f64 x -4/29) (.f64 3 y))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 3 (.f64 y (-.f64 x 4/29)))
(/.f64 (+.f64 x -4/29) (/.f64 1 (*.f64 3 y)))
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(/.f64 (.f64 (.f64 x (.f64 x 9)) y) (.f64 3 x))
(/.f64 (.f64 (.f64 x x) (*.f64 3 y)) (+.f64 x 4/29))
(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))
(*.f64 (fma.f64 x 3 -12/29) y)
(pow.f64 (/.f64 1 (.f64 (+.f64 x -4/29) (.f64 3 y))) -1)
(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))
(.f64 (fma.f64 x x -16/841) (/.f64 1 (.f64 1/3 (/.f64 (+.f64 x 4/29) y))))
(.f64 (/.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (.f64 9 (*.f64 x x)) -144/841))) y)
(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -64/24389) (.f64 3 y)) (fma.f64 x x (fma.f64 x 4/29 16/841)))

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

Calls

7 calls:

75.0ms	y
63.0ms	(*.f64 (-.f64 x (/.f64 16 116)) 3)
18.0ms	x
17.0ms	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
12.0ms	(-.f64 x (/.f64 16 116))

Results

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

Compiler

Compiled 286 to 206 computations (28% saved)

regimes70.0ms (1.2%)

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 -12/29 y)
(/.f64 -48/841 (/.f64 4/29 y))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y -4/29))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 (.f64 x 3) y)
(/.f64 -48/841 (/.f64 (+.f64 4/29 x) y))
(.f64 (+.f64 x -4/29) (.f64 3 y))
(/.f64 (*.f64 y -48/841) (+.f64 x 4/29))
(.f64 (+.f64 x -4/29) (.f64 3 y))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 3 (.f64 y (-.f64 x 4/29)))
(/.f64 (+.f64 x -4/29) (/.f64 1 (*.f64 3 y)))
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(/.f64 (.f64 (.f64 x (.f64 x 9)) y) (.f64 3 x))
(/.f64 (.f64 (.f64 x x) (*.f64 3 y)) (+.f64 x 4/29))
(/.f64 (.f64 (+.f64 (.f64 9 (.f64 x x)) -144/841) y) (.f64 3 x))

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

Calls

7 calls:

15.0ms	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
13.0ms	y
10.0ms	x
8.0ms	(-.f64 x (/.f64 16 116))
6.0ms	(-.f64 x (/.f64 16 116))

Results

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

Compiler

Compiled 179 to 130 computations (27.4% saved)

regimes23.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
7.0ms	y

Results

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

Compiler

Compiled 69 to 47 computations (31.9% saved)

regimes73.0ms (1.3%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	y
32.0ms	x

Results

Error	Segments	Branch
1.5b	3	`x`
20.6b	7	`y`

Compiler

Compiled 48 to 32 computations (33.3% saved)

bsearch69.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.00043234636672305086	814.1796260120848
33.0ms	-7.826617198372186	-0.0029725933142516424

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes111.0ms (2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

76.0ms	y
31.0ms	x

Results

Error	Segments	Branch
2.1b	3	`x`
20.8b	7	`y`

Compiler

Compiled 41 to 27 computations (34.1% saved)

bsearch67.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.00043234636672305086	814.1796260120848
32.0ms	-7.826617198372186	-0.0029725933142516424

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes94.0ms (1.7%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

64.0ms	y
27.0ms	x

Results

Error	Segments	Branch
2.1b	3	`x`
20.8b	7	`y`

Compiler

Compiled 36 to 24 computations (33.3% saved)

bsearch88.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	0.00043234636672305086	814.1796260120848
66.0ms	-7.826617198372186	-0.0029725933142516424

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes54.0ms (1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	y
11.0ms	x

Results

Error	Segments	Branch
2.1b	3	`x`
20.8b	7	`y`

Compiler

Compiled 26 to 19 computations (26.9% saved)

bsearch37.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.00043234636672305086	814.1796260120848
18.0ms	-7.826617198372186	-0.0029725933142516424

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes10.0ms (0.2%)

Accuracy

Total -0.2b remaining (-0.8%)

Threshold costs -0.2b (-0.8%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 -12/29 y)

Calls

2 calls:

5.0ms	x
3.0ms	y

Results

Error	Segments	Branch
25.9b	1	`x`
25.9b	1	`y`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	158
1	53	158
2	54	158

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (fma.f64 x 3 -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 (+.f64 x -4/29) (.f64 3 y))
(if (<=.f64 x -8811987574540123/1125899906842624) (.f64 (.f64 x 3) y) (if (<=.f64 x 7975382778138295/18446744073709551616) (/.f64 -48/841 (/.f64 (+.f64 4/29 x) y)) (.f64 (.f64 x 3) y)))
(if (<=.f64 x -8811987574540123/1125899906842624) (.f64 (.f64 x 3) y) (if (<=.f64 x 7975382778138295/18446744073709551616) (.f64 -12/29 y) (.f64 (*.f64 x 3) y)))
(if (<=.f64 x -8811987574540123/1125899906842624) (.f64 3 (.f64 y x)) (if (<=.f64 x 7975382778138295/18446744073709551616) (.f64 -12/29 y) (.f64 3 (*.f64 y x))))
(if (<=.f64 x -8811987574540123/1125899906842624) (.f64 (.f64 3 y) x) (if (<=.f64 x 7975382778138295/18446744073709551616) (.f64 -12/29 y) (.f64 (*.f64 3 y) x)))
(*.f64 -12/29 y)

Outputs
(*.f64 (fma.f64 x 3 -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 y (+.f64 (.f64 x 3) -12/29))
(.f64 y (+.f64 -12/29 (.f64 x 3)))
(.f64 (+.f64 x -4/29) (.f64 3 y))
(if (<=.f64 x -8811987574540123/1125899906842624) (.f64 (.f64 x 3) y) (if (<=.f64 x 7975382778138295/18446744073709551616) (/.f64 -48/841 (/.f64 (+.f64 4/29 x) y)) (.f64 (.f64 x 3) y)))
(if (<=.f64 x -8811987574540123/1125899906842624) (.f64 y (.f64 x 3)) (if (<=.f64 x 7975382778138295/18446744073709551616) (/.f64 -48/841 (/.f64 (+.f64 x 4/29) y)) (.f64 y (.f64 x 3))))
(if (<=.f64 x -8811987574540123/1125899906842624) (.f64 (.f64 x 3) y) (if (<=.f64 x 7975382778138295/18446744073709551616) (.f64 -12/29 y) (.f64 (*.f64 x 3) y)))
(if (<=.f64 x -8811987574540123/1125899906842624) (.f64 y (.f64 x 3)) (if (<=.f64 x 7975382778138295/18446744073709551616) (.f64 -12/29 y) (.f64 y (*.f64 x 3))))
(if (<=.f64 x -8811987574540123/1125899906842624) (.f64 3 (.f64 y x)) (if (<=.f64 x 7975382778138295/18446744073709551616) (.f64 -12/29 y) (.f64 3 (*.f64 y x))))
(if (<=.f64 x -8811987574540123/1125899906842624) (.f64 3 (.f64 x y)) (if (<=.f64 x 7975382778138295/18446744073709551616) (.f64 -12/29 y) (.f64 3 (*.f64 x y))))
(if (<=.f64 x -8811987574540123/1125899906842624) (.f64 (.f64 3 y) x) (if (<=.f64 x 7975382778138295/18446744073709551616) (.f64 -12/29 y) (.f64 (*.f64 3 y) x)))
(if (<=.f64 x -8811987574540123/1125899906842624) (.f64 x (.f64 3 y)) (if (<=.f64 x 7975382778138295/18446744073709551616) (.f64 -12/29 y) (.f64 x (*.f64 3 y))))
(*.f64 -12/29 y)

Compiler

Compiled 127 to 90 computations (29.1% saved)

soundness12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 90 to 74 computations (17.8% saved)

end67.0ms (1.2%)

Compiler: Compiled 113 to 76 computations (32.7% saved)