Details

analyze115.0ms (2.6%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.2s (27.8%)

Results

1.2s	8256×	body	256	valid
18.0ms	165×	body	256	invalid

preprocess57.0ms (1.3%)

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)

prune53.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 25 computations (19.4% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 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	@	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)

rewrite70.0ms (1.6%)

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	17
1	218	17
2	2463	13

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

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)))))

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)))))

simplify32.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	303
1	33	303
2	60	240
3	96	240
4	102	240

Stop Event

1×

saturated

Counts

102 → 75

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)

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)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite65.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

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

Outputs

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

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

simplify15.0ms (0.4%)

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)

eval33.0ms (0.8%)

Compiler: Compiled 1171 to 885 computations (24.4% saved)

prune32.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	108	11	119
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	109	12	121

Error

0.0b

Counts

121 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.4b	(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
	21.5b	(/.f64 (.f64 (+.f64 (pow.f64 x 3) -64/24389) (.f64 3 y)) (fma.f64 x x (fma.f64 x 4/29 16/841)))
	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
	30.2b	(.f64 3 (.f64 y x))
▶	12.4b	(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29)) y)
▶	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
	15.4b	(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
▶	32.9b	(*.f64 -12/29 y)
	50.9b	(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2) y)
	33.4b	(*.f64 (+.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) 2)) (+.f64 x -4/29)) y)
▶	30.2b	(.f64 (.f64 3 x) y)

Compiler

Compiled 248 to 188 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)
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series6.0ms (0.1%)

Counts

2 → 15

Calls

9 calls:

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

rewrite66.0ms (1.5%)

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 (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

66 → 58

Calls

Call 1

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

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

localize4.0ms (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 (0.1%)

Counts

1 → 0

Calls

3 calls:

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

rewrite44.0ms (1%)

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))))))

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify11.0ms (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))

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x x -16/841)
✓	0.2b	(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29)) y)
✓	0.5b	(*.f64 (fma.f64 x x -16/841) 3)
✓	11.5b	(/.f64 (*.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29))

Compiler

Compiled 42 to 28 computations (33.3% saved)

series12.0ms (0.3%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29)) y)
1.0ms	y	@	0	(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29)) y)
1.0ms	x	@	0	(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29)) y)
1.0ms	x	@	0	(/.f64 (*.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29))
1.0ms	x	@	-inf	(/.f64 (*.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29))

rewrite159.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log-prod_binary64`
357×	`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	44
1	241	30
2	3137	30

Stop Event

1×	node limit

Counts

4 → 148

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 3 (+.f64 x -4/29)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 3 (+.f64 x -4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 3 (+.f64 x -4/29))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 3 (+.f64 x -4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (+.f64 x -4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -16/841) (/.f64 1 (.f64 (+.f64 x 4/29) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -16/841) (.f64 3 (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (.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) 3) (/.f64 1 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 (+.f64 x -4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 3 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 3 (+.f64 x -4/29))) (cbrt.f64 (pow.f64 (.f64 3 (+.f64 x -4/29)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 3 (+.f64 x -4/29)) 2)) (cbrt.f64 (.f64 3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 9 (pow.f64 (fma.f64 x x -16/841) 2))) (.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) 3)) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 3 (+.f64 x -4/29))) (sqrt.f64 (.f64 3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) 3)) (.f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) 3)) (/.f64 1 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x x -16/841) -3) (/.f64 1 (+.f64 -4/29 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x 4/29)) (.f64 (fma.f64 x x -16/841) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x -4/29) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x x -16/841) 1) (/.f64 3 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 9 (pow.f64 (fma.f64 x x -16/841) 2))) 1) (/.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) 3)) (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) 3)) 1) (/.f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) 3)) (+.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 3 (cbrt.f64 (+.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 3 (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 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(/.f64 (pow.f64 (.f64 (fma.f64 x x -16/841) 3) 3) (pow.f64 (+.f64 x 4/29) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (.f64 3 (+.f64 x -4/29))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) (+.f64 -4/29 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 3 (+.f64 x -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (+.f64 x -4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 (fma.f64 x x -16/841) 3) 3) (pow.f64 (+.f64 x 4/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (+.f64 x -4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 3 (+.f64 x -4/29)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 3 (+.f64 x -4/29)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 3 (+.f64 x -4/29)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (.f64 3 (+.f64 x -4/29)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (*.f64 3 (+.f64 x -4/29))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 x x -16/841) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 3) -48/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 x x)) -48/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 x x -16/841)) 2)) (fma.f64 x x -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x x -16/841)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (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) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 x x -16/841) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9 (pow.f64 (fma.f64 x x -16/841) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x x -16/841) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9 (pow.f64 (fma.f64 x x -16/841) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (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) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 x x -16/841) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 x x -16/841) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 x x -16/841) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 x x -16/841) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -16/841) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (fma.f64 x x -16/841) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x x -16/841) 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 x x -16/841) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -16/841) 3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (.f64 x x) -48/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 3 -48/841)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 3 (+.f64 x -4/29)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 3 (+.f64 x -4/29)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 3 (+.f64 x -4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 3 (+.f64 x -4/29))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 3 (+.f64 x -4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x x -16/841) 3) (/.f64 (+.f64 x 4/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 1 (.f64 3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (.f64 (fma.f64 x x -16/841) (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y))) (+.f64 -4/29 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) 1) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (pow.f64 (cbrt.f64 (+.f64 x 4/29)) 2)) (cbrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x x -16/841) y) (.f64 (+.f64 x 4/29) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (fma.f64 x x -16/841) -3) y) (+.f64 -4/29 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (fma.f64 x x -16/841)) (.f64 (+.f64 x 4/29) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 (fma.f64 x x -16/841) -3)) (+.f64 -4/29 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4/29) (.f64 (fma.f64 x x -16/841) (.f64 3 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (.f64 3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 3 (+.f64 x -4/29)) y)) 1) 1))))))
((#(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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (fma.f64 x x -16/841)) 1) 1))))))

simplify80.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

758×	`distribute-rgt-neg-in_binary64`
652×	`distribute-lft-neg-in_binary64`
569×	`associate-*l/_binary64`
457×	`fma-def_binary64`
360×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	558
1	55	516
2	99	489
3	199	489
4	488	489
5	1431	489
6	2999	489
7	4316	489
8	6241	489

Stop Event

1×	node limit

Counts

208 → 169

Calls

Call 1

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

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (fma.f64 x 3 -12/29))
✓	0.1b	(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
	0.1b	(fma.f64 x 3 -12/29)
✓	0.7b	(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))

Compiler

Compiled 29 to 22 computations (24.1% saved)

series4.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(expm1.f64 (fma.f64 x 3 -12/29))
0.0ms	x	@	0	(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))
0.0ms	x	@	-inf	(expm1.f64 (fma.f64 x 3 -12/29))
0.0ms	x	@	inf	(expm1.f64 (fma.f64 x 3 -12/29))
0.0ms	x	@	inf	(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))

rewrite96.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`pow1_binary64`
659×	`expm1-log1p-u_binary64`
658×	`add-log-exp_binary64`
658×	`log1p-expm1-u_binary64`
646×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	163	20
2	1761	20

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))
(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
(expm1.f64 (fma.f64 x 3 -12/29))

Outputs

((#(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 exp.f64 (log.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 -12/29)))))

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

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

850×	`cancel-sign-sub-inv_binary64`
819×	`fma-def_binary64`
606×	`distribute-rgt-neg-in_binary64`
494×	`distribute-lft-neg-in_binary64`
402×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	442
1	106	369
2	250	364
3	742	355
4	2526	352
5	4489	352

Stop Event

1×	node limit

Counts

102 → 73

Calls

Call 1

Inputs
-12/29
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(-.f64 (*.f64 3 x) 12/29)
(*.f64 -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)
(-.f64 (exp.f64 -12/29) 1)
(-.f64 (+.f64 (.f64 3 (.f64 (exp.f64 -12/29) x)) (exp.f64 -12/29)) 1)
(-.f64 (+.f64 (.f64 3 (.f64 (exp.f64 -12/29) x)) (+.f64 (.f64 9/2 (.f64 (exp.f64 -12/29) (pow.f64 x 2))) (exp.f64 -12/29))) 1)
(-.f64 (+.f64 (.f64 3 (.f64 (exp.f64 -12/29) x)) (+.f64 (.f64 9/2 (.f64 (exp.f64 -12/29) (pow.f64 x 3))) (+.f64 (.f64 9/2 (.f64 (exp.f64 -12/29) (pow.f64 x 2))) (exp.f64 -12/29)))) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)

Outputs
-12/29
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(*.f64 3 x)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(-.f64 (*.f64 3 x) 12/29)
(fma.f64 3 x -12/29)
(*.f64 -12/29 y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 x y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 x y))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -12/29 y))
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(fma.f64 3 (.f64 x y) (.f64 -12/29 y))
(*.f64 (fma.f64 3 x -12/29) y)
(-.f64 (exp.f64 -12/29) 1)
(expm1.f64 -12/29)
(-.f64 (+.f64 (.f64 3 (.f64 (exp.f64 -12/29) x)) (exp.f64 -12/29)) 1)
(+.f64 (.f64 (.f64 3 (exp.f64 -12/29)) x) (expm1.f64 -12/29))
(fma.f64 3 (*.f64 x (exp.f64 -12/29)) (expm1.f64 -12/29))
(fma.f64 (*.f64 3 x) (exp.f64 -12/29) (expm1.f64 -12/29))
(fma.f64 (fma.f64 3 x 1) (exp.f64 -12/29) -1)
(fma.f64 (exp.f64 -12/29) (fma.f64 3 x 1) -1)
(-.f64 (+.f64 (.f64 3 (.f64 (exp.f64 -12/29) x)) (+.f64 (.f64 9/2 (.f64 (exp.f64 -12/29) (pow.f64 x 2))) (exp.f64 -12/29))) 1)
(+.f64 (fma.f64 3 (.f64 x (exp.f64 -12/29)) (fma.f64 9/2 (.f64 (exp.f64 -12/29) (*.f64 x x)) (exp.f64 -12/29))) -1)
(+.f64 (fma.f64 3 (.f64 x (exp.f64 -12/29)) (.f64 (exp.f64 -12/29) (.f64 (.f64 x x) 9/2))) (expm1.f64 -12/29))
(+.f64 (expm1.f64 -12/29) (.f64 (exp.f64 -12/29) (+.f64 (.f64 3 x) (.f64 x (.f64 x 9/2)))))
(fma.f64 (exp.f64 -12/29) (.f64 x (+.f64 (.f64 x 9/2) 3)) (expm1.f64 -12/29))
(fma.f64 (exp.f64 -12/29) (.f64 x (+.f64 3 (.f64 x 9/2))) (expm1.f64 -12/29))
(fma.f64 x (.f64 (exp.f64 -12/29) (+.f64 3 (.f64 x 9/2))) (expm1.f64 -12/29))
(-.f64 (+.f64 (.f64 3 (.f64 (exp.f64 -12/29) x)) (+.f64 (.f64 9/2 (.f64 (exp.f64 -12/29) (pow.f64 x 3))) (+.f64 (.f64 9/2 (.f64 (exp.f64 -12/29) (pow.f64 x 2))) (exp.f64 -12/29)))) 1)
(+.f64 (fma.f64 3 (.f64 x (exp.f64 -12/29)) (fma.f64 9/2 (.f64 (exp.f64 -12/29) (pow.f64 x 3)) (fma.f64 9/2 (.f64 (exp.f64 -12/29) (.f64 x x)) (exp.f64 -12/29)))) -1)
(fma.f64 3 (.f64 x (exp.f64 -12/29)) (+.f64 (.f64 (.f64 (exp.f64 -12/29) 9/2) (+.f64 (pow.f64 x 3) (.f64 x x))) (expm1.f64 -12/29)))
(fma.f64 3 (.f64 x (exp.f64 -12/29)) (fma.f64 9/2 (.f64 (exp.f64 -12/29) (+.f64 (*.f64 x x) (pow.f64 x 3))) (expm1.f64 -12/29)))
(fma.f64 (exp.f64 -12/29) (.f64 9/2 (.f64 x (fma.f64 x x x))) (fma.f64 (fma.f64 3 x 1) (exp.f64 -12/29) -1))
(+.f64 (expm1.f64 -12/29) (.f64 x (.f64 (exp.f64 -12/29) (+.f64 (*.f64 9/2 (fma.f64 x x x)) 3))))
(+.f64 (expm1.f64 -12/29) (.f64 (exp.f64 -12/29) (.f64 x (+.f64 3 (*.f64 9/2 (fma.f64 x x x))))))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))
(-.f64 (exp.f64 (fma.f64 x 3 -12/29)) 1)
(expm1.f64 (fma.f64 3 x -12/29))

eval297.0ms (6.8%)

Compiler: Compiled 4414 to 3325 computations (24.7% saved)

prune58.0ms (1.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	359	3	362
Fresh	5	1	6
Picked	1	0	1
Done	1	4	5
Total	366	8	374

Error

0.0b

Counts

374 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.2b	(.f64 3 (.f64 y x))
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
▶	0.3b	(/.f64 y (/.f64 1 (*.f64 3 (+.f64 x -4/29))))
✓	0.2b	(*.f64 (fma.f64 x 3 -12/29) y)
▶	0.3b	(.f64 3 (.f64 y (-.f64 x 4/29)))
▶	30.2b	(.f64 x (.f64 3 y))
✓	32.9b	(*.f64 -12/29 y)
✓	30.2b	(.f64 (.f64 3 x) y)

Compiler

Compiled 63 to 48 computations (23.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite56.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series3.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite62.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	174	17
2	2114	17

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

58 → 44

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (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 x (.f64 3 y))

Outputs

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

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))

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 3 (+.f64 x -4/29))
✓	0.1b	(/.f64 1 (*.f64 3 (+.f64 x -4/29)))
✓	0.3b	(/.f64 y (/.f64 1 (*.f64 3 (+.f64 x -4/29))))

Compiler

Compiled 31 to 24 computations (22.6% saved)

series5.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 y (/.f64 1 (*.f64 3 (+.f64 x -4/29))))
1.0ms	x	@	inf	(/.f64 1 (*.f64 3 (+.f64 x -4/29)))
0.0ms	x	@	-inf	(/.f64 1 (*.f64 3 (+.f64 x -4/29)))
0.0ms	x	@	0	(/.f64 1 (*.f64 3 (+.f64 x -4/29)))
0.0ms	y	@	inf	(/.f64 y (/.f64 1 (*.f64 3 (+.f64 x -4/29))))

rewrite86.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
379×	`exp-prod_binary64`
268×	`pow2_binary64`
265×	`pow-prod-down_binary64`
187×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	227	20
2	2931	20

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 3 x -12/29))))) (#(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 (*.f64 (*.f64 3 x) 1) -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 3 x -12/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3 x -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3 x -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1/3 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1/3 (+.f64 x -4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -4/29) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 x -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -12/29) 2)) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 3 x -12/29)) (pow.f64 (fma.f64 3 x -12/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1/3 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -4/29) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) -2) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) -1728/24389) (+.f64 (pow.f64 (*.f64 3 x) 2) (-.f64 144/841 (*.f64 (*.f64 3 x) -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 3 x) 2) 144/841) (fma.f64 3 x 12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64/24389 (pow.f64 x 3)) 3) (-.f64 (fma.f64 x x 16/841) (*.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/841) 3) (-.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 -64/24389 (pow.f64 x 3))) (-.f64 (fma.f64 x x 16/841) (*.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (fma.f64 x x -16/841)) (-.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (+.f64 x -4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x -12/29) 2) 1/2)))) (#(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 (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 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) -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 pow.f64 (pow.f64 (fma.f64 3 x -12/29) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1/3 (+.f64 x -4/29)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 3 x -12/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 3 x -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 3 x -12/29)))) (sqrt.f64 (log.f64 (fma.f64 3 x -12/29))))))) (#(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 log.f64 (+.f64 1 (expm1.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 exp.f64 (*.f64 (log.f64 (fma.f64 3 x -12/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 3 x -12/29))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 3 x -12/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 3 x -12/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3 x -12/29)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3 x -12/29)) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.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 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) 1 -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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x) -12/29)))))

simplify100.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

963×	`fma-neg_binary64`
633×	`fma-def_binary64`
629×	`associate-/r*_binary64`
568×	`associate-/r/_binary64`
344×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	463
1	127	459
2	273	417
3	661	411
4	1707	408
5	5176	408
6	7279	408

Stop Event

1×	node limit

Counts

220 → 194

Calls

Call 1

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

eval146.0ms (3.3%)

Compiler: Compiled 2910 to 2225 computations (23.5% saved)

prune75.0ms (1.7%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	258	3	261
Fresh	0	0	0
Picked	0	1	1
Done	2	5	7
Total	260	9	269

Error

Counts

269 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.2b	(.f64 3 (.f64 y x))
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.3b	(/.f64 y (/.f64 1 (*.f64 3 (+.f64 x -4/29))))
▶	33.0b	(/.f64 y -29/12)
✓	30.2b	(.f64 (.f64 3 x) y)
✓	30.2b	(.f64 x (.f64 3 y))
▶	33.0b	(.f64 3 (.f64 y -4/29))
▶	30.2b	(/.f64 y (/.f64 1/3 x))
✓	32.9b	(*.f64 -12/29 y)

Compiler

Compiled 65 to 50 computations (23.1% saved)

localize12.0ms (0.3%)

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)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify17.0ms (0.4%)

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)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 y -29/12)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite69.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

397×	`pow1_binary64`
396×	`add-sqr-sqrt_binary64`
380×	`*-un-lft-identity_binary64`
377×	`add-log-exp_binary64`
377×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	88	4
2	1023	4

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(/.f64 y -29/12)

Outputs

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

simplify15.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

51 → 39

Calls

Call 1

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

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

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 y (/.f64 1/3 x))
✓	0.3b	(/.f64 1/3 x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1/3 x)
1.0ms	x	@	inf	(/.f64 1/3 x)
1.0ms	x	@	-inf	(/.f64 1/3 x)
0.0ms	y	@	inf	(/.f64 y (/.f64 1/3 x))
0.0ms	y	@	-inf	(/.f64 y (/.f64 1/3 x))

rewrite80.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`pow1_binary64`
660×	`add-log-exp_binary64`
660×	`log1p-expm1-u_binary64`
660×	`expm1-log1p-u_binary64`
647×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	134	11
2	1786	11

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(/.f64 1/3 x)
(/.f64 y (/.f64 1/3 x))

Outputs

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

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

simplify23.0ms (0.5%)

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

85 → 62

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))

eval59.0ms (1.3%)

Compiler: Compiled 1042 to 777 computations (25.4% saved)

prune40.0ms (0.9%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	126	9	135

Error

Counts

135 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.2b	(.f64 3 (.f64 y x))
✓	0.2b	(.f64 (-.f64 (.f64 3 x) 12/29) y)
✓	0.3b	(/.f64 y (/.f64 1 (*.f64 3 (+.f64 x -4/29))))
✓	33.0b	(/.f64 y -29/12)
✓	30.2b	(.f64 (.f64 3 x) y)
✓	30.2b	(.f64 x (.f64 3 y))
✓	33.0b	(.f64 3 (.f64 y -4/29))
✓	30.2b	(/.f64 y (/.f64 1/3 x))
✓	32.9b	(*.f64 -12/29 y)

Compiler

Compiled 65 to 50 computations (23.1% saved)

regimes107.0ms (2.4%)

Counts

19 → 1

Calls

Call 1

Inputs
(/.f64 y -29/12)
(*.f64 -12/29 y)
(.f64 3 (.f64 y -4/29))
(/.f64 y (/.f64 1/3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 (.f64 3 x) y)
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(/.f64 y (/.f64 1 (*.f64 3 (+.f64 x -4/29))))
(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)
(*.f64 (fma.f64 x 3 -12/29) y)
(.f64 (/.f64 (.f64 (fma.f64 x x -16/841) 3) (+.f64 x 4/29)) y)
(/.f64 (.f64 (fma.f64 x x -16/841) (.f64 3 y)) (+.f64 x 4/29))
(*.f64 (log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) y)
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2) y)
(*.f64 (+.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) 2)) (+.f64 x -4/29)) y)
(/.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 (-.f64 (.f64 3 x) 12/29) y)

Calls

7 calls:

16.0ms	(*.f64 (-.f64 x (/.f64 16 116)) 3)
16.0ms	(-.f64 x (/.f64 16 116))
15.0ms	(-.f64 x (/.f64 16 116))
13.0ms	(*.f64 (-.f64 x (/.f64 16 116)) 3)
11.0ms	(.f64 (.f64 (-.f64 x (/.f64 16 116)) 3) y)

Results

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

Compiler

Compiled 196 to 144 computations (26.5% saved)

regimes16.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

Inputs
(/.f64 y -29/12)
(*.f64 -12/29 y)
(.f64 3 (.f64 y -4/29))
(/.f64 y (/.f64 1/3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 (.f64 3 x) y)
(.f64 3 (.f64 y (-.f64 x 4/29)))

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

Calls

2 calls:

7.0ms	y
6.0ms	x

Results

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

Compiler

Compiled 51 to 33 computations (35.3% saved)

regimes56.0ms (1.3%)

Counts

8 → 3

Calls

Call 1

Inputs
(/.f64 y -29/12)
(*.f64 -12/29 y)
(.f64 3 (.f64 y -4/29))
(/.f64 y (/.f64 1/3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 (.f64 3 x) y)

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

Calls

2 calls:

37.0ms	y
17.0ms	x

Results

Error	Segments	Branch
1.7b	3	`x`
18.7b	7	`y`

Compiler

Compiled 44 to 28 computations (36.4% saved)

bsearch39.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.02848159413739107	10858373.96237734
20.0ms	-3.6221462031608493	-3.4830836073839855e-6

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes52.0ms (1.2%)

Counts

7 → 3

Calls

Call 1

Inputs
(/.f64 y -29/12)
(*.f64 -12/29 y)
(.f64 3 (.f64 y -4/29))
(/.f64 y (/.f64 1/3 x))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))

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

Calls

2 calls:

34.0ms	y
16.0ms	x

Results

Error	Segments	Branch
1.8b	3	`x`
18.8b	7	`y`

Compiler

Compiled 39 to 25 computations (35.9% saved)

bsearch38.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.02848159413739107	10858373.96237734
19.0ms	-3.6221462031608493	-3.4830836073839855e-6

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes46.0ms (1%)

Counts

5 → 3

Calls

Call 1

Inputs
(/.f64 y -29/12)
(*.f64 -12/29 y)
(.f64 3 (.f64 y -4/29))
(/.f64 y (/.f64 1/3 x))
(.f64 3 (.f64 y x))

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

Calls

2 calls:

31.0ms	y
13.0ms	x

Results

Error	Segments	Branch
1.8b	3	`x`
18.8b	7	`y`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch39.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.02848159413739107	10858373.96237734
20.0ms	-3.6221462031608493	-3.4830836073839855e-6

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes40.0ms (0.9%)

Counts

4 → 3

Calls

Call 1

Inputs
(/.f64 y -29/12)
(*.f64 -12/29 y)
(.f64 3 (.f64 y -4/29))
(/.f64 y (/.f64 1/3 x))

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

Calls

2 calls:

26.0ms	y
12.0ms	x

Results

Error	Segments	Branch
1.8b	3	`x`
18.8b	7	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch38.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.02848159413739107	10858373.96237734
19.0ms	-3.6221462031608493	-3.4830836073839855e-6

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes10.0ms (0.2%)

Accuracy

Total -0.2b remaining (-0.6%)

Threshold costs -0.2b (-0.6%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 -12/29 y)

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

Error	Segments	Branch
32.9b	1	`x`
32.9b	1	`y`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	148
1	52	148
2	54	148

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 3 (.f64 y (-.f64 x 4/29)))
(if (<=.f64 x -8156348145418329/2251799813685248) (.f64 x (.f64 3 y)) (if (<=.f64 x 525392677863719424/18446744073709551616) (.f64 -12/29 y) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -8156348145418329/2251799813685248) (.f64 x (.f64 3 y)) (if (<=.f64 x 525392677863719424/18446744073709551616) (.f64 -12/29 y) (.f64 x (*.f64 3 y))))
(if (<=.f64 x -8156348145418329/2251799813685248) (/.f64 y (/.f64 1/3 x)) (if (<=.f64 x 525392677863719424/18446744073709551616) (.f64 -12/29 y) (.f64 3 (*.f64 y x))))
(if (<=.f64 x -8156348145418329/2251799813685248) (/.f64 y (/.f64 1/3 x)) (if (<=.f64 x 525392677863719424/18446744073709551616) (*.f64 -12/29 y) (/.f64 y (/.f64 1/3 x))))
(*.f64 -12/29 y)
(/.f64 y -29/12)

Outputs
(.f64 (-.f64 (.f64 3 x) 12/29) y)
(.f64 (+.f64 (.f64 3 x) -12/29) y)
(.f64 3 (.f64 y (-.f64 x 4/29)))
(.f64 3 (.f64 y (+.f64 x -4/29)))
(if (<=.f64 x -8156348145418329/2251799813685248) (.f64 x (.f64 3 y)) (if (<=.f64 x 525392677863719424/18446744073709551616) (.f64 -12/29 y) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -8156348145418329/2251799813685248) (.f64 x (.f64 3 y)) (if (<=.f64 x 1026157573952577/36028797018963968) (.f64 y -12/29) (.f64 (*.f64 3 x) y)))
(if (<=.f64 x -8156348145418329/2251799813685248) (.f64 x (.f64 3 y)) (if (<=.f64 x 525392677863719424/18446744073709551616) (.f64 -12/29 y) (.f64 x (*.f64 3 y))))
(if (<=.f64 x -8156348145418329/2251799813685248) (.f64 x (.f64 3 y)) (if (<=.f64 x 1026157573952577/36028797018963968) (.f64 y -12/29) (.f64 x (*.f64 3 y))))
(if (<=.f64 x -8156348145418329/2251799813685248) (/.f64 y (/.f64 1/3 x)) (if (<=.f64 x 525392677863719424/18446744073709551616) (.f64 -12/29 y) (.f64 3 (*.f64 y x))))
(if (<=.f64 x -8156348145418329/2251799813685248) (/.f64 y (/.f64 1/3 x)) (if (<=.f64 x 1026157573952577/36028797018963968) (.f64 y -12/29) (.f64 3 (*.f64 x y))))
(if (<=.f64 x -8156348145418329/2251799813685248) (/.f64 y (/.f64 1/3 x)) (if (<=.f64 x 525392677863719424/18446744073709551616) (*.f64 -12/29 y) (/.f64 y (/.f64 1/3 x))))
(if (<=.f64 x -8156348145418329/2251799813685248) (/.f64 y (/.f64 1/3 x)) (if (<=.f64 x 1026157573952577/36028797018963968) (*.f64 y -12/29) (/.f64 y (/.f64 1/3 x))))
(*.f64 -12/29 y)
(*.f64 y -12/29)
(/.f64 y -29/12)

Compiler

Compiled 120 to 86 computations (28.3% saved)

soundness14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 90 to 74 computations (17.8% saved)

end70.0ms (1.6%)

Compiler: Compiled 106 to 72 computations (32.1% saved)