Details

analyze132.0ms (9.3%)

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%	46.8%	3.2%	7
59.3%	35.9%	4.8%	8
67.1%	25.8%	7.1%	9
72.6%	19.1%	8.3%	10
76.9%	13.5%	9.7%	11
79.8%	9.9%	10.3%	12
82%	6.9%	11.1%	13
83.6%	5%	11.4%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample717.0ms (50.5%)

Results

696.0ms	8256×	body	128	valid
8.0ms	100×	body	128	invalid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess40.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

643×	`fma-def_binary64`
315×	`fma-neg_binary64`
113×	`cancel-sign-sub-inv_binary64`
78×	`distribute-rgt-in_binary64`
59×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	22	20
2	45	16
3	123	16
4	268	16
5	550	16
6	1090	16
7	1776	16
8	1952	16
9	1970	16
10	1970	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 1) y) x)
(-.f64 (*.f64 (+.f64 y 1) x) y)

Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(-.f64 (*.f64 (+.f64 y 1) x) y)
(-.f64 (*.f64 x (+.f64 1 y)) y)
(fma.f64 x (+.f64 1 y) (neg.f64 y))
(-.f64 (fma.f64 x y x) y)

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify18.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

408×	`fma-def_binary64`
244×	`fma-neg_binary64`
73×	`cancel-sign-sub-inv_binary64`
46×	`distribute-rgt-in_binary64`
36×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	27	8
3	66	8
4	135	8
5	264	8
6	492	8
7	925	8
8	1238	8
9	1287	8
10	1296	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 x 1) y) x)

Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)

prune4.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (fma.f64 x y y) x)

Compiler

Compiled 31 to 16 computations (48.4% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 x y y) x)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite36.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
61×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	111	8
2	1578	8

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(-.f64 (fma.f64 x y y) x)

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

Outputs

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

simplify25.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

266×	`fma-def_binary64`
219×	`fma-neg_binary64`
38×	`cancel-sign-sub-inv_binary64`
37×	`distribute-rgt-in_binary64`
30×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	176
1	38	172
2	78	172
3	152	172
4	348	172
5	725	172
6	1016	172
7	1049	172
8	1052	172

Stop Event

1×

saturated

Counts

62 → 48

Calls

Call 1

Inputs
y
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(*.f64 (-.f64 y 1) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(.f64 -1 (.f64 (-.f64 1 y) x))
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(*.f64 -1 x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(*.f64 (+.f64 1 x) y)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(*.f64 (+.f64 1 x) y)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)

Outputs
y
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(.f64 -1 (.f64 (-.f64 1 y) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 y x y)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 x 1))
(fma.f64 y x y)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)

prune21.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Error

Counts

49 → 3

Alt Table

Status	Error	Program
▶	28.6b	(*.f64 (-.f64 y 1) x)
✓	0.0b	(-.f64 (fma.f64 x y y) x)
	29.8b	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) 2)

Compiler

Compiled 621 to 211 computations (66% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y 1) x)

series5.0ms (0.4%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 (-.f64 y 1) x)
1.0ms	y	@	0	(*.f64 (-.f64 y 1) x)
1.0ms	x	@	inf	(*.f64 (-.f64 y 1) x)
0.0ms	x	@	-inf	(*.f64 (-.f64 y 1) x)
0.0ms	y	@	-inf	(*.f64 (-.f64 y 1) x)

rewrite31.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`pow1_binary64`
556×	`add-log-exp_binary64`
555×	`log1p-expm1-u_binary64`
555×	`expm1-log1p-u_binary64`
63×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	124	7
2	1541	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 (-.f64 y 1) x)

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

Outputs

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

simplify16.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

123×	`fma-def_binary64`
78×	`fma-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
16×	`distribute-rgt-neg-in_binary64`
16×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	28	74
4	43	74
5	71	74
6	154	74
7	297	74
8	441	74
9	475	74
10	477	74

Stop Event

1×

saturated

Counts

32 → 26

Calls

Call 1

Inputs
(*.f64 -1 x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)

Outputs
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))

prune11.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Error

Counts

29 → 3

Alt Table

Status	Error	Program
✓	28.6b	(*.f64 (-.f64 y 1) x)
✓	0.0b	(-.f64 (fma.f64 x y y) x)
▶	29.8b	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) 2)

Compiler

Compiled 236 to 156 computations (33.9% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (fma.f64 x y y) x)
✓	0.0b	(sqrt.f64 (-.f64 (fma.f64 x y y) x))
✓	0.3b	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) 2)

series132.0ms (9.3%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
56.0ms	y	@	0	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) 2)
29.0ms	x	@	0	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) 2)
11.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) 2)
8.0ms	x	@	inf	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) 2)
7.0ms	x	@	inf	(sqrt.f64 (-.f64 (fma.f64 x y y) x))

rewrite43.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`pow1_binary64`
743×	`log1p-expm1-u_binary64`
743×	`expm1-log1p-u_binary64`
80×	`add-sqr-sqrt_binary64`
76×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	176	18
2	2011	18

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) 2)
(sqrt.f64 (-.f64 (fma.f64 x y y) x))

Outputs

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

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

simplify25.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

659×	`fma-def_binary64`
488×	`times-frac_binary64`
364×	`associate-l_binary64`
331×	`associate-/l*_binary64`
314×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	602
1	347	578
2	1360	552

Stop Event

1×	node limit

Counts

84 → 88

Calls

Call 1

Inputs
y
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(pow.f64 (sqrt.f64 (neg.f64 x)) 2)
(+.f64 (*.f64 y x) (+.f64 y (pow.f64 (sqrt.f64 (neg.f64 x)) 2)))
(+.f64 (*.f64 y x) (+.f64 y (pow.f64 (sqrt.f64 (neg.f64 x)) 2)))
(+.f64 (*.f64 y x) (+.f64 y (pow.f64 (sqrt.f64 (neg.f64 x)) 2)))
(sqrt.f64 y)
(-.f64 (+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 y) x))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(-.f64 (+.f64 (sqrt.f64 y) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (.f64 1/2 (.f64 (sqrt.f64 y) x)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (sqrt.f64 y) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 y) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 y) x)) (.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 3))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 3))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))))))))
(sqrt.f64 (neg.f64 x))
(+.f64 (.f64 1/2 (/.f64 y (sqrt.f64 (neg.f64 x)))) (+.f64 (sqrt.f64 (neg.f64 x)) (.f64 1/2 (/.f64 (*.f64 y x) (sqrt.f64 (neg.f64 x))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 y (sqrt.f64 (neg.f64 x)))) (+.f64 (sqrt.f64 (neg.f64 x)) (.f64 1/2 (/.f64 (.f64 y x) (sqrt.f64 (neg.f64 x)))))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 (neg.f64 x)) 3))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 (neg.f64 x)) 3))) (.f64 1/4 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (sqrt.f64 (neg.f64 x)) 3))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 y (sqrt.f64 (neg.f64 x)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 (neg.f64 x)) 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 y x) (sqrt.f64 (neg.f64 x)))) (+.f64 (.f64 3/16 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (sqrt.f64 (neg.f64 x)) 5))) (+.f64 (sqrt.f64 (neg.f64 x)) (+.f64 (.f64 3/16 (/.f64 (.f64 (pow.f64 y 3) x) (pow.f64 (sqrt.f64 (neg.f64 x)) 5))) (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 (neg.f64 x)) 5))))))))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (sqrt.f64 (neg.f64 x)) 3))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 (neg.f64 x)) 3))) (*.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 (neg.f64 x)) 3))))))

Outputs
y
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (fma.f64 y x y) x)
(pow.f64 (sqrt.f64 (neg.f64 x)) 2)
(neg.f64 x)
(+.f64 (*.f64 y x) (+.f64 y (pow.f64 (sqrt.f64 (neg.f64 x)) 2)))
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 y x) (+.f64 y (pow.f64 (sqrt.f64 (neg.f64 x)) 2)))
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 y x) (+.f64 y (pow.f64 (sqrt.f64 (neg.f64 x)) 2)))
(-.f64 (fma.f64 y x y) x)
(sqrt.f64 y)
(-.f64 (+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 y) x))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(+.f64 (+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 x (sqrt.f64 y)))) (.f64 -1/2 (.f64 x (sqrt.f64 (/.f64 1 y)))))
(+.f64 (sqrt.f64 y) (.f64 x (-.f64 (.f64 (sqrt.f64 y) 1/2) (*.f64 1/2 (sqrt.f64 (/.f64 1 y))))))
(fma.f64 x (*.f64 1/2 (-.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 1 y)))) (sqrt.f64 y))
(-.f64 (+.f64 (sqrt.f64 y) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (.f64 1/2 (.f64 (sqrt.f64 y) x)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 y) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x x)) (.f64 1/2 (.f64 x (sqrt.f64 y))))) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y))) (.f64 1/8 (+.f64 (.f64 (sqrt.f64 y) (.f64 x x)) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))))))
(+.f64 (+.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 1 y)))) (sqrt.f64 y)) (.f64 x (-.f64 (.f64 (sqrt.f64 y) 1/2) (.f64 1/2 (sqrt.f64 (/.f64 1 y)))))) (.f64 -1/8 (.f64 (.f64 x x) (+.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (.f64 x x) 1/4) (sqrt.f64 y)) (.f64 x (.f64 1/2 (-.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 1 y)))))) (.f64 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) -1/8))
(-.f64 (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (sqrt.f64 y) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 y) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 y) x)) (.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 3))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 3))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))))))))
(-.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x x)) (+.f64 (sqrt.f64 y) (fma.f64 1/16 (.f64 (sqrt.f64 y) (pow.f64 x 3)) (fma.f64 1/2 (.f64 x (sqrt.f64 y)) (.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 3))))))) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y))) (fma.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 3)) (fma.f64 1/8 (.f64 (sqrt.f64 y) (.f64 x x)) (fma.f64 1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (.f64 1/8 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))))))))
(+.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 1 y)))) (sqrt.f64 y)) (-.f64 (fma.f64 1/16 (.f64 (sqrt.f64 y) (pow.f64 x 3)) (fma.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 3)) (.f64 x (.f64 (sqrt.f64 y) 1/2)))) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y))) (fma.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (.f64 1/8 (.f64 (.f64 x x) (+.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 (pow.f64 x 3) 1/16)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (.f64 x x) 1/4) (sqrt.f64 y)) (-.f64 (fma.f64 x (.f64 (sqrt.f64 y) 1/2) (.f64 (pow.f64 x 3) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) 3/16) (.f64 (sqrt.f64 y) 1/16)))) (+.f64 (fma.f64 (.f64 x x) (.f64 1/8 (+.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (.f64 1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))))) (.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (.f64 1/2 x) (*.f64 3/16 (pow.f64 x 3)))))))
(sqrt.f64 (neg.f64 x))
(+.f64 (.f64 1/2 (/.f64 y (sqrt.f64 (neg.f64 x)))) (+.f64 (sqrt.f64 (neg.f64 x)) (.f64 1/2 (/.f64 (*.f64 y x) (sqrt.f64 (neg.f64 x))))))
(fma.f64 1/2 (/.f64 y (sqrt.f64 (neg.f64 x))) (+.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (.f64 1/2 (.f64 y x)) (sqrt.f64 (neg.f64 x)))))
(fma.f64 1/2 (/.f64 y (sqrt.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (/.f64 y (sqrt.f64 (neg.f64 x))) x) (sqrt.f64 (neg.f64 x))))
(fma.f64 1/2 (/.f64 y (sqrt.f64 (neg.f64 x))) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 (neg.f64 x)) y)) (sqrt.f64 (neg.f64 x))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 y (sqrt.f64 (neg.f64 x)))) (+.f64 (sqrt.f64 (neg.f64 x)) (.f64 1/2 (/.f64 (.f64 y x) (sqrt.f64 (neg.f64 x)))))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 (neg.f64 x)) 3))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 (neg.f64 x)) 3))) (.f64 1/4 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (sqrt.f64 (neg.f64 x)) 3))))))
(-.f64 (fma.f64 1/2 (/.f64 y (sqrt.f64 (neg.f64 x))) (+.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (.f64 1/2 (.f64 y x)) (sqrt.f64 (neg.f64 x))))) (fma.f64 1/4 (/.f64 (.f64 x (.f64 y y)) (pow.f64 (sqrt.f64 (neg.f64 x)) 3)) (.f64 1/8 (+.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) 3) (.f64 x x))) (/.f64 (.f64 y y) (pow.f64 (sqrt.f64 (neg.f64 x)) 3))))))
(-.f64 (fma.f64 1/2 (/.f64 y (sqrt.f64 (neg.f64 x))) (fma.f64 1/2 (.f64 (/.f64 y (sqrt.f64 (neg.f64 x))) x) (sqrt.f64 (neg.f64 x)))) (fma.f64 1/4 (/.f64 x (/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) 3) (.f64 y y))) (.f64 1/8 (+.f64 (/.f64 y (/.f64 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) 3) (.f64 x x)) y)) (/.f64 y (/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) 3) y))))))
(-.f64 (fma.f64 1/2 (/.f64 y (sqrt.f64 (neg.f64 x))) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 (neg.f64 x)) y)) (sqrt.f64 (neg.f64 x)))) (fma.f64 1/4 (.f64 (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 x)) 3)) (.f64 y y)) (.f64 (/.f64 1/8 (sqrt.f64 (neg.f64 x))) (+.f64 (/.f64 (.f64 x (.f64 y (.f64 y x))) (neg.f64 x)) (/.f64 (*.f64 y y) (neg.f64 x))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 y (sqrt.f64 (neg.f64 x)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 (neg.f64 x)) 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 y x) (sqrt.f64 (neg.f64 x)))) (+.f64 (.f64 3/16 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (sqrt.f64 (neg.f64 x)) 5))) (+.f64 (sqrt.f64 (neg.f64 x)) (+.f64 (.f64 3/16 (/.f64 (.f64 (pow.f64 y 3) x) (pow.f64 (sqrt.f64 (neg.f64 x)) 5))) (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 (neg.f64 x)) 5))))))))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (sqrt.f64 (neg.f64 x)) 3))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 (neg.f64 x)) 3))) (*.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 (neg.f64 x)) 3))))))
(-.f64 (fma.f64 1/2 (/.f64 y (sqrt.f64 (neg.f64 x))) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) 5) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 y (/.f64 (sqrt.f64 (neg.f64 x)) x)) (fma.f64 3/16 (/.f64 (.f64 (.f64 x x) (pow.f64 y 3)) (pow.f64 (sqrt.f64 (neg.f64 x)) 5)) (+.f64 (sqrt.f64 (neg.f64 x)) (fma.f64 3/16 (/.f64 (.f64 x (pow.f64 y 3)) (pow.f64 (sqrt.f64 (neg.f64 x)) 5)) (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 (neg.f64 x)) 5))))))))) (fma.f64 1/4 (/.f64 (.f64 x (.f64 y y)) (pow.f64 (sqrt.f64 (neg.f64 x)) 3)) (.f64 1/8 (+.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) 3) (.f64 x x))) (/.f64 (.f64 y y) (pow.f64 (sqrt.f64 (neg.f64 x)) 3))))))
(-.f64 (fma.f64 1/2 (/.f64 y (sqrt.f64 (neg.f64 x))) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) 5) (pow.f64 x 3))) (fma.f64 1/2 (.f64 (/.f64 y (sqrt.f64 (neg.f64 x))) x) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 (neg.f64 x)) 5)) (/.f64 3/16 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) 5) (.f64 x (pow.f64 y 3))))) (fma.f64 3/16 (/.f64 (.f64 x x) (/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) 5) (pow.f64 y 3))) (sqrt.f64 (neg.f64 x))))))) (fma.f64 1/4 (/.f64 x (/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) 3) (.f64 y y))) (.f64 1/8 (+.f64 (/.f64 y (/.f64 (/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) 3) (.f64 x x)) y)) (/.f64 y (/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) 3) y))))))
(-.f64 (fma.f64 1/2 (/.f64 y (sqrt.f64 (neg.f64 x))) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) 5) (pow.f64 y 3))) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 (neg.f64 x)) y)) (fma.f64 3/16 (.f64 (/.f64 x (/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) 5) (pow.f64 y 3))) x) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 (neg.f64 x)) 5)) (fma.f64 3/16 (/.f64 x (/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) 5) (pow.f64 y 3))) (sqrt.f64 (neg.f64 x)))))))) (fma.f64 1/4 (.f64 (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 x)) 3)) (.f64 y y)) (.f64 (/.f64 1/8 (sqrt.f64 (neg.f64 x))) (+.f64 (/.f64 (.f64 x (.f64 y (.f64 y x))) (neg.f64 x)) (/.f64 (.f64 y y) (neg.f64 x))))))

prune63.0ms (4.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	136	3	139

Error

Counts

139 → 3

Alt Table

Status	Error	Program
✓	28.6b	(*.f64 (-.f64 y 1) x)
✓	0.0b	(-.f64 (fma.f64 x y y) x)
✓	29.8b	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y y) x)) 2)

Compiler

Compiled 2542 to 1055 computations (58.5% saved)

regimes37.0ms (2.6%)

Accuracy

Total 0.0b remaining (76.9%)

Threshold costs 0.0b (76.9%)

Counts

18 → 1

Compiler

Compiled 123 to 62 computations (49.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	7	8
2	12	8
3	14	8
4	15	8

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (fma.f64 x y y) x)

Outputs
(-.f64 (fma.f64 x y y) x)

end44.0ms (3.1%)

Stop Event

1×

done

Compiler

Compiled 42 to 24 computations (42.9% saved)

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	28	74
4	43	74
5	71	74
6	154	74
7	297	74
8	441	74
9	475	74
10	477	74

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	28	74
4	43	74
5	71	74
6	154	74
7	297	74
8	441	74
9	475	74
10	477	74

Details

analyze132.0ms (9.3%)

sample717.0ms (50.5%)

preprocess40.0ms (2.8%)

simplify18.0ms (1.3%)

prune4.0ms (0.3%)

localize5.0ms (0.3%)

series3.0ms (0.2%)

rewrite36.0ms (2.5%)

simplify25.0ms (1.8%)

prune21.0ms (1.5%)

localize3.0ms (0.2%)

series5.0ms (0.4%)

rewrite31.0ms (2.2%)

simplify16.0ms (1.1%)

prune11.0ms (0.8%)

localize6.0ms (0.4%)

series132.0ms (9.3%)

rewrite43.0ms (3%)

simplify25.0ms (1.8%)

prune63.0ms (4.4%)

regimes37.0ms (2.6%)

simplify2.0ms (0.1%)

end44.0ms (3.1%)

Profiling

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	28	74
4	43	74
5	71	74
6	154	74
7	297	74
8	441	74
9	475	74
10	477	74