Details

analyze136.0ms (9.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
59.3%	37.5%	3.2%	8
67.1%	25.8%	7.1%	9
72.6%	20.3%	7.1%	10
76.9%	13.5%	9.7%	11
79.8%	10.5%	9.7%	12
82%	6.9%	11.1%	13
83.6%	5.4%	11.1%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample809.0ms (56.1%)

Results

782.0ms	8256×	body	128	valid
12.0ms	147×	body	128	invalid

Compiler

Compiled 28 to 22 computations (21.4% saved)

preprocess69.0ms (4.8%)

Algorithm

2×	egg-herbie

Rules

1297×	`fma-neg_binary64`
333×	`cancel-sign-sub-inv_binary64`
300×	`fma-def_binary64`
262×	`sub-neg_binary64`
200×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	44	28
2	106	24
3	247	24
4	557	22
5	1221	22
6	2255	22
7	3430	22
8	3826	22
9	3844	22
10	3844	22
11	4502	22
12	4502	22
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 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 y (-.f64 x 1)) (.f64 x 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (-.f64 y 1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (-.f64 (.f64 y (-.f64 x 1)) (.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y (+.f64 x -1)) (.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1) (*.f64 x -1/2)))
(fma.f64 y (+.f64 x -1) (fma.f64 x -1/2 918938533204673/1000000000000000))
(fma.f64 x -1/2 (fma.f64 y (+.f64 x -1) 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1/2) (-.f64 918938533204673/1000000000000000 y))
(-.f64 918938533204673/1000000000000000 (fma.f64 x (-.f64 1/2 y) y))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify30.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-neg_binary64`
578×	`fma-def_binary64`
222×	`cancel-sign-sub-inv_binary64`
114×	`sub-neg_binary64`
81×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	27	14
2	62	12
3	129	12
4	268	11
5	580	11
6	1075	11
7	1794	11
8	2581	11
9	2752	11
10	2779	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)

prune3.0ms (0.2%)

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

Counts

3 → 2

Alt Table

Status	Error	Program
	0.0b	(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
▶	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Compiler

Compiled 67 to 49 computations (26.9% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite36.0ms (2.5%)

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	1540	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

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

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

simplify22.0ms (1.5%)

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	10	158
1	20	158
2	24	158
3	31	158
4	46	158
5	73	158
6	154	158
7	295	158
8	435	158
9	469	158
10	471	158

Stop Event

1×

saturated

Counts

44 → 26

Calls

Call 1

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

prune17.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

Counts

28 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
✓	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Compiler

Compiled 390 to 290 computations (25.6% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
✓	0.0b	(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)

series5.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
1.0ms	y	@	0	(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
1.0ms	y	@	-inf	(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
0.0ms	x	@	inf	(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
0.0ms	x	@	0	(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)

rewrite60.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

431×	`prod-diff_binary64`
379×	`log-prod_binary64`
268×	`fma-def_binary64`
168×	`expm1-udef_binary64`
168×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	182	19
2	2412	19

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

Inputs
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)

Outputs
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Outputs

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(pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) (cbrt.f64 (*.f64 y (+.f64 x -1/2))) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) (cbrt.f64 (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x -1/2))) (*.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x -1/2))) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x -1/2))) (*.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 1))))))

simplify62.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

597×	`fma-neg_binary64`
478×	`fma-def_binary64`
122×	`sub-neg_binary64`
109×	`cancel-sign-sub-inv_binary64`
79×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	483
1	67	465
2	157	443
3	343	407
4	734	407
5	1354	407
6	1947	407
7	2187	407
8	2314	407
9	2333	407

Stop Event

1×

saturated

Counts

187 → 154

Calls

Call 1

Inputs
918938533204673/1000000000000000
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(*.f64 (-.f64 x 1/2) y)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(.f64 -1 (.f64 y (-.f64 1/2 x)))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(*.f64 y x)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(*.f64 y x)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(*.f64 (-.f64 x 1/2) y)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(.f64 -1 (.f64 y (-.f64 1/2 x)))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(*.f64 (-.f64 y 1) x)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(.f64 -1 (.f64 (-.f64 1 y) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))

Outputs
918938533204673/1000000000000000
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (-.f64 x 1/2) y)
(*.f64 y (+.f64 x -1/2))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(.f64 -1 (.f64 y (-.f64 1/2 x)))
(*.f64 y (+.f64 x -1/2))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
(fma.f64 y -1/2 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 y x)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 y x)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
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(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
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(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 y x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y x (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
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(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 (-.f64 x 1/2) y)
(*.f64 y (+.f64 x -1/2))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(.f64 -1 (.f64 y (-.f64 1/2 x)))
(*.f64 y (+.f64 x -1/2))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
(fma.f64 y -1/2 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(.f64 -1 (.f64 (-.f64 1 y) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 (.f64 y x) 918938533204673/1000000000000000) (+.f64 (.f64 1/2 y) x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 1/2 y x))
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) (fma.f64 y 1/2 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))

prune93.0ms (6.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	154	2	156

Error

Counts

156 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
✓	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Compiler

Compiled 2496 to 1623 computations (35% saved)

regimes42.0ms (2.9%)

Accuracy

Total 0.0b remaining (83.3%)

Threshold costs 0.0b (83.3%)

Counts

17 → 1

Compiler

Compiled 159 to 104 computations (34.6% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`distribute-rgt-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	24	16
2	36	16
3	40	16
4	42	16

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs

(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)

(+.f64 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)

(+.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 y -1/2)) 918938533204673/1000000000000000)

end41.0ms (2.8%)

Stop Event

1×

done

Compiler

Compiled 49 to 37 computations (24.5% saved)

Iter	Nodes	Cost
0	10	158
1	20	158
2	24	158
3	31	158
4	46	158
5	73	158
6	154	158
7	295	158
8	435	158
9	469	158
10	471	158

Iter	Nodes	Cost
0	10	158
1	20	158
2	24	158
3	31	158
4	46	158
5	73	158
6	154	158
7	295	158
8	435	158
9	469	158
10	471	158

Details

analyze136.0ms (9.4%)

sample809.0ms (56.1%)

preprocess69.0ms (4.8%)

simplify30.0ms (2.1%)

prune3.0ms (0.2%)

localize6.0ms (0.4%)

series4.0ms (0.2%)

rewrite36.0ms (2.5%)

simplify22.0ms (1.5%)

prune17.0ms (1.2%)

localize5.0ms (0.3%)

series5.0ms (0.4%)

rewrite60.0ms (4.2%)

simplify62.0ms (4.3%)

prune93.0ms (6.5%)

regimes42.0ms (2.9%)

simplify2.0ms (0.2%)

end41.0ms (2.8%)

Profiling

Iter	Nodes	Cost
0	10	158
1	20	158
2	24	158
3	31	158
4	46	158
5	73	158
6	154	158
7	295	158
8	435	158
9	469	158
10	471	158