Details

analyze162.0ms (10.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
43.7%	56.2%	0.1%	7
56.2%	43.7%	0.1%	8
70.2%	29.7%	0.1%	9
76.5%	23.4%	0.1%	10
84.7%	15.2%	0.1%	11
87.8%	12.1%	0.1%	12
92.2%	7.7%	0.1%	13
93.7%	6.2%	0.1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample782.0ms (50.7%)

Results

765.0ms

8256×

body

128

valid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess40.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

968×	`fma-neg_binary64`
788×	`div-sub_binary64`
502×	`times-frac_binary64`
281×	`associate-/r*_binary64`
270×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	27	26
2	71	26
3	168	26
4	327	26
5	720	26
6	1566	22
7	4076	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
(/.f64 (.f64 (.f64 y 2) x) (-.f64 y x))

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify18.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

546×	`times-frac_binary64`
408×	`fma-def_binary64`
310×	`div-sub_binary64`
277×	`associate-/l*_binary64`
265×	`associate-/r*_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	41	13
3	87	13
4	178	13
5	356	13
6	652	11
7	1398	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))

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

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	7.5b	(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
	14.7b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))

Compiler

Compiled 61 to 40 computations (34.4% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.5b	(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))

series5.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

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

rewrite39.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

809×	`log1p-expm1-u_binary64`
809×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`
82×	`*-un-lft-identity_binary64`
82×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	171	11
2	2161	11

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify27.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

411×	`fma-neg_binary64`
367×	`cancel-sign-sub-inv_binary64`
294×	`associate-/l/_binary64`
277×	`associate-/r/_binary64`
216×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	510
1	134	492
2	469	444
3	1988	432

Stop Event

1×	node limit

Counts

57 → 47

Calls

Call 1

Inputs
(*.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (*.f64 2 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x)))))
(*.f64 2 y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(*.f64 2 y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(*.f64 2 y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(*.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (*.f64 2 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x)))))
(*.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (*.f64 2 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x)))))

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

prune31.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	44	5	49

Error

Counts

49 → 5

Alt Table

Status	Error	Program
✓	7.5b	(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
	14.7b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
▶	7.7b	(pow.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x) -1)
	31.5b	(*.f64 2 y)
	32.6b	(.f64 -2 (.f64 (+.f64 (/.f64 x y) 1) x))

Compiler

Compiled 776 to 497 computations (36% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x) -1)
✓	7.6b	(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)

series9.0ms (0.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x) -1)
1.0ms	x	@	-inf	(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)
1.0ms	x	@	0	(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)
1.0ms	y	@	0	(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)
1.0ms	x	@	inf	(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)

rewrite44.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

461×	`log-prod_binary64`
257×	`pow2_binary64`
179×	`pow1/3_binary64`
176×	`expm1-udef_binary64`
176×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	212	22
2	2595	22

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs
(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)
(pow.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x) -1)

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

Outputs

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

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

simplify35.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

415×	`fma-neg_binary64`
371×	`cancel-sign-sub-inv_binary64`
294×	`associate-/l/_binary64`
280×	`associate-/r/_binary64`
223×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	714
1	156	696
2	504	648
3	2051	636

Stop Event

1×	node limit

Counts

130 → 102

Calls

Call 1

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

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

prune60.0ms (3.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	102	5	107

Error

Counts

107 → 5

Alt Table

Status	Error	Program
✓	7.5b	(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
▶	14.7b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
✓	7.7b	(pow.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x) -1)
	31.5b	(*.f64 2 y)
	32.6b	(.f64 -2 (.f64 (+.f64 (/.f64 x y) 1) x))

Compiler

Compiled 1630 to 1052 computations (35.5% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.2b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
1.0ms	y	@	inf	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
1.0ms	x	@	inf	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
0.0ms	x	@	-inf	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
0.0ms	y	@	-inf	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))

rewrite44.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
386×	`prod-diff_binary64`
185×	`fma-def_binary64`
169×	`expm1-udef_binary64`
169×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	181	13
2	2667	13

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))

Outputs

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

simplify36.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

411×	`fma-neg_binary64`
367×	`cancel-sign-sub-inv_binary64`
294×	`associate-/l/_binary64`
277×	`associate-/r/_binary64`
216×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	510
1	134	492
2	469	444
3	1988	432

Stop Event

1×	node limit

Counts

76 → 66

Calls

Call 1

Inputs
(*.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (*.f64 2 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x)))))
(*.f64 2 y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(*.f64 2 y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(*.f64 2 y)
(+.f64 (.f64 2 y) (.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) x)) (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(*.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (*.f64 2 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x)))))
(*.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (*.f64 2 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 x)))))

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

prune35.0ms (2.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	66	5	71

Error

Counts

71 → 5

Alt Table

Status	Error	Program
✓	7.5b	(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
✓	14.7b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
✓	7.7b	(pow.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x) -1)
▶	31.5b	(*.f64 2 y)
	32.6b	(.f64 -2 (.f64 (+.f64 (/.f64 x y) 1) x))

Compiler

Compiled 1096 to 481 computations (56.1% saved)

localize2.0ms (0.1%)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Error

Counts

5 → 5

Alt Table

Status	Error	Program
✓	7.5b	(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
✓	14.7b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
✓	7.7b	(pow.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x) -1)
✓	31.5b	(*.f64 2 y)
	32.6b	(.f64 -2 (.f64 (+.f64 (/.f64 x y) 1) x))

Compiler

Compiled 49 to 35 computations (28.6% saved)

regimes64.0ms (4.1%)

Accuracy

Total 0.9b remaining (99.4%)

Threshold costs 0.9b (99.4%)

Counts

8 → 5

Compiler

Compiled 69 to 44 computations (36.2% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Calls

4 calls:

0.0ms	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
0.0ms	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
0.0ms	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
0.0ms	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))

Steps

Iters	Point		Range
5e-105	∈ [	3.4905763884216634e-105	,	1.9914161868613554e-93	]
0.0	∈ [	0.0	,	3.6979664554204193e-301	]
-5e-307	∈ [	-9.782827193035675e-307	,	-0.0	]
-2e-8	∈ [	-2.8176498990579174e-8	,	-3.0069496699144913e-9	]

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	131
1	30	131
2	34	131
3	36	131
4	37	131

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -3022314549036573/151115727451828646838272) (/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -6325070415853457/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 0) (/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 6455624695217271/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) (/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))))))

Outputs

(if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -3022314549036573/151115727451828646838272) (/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -6325070415853457/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 0) (/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 6455624695217271/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) (/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))))))

end82.0ms (5.3%)

Stop Event

1×

fuel

Compiler

Compiled 233 to 139 computations (40.3% saved)

Details

analyze162.0ms (10.5%)

sample782.0ms (50.7%)

preprocess40.0ms (2.6%)

simplify18.0ms (1.2%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

series5.0ms (0.3%)

rewrite39.0ms (2.6%)

simplify27.0ms (1.7%)

prune31.0ms (2%)

localize6.0ms (0.4%)

series9.0ms (0.6%)

rewrite44.0ms (2.8%)

simplify35.0ms (2.3%)

prune60.0ms (3.9%)

localize5.0ms (0.3%)

series3.0ms (0.2%)

rewrite44.0ms (2.8%)

simplify36.0ms (2.3%)

prune35.0ms (2.2%)

localize2.0ms (0.1%)

prune2.0ms (0.1%)

regimes64.0ms (4.1%)

bsearch1.0ms (0%)

simplify4.0ms (0.3%)

end82.0ms (5.3%)

Profiling