Details

analyze86.0ms (3.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
70.3%	70.2%	29.7%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
84.8%	84.7%	15.2%	0.1%	0%	0%	0%	11
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.1s (39.7%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess52.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

968×	`fma-neg_binary64`
785×	`div-sub_binary64`
502×	`times-frac_binary64`
309×	`cancel-sign-sub-inv_binary64`
301×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	27	26
2	71	26
3	168	26
4	320	26
5	724	26
6	1561	22
7	4112	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 2) (+.f64 (/.f64 x y) -1))
(.f64 x (.f64 2 (/.f64 y (-.f64 x y))))
(/.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 (.f64 2 y) (-.f64 y x)) x)
(*.f64 x (/.f64 2 (-.f64 1 (/.f64 x y))))
(.f64 x (.f64 2 (/.f64 y (-.f64 y x))))
(/.f64 x (fma.f64 (/.f64 x y) -1/2 1/2))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify51.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

546×	`times-frac_binary64`
408×	`fma-def_binary64`
350×	`neg-sub0_binary64`
339×	`neg-mul-1_binary64`
317×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	41	13
3	87	13
4	180	13
5	355	13
6	651	11
7	1409	11
8	5586	11
9	7294	11

Stop Event

1×	node limit

Counts

1 → 8

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

eval2.0ms (0.1%)

Compiler: Compiled 72 to 39 computations (45.8% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	7	2	9

Error

0.0b

Counts

9 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.3b	(/.f64 x (+.f64 (/.f64 (/.f64 x 2) y) -1/2))
▶	8.7b	(.f64 (/.f64 (.f64 x 2) (-.f64 x y)) y)

Compiler

Compiled 22 to 15 computations (31.8% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 x 2) (-.f64 x y))
✓	8.7b	(.f64 (/.f64 (.f64 x 2) (-.f64 x y)) y)

Compiler

Compiled 27 to 13 computations (51.9% saved)

series8.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (/.f64 (.f64 x 2) (-.f64 x y)) y)
1.0ms	x	@	0	(.f64 (/.f64 (.f64 x 2) (-.f64 x y)) y)
1.0ms	x	@	inf	(.f64 (/.f64 (.f64 x 2) (-.f64 x y)) y)
1.0ms	y	@	inf	(.f64 (/.f64 (.f64 x 2) (-.f64 x y)) y)
1.0ms	x	@	0	(/.f64 (*.f64 x 2) (-.f64 x y))

rewrite53.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`log-prod_binary64`
377×	`prod-diff_binary64`
374×	`exp-prod_binary64`
329×	`pow-prod-down_binary64`
246×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	181	23
2	2656	23

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

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

Outputs

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

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

simplify61.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-def_binary64`
468×	`unswap-sqr_binary64`
390×	`distribute-rgt-in_binary64`
372×	`distribute-lft-in_binary64`
275×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	2325
1	767	2250
2	2641	2133

Stop Event

1×	node limit

Counts

143 → 164

Calls

Call 1

Inputs
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.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 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 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 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 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 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(*.f64 -2 (/.f64 x y))
(+.f64 (.f64 -2 (/.f64 x y)) (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (.f64 -2 (/.f64 x y)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (.f64 -2 (/.f64 x y)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
2
(+.f64 2 (*.f64 2 (/.f64 y x)))
(+.f64 2 (+.f64 (.f64 2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
2
(+.f64 2 (*.f64 2 (/.f64 y x)))
(+.f64 2 (+.f64 (.f64 2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
2
(+.f64 2 (*.f64 2 (/.f64 y x)))
(+.f64 2 (+.f64 (.f64 2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(*.f64 -2 (/.f64 x y))
(+.f64 (.f64 -2 (/.f64 x y)) (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (.f64 -2 (/.f64 x y)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (.f64 -2 (/.f64 x y)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(*.f64 -2 (/.f64 x y))
(+.f64 (.f64 -2 (/.f64 x y)) (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (.f64 -2 (/.f64 x y)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (.f64 -2 (/.f64 x y)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 0 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) 2) (/.f64 x (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) 2) (/.f64 x (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) 2) (/.f64 x (-.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) 2) (/.f64 x (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))))) 1)
(/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))
(/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x y) (.f64 x (.f64 2 y))))
(/.f64 (.f64 x y) (.f64 (-.f64 x y) 1/2))
(/.f64 (.f64 x (.f64 2 y)) (-.f64 x y))
(/.f64 (neg.f64 (.f64 x (.f64 2 y))) (neg.f64 (-.f64 x y)))
(/.f64 (/.f64 (.f64 x (.f64 2 y)) 1) (-.f64 x y))
(/.f64 (/.f64 (.f64 x (.f64 2 y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))
(/.f64 (/.f64 (.f64 x (.f64 2 y)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (.f64 (.f64 x -2) y) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 y (.f64 x -2)) (neg.f64 (-.f64 x y)))
(pow.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))) 1)
(pow.f64 (pow.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))))
(pow.f64 (/.f64 (-.f64 x y) (.f64 x (.f64 2 y))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))))) 2)) (cbrt.f64 (log.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))))) (sqrt.f64 (log.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))))))
(sqrt.f64 (pow.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) 2) (/.f64 x (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))))))
(cbrt.f64 (pow.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))) 3))
(expm1.f64 (log1p.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))))
(log1p.f64 (expm1.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))))
(exp.f64 (log.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))) 1) 1))
(+.f64 0 (*.f64 2 (/.f64 x (-.f64 x y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 x y))))) 1)
(.f64 x (/.f64 1 (.f64 (-.f64 x y) 1/2)))
(.f64 x (.f64 2 (/.f64 1 (-.f64 x y))))
(*.f64 2 (/.f64 x (-.f64 x y)))
(.f64 2 (.f64 x (/.f64 1 (-.f64 x y))))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 x y)))
(.f64 (.f64 2 (/.f64 x (-.f64 x y))) 1)
(.f64 1 (.f64 2 (/.f64 x (-.f64 x y))))
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (-.f64 x y)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x x)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x x)) -2)) (cbrt.f64 (.f64 2 (/.f64 x (-.f64 x y)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (.f64 (cbrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 x y))))
(.f64 (sqrt.f64 (.f64 2 (/.f64 x (-.f64 x y)))) (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))
(.f64 (sqrt.f64 (+.f64 x x)) (.f64 (sqrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 x y))))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 x y)))
(*.f64 (/.f64 x (-.f64 x y)) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (-.f64 x y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 2 (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 x (cbrt.f64 (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) -2) (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 x y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (.f64 2 (/.f64 x (-.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 x y))) (/.f64 2 (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 x y))) (/.f64 x (sqrt.f64 (-.f64 x y))))
(*.f64 (pow.f64 (-.f64 x y) -1/2) (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (-.f64 x y))))
(.f64 (/.f64 (+.f64 x x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 x y))))
(.f64 (/.f64 (+.f64 x x) (.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(pow.f64 (*.f64 2 (/.f64 x (-.f64 x y))) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x x)) -2) 1/2)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 x y))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 x y)))) 3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 x y)))) 2)
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x x)) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))
(pow.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 x y) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (/.f64 x (-.f64 x y))))) 2)) (cbrt.f64 (log.f64 (.f64 2 (/.f64 x (-.f64 x y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 2 (/.f64 x (-.f64 x y)))))) (sqrt.f64 (log.f64 (.f64 2 (/.f64 x (-.f64 x y))))))
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x x)) -2))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 x y))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 x y) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 x (-.f64 x y)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 2 (/.f64 x (-.f64 x y))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (/.f64 x (-.f64 x y))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (/.f64 x (-.f64 x y))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x x))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 x y)))) 1) 1))

Outputs
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(.f64 -2 (+.f64 (/.f64 (.f64 x x) y) x))
(*.f64 -2 (+.f64 x (/.f64 x (/.f64 y x))))
(.f64 -2 (+.f64 x (/.f64 (.f64 x x) y)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x)))
(.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (.f64 y y))))
(.f64 -2 (+.f64 x (.f64 (+.f64 (/.f64 x y) 1) (/.f64 (*.f64 x x) y))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -2 (.f64 (+.f64 (/.f64 x y) 1) (/.f64 (.f64 x x) y)) (*.f64 -2 (+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(*.f64 2 y)
(+.f64 y 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 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(fma.f64 2 y (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (*.f64 y y) x))))
(.f64 2 (+.f64 y (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) (.f64 x x)))))
(.f64 2 (+.f64 y (.f64 (/.f64 y (/.f64 x y)) (+.f64 (/.f64 y x) 1))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 2 y (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (*.f64 y y) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 2 (+.f64 y (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) (.f64 x x))))))
(.f64 2 (+.f64 (+.f64 y (.f64 (/.f64 y (/.f64 x y)) (+.f64 (/.f64 y x) 1))) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))
(*.f64 2 y)
(+.f64 y 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 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(fma.f64 2 y (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (*.f64 y y) x))))
(.f64 2 (+.f64 y (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) (.f64 x x)))))
(.f64 2 (+.f64 y (.f64 (/.f64 y (/.f64 x y)) (+.f64 (/.f64 y x) 1))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 2 y (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (*.f64 y y) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 2 (+.f64 y (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) (.f64 x x))))))
(.f64 2 (+.f64 (+.f64 y (.f64 (/.f64 y (/.f64 x y)) (+.f64 (/.f64 y x) 1))) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))
(*.f64 2 y)
(+.f64 y 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 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(fma.f64 2 y (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (*.f64 y y) x))))
(.f64 2 (+.f64 y (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) (.f64 x x)))))
(.f64 2 (+.f64 y (.f64 (/.f64 y (/.f64 x y)) (+.f64 (/.f64 y x) 1))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 2 y (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (*.f64 y y) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 2 (+.f64 y (+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) (.f64 x x))))))
(.f64 2 (+.f64 (+.f64 y (.f64 (/.f64 y (/.f64 x y)) (+.f64 (/.f64 y x) 1))) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(.f64 -2 (+.f64 (/.f64 (.f64 x x) y) x))
(*.f64 -2 (+.f64 x (/.f64 x (/.f64 y x))))
(.f64 -2 (+.f64 x (/.f64 (.f64 x x) y)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x)))
(.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (.f64 y y))))
(.f64 -2 (+.f64 x (.f64 (+.f64 (/.f64 x y) 1) (/.f64 (*.f64 x x) y))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -2 (.f64 (+.f64 (/.f64 x y) 1) (/.f64 (.f64 x x) y)) (*.f64 -2 (+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(.f64 -2 (+.f64 (/.f64 (.f64 x x) y) x))
(*.f64 -2 (+.f64 x (/.f64 x (/.f64 y x))))
(.f64 -2 (+.f64 x (/.f64 (.f64 x x) y)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x)))
(.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (.f64 y y))))
(.f64 -2 (+.f64 x (.f64 (+.f64 (/.f64 x y) 1) (/.f64 (*.f64 x x) y))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -2 (.f64 (+.f64 (/.f64 x y) 1) (/.f64 (.f64 x x) y)) (*.f64 -2 (+.f64 x (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(*.f64 -2 (/.f64 x y))
(/.f64 (*.f64 -2 x) y)
(+.f64 (.f64 -2 (/.f64 x y)) (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(.f64 -2 (+.f64 (/.f64 x y) (/.f64 (.f64 x x) (*.f64 y y))))
(.f64 -2 (+.f64 (/.f64 x y) (.f64 (/.f64 x y) (/.f64 x y))))
(.f64 -2 (.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)))
(+.f64 (.f64 -2 (/.f64 x y)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -2 (/.f64 x y) (.f64 -2 (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
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(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))) 1) 1))
(*.f64 (/.f64 y (-.f64 x y)) (+.f64 x x))
(/.f64 2 (/.f64 (+.f64 (/.f64 x y) -1) x))
(/.f64 x (*.f64 1/2 (+.f64 (/.f64 x y) -1)))
(+.f64 0 (*.f64 2 (/.f64 x (-.f64 x y))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 x y))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 x y))))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 x y))))) 1)
(*.f64 x (/.f64 2 (-.f64 x y)))
(.f64 x (/.f64 1 (.f64 (-.f64 x y) 1/2)))
(*.f64 x (/.f64 2 (-.f64 x y)))
(.f64 x (.f64 2 (/.f64 1 (-.f64 x y))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(*.f64 2 (/.f64 x (-.f64 x y)))
(*.f64 x (/.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (/.f64 1 (-.f64 x y))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 x y)))
(*.f64 x (/.f64 2 (-.f64 x y)))
(.f64 (.f64 2 (/.f64 x (-.f64 x y))) 1)
(*.f64 x (/.f64 2 (-.f64 x y)))
(.f64 1 (.f64 2 (/.f64 x (-.f64 x y))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (-.f64 x y)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x x)) -2)))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 x y)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x x)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x x)) -2)) (cbrt.f64 (.f64 2 (/.f64 x (-.f64 x y)))))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 x y)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x x)) -2)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (.f64 (cbrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 x y))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(.f64 (sqrt.f64 (.f64 2 (/.f64 x (-.f64 x y)))) (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(.f64 (sqrt.f64 (+.f64 x x)) (.f64 (sqrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 x y))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x x))
(*.f64 x (/.f64 2 (-.f64 x y)))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 x y)))
(*.f64 x (/.f64 2 (-.f64 x y)))
(*.f64 (/.f64 x (-.f64 x y)) 2)
(*.f64 x (/.f64 2 (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (-.f64 x y)))
(*.f64 x (/.f64 2 (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (-.f64 x y)))
(*.f64 x (/.f64 2 (-.f64 x y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 2 (cbrt.f64 (-.f64 x y))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 x (cbrt.f64 (-.f64 x y))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) -2) (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 x y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (.f64 2 (/.f64 x (-.f64 x y)))))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (-.f64 x y))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 x y))) (/.f64 2 (sqrt.f64 (-.f64 x y))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 x y))) (/.f64 x (sqrt.f64 (-.f64 x y))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(*.f64 (pow.f64 (-.f64 x y) -1/2) (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (-.f64 x y))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(.f64 (/.f64 (+.f64 x x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 x y))))
(.f64 (/.f64 2 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) x)) (fma.f64 x x (.f64 y (+.f64 x y))))
(/.f64 (+.f64 x x) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(.f64 (/.f64 (+.f64 x x) (.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(*.f64 x (/.f64 2 (-.f64 x y)))
(pow.f64 (*.f64 2 (/.f64 x (-.f64 x y))) 1)
(*.f64 x (/.f64 2 (-.f64 x y)))
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x x)) -2) 1/2)
(*.f64 x (/.f64 2 (-.f64 x y)))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 x y))) 3) 1/3)
(*.f64 x (/.f64 2 (-.f64 x y)))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 x y)))) 3)
(*.f64 x (/.f64 2 (-.f64 x y)))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 x y)))) 2)
(*.f64 x (/.f64 2 (-.f64 x y)))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x x)) -1)
(*.f64 x (/.f64 2 (-.f64 x y)))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(pow.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 x y) 3)) 1/3)
(*.f64 x (/.f64 2 (-.f64 x y)))
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x x)) 1) -1)
(*.f64 x (/.f64 2 (-.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (/.f64 x (-.f64 x y))))) 2)) (cbrt.f64 (log.f64 (.f64 2 (/.f64 x (-.f64 x y))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (/.f64 2 (-.f64 x y))))) 2)) (cbrt.f64 (log.f64 (.f64 x (/.f64 2 (-.f64 x y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 2 (/.f64 x (-.f64 x y)))))) (sqrt.f64 (log.f64 (.f64 2 (/.f64 x (-.f64 x y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (/.f64 2 (-.f64 x y)))))) (sqrt.f64 (log.f64 (.f64 x (/.f64 2 (-.f64 x y))))))
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (-.f64 x y))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x x)) -2))
(*.f64 x (/.f64 2 (-.f64 x y)))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 x y))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 x y))))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 x y))) 3))
(*.f64 x (/.f64 2 (-.f64 x y)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 x y) 3)))
(*.f64 x (/.f64 2 (-.f64 x y)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 x y)))))
(*.f64 x (/.f64 2 (-.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 x (-.f64 x y)))) 1))
(*.f64 x (/.f64 2 (-.f64 x y)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 2 (/.f64 x (-.f64 x y))))) 1/3))
(*.f64 x (/.f64 2 (-.f64 x y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (/.f64 x (-.f64 x y))))) 3))
(*.f64 x (/.f64 2 (-.f64 x y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (/.f64 x (-.f64 x y))))) 2))
(*.f64 x (/.f64 2 (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x x))) -1))
(*.f64 x (/.f64 2 (-.f64 x y)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 x y)))) 1) 1))
(*.f64 x (/.f64 2 (-.f64 x y)))

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.3b	(/.f64 x (+.f64 (/.f64 (/.f64 x 2) y) -1/2))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`log-prod_binary64`
391×	`exp-prod_binary64`
290×	`pow-prod-down_binary64`
275×	`pow2_binary64`
206×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	212	13
2	2963	13

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -2)) (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) (sqrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 1 (+.f64 1/2 (neg.f64 (/.f64 x (/.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) -2) (/.f64 x (cbrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 2)) (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) -1/2) (/.f64 x (sqrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 -1/8 (pow.f64 (/.f64 x (/.f64 y 1/2)) 3))) (+.f64 (pow.f64 (/.f64 x (/.f64 y 1/2)) 2) (-.f64 1/4 (.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 (pow.f64 (/.f64 x (/.f64 y 1/2)) 2) -1/4)) (+.f64 (/.f64 x (/.f64 y 1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 1/2 (neg.f64 (/.f64 x (/.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 1) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -2)) (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) (sqrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 1/2 (neg.f64 (/.f64 x (/.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) -2) (/.f64 x (cbrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 2)) (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) -1/2) (/.f64 x (sqrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1/8 (pow.f64 (/.f64 x (/.f64 y 1/2)) 3))) (+.f64 (pow.f64 (/.f64 x (/.f64 y 1/2)) 2) (-.f64 1/4 (*.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 (/.f64 x (/.f64 y 1/2)) 2) -1/4)) (+.f64 (/.f64 x (/.f64 y 1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 1/2 (neg.f64 (/.f64 x (/.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 1) 1))))))

simplify58.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

431×	`associate-/l*_binary64`
429×	`fma-def_binary64`
378×	`times-frac_binary64`
354×	`log-prod_binary64`
330×	`log-div_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	1419
1	435	1257
2	1371	1206
3	6333	1182

Stop Event

1×	node limit

Counts

73 → 111

Calls

Call 1

Inputs
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.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 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 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 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 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 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(+.f64 0 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 1)
(*.f64 x (/.f64 1 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))
(*.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 1)
(*.f64 1 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -2)) (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) (sqrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 1/2 (neg.f64 (/.f64 x (/.f64 y 1/2))))))
(*.f64 (/.f64 1 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) -2) (/.f64 x (cbrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 2)) (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(*.f64 (pow.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) -1/2) (/.f64 x (sqrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(.f64 (/.f64 x (+.f64 -1/8 (pow.f64 (/.f64 x (/.f64 y 1/2)) 3))) (+.f64 (pow.f64 (/.f64 x (/.f64 y 1/2)) 2) (-.f64 1/4 (.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (/.f64 x (/.f64 y 1/2)) 2) -1/4)) (+.f64 (/.f64 x (/.f64 y 1/2)) 1/2))
(pow.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 2)
(pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))
(neg.f64 (/.f64 x (+.f64 1/2 (neg.f64 (/.f64 x (/.f64 y 1/2))))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -2))
(log.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(exp.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 1) 1))

Outputs
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(.f64 -2 (+.f64 (/.f64 (.f64 x x) y) x))
(.f64 -2 (+.f64 x (/.f64 (.f64 x x) y)))
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(/.f64 x (*.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (sqrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2))))
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(.f64 (/.f64 x (+.f64 -1/8 (pow.f64 (.f64 (/.f64 x y) 1/2) 3))) (+.f64 (pow.f64 (.f64 (/.f64 x y) 1/2) 2) (-.f64 1/4 (/.f64 (.f64 x -1/2) (/.f64 y 1/2)))))
(.f64 (/.f64 x (+.f64 -1/8 (pow.f64 (.f64 1/2 (/.f64 x y)) 3))) (+.f64 (pow.f64 (.f64 1/2 (/.f64 x y)) 2) (-.f64 1/4 (.f64 (/.f64 x y) -1/4))))
(.f64 (/.f64 x (fma.f64 (pow.f64 (/.f64 x y) 3) 1/8 -1/8)) (+.f64 1/4 (.f64 (+.f64 1 (/.f64 x y)) (*.f64 (/.f64 x y) 1/4))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (/.f64 x (/.f64 y 1/2)) 2) -1/4)) (+.f64 (/.f64 x (/.f64 y 1/2)) 1/2))
(.f64 (/.f64 x (+.f64 (pow.f64 (.f64 (/.f64 x y) 1/2) 2) -1/4)) (+.f64 1/2 (*.f64 (/.f64 x y) 1/2)))
(.f64 (/.f64 x (+.f64 (pow.f64 (.f64 1/2 (/.f64 x y)) 2) -1/4)) (fma.f64 (/.f64 x y) 1/2 1/2))
(.f64 (/.f64 x (+.f64 (pow.f64 (/.f64 (.f64 x 1/2) y) 2) -1/4)) (fma.f64 1/2 (/.f64 x y) 1/2))
(pow.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 1)
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -2) 1/2)
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(pow.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 3) 1/3)
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 3)
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 2)
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -1)
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) 3)) 1/3)
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) 1) -1)
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 (.f64 (/.f64 x y) 1/2) -1/2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (+.f64 (.f64 (/.f64 x y) 1/2) -1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 (.f64 (/.f64 x y) 1/2) -1/2))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 (.f64 (/.f64 x y) 1/2) -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2)))))
(neg.f64 (/.f64 x (+.f64 1/2 (neg.f64 (/.f64 x (/.f64 y 1/2))))))
(.f64 (neg.f64 x) (/.f64 1 (-.f64 1/2 (.f64 (/.f64 x y) 1/2))))
(/.f64 (neg.f64 x) (-.f64 1/2 (*.f64 1/2 (/.f64 x y))))
(/.f64 (neg.f64 x) (fma.f64 (/.f64 x y) -1/2 1/2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x) -2))
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(log.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))))
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)) 3))
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) 3)))
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(exp.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))))
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 1))
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 1/3))
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 3))
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2)))) 2))
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2) x)) -1))
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 y 1/2)) -1/2))) 1) 1))
(/.f64 x (+.f64 (*.f64 (/.f64 x y) 1/2) -1/2))
(/.f64 x (fma.f64 (/.f64 x y) 1/2 -1/2))
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))

eval206.0ms (7.5%)

Compiler: Compiled 4548 to 2480 computations (45.5% saved)

prune54.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	272	3	275
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	272	5	277

Error

Counts

277 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.3b	(/.f64 x (+.f64 (/.f64 (/.f64 x 2) y) -1/2))
▶	7.4b	(/.f64 2 (/.f64 (+.f64 (/.f64 x y) -1) x))
▶	32.7b	(+.f64 y y)
✓	8.7b	(.f64 (/.f64 (.f64 x 2) (-.f64 x y)) y)
▶	30.4b	(*.f64 -2 x)

Compiler

Compiled 43 to 30 computations (30.2% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize3.0ms (0.1%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize24.0ms (0.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 2 (/.f64 (+.f64 (/.f64 x y) -1) x))
✓	7.3b	(/.f64 (+.f64 (/.f64 x y) -1) x)

Compiler

Compiled 30 to 15 computations (50% saved)

series6.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite56.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`log-prod_binary64`
393×	`exp-prod_binary64`
273×	`pow-prod-down_binary64`
269×	`pow2_binary64`
196×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	205	23
2	2849	23

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

788×	`fma-def_binary64`
495×	`associate-/r*_binary64`
480×	`associate-/l*_binary64`
480×	`times-frac_binary64`
337×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	2039
1	580	1975
2	1965	1936

Stop Event

1×	node limit

Counts

136 → 156

Calls

Call 1

Inputs
(/.f64 -1 x)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.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 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 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 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 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 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(*.f64 -2 x)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) (.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))
(+.f64 0 (/.f64 (+.f64 (/.f64 x y) -1) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) 1)
(*.f64 (+.f64 (/.f64 x y) -1) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1)
(*.f64 1 (/.f64 (+.f64 (/.f64 x y) -1) x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(*.f64 (neg.f64 (+.f64 (/.f64 x y) -1)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 (/.f64 x y) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (+.f64 (/.f64 x y) -1) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 (/.f64 x y) -1) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 x)))
(pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1)
(pow.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 2)
(pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))
(neg.f64 (/.f64 (+.f64 (/.f64 x y) -1) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x y) -1))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 1) 1))
(+.f64 0 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (+.f64 (/.f64 x y) -1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (+.f64 (/.f64 x y) -1))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (+.f64 (/.f64 x y) -1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (+.f64 (/.f64 x y) -1))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))) 1)
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 2 (/.f64 x (+.f64 (/.f64 x y) -1)))
(.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 1)
(.f64 1 (.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) (cbrt.f64 (/.f64 4 (pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -2))))
(.f64 (cbrt.f64 (/.f64 4 (pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -2))) (cbrt.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(.f64 (sqrt.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) (sqrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(*.f64 -2 (/.f64 1 (/.f64 (neg.f64 (+.f64 (/.f64 x y) -1)) x)))
(*.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) 2)
(*.f64 (/.f64 2 (+.f64 (/.f64 x y) -1)) x)
(*.f64 (/.f64 2 (neg.f64 (+.f64 (/.f64 x y) -1))) (neg.f64 x))
(.f64 (.f64 (/.f64 2 (+.f64 (/.f64 x y) -1)) 1) x)
(.f64 (.f64 (/.f64 2 (+.f64 (/.f64 x y) -1)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (/.f64 2 (+.f64 (/.f64 x y) -1)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 1)
(pow.f64 (/.f64 4 (pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -2)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 2)
(pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))) 2)) (cbrt.f64 (log.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))) (sqrt.f64 (log.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))))
(sqrt.f64 (/.f64 4 (pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -2)))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 x (+.f64 (/.f64 x y) -1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 1) 1))

Outputs
(/.f64 -1 x)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(/.f64 -1 x)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(/.f64 -1 x)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(.f64 -2 (+.f64 (/.f64 (.f64 x x) y) x))
(*.f64 -2 (+.f64 x (/.f64 x (/.f64 y x))))
(.f64 -2 (+.f64 x (.f64 (/.f64 x y) x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x)))
(.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (.f64 y y))))
(.f64 -2 (+.f64 x (.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -2 (+.f64 x (.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) 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 (/.f64 y x) y)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(fma.f64 2 y (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (*.f64 y y) x))))
(.f64 2 (+.f64 y (+.f64 (/.f64 (.f64 y y) x) (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(.f64 2 (+.f64 (.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) y))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 2 y (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (*.f64 y y) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 2 (+.f64 y (+.f64 (/.f64 (.f64 y y) x) (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(.f64 2 (+.f64 (.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) 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 (/.f64 y x) y)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(fma.f64 2 y (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (*.f64 y y) x))))
(.f64 2 (+.f64 y (+.f64 (/.f64 (.f64 y y) x) (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(.f64 2 (+.f64 (.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) y))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 2 y (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (*.f64 y y) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 2 (+.f64 y (+.f64 (/.f64 (.f64 y y) x) (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(.f64 2 (+.f64 (.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) 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 (/.f64 y x) y)))
(+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 2) x))))
(fma.f64 2 y (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (*.f64 y y) x))))
(.f64 2 (+.f64 y (+.f64 (/.f64 (.f64 y y) x) (/.f64 (pow.f64 y 3) (*.f64 x x)))))
(.f64 2 (+.f64 (.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) y))
(+.f64 (.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 2 y) (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 2 (/.f64 (pow.f64 y 2) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 2 y (.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (*.f64 y y) x)))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 2 (+.f64 y (+.f64 (/.f64 (.f64 y y) x) (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(.f64 2 (+.f64 (.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) y)))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(.f64 -2 (+.f64 (/.f64 (.f64 x x) y) x))
(*.f64 -2 (+.f64 x (/.f64 x (/.f64 y x))))
(.f64 -2 (+.f64 x (.f64 (/.f64 x y) x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x)))
(.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (.f64 y y))))
(.f64 -2 (+.f64 x (.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -2 (+.f64 x (.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x)))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))
(.f64 -2 (+.f64 (/.f64 (.f64 x x) y) x))
(*.f64 -2 (+.f64 x (/.f64 x (/.f64 y x))))
(.f64 -2 (+.f64 x (.f64 (/.f64 x y) x)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 x)))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x)))
(.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (.f64 y y))))
(.f64 -2 (+.f64 x (.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) y)) (.f64 -2 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -2 (+.f64 (/.f64 (*.f64 x x) y) x))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -2 (+.f64 (+.f64 x (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (.f64 y y)))))
(fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 -2 (+.f64 x (.f64 (+.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) x)))))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) (.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(+.f64 0 (/.f64 (+.f64 (/.f64 x y) -1) x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1 (/.f64 x y)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1 (/.f64 x y)) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1 (/.f64 x y)) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 -1 x) (/.f64 1 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) 1)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(*.f64 (+.f64 (/.f64 x y) -1) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(*.f64 1 (/.f64 (+.f64 (/.f64 x y) -1) x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (/.f64 1 x)))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 x y)) x)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 -1 (/.f64 x y))) -2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) (/.f64 1 y))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -1 x) (/.f64 1 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 x y)) x)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 -1 (/.f64 x y))) -2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) (/.f64 1 y))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -1 x) (/.f64 1 y)) 2)))
(.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (/.f64 1 x)))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(*.f64 (neg.f64 (+.f64 (/.f64 x y) -1)) (/.f64 1 (neg.f64 x)))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 y))
(*.f64 (/.f64 1 x) (+.f64 (/.f64 x y) -1))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 x 2) (+.f64 -1 (/.f64 x y)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 x 2) (+.f64 -1 (/.f64 x y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 2 (/.f64 x (+.f64 -1 (/.f64 x y))))))) (sqrt.f64 (log.f64 (.f64 2 (/.f64 x (+.f64 -1 (/.f64 x y)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 -1/2 (.f64 (/.f64 x y) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 -1/2 (.f64 (/.f64 x y) 1/2))))))
(sqrt.f64 (/.f64 4 (pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -2)))
(sqrt.f64 (/.f64 4 (pow.f64 (/.f64 x (+.f64 -1 (/.f64 x y))) -2)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 -1/2 (*.f64 (/.f64 x y) 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 x (+.f64 (/.f64 x y) -1))))
(/.f64 (*.f64 x 2) (+.f64 -1 (/.f64 x y)))
(*.f64 2 (/.f64 x (+.f64 -1 (/.f64 x y))))
(/.f64 x (+.f64 -1/2 (*.f64 (/.f64 x y) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))))
(/.f64 (*.f64 x 2) (+.f64 -1 (/.f64 x y)))
(*.f64 2 (/.f64 x (+.f64 -1 (/.f64 x y))))
(/.f64 x (+.f64 -1/2 (*.f64 (/.f64 x y) 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 3))
(/.f64 (*.f64 x 2) (+.f64 -1 (/.f64 x y)))
(*.f64 2 (/.f64 x (+.f64 -1 (/.f64 x y))))
(/.f64 x (+.f64 -1/2 (*.f64 (/.f64 x y) 1/2)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(/.f64 (*.f64 x 2) (+.f64 -1 (/.f64 x y)))
(*.f64 2 (/.f64 x (+.f64 -1 (/.f64 x y))))
(/.f64 x (+.f64 -1/2 (*.f64 (/.f64 x y) 1/2)))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(/.f64 (*.f64 x 2) (+.f64 -1 (/.f64 x y)))
(*.f64 2 (/.f64 x (+.f64 -1 (/.f64 x y))))
(/.f64 x (+.f64 -1/2 (*.f64 (/.f64 x y) 1/2)))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(/.f64 (*.f64 x 2) (+.f64 -1 (/.f64 x y)))
(*.f64 2 (/.f64 x (+.f64 -1 (/.f64 x y))))
(/.f64 x (+.f64 -1/2 (*.f64 (/.f64 x y) 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 1))
(/.f64 (*.f64 x 2) (+.f64 -1 (/.f64 x y)))
(*.f64 2 (/.f64 x (+.f64 -1 (/.f64 x y))))
(/.f64 x (+.f64 -1/2 (*.f64 (/.f64 x y) 1/2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))) 1/3))
(/.f64 (*.f64 x 2) (+.f64 -1 (/.f64 x y)))
(*.f64 2 (/.f64 x (+.f64 -1 (/.f64 x y))))
(/.f64 x (+.f64 -1/2 (*.f64 (/.f64 x y) 1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))) 3))
(/.f64 (*.f64 x 2) (+.f64 -1 (/.f64 x y)))
(*.f64 2 (/.f64 x (+.f64 -1 (/.f64 x y))))
(/.f64 x (+.f64 -1/2 (*.f64 (/.f64 x y) 1/2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))) 2))
(/.f64 (*.f64 x 2) (+.f64 -1 (/.f64 x y)))
(*.f64 2 (/.f64 x (+.f64 -1 (/.f64 x y))))
(/.f64 x (+.f64 -1/2 (*.f64 (/.f64 x y) 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) -1))
(/.f64 (*.f64 x 2) (+.f64 -1 (/.f64 x y)))
(*.f64 2 (/.f64 x (+.f64 -1 (/.f64 x y))))
(/.f64 x (+.f64 -1/2 (*.f64 (/.f64 x y) 1/2)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 1) 1))
(/.f64 (*.f64 x 2) (+.f64 -1 (/.f64 x y)))
(*.f64 2 (/.f64 x (+.f64 -1 (/.f64 x y))))
(/.f64 x (+.f64 -1/2 (*.f64 (/.f64 x y) 1/2)))

eval46.0ms (1.7%)

Compiler: Compiled 2453 to 1560 computations (36.4% saved)

prune24.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	155	6	161

Error

Counts

161 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.3b	(/.f64 x (+.f64 (/.f64 (/.f64 x 2) y) -1/2))
✓	7.4b	(/.f64 2 (/.f64 (+.f64 (/.f64 x y) -1) x))
▶	30.5b	(/.f64 2 (/.f64 -1 x))
✓	32.7b	(+.f64 y y)
✓	8.7b	(.f64 (/.f64 (.f64 x 2) (-.f64 x y)) y)
✓	30.4b	(*.f64 -2 x)

Compiler

Compiled 50 to 36 computations (28% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 2 (/.f64 -1 x))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 2 (/.f64 -1 x))
0.0ms	x	@	inf	(/.f64 2 (/.f64 -1 x))
0.0ms	x	@	-inf	(/.f64 2 (/.f64 -1 x))

rewrite63.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`pow1_binary64`
514×	`add-log-exp_binary64`
514×	`log1p-expm1-u_binary64`
514×	`expm1-log1p-u_binary64`
504×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	130	4
2	1528	4

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify35.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

579×	`log-prod_binary64`
521×	`distribute-rgt-in_binary64`
499×	`distribute-lft-in_binary64`
425×	`associate-l_binary64`
388×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	144
1	131	144
2	432	144
3	3151	144

Stop Event

1×	node limit

Counts

36 → 24

Calls

Call 1

Inputs
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(-.f64 (+.f64 1 (*.f64 x -2)) 1)
(*.f64 2 (neg.f64 x))
(*.f64 x -2)
(.f64 (.f64 x -2) 1)
(.f64 1 (.f64 x -2))
(.f64 (cbrt.f64 (.f64 x -2)) (pow.f64 (cbrt.f64 (*.f64 x -2)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x -2)) 2) (cbrt.f64 (*.f64 x -2)))
(.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (*.f64 x -2)))
(*.f64 -2 x)
(*.f64 -2 (/.f64 1 (/.f64 1 x)))
(*.f64 (neg.f64 x) 2)
(.f64 (.f64 -2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 -2 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x -2) 1)
(pow.f64 (pow.f64 (*.f64 x -2) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x -2)) 3)
(pow.f64 (sqrt.f64 (*.f64 x -2)) 2)
(pow.f64 (*.f64 (/.f64 -1 x) 1/2) -1)
(sqrt.f64 (.f64 4 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -2) x))
(cbrt.f64 (pow.f64 (*.f64 x -2) 3))
(expm1.f64 (log1p.f64 (*.f64 x -2)))
(log1p.f64 (expm1.f64 (*.f64 x -2)))
(exp.f64 (log.f64 (*.f64 x -2)))

Outputs
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(-.f64 (+.f64 1 (*.f64 x -2)) 1)
(*.f64 -2 x)
(*.f64 2 (neg.f64 x))
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(.f64 (.f64 x -2) 1)
(*.f64 -2 x)
(.f64 1 (.f64 x -2))
(*.f64 -2 x)
(.f64 (cbrt.f64 (.f64 x -2)) (pow.f64 (cbrt.f64 (*.f64 x -2)) 2))
(*.f64 -2 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x -2)) 2) (cbrt.f64 (*.f64 x -2)))
(*.f64 -2 x)
(.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (*.f64 x -2)))
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 (/.f64 1 (/.f64 1 x)))
(*.f64 -2 x)
(*.f64 (neg.f64 x) 2)
(*.f64 -2 x)
(.f64 (.f64 -2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -2 x)
(.f64 (.f64 -2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 -2 x)
(pow.f64 (*.f64 x -2) 1)
(*.f64 -2 x)
(pow.f64 (pow.f64 (*.f64 x -2) 3) 1/3)
(*.f64 -2 x)
(pow.f64 (cbrt.f64 (*.f64 x -2)) 3)
(*.f64 -2 x)
(pow.f64 (sqrt.f64 (*.f64 x -2)) 2)
(*.f64 -2 x)
(pow.f64 (*.f64 (/.f64 -1 x) 1/2) -1)
(*.f64 -2 x)
(sqrt.f64 (.f64 4 (.f64 x x)))
(*.f64 -2 x)
(log.f64 (pow.f64 (exp.f64 -2) x))
(*.f64 -2 x)
(cbrt.f64 (pow.f64 (*.f64 x -2) 3))
(*.f64 -2 x)
(expm1.f64 (log1p.f64 (*.f64 x -2)))
(*.f64 -2 x)
(log1p.f64 (expm1.f64 (*.f64 x -2)))
(*.f64 -2 x)
(exp.f64 (log.f64 (*.f64 x -2)))
(*.f64 -2 x)

eval4.0ms (0.2%)

Compiler: Compiled 150 to 117 computations (22% saved)

prune20.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	24	6	30

Error

Counts

30 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.3b	(/.f64 x (+.f64 (/.f64 (/.f64 x 2) y) -1/2))
✓	7.4b	(/.f64 2 (/.f64 (+.f64 (/.f64 x y) -1) x))
✓	30.5b	(/.f64 2 (/.f64 -1 x))
✓	32.7b	(+.f64 y y)
✓	8.7b	(.f64 (/.f64 (.f64 x 2) (-.f64 x y)) y)
✓	30.4b	(*.f64 -2 x)

Compiler

Compiled 50 to 36 computations (28% saved)

regimes52.0ms (1.9%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
15.0ms	y
13.0ms	x

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	3	`y`
0.4b	5	`(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))`

Compiler

Compiled 66 to 41 computations (37.9% saved)

bsearch12.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
2.0ms	1.562106311926405e-21	4.6967424422102845e-14
10.0ms	-2.634465603123092e+21	-8993121980075950.0

Results

10.0ms

112×

body

256

valid

Compiler

Compiled 184 to 130 computations (29.3% saved)

regimes30.0ms (1.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	y
12.0ms	x

Results

Error	Segments	Branch
0.1b	3	`x`
0.1b	3	`y`

Compiler

Compiled 37 to 24 computations (35.1% saved)

bsearch27.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
2.0ms	68188.92572819827	11466206.611363215
25.0ms	-2.634465603123092e+21	-8993121980075950.0

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 208 to 147 computations (29.3% saved)

regimes25.0ms (0.9%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
10.0ms	y

Results

Error	Segments	Branch
3.3b	3	`x`
3.6b	3	`y`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch32.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	3.989492208169535e-98	4.186618758387032e-89
17.0ms	-9.075975051021012e-164	-1.4714925661601707e-170

Results

28.0ms

288×

body

256

valid

Compiler

Compiled 340 to 245 computations (27.9% saved)

regimes38.0ms (1.4%)

Accuracy

Total -50.1b remaining (-425.5%)

Threshold costs -50.1b (-425.5%)

Counts

3 → 7

Calls

Call 1

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

Outputs
(+.f64 y y)
(*.f64 -2 x)
(+.f64 y y)
(*.f64 -2 x)
(+.f64 y y)
(*.f64 -2 x)
(+.f64 y y)

Calls

2 calls:

26.0ms	x
12.0ms	y

Results

Error	Segments	Branch
11.8b	7	`x`
12.8b	3	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch81.0ms (2.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	1.6820398436259388e+139	5.754688783548219e+163
13.0ms	1.708139658127562e+113	6.618717156514166e+114
13.0ms	111700981177186600.0	4.010579127699517e+19
11.0ms	3.787515381097198e-34	4.954433138637002e-33
15.0ms	3.989492208169535e-98	4.186618758387032e-89
11.0ms	-7.10008009365861e-25	-8.830916217195078e-26

Results

71.0ms

752×

body

256

valid

Compiler

Compiled 580 to 434 computations (25.2% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`*-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	58	212
1	65	212
2	69	212
3	71	212
4	72	212

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y -2000000000000000000000) (/.f64 x (+.f64 (/.f64 (/.f64 x 2) y) -1/2)) (if (<=.f64 y 5316911983139663/2658455991569831745807614120560689152) (.f64 (/.f64 (.f64 x 2) (-.f64 x y)) y) (/.f64 x (+.f64 (/.f64 (/.f64 x 2) y) -1/2))))
(if (<=.f64 y -1000000000000000000000) (/.f64 2 (/.f64 (+.f64 (/.f64 x y) -1) x)) (if (<=.f64 y 100000) (.f64 (/.f64 (.f64 x 2) (-.f64 x y)) y) (/.f64 2 (/.f64 (+.f64 (/.f64 x y) -1) x))))
(if (<=.f64 x -2821670586839075/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) (.f64 (/.f64 (.f64 x 2) (-.f64 x y)) y) (if (<=.f64 x 6156563468186637/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (.f64 -2 x) (.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) y)))
(if (<=.f64 x -5988969657808517/10889035741470030830827987437816582766592) (+.f64 y y) (if (<=.f64 x 2938545101737279/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (.f64 -2 x) (if (<=.f64 x 191822089899681/182687704666362864775460604089535377456991567872) (+.f64 y y) (if (<=.f64 x 760000000000000000) (.f64 -2 x) (if (<=.f64 x 650000000000000010113620484153447965774330907998689931690350877280041957757091207122240503444780840989534082564096) (+.f64 y y) (if (<=.f64 x 20999999999999998706504905902557650802981339795238726120544533058590029290928162083206653919248238190795308281324916604377982228248366415872) (*.f64 -2 x) (+.f64 y y)))))))
(*.f64 -2 x)

Outputs
(if (<=.f64 y -2000000000000000000000) (/.f64 x (+.f64 (/.f64 (/.f64 x 2) y) -1/2)) (if (<=.f64 y 5316911983139663/2658455991569831745807614120560689152) (.f64 (/.f64 (.f64 x 2) (-.f64 x y)) y) (/.f64 x (+.f64 (/.f64 (/.f64 x 2) y) -1/2))))
(if (<=.f64 y -2000000000000000000000) (/.f64 x (+.f64 (/.f64 (/.f64 x 2) y) -1/2)) (if (<=.f64 y 5316911983139663/2658455991569831745807614120560689152) (.f64 y (/.f64 (.f64 x 2) (-.f64 x y))) (/.f64 x (+.f64 (/.f64 (/.f64 x 2) y) -1/2))))
(if (<=.f64 y -1000000000000000000000) (/.f64 2 (/.f64 (+.f64 (/.f64 x y) -1) x)) (if (<=.f64 y 100000) (.f64 (/.f64 (.f64 x 2) (-.f64 x y)) y) (/.f64 2 (/.f64 (+.f64 (/.f64 x y) -1) x))))
(if (<=.f64 y -1000000000000000000000) (/.f64 2 (/.f64 (+.f64 (/.f64 x y) -1) x)) (if (<=.f64 y 100000) (.f64 y (/.f64 (.f64 x 2) (-.f64 x y))) (/.f64 2 (/.f64 (+.f64 (/.f64 x y) -1) x))))
(if (<=.f64 x -2821670586839075/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) (.f64 (/.f64 (.f64 x 2) (-.f64 x y)) y) (if (<=.f64 x 6156563468186637/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (.f64 -2 x) (.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) y)))
(if (<=.f64 x -2821670586839075/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) (.f64 y (/.f64 (.f64 x 2) (-.f64 x y))) (if (<=.f64 x 6156563468186637/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (.f64 x -2) (.f64 y (/.f64 (*.f64 x 2) (-.f64 x y)))))
(if (<=.f64 x -5988969657808517/10889035741470030830827987437816582766592) (+.f64 y y) (if (<=.f64 x 2938545101737279/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (.f64 -2 x) (if (<=.f64 x 191822089899681/182687704666362864775460604089535377456991567872) (+.f64 y y) (if (<=.f64 x 760000000000000000) (.f64 -2 x) (if (<=.f64 x 650000000000000010113620484153447965774330907998689931690350877280041957757091207122240503444780840989534082564096) (+.f64 y y) (if (<=.f64 x 20999999999999998706504905902557650802981339795238726120544533058590029290928162083206653919248238190795308281324916604377982228248366415872) (*.f64 -2 x) (+.f64 y y)))))))
(if (<=.f64 x -5988969657808517/10889035741470030830827987437816582766592) (+.f64 y y) (if (<=.f64 x 2938545101737279/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (.f64 x -2) (if (<=.f64 x 191822089899681/182687704666362864775460604089535377456991567872) (+.f64 y y) (if (<=.f64 x 760000000000000000) (.f64 x -2) (if (<=.f64 x 650000000000000010113620484153447965774330907998689931690350877280041957757091207122240503444780840989534082564096) (+.f64 y y) (if (<=.f64 x 20999999999999998706504905902557650802981339795238726120544533058590029290928162083206653919248238190795308281324916604377982228248366415872) (*.f64 x -2) (+.f64 y y)))))))
(*.f64 -2 x)
(*.f64 x -2)

Compiler

Compiled 157 to 99 computations (36.9% saved)

soundness224.0ms (8.1%)

Algorithm

2×	egg-herbie

Rules

546×	`times-frac_binary64`
546×	`times-frac_binary64`
408×	`fma-def_binary64`
408×	`fma-def_binary64`
350×	`neg-sub0_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	41	13
3	87	13
4	180	13
5	355	13
6	651	11
7	1409	11
8	5586	11
9	7294	11
0	8	13
1	16	13
2	41	13
3	87	13
4	180	13
5	355	13
6	651	11
7	1409	11
8	5586	11
9	7294	11

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 368 to 252 computations (31.5% saved)

end58.0ms (2.1%)

Compiler: Compiled 149 to 89 computations (40.3% saved)

Details

analyze86.0ms (3.1%)

sample1.1s (39.7%)

preprocess52.0ms (1.9%)

simplify51.0ms (1.9%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

series8.0ms (0.3%)

rewrite53.0ms (1.9%)

simplify61.0ms (2.2%)

localize11.0ms (0.4%)

series3.0ms (0.1%)

rewrite57.0ms (2.1%)

simplify58.0ms (2.1%)

eval206.0ms (7.5%)

prune54.0ms (2%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize24.0ms (0.9%)

series6.0ms (0.2%)

rewrite56.0ms (2%)

simplify65.0ms (2.4%)

eval46.0ms (1.7%)

prune24.0ms (0.9%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite63.0ms (2.3%)

simplify35.0ms (1.3%)

eval4.0ms (0.2%)

prune20.0ms (0.7%)

regimes52.0ms (1.9%)

bsearch12.0ms (0.4%)

regimes30.0ms (1.1%)

bsearch27.0ms (1%)

regimes25.0ms (0.9%)

bsearch32.0ms (1.1%)

regimes38.0ms (1.4%)

bsearch81.0ms (2.9%)

simplify9.0ms (0.3%)

soundness224.0ms (8.1%)

end58.0ms (2.1%)

Profiling