Details

analyze58.0ms (1.9%)

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
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	6
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
71.1%	71%	28.9%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
85%	84.9%	15%	0.1%	0%	0%	0%	11
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample1.1s (36.5%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess89.0ms (2.9%)

Algorithm

2×	egg-herbie

Rules

660×	`fma-neg_binary64`
448×	`div-sub_binary64`
424×	`times-frac_binary64`
346×	`fma-def_binary64`
243×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	14	20
2	22	20
3	34	20
4	56	20
5	116	20
6	162	20
7	288	20
8	701	20
9	2487	20
10	3728	20
11	4182	20
12	4392	20
13	4500	20
14	4554	20
15	4554	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify83.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

516×	`fma-neg_binary64`
439×	`fma-def_binary64`
369×	`times-frac_binary64`
361×	`div-sub_binary64`
148×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	9	10
2	14	10
3	21	10
4	31	10
5	54	10
6	91	10
7	135	10
8	216	10
9	445	10
10	1154	10
11	1880	10
12	2771	10
13	3218	10
14	3374	10
15	3396	10
16	3416	10
17	3416	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series5.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

887×	`pow1_binary64`
828×	`add-log-exp_binary64`
828×	`log1p-expm1-u_binary64`
828×	`expm1-log1p-u_binary64`
811×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	140	10
2	2163	10

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify36.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

903×	`times-frac_binary64`
689×	`fma-def_binary64`
593×	`associate-/l*_binary64`
438×	`associate-/r*_binary64`
297×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1091
1	494	941
2	1818	731

Stop Event

1×	node limit

Counts

57 → 76

Calls

Call 1

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

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

eval17.0ms (0.5%)

Compiler: Compiled 1176 to 499 computations (57.6% saved)

prune37.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	6	77

Error

Counts

77 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
▶	31.7b	(-.f64 (*.f64 -2 (/.f64 x y)) 1)
▶	1.4b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
▶	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
	31.8b	1
	32.5b	-1

Compiler

Compiled 54 to 36 computations (33.3% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series7.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`pow1_binary64`
889×	`add-log-exp_binary64`
889×	`log1p-expm1-u_binary64`
889×	`expm1-log1p-u_binary64`
84×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	156	12
2	2341	12

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))

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

Outputs

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

simplify43.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

951×	`times-frac_binary64`
600×	`fma-def_binary64`
517×	`associate-/r*_binary64`
456×	`associate-/l*_binary64`
197×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	1174
1	489	1072
2	1627	998

Stop Event

1×	node limit

Counts

44 → 76

Calls

Call 1

Inputs
(exp.f64 -1)
(+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (exp.f64 -1))
(+.f64 (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (exp.f64 -1)))
(+.f64 (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 4)) (pow.f64 y 4))))))
(exp.f64 1)
(+.f64 (/.f64 (.f64 (-.f64 y (.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y)))) (exp.f64 1)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 y (*.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 y (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (+.f64 (.f64 1/6 (pow.f64 (-.f64 y (.f64 -1 y)) 3)) (.f64 (pow.f64 y 2) (-.f64 y (.f64 -1 y))))) (exp.f64 1)) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y)))) (exp.f64 1)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 y (.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1))))
(exp.f64 1)
(+.f64 (/.f64 (.f64 (-.f64 y (.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y)))) (exp.f64 1)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 y (*.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y)))) (exp.f64 1)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 y (.f64 -1 y)) (exp.f64 1)) x) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (-.f64 y (.f64 -1 y)) 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (-.f64 y (.f64 -1 y)))) (.f64 -1 (.f64 y (pow.f64 (-.f64 y (*.f64 -1 y)) 2))))) (exp.f64 1)) (pow.f64 x 3))) (exp.f64 1))))
(exp.f64 1)
(+.f64 (.f64 2 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 1)) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1)))
(+.f64 (.f64 22/3 (/.f64 (.f64 (pow.f64 y 3) (exp.f64 1)) (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 1)) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1))))
(exp.f64 -1)
(+.f64 (/.f64 (.f64 (exp.f64 -1) (-.f64 (.f64 -1 x) x)) y) (exp.f64 -1))
(+.f64 (/.f64 (.f64 (exp.f64 -1) (-.f64 (.f64 -1 x) x)) y) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 x) x) 2)) (.f64 (-.f64 (*.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (exp.f64 -1)))
(+.f64 (/.f64 (.f64 (exp.f64 -1) (-.f64 (.f64 -1 x) x)) y) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 x) x) 2)) (.f64 (-.f64 (.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 x) x) 3)) (.f64 (pow.f64 (-.f64 (.f64 -1 x) x) 2) x)))) (pow.f64 y 3)) (exp.f64 -1))))
(exp.f64 -1)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y)) (exp.f64 -1))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (exp.f64 -1)) y)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 x (.f64 -1 x)) x)) (.f64 1/2 (pow.f64 (-.f64 x (*.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (exp.f64 -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (exp.f64 -1)) y)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 x (.f64 -1 x)) x)) (.f64 1/2 (pow.f64 (-.f64 x (.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) x)) (.f64 1/6 (pow.f64 (-.f64 x (.f64 -1 x)) 3)))) (exp.f64 -1)) (pow.f64 y 3))) (exp.f64 -1))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) 1)
(*.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(*.f64 1 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(pow.f64 (exp.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y)))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(pow.f64 (exp.f64 1) (/.f64 (+.f64 x y) (-.f64 x y)))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))

Outputs
(exp.f64 -1)
(+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (exp.f64 -1))
(fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (exp.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (exp.f64 -1)) (exp.f64 -1))
(+.f64 (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (exp.f64 -1)))
(fma.f64 2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3)) (fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (exp.f64 -1)))
(fma.f64 2/3 (*.f64 (/.f64 (exp.f64 -1) (pow.f64 y 3)) (pow.f64 x 3)) (fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (exp.f64 -1)))
(fma.f64 -2 (.f64 (/.f64 x y) (exp.f64 -1)) (fma.f64 2/3 (.f64 (pow.f64 x 3) (/.f64 (exp.f64 -1) (pow.f64 y 3))) (exp.f64 -1)))
(+.f64 (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 4)) (pow.f64 y 4))))))
(fma.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3)) (fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (pow.f64 y 4))))))
(fma.f64 2/3 (.f64 (/.f64 (exp.f64 -1) (pow.f64 y 3)) (pow.f64 x 3)) (fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (fma.f64 2/3 (.f64 (/.f64 (exp.f64 -1) (pow.f64 y 4)) (pow.f64 x 4)) (exp.f64 -1))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (/.f64 (exp.f64 -1) (pow.f64 y 3))) (fma.f64 -2 (.f64 (/.f64 x y) (exp.f64 -1)) (fma.f64 2/3 (*.f64 (pow.f64 x 4) (/.f64 (exp.f64 -1) (pow.f64 y 4))) (exp.f64 -1))))
(exp.f64 1)
(E.f64)
(+.f64 (/.f64 (.f64 (-.f64 y (.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1))
(+.f64 (E.f64) (/.f64 (-.f64 y (neg.f64 y)) (/.f64 x (E.f64))))
(fma.f64 2 (*.f64 (/.f64 y x) (E.f64)) (E.f64))
(fma.f64 (/.f64 2 (/.f64 x y)) (E.f64) (E.f64))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y)))) (exp.f64 1)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 y (*.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1)))
(+.f64 (+.f64 (E.f64) (/.f64 (-.f64 y (neg.f64 y)) (/.f64 x (E.f64)))) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 y (neg.f64 y)) 2) (.f64 y (-.f64 y (neg.f64 y)))) (/.f64 (.f64 x x) (E.f64))))
(+.f64 (fma.f64 2 (.f64 (/.f64 y x) (E.f64)) (E.f64)) (.f64 (/.f64 (E.f64) x) (/.f64 (fma.f64 y (+.f64 y y) (*.f64 1/2 (pow.f64 (+.f64 y y) 2))) x)))
(fma.f64 (/.f64 (.f64 (+.f64 y y) (+.f64 (.f64 (+.f64 y y) 1/2) y)) (*.f64 x x)) (E.f64) (fma.f64 (/.f64 2 (/.f64 x y)) (E.f64) (E.f64)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 y (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (+.f64 (.f64 1/6 (pow.f64 (-.f64 y (.f64 -1 y)) 3)) (.f64 (pow.f64 y 2) (-.f64 y (.f64 -1 y))))) (exp.f64 1)) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y)))) (exp.f64 1)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 y (.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1))))
(+.f64 (+.f64 (+.f64 (E.f64) (/.f64 (-.f64 y (neg.f64 y)) (/.f64 x (E.f64)))) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 y (neg.f64 y)) 2) (.f64 y (-.f64 y (neg.f64 y)))) (/.f64 (.f64 x x) (E.f64)))) (/.f64 (fma.f64 y (pow.f64 (-.f64 y (neg.f64 y)) 2) (fma.f64 1/6 (pow.f64 (-.f64 y (neg.f64 y)) 3) (.f64 (-.f64 y (neg.f64 y)) (.f64 y y)))) (/.f64 (pow.f64 x 3) (E.f64))))
(+.f64 (fma.f64 2 (.f64 (/.f64 y x) (E.f64)) (E.f64)) (+.f64 (.f64 (/.f64 (E.f64) x) (/.f64 (fma.f64 y (+.f64 y y) (*.f64 1/2 (pow.f64 (+.f64 y y) 2))) x)) (/.f64 (fma.f64 y (pow.f64 (+.f64 y y) 2) (fma.f64 1/6 (pow.f64 (+.f64 y y) 3) (+.f64 (pow.f64 y 3) (pow.f64 y 3)))) (/.f64 (pow.f64 x 3) (E.f64)))))
(fma.f64 (/.f64 (fma.f64 1/6 (.f64 8 (pow.f64 y 3)) (.f64 (.f64 y (+.f64 y y)) (+.f64 (+.f64 y y) y))) (pow.f64 x 3)) (E.f64) (fma.f64 (/.f64 (.f64 (+.f64 y y) (+.f64 (.f64 (+.f64 y y) 1/2) y)) (.f64 x x)) (E.f64) (fma.f64 (/.f64 2 (/.f64 x y)) (E.f64) (E.f64))))
(exp.f64 1)
(E.f64)
(+.f64 (/.f64 (.f64 (-.f64 y (.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1))
(+.f64 (E.f64) (/.f64 (-.f64 y (neg.f64 y)) (/.f64 x (E.f64))))
(fma.f64 2 (*.f64 (/.f64 y x) (E.f64)) (E.f64))
(fma.f64 (/.f64 2 (/.f64 x y)) (E.f64) (E.f64))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y)))) (exp.f64 1)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 y (*.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1)))
(+.f64 (+.f64 (E.f64) (/.f64 (-.f64 y (neg.f64 y)) (/.f64 x (E.f64)))) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 y (neg.f64 y)) 2) (.f64 y (-.f64 y (neg.f64 y)))) (/.f64 (.f64 x x) (E.f64))))
(+.f64 (fma.f64 2 (.f64 (/.f64 y x) (E.f64)) (E.f64)) (.f64 (/.f64 (E.f64) x) (/.f64 (fma.f64 y (+.f64 y y) (*.f64 1/2 (pow.f64 (+.f64 y y) 2))) x)))
(fma.f64 (/.f64 (.f64 (+.f64 y y) (+.f64 (.f64 (+.f64 y y) 1/2) y)) (*.f64 x x)) (E.f64) (fma.f64 (/.f64 2 (/.f64 x y)) (E.f64) (E.f64)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y)))) (exp.f64 1)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 y (.f64 -1 y)) (exp.f64 1)) x) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (-.f64 y (.f64 -1 y)) 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (-.f64 y (.f64 -1 y)))) (.f64 -1 (.f64 y (pow.f64 (-.f64 y (*.f64 -1 y)) 2))))) (exp.f64 1)) (pow.f64 x 3))) (exp.f64 1))))
(+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 y (neg.f64 y)) 2) (.f64 y (-.f64 y (neg.f64 y)))) (/.f64 (.f64 x x) (E.f64))) (+.f64 (/.f64 (-.f64 y (neg.f64 y)) (/.f64 x (E.f64))) (fma.f64 -1 (/.f64 (fma.f64 -1/6 (pow.f64 (-.f64 y (neg.f64 y)) 3) (fma.f64 -1 (.f64 (-.f64 y (neg.f64 y)) (.f64 y y)) (*.f64 (neg.f64 y) (pow.f64 (-.f64 y (neg.f64 y)) 2)))) (/.f64 (pow.f64 x 3) (E.f64))) (E.f64))))
(+.f64 (-.f64 (E.f64) (/.f64 (E.f64) (/.f64 (pow.f64 x 3) (fma.f64 (pow.f64 (+.f64 y y) 3) -1/6 (neg.f64 (fma.f64 (+.f64 y y) (.f64 y y) (.f64 y (pow.f64 (+.f64 y y) 2)))))))) (+.f64 (.f64 (/.f64 (+.f64 y y) x) (E.f64)) (.f64 (/.f64 (E.f64) x) (/.f64 (fma.f64 y (+.f64 y y) (*.f64 1/2 (pow.f64 (+.f64 y y) 2))) x))))
(+.f64 (E.f64) (fma.f64 (/.f64 (E.f64) x) (/.f64 (.f64 (+.f64 y y) (+.f64 (.f64 (+.f64 y y) 1/2) y)) x) (.f64 (E.f64) (-.f64 (/.f64 2 (/.f64 x y)) (/.f64 (-.f64 (.f64 (.f64 8 (pow.f64 y 3)) -1/6) (.f64 (*.f64 y (+.f64 y y)) (+.f64 (+.f64 y y) y))) (pow.f64 x 3))))))
(exp.f64 1)
(E.f64)
(+.f64 (.f64 2 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1))
(+.f64 (E.f64) (/.f64 (-.f64 y (neg.f64 y)) (/.f64 x (E.f64))))
(fma.f64 2 (*.f64 (/.f64 y x) (E.f64)) (E.f64))
(fma.f64 (/.f64 2 (/.f64 x y)) (E.f64) (E.f64))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 1)) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1)))
(fma.f64 4 (/.f64 (.f64 y y) (/.f64 (.f64 x x) (E.f64))) (fma.f64 2 (/.f64 y (/.f64 x (E.f64))) (E.f64)))
(fma.f64 4 (.f64 (/.f64 (E.f64) x) (/.f64 (.f64 y y) x)) (fma.f64 2 (*.f64 (/.f64 y x) (E.f64)) (E.f64)))
(fma.f64 4 (/.f64 (E.f64) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 2 (/.f64 x y)) (E.f64) (E.f64)))
(+.f64 (.f64 22/3 (/.f64 (.f64 (pow.f64 y 3) (exp.f64 1)) (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 1)) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1))))
(fma.f64 22/3 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 3) (E.f64))) (fma.f64 4 (/.f64 (.f64 y y) (/.f64 (.f64 x x) (E.f64))) (fma.f64 2 (/.f64 y (/.f64 x (E.f64))) (E.f64))))
(fma.f64 22/3 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (E.f64)) (fma.f64 4 (.f64 (/.f64 (E.f64) x) (/.f64 (.f64 y y) x)) (fma.f64 2 (.f64 (/.f64 y x) (E.f64)) (E.f64))))
(fma.f64 4 (/.f64 (E.f64) (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 22/3 (.f64 (E.f64) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 (/.f64 2 (/.f64 x y)) (E.f64) (E.f64))))
(exp.f64 -1)
(+.f64 (/.f64 (.f64 (exp.f64 -1) (-.f64 (.f64 -1 x) x)) y) (exp.f64 -1))
(fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (exp.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (exp.f64 -1)) (exp.f64 -1))
(+.f64 (/.f64 (.f64 (exp.f64 -1) (-.f64 (.f64 -1 x) x)) y) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 x) x) 2)) (.f64 (-.f64 (*.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (exp.f64 -1)))
(+.f64 (/.f64 (exp.f64 -1) (/.f64 y (-.f64 (neg.f64 x) x))) (+.f64 (exp.f64 -1) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (neg.f64 x) x) 2) (.f64 x (-.f64 (neg.f64 x) x))) (/.f64 (.f64 y y) (exp.f64 -1)))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x -2) (.f64 1/2 (pow.f64 (.f64 x -2) 2))) (.f64 y y)) (exp.f64 -1)) (-.f64 (exp.f64 -1) (.f64 (/.f64 (+.f64 x x) y) (exp.f64 -1))))
(+.f64 (exp.f64 -1) (.f64 (/.f64 (exp.f64 -1) y) (+.f64 (/.f64 (.f64 (.f64 -2 x) (+.f64 (.f64 1/2 (.f64 -2 x)) x)) y) (.f64 -2 x))))
(+.f64 (/.f64 (.f64 (exp.f64 -1) (-.f64 (.f64 -1 x) x)) y) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 x) x) 2)) (.f64 (-.f64 (.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 x) x) 3)) (.f64 (pow.f64 (-.f64 (.f64 -1 x) x) 2) x)))) (pow.f64 y 3)) (exp.f64 -1))))
(+.f64 (/.f64 (exp.f64 -1) (/.f64 y (-.f64 (neg.f64 x) x))) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (neg.f64 x) x) 2) (.f64 x (-.f64 (neg.f64 x) x))) (/.f64 (.f64 y y) (exp.f64 -1))) (+.f64 (exp.f64 -1) (/.f64 (.f64 (exp.f64 -1) (fma.f64 (-.f64 (neg.f64 x) x) (.f64 x x) (fma.f64 1/6 (pow.f64 (-.f64 (neg.f64 x) x) 3) (*.f64 x (pow.f64 (-.f64 (neg.f64 x) x) 2))))) (pow.f64 y 3)))))
(+.f64 (+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x -2) (.f64 1/2 (pow.f64 (.f64 x -2) 2))) (.f64 y y)) (exp.f64 -1)) (-.f64 (exp.f64 -1) (.f64 (/.f64 (+.f64 x x) y) (exp.f64 -1)))) (.f64 (/.f64 (exp.f64 -1) (pow.f64 y 3)) (fma.f64 (.f64 x x) (.f64 x -2) (fma.f64 x (pow.f64 (.f64 x -2) 2) (.f64 1/6 (pow.f64 (.f64 x -2) 3))))))
(+.f64 (fma.f64 (/.f64 (exp.f64 -1) (pow.f64 y 3)) (fma.f64 1/6 (.f64 (pow.f64 x 3) -8) (.f64 (.f64 x (.f64 -2 x)) (+.f64 (.f64 -2 x) x))) (exp.f64 -1)) (.f64 (/.f64 (exp.f64 -1) y) (+.f64 (/.f64 (.f64 (.f64 -2 x) (+.f64 (.f64 1/2 (.f64 -2 x)) x)) y) (*.f64 -2 x))))
(exp.f64 -1)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y)) (exp.f64 -1))
(fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (exp.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (exp.f64 -1)) (exp.f64 -1))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (exp.f64 -1)) y)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 x (.f64 -1 x)) x)) (.f64 1/2 (pow.f64 (-.f64 x (*.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (exp.f64 -1)))
(+.f64 (/.f64 (exp.f64 -1) (/.f64 y (-.f64 (neg.f64 x) x))) (+.f64 (exp.f64 -1) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (neg.f64 x) x) 2) (.f64 x (-.f64 (neg.f64 x) x))) (/.f64 (.f64 y y) (exp.f64 -1)))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x -2) (.f64 1/2 (pow.f64 (.f64 x -2) 2))) (.f64 y y)) (exp.f64 -1)) (-.f64 (exp.f64 -1) (.f64 (/.f64 (+.f64 x x) y) (exp.f64 -1))))
(+.f64 (exp.f64 -1) (.f64 (/.f64 (exp.f64 -1) y) (+.f64 (/.f64 (.f64 (.f64 -2 x) (+.f64 (.f64 1/2 (.f64 -2 x)) x)) y) (.f64 -2 x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (exp.f64 -1)) y)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 x (.f64 -1 x)) x)) (.f64 1/2 (pow.f64 (-.f64 x (.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) x)) (.f64 1/6 (pow.f64 (-.f64 x (.f64 -1 x)) 3)))) (exp.f64 -1)) (pow.f64 y 3))) (exp.f64 -1))))
(fma.f64 -1 (/.f64 (-.f64 x (neg.f64 x)) (/.f64 y (exp.f64 -1))) (+.f64 (/.f64 (fma.f64 -1 (.f64 x (-.f64 x (neg.f64 x))) (.f64 1/2 (pow.f64 (-.f64 x (neg.f64 x)) 2))) (/.f64 (.f64 y y) (exp.f64 -1))) (fma.f64 -1 (/.f64 (fma.f64 (-.f64 x (neg.f64 x)) (.f64 x x) (fma.f64 -1 (.f64 x (pow.f64 (-.f64 x (neg.f64 x)) 2)) (.f64 1/6 (pow.f64 (-.f64 x (neg.f64 x)) 3)))) (/.f64 (pow.f64 y 3) (exp.f64 -1))) (exp.f64 -1))))
(+.f64 (.f64 (/.f64 (exp.f64 -1) y) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 x x) 2) (.f64 x (.f64 x -2))) y)) (+.f64 (-.f64 (exp.f64 -1) (/.f64 (fma.f64 (.f64 x x) (+.f64 x x) (-.f64 (.f64 1/6 (pow.f64 (+.f64 x x) 3)) (.f64 x (pow.f64 (+.f64 x x) 2)))) (/.f64 (pow.f64 y 3) (exp.f64 -1)))) (.f64 (/.f64 (exp.f64 -1) y) (.f64 x -2))))
(+.f64 (exp.f64 -1) (-.f64 (.f64 (/.f64 (exp.f64 -1) y) (+.f64 (/.f64 (.f64 (.f64 -2 x) (+.f64 (.f64 1/2 (.f64 -2 x)) x)) y) (.f64 -2 x))) (.f64 (/.f64 (exp.f64 -1) (pow.f64 y 3)) (fma.f64 1/6 (.f64 8 (pow.f64 x 3)) (.f64 (.f64 x (+.f64 x x)) (-.f64 x (+.f64 x x)))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) 1)
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 1 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2))
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(pow.f64 (exp.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y)))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3) 1/3)
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3)
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2)
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(pow.f64 (exp.f64 1) (/.f64 (+.f64 x y) (-.f64 x y)))
(pow.f64 (E.f64) (/.f64 (+.f64 x y) (-.f64 x y)))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(log.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))
✓	0.3b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
✓	0.5b	(pow.f64 (cbrt.f64 (+.f64 x y)) 2)
✓	0.6b	(cbrt.f64 (+.f64 x y))

Compiler

Compiled 55 to 19 computations (65.5% saved)

series21.0ms (0.7%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))
2.0ms	x	@	0	(cbrt.f64 (+.f64 x y))
2.0ms	x	@	0	(/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (+.f64 x y)) 2)
1.0ms	y	@	0	(cbrt.f64 (+.f64 x y))

rewrite64.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`prod-diff_binary64`
555×	`log-prod_binary64`
291×	`pow2_binary64`
247×	`fma-def_binary64`
205×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	269	37
2	3305	37

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

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

Outputs
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y)) 3) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2) (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))) (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x y) 1/6) (.f64 (pow.f64 (+.f64 x y) 1/6) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (+.f64 x y))) (/.f64 1 (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 x y)) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (+.f64 x y) 1/6) 1) (/.f64 (pow.f64 (+.f64 x y) 1/6) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (+.f64 x y) 1/6) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (pow.f64 (+.f64 x y) 1/6) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (pow.f64 (-.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))) 1))))))

simplify103.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

459×	`associate-r_binary64`
433×	`times-frac_binary64`
399×	`associate-l_binary64`
386×	`fma-neg_binary64`
337×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	617	4110
1	1602	3863
2	7344	3853

Stop Event

1×	node limit

Counts

210 → 317

Calls

Call 1

Inputs
(pow.f64 y 1/3)
(+.f64 (pow.f64 y 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x)))
(+.f64 (pow.f64 y 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2)))))
(+.f64 (pow.f64 y 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x)) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2))))))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) y)))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) y)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (pow.f64 y 2)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) y)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (pow.f64 y 2))))))
(pow.f64 (pow.f64 y 2) 1/3)
(+.f64 (.f64 2/3 (.f64 (pow.f64 (*.f64 1 y) 1/9) x)) (pow.f64 (pow.f64 y 2) 1/3))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 y) 1/9) x)) (+.f64 (pow.f64 (pow.f64 y 2) 1/3) (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9))) (pow.f64 x 2))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 y) 1/9) x)) (+.f64 (pow.f64 (pow.f64 y 2) 1/3) (+.f64 (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9))) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (+.f64 (.f64 -2/3 (.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (pow.f64 (/.f64 1 y) 1/3))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 y))))))))
(pow.f64 (pow.f64 x 2) 1/3)
(+.f64 (.f64 2/3 (.f64 (pow.f64 (*.f64 1 x) 1/9) y)) (pow.f64 (pow.f64 x 2) 1/3))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 x) 1/9) y)) (+.f64 (pow.f64 (pow.f64 x 2) 1/3) (.f64 (pow.f64 y 2) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 x) 1/9) y)) (+.f64 (.f64 (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 x))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))))) (pow.f64 y 3)) (+.f64 (pow.f64 (pow.f64 x 2) 1/3) (.f64 (pow.f64 y 2) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)))))))
-1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 x y)) (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.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))))) 1)
1
(-.f64 (+.f64 (/.f64 y x) 1) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (/.f64 (.f64 y (-.f64 y (.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 y (.f64 -1 y))) (pow.f64 x 3)) (+.f64 1 (/.f64 (.f64 y (-.f64 y (.f64 -1 y))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 y x)))
1
(-.f64 (+.f64 (/.f64 y x) 1) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (/.f64 (.f64 y (-.f64 y (.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 y (.f64 -1 y))) (pow.f64 x 3)) (+.f64 1 (/.f64 (.f64 y (-.f64 y (.f64 -1 y))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(+.f64 1 (+.f64 (.f64 2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (+.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))))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (+.f64 1 (/.f64 x y)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 x (.f64 -1 x)) y)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))) (.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))) (.f64 -1 (/.f64 (-.f64 x (.f64 -1 x)) y)))) 1)
(*.f64 -1 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 y 11)) 1/9)) (.f64 -1 (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/3))) x) (.f64 -1 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 y 20)) 1/9)) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 (pow.f64 y 8)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 y 16)) 1/9)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 y 11)) 1/9)) (.f64 -1 (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/3))) x) (.f64 -1 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 y 25)) 1/9)) (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/3))) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 (pow.f64 y 11)) 1/3)) (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 y 29)) 1/9))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 y 20)) 1/9)) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 (pow.f64 y 8)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 y 16)) 1/9)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 y 11)) 1/9)) (.f64 -1 (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/3))) x) (*.f64 -1 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))))
(pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)
(+.f64 (.f64 y (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/9)) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(+.f64 (.f64 y (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/9)) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (.f64 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 20)) 1/9)) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3))) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))
(+.f64 (.f64 y (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/9)) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (.f64 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9)) (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 20)) 1/9)) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3))) (pow.f64 y 2)) (+.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 3) (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 29)) 1/9)) (+.f64 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/3) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/9)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))))))))))))
(+.f64 0 (cbrt.f64 (+.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x y)))) 1)
(*.f64 (cbrt.f64 (+.f64 x y)) 1)
(*.f64 1 (cbrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) 1/6) (pow.f64 (+.f64 x y) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x y)))
(/.f64 (cbrt.f64 (+.f64 x y)) 1)
(/.f64 1 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2)))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (cbrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (cbrt.f64 (-.f64 x y)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) (sqrt.f64 -1))
(pow.f64 (+.f64 x y) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x y)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 3)
(pow.f64 (pow.f64 (+.f64 x y) 1/6) 2)
(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2)) -1)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(fabs.f64 (cbrt.f64 (+.f64 x y)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x y))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) 1))
(+.f64 0 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) 1)
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2))
(.f64 (pow.f64 (+.f64 x y) 1/6) (.f64 (pow.f64 (+.f64 x y) 1/6) (cbrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (+.f64 x y) 1/6))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) -1)
(.f64 (.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (cbrt.f64 (+.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1)
(/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) -2))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) -1)
(/.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) 1)
(neg.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) -1))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))))
(cbrt.f64 (pow.f64 (+.f64 x y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))
(exp.f64 (*.f64 2/3 (log.f64 (+.f64 x y))))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (+.f64 x y))) 1))
(+.f64 0 (/.f64 (+.f64 x y) (-.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (-.f64 x y)))
(/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (+.f64 x y)) -2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))) 1))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y)))))
(/.f64 1 (*.f64 (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x y)) -2)))
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 1 (/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) -2))
(/.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (/.f64 1 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (/.f64 1 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (*.f64 -1 (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (*.f64 (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))) -1))
(/.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (-.f64 x y) (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (-.f64 x y) 2))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y))) -1)
(/.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (neg.f64 (cbrt.f64 (+.f64 x y)))) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (neg.f64 (cbrt.f64 (+.f64 x y)))) (.f64 -1 (neg.f64 (-.f64 x y))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (.f64 (neg.f64 (-.f64 x y)) 1))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) 1) (.f64 (neg.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) -2)))
(/.f64 (.f64 (cbrt.f64 (+.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) (.f64 (-.f64 x y) -1))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) (.f64 (neg.f64 (-.f64 x y)) -1))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))) -1)
(/.f64 (*.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) -1)
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)
(pow.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 x y) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 3) (pow.f64 (+.f64 x y) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y)))) -1)
(pow.f64 (*.f64 (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x y)) -2)) -1)
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
(pow.f64 (/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 x y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 3) (pow.f64 (+.f64 x y) 2)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(+.f64 0 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))) 1)
(*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y)))
(*.f64 1 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 1)
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2) (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (-.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (/.f64 1 (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))) (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))
(.f64 (pow.f64 (+.f64 x y) 1/6) (.f64 (pow.f64 (+.f64 x y) 1/6) (/.f64 1 (-.f64 x y))))
(*.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (-.f64 x y)) (cbrt.f64 (+.f64 x y)))
(*.f64 (/.f64 (pow.f64 (+.f64 x y) 1/6) 1) (/.f64 (pow.f64 (+.f64 x y) 1/6) (-.f64 x y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (+.f64 x y) 1/6) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (pow.f64 (+.f64 x y) 1/6) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (-.f64 x y))))
(.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 x y))))
(.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 1)
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))) 3)
(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))) 2)
(pow.f64 (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))) -1)
(pow.f64 (/.f64 (+.f64 x y) (pow.f64 (-.f64 x y) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))) 1) -1)
(neg.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (neg.f64 (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 3))
(cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (-.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))) 1))

Outputs
(pow.f64 y 1/3)
(cbrt.f64 y)
(+.f64 (pow.f64 y 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x)))
(+.f64 (cbrt.f64 y) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)) x)))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 y y)) 1/18) (pow.f64 (/.f64 1 (.f64 y y)) 1/18)) x) (cbrt.f64 y))
(+.f64 (pow.f64 y 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2)))))
(+.f64 (cbrt.f64 y) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 y y)) 1/18) (pow.f64 (/.f64 1 (.f64 y y)) 1/18)) x) (.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)) (.f64 x x)))))
(+.f64 (cbrt.f64 y) (fma.f64 -1/9 (.f64 x (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)))) (.f64 x (.f64 (.f64 1/3 (pow.f64 (/.f64 1 (.f64 y y)) 1/18)) (pow.f64 (/.f64 1 (.f64 y y)) 1/18)))))
(+.f64 (pow.f64 y 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x)) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2))))))
(+.f64 (cbrt.f64 y) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 y y)) 1/18) (pow.f64 (/.f64 1 (.f64 y y)) 1/18)) x) (fma.f64 -1/3 (.f64 (fma.f64 1/27 (cbrt.f64 (/.f64 1 (.f64 y y))) (.f64 -2/9 (cbrt.f64 (/.f64 1 (.f64 y y))))) (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (.f64 y y))))) (.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)) (.f64 x x))))))
(+.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 y y)) 1/18) (pow.f64 (/.f64 1 (.f64 y y)) 1/18)) x) (cbrt.f64 y)) (fma.f64 -1/9 (.f64 x (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) -5/27)))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) y)))
(+.f64 (cbrt.f64 x) (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)))))
(fma.f64 1/3 (.f64 (pow.f64 (/.f64 (/.f64 1 x) x) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 x) x) 1/18) y)) (cbrt.f64 x))
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1
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1
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1
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(/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y))
(pow.f64 (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))) -1)
(/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y))
(pow.f64 (/.f64 (+.f64 x y) (pow.f64 (-.f64 x y) 3)) 1/3)
(/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y))
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))) 1) -1)
(/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y))
(neg.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (neg.f64 (-.f64 x y))))
(/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 2))
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y)) 2))
(fabs.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y)))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))
(/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))))
(/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)) 3))
(/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y))
(cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (-.f64 x y) 3)))
(/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))
(/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))
(/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))))
(/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y))) 1))
(/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite42.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
594×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1610	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify35.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

701×	`log-prod_binary64`
437×	`associate-l_binary64`
397×	`associate-r_binary64`
321×	`log-div_binary64`
288×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	260
1	142	200
2	513	140
3	3935	140

Stop Event

1×	node limit

Counts

20 → 23

Calls

Call 1

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

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

eval236.0ms (7.7%)

Compiler: Compiled 14411 to 7600 computations (47.3% saved)

prune196.0ms (6.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	553	1	554
Fresh	0	2	2
Picked	0	1	1
Done	1	2	3
Total	554	6	560

Error

Counts

560 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
✓	31.7b	(-.f64 (*.f64 -2 (/.f64 x y)) 1)
▶	0.0b	(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
✓	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
	31.8b	1
	32.5b	-1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
✓	0.5b	(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
✓	0.5b	(+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))

Compiler

Compiled 47 to 12 computations (74.5% saved)

series6.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
0.0ms	x	@	-inf	(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
0.0ms	x	@	inf	(+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
0.0ms	y	@	0	(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
0.0ms	x	@	-inf	(+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))

rewrite60.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`prod-diff_binary64`
481×	`log-prod_binary64`
376×	`fma-def_binary64`
265×	`pow2_binary64`
187×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	200	24
2	2916	24

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

Inputs
(+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))

Outputs

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

simplify94.0ms (3%)

Algorithm

1×	egg-herbie

Rules

441×	`fma-neg_binary64`
398×	`sqr-pow_binary64`
315×	`unswap-sqr_binary64`
313×	`cancel-sign-sub-inv_binary64`
164×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	469	4945
1	1315	4626
2	3931	4508

Stop Event

1×	node limit

Counts

170 → 264

Calls

Call 1

Inputs
(exp.f64 -1)
(+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (exp.f64 -1))
(+.f64 (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (exp.f64 -1)))
(+.f64 (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 4)) (pow.f64 y 4))))))
(exp.f64 1)
(+.f64 (/.f64 (.f64 (-.f64 y (.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y)))) (exp.f64 1)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 y (*.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 y (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (+.f64 (.f64 1/6 (pow.f64 (-.f64 y (.f64 -1 y)) 3)) (.f64 (pow.f64 y 2) (-.f64 y (.f64 -1 y))))) (exp.f64 1)) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y)))) (exp.f64 1)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 y (.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1))))
(exp.f64 1)
(+.f64 (/.f64 (.f64 (-.f64 y (.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y)))) (exp.f64 1)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 y (*.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y)))) (exp.f64 1)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 y (.f64 -1 y)) (exp.f64 1)) x) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (-.f64 y (.f64 -1 y)) 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (-.f64 y (.f64 -1 y)))) (.f64 -1 (.f64 y (pow.f64 (-.f64 y (*.f64 -1 y)) 2))))) (exp.f64 1)) (pow.f64 x 3))) (exp.f64 1))))
(exp.f64 1)
(+.f64 (.f64 2 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1))
(+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 1)) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1)))
(+.f64 (.f64 22/3 (/.f64 (.f64 (pow.f64 y 3) (exp.f64 1)) (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 1)) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1))))
(exp.f64 -1)
(+.f64 (/.f64 (.f64 (exp.f64 -1) (-.f64 (.f64 -1 x) x)) y) (exp.f64 -1))
(+.f64 (/.f64 (.f64 (exp.f64 -1) (-.f64 (.f64 -1 x) x)) y) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 x) x) 2)) (.f64 (-.f64 (*.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (exp.f64 -1)))
(+.f64 (/.f64 (.f64 (exp.f64 -1) (-.f64 (.f64 -1 x) x)) y) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 x) x) 2)) (.f64 (-.f64 (.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 x) x) 3)) (.f64 (pow.f64 (-.f64 (.f64 -1 x) x) 2) x)))) (pow.f64 y 3)) (exp.f64 -1))))
(exp.f64 -1)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y)) (exp.f64 -1))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (exp.f64 -1)) y)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 x (.f64 -1 x)) x)) (.f64 1/2 (pow.f64 (-.f64 x (*.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (exp.f64 -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (exp.f64 -1)) y)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 x (.f64 -1 x)) x)) (.f64 1/2 (pow.f64 (-.f64 x (.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) x)) (.f64 1/6 (pow.f64 (-.f64 x (.f64 -1 x)) 3)))) (exp.f64 -1)) (pow.f64 y 3))) (exp.f64 -1))))
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (exp.f64 -1))) 1)
(-.f64 (+.f64 (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 4)) (pow.f64 y 4)))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 y (.f64 -1 y))) x)) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y))))) (pow.f64 x 2)) (/.f64 (.f64 (E.f64) (-.f64 y (*.f64 -1 y))) x))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y))))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 y (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (+.f64 (.f64 1/6 (pow.f64 (-.f64 y (.f64 -1 y)) 3)) (.f64 (pow.f64 y 2) (-.f64 y (.f64 -1 y)))))) (pow.f64 x 3)) (/.f64 (.f64 (E.f64) (-.f64 y (.f64 -1 y))) x)))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 y (.f64 -1 y))) x)) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y))))) (pow.f64 x 2)) (/.f64 (.f64 (E.f64) (-.f64 y (*.f64 -1 y))) x))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y))))) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (E.f64) (+.f64 (.f64 -1/6 (pow.f64 (-.f64 y (.f64 -1 y)) 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (-.f64 y (.f64 -1 y)))) (.f64 -1 (.f64 y (pow.f64 (-.f64 y (.f64 -1 y)) 2)))))) (pow.f64 x 3))) (/.f64 (.f64 (E.f64) (-.f64 y (*.f64 -1 y))) x)))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (E.f64) y) x)) (E.f64)) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (E.f64) y) x)) (+.f64 (E.f64) (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 y 2)) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (E.f64) y) x)) (+.f64 (E.f64) (+.f64 (.f64 22/3 (/.f64 (.f64 (E.f64) (pow.f64 y 3)) (pow.f64 x 3))) (.f64 4 (/.f64 (.f64 (E.f64) (pow.f64 y 2)) (pow.f64 x 2)))))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 -1) (-.f64 (.f64 -1 x) x)) y) (exp.f64 -1)) 1)
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 -1) (-.f64 (.f64 -1 x) x)) y) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 x) x) 2)) (.f64 (-.f64 (*.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (exp.f64 -1))) 1)
(-.f64 (+.f64 (/.f64 (.f64 (exp.f64 -1) (-.f64 (.f64 -1 x) x)) y) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 x) x) 2)) (.f64 (-.f64 (.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (/.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 x) x) 3)) (.f64 (pow.f64 (-.f64 (.f64 -1 x) x) 2) x)))) (pow.f64 y 3)) (exp.f64 -1)))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (exp.f64 -1)) y)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 x (.f64 -1 x)) x)) (.f64 1/2 (pow.f64 (-.f64 x (*.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (exp.f64 -1))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (exp.f64 -1)) y)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 x (.f64 -1 x)) x)) (.f64 1/2 (pow.f64 (-.f64 x (.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) x)) (.f64 1/6 (pow.f64 (-.f64 x (.f64 -1 x)) 3)))) (exp.f64 -1)) (pow.f64 y 3))) (exp.f64 -1)))) 1)
(-.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 0)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) 1)
(-.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (/.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (-.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(*.f64 1 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(*.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)) (/.f64 1 (fma.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (-.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1)))
(*.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(.f64 (pow.f64 (E.f64) (.f64 2 (.f64 1/3 (/.f64 (+.f64 x y) (-.f64 x y))))) (pow.f64 (E.f64) (.f64 1/3 (/.f64 (+.f64 x y) (-.f64 x y)))))
(.f64 (pow.f64 (E.f64) (.f64 1/2 (/.f64 (+.f64 x y) (-.f64 x y)))) (pow.f64 (E.f64) (*.f64 1/2 (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 1 (/.f64 (fma.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (-.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1) (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))))
(/.f64 1 (/.f64 (-.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))))
(/.f64 1 (pow.f64 (E.f64) (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y)))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)) (fma.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (-.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)) (+.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (-.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (-.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))) (neg.f64 (fma.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (-.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))) (neg.f64 (-.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) 1) (-.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log1p.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))) (pow.f64 (E.f64) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))))
(/.f64 (pow.f64 (E.f64) (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)))) (pow.f64 (E.f64) (log1p.f64 (neg.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))))
(pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(pow.f64 (exp.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y)))
(pow.f64 (exp.f64 (+.f64 x y)) (*.f64 (/.f64 1 (-.f64 x y)) 1))
(pow.f64 (E.f64) (/.f64 (+.f64 x y) (-.f64 x y)))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2))) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x y))) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(pow.f64 (/.f64 1 (exp.f64 (+.f64 x y))) (/.f64 1 (neg.f64 (-.f64 x y))))
(pow.f64 (/.f64 (fma.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (-.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1) (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (+.f64 x y) 2))) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (+.f64 x y))) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 x y))) 2)) (cbrt.f64 (/.f64 1 (-.f64 x y))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x y)) (sqrt.f64 (/.f64 1 (-.f64 x y)))) (sqrt.f64 (/.f64 1 (-.f64 x y))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x y)) (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x y)) (/.f64 1 (-.f64 (.f64 x x) (.f64 y y)))) (+.f64 x y))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(pow.f64 (pow.f64 (E.f64) (/.f64 1 (-.f64 x y))) (+.f64 x y))
(pow.f64 (pow.f64 (E.f64) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) 1)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(pow.f64 (pow.f64 (E.f64) (/.f64 (sqrt.f64 (+.f64 x y)) 1)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (-.f64 x y)) -2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(pow.f64 (pow.f64 (E.f64) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(pow.f64 (pow.f64 (E.f64) (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (-.f64 x y) -1/2)) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(pow.f64 (pow.f64 (E.f64) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (sqrt.f64 (-.f64 x y)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(pow.f64 (pow.f64 (E.f64) (/.f64 (+.f64 x y) (-.f64 (.f64 x x) (.f64 y y)))) (+.f64 x y))
(pow.f64 (pow.f64 (E.f64) (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) 1) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (cbrt.f64 (+.f64 x y))) (cbrt.f64 (/.f64 1 (-.f64 x y))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (/.f64 1 (-.f64 x y))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(fma.f64 1 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 0)
(fma.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1 1)
(fma.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1 0)
(fma.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 0)
(fma.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 0)
(fma.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)) (/.f64 1 (fma.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (-.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1)) 0)
(fma.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) 0)
(+.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) -1)
(+.f64 0 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))))
(-.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(*.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (expm1.f64 (*.f64 3 (/.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (+.f64 1 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(/.f64 (expm1.f64 (*.f64 2 (/.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) 1/2)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1))
(fma.f64 1 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) -1)
(fma.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1 -1)
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) -1)
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)) (/.f64 1 (fma.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (-.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1)) -1)
(fma.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) -1)

Outputs
(exp.f64 -1)
(+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (exp.f64 -1))
(fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (exp.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 (exp.f64 -1) y) x) (exp.f64 -1))
(+.f64 (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (exp.f64 -1)))
(fma.f64 2/3 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (exp.f64 -1)))
(fma.f64 2/3 (.f64 (/.f64 (exp.f64 -1) (pow.f64 y 3)) (pow.f64 x 3)) (fma.f64 -2 (.f64 (/.f64 (exp.f64 -1) y) x) (exp.f64 -1)))
(fma.f64 2/3 (*.f64 (/.f64 (exp.f64 -1) (pow.f64 y 3)) (pow.f64 x 3)) (fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (exp.f64 -1)))
(+.f64 (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 4)) (pow.f64 y 4))))))
(fma.f64 2/3 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (exp.f64 -1)) (*.f64 2/3 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
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(E.f64)
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(E.f64)
(+.f64 (/.f64 (.f64 (-.f64 y (.f64 -1 y)) (exp.f64 1)) x) (exp.f64 1))
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(+.f64 (.f64 (/.f64 (E.f64) (.f64 x x)) (-.f64 (.f64 (+.f64 y y) (+.f64 (.f64 1/2 (+.f64 y y)) y)) (/.f64 (-.f64 (.f64 (.f64 8 (pow.f64 y 3)) -1/6) (.f64 (.f64 y (+.f64 y y)) (+.f64 y (+.f64 y y)))) x))) (fma.f64 2 (*.f64 (/.f64 y x) (E.f64)) (E.f64)))
(exp.f64 1)
(E.f64)
(+.f64 (.f64 2 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1))
(+.f64 (E.f64) (/.f64 (-.f64 y (neg.f64 y)) (/.f64 x (E.f64))))
(fma.f64 2 (*.f64 (/.f64 y x) (E.f64)) (E.f64))
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(fma.f64 4 (/.f64 (.f64 y y) (/.f64 (.f64 x x) (E.f64))) (fma.f64 2 (/.f64 y (/.f64 x (E.f64))) (E.f64)))
(fma.f64 4 (.f64 (/.f64 (E.f64) (.f64 x x)) (.f64 y y)) (fma.f64 2 (.f64 (/.f64 y x) (E.f64)) (E.f64)))
(fma.f64 4 (/.f64 (.f64 y (.f64 y (E.f64))) (.f64 x x)) (fma.f64 2 (.f64 (/.f64 y x) (E.f64)) (E.f64)))
(+.f64 (.f64 22/3 (/.f64 (.f64 (pow.f64 y 3) (exp.f64 1)) (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 1)) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1))))
(fma.f64 22/3 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 3) (E.f64))) (fma.f64 4 (/.f64 (.f64 y y) (/.f64 (.f64 x x) (E.f64))) (fma.f64 2 (/.f64 y (/.f64 x (E.f64))) (E.f64))))
(fma.f64 22/3 (.f64 (/.f64 (E.f64) (pow.f64 x 3)) (pow.f64 y 3)) (fma.f64 4 (.f64 (/.f64 (E.f64) (.f64 x x)) (.f64 y y)) (fma.f64 2 (*.f64 (/.f64 y x) (E.f64)) (E.f64))))
(fma.f64 22/3 (/.f64 (E.f64) (pow.f64 (/.f64 x y) 3)) (fma.f64 4 (/.f64 (.f64 y (.f64 y (E.f64))) (.f64 x x)) (fma.f64 2 (.f64 (/.f64 y x) (E.f64)) (E.f64))))
(exp.f64 -1)
(+.f64 (/.f64 (.f64 (exp.f64 -1) (-.f64 (.f64 -1 x) x)) y) (exp.f64 -1))
(fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (exp.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 (exp.f64 -1) y) x) (exp.f64 -1))
(+.f64 (/.f64 (.f64 (exp.f64 -1) (-.f64 (.f64 -1 x) x)) y) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 x) x) 2)) (.f64 (-.f64 (*.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (exp.f64 -1)))
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(+.f64 (exp.f64 -1) (+.f64 (/.f64 (exp.f64 -1) (/.f64 (.f64 y y) (fma.f64 x (.f64 x -2) (.f64 1/2 (pow.f64 (.f64 x -2) 2))))) (/.f64 (exp.f64 -1) (/.f64 y (*.f64 x -2)))))
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(exp.f64 -1)
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(fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (exp.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 (exp.f64 -1) y) x) (exp.f64 -1))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (exp.f64 -1)) y)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 x (.f64 -1 x)) x)) (.f64 1/2 (pow.f64 (-.f64 x (*.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (exp.f64 -1)))
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(+.f64 (exp.f64 -1) (+.f64 (/.f64 (exp.f64 -1) (/.f64 (.f64 y y) (fma.f64 x (.f64 x -2) (.f64 1/2 (pow.f64 (.f64 x -2) 2))))) (/.f64 (exp.f64 -1) (/.f64 y (*.f64 x -2)))))
(+.f64 (fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (exp.f64 -1)) (.f64 (/.f64 (exp.f64 -1) y) (/.f64 (.f64 (+.f64 x x) (-.f64 (*.f64 (+.f64 x x) 1/2) x)) y)))
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(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (exp.f64 -1)) 1)
(+.f64 (*.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x))) (expm1.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1))
(fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (expm1.f64 -1))
(-.f64 (+.f64 (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (exp.f64 -1))) 1)
(+.f64 (fma.f64 2/3 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (exp.f64 -1))) -1)
(fma.f64 2/3 (.f64 (/.f64 (exp.f64 -1) (pow.f64 y 3)) (pow.f64 x 3)) (fma.f64 -2 (.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1)))
(fma.f64 2/3 (*.f64 (/.f64 (exp.f64 -1) (pow.f64 y 3)) (pow.f64 x 3)) (fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (expm1.f64 -1)))
(-.f64 (+.f64 (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (exp.f64 -1) x) y)) (+.f64 (exp.f64 -1) (.f64 2/3 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 4)) (pow.f64 y 4)))))) 1)
(+.f64 (fma.f64 2/3 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (exp.f64 -1)) (*.f64 2/3 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) -1)
(fma.f64 2/3 (.f64 (/.f64 (exp.f64 -1) (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (fma.f64 -2 (.f64 (/.f64 (exp.f64 -1) y) x) (fma.f64 2/3 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (exp.f64 -1))) -1))
(+.f64 (fma.f64 -2 (/.f64 (exp.f64 -1) (/.f64 y x)) (fma.f64 2/3 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (exp.f64 -1))) (fma.f64 2/3 (*.f64 (/.f64 (exp.f64 -1) (pow.f64 y 3)) (pow.f64 x 3)) -1))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (/.f64 (.f64 (E.f64) (-.f64 y (.f64 -1 y))) x)) 1)
(+.f64 (+.f64 (E.f64) (/.f64 (-.f64 y (neg.f64 y)) (/.f64 x (E.f64)))) -1)
(fma.f64 2 (*.f64 (/.f64 y x) (E.f64)) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (.f64 (E.f64) (+.f64 (.f64 1/2 (pow.f64 (-.f64 y (.f64 -1 y)) 2)) (.f64 y (-.f64 y (.f64 -1 y))))) (pow.f64 x 2)) (/.f64 (.f64 (E.f64) (-.f64 y (*.f64 -1 y))) x))) 1)
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(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1 0)
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(fma.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) 1)
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2) 0)
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 0)
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 0)
(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)) (/.f64 1 (fma.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (-.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1)) 0)
(/.f64 1 (/.f64 (fma.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (+.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) -1) 1) (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)) (fma.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (+.f64 -1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1))
(fma.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) 0)
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (-.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(+.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) -1)
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(+.f64 0 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))))
(-.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (expm1.f64 (*.f64 3 (/.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (+.f64 1 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(/.f64 (expm1.f64 (*.f64 3 (/.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)))
(/.f64 (expm1.f64 (*.f64 3 (/.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 1 (exp.f64 (+.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 (+.f64 x y) (-.f64 x y))))))
(/.f64 (expm1.f64 (*.f64 2 (/.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(/.f64 (expm1.f64 (/.f64 (*.f64 2 (+.f64 x y)) (-.f64 x y))) (+.f64 1 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (expm1.f64 (*.f64 2 (/.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 1 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (expm1.f64 (/.f64 2 (/.f64 (-.f64 x y) (+.f64 x y)))) (+.f64 1 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) 1/2)
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3)
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2)
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3) 1/3)
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1))
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 1 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) -1)
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1 -1)
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2) -1)
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) -1)
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) -1)
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)) (/.f64 1 (fma.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (-.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)) (/.f64 1 (fma.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (+.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) -1) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)) (fma.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (+.f64 -1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)))
(fma.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (-.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))

eval157.0ms (5.1%)

Compiler: Compiled 8721 to 4327 computations (50.4% saved)

prune82.0ms (2.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	340	0	340
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	340	6	346

Error

Counts

346 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
✓	31.7b	(-.f64 (*.f64 -2 (/.f64 x y)) 1)
✓	0.0b	(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
✓	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
	31.8b	1
	32.5b	-1

Compiler

Compiled 48 to 34 computations (29.2% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
✓	31.7b	(-.f64 (*.f64 -2 (/.f64 x y)) 1)
✓	0.0b	(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
✓	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
	31.8b	1
	32.5b	-1

Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes21.0ms (0.7%)

Counts

7 → 1

Calls

Call 1

Inputs
-1
1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(/.f64 (+.f64 x y) (-.f64 x y))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))

Outputs
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))

Calls

3 calls:

12.0ms	x
5.0ms	y
2.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 70 to 34 computations (51.4% saved)

regimes10.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
4.0ms	x
2.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes42.0ms (1.4%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	y
18.0ms	x

Results

Error	Segments	Branch
14.1b	5	`x`
12.4b	7	`y`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch74.0ms (2.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
11.0ms	5.9081776530742225e+34	1.2278158366134554e+36
17.0ms	1.0016069529036005e-41	1.562106311926405e-21
6.0ms	6.93409354651629e-73	1.9290163490775874e-65
14.0ms	-4.431898855071231e-38	-8.121950503024362e-44
10.0ms	-2.866260643483762e+39	-1.8915150235667986e+38
16.0ms	-7.308208794742852e+72	-8.612921440393717e+68

Results

66.0ms

720×

body

256

valid

Compiler

Compiled 554 to 489 computations (11.7% saved)

regimes43.0ms (1.4%)

Accuracy

Total -50.2b remaining (-391.5%)

Threshold costs -50.2b (-391.5%)

Counts

2 → 7

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1
1
-1
1
-1

Calls

2 calls:

27.0ms	y
16.0ms	x

Results

Error	Segments	Branch
14.6b	5	`x`
12.8b	7	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch69.0ms (2.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
7.0ms	5.9081776530742225e+34	1.2278158366134554e+36
17.0ms	1.0016069529036005e-41	1.562106311926405e-21
2.0ms	6.93409354651629e-73	1.9290163490775874e-65
3.0ms	-4.431898855071231e-38	-8.121950503024362e-44
27.0ms	-2.866260643483762e+39	-1.8915150235667986e+38
12.0ms	-7.308208794742852e+72	-8.612921440393717e+68

Results

62.0ms

528×

body

256

valid

Compiler

Compiled 278 to 273 computations (1.8% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	138
1	59	138
2	63	138
3	65	138
4	66	138

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 y -11999999999999999337881695712461963155553465765449079847479399682146304) (-.f64 (.f64 -2 (/.f64 x y)) 1) (if (<=.f64 y -2700000000000000033665194890705823072256) 1 (if (<=.f64 y -4070308156539801/98079714615416886934934209737619787751599303819750539264) (-.f64 (.f64 -2 (/.f64 x y)) 1) (if (<=.f64 y 3794275180128377/948568795032094272909893509191171341133987714380927500611236528192824358010355712) 1 (if (<=.f64 y 6129982163463555/47890485652059026823698344598447161988085597568237568) -1 (if (<=.f64 y 180000000000000001732756623736176640) 1 (-.f64 (*.f64 -2 (/.f64 x y)) 1)))))))
(if (<=.f64 y -11000000000000000031598029763877157208568604930957149701330750618468352) -1 (if (<=.f64 y -310000000000000017577616163635860602880) 1 (if (<=.f64 y -1915619426082361/47890485652059026823698344598447161988085597568237568) -1 (if (<=.f64 y 3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448) 1 (if (<=.f64 y 98175495586721/23945242826029513411849172299223580994042798784118784) -1 (if (<=.f64 y 139999999999999999298061365827076096) 1 -1))))))
-1

Outputs
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 y -11999999999999999337881695712461963155553465765449079847479399682146304) (-.f64 (.f64 -2 (/.f64 x y)) 1) (if (<=.f64 y -2700000000000000033665194890705823072256) 1 (if (<=.f64 y -4070308156539801/98079714615416886934934209737619787751599303819750539264) (-.f64 (.f64 -2 (/.f64 x y)) 1) (if (<=.f64 y 3794275180128377/948568795032094272909893509191171341133987714380927500611236528192824358010355712) 1 (if (<=.f64 y 6129982163463555/47890485652059026823698344598447161988085597568237568) -1 (if (<=.f64 y 180000000000000001732756623736176640) 1 (-.f64 (*.f64 -2 (/.f64 x y)) 1)))))))
(if (<=.f64 y -11999999999999999337881695712461963155553465765449079847479399682146304) (+.f64 (.f64 -2 (/.f64 x y)) -1) (if (<=.f64 y -2700000000000000033665194890705823072256) 1 (if (<=.f64 y -4070308156539801/98079714615416886934934209737619787751599303819750539264) (+.f64 (.f64 -2 (/.f64 x y)) -1) (if (<=.f64 y 3794275180128377/948568795032094272909893509191171341133987714380927500611236528192824358010355712) 1 (if (<=.f64 y 6129982163463555/47890485652059026823698344598447161988085597568237568) -1 (if (<=.f64 y 180000000000000001732756623736176640) 1 (+.f64 (*.f64 -2 (/.f64 x y)) -1)))))))
(if (<=.f64 y -11000000000000000031598029763877157208568604930957149701330750618468352) -1 (if (<=.f64 y -310000000000000017577616163635860602880) 1 (if (<=.f64 y -1915619426082361/47890485652059026823698344598447161988085597568237568) -1 (if (<=.f64 y 3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448) 1 (if (<=.f64 y 98175495586721/23945242826029513411849172299223580994042798784118784) -1 (if (<=.f64 y 139999999999999999298061365827076096) 1 -1))))))
-1

Compiler

Compiled 107 to 79 computations (26.2% saved)

soundness0.0ms (0%)

end74.0ms (2.4%)

Compiler: Compiled 99 to 68 computations (31.3% saved)

Details

analyze58.0ms (1.9%)

sample1.1s (36.5%)

preprocess89.0ms (2.9%)

simplify83.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series5.0ms (0.2%)

rewrite43.0ms (1.4%)

simplify36.0ms (1.2%)

eval17.0ms (0.5%)

prune37.0ms (1.2%)

localize11.0ms (0.3%)

series7.0ms (0.2%)

rewrite44.0ms (1.4%)

simplify43.0ms (1.4%)

localize17.0ms (0.5%)

series21.0ms (0.7%)

rewrite64.0ms (2.1%)

simplify103.0ms (3.3%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite42.0ms (1.3%)

simplify35.0ms (1.1%)

eval236.0ms (7.7%)

prune196.0ms (6.4%)

localize15.0ms (0.5%)

series6.0ms (0.2%)

rewrite60.0ms (2%)

simplify94.0ms (3%)

eval157.0ms (5.1%)

prune82.0ms (2.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes21.0ms (0.7%)

regimes10.0ms (0.3%)

regimes42.0ms (1.4%)

bsearch74.0ms (2.4%)

regimes43.0ms (1.4%)

bsearch69.0ms (2.2%)

simplify7.0ms (0.2%)

soundness0.0ms (0%)

end74.0ms (2.4%)

Profiling