Details

analyze174.0ms (6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
15.6%	84.3%	0.1%	6
39%	60.9%	0.1%	7
51.5%	48.4%	0.1%	8
66%	34%	0.1%	9
73.8%	26.1%	0.1%	10
82%	17.9%	0.1%	11
86.3%	13.6%	0.1%	12
90.8%	9.1%	0.1%	13
93%	6.9%	0.1%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample833.0ms (28.6%)

Results

821.0ms

8256×

body

128

valid

preprocess67.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

1022×	`fma-neg_binary64`
485×	`div-sub_binary64`
480×	`times-frac_binary64`
259×	`associate-/l*_binary64`
250×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	22	20
2	34	20
3	54	20
4	104	20
5	192	20
6	319	20
7	676	20
8	1930	20
9	3892	20
10	4645	20
11	4722	20
12	4800	20
13	4830	20
14	4854	20
15	4876	20
16	4902	20
0	2	2

Stop Event

1×	saturated
1×	node limit

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 y x) (+.f64 x y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify51.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
511×	`fma-neg_binary64`
363×	`times-frac_binary64`
334×	`div-sub_binary64`
143×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	12	10
2	19	10
3	30	10
4	57	10
5	93	10
6	154	10
7	244	10
8	437	10
9	990	10
10	2383	10
11	3170	10
12	3927	10
13	3974	10
14	3996	10
15	4016	10
16	4016	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 18 to 10 computations (44.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`log1p-expm1-u_binary64`
898×	`expm1-log1p-u_binary64`
78×	`add-sqr-sqrt_binary64`
77×	`*-un-lft-identity_binary64`
77×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	143	10
2	2294	10

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

Outputs

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

simplify41.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

546×	`times-frac_binary64`
477×	`fma-def_binary64`
360×	`div-sub_binary64`
322×	`associate-/l*_binary64`
263×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	507
1	256	444
2	889	354
3	4560	354

Stop Event

1×	node limit

Counts

61 → 60

Calls

Call 1

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

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

eval13.0ms (0.5%)

Compiler: Compiled 890 to 402 computations (54.8% saved)

prune127.0ms (4.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Error

Counts

61 → 3

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
▶	0.0b	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -1)
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 73 to 39 computations (46.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series27.0ms (0.9%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	y	@	0	(/.f64 (+.f64 x y) (-.f64 x y))
1.0ms	y	@	inf	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -1)
1.0ms	x	@	-inf	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -1)
1.0ms	x	@	inf	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -1)
1.0ms	y	@	-inf	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -1)

rewrite51.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`prod-diff_binary64`
234×	`fma-def_binary64`
163×	`expm1-udef_binary64`
163×	`log1p-udef_binary64`
136×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	182	20
2	2614	20

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

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

Outputs

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

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

simplify40.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

655×	`associate-/l*_binary64`
265×	`fma-neg_binary64`
179×	`cancel-sign-sub-inv_binary64`
174×	`distribute-rgt-out_binary64`
170×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	1349
1	586	1023
2	2310	725

Stop Event

1×	node limit

Counts

130 → 131

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

eval42.0ms (1.4%)

Compiler: Compiled 2470 to 1236 computations (50% saved)

prune264.0ms (9.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	132	2	134

Error

Counts

134 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) -1)
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 35 to 23 computations (34.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) -1)
	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
✓	0.5b	(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))

series13.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
2.0ms	x	@	0	(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
1.0ms	y	@	-inf	(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
1.0ms	x	@	inf	(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
1.0ms	x	@	-inf	(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))

rewrite57.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`prod-diff_binary64`
246×	`fma-def_binary64`
178×	`expm1-udef_binary64`
178×	`log1p-udef_binary64`
133×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	204	32
2	2820	32

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

Inputs
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) -1)

Outputs

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

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

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Rules

344×	`fma-neg_binary64`
289×	`+-commutative_binary64`
283×	`fma-def_binary64`
243×	`cancel-sign-sub-inv_binary64`
214×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	2343
1	1004	1833
2	3837	1752

Stop Event

1×	node limit

Counts

191 → 204

Calls

Call 1

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

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

eval91.0ms (3.1%)

Compiler: Compiled 5537 to 2957 computations (46.6% saved)

prune863.0ms (29.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	262	0	262
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	262	2	264

Error

Counts

264 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) -1)
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes16.0ms (0.5%)

Accuracy

Total -0.0b remaining (-239.6%)

Threshold costs -0.0b (-239.6%)

Counts

4 → 1

Calls

Call 1

Inputs
(pow.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) -1)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -1)
(/.f64 (-.f64 x y) (+.f64 x y))

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

Results

Time	Error	Segments	Branch
4.0ms	0.0b	1	`x`
6.0ms	0.0b	1	`y`
2.0ms	0.0b	1	`(/.f64 (-.f64 x y) (+.f64 x y))`
2.0ms	0.0b	1	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 72 to 31 computations (56.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13
2	15	13
3	17	13
4	18	13

Stop Event

1×

saturated

Calls

Call 1

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

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

end15.0ms (0.5%)

Stop Event

1×

done

Compiler

Compiled 22 to 14 computations (36.4% saved)

Details

analyze174.0ms (6%)

sample833.0ms (28.6%)

preprocess67.0ms (2.3%)

simplify51.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series4.0ms (0.1%)

rewrite41.0ms (1.4%)

simplify41.0ms (1.4%)

eval13.0ms (0.5%)

prune127.0ms (4.4%)

localize5.0ms (0.2%)

series27.0ms (0.9%)

rewrite51.0ms (1.8%)

simplify40.0ms (1.4%)

eval42.0ms (1.4%)

prune264.0ms (9.1%)

localize9.0ms (0.3%)

series13.0ms (0.4%)

rewrite57.0ms (2%)

simplify58.0ms (2%)

eval91.0ms (3.1%)

prune863.0ms (29.7%)

regimes16.0ms (0.5%)

simplify2.0ms (0.1%)

end15.0ms (0.5%)

Profiling