Details

analyze133.0ms (2.8%)

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
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	5
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	6
40.6%	40.6%	59.3%	0.1%	0%	0%	0%	7
57.8%	57.8%	42.1%	0.1%	0%	0%	0%	8
63.3%	63.2%	36.7%	0.1%	0%	0%	0%	9
73.7%	72.2%	25.8%	0.1%	2%	0%	0%	10
77.6%	75.1%	21.7%	0.1%	3.1%	0%	0%	11
84.8%	79.7%	14.2%	0.1%	6%	0%	0%	12

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.0s (21.8%)

Results

960.0ms	8256×	body	256	valid
60.0ms	651×	body	256	infinite

Bogosity

preprocess101.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

1036×	`fma-def_binary64`
832×	`cube-prod_binary64`
475×	`distribute-rgt-in_binary64`
432×	`distribute-lft-in_binary64`
422×	`swap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	38	28
2	66	28
3	170	28
4	368	28
5	830	28
6	1247	28
7	1553	28
8	2731	28
9	3477	28
10	4351	28
11	4902	28
12	5718	28
13	6277	28
14	7134	28
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 (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(/.f64 (*.f64 y (+.f64 (/.f64 y x) 1)) (+.f64 y 1))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

971×	`fma-def_binary64`
682×	`distribute-rgt-in_binary64`
629×	`distribute-lft-in_binary64`
559×	`associate-/l*_binary64`
519×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	22	14
2	36	14
3	81	14
4	143	14
5	285	14
6	742	14
7	1089	14
8	1620	14
9	1850	14
10	2280	14
11	2944	14
12	3273	14
13	3812	14
14	7717	14

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 34 to 19 computations (44.1% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

0.0b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.6b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
▶	0.1b	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
✓	0.1b	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

Compiler

Compiled 36 to 19 computations (47.2% saved)

series9.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
1.0ms	y	@	inf	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
1.0ms	y	@	0	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))
1.0ms	x	@	-inf	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))
1.0ms	x	@	0	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

rewrite58.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`log-prod_binary64`
367×	`prod-diff_binary64`
281×	`pow2_binary64`
250×	`fma-def_binary64`
242×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	210	29
2	3278	29

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

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

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simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

542×	`distribute-rgt-in_binary64`
505×	`distribute-lft-in_binary64`
372×	`unswap-sqr_binary64`
235×	`associate-/l/_binary64`
152×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	3589
1	1078	3300
2	3655	3160

Stop Event

1×	node limit

Counts

159 → 248

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
✓	8.0b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite57.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`log-prod_binary64`
475×	`prod-diff_binary64`
279×	`pow2_binary64`
271×	`fma-def_binary64`
207×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	209	22
2	3245	22

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

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

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

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

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

702×	`times-frac_binary64`
488×	`unswap-sqr_binary64`
445×	`associate-/r*_binary64`
184×	`associate-/l/_binary64`
160×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	2474
1	798	2067
2	2687	2055

Stop Event

1×	node limit

Counts

156 → 176

Calls

Call 1

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

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

eval118.0ms (2.5%)

Compiler: Compiled 8022 to 4125 computations (48.6% saved)

prune68.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	417	7	424
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	418	8	426

Error

Counts

426 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.6b	(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
	43.2b	(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
✓	8.6b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
▶	34.7b	(/.f64 x (/.f64 y (/.f64 x (+.f64 1 x))))
▶	28.2b	(/.f64 x (+.f64 x 1))
▶	43.3b	(/.f64 x y)
▶	35.6b	(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
	36.5b	x

Compiler

Compiled 132 to 87 computations (34.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x (/.f64 x y)) x)
✓	0.2b	(*.f64 x (/.f64 x y))
✓	8.0b	(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))

Compiler

Compiled 34 to 11 computations (67.6% saved)

series8.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite64.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`log-prod_binary64`
352×	`pow-prod-down_binary64`
325×	`fma-def_binary64`
277×	`pow2_binary64`
219×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	205	29
2	3069	29

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6)) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 x y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) (*.f64 x (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) 2) (cbrt.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x)) (sqrt.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 x (/.f64 x y))) (pow.f64 (/.f64 x (sqrt.f64 y)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) (*.f64 x x)) (/.f64 1 (*.f64 x (-.f64 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (-.f64 x (*.f64 x (/.f64 x y))) (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 (/.f64 x y) 1)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 x (/.f64 x y))) (pow.f64 (/.f64 x (sqrt.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) (/.f64 (pow.f64 x 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) (*.f64 x x)) (*.f64 x (-.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (/.f64 x y))) (pow.f64 (/.f64 x (sqrt.f64 y)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) (*.f64 x x))) (neg.f64 (*.f64 x (-.f64 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (-.f64 x (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 x (/.f64 x y))) (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (-.f64 (/.f64 x y) 1)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 x) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (/.f64 x y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (/.f64 x y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (/.f64 x y)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (pow.f64 y -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (cbrt.f64 (*.f64 x (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x) x)))))

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

886×	`fma-def_binary64`
530×	`distribute-rgt-in_binary64`
419×	`unswap-sqr_binary64`
200×	`div-sub_binary64`
181×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	2914
1	923	2800
2	3035	2742

Stop Event

1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite38.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`pow1_binary64`
561×	`log1p-expm1-u_binary64`
561×	`expm1-log1p-u_binary64`
560×	`add-log-exp_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1515	7

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(/.f64 x (+.f64 x 1))

Outputs

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

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

535×	`fma-neg_binary64`
486×	`associate-l_binary64`
431×	`associate-r_binary64`
326×	`cancel-sign-sub-inv_binary64`
251×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	579
1	276	482
2	811	397
3	4615	394

Stop Event

1×	node limit

Counts

44 → 69

Calls

Call 1

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

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

localize9.0ms (0.2%)

Compiler: Compiled 25 to 13 computations (48% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 1 x))
✓	0.0b	(/.f64 y (/.f64 x (+.f64 1 x)))
✓	0.1b	(/.f64 x (/.f64 y (/.f64 x (+.f64 1 x))))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series7.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

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

rewrite68.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`log-prod_binary64`
432×	`exp-prod_binary64`
304×	`pow-prod-down_binary64`
243×	`pow2_binary64`
220×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	182	30
2	2875	30

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

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

Outputs

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

simplify79.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

280×	`sqr-pow_binary64`
264×	`cube-prod_binary64`
200×	`log-prod_binary64`
195×	`*-commutative_binary64`
191×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	480	3405
1	1211	2971
2	4095	2764

Stop Event

1×	node limit

Counts

245 → 301

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (*.f64 y (+.f64 1 x)) x)
(/.f64 (*.f64 y (+.f64 1 x)) x)
(/.f64 (*.f64 y (+.f64 1 x)) x)
(/.f64 (*.f64 y (+.f64 1 x)) x)
(/.f64 (*.f64 y (+.f64 1 x)) x)
(/.f64 (*.f64 y (+.f64 1 x)) x)
(/.f64 (*.f64 y (+.f64 1 x)) x)
(/.f64 (*.f64 y (+.f64 1 x)) x)
(/.f64 (*.f64 y (+.f64 1 x)) x)
(/.f64 (*.f64 y (+.f64 1 x)) x)
(/.f64 (*.f64 y (+.f64 1 x)) x)
(/.f64 (*.f64 y (+.f64 1 x)) x)
(/.f64 y x)
(+.f64 (/.f64 y x) y)
(+.f64 (/.f64 y x) y)
(+.f64 (/.f64 y x) y)
y
(+.f64 (/.f64 y x) y)
(+.f64 (/.f64 y x) y)
(+.f64 (/.f64 y x) y)
y
(+.f64 (/.f64 y x) y)
(+.f64 (/.f64 y x) y)
(+.f64 (/.f64 y x) y)
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 0 (.f64 x (/.f64 x (.f64 y (+.f64 x 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (.f64 y (+.f64 x 1))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (.f64 y (+.f64 x 1)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (.f64 y (+.f64 x 1)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (.f64 y (+.f64 x 1)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (/.f64 x (.f64 y (+.f64 x 1)))))) 1)
(.f64 x (/.f64 x (.f64 y (+.f64 x 1))))
(.f64 1 (.f64 x (/.f64 x (*.f64 y (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(.f64 (.f64 x (/.f64 x (*.f64 y (+.f64 x 1)))) 1)
(.f64 (cbrt.f64 (.f64 x (/.f64 x (.f64 y (+.f64 x 1))))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 x (*.f64 y (+.f64 x 1))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 x (.f64 y (+.f64 x 1))))) 2) (cbrt.f64 (.f64 x (/.f64 x (*.f64 y (+.f64 x 1))))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 x (*.f64 y (+.f64 x 1)))))
(.f64 (sqrt.f64 (.f64 x (/.f64 x (.f64 y (+.f64 x 1))))) (sqrt.f64 (.f64 x (/.f64 x (*.f64 y (+.f64 x 1))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 x (*.f64 y (+.f64 x 1)))))
(.f64 (neg.f64 x) (/.f64 1 (.f64 (/.f64 y x) (fma.f64 -1 x -1))))
(.f64 (/.f64 x (.f64 y (+.f64 x 1))) x)
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))
(.f64 (/.f64 x 1) (/.f64 x (.f64 y (+.f64 x 1))))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 (+.f64 x 1) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 (+.f64 x 1) x)))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 (+.f64 x 1) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (.f64 (+.f64 x 1) (/.f64 y x))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 (+.f64 x 1) (/.f64 y x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x 1) (/.f64 y x))) -2) (/.f64 x (cbrt.f64 (*.f64 (+.f64 x 1) (/.f64 y x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 x 1) (/.f64 y x))) 2)) (cbrt.f64 (.f64 x (/.f64 x (.f64 y (+.f64 x 1))))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 (+.f64 x 1) (/.f64 y x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (+.f64 x 1) (/.f64 y x)))))
(.f64 (pow.f64 (.f64 (+.f64 x 1) (/.f64 y x)) -1/2) (/.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (/.f64 y x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 (+.f64 x 1) (/.f64 y x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 (+.f64 x 1) (/.f64 y x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y x)) (/.f64 (cbrt.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 y x)) (/.f64 (sqrt.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 x) (+.f64 x 1)))
(.f64 (.f64 (/.f64 x y) x) (/.f64 1 (+.f64 x 1)))
(.f64 (.f64 (/.f64 x y) 1) (/.f64 x (+.f64 x 1)))
(.f64 (.f64 (/.f64 x y) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(.f64 (.f64 (/.f64 x y) (sqrt.f64 (/.f64 x (+.f64 x 1)))) (sqrt.f64 (/.f64 x (+.f64 x 1))))
(pow.f64 (.f64 x (/.f64 x (.f64 y (+.f64 x 1)))) 1)
(pow.f64 (E.f64) (-.f64 (log.f64 (/.f64 x (/.f64 y x))) (log1p.f64 x)))
(pow.f64 (pow.f64 (.f64 x (/.f64 x (.f64 y (+.f64 x 1)))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 x (/.f64 x (.f64 y (+.f64 x 1)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (/.f64 x (.f64 y (+.f64 x 1))))) 3)
(pow.f64 (sqrt.f64 (.f64 x (/.f64 x (.f64 y (+.f64 x 1))))) 2)
(pow.f64 (/.f64 (*.f64 (+.f64 x 1) (/.f64 y x)) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 x 1) (/.f64 y x)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (*.f64 (+.f64 x 1) (/.f64 y x)) x) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (/.f64 x (/.f64 y x))) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 (/.f64 x (/.f64 y x))) (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (/.f64 x (/.f64 y x))) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 (/.f64 x (/.f64 y x))) (log1p.f64 x))))
(neg.f64 (/.f64 x (*.f64 (/.f64 y x) (fma.f64 -1 x -1))))
(sqrt.f64 (pow.f64 (.f64 x (/.f64 x (.f64 y (+.f64 x 1)))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (*.f64 y (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (/.f64 x (.f64 y (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (.f64 x (/.f64 x (.f64 y (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 x 1) (/.f64 y x)) 3)))
(expm1.f64 (log1p.f64 (.f64 x (/.f64 x (.f64 y (+.f64 x 1))))))
(log1p.f64 (expm1.f64 (.f64 x (/.f64 x (.f64 y (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 (/.f64 x (/.f64 y x))) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 x (/.f64 y x))) (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 3 (-.f64 (log.f64 (/.f64 x (/.f64 y x))) (log1p.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 x (/.f64 y x))) (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log.f64 (/.f64 x (/.f64 y x))) (log1p.f64 x))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 x 1) (/.f64 y x)) x)) -1))
(exp.f64 (.f64 (.f64 (-.f64 (log.f64 (/.f64 x (/.f64 y x))) (log1p.f64 x)) 1) 1))
(+.f64 0 (*.f64 (+.f64 x 1) (/.f64 y x)))
(+.f64 (/.f64 y x) (*.f64 x (/.f64 y x)))
(+.f64 (*.f64 x (/.f64 y x)) (/.f64 y x))
(+.f64 (.f64 (/.f64 y x) x) (.f64 (/.f64 y x) 1))
(+.f64 (.f64 (/.f64 y x) 1) (.f64 (/.f64 y x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y x)) (+.f64 x 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y x)) (+.f64 x 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y x)) (+.f64 x 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y x)) (+.f64 x 1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1) (/.f64 y x)))) 1)
(*.f64 y (/.f64 (+.f64 x 1) x))
(.f64 1 (.f64 (+.f64 x 1) (/.f64 y x)))
(*.f64 (+.f64 x 1) (/.f64 y x))
(.f64 (.f64 (+.f64 x 1) (/.f64 y x)) 1)
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 (+.f64 x 1) x)))
(.f64 (cbrt.f64 (.f64 (+.f64 x 1) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (/.f64 y x))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x 1) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (+.f64 x 1) (/.f64 y x))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 (+.f64 x 1) x)))
(.f64 (sqrt.f64 (.f64 (+.f64 x 1) (/.f64 y x))) (sqrt.f64 (*.f64 (+.f64 x 1) (/.f64 y x))))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 x 1) x) y)
(*.f64 (/.f64 y x) (+.f64 x 1))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 x (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (+.f64 x 1))))
(*.f64 (/.f64 y 1) (/.f64 (+.f64 x 1) x))
(*.f64 (pow.f64 x -1) (/.f64 y (/.f64 1 (+.f64 x 1))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) x) (/.f64 (cbrt.f64 y) (/.f64 1 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) -2) (/.f64 y (cbrt.f64 (/.f64 x (+.f64 x 1)))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (cbrt.f64 (*.f64 (+.f64 x 1) (/.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (+.f64 x 1)))))
(*.f64 (pow.f64 (/.f64 x (+.f64 x 1)) -1/2) (/.f64 y (sqrt.f64 (/.f64 x (+.f64 x 1)))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (sqrt.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (+.f64 x 1)))))
(.f64 (.f64 (/.f64 y x) 1) (+.f64 x 1))
(*.f64 (/.f64 y (neg.f64 x)) (fma.f64 -1 x -1))
(.f64 (.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))
(.f64 (.f64 (/.f64 y x) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))
(pow.f64 (*.f64 (+.f64 x 1) (/.f64 y x)) 1)
(pow.f64 (E.f64) (+.f64 (log1p.f64 x) (log.f64 (/.f64 y x))))
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (/.f64 y x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (/.f64 y x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (/.f64 y x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (/.f64 y x))) 2)
(pow.f64 (/.f64 x (*.f64 y (+.f64 x 1))) -1)
(pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 (+.f64 x 1) x) -3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (*.f64 y (+.f64 x 1))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 (/.f64 y x)))) 2)) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 (/.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 (/.f64 y x))))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 (/.f64 y x)))))
(neg.f64 (/.f64 y (/.f64 (neg.f64 x) (+.f64 x 1))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (/.f64 y x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (/.f64 y x)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 (+.f64 x 1) x) -3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (/.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (/.f64 y x))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 (/.f64 y x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 (/.f64 y x))) 1))
(exp.f64 (.f64 (.f64 3 (+.f64 (log1p.f64 x) (log.f64 (/.f64 y x)))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (+.f64 (log1p.f64 x) (log.f64 (/.f64 y x)))) 3))
(exp.f64 (.f64 (.f64 1/2 (+.f64 (log1p.f64 x) (log.f64 (/.f64 y x)))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 x y)) (log1p.f64 x)) -1))
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 x) (log.f64 (/.f64 y x))) 1) 1))
(fma.f64 x (/.f64 y x) (/.f64 y x))
(fma.f64 y (pow.f64 x -1) (*.f64 x (/.f64 y x)))
(fma.f64 1 (/.f64 y x) (*.f64 x (/.f64 y x)))
(fma.f64 (/.f64 y x) x (*.f64 (/.f64 y x) 1))
(fma.f64 (/.f64 y x) 1 (*.f64 (/.f64 y x) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x)) (*.f64 x (/.f64 y x)))
(fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) (*.f64 x (/.f64 y x)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 y y)) 1) (/.f64 (cbrt.f64 y) x) (.f64 x (/.f64 y x)))
(fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) x) (*.f64 x (/.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 y (cbrt.f64 x)) (*.f64 x (/.f64 y x)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 y y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (.f64 x (/.f64 y x)))
(fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 x)) (*.f64 x (/.f64 y x)))
(fma.f64 (pow.f64 x -1/2) (/.f64 y (sqrt.f64 x)) (*.f64 x (/.f64 y x)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 y y)) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)) (.f64 x (/.f64 y x)))
(fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x (/.f64 y x)))
(+.f64 0 (/.f64 x (+.f64 x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1)
(*.f64 x (/.f64 1 (+.f64 x 1)))
(*.f64 1 (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 x 1)) 1)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)))
(*.f64 (/.f64 1 (+.f64 x 1)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (-.f64 1 x))
(pow.f64 (/.f64 x (+.f64 x 1)) 1)
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2)
(pow.f64 (/.f64 (+.f64 x 1) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 x 1) x) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x))))
(neg.f64 (/.f64 x (fma.f64 -1 x -1)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 3 (-.f64 (log.f64 x) (log1p.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 x))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1))
(exp.f64 (.f64 (.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1) 1))

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

eval141.0ms (3%)

Compiler: Compiled 8850 to 4497 computations (49.2% saved)

prune95.0ms (2%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	581	5	586
Fresh	1	1	2
Picked	1	0	1
Done	0	5	5
Total	583	11	594

Error

Counts

594 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	8.6b	(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
✓	8.6b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
▶	53.5b	(/.f64 x (/.f64 y x))
▶	34.7b	(/.f64 x (+.f64 (/.f64 y x) y))
✓	28.2b	(/.f64 x (+.f64 x 1))
✓	43.3b	(/.f64 x y)
✓	35.6b	(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
▶	34.7b	(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
▶	53.5b	(*.f64 x (/.f64 x y))
	36.5b	x
	54.0b	1

Compiler

Compiled 89 to 58 computations (34.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(*.f64 x (/.f64 x y))

Compiler

Compiled 12 to 4 computations (66.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (+.f64 x 1))
✓	0.1b	(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))

Compiler

Compiled 25 to 13 computations (48% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`log-prod_binary64`
367×	`exp-prod_binary64`
348×	`pow-prod-down_binary64`
240×	`pow2_binary64`
201×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	179	13
2	2675	13

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 x (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (+.f64 x 1) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 y x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 (+.f64 x 1) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 x 1) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y x) (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 x 1) y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1) (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (+.f64 x 1)) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 (+.f64 x 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 x 1) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 y x) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x (+.f64 x 1))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (fma.f64 -1 x -1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (neg.f64 y) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 (+.f64 x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (/.f64 x y))) (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (/.f64 x (+.f64 x 1)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (*.f64 (fma.f64 -1 x -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (fma.f64 -1 x -1) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (*.f64 (+.f64 x 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (*.f64 y (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x y)) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x (+.f64 x 1))) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x (+.f64 x 1))) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x (+.f64 x 1))) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 x (+.f64 x 1))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (+.f64 x 1)) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) y))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) y))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 x 1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 x 1) y) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (*.f64 x (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (/.f64 x (+.f64 x 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) y))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1) (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x y)) 1) (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (*.f64 (log1p.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)) (*.f64 (log.f64 y) 1)))))))

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

708×	`div-sub_binary64`
609×	`associate-/l*_binary64`
597×	`fma-neg_binary64`
375×	`associate-/r*_binary64`
288×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	1464
1	599	1403
2	1620	1249
3	6196	1249

Stop Event

1×	node limit

Counts

96 → 116

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(+.f64 0 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 x (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 x (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 x (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y)))) 1)
(/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y))
(/.f64 x (*.f64 (+.f64 x 1) (/.f64 y x)))
(/.f64 x (*.f64 (/.f64 y x) (+.f64 x 1)))
(/.f64 x (*.f64 y (/.f64 (+.f64 x 1) x)))
(/.f64 x (/.f64 (*.f64 (+.f64 x 1) y) x))
(/.f64 x (/.f64 (+.f64 x 1) (/.f64 x y)))
(/.f64 1 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 y x)))
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 (+.f64 x 1) x)))
(/.f64 1 (/.f64 (.f64 (+.f64 x 1) y) (.f64 x x)))
(/.f64 1 (/.f64 (+.f64 x 1) (*.f64 x (/.f64 x y))))
(/.f64 1 (/.f64 y (*.f64 x (/.f64 x (+.f64 x 1)))))
(/.f64 (/.f64 x (+.f64 x 1)) (/.f64 y x))
(/.f64 (/.f64 x y) (/.f64 (+.f64 x 1) x))
(/.f64 (.f64 x x) (.f64 (+.f64 x 1) y))
(/.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 x 1) x) (neg.f64 y)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (fma.f64 -1 x -1)))
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1))
(/.f64 (*.f64 x (/.f64 x (+.f64 x 1))) y)
(/.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (fma.f64 -1 x -1) (neg.f64 y)))
(/.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (neg.f64 y) (fma.f64 -1 x -1)))
(/.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 (+.f64 x 1) y)))
(/.f64 (neg.f64 (*.f64 x (/.f64 x y))) (fma.f64 -1 x -1))
(/.f64 (neg.f64 (*.f64 x (/.f64 x (+.f64 x 1)))) (neg.f64 y))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (fma.f64 -1 x -1) y))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) (+.f64 x 1)))
(/.f64 (.f64 (neg.f64 x) 1) (.f64 (fma.f64 -1 x -1) (/.f64 y x)))
(/.f64 (.f64 (neg.f64 x) 1) (.f64 (neg.f64 y) (/.f64 (+.f64 x 1) x)))
(/.f64 (.f64 x (neg.f64 x)) (.f64 (+.f64 x 1) (neg.f64 y)))
(/.f64 (.f64 x (neg.f64 x)) (.f64 y (fma.f64 -1 x -1)))
(/.f64 (/.f64 (*.f64 x (/.f64 x y)) 1) (+.f64 x 1))
(/.f64 (/.f64 (*.f64 x (/.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (*.f64 x (/.f64 x (+.f64 x 1))) 1) y)
(/.f64 (/.f64 (.f64 x (/.f64 x (+.f64 x 1))) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x (/.f64 x (+.f64 x 1))) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (fma.f64 -1 x -1))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x (+.f64 x 1))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x (+.f64 x 1)) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (fma.f64 -1 x -1))
(pow.f64 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y)) 1)
(pow.f64 (E.f64) (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) y))) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) y))) 6) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y))) 3)
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) y))) 2)
(pow.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 y x)) -1)
(pow.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 x 1) x)) -1)
(pow.f64 (/.f64 (.f64 (+.f64 x 1) y) (.f64 x x)) -1)
(pow.f64 (/.f64 (+.f64 x 1) (*.f64 x (/.f64 x y))) -1)
(pow.f64 (/.f64 y (*.f64 x (/.f64 x (+.f64 x 1)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (.f64 x (/.f64 x y))) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 (.f64 x (/.f64 x y))) (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (.f64 x (/.f64 x y))) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 (.f64 x (/.f64 x y))) (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) y))) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 x (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y)))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) y))) 6))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y))))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y))))
(exp.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 x (/.f64 x y))) (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 3 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 x (.f64 (/.f64 (+.f64 x 1) x) y)))) 3))
(exp.f64 (.f64 (log.f64 (/.f64 x (sqrt.f64 (.f64 (+.f64 x 1) y)))) 2))
(exp.f64 (.f64 (.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)) 1) 1))
(exp.f64 (-.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1) (log.f64 (/.f64 y x))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x y)) 1) (-.f64 (log1p.f64 x) (log.f64 x))))
(exp.f64 (-.f64 (log.f64 (.f64 x (/.f64 x y))) (.f64 (log1p.f64 x) 1)))
(exp.f64 (-.f64 (-.f64 (.f64 2 (log.f64 x)) (log1p.f64 x)) (.f64 (log.f64 y) 1)))

Outputs
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (*.f64 x (/.f64 x y)))
(-.f64 (*.f64 x (/.f64 x y)) (/.f64 (pow.f64 x 3) y))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (*.f64 x (/.f64 x y))) (/.f64 (pow.f64 x 4) y))
(+.f64 (-.f64 (*.f64 x (/.f64 x y)) (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 4) y))
(fma.f64 x (/.f64 x y) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y)))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 (pow.f64 x 4) y) (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (fma.f64 -1 (/.f64 (pow.f64 x 5) y) (*.f64 x (/.f64 x y)))))
(+.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (-.f64 (*.f64 x (/.f64 x y)) (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 3) y)))
(-.f64 (fma.f64 x (/.f64 x y) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 x 5) y))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (/.f64 1 (*.f64 x y)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (*.f64 x x)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 1 x) y)) (/.f64 1 (.f64 x (.f64 x y)))) (/.f64 1 y))
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (-.f64 (/.f64 1 (.f64 x y)) (/.f64 1 (.f64 x (*.f64 x y)))))
(+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (.f64 x y)) (/.f64 -1 y)) (/.f64 (/.f64 -1 y) (.f64 x x))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (/.f64 1 (*.f64 x y)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (*.f64 x x)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 1 x) y)) (/.f64 1 (.f64 x (.f64 x y)))) (/.f64 1 y))
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (-.f64 (/.f64 1 (.f64 x y)) (/.f64 1 (.f64 x (*.f64 x y)))))
(+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (.f64 x y)) (/.f64 -1 y)) (/.f64 (/.f64 -1 y) (.f64 x x))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) (+.f64 x 1)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) (+.f64 x 1)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) (+.f64 x 1)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) (+.f64 x 1)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) (+.f64 x 1)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) (+.f64 x 1)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) (+.f64 x 1)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) (+.f64 x 1)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) (+.f64 x 1)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) (+.f64 x 1)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) (+.f64 x 1)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) (+.f64 x 1)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(+.f64 0 (/.f64 x (*.f64 (/.f64 (+.f64 x 1) x) y)))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) (+.f64 x 1)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
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(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x y)) 1) (-.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (E.f64) (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)))
(/.f64 (*.f64 x (/.f64 x y)) (exp.f64 (log1p.f64 x)))
(*.f64 (/.f64 x y) (/.f64 x (exp.f64 (log1p.f64 x))))
(*.f64 x (/.f64 (/.f64 x y) (exp.f64 (log1p.f64 x))))
(exp.f64 (-.f64 (log.f64 (.f64 x (/.f64 x y))) (.f64 (log1p.f64 x) 1)))
(pow.f64 (E.f64) (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)))
(/.f64 (*.f64 x (/.f64 x y)) (exp.f64 (log1p.f64 x)))
(*.f64 (/.f64 x y) (/.f64 x (exp.f64 (log1p.f64 x))))
(*.f64 x (/.f64 (/.f64 x y) (exp.f64 (log1p.f64 x))))
(exp.f64 (-.f64 (-.f64 (.f64 2 (log.f64 x)) (log1p.f64 x)) (.f64 (log.f64 y) 1)))
(pow.f64 (E.f64) (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)))
(/.f64 (*.f64 x (/.f64 x y)) (exp.f64 (log1p.f64 x)))
(*.f64 (/.f64 x y) (/.f64 x (exp.f64 (log1p.f64 x))))
(*.f64 x (/.f64 (/.f64 x y) (exp.f64 (log1p.f64 x))))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (+.f64 (/.f64 y x) y))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`pow1_binary64`
826×	`add-log-exp_binary64`
826×	`log1p-expm1-u_binary64`
826×	`expm1-log1p-u_binary64`
807×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	140	10
2	2195	10

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

617×	`fma-neg_binary64`
467×	`log-prod_binary64`
434×	`log-div_binary64`
356×	`times-frac_binary64`
326×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	127	882
1	335	750
2	1051	750
3	4949	750

Stop Event

1×	node limit

Counts

57 → 70

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(/.f64 x (*.f64 y (+.f64 1 (/.f64 1 x))))
(/.f64 x (*.f64 y (+.f64 1 (/.f64 1 x))))
(/.f64 x (*.f64 y (+.f64 1 (/.f64 1 x))))
(/.f64 x (*.f64 y (+.f64 1 (/.f64 1 x))))
(/.f64 x (*.f64 y (+.f64 1 (/.f64 1 x))))
(/.f64 x (*.f64 y (+.f64 1 (/.f64 1 x))))
(/.f64 x (*.f64 y (+.f64 1 (/.f64 1 x))))
(/.f64 x (*.f64 y (+.f64 1 (/.f64 1 x))))
(/.f64 x (*.f64 y (+.f64 1 (/.f64 1 x))))
(/.f64 x (*.f64 y (+.f64 1 (/.f64 1 x))))
(/.f64 x (*.f64 y (+.f64 1 (/.f64 1 x))))
(/.f64 x (*.f64 y (+.f64 1 (/.f64 1 x))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 y (/.f64 y x)))) 1)
(*.f64 x (/.f64 1 (+.f64 y (/.f64 y x))))
(*.f64 (/.f64 x (+.f64 y (/.f64 y x))) 1)
(*.f64 1 (/.f64 x (+.f64 y (/.f64 y x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 y (/.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y (/.f64 y x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y (/.f64 y x)))) 2) (cbrt.f64 (/.f64 x (+.f64 y (/.f64 y x)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 y (/.f64 y x)))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 y (/.f64 y x)))) (sqrt.f64 (/.f64 x (+.f64 y (/.f64 y x)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 y (/.f64 y x)))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 y (/.f64 y x)))))
(*.f64 (/.f64 1 (+.f64 y (/.f64 y x))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 y (/.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 y (/.f64 y x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y (/.f64 y x))) 2)) (/.f64 x (cbrt.f64 (+.f64 y (/.f64 y x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 y (/.f64 y x))) 2)) (cbrt.f64 (/.f64 x (+.f64 y (/.f64 y x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 y (/.f64 y x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 y (/.f64 y x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y (/.f64 y x)))) (/.f64 x (sqrt.f64 (+.f64 y (/.f64 y x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 y (/.f64 y x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 y (/.f64 y x)))))
(.f64 (/.f64 x (+.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 y 3))) (+.f64 (pow.f64 (/.f64 y x) 2) (.f64 y (-.f64 y (/.f64 y x)))))
(.f64 (/.f64 x (-.f64 (pow.f64 (/.f64 y x) 2) (.f64 y y))) (-.f64 (/.f64 y x) y))
(pow.f64 (/.f64 x (+.f64 y (/.f64 y x))) 1)
(pow.f64 (pow.f64 (/.f64 x (+.f64 y (/.f64 y x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 y (/.f64 y x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 y (/.f64 y x)))) 2)
(pow.f64 (/.f64 (+.f64 y (/.f64 y x)) x) -1)
(neg.f64 (/.f64 x (neg.f64 (+.f64 y (/.f64 y x)))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y (/.f64 y x))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 y (/.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 y (/.f64 y x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y (/.f64 y x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y (/.f64 y x)))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y (/.f64 y x)))))
(exp.f64 (log.f64 (/.f64 x (+.f64 y (/.f64 y x)))))

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (/.f64 y x))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite40.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`pow1_binary64`
592×	`add-log-exp_binary64`
592×	`log1p-expm1-u_binary64`
592×	`expm1-log1p-u_binary64`
578×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	110	7
2	1605	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

451×	`log-div_binary64`
413×	`log-prod_binary64`
344×	`fma-def_binary64`
327×	`associate-/l*_binary64`
314×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	455
1	258	455
2	849	455
3	4172	455

Stop Event

1×	node limit

Counts

62 → 42

Calls

Call 1

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

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

eval64.0ms (1.4%)

Compiler: Compiled 4148 to 1883 computations (54.6% saved)

prune50.0ms (1%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	330	1	331
Fresh	0	2	2
Picked	0	1	1
Done	0	8	8
Total	330	12	342

Error

Counts

342 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	8.6b	(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
✓	8.6b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
✓	53.5b	(/.f64 x (/.f64 y x))
✓	34.7b	(/.f64 x (+.f64 (/.f64 y x) y))
✓	28.2b	(/.f64 x (+.f64 x 1))
✓	43.3b	(/.f64 x y)
✓	35.6b	(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
✓	34.7b	(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
▶	55.6b	(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 x)))
✓	53.5b	(*.f64 x (/.f64 x y))
	36.5b	x
	54.0b	1

Compiler

Compiled 100 to 66 computations (34% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 1 x))
✓	10.7b	(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 x)))

Compiler

Compiled 25 to 16 computations (36% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite46.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`pow1_binary64`
777×	`add-log-exp_binary64`
777×	`log1p-expm1-u_binary64`
777×	`expm1-log1p-u_binary64`
758×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	11
2	2362	11

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

727×	`unswap-sqr_binary64`
612×	`fma-neg_binary64`
531×	`associate-/r/_binary64`
426×	`log-div_binary64`
205×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	749
1	475	733
2	1730	730
3	7195	730

Stop Event

1×	node limit

Counts

114 → 90

Calls

Call 1

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

Outputs
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (+.f64 1 (*.f64 x (/.f64 x y))) 1)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 1 (*.f64 y (pow.f64 x -2)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 1 (*.f64 (pow.f64 x -2) y))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 1 (/.f64 (/.f64 y x) x))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 x x)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 1 (/.f64 (/.f64 1 x) (/.f64 x y)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (/.f64 1 y) (pow.f64 x -2))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(/.f64 x (*.f64 (neg.f64 y) (/.f64 -1 x)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 y x) (cbrt.f64 x)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (/.f64 y (pow.f64 (cbrt.f64 x) 2)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y x) (sqrt.f64 x)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 -1 (*.f64 (neg.f64 y) (pow.f64 x -2)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 -1 (*.f64 (pow.f64 x -2) (neg.f64 y)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y x)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 1 x)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (neg.f64 x) (*.f64 y (/.f64 -1 x)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (/.f64 x y) (/.f64 1 x))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 y))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 -1 x))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (.f64 (neg.f64 x) 1) (.f64 (/.f64 -1 x) y))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (.f64 x -1) (.f64 (/.f64 1 x) (neg.f64 y)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (.f64 (neg.f64 x) -1) (.f64 (/.f64 -1 x) (neg.f64 y)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (/.f64 (/.f64 x y) 1) (/.f64 1 x))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (/.f64 (/.f64 x y) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(/.f64 (/.f64 x (*.f64 (cbrt.f64 (pow.f64 x -2)) y)) (cbrt.f64 (/.f64 1 x)))
(/.f64 x (.f64 (.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -1))) y))
(/.f64 x (.f64 y (.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)))))
(/.f64 (/.f64 (/.f64 x y) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (.f64 -1 (.f64 x x)) (neg.f64 y))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 (neg.f64 x) (/.f64 1 y)) (/.f64 -1 x))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 (/.f64 1 y) (neg.f64 x)) (/.f64 -1 x))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(/.f64 (.f64 (.f64 x x) -1) (neg.f64 y))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(pow.f64 (*.f64 x (/.f64 x y)) 1)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(pow.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3) 1/3)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(pow.f64 (/.f64 x (sqrt.f64 y)) 2)
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(log.f64 (exp.f64 (*.f64 x (/.f64 x y))))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 y 3)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(cbrt.f64 (.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (.f64 x x) 3)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (/.f64 (pow.f64 y -2) y)))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y))))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y))))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(exp.f64 (log.f64 (*.f64 x (/.f64 x y))))
(*.f64 x (/.f64 x y))
(/.f64 x (/.f64 y x))
(-.f64 (+.f64 1 (*.f64 x x)) 1)
(*.f64 x x)
(.f64 1 (.f64 x x))
(*.f64 x x)
(*.f64 x x)
(.f64 (.f64 x x) 1)
(*.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2))
(*.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 x (cbrt.f64 (/.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 x (cbrt.f64 (pow.f64 x -1))))
(/.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 (/.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x))
(*.f64 x x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (pow.f64 (cbrt.f64 x) 2))
(*.f64 x x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(*.f64 x x)
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 x)))
(*.f64 x x)
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 x)))
(*.f64 x x)
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(*.f64 x x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x -2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (cbrt.f64 (pow.f64 x -2)))
(/.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1 x))))
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -1)))
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 x (pow.f64 x -1/2)))
(/.f64 (/.f64 x (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 x (pow.f64 x -1/2)))
(/.f64 (/.f64 x (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (/.f64 x -1) (neg.f64 x))
(*.f64 x x)
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 (*.f64 x x) 1)
(*.f64 x x)
(pow.f64 (pow.f64 (*.f64 x x) 3) 1/3)
(*.f64 x x)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 3)
(*.f64 x x)
(pow.f64 (pow.f64 x -2) -1)
(*.f64 x x)
(neg.f64 (/.f64 x (/.f64 -1 x)))
(*.f64 x x)
(sqrt.f64 (pow.f64 (*.f64 x x) 2))
(*.f64 x x)
(log.f64 (pow.f64 (exp.f64 x) x))
(*.f64 x x)
(cbrt.f64 (pow.f64 (*.f64 x x) 3))
(*.f64 x x)
(cbrt.f64 (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 x -2) x)))
(*.f64 x x)
(expm1.f64 (log1p.f64 (*.f64 x x)))
(*.f64 x x)
(log1p.f64 (expm1.f64 (*.f64 x x)))
(*.f64 x x)
(exp.f64 (log.f64 (*.f64 x x)))
(*.f64 x x)

eval18.0ms (0.4%)

Compiler: Compiled 924 to 533 computations (42.3% saved)

prune18.0ms (0.4%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	2	2
Picked	1	0	1
Done	0	9	9
Total	90	12	102

Error

Counts

102 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	8.6b	(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
✓	8.6b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
✓	53.5b	(/.f64 x (/.f64 y x))
✓	34.7b	(/.f64 x (+.f64 (/.f64 y x) y))
✓	28.2b	(/.f64 x (+.f64 x 1))
✓	43.3b	(/.f64 x y)
✓	35.6b	(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
✓	34.7b	(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
	55.6b	(.f64 (/.f64 1 y) (.f64 x x))
✓	53.5b	(*.f64 x (/.f64 x y))
	36.5b	x
	54.0b	1

Compiler

Compiled 98 to 64 computations (34.7% saved)

regimes36.0ms (0.8%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y
8.0ms	x
8.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
8.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))`
0.1b	1	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))`

Compiler

Compiled 146 to 77 computations (47.3% saved)

regimes88.0ms (1.8%)

Counts

13 → 5

Calls

Call 1

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

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

Calls

2 calls:

52.0ms	y
33.0ms	x

Results

Error	Segments	Branch
6.9b	5	`x`
14.6b	7	`y`

Compiler

Compiled 87 to 43 computations (50.6% saved)

bsearch47.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
16.0ms	58.278228232840924	6024759.371944458
7.0ms	1.6020961397570196e-27	2.6717375763058223e-27
7.0ms	-4.0641383982044e-43	-2.6264680736926642e-43
16.0ms	-24107.744036043532	-0.05993156966876941

Results

41.0ms

416×

body

256

valid

Compiler

Compiled 578 to 407 computations (29.6% saved)

regimes85.0ms (1.8%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

2 calls:

51.0ms	y
31.0ms	x

Results

Error	Segments	Branch
6.9b	5	`x`
14.6b	7	`y`

Compiler

Compiled 78 to 40 computations (48.7% saved)

bsearch47.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
16.0ms	58.278228232840924	6024759.371944458
7.0ms	1.6020961397570196e-27	2.6717375763058223e-27
7.0ms	-4.0641383982044e-43	-2.6264680736926642e-43
16.0ms	-24107.744036043532	-0.05993156966876941

Results

41.0ms

416×

body

256

valid

Compiler

Compiled 578 to 407 computations (29.6% saved)

regimes85.0ms (1.8%)

Counts

10 → 7

Calls

Call 1

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

Outputs
(/.f64 x y)
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
x
(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))
(/.f64 x (+.f64 x 1))
(/.f64 x y)

Calls

2 calls:

45.0ms	y
38.0ms	x

Results

Error	Segments	Branch
12.4b	7	`x`
14.6b	7	`y`

Compiler

Compiled 60 to 30 computations (50% saved)

bsearch68.0ms (1.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
12.0ms	1.2426893720908501e+110	8.949801635129192e+110
14.0ms	1.1038892076511741e+66	3.480765762481996e+69
8.0ms	1.6020961397570196e-27	2.6717375763058223e-27
7.0ms	-4.0641383982044e-43	-2.6264680736926642e-43
16.0ms	-24107.744036043532	-0.05993156966876941
11.0ms	-35387962871765260.0	-4373282217503678.0

Results

59.0ms	592×	body	256	valid
2.0ms	22×	body	256	infinite

Compiler

Compiled 654 to 459 computations (29.8% saved)

regimes80.0ms (1.7%)

Counts

9 → 7

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	y
36.0ms	x

Results

Error	Segments	Branch
12.4b	7	`x`
14.6b	7	`y`

Compiler

Compiled 51 to 26 computations (49% saved)

bsearch73.0ms (1.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
12.0ms	1.2426893720908501e+110	8.949801635129192e+110
15.0ms	1.1038892076511741e+66	3.480765762481996e+69
7.0ms	1.6020961397570196e-27	2.6717375763058223e-27
11.0ms	-4.0641383982044e-43	-2.6264680736926642e-43
16.0ms	-24107.744036043532	-0.05993156966876941
11.0ms	-35387962871765260.0	-4373282217503678.0

Results

64.0ms	592×	body	256	valid
2.0ms	21×	body	256	infinite

Compiler

Compiled 604 to 409 computations (32.3% saved)

regimes73.0ms (1.5%)

Counts

7 → 8

Calls

Call 1

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

Outputs
(/.f64 x y)
(/.f64 x (+.f64 x 1))
(*.f64 x (/.f64 x y))
x
(.f64 (/.f64 1 y) (.f64 x x))
(/.f64 x y)
(/.f64 x (+.f64 x 1))
(/.f64 x y)

Calls

2 calls:

36.0ms	y
35.0ms	x

Results

Error	Segments	Branch
12.9b	8	`x`
18.5b	7	`y`

Compiler

Compiled 35 to 18 computations (48.6% saved)

bsearch85.0ms (1.8%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
12.0ms	1.2426893720908501e+110	8.949801635129192e+110
15.0ms	1.1038892076511741e+66	3.480765762481996e+69
15.0ms	2.2479135666910772e-6	58.278228232840924
7.0ms	1.6020961397570196e-27	2.6717375763058223e-27
7.0ms	-4.0641383982044e-43	-2.6264680736926642e-43
16.0ms	-24107.744036043532	-0.05993156966876941
11.0ms	-35387962871765260.0	-4373282217503678.0

Results

73.0ms	736×	body	256	valid
3.0ms	25×	body	256	infinite

Compiler

Compiled 690 to 483 computations (30% saved)

regimes70.0ms (1.5%)

Counts

6 → 8

Calls

Call 1

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

Outputs
(/.f64 x y)
(/.f64 x (+.f64 x 1))
(*.f64 x (/.f64 x y))
x
(*.f64 x (/.f64 x y))
(/.f64 x y)
(/.f64 x (+.f64 x 1))
(/.f64 x y)

Calls

2 calls:

35.0ms	y
33.0ms	x

Results

Error	Segments	Branch
12.9b	8	`x`
18.5b	7	`y`

Compiler

Compiled 28 to 14 computations (50% saved)

bsearch85.0ms (1.8%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
12.0ms	1.2426893720908501e+110	8.949801635129192e+110
16.0ms	1.1038892076511741e+66	3.480765762481996e+69
16.0ms	2.2479135666910772e-6	58.278228232840924
7.0ms	1.6020961397570196e-27	2.6717375763058223e-27
7.0ms	-4.0641383982044e-43	-2.6264680736926642e-43
16.0ms	-24107.744036043532	-0.05993156966876941
10.0ms	-35387962871765260.0	-4373282217503678.0

Results

74.0ms	736×	body	256	valid
3.0ms	28×	body	256	infinite

Compiler

Compiled 664 to 457 computations (31.2% saved)

regimes59.0ms (1.3%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	y
24.0ms	x

Results

Error	Segments	Branch
14.0b	7	`x`
25.7b	10	`y`

Compiler

Compiled 18 to 9 computations (50% saved)

bsearch72.0ms (1.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
12.0ms	1.2426893720908501e+110	8.949801635129192e+110
17.0ms	1.1038892076511741e+66	3.480765762481996e+69
15.0ms	2.2479135666910772e-6	58.278228232840924
7.0ms	1.6020961397570196e-27	2.6717375763058223e-27
7.0ms	-4.0641383982044e-43	-2.6264680736926642e-43
14.0ms	-4373282217503678.0	-931730053772.8254

Results

62.0ms	624×	body	256	valid
3.0ms	30×	body	256	infinite

Compiler

Compiled 492 to 342 computations (30.5% saved)

regimes94.0ms (2%)

Counts

3 → 5

Calls

Call 1

Inputs
1
x
(/.f64 x y)

Outputs
(/.f64 x y)
x
(/.f64 x y)
1
(/.f64 x y)

Calls

2 calls:

60.0ms	x
33.0ms	y

Results

Error	Segments	Branch
16.6b	5	`x`
30.4b	7	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch51.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
12.0ms	1.2426893720908501e+110	8.949801635129192e+110
16.0ms	1.1038892076511741e+66	3.480765762481996e+69
7.0ms	1.6020961397570196e-27	2.6717375763058223e-27
16.0ms	-24107.744036043532	-0.05993156966876941

Results

44.0ms	432×	body	256	valid
2.0ms	24×	body	256	infinite

Compiler

Compiled 288 to 216 computations (25% saved)

regimes59.0ms (1.2%)

Accuracy

Total -33.4b remaining (-116.3%)

Threshold costs -33.4b (-116.3%)

Counts

2 → 3

Calls

Call 1

Inputs
1
x

Outputs
1
x
1

Calls

2 calls:

55.0ms	x
3.0ms	y

Results

Error	Segments	Branch
28.7b	3	`x`
36.5b	1	`y`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch24.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
8.0ms	1.6020961397570196e-27	2.6717375763058223e-27
15.0ms	-24107.744036043532	-0.05993156966876941

Results

22.0ms

208×

body

256

valid

Compiler

Compiled 122 to 104 computations (14.8% saved)

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	621
1	139	621
2	144	621
3	146	621
4	147	621

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
(if (<=.f64 x -820) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) (if (<=.f64 x -8034690221294951/25108406941546723055343157692830665664409421777856138051584) (/.f64 (.f64 x (/.f64 x y)) (+.f64 x 1)) (if (<=.f64 x 7247742189522453/2787593149816327892691964784081045188247552) x (if (<=.f64 x 80000) (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))))
(if (<=.f64 x -7900) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) (if (<=.f64 x -145157977630817/392318858461667547739736838950479151006397215279002157056) (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) (if (<=.f64 x 7387121847013269/2787593149816327892691964784081045188247552) x (if (<=.f64 x 3700) (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))))
(if (<=.f64 x -15500000000000000) (/.f64 x y) (if (<=.f64 x -5584463537939415/18014398509481984) (/.f64 x (+.f64 x 1)) (if (<=.f64 x -5021681388309345/12554203470773361527671578846415332832204710888928069025792) (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) (if (<=.f64 x 7387121847013269/2787593149816327892691964784081045188247552) x (if (<=.f64 x 309999999999999984172356756626841430150420388232692215742167093608448) (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) (if (<=.f64 x 131999999999999995101205127167060961007606930811687976173006496345965292936127319369652864052801272768517636096) (/.f64 x (+.f64 x 1)) (/.f64 x y)))))))
(if (<=.f64 x -31500000000000000) (/.f64 x y) (if (<=.f64 x -7782220156096217/72057594037927936) (/.f64 x (+.f64 x 1)) (if (<=.f64 x -5021681388309345/12554203470773361527671578846415332832204710888928069025792) (/.f64 x (+.f64 (/.f64 y x) y)) (if (<=.f64 x 6829603217050003/2787593149816327892691964784081045188247552) x (if (<=.f64 x 399999999999999981122088900552667226765005165411446794121686493954048) (/.f64 x (+.f64 (/.f64 y x) y)) (if (<=.f64 x 144999999999999998411338674115054090207850131448360101553748593920495912364214682893427375132528889871718154240) (/.f64 x (+.f64 x 1)) (/.f64 x y)))))))
(if (<=.f64 x -8500000000000000) (/.f64 x y) (if (<=.f64 x -1080863910568919/18014398509481984) (/.f64 x (+.f64 x 1)) (if (<=.f64 x -5021681388309345/12554203470773361527671578846415332832204710888928069025792) (.f64 x (/.f64 x y)) (if (<=.f64 x 7387121847013269/2787593149816327892691964784081045188247552) x (if (<=.f64 x 1) (.f64 (/.f64 1 y) (*.f64 x x)) (if (<=.f64 x 240000000000000007829447601155211065538340938625732871707250923667456) (/.f64 x y) (if (<=.f64 x 124999999999999994602471580205226969800638059657297285224424526952860325952638936019242866368429040255593611264) (/.f64 x (+.f64 x 1)) (/.f64 x y))))))))
(if (<=.f64 x -31000000000000000) (/.f64 x y) (if (<=.f64 x -1080863910568919/18014398509481984) (/.f64 x (+.f64 x 1)) (if (<=.f64 x -5021681388309345/12554203470773361527671578846415332832204710888928069025792) (.f64 x (/.f64 x y)) (if (<=.f64 x 5853945614614289/2787593149816327892691964784081045188247552) x (if (<=.f64 x 1) (.f64 x (/.f64 x y)) (if (<=.f64 x 240000000000000007829447601155211065538340938625732871707250923667456) (/.f64 x y) (if (<=.f64 x 124999999999999994602471580205226969800638059657297285224424526952860325952638936019242866368429040255593611264) (/.f64 x (+.f64 x 1)) (/.f64 x y))))))))
(if (<=.f64 x -950000000000) (/.f64 x y) (if (<=.f64 x -8787942429541353/25108406941546723055343157692830665664409421777856138051584) (.f64 x (/.f64 x y)) (if (<=.f64 x 1742245718635205/696898287454081973172991196020261297061888) x (if (<=.f64 x 1) (.f64 x (/.f64 x y)) (if (<=.f64 x 229999999999999997526036106928113349537088274839835254534949308465152) (/.f64 x y) (if (<=.f64 x 129999999999999999726538033215711254580217847467469463140162813922606663858348513015561895474767576923222573056) 1 (/.f64 x y)))))))
(if (<=.f64 x -1) (/.f64 x y) (if (<=.f64 x 7387121847013269/2787593149816327892691964784081045188247552) x (if (<=.f64 x 1300000000000000094290867295988005664005886732540478542173673202122752) (/.f64 x y) (if (<=.f64 x 124999999999999994602471580205226969800638059657297285224424526952860325952638936019242866368429040255593611264) 1 (/.f64 x y)))))
(if (<=.f64 x -1) 1 (if (<=.f64 x 7387121847013269/2787593149816327892691964784081045188247552) x 1))
1

Outputs
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))
(if (<=.f64 x -820) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) (if (<=.f64 x -8034690221294951/25108406941546723055343157692830665664409421777856138051584) (/.f64 (.f64 x (/.f64 x y)) (+.f64 x 1)) (if (<=.f64 x 7247742189522453/2787593149816327892691964784081045188247552) x (if (<=.f64 x 80000) (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))))
(if (<=.f64 x -820) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) (if (<=.f64 x -8034690221294951/25108406941546723055343157692830665664409421777856138051584) (/.f64 (.f64 x (/.f64 x y)) (+.f64 x 1)) (if (<=.f64 x 7247742189522453/2787593149816327892691964784081045188247552) x (if (<=.f64 x 80000) (.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))))
(if (<=.f64 x -7900) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) (if (<=.f64 x -145157977630817/392318858461667547739736838950479151006397215279002157056) (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) (if (<=.f64 x 7387121847013269/2787593149816327892691964784081045188247552) x (if (<=.f64 x 3700) (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))))
(if (<=.f64 x -7900) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) (if (<=.f64 x -145157977630817/392318858461667547739736838950479151006397215279002157056) (.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (if (<=.f64 x 7387121847013269/2787593149816327892691964784081045188247552) x (if (<=.f64 x 3700) (.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))))
(if (<=.f64 x -15500000000000000) (/.f64 x y) (if (<=.f64 x -5584463537939415/18014398509481984) (/.f64 x (+.f64 x 1)) (if (<=.f64 x -5021681388309345/12554203470773361527671578846415332832204710888928069025792) (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) (if (<=.f64 x 7387121847013269/2787593149816327892691964784081045188247552) x (if (<=.f64 x 309999999999999984172356756626841430150420388232692215742167093608448) (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) (if (<=.f64 x 131999999999999995101205127167060961007606930811687976173006496345965292936127319369652864052801272768517636096) (/.f64 x (+.f64 x 1)) (/.f64 x y)))))))
(if (<=.f64 x -15500000000000000) (/.f64 x y) (if (<=.f64 x -5584463537939415/18014398509481984) (/.f64 x (+.f64 x 1)) (if (<=.f64 x -5021681388309345/12554203470773361527671578846415332832204710888928069025792) (.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (if (<=.f64 x 7387121847013269/2787593149816327892691964784081045188247552) x (if (<=.f64 x 309999999999999984172356756626841430150420388232692215742167093608448) (.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (if (<=.f64 x 131999999999999995101205127167060961007606930811687976173006496345965292936127319369652864052801272768517636096) (/.f64 x (+.f64 x 1)) (/.f64 x y)))))))
(if (<=.f64 x -31500000000000000) (/.f64 x y) (if (<=.f64 x -7782220156096217/72057594037927936) (/.f64 x (+.f64 x 1)) (if (<=.f64 x -5021681388309345/12554203470773361527671578846415332832204710888928069025792) (/.f64 x (+.f64 (/.f64 y x) y)) (if (<=.f64 x 6829603217050003/2787593149816327892691964784081045188247552) x (if (<=.f64 x 399999999999999981122088900552667226765005165411446794121686493954048) (/.f64 x (+.f64 (/.f64 y x) y)) (if (<=.f64 x 144999999999999998411338674115054090207850131448360101553748593920495912364214682893427375132528889871718154240) (/.f64 x (+.f64 x 1)) (/.f64 x y)))))))
(if (<=.f64 x -31500000000000000) (/.f64 x y) (if (<=.f64 x -7782220156096217/72057594037927936) (/.f64 x (+.f64 x 1)) (if (<=.f64 x -5021681388309345/12554203470773361527671578846415332832204710888928069025792) (/.f64 x (+.f64 y (/.f64 y x))) (if (<=.f64 x 6829603217050003/2787593149816327892691964784081045188247552) x (if (<=.f64 x 399999999999999981122088900552667226765005165411446794121686493954048) (/.f64 x (+.f64 y (/.f64 y x))) (if (<=.f64 x 144999999999999998411338674115054090207850131448360101553748593920495912364214682893427375132528889871718154240) (/.f64 x (+.f64 x 1)) (/.f64 x y)))))))
(if (<=.f64 x -8500000000000000) (/.f64 x y) (if (<=.f64 x -1080863910568919/18014398509481984) (/.f64 x (+.f64 x 1)) (if (<=.f64 x -5021681388309345/12554203470773361527671578846415332832204710888928069025792) (.f64 x (/.f64 x y)) (if (<=.f64 x 7387121847013269/2787593149816327892691964784081045188247552) x (if (<=.f64 x 1) (.f64 (/.f64 1 y) (*.f64 x x)) (if (<=.f64 x 240000000000000007829447601155211065538340938625732871707250923667456) (/.f64 x y) (if (<=.f64 x 124999999999999994602471580205226969800638059657297285224424526952860325952638936019242866368429040255593611264) (/.f64 x (+.f64 x 1)) (/.f64 x y))))))))
(if (<=.f64 x -31000000000000000) (/.f64 x y) (if (<=.f64 x -1080863910568919/18014398509481984) (/.f64 x (+.f64 x 1)) (if (<=.f64 x -5021681388309345/12554203470773361527671578846415332832204710888928069025792) (.f64 x (/.f64 x y)) (if (<=.f64 x 5853945614614289/2787593149816327892691964784081045188247552) x (if (<=.f64 x 1) (.f64 x (/.f64 x y)) (if (<=.f64 x 240000000000000007829447601155211065538340938625732871707250923667456) (/.f64 x y) (if (<=.f64 x 124999999999999994602471580205226969800638059657297285224424526952860325952638936019242866368429040255593611264) (/.f64 x (+.f64 x 1)) (/.f64 x y))))))))
(if (<=.f64 x -950000000000) (/.f64 x y) (if (<=.f64 x -8787942429541353/25108406941546723055343157692830665664409421777856138051584) (.f64 x (/.f64 x y)) (if (<=.f64 x 1742245718635205/696898287454081973172991196020261297061888) x (if (<=.f64 x 1) (.f64 x (/.f64 x y)) (if (<=.f64 x 229999999999999997526036106928113349537088274839835254534949308465152) (/.f64 x y) (if (<=.f64 x 129999999999999999726538033215711254580217847467469463140162813922606663858348513015561895474767576923222573056) 1 (/.f64 x y)))))))
(if (<=.f64 x -1) (/.f64 x y) (if (<=.f64 x 7387121847013269/2787593149816327892691964784081045188247552) x (if (<=.f64 x 1300000000000000094290867295988005664005886732540478542173673202122752) (/.f64 x y) (if (<=.f64 x 124999999999999994602471580205226969800638059657297285224424526952860325952638936019242866368429040255593611264) 1 (/.f64 x y)))))
(if (<=.f64 x -1) 1 (if (<=.f64 x 7387121847013269/2787593149816327892691964784081045188247552) x 1))
1

Compiler

Compiled 455 to 258 computations (43.3% saved)

soundness230.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

971×	`fma-def_binary64`
682×	`distribute-rgt-in_binary64`
629×	`distribute-lft-in_binary64`
559×	`associate-/l*_binary64`
519×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	22	14
2	36	14
3	81	14
4	143	14
5	285	14
6	742	14
7	1089	14
8	1620	14
9	1850	14
10	2280	14
11	2944	14
12	3273	14
13	3812	14
14	7717	14

Stop Event

1×	node limit

Compiler

Compiled 26 to 18 computations (30.8% saved)

end180.0ms (3.8%)

Compiler: Compiled 435 to 227 computations (47.8% saved)

Details

analyze133.0ms (2.8%)

sample1.0s (21.8%)

preprocess101.0ms (2.1%)

simplify67.0ms (1.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.3%)

series9.0ms (0.2%)

rewrite58.0ms (1.2%)

simplify73.0ms (1.5%)

localize11.0ms (0.2%)

series5.0ms (0.1%)

rewrite57.0ms (1.2%)

simplify57.0ms (1.2%)

eval118.0ms (2.5%)

prune68.0ms (1.4%)

localize10.0ms (0.2%)

series8.0ms (0.2%)

rewrite64.0ms (1.3%)

simplify70.0ms (1.5%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite38.0ms (0.8%)

simplify43.0ms (0.9%)

localize9.0ms (0.2%)

localize14.0ms (0.3%)

series7.0ms (0.2%)

rewrite68.0ms (1.4%)

simplify79.0ms (1.7%)

eval141.0ms (3%)

prune95.0ms (2%)

localize5.0ms (0.1%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite54.0ms (1.1%)

simplify63.0ms (1.3%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite44.0ms (0.9%)

simplify44.0ms (0.9%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite40.0ms (0.8%)

simplify38.0ms (0.8%)

eval64.0ms (1.4%)

prune50.0ms (1%)

localize10.0ms (0.2%)

series3.0ms (0.1%)

rewrite46.0ms (1%)

simplify53.0ms (1.1%)

eval18.0ms (0.4%)

prune18.0ms (0.4%)

regimes36.0ms (0.8%)

regimes88.0ms (1.8%)

bsearch47.0ms (1%)

regimes85.0ms (1.8%)

bsearch47.0ms (1%)

regimes85.0ms (1.8%)

bsearch68.0ms (1.4%)

regimes80.0ms (1.7%)

bsearch73.0ms (1.5%)

regimes73.0ms (1.5%)

bsearch85.0ms (1.8%)

regimes70.0ms (1.5%)

bsearch85.0ms (1.8%)

regimes59.0ms (1.3%)

bsearch72.0ms (1.5%)

regimes94.0ms (2%)

bsearch51.0ms (1.1%)

regimes59.0ms (1.2%)

bsearch24.0ms (0.5%)

simplify20.0ms (0.4%)

soundness230.0ms (4.9%)

end180.0ms (3.8%)

Profiling