Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.5s (22.7%)

Results

786.0ms	5695×	body	256	valid
451.0ms	2122×	body	512	valid
208.0ms	439×	body	1024	valid

Bogosity

preprocess21.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
13×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	16	16
2	21	16
3	29	16
4	39	16
5	57	16
6	94	16
7	128	16
8	174	16
9	210	16
10	236	16
11	238	16
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
13×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	16	16
2	21	16
3	29	16
4	39	16
5	57	16
6	94	16
7	128	16
8	174	16
9	210	16
10	236	16
11	238	16

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 34 to 28 computations (17.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

12.4b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.4b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x 1))
✓	0.0b	(/.f64 1 (-.f64 x 1))
✓	1.8b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

Compiler

Compiled 30 to 23 computations (23.3% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite88.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

867×	`prod-diff_binary64`
424×	`log-prod_binary64`
364×	`fma-def_binary64`
239×	`pow2_binary64`
225×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	192	30
2	2985	30

Stop Event

1×	node limit

Counts

3 → 212

Calls

Call 1

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

Outputs
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Outputs

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

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

simplify134.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

475×	`fma-neg_binary64`
377×	`div-sub_binary64`
359×	`unswap-sqr_binary64`
338×	`cancel-sign-sub-inv_binary64`
243×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	475	5859
1	1235	5179
2	3864	4470

Stop Event

1×	node limit

Counts

248 → 375

Calls

Call 1

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

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

eval199.0ms (3.1%)

Compiler: Compiled 8728 to 6957 computations (20.3% saved)

prune62.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	368	7	375
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	369	7	376

Error

0.5b

Counts

376 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	28.5b	(fma.f64 2 (*.f64 x x) 2)
▶	11.8b	(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
▶	0.5b	(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
▶	36.0b	(/.f64 -2 (*.f64 x x))
▶	28.6b	(-.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 x)))
▶	29.0b	(-.f64 1 (/.f64 1 (-.f64 x 1)))
	28.4b	2

Compiler

Compiled 126 to 96 computations (23.8% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 -1 x) (-.f64 1 x))
✓	0.5b	(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))

Compiler

Compiled 27 to 20 computations (25.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`unpow-prod-down_binary64`
405×	`log-prod_binary64`
308×	`exp-prod_binary64`
246×	`pow-prod-down_binary64`
241×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	196	23
2	2506	23

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

Outputs
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x)))) (cbrt.f64 (.f64 4 (pow.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 4 (pow.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -2))) (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))) (sqrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1 (.f64 (-.f64 1 x) (neg.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (pow.f64 (/.f64 1 (.f64 (-.f64 1 x) (neg.f64 (-.f64 -1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (-.f64 -1 x)) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (-.f64 -1 x)) (pow.f64 (/.f64 1 (-.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -1/2)) 2) -1) (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 4 (pow.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (.f64 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Outputs

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1 x)))) 1) 1))))))

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

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

800×	`fma-def_binary64`
570×	`associate-/r*_binary64`
477×	`unswap-sqr_binary64`
406×	`times-frac_binary64`
344×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	2191
1	803	2013
2	2616	1680

Stop Event

1×	node limit

Counts

136 → 201

Calls

Call 1

Inputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (.f64 2 (pow.f64 x 4))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 0 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 1)
(*.f64 -2 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)))
(.f64 1 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))
(.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))) 1)
(.f64 (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))) (cbrt.f64 (.f64 4 (pow.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -2))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -2))) (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))
(.f64 (sqrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))) (sqrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(.f64 2 (/.f64 1 (.f64 (-.f64 1 x) (neg.f64 (-.f64 -1 x)))))
(.f64 2 (pow.f64 (/.f64 1 (.f64 (-.f64 1 x) (neg.f64 (-.f64 -1 x)))) 1))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)) -2)
(*.f64 (/.f64 -2 (-.f64 -1 x)) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 -2 (-.f64 -1 x)) (pow.f64 (/.f64 1 (-.f64 1 x)) 1))
(*.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (.f64 x x))) (+.f64 x 1))
(.f64 (pow.f64 1 1/3) (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 x x x)))
(.f64 (pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (.f64 x x))) 1) (+.f64 x 1))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3)) 1/3))
(.f64 (pow.f64 (.f64 (.f64 4 (pow.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -2)) -2) 1/3) (cbrt.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))
(.f64 (pow.f64 (pow.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))) 2) 3) (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 -2) 2) (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -1/2)) 2) -1) (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))
(pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(pow.f64 (.f64 4 (pow.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) 2)
(pow.f64 (.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -1/2) -1)
(pow.f64 (/.f64 (.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -1/2) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))) (sqrt.f64 (log.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))))
(sqrt.f64 (.f64 4 (pow.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -2)))
(log.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(exp.f64 (.f64 (log.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -1/2)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) 1) 1))
(+.f64 (-.f64 -1 x) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(+.f64 (-.f64 -1 x) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(+.f64 0 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(+.f64 (.f64 -1 (-.f64 1 x)) (.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (.f64 (-.f64 1 x) -1) (.f64 (-.f64 1 x) (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 -1 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 -1 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 -1 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 -1 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) 1)
(/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2) (.f64 (+.f64 -1 x) (+.f64 x 1)))
(/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2) (.f64 (+.f64 x 1) (+.f64 -1 x)))
(/.f64 (.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3))) (.f64 (fma.f64 x (+.f64 -1 x) 1) (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 -1 x) (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 (.f64 x x))) (*.f64 (fma.f64 x (+.f64 -1 x) 1) (+.f64 x 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 -1 (pow.f64 x 3))) (.f64 (+.f64 1 (fma.f64 x x x)) (fma.f64 x (+.f64 -1 x) 1)))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 x 1) (fma.f64 x (+.f64 -1 x) 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (.f64 x x))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 -1 x)))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 x)) (fma.f64 x (+.f64 -1 x) 1))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 1 x)) (+.f64 -1 x))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 -1 x)) (+.f64 1 (fma.f64 x x x)))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 -1 x)) (+.f64 x 1))
(/.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (.f64 (-.f64 -1 x) (-.f64 1 (.f64 x x))) (+.f64 x 1))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 -1 (pow.f64 x 3))) (fma.f64 x (+.f64 -1 x) 1))
(/.f64 (.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))) (+.f64 -1 x))
(pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(pow.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (-.f64 -1 x) (-.f64 1 x))))) (sqrt.f64 (log.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 -1 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(exp.f64 (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 -1 x) (-.f64 1 x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 1) 1))
(fma.f64 -1 (-.f64 1 x) (*.f64 (neg.f64 x) (-.f64 1 x)))
(fma.f64 (-.f64 -1 x) 1 (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (-.f64 -1 x) 1 (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 1 (-.f64 -1 x) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 1 (-.f64 -1 x) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 1 x) -1 (*.f64 (-.f64 1 x) (neg.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (+.f64 -1 x)) (.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (+.f64 -1 x)) (.f64 (-.f64 -1 x) (neg.f64 x)))

Outputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 (fma.f64 x x 1) 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (.f64 x x) 2) (.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2))
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2)))
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (-.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (-.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
-1
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(+.f64 0 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 1)
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 -2 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(.f64 1 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))) 1)
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(.f64 (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))) (cbrt.f64 (.f64 4 (pow.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -2))))
(.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (cbrt.f64 (.f64 4 (pow.f64 (fma.f64 x x -1) -2))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -2))) (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))))
(.f64 (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))) (cbrt.f64 (.f64 4 (pow.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -2))))
(.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (cbrt.f64 (.f64 4 (pow.f64 (fma.f64 x x -1) -2))))
(.f64 (sqrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))) (sqrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(.f64 2 (/.f64 1 (.f64 (-.f64 1 x) (neg.f64 (-.f64 -1 x)))))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(.f64 2 (pow.f64 (/.f64 1 (.f64 (-.f64 1 x) (neg.f64 (-.f64 -1 x)))) 1))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)) -2)
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 -2 (-.f64 -1 x)) (/.f64 1 (-.f64 1 x)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 -2 (-.f64 -1 x)) (pow.f64 (/.f64 1 (-.f64 1 x)) 1))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 3))) (-.f64 -1 x)) (+.f64 1 (fma.f64 x x x)))
(/.f64 -2 (*.f64 (/.f64 (-.f64 -1 x) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3))))
(.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (.f64 x x))) (+.f64 x 1))
(.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
(.f64 (/.f64 (/.f64 -2 (-.f64 1 (.f64 x x))) (-.f64 -1 x)) (+.f64 x 1))
(.f64 (/.f64 -2 (-.f64 -1 x)) (/.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))))
(.f64 (pow.f64 1 1/3) (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 x x x)))
(.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 3))) (-.f64 -1 x)) (+.f64 1 (fma.f64 x x x)))
(/.f64 -2 (*.f64 (/.f64 (-.f64 -1 x) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3))))
(.f64 (pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (.f64 x x))) 1) (+.f64 x 1))
(.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
(.f64 (/.f64 (/.f64 -2 (-.f64 1 (.f64 x x))) (-.f64 -1 x)) (+.f64 x 1))
(.f64 (/.f64 -2 (-.f64 -1 x)) (/.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 -8 (pow.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) 3)))) (cbrt.f64 (sqrt.f64 (/.f64 -8 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) 3)))))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3/2)))
(.f64 (pow.f64 (.f64 (.f64 4 (pow.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -2)) -2) 1/3) (cbrt.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x))))
(.f64 (cbrt.f64 (.f64 4 (.f64 (pow.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -2) -2))) (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (-.f64 -1 x) (-.f64 1 x)) -2) -8)) (cbrt.f64 (/.f64 1 (.f64 (-.f64 -1 x) (-.f64 1 x)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -1) -2) -8)) (cbrt.f64 (/.f64 1 (fma.f64 x x -1))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x)))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))))
(.f64 (pow.f64 (pow.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))
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(fma.f64 x x -1)
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (fma.f64 x x x))
(+.f64 (fma.f64 x x x) (/.f64 (-.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (fma.f64 x x x))
(+.f64 (fma.f64 x x x) (/.f64 (-.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1)))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (+.f64 -1 x)) (.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (+.f64 x -1)) (.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (fma.f64 x x x))
(+.f64 (fma.f64 x x x) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (+.f64 -1 x)) (.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (+.f64 x -1)) (.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (fma.f64 x x x))
(+.f64 (fma.f64 x x x) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 -2 (*.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite44.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`pow1_binary64`
480×	`add-sqr-sqrt_binary64`
459×	`add-log-exp_binary64`
459×	`log1p-expm1-u_binary64`
459×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	108	7
2	1299	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify37.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

677×	`log-prod_binary64`
548×	`distribute-rgt-in_binary64`
530×	`distribute-lft-in_binary64`
520×	`associate-/l*_binary64`
401×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	233
1	131	233
2	425	233
3	2705	233

Stop Event

1×	node limit

Counts

33 → 24

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`pow1_binary64`
680×	`add-log-exp_binary64`
679×	`log1p-expm1-u_binary64`
679×	`expm1-log1p-u_binary64`
667×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	138	10
2	1899	10

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

900×	`fma-def_binary64`
552×	`times-frac_binary64`
415×	`distribute-rgt-in_binary64`
380×	`distribute-lft-in_binary64`
369×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	614
1	227	577
2	684	572
3	3021	572

Stop Event

1×	node limit

Counts

40 → 59

Calls

Call 1

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

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

localize20.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 44 to 24 computations (45.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`pow1_binary64`
723×	`add-log-exp_binary64`
720×	`log1p-expm1-u_binary64`
720×	`expm1-log1p-u_binary64`
708×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	162	8
2	2476	8

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(+.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 x))

Outputs

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

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-neg_binary64`
424×	`fma-def_binary64`
409×	`distribute-rgt-in_binary64`
401×	`associate-/l*_binary64`
364×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	865
1	317	681
2	1239	664
3	6493	664

Stop Event

1×	node limit

Counts

53 → 76

Calls

Call 1

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

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

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -1 (+.f64 1 x))
✓	0.0b	(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x))
✓	0.0b	(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
✓	1.2b	(+.f64 x (-.f64 -1 (+.f64 1 x)))

Compiler

Compiled 48 to 35 computations (27.1% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite90.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`log-prod_binary64`
495×	`fma-def_binary64`
291×	`log-div_binary64`
277×	`fma-neg_binary64`
223×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	242	43
2	3972	38

Stop Event

1×	node limit

Counts

4 → 244

Calls

Call 1

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

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

simplify105.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

579×	`unswap-sqr_binary64`
325×	`fma-neg_binary64`
285×	`div-sub_binary64`
200×	`associate-/l*_binary64`
191×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	580	3271
1	1529	3061
2	5252	2936

Stop Event

1×	node limit

Counts

292 → 372

Calls

Call 1

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

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

eval372.0ms (5.8%)

Compiler: Compiled 15658 to 11550 computations (26.2% saved)

prune171.0ms (2.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	860	10	870
Fresh	1	1	2
Picked	1	0	1
Done	2	2	4
Total	864	13	877

Error

Counts

877 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (/.f64 2 (-.f64 -1 x)) (+.f64 x -1))
▶	34.9b	(/.f64 (/.f64 -2 x) (+.f64 x -1))
▶	12.4b	(/.f64 (+.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1) (+.f64 x -1))
	0.6b	(/.f64 -2 (+.f64 (*.f64 x x) -1))
✓	36.0b	(/.f64 -2 (*.f64 x x))
✓	28.6b	(-.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 x)))
▶	29.2b	(+.f64 2 x)
	35.5b	(*.f64 (pow.f64 x -2) -2)
	0.1b	(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)) -2)
▶	0.6b	(.f64 (/.f64 -2 (-.f64 -1 x)) (/.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))))
	5.6b	(.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
	28.4b	2
	56.6b	1

Compiler

Compiled 213 to 165 computations (22.5% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (-.f64 -1 x))
✓	0.1b	(/.f64 (/.f64 2 (-.f64 -1 x)) (+.f64 x -1))

Compiler

Compiled 24 to 18 computations (25% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite65.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`unpow-prod-down_binary64`
447×	`log-prod_binary64`
268×	`pow-prod-down_binary64`
246×	`pow2_binary64`
198×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	190	20
2	2757	20

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs

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

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simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

685×	`associate-/r*_binary64`
337×	`sqr-pow_binary64`
316×	`associate-/r/_binary64`
230×	`associate-/l/_binary64`
228×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	392	2801
1	1029	2645
2	3945	2592

Stop Event

1×	node limit

Counts

147 → 247

Calls

Call 1

Inputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (.f64 2 (pow.f64 x 4))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-2
(-.f64 (*.f64 2 x) 2)
(-.f64 (+.f64 (.f64 2 x) (.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(/.f64 -2 x)
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -2 x)
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 0 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x))))) 1)
(*.f64 2 (/.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 -1 x)))
(.f64 2 (/.f64 1 (.f64 (-.f64 -1 x) (+.f64 -1 x))))
(*.f64 2 (pow.f64 (/.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 -1 x)) 1))
(*.f64 2 (pow.f64 (/.f64 (+.f64 -1 x) (/.f64 1 (-.f64 -1 x))) -1))
(*.f64 (/.f64 2 (-.f64 -1 x)) (/.f64 1 (+.f64 -1 x)))
(.f64 (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x))) 1)
(.f64 1 (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x))))
(.f64 (cbrt.f64 (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 -1 x)) 2))))
(.f64 (cbrt.f64 (/.f64 4 (pow.f64 (.f64 (-.f64 -1 x) (+.f64 -1 x)) 2))) (cbrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (-.f64 -1 x) -2))) (*.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x))) (/.f64 1 (+.f64 -1 x))))
(.f64 (sqrt.f64 (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x)))) (sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x))) (.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x))) (/.f64 1 (+.f64 -1 x))))
(*.f64 (/.f64 -2 (-.f64 -1 x)) (/.f64 1 (fma.f64 -1 x 1)))
(*.f64 (/.f64 -2 (-.f64 -1 x)) (pow.f64 (/.f64 1 (fma.f64 -1 x 1)) 1))
(*.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 2 (-.f64 -1 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (-.f64 -1 x) -2))) 1) (/.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x))) (+.f64 -1 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x))) 1) (/.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x))) (+.f64 -1 x)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (/.f64 (/.f64 1 (-.f64 -1 x)) (cbrt.f64 (+.f64 -1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (/.f64 (/.f64 2 (-.f64 -1 x)) (cbrt.f64 (+.f64 -1 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (-.f64 -1 x) -2))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (cbrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (/.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x))) (cbrt.f64 (+.f64 -1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (+.f64 -1 x))) (/.f64 (/.f64 1 (-.f64 -1 x)) (sqrt.f64 (+.f64 -1 x))))
(*.f64 (pow.f64 (+.f64 -1 x) -1/2) (/.f64 (/.f64 2 (-.f64 -1 x)) (sqrt.f64 (+.f64 -1 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (-.f64 -1 x) -2))) (sqrt.f64 (+.f64 -1 x))) (/.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x))) (sqrt.f64 (+.f64 -1 x))))
(*.f64 (/.f64 (/.f64 2 (-.f64 -1 x)) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 2 (-.f64 -1 x)) (fma.f64 x x -1)) (+.f64 x 1))
(.f64 (pow.f64 1 1/3) (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x))))
(.f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (-.f64 -1 x) -2))) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x))) (+.f64 -1 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x))) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x))) (+.f64 -1 x)) 1))
(*.f64 (pow.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) 1) (pow.f64 (/.f64 (/.f64 1 (-.f64 -1 x)) (cbrt.f64 (+.f64 -1 x))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) 1) (pow.f64 (/.f64 (/.f64 2 (-.f64 -1 x)) (cbrt.f64 (+.f64 -1 x))) 1))
(.f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (-.f64 -1 x) -2))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) 1) (cbrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x))) (cbrt.f64 (+.f64 -1 x))) 1))
(*.f64 (pow.f64 (/.f64 2 (sqrt.f64 (+.f64 -1 x))) 1) (pow.f64 (/.f64 (/.f64 1 (-.f64 -1 x)) (sqrt.f64 (+.f64 -1 x))) 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 -1 x) -1/2) 1) (pow.f64 (/.f64 (/.f64 2 (-.f64 -1 x)) (sqrt.f64 (+.f64 -1 x))) 1))
(.f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (-.f64 -1 x) -2))) (sqrt.f64 (+.f64 -1 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x))) (sqrt.f64 (+.f64 -1 x))) 1))
(*.f64 (pow.f64 (/.f64 (/.f64 2 (-.f64 -1 x)) (+.f64 -1 (pow.f64 x 3))) 1) (-.f64 (fma.f64 x x 1) (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (/.f64 2 (-.f64 -1 x)) (fma.f64 x x -1)) 1) (+.f64 x 1))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x))) 3)) 1/3))
(.f64 (pow.f64 (.f64 (/.f64 4 (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 -1 x)) 2)) (/.f64 2 (-.f64 -1 x))) 1/3) (cbrt.f64 (/.f64 1 (+.f64 -1 x))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x))) (cbrt.f64 (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(.f64 (pow.f64 (pow.f64 (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x))))) 2) 3) (cbrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x))))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 -1 x) (-.f64 -1/2 (/.f64 x 2)))) 2) -1) (cbrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) 2) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 -1 x)) (/.f64 1 (-.f64 -1 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) 2) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (/.f64 1 (-.f64 -1 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 -1 x)) (/.f64 2 (-.f64 -1 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (/.f64 2 (-.f64 -1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x))) -2) -1) (pow.f64 (/.f64 (+.f64 -1 x) (cbrt.f64 (/.f64 2 (-.f64 -1 x)))) -1))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (cbrt.f64 (.f64 4 (pow.f64 (-.f64 -1 x) -2)))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 -1 x)) (cbrt.f64 (/.f64 2 (-.f64 -1 x)))) -1))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (cbrt.f64 (.f64 4 (pow.f64 (-.f64 -1 x) -2)))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (cbrt.f64 (/.f64 2 (-.f64 -1 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (-.f64 -1 x)) -1/2) -1) (pow.f64 (/.f64 (+.f64 -1 x) (sqrt.f64 (/.f64 2 (-.f64 -1 x)))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (sqrt.f64 (/.f64 2 (-.f64 -1 x)))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 -1 x)) (sqrt.f64 (/.f64 2 (-.f64 -1 x)))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (/.f64 2 (-.f64 -1 x)))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (/.f64 2 (-.f64 -1 x)))) -1))
(*.f64 (pow.f64 (/.f64 (+.f64 -1 x) 2) -1) (/.f64 1 (-.f64 -1 x)))
(*.f64 (pow.f64 (/.f64 (+.f64 -1 x) -2) -1) (/.f64 1 (-.f64 1 (neg.f64 x))))
(pow.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x))) 1)
(pow.f64 (/.f64 4 (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 -1 x)) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x)))) 2)
(pow.f64 (*.f64 (+.f64 -1 x) (-.f64 -1/2 (/.f64 x 2))) -1)
(pow.f64 (/.f64 (pow.f64 (/.f64 2 (-.f64 -1 x)) 3) (pow.f64 (+.f64 -1 x) 3)) 1/3)
(pow.f64 (*.f64 (-.f64 -1/2 (/.f64 x 2)) (+.f64 -1 x)) -1)
(pow.f64 (/.f64 (*.f64 (-.f64 -1 x) (+.f64 -1 x)) 2) -1)
(pow.f64 (/.f64 (*.f64 (+.f64 -1 x) (-.f64 -1/2 (/.f64 x 2))) 1) -1)
(neg.f64 (/.f64 (/.f64 2 (-.f64 -1 x)) (fma.f64 -1 x 1)))
(sqrt.f64 (/.f64 4 (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 -1 x)) 2)))
(log.f64 (exp.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (-.f64 -1 x)) 3) (pow.f64 (+.f64 -1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(exp.f64 (.f64 (log.f64 (/.f64 2 (.f64 (-.f64 -1 x) (+.f64 -1 x)))) 1))
(+.f64 0 (/.f64 2 (-.f64 -1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 -1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 -1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 -1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 -1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 -1 x)))) 1)
(*.f64 2 (/.f64 1 (-.f64 -1 x)))
(*.f64 (/.f64 2 (-.f64 -1 x)) 1)
(*.f64 1 (/.f64 2 (-.f64 -1 x)))
(.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x))) (cbrt.f64 (.f64 4 (pow.f64 (-.f64 -1 x) -2))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (-.f64 -1 x) -2))) (cbrt.f64 (/.f64 2 (-.f64 -1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x))) (sqrt.f64 (/.f64 2 (-.f64 -1 x))))
(*.f64 -2 (/.f64 1 (-.f64 1 (neg.f64 x))))
(*.f64 -2 (pow.f64 (/.f64 1 (-.f64 1 (neg.f64 x))) 1))
(*.f64 (/.f64 1 (-.f64 -1 x)) 2)
(*.f64 (/.f64 2 (-.f64 -1 (pow.f64 x 3))) (fma.f64 x (+.f64 -1 x) 1))
(.f64 (/.f64 2 (-.f64 1 (.f64 x x))) (+.f64 -1 x))
(*.f64 (pow.f64 1 1/3) (/.f64 2 (-.f64 -1 x)))
(*.f64 (pow.f64 (/.f64 2 (-.f64 -1 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 -1 x) 1))
(.f64 (pow.f64 (/.f64 2 (-.f64 1 (.f64 x x))) 1) (+.f64 -1 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 2 (-.f64 -1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 2 (-.f64 -1 x)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (*.f64 4 (pow.f64 (-.f64 -1 x) -2)) 2) 1/3) (cbrt.f64 (/.f64 1 (-.f64 -1 x))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 2 (-.f64 -1 x)) (cbrt.f64 (/.f64 2 (-.f64 -1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (-.f64 -1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x)))))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (/.f64 1 (-.f64 -1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x)))) 2) 3) (cbrt.f64 (/.f64 2 (-.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 1 (-.f64 -1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 x 2))) 2) -1) (cbrt.f64 (/.f64 2 (-.f64 -1 x))))
(pow.f64 (/.f64 2 (-.f64 -1 x)) 1)
(pow.f64 (*.f64 4 (pow.f64 (-.f64 -1 x) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 2 (-.f64 -1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x))) 2)
(pow.f64 (-.f64 -1/2 (/.f64 x 2)) -1)
(pow.f64 (/.f64 (-.f64 -1/2 (/.f64 x 2)) 1) -1)
(sqrt.f64 (*.f64 4 (pow.f64 (-.f64 -1 x) -2)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 -1 x)))))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 -1 x))))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 -1 x))))
(exp.f64 (log.f64 (/.f64 2 (-.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 -1 x))) 1))

Outputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 (fma.f64 x x 1) 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (.f64 x x) 2) (.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2))
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2)))
(+.f64 (.f64 2 (+.f64 (+.f64 (.f64 x x) (pow.f64 x 6)) (pow.f64 x 4))) 2)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
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(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (-.f64 -1 x)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 2 (-.f64 -1 x)) 3/2)))
(.f64 (pow.f64 (.f64 (*.f64 4 (pow.f64 (-.f64 -1 x) -2)) 2) 1/3) (cbrt.f64 (/.f64 1 (-.f64 -1 x))))
(.f64 (cbrt.f64 (.f64 2 (*.f64 4 (pow.f64 (-.f64 -1 x) -2)))) (cbrt.f64 (/.f64 1 (-.f64 -1 x))))
(.f64 (cbrt.f64 (.f64 8 (pow.f64 (-.f64 -1 x) -2))) (cbrt.f64 (/.f64 1 (-.f64 -1 x))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 2 (-.f64 -1 x)) (cbrt.f64 (/.f64 2 (-.f64 -1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 2 (-.f64 -1 x)) (cbrt.f64 (/.f64 2 (-.f64 -1 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (-.f64 -1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (-.f64 -1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x)))))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (/.f64 1 (-.f64 -1 x)))
(/.f64 2 (-.f64 -1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x)))) 2) 3) (cbrt.f64 (/.f64 2 (-.f64 -1 x))))
(/.f64 2 (-.f64 -1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x)))) 3))
(/.f64 2 (-.f64 -1 x))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 1 (-.f64 -1 x)))
(/.f64 2 (-.f64 -1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 x 2))) 2) -1) (cbrt.f64 (/.f64 2 (-.f64 -1 x))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 x 2))) 2)))
(/.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x))) (pow.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 x 2))) 2))
(pow.f64 (/.f64 2 (-.f64 -1 x)) 1)
(/.f64 2 (-.f64 -1 x))
(pow.f64 (*.f64 4 (pow.f64 (-.f64 -1 x) -2)) 1/2)
(sqrt.f64 (*.f64 4 (pow.f64 (-.f64 -1 x) -2)))
(fabs.f64 (/.f64 2 (-.f64 -1 x)))
(pow.f64 (pow.f64 (/.f64 2 (-.f64 -1 x)) 3) 1/3)
(/.f64 2 (-.f64 -1 x))
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 x))) 3)
(/.f64 2 (-.f64 -1 x))
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 -1 x))) 2)
(/.f64 2 (-.f64 -1 x))
(pow.f64 (-.f64 -1/2 (/.f64 x 2)) -1)
(/.f64 1 (-.f64 -1/2 (/.f64 x 2)))
(pow.f64 (/.f64 (-.f64 -1/2 (/.f64 x 2)) 1) -1)
(/.f64 1 (-.f64 -1/2 (/.f64 x 2)))
(sqrt.f64 (*.f64 4 (pow.f64 (-.f64 -1 x) -2)))
(fabs.f64 (/.f64 2 (-.f64 -1 x)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 -1 x))))
(/.f64 2 (-.f64 -1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 -1 x)))))
(/.f64 2 (-.f64 -1 x))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 -1 x)) 3))
(/.f64 2 (-.f64 -1 x))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 -1 x))))
(/.f64 2 (-.f64 -1 x))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 -1 x))))
(/.f64 2 (-.f64 -1 x))
(exp.f64 (log.f64 (/.f64 2 (-.f64 -1 x))))
(/.f64 2 (-.f64 -1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 -1 x))) 1))
(/.f64 2 (-.f64 -1 x))

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 -2 x) (+.f64 x -1))

Compiler

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`pow1_binary64`
845×	`add-log-exp_binary64`
845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
830×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	161	10
2	2242	10

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

621×	`fma-neg_binary64`
483×	`log-div_binary64`
423×	`log-prod_binary64`
351×	`associate-/l*_binary64`
306×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	897
1	391	778
2	1281	694
3	5888	669

Stop Event

1×	node limit

Counts

50 → 83

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1) (+.f64 x -1))
✓	0.0b	(/.f64 (+.f64 x -1) (+.f64 x 1))
✓	1.8b	(+.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1)

Compiler

Compiled 39 to 29 computations (25.6% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite78.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`log-prod_binary64`
327×	`prod-diff_binary64`
310×	`pow-prod-down_binary64`
264×	`pow2_binary64`
220×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	206	42
2	3033	42

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

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

simplify120.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

521×	`associate-/r*_binary64`
301×	`fma-neg_binary64`
296×	`cancel-sign-sub-inv_binary64`
250×	`associate-/l/_binary64`
197×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	373	3366
1	921	3166
2	3267	3164

Stop Event

1×	node limit

Counts

180 → 258

Calls

Call 1

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

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

localize35.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 x x))
✓	0.0b	(/.f64 -2 (-.f64 -1 x))
✓	0.1b	(.f64 (/.f64 -2 (-.f64 -1 x)) (/.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))))
✓	14.3b	(/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))

Compiler

Compiled 48 to 30 computations (37.5% saved)

series12.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/.f64 -2 (-.f64 -1 x))
1.0ms	x	@	-inf	(.f64 (/.f64 -2 (-.f64 -1 x)) (/.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))))
1.0ms	x	@	0	(/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))
1.0ms	x	@	inf	(/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))
1.0ms	x	@	inf	(-.f64 1 (*.f64 x x))

rewrite123.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log-prod_binary64`
515×	`prod-diff_binary64`
357×	`fma-def_binary64`
288×	`log-div_binary64`
228×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	278	34
2	4123	34

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

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

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

simplify153.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

374×	`div-sub_binary64`
191×	`associate-/r*_binary64`
185×	`cancel-sign-sub-inv_binary64`
169×	`associate-r_binary64`
166×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	440	2992
1	1076	2830
2	4301	2496

Stop Event

1×	node limit

Counts

214 → 269

Calls

Call 1

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

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

eval936.0ms (14.5%)

Compiler: Compiled 15459 to 12014 computations (22.3% saved)

prune226.0ms (3.5%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	853	4	857
Fresh	1	5	6
Picked	1	0	1
Done	2	4	6
Total	857	13	870

Error

Counts

870 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (/.f64 2 (-.f64 -1 x)) (+.f64 x -1))
▶	35.6b	(/.f64 (/.f64 -2 x) x)
✓	12.4b	(/.f64 (+.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1) (+.f64 x -1))
▶	61.2b	(/.f64 2 x)
▶	0.6b	(/.f64 -2 (+.f64 (*.f64 x x) -1))
▶	28.2b	(/.f64 -2 (+.f64 x -1))
✓	36.0b	(/.f64 -2 (*.f64 x x))
✓	28.6b	(-.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 x)))
	35.5b	(*.f64 (pow.f64 x -2) -2)
▶	35.4b	(.f64 (/.f64 2 x) (/.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))))
	5.6b	(.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
	28.4b	2
	56.6b	1

Compiler

Compiled 169 to 128 computations (24.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x x) -1)
✓	0.5b	(/.f64 -2 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite73.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
709×	`add-log-exp_binary64`
709×	`log1p-expm1-u_binary64`
709×	`expm1-log1p-u_binary64`
696×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	156	13
2	1963	13

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-neg_binary64`
396×	`fma-def_binary64`
374×	`log-prod_binary64`
338×	`unswap-sqr_binary64`
332×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	986
1	371	865
2	1420	759
3	6509	759

Stop Event

1×	node limit

Counts

78 → 92

Calls

Call 1

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

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

localize9.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 -2 (+.f64 x -1))

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`pow1_binary64`
624×	`add-log-exp_binary64`
624×	`log1p-expm1-u_binary64`
624×	`expm1-log1p-u_binary64`
614×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	133	7
2	1658	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

425×	`fma-neg_binary64`
404×	`log-prod_binary64`
375×	`associate-l_binary64`
354×	`distribute-rgt-in_binary64`
337×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	477
1	224	406
2	769	341
3	3943	336

Stop Event

1×	node limit

Counts

34 → 57

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 -2 x) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`pow1_binary64`
545×	`add-log-exp_binary64`
545×	`log1p-expm1-u_binary64`
545×	`expm1-log1p-u_binary64`
535×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	112	7
2	1477	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

424×	`log-prod_binary64`
355×	`log-div_binary64`
340×	`fma-def_binary64`
289×	`distribute-rgt-in_binary64`
276×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	350
1	244	350
2	800	350
3	3570	350

Stop Event

1×	node limit

Counts

47 → 38

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (*.f64 x x))
✓	0.1b	(.f64 (/.f64 2 x) (/.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))))
	14.3b	(/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))

Compiler

Compiled 40 to 23 computations (42.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite62.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`log-prod_binary64`
413×	`prod-diff_binary64`
294×	`pow2_binary64`
281×	`fma-def_binary64`
244×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	234	10
2	3450	10

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

734×	`times-frac_binary64`
489×	`associate-*l/_binary64`
438×	`associate-/l*_binary64`
386×	`associate-*r/_binary64`
310×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	1132
1	511	1056
2	1734	1031

Stop Event

1×	node limit

Counts

77 → 99

Calls

Call 1

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

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

eval154.0ms (2.4%)

Compiler: Compiled 5552 to 4011 computations (27.8% saved)

prune85.0ms (1.3%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	408	2	410
Fresh	0	4	4
Picked	1	0	1
Done	1	7	8
Total	410	13	423

Error

Counts

423 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (/.f64 2 (-.f64 -1 x)) (+.f64 x -1))
✓	35.6b	(/.f64 (/.f64 -2 x) x)
✓	12.4b	(/.f64 (+.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1) (+.f64 x -1))
✓	61.2b	(/.f64 2 x)
✓	0.6b	(/.f64 -2 (+.f64 (*.f64 x x) -1))
✓	36.0b	(/.f64 -2 (*.f64 x x))
	61.1b	(/.f64 -2 x)
✓	28.6b	(-.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 x)))
	35.5b	(*.f64 (pow.f64 x -2) -2)
	36.1b	(.f64 (/.f64 2 x) (/.f64 (+.f64 x 1) (.f64 x (neg.f64 x))))
	5.6b	(.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
	28.4b	2
	56.6b	1

Compiler

Compiled 106 to 80 computations (24.5% saved)

regimes42.0ms (0.7%)

Counts

24 → 1

Calls

Call 1

Inputs
1
2
(+.f64 2 x)
(/.f64 -2 x)
(/.f64 2 x)
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (+.f64 x -1))
(/.f64 (/.f64 -2 x) x)
(-.f64 1 (/.f64 1 (-.f64 x 1)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(/.f64 (/.f64 -2 x) (+.f64 x -1))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 (/.f64 2 (-.f64 -1 x)) (+.f64 x -1))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)) -2)
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(.f64 (/.f64 2 x) (/.f64 (+.f64 x 1) (.f64 x (neg.f64 x))))
(.f64 (/.f64 2 x) (/.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))))
(/.f64 (+.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1) (+.f64 x -1))
(-.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 x)))
(.f64 (/.f64 -2 (.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
(.f64 (/.f64 -2 (-.f64 -1 x)) (/.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
(*.f64 (pow.f64 x -2) -2)
(fma.f64 2 (*.f64 x x) 2)

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

Calls

3 calls:

19.0ms	x
7.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

Results

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

Compiler

Compiled 222 to 160 computations (27.9% saved)

regimes17.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 59 to 42 computations (28.8% saved)

regimes16.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 50 to 35 computations (30% saved)

regimes37.0ms (0.6%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

34.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 36 to 26 computations (27.8% saved)

bsearch46.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.02794731458358816	1.2849391571392235
27.0ms	-13328611953530.852	-0.005180887554319755

Results

40.0ms

272×

body

256

valid

Compiler

Compiled 186 to 149 computations (19.9% saved)

regimes27.0ms (0.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
1.4b	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch47.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.02794731458358816	1.2849391571392235
28.0ms	-13328611953530.852	-0.005180887554319755

Results

39.0ms

272×

body

256

valid

Compiler

Compiled 186 to 149 computations (19.9% saved)

regimes11.0ms (0.2%)

Accuracy

Total -34.7b remaining (-122.3%)

Threshold costs -34.7b (-122.3%)

Counts

5 → 1

Calls

Call 1

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

Outputs
2

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
28.4b	1	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	92
1	34	92
2	38	92
3	40	92
4	41	92

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 2 (-.f64 -1 x)) (+.f64 x -1))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) 2 (/.f64 (/.f64 -2 x) x)))
(if (<=.f64 x -1) (/.f64 -2 (.f64 x x)) (if (<=.f64 x 1) 2 (/.f64 -2 (.f64 x x))))
2
1

Outputs
(/.f64 (/.f64 2 (-.f64 -1 x)) (+.f64 x -1))
(/.f64 (/.f64 2 (-.f64 -1 x)) (+.f64 -1 x))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(/.f64 -2 (+.f64 -1 (*.f64 x x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) 2 (/.f64 (/.f64 -2 x) x)))
(if (<=.f64 x -1) (/.f64 -2 (.f64 x x)) (if (<=.f64 x 1) 2 (/.f64 -2 (.f64 x x))))
2
1

Compiler

Compiled 72 to 53 computations (26.4% saved)

soundness132.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

579×	`unswap-sqr_binary64`
325×	`fma-neg_binary64`
285×	`div-sub_binary64`
200×	`associate-/l*_binary64`
191×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	580	3271
1	1529	3061
2	5252	2936

Stop Event

1×	node limit

Compiler

Compiled 159 to 128 computations (19.5% saved)

end95.0ms (1.5%)

Compiler: Compiled 66 to 46 computations (30.3% saved)

Iter	Nodes	Cost
0	8	16
1	16	16
2	21	16
3	29	16
4	39	16
5	57	16
6	94	16
7	128	16
8	174	16
9	210	16
10	236	16
11	238	16
0	1	1

Iter	Nodes	Cost
0	8	16
1	16	16
2	21	16
3	29	16
4	39	16
5	57	16
6	94	16
7	128	16
8	174	16
9	210	16
10	236	16
11	238	16

Iter	Nodes	Cost
0	8	16
1	16	16
2	21	16
3	29	16
4	39	16
5	57	16
6	94	16
7	128	16
8	174	16
9	210	16
10	236	16
11	238	16
0	1	1

Iter	Nodes	Cost
0	8	16
1	16	16
2	21	16
3	29	16
4	39	16
5	57	16
6	94	16
7	128	16
8	174	16
9	210	16
10	236	16
11	238	16

Iter	Nodes	Cost
0	8	16
1	16	16
2	21	16
3	29	16
4	39	16
5	57	16
6	94	16
7	128	16
8	174	16
9	210	16
10	236	16
11	238	16
0	1	1

Iter	Nodes	Cost
0	8	16
1	16	16
2	21	16
3	29	16
4	39	16
5	57	16
6	94	16
7	128	16
8	174	16
9	210	16
10	236	16
11	238	16