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)

sample1.1s (35%)

Results

532.0ms	5692×	body	256	valid
327.0ms	2170×	body	512	valid
231.0ms	394×	body	1024	valid

Bogosity

preprocess45.0ms (1.4%)

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)

simplify11.0ms (0.3%)

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

13.1b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.1b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize13.0ms (0.4%)

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))
✓	2.7b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

Compiler

Compiled 30 to 23 computations (23.3% saved)

series5.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite69.0ms (2.2%)

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))))))

simplify143.0ms (4.6%)

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)))

eval195.0ms (6.2%)

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

prune52.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	372	3	375
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	372	4	376

Error

0.6b

Counts

376 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
▶	33.7b	(/.f64 -2 (*.f64 x x))
✓	13.1b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
	30.1b	2

Compiler

Compiled 30 to 24 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 -2 (*.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (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))

rewrite35.0ms (1.1%)

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))))))))

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))))))))

simplify32.0ms (1%)

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))

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 -1 x) (-.f64 1 x))
✓	0.6b	(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))

Compiler

Compiled 27 to 20 computations (25.9% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 (-.f64 -1 x) (-.f64 1 x))
0.0ms	x	@	0	(*.f64 (-.f64 -1 x) (-.f64 1 x))
0.0ms	x	@	0	(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
0.0ms	x	@	inf	(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
0.0ms	x	@	-inf	(*.f64 (-.f64 -1 x) (-.f64 1 x))

rewrite54.0ms (1.7%)

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

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

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

simplify56.0ms (1.8%)

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

eval73.0ms (2.3%)

Compiler: Compiled 3472 to 2658 computations (23.4% saved)

prune29.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	221	4	225
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	222	7	229

Error

Counts

229 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(/.f64 -2 (+.f64 (*.f64 x x) -1))
✓	0.6b	(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
✓	33.7b	(/.f64 -2 (*.f64 x x))
▶	33.0b	(*.f64 (pow.f64 x -2) -2)
▶	0.1b	(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)) -2)
▶	33.2b	(*.f64 (/.f64 -2 x) (/.f64 1 x))
	30.1b	2

Compiler

Compiled 52 to 41 computations (21.2% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 -2 x) (/.f64 1 x))

Compiler

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`pow1_binary64`
603×	`add-log-exp_binary64`
601×	`log1p-expm1-u_binary64`
601×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	149	7
2	1769	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

simplify66.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

762×	`log-prod_binary64`
421×	`associate-l_binary64`
410×	`associate-r_binary64`
292×	`fma-def_binary64`
289×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	350
1	233	350
2	721	350
3	4503	350

Stop Event

1×	node limit

Counts

50 → 40

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

localize42.0ms (1.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite60.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`log-prod_binary64`
387×	`exp-prod_binary64`
281×	`pow-prod-down_binary64`
274×	`pow2_binary64`
243×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	222	33
2	2968	33

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

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

Outputs

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

simplify85.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

873×	`fma-def_binary64`
403×	`unswap-sqr_binary64`
260×	`associate-/l/_binary64`
231×	`sqr-pow_binary64`
177×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	2504
1	923	2367
2	3050	2338

Stop Event

1×	node limit

Counts

163 → 256

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite44.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

452×	`pow1_binary64`
442×	`add-sqr-sqrt_binary64`
430×	`*-un-lft-identity_binary64`
421×	`add-log-exp_binary64`
420×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	7
2	1178	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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 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) (/.f64 1 x)) 2)))) (#(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))))))))

simplify40.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

561×	`log-prod_binary64`
474×	`distribute-rgt-in_binary64`
467×	`distribute-lft-in_binary64`
360×	`associate-l_binary64`
311×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	161
1	94	161
2	330	161
3	2127	161
4	7807	161

Stop Event

1×	node limit

Counts

23 → 13

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 -2 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 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))

rewrite42.0ms (1.3%)

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	8
1	156	8
2	1963	8

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

simplify41.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

474×	`fma-neg_binary64`
434×	`log-prod_binary64`
379×	`associate-l_binary64`
352×	`distribute-rgt-in_binary64`
336×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	548
1	227	468
2	814	397
3	4149	397

Stop Event

1×	node limit

Counts

34 → 56

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)))))))
(-.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))))

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 (pow.f64 x 4) (fma.f64 x x 1)))
(+.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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(+.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 4)) (/.f64 -2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8)))
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 8)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(+.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 4)) (/.f64 -2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8)))
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 8)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(-.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 (+.f64 (pow.f64 x 4) 1) (.f64 x (*.f64 x -1)))) (+.f64 (pow.f64 x 6) -1))
(.f64 (/.f64 -2 (+.f64 (pow.f64 x 6) -1)) (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 x (neg.f64 x)))))
(*.f64 (/.f64 -2 (+.f64 (pow.f64 x 6) -1)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(*.f64 (/.f64 -2 (+.f64 (pow.f64 x 4) -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))
(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))

eval171.0ms (5.4%)

Compiler: Compiled 5146 to 4066 computations (21% saved)

prune47.0ms (1.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	364	1	365
Fresh	0	1	1
Picked	0	1	1
Done	2	3	5
Total	366	6	372

Error

Counts

372 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.1b	(/.f64 (/.f64 -2 x) x)
✓	0.6b	(/.f64 -2 (+.f64 (*.f64 x x) -1))
✓	0.6b	(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
✓	33.7b	(/.f64 -2 (*.f64 x x))
✓	33.0b	(*.f64 (pow.f64 x -2) -2)
	30.1b	2

Compiler

Compiled 38 to 29 computations (23.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.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)

rewrite67.0ms (2.1%)

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))))))))

simplify38.0ms (1.2%)

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))

eval41.0ms (1.3%)

Compiler: Compiled 380 to 254 computations (33.2% saved)

prune6.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	38	6	44

Error

Counts

44 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.1b	(/.f64 (/.f64 -2 x) x)
✓	0.6b	(/.f64 -2 (+.f64 (*.f64 x x) -1))
✓	0.6b	(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
✓	33.7b	(/.f64 -2 (*.f64 x x))
✓	33.0b	(*.f64 (pow.f64 x -2) -2)
	30.1b	2

Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes11.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
3.0ms	(-.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)))`

Compiler

Compiled 76 to 57 computations (25% saved)

regimes8.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes12.0ms (0.4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch37.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.3132053648524814e-5	451027848398788.6
18.0ms	-53753785273795.305	-0.017298305163888087

Results

33.0ms

336×

body

256

valid

Compiler

Compiled 226 to 181 computations (19.9% saved)

regimes9.0ms (0.3%)

Accuracy

Total -62.1b remaining (-7143%)

Threshold costs -62.1b (-7143%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch70.0ms (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	1.3132053648524814e-5	451027848398788.6
17.0ms	-53753785273795.305	-0.017298305163888087

Results

66.0ms

336×

body

256

valid

Compiler

Compiled 226 to 181 computations (19.9% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	81
1	31	81
2	35	81
3	37	81
4	38	81

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 62 to 45 computations (27.4% saved)

soundness151.0ms (4.8%)

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

Compiler

Compiled 1805 to 1389 computations (23% saved)

end48.0ms (1.5%)

Compiler: Compiled 58 to 40 computations (31% 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

Details

analyze3.0ms (0.1%)

sample1.1s (35%)

preprocess45.0ms (1.4%)

simplify11.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.4%)

series5.0ms (0.2%)

rewrite69.0ms (2.2%)

simplify143.0ms (4.6%)

eval195.0ms (6.2%)

prune52.0ms (1.6%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite35.0ms (1.1%)

simplify32.0ms (1%)

localize10.0ms (0.3%)

series4.0ms (0.1%)

rewrite54.0ms (1.7%)

simplify56.0ms (1.8%)

eval73.0ms (2.3%)

prune29.0ms (0.9%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite42.0ms (1.3%)

simplify66.0ms (2.1%)

localize42.0ms (1.3%)

series3.0ms (0.1%)

rewrite60.0ms (1.9%)

simplify85.0ms (2.7%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite44.0ms (1.4%)

simplify40.0ms (1.3%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite42.0ms (1.3%)

simplify41.0ms (1.3%)

eval171.0ms (5.4%)

prune47.0ms (1.5%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite67.0ms (2.1%)

simplify38.0ms (1.2%)

eval41.0ms (1.3%)

prune6.0ms (0.2%)

regimes11.0ms (0.3%)

regimes8.0ms (0.3%)

regimes12.0ms (0.4%)

bsearch37.0ms (1.2%)

regimes9.0ms (0.3%)

bsearch70.0ms (2.2%)

simplify5.0ms (0.2%)

soundness151.0ms (4.8%)

end48.0ms (1.5%)

Profiling

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