Details

analyze0.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	0%	50%	2

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.6s (45.3%)

Results

787.0ms	2287×	body	1024	valid
457.0ms	4407×	body	128	valid
278.0ms	1032×	body	512	valid
98.0ms	530×	body	256	valid

Compiler

Compiled 26 to 22 computations (15.4% saved)

preprocess19.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

15.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 47 to 38 computations (19.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.3b	(/.f64 1 (sqrt.f64 x))
✓	0.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

series12.0ms (0.3%)

Counts

4 → 8

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 x))
2.0ms	x	@	inf	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms	x	@	0	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms	x	@	-inf	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 (+.f64 x 1)))

rewrite65.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`prod-diff_binary64`
170×	`log1p-udef_binary64`
169×	`expm1-udef_binary64`
106×	`add-sqr-sqrt_binary64`
102×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	207	30
2	2965	30

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

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

simplify25.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

914×	`fma-neg_binary64`
744×	`cancel-sign-sub-inv_binary64`
439×	`fma-def_binary64`
222×	`distribute-rgt-neg-in_binary64`
202×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	94
1	80	86
2	220	76
3	757	64
4	2431	64

Stop Event

1×	node limit

Counts

181 → 186

Calls

Call 1

Inputs
1
(-.f64 1 (*.f64 1/2 x))
(-.f64 (+.f64 1 (.f64 3/8 (pow.f64 x 2))) (.f64 1/2 x))
(-.f64 (+.f64 1 (.f64 3/8 (pow.f64 x 2))) (+.f64 (.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3))))
1
(+.f64 1 (*.f64 1/2 x))
(-.f64 (+.f64 1 (.f64 1/2 x)) (.f64 1/8 (pow.f64 x 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (.f64 1/16 (pow.f64 x 3)))) (*.f64 1/8 (pow.f64 x 2)))

Outputs
1
(-.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 x -1/2))
(fma.f64 x -1/2 1)
(-.f64 (+.f64 1 (.f64 3/8 (pow.f64 x 2))) (.f64 1/2 x))
(+.f64 1 (-.f64 (.f64 3/8 (.f64 x x)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 3/8 (.f64 x x) (.f64 x -1/2)))
(fma.f64 x -1/2 (fma.f64 x (*.f64 x 3/8) 1))
(fma.f64 x (fma.f64 x 3/8 -1/2) 1)
(-.f64 (+.f64 1 (.f64 3/8 (pow.f64 x 2))) (+.f64 (.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3))))
(+.f64 1 (-.f64 (.f64 3/8 (.f64 x x)) (fma.f64 1/2 x (*.f64 5/16 (pow.f64 x 3)))))
(-.f64 (fma.f64 3/8 (.f64 x x) 1) (fma.f64 1/2 x (.f64 5/16 (pow.f64 x 3))))
(+.f64 1 (fma.f64 x (.f64 x 3/8) (fma.f64 x -1/2 (.f64 (pow.f64 x 3) -5/16))))
(fma.f64 (pow.f64 x 3) -5/16 (fma.f64 x (fma.f64 x 3/8 -1/2) 1))
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(-.f64 (+.f64 1 (.f64 1/2 x)) (.f64 1/8 (pow.f64 x 2)))
(+.f64 (+.f64 1 (.f64 1/2 x)) (.f64 -1/8 (*.f64 x x)))
(-.f64 (fma.f64 1/2 x 1) (.f64 x (.f64 x 1/8)))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 1/2 x 1))
(fma.f64 x (-.f64 1/2 (*.f64 x 1/8)) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (.f64 1/16 (pow.f64 x 3)))) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 1 (-.f64 (fma.f64 1/2 x (.f64 (pow.f64 x 3) 1/16)) (.f64 (*.f64 x x) 1/8)))
(+.f64 (fma.f64 1/2 x (.f64 (pow.f64 x 3) 1/16)) (-.f64 1 (.f64 x (*.f64 x 1/8))))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 3) 1/16 (fma.f64 1/2 x 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)) 1))

prune234.0ms (6.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	172	14	186
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	14	187

Error

15.2b

Counts

187 → 14

Alt Table

Status	Error	Program
	26.7b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (+.f64 1 x) -1/2)))
	25.9b	(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
	20.3b	(/.f64 (-.f64 (/.f64 1 x) (*.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))) (-.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))))
	26.6b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 -1 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	25.5b	(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)) (+.f64 (/.f64 1 x) (-.f64 (.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))))))
	26.7b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	26.0b	(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
	26.3b	(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
	26.2b	(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
	26.1b	(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
	26.6b	(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
	26.6b	(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
▶	15.8b	(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
	26.0b	(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (+.f64 1 x) -1/2)))

Compiler

Compiled 4847 to 3891 computations (19.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 1 x))
✓	0.2b	(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
✓	0.3b	(/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
✓	0.9b	(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))

series11.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
2.0ms	x	@	0	(/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms	x	@	0	(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
1.0ms	x	@	-inf	(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
1.0ms	x	@	-inf	(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))

rewrite71.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

251×	`log1p-udef_binary64`
162×	`add-sqr-sqrt_binary64`
157×	`pow1_binary64`
155×	`*-un-lft-identity_binary64`
153×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	314	49
2	4709	49

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

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

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

simplify42.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

493×	`fma-def_binary64`
368×	`associate-/r*_binary64`
357×	`times-frac_binary64`
353×	`associate--l+_binary64`
204×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	1679
1	550	1563
2	1706	1428

Stop Event

1×	node limit

Counts

213 → 237

Calls

Call 1

Inputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (+.f64 1 (pow.f64 x -1/2)))
(+.f64 (.f64 1/2 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))) (.f64 3/8 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 (pow.f64 x 3) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/2 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 3/8 (/.f64 (pow.f64 x 3) (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))))
(*.f64 1/2 (sqrt.f64 x))
(+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 x))) (.f64 1/2 (sqrt.f64 x)))
(-.f64 (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 x))) (.f64 1/2 (sqrt.f64 x))) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 5/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 1/2 (sqrt.f64 x)))) (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(/.f64 1/2 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x))) (.f64 1/2 (/.f64 1 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x))) (.f64 1/2 (/.f64 1 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) (.f64 1/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 5/128 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x))) (.f64 1/2 (/.f64 1 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))) (.f64 1/16 (/.f64 1 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))))
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (/.f64 x (+.f64 1 (pow.f64 x -1/2)))))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (.f64 7/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) (.f64 19/16 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))))))))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (.f64 5/8 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 7/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x -1/2)))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(/.f64 1/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (+.f64 (.f64 35/128 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 5)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))))
1
(-.f64 1 x)
(-.f64 (+.f64 1 (pow.f64 x 2)) x)
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.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 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))

Outputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (-.f64 x 1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 x (+.f64 1 (*.f64 x x))))
(+.f64 x (-.f64 (/.f64 1 x) (fma.f64 x x 1)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 (+.f64 1 (pow.f64 x -1/2)))
(+.f64 (.f64 1/2 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(fma.f64 1/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))) (.f64 3/8 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))))
(+.f64 (fma.f64 1/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/4 (/.f64 (.f64 x x) (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))) (.f64 -3/8 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/4 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) x)) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))) (/.f64 (.f64 -3/8 (.f64 x x)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))
(+.f64 (fma.f64 1/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (.f64 (.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) x) (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x -1/2))) 3/8)))
(-.f64 (+.f64 (.f64 5/16 (/.f64 (pow.f64 x 3) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/2 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 3/8 (/.f64 (pow.f64 x 3) (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))))
(-.f64 (fma.f64 5/16 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/8 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 1/4 (/.f64 (.f64 x x) (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))))) (.f64 3/8 (+.f64 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))))
(+.f64 (fma.f64 5/16 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (fma.f64 1/4 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) x)) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))))) (*.f64 -3/8 (+.f64 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) x)) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)))))
(fma.f64 -3/8 (+.f64 (*.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) x) (pow.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) 3)) (fma.f64 5/16 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (fma.f64 1/4 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) x)) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))))))
(*.f64 1/2 (sqrt.f64 x))
(+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 x))) (.f64 1/2 (sqrt.f64 x)))
(fma.f64 1/8 (sqrt.f64 (/.f64 1 x)) (*.f64 1/2 (sqrt.f64 x)))
(fma.f64 1/2 (sqrt.f64 x) (*.f64 1/8 (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 x))) (.f64 1/2 (sqrt.f64 x))) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/8 (sqrt.f64 (/.f64 1 x)) (.f64 1/2 (sqrt.f64 x))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 1/8 (sqrt.f64 (/.f64 1 x)) (fma.f64 1/2 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/16)))
(fma.f64 1/2 (sqrt.f64 x) (fma.f64 1/8 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/16)))
(-.f64 (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 5/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 1/2 (sqrt.f64 x)))) (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/8 (sqrt.f64 (/.f64 1 x)) (fma.f64 5/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (sqrt.f64 x)))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/8 (sqrt.f64 (/.f64 1 x)) (fma.f64 5/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (sqrt.f64 x)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/16))
(fma.f64 1/8 (sqrt.f64 (/.f64 1 x)) (fma.f64 1/2 (sqrt.f64 x) (fma.f64 5/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/16))))
(/.f64 1/2 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 1/2 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x))) (.f64 1/2 (/.f64 1 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(fma.f64 1/8 (/.f64 (exp.f64 (neg.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) x) (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(fma.f64 1/2 (exp.f64 (.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 1/8 (.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(fma.f64 1/8 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) x) (*.f64 1/2 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x))) (.f64 1/2 (/.f64 1 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) (.f64 1/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))))
(+.f64 (/.f64 1/8 (.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (-.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 1/16 (.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(fma.f64 1/8 (/.f64 (exp.f64 (.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (fma.f64 1/2 (exp.f64 (.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 -1/16 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(fma.f64 1/2 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) (fma.f64 1/8 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) x) (.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) (.f64 x x)) -1/16)))
(-.f64 (+.f64 (.f64 5/128 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x))) (.f64 1/2 (/.f64 1 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))) (.f64 1/16 (/.f64 1 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))))
(+.f64 (/.f64 5/128 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (+.f64 (/.f64 1/8 (.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (-.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 1/16 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))))
(fma.f64 5/128 (/.f64 (exp.f64 (.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)) (fma.f64 1/8 (/.f64 (exp.f64 (.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (fma.f64 1/2 (exp.f64 (.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 -1/16 (.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))))
(fma.f64 5/128 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) (pow.f64 x 3)) (fma.f64 1/2 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) (fma.f64 1/8 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) x) (.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) (.f64 x x)) -1/16))))
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (-.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))
(+.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))
(+.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (/.f64 x (+.f64 1 (pow.f64 x -1/2)))))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (.f64 7/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))))))
(+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (-.f64 (fma.f64 1/4 (/.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (/.f64 x (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) 7/8))))
(+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))) (-.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) (fma.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) 7/8 (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))))
(+.f64 (+.f64 (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 x (+.f64 1 (pow.f64 x -1/2)))) (-.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (fma.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) 7/8 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) (.f64 19/16 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))))))))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (.f64 5/8 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 7/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x -1/2)))))))
(-.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/8 (/.f64 (.f64 x x) (.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 1/4 (/.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) (.f64 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) 19/16)))))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 5/8 (/.f64 (.f64 x x) (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 7/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (.f64 x x) (+.f64 1 (pow.f64 x -1/2)))))))
(+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (-.f64 (fma.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (+.f64 (fma.f64 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) x)) 19/16 (/.f64 x (+.f64 1 (pow.f64 x -1/2)))) (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) x)) 5/8 (fma.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) 7/8 (/.f64 x (/.f64 (+.f64 1 (pow.f64 x -1/2)) x)))))))
(+.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/8 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (+.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (fma.f64 (.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) x) 19/16 (/.f64 x (+.f64 1 (pow.f64 x -1/2)))))))) (-.f64 (/.f64 -1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) 7/8 (.f64 (+.f64 (/.f64 5/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) 1) (.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) x)))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8)))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) -35/128))))
(/.f64 1/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(.f64 1/2 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) (.f64 x x)))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 x x)) (.f64 (/.f64 (exp.f64 (.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)) -3/8))
(fma.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) (pow.f64 x 3)) -3/8 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) (.f64 x x))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(+.f64 (/.f64 5/16 (.f64 (pow.f64 x 4) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (-.f64 (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 3/8 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(fma.f64 5/16 (/.f64 (exp.f64 (.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (exp.f64 (.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 x x)) (.f64 (/.f64 (exp.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)) -3/8)))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) (.f64 x x)) (fma.f64 5/16 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) (pow.f64 x 4)) (.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) (pow.f64 x 3)) -3/8)))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (+.f64 (.f64 35/128 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 5)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 5/16 (.f64 (pow.f64 x 4) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (+.f64 (/.f64 3/8 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 35/128 (*.f64 (pow.f64 x 5) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(-.f64 (fma.f64 5/16 (/.f64 (exp.f64 (.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)) (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (fma.f64 3/8 (/.f64 (exp.f64 (.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)) (/.f64 35/128 (*.f64 (pow.f64 x 5) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) (.f64 x x)) (fma.f64 5/16 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) (pow.f64 x 4)) (fma.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) (pow.f64 x 3)) -3/8 (.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 0 (log.f64 x))) 1/2) (pow.f64 x 5)) -35/128))))
1
(-.f64 1 x)
(-.f64 (+.f64 1 (pow.f64 x 2)) x)
(+.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (fma.f64 x x 1) x)
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3)))
(+.f64 1 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))))
(-.f64 (fma.f64 x x 1) (+.f64 x (pow.f64 x 3)))
(+.f64 1 (*.f64 x (-.f64 x (fma.f64 x x 1))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 (/.f64 1 x) x))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 (/.f64 1 x) x))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))

prune233.0ms (6.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	233	4	237
Fresh	13	0	13
Picked	1	0	1
Done	0	0	0
Total	247	4	251

Error

4.5b

Counts

251 → 4

Alt Table

Status	Error	Program
	5.4b	(/.f64 (+.f64 1 (-.f64 x x)) (.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 x (.f64 x x))))
	46.0b	(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
	15.5b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
▶	4.9b	(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))

Compiler

Compiled 6949 to 5542 computations (20.2% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
✓	0.0b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x))
	0.3b	(/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
✓	4.8b	(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))

series7.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
1.0ms	x	@	-inf	(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
1.0ms	x	@	inf	(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
1.0ms	x	@	-inf	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
0.0ms	x	@	inf	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))

rewrite71.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`prod-diff_binary64`
156×	`add-sqr-sqrt_binary64`
152×	`pow1_binary64`
150×	`*-un-lft-identity_binary64`
148×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	355	48
2	4579	48

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify40.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

569×	`fma-def_binary64`
361×	`associate--l+_binary64`
357×	`associate-/r*_binary64`
255×	`times-frac_binary64`
209×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1554
1	520	1360
2	1685	1181

Stop Event

1×	node limit

Counts

165 → 191

Calls

Call 1

Inputs
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(-.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 1/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (.f64 1/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 3/4 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 1/4 (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 3/2 (/.f64 x (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x))))))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(/.f64 1/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (+.f64 (.f64 35/128 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 5)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (pow.f64 x -1/2) 1)
(-.f64 (+.f64 1 (pow.f64 x -1/2)) (*.f64 1/2 x))
(-.f64 (+.f64 1 (+.f64 (pow.f64 x -1/2) (.f64 3/8 (pow.f64 x 2)))) (.f64 1/2 x))
(-.f64 (+.f64 1 (+.f64 (pow.f64 x -1/2) (.f64 3/8 (pow.f64 x 2)))) (+.f64 (.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3))))
(*.f64 2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (.f64 2 (sqrt.f64 (/.f64 1 x))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 (/.f64 1 x))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 (/.f64 1 x))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(-.f64 (.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(-.f64 (+.f64 (.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 3/8 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 1/2 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(-.f64 (+.f64 (.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 3/8 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 5/16 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))

Outputs
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(-.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 1/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (fma.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x) (fma.f64 1/4 (/.f64 x (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 x 1/8) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (.f64 (+.f64 (sqrt.f64 x) 1) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)))) (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (+.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (fma.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (+.f64 (sqrt.f64 x) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)))) (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (*.f64 (/.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (.f64 1/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 3/4 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 1/4 (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 3/2 (/.f64 x (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x))))))))))))
(-.f64 (fma.f64 1/4 (/.f64 x (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x) (.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 3/4 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3))) (fma.f64 1/4 (/.f64 (.f64 1 (sqrt.f64 (pow.f64 x 3))) (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 1/8 (/.f64 (.f64 x x) (.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 1/8 (/.f64 (.f64 x x) (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 3/2 (/.f64 x (.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x) (fma.f64 1/16 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (/.f64 1 x))))))))))))
(-.f64 (+.f64 (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))) (-.f64 (+.f64 (/.f64 (.f64 x 1/8) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (.f64 (+.f64 (sqrt.f64 x) 1) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)))) (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (fma.f64 1/8 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4) x)) (fma.f64 1/8 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) x)) (+.f64 (fma.f64 1/16 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) x)) (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)))))) (*.f64 (fabs.f64 (pow.f64 x 3/2)) (+.f64 (/.f64 3/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 1/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))))))
(+.f64 (fma.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (+.f64 (sqrt.f64 x) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))) (-.f64 (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (+.f64 x (sqrt.f64 x)))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 (pow.f64 x 3/2) (+.f64 (/.f64 3/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 1/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))) (+.f64 (fma.f64 1/8 (+.f64 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4) x)) (*.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) x)) (fma.f64 3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)))) (fma.f64 1/16 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) x)) (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8)))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) -35/128))))
(/.f64 1/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x))
(/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (/.f64 (.f64 x x) 1/2))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 x x)) (/.f64 -3/8 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (.f64 x x)) (.f64 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 3)) -3/8))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(+.f64 (/.f64 5/16 (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4))) (-.f64 (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 3/8 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(+.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 x x)) (-.f64 (/.f64 5/16 (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (.f64 x x)) (fma.f64 5/16 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 4)) (.f64 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 3)) -3/8)))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (+.f64 (.f64 35/128 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 5)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))))
(+.f64 (/.f64 5/16 (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4))) (-.f64 (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (+.f64 (/.f64 3/8 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 35/128 (*.f64 (pow.f64 x 5) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))))
(+.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 x x)) (-.f64 (/.f64 5/16 (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4))) (+.f64 (/.f64 3/8 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 35/128 (.f64 (pow.f64 x 5) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (.f64 x x)) (fma.f64 5/16 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 4)) (fma.f64 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 3)) -3/8 (/.f64 -35/128 (*.f64 (pow.f64 x 5) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (-.f64 x 1))
(+.f64 (/.f64 1 x) (+.f64 x -1))
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 x (+.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 x (fma.f64 x x 1)))
(+.f64 x (-.f64 (/.f64 1 x) (fma.f64 x x 1)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (pow.f64 x -1/2) 1)
(+.f64 1 (pow.f64 x -1/2))
(-.f64 (+.f64 1 (pow.f64 x -1/2)) (*.f64 1/2 x))
(+.f64 1 (-.f64 (pow.f64 x -1/2) (*.f64 x 1/2)))
(+.f64 1 (+.f64 (pow.f64 x -1/2) (*.f64 x -1/2)))
(fma.f64 x -1/2 (+.f64 1 (pow.f64 x -1/2)))
(-.f64 (+.f64 1 (+.f64 (pow.f64 x -1/2) (.f64 3/8 (pow.f64 x 2)))) (.f64 1/2 x))
(+.f64 1 (-.f64 (+.f64 (pow.f64 x -1/2) (.f64 (.f64 x x) 3/8)) (*.f64 x 1/2)))
(+.f64 (fma.f64 (.f64 x x) 3/8 (pow.f64 x -1/2)) (-.f64 1 (.f64 x 1/2)))
(fma.f64 x -1/2 (+.f64 1 (fma.f64 x (*.f64 x 3/8) (pow.f64 x -1/2))))
(-.f64 (+.f64 1 (+.f64 (pow.f64 x -1/2) (.f64 3/8 (pow.f64 x 2)))) (+.f64 (.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3))))
(-.f64 (+.f64 1 (+.f64 (pow.f64 x -1/2) (.f64 (.f64 x x) 3/8))) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 5/16)))
(+.f64 1 (-.f64 (fma.f64 (.f64 x x) 3/8 (pow.f64 x -1/2)) (fma.f64 x 1/2 (.f64 (pow.f64 x 3) 5/16))))
(+.f64 1 (-.f64 (fma.f64 x (.f64 x 3/8) (pow.f64 x -1/2)) (fma.f64 x 1/2 (.f64 (pow.f64 x 3) 5/16))))
(*.f64 2 (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) 2)
(-.f64 (.f64 2 (sqrt.f64 (/.f64 1 x))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 2) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 (sqrt.f64 (/.f64 1 x)) 2 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 x)) 2))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 (/.f64 1 x))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (fma.f64 2 (sqrt.f64 (/.f64 1 x)) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 (sqrt.f64 (/.f64 1 x)) 2 (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 (sqrt.f64 (/.f64 1 x)) 2)))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 (/.f64 1 x))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (fma.f64 2 (sqrt.f64 (/.f64 1 x)) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 (sqrt.f64 (/.f64 1 x)) 2)) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 (sqrt.f64 (/.f64 1 x)) 2 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -5/16))))
(.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(*.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 2 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))))
(-.f64 (.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(-.f64 (.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x))
(fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) x) (*.f64 2 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))))
(-.f64 (+.f64 (.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 3/8 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 1/2 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(+.f64 (fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 x x)))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))
(fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 x x)) (.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x))))
(fma.f64 2 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) x) (-.f64 (/.f64 3/8 x) 1/2)))
(-.f64 (+.f64 (.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 3/8 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 5/16 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 x x)))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (*.f64 5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)))))
(+.f64 (fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 x x)) (.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))) (*.f64 -5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3))))
(+.f64 (fma.f64 2 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) x) (-.f64 (/.f64 3/8 x) 1/2))) (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) (pow.f64 x 3)) -5/16))

prune250.0ms (6.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	234	4	238
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	236	6	242

Error

0.0b

Counts

242 → 6

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (*.f64 (/.f64 -1 x) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (+.f64 -1 (neg.f64 x)))
	0.9b	(/.f64 1 (/.f64 (*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 x)))
	0.5b	(/.f64 (/.f64 (/.f64 1 (*.f64 x (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
	46.0b	(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
	15.5b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
	0.4b	(/.f64 (/.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))

Compiler

Compiled 7424 to 5736 computations (22.7% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
✓	0.1b	(/.f64 (*.f64 (/.f64 -1 x) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (+.f64 -1 (neg.f64 x)))
	0.3b	(/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
✓	0.3b	(*.f64 (/.f64 -1 x) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite41.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

177×	`add-sqr-sqrt_binary64`
172×	`pow1_binary64`
170×	`*-un-lft-identity_binary64`
166×	`add-log-exp_binary64`
166×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	355	44

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

Outputs

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

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

simplify40.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

593×	`fma-def_binary64`
420×	`associate-/r*_binary64`
315×	`associate--l+_binary64`
288×	`times-frac_binary64`
164×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1573
1	538	1346
2	1757	1166

Stop Event

1×	node limit

Counts

120 → 142

Calls

Call 1

Inputs
(/.f64 -1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))))
(-.f64 (.f64 3/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (.f64 3/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 5/16 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)))))))
(*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))
(neg.f64 (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 5/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -1/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x))
(neg.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))))
(-.f64 (.f64 1/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))))
(-.f64 (.f64 1/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))) (+.f64 (.f64 5/128 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x))))))
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(-.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 1/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (.f64 1/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 3/4 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 1/4 (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 3/2 (/.f64 x (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x))))))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(/.f64 1/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (+.f64 (.f64 35/128 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 5)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))))

Outputs
(/.f64 -1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(/.f64 -1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 -1 (+.f64 x (sqrt.f64 x)))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))))
(neg.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))))
(-.f64 (/.f64 -1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))
(+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 -1 (+.f64 x (sqrt.f64 x))))
(-.f64 (.f64 3/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)))))
(-.f64 (-.f64 (.f64 3/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 1/4 (/.f64 x (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))))
(-.f64 (fma.f64 3/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 -1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))))
(-.f64 (fma.f64 3/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 -1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (+.f64 x (sqrt.f64 x)))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (.f64 3/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 5/16 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)))))))
(-.f64 (.f64 3/8 (+.f64 (/.f64 (.f64 x x) (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/8 (/.f64 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 5/16 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/4 (/.f64 x (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))))))
(-.f64 (fma.f64 3/8 (+.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) x))) (/.f64 -1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 1/8 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4) x)) (fma.f64 5/16 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2))))))))
(-.f64 (fma.f64 3/8 (.f64 (+.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) 1) (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 -1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (+.f64 x (sqrt.f64 x)))) (.f64 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) 5/16))))
(*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))
(neg.f64 (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8))
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8))
(-.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8))
(fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8)))
(-.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 5/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(-.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (fma.f64 5/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(-.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))
(-.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))
(/.f64 -1/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x))
(/.f64 -1/2 (*.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(/.f64 -1/2 (*.f64 x (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))))
(neg.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))))
(neg.f64 (+.f64 (/.f64 1/8 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 1/2 (*.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(+.f64 (/.f64 -1/8 (.f64 x (.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (/.f64 -1/2 (*.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(fma.f64 -1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) x) (/.f64 (/.f64 -1/8 (.f64 x x)) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))))
(-.f64 (.f64 1/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))))
(-.f64 (/.f64 1/16 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (+.f64 (/.f64 1/8 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 1/2 (.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(+.f64 (-.f64 (/.f64 1/16 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 (/.f64 1/8 (.f64 x x)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 -1/2 (*.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(fma.f64 1/16 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) x) (/.f64 (/.f64 -1/8 (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))))))
(-.f64 (.f64 1/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))) (+.f64 (.f64 5/128 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x))))))
(-.f64 (/.f64 1/16 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (+.f64 (+.f64 (/.f64 1/8 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 1/2 (.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (/.f64 5/128 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)))))
(+.f64 (-.f64 (/.f64 1/16 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 5/128 (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)))) (+.f64 (/.f64 -1/8 (.f64 x (.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (/.f64 -1/2 (*.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(-.f64 (fma.f64 1/16 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 3)) (/.f64 -1/2 (.f64 x (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))))) (fma.f64 5/128 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 4)) (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (/.f64 (*.f64 x x) 1/8))))
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (*.f64 (/.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 1/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (fma.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 x) (fma.f64 1/4 (/.f64 x (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 (.f64 x 1/8) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (.f64 (+.f64 (sqrt.f64 x) 1) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))))) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (fma.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) 1/8 (/.f64 (+.f64 (sqrt.f64 x) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))) (-.f64 (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (+.f64 x (sqrt.f64 x)))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (.f64 1/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 3/4 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 1/4 (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 3/2 (/.f64 x (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x))))))))))))
(-.f64 (-.f64 (+.f64 (fma.f64 1/4 (/.f64 x (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 x) (.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) 1/8)))) (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 3/4 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3))) (fma.f64 1/4 (.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (pow.f64 x 3))) (fma.f64 1/8 (/.f64 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/8 (/.f64 (.f64 x x) (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 3/2 (/.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x) (fma.f64 1/16 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (/.f64 1 x)))))))))))
(-.f64 (+.f64 (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2))))) (-.f64 (+.f64 (/.f64 (.f64 x 1/8) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (.f64 (+.f64 (sqrt.f64 x) 1) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)))) (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (fma.f64 1/8 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4) x)) (fma.f64 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) x)) 1/8 (+.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) 1/16 (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)))))) (*.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (/.f64 3/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 1/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))))))
(+.f64 (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (+.f64 x (sqrt.f64 x)))) (-.f64 (fma.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) 1/8 (/.f64 (+.f64 (sqrt.f64 x) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 (pow.f64 x 3/2) (+.f64 (/.f64 3/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 1/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))) (+.f64 (fma.f64 1/8 (+.f64 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4) x)) (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) x))) (fma.f64 3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)))) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) 1/16 (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8)))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) -35/128))))
(/.f64 1/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x))
(/.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) x)
(/.f64 (/.f64 (/.f64 1/2 x) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))) x)
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 x x)) (/.f64 3/8 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (/.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) x) (/.f64 -3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(fma.f64 1/2 (/.f64 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) x) x) (/.f64 -3/8 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 x x)) (/.f64 5/16 (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (/.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) x) (-.f64 (/.f64 5/16 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4))) (/.f64 (/.f64 3/8 (pow.f64 x 3)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(fma.f64 1/2 (/.f64 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) x) x) (fma.f64 5/16 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 4)) (/.f64 -3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (+.f64 (.f64 35/128 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 5)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))))
(-.f64 (-.f64 (+.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 x x)) (/.f64 5/16 (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)))) (/.f64 35/128 (.f64 (pow.f64 x 5) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (/.f64 3/8 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (/.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) x) (-.f64 (/.f64 5/16 (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4))) (+.f64 (/.f64 (/.f64 3/8 (pow.f64 x 3)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 35/128 (.f64 (pow.f64 x 5) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))))
(fma.f64 1/2 (/.f64 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) x) x) (fma.f64 5/16 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 4)) (fma.f64 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 3)) -3/8 (/.f64 -35/128 (.f64 (pow.f64 x 5) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))))))))

prune286.0ms (7.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	251	2	253
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	254	5	259

Error

Counts

259 → 5

Alt Table

Status	Error	Program
	15.5b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
	30.0b	(/.f64 (.f64 (/.f64 -1 x) (/.f64 1 (.f64 (sqrt.f64 (/.f64 1 x)) 2))) (+.f64 -1 (neg.f64 x)))
	29.9b	(/.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 -1 (neg.f64 x)))
	0.4b	(/.f64 (/.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
✓	0.4b	(/.f64 (*.f64 (/.f64 -1 x) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (+.f64 -1 (neg.f64 x)))

Compiler

Compiled 7724 to 6090 computations (21.2% saved)

regimes358.0ms (9.9%)

Accuracy

Total 0.4b remaining (93.1%)

Threshold costs 0.4b (93.1%)

Counts

235 → 1

Compiler

Compiled 4304 to 3359 computations (22% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`unsub-neg_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	22	25
2	24	25
3	25	25

Stop Event

1×

saturated

Calls

Call 1

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

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

end99.0ms (2.7%)

Stop Event

1×

fuel

Compiler

Compiled 115 to 92 computations (20% saved)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17
0	1	1

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17
0	1	1

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17

Details

analyze0.0ms (0%)

sample1.6s (45.3%)

preprocess19.0ms (0.5%)

simplify9.0ms (0.3%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

series12.0ms (0.3%)

rewrite65.0ms (1.8%)

simplify25.0ms (0.7%)

prune234.0ms (6.5%)

localize13.0ms (0.3%)

series11.0ms (0.3%)

rewrite71.0ms (2%)

simplify42.0ms (1.2%)

prune233.0ms (6.5%)

localize15.0ms (0.4%)

series7.0ms (0.2%)

rewrite71.0ms (2%)

simplify40.0ms (1.1%)

prune250.0ms (6.9%)

localize13.0ms (0.4%)

series4.0ms (0.1%)

rewrite41.0ms (1.1%)

simplify40.0ms (1.1%)

prune286.0ms (7.9%)

regimes358.0ms (9.9%)

simplify2.0ms (0.1%)

end99.0ms (2.7%)

Profiling

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17
0	1	1

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17