Details

analyze8.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0.1%	0.1%	14

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.5s (62.3%)

Results

480.0ms	1409×	body	1024	valid
458.0ms	4516×	body	128	valid
406.0ms	1559×	body	512	valid
137.0ms	772×	body	256	valid
0.0ms	2×	body	128	invalid

preprocess20.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

127×	`fma-neg_binary64`
82×	`fma-def_binary64`
42×	`cancel-sign-sub-inv_binary64`
41×	`sub-neg_binary64`
28×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	22	22
2	38	22
3	64	22
4	122	22
5	237	22
6	388	22
7	509	22
8	615	22
9	635	22
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify15.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

127×	`fma-neg_binary64`
82×	`fma-def_binary64`
42×	`cancel-sign-sub-inv_binary64`
41×	`sub-neg_binary64`
28×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	22	22
2	38	22
3	64	22
4	122	22
5	237	22
6	388	22
7	509	22
8	615	22
9	635	22

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

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

9.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	9.0b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

Compiler

Compiled 63 to 51 computations (19% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series5.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite66.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`
143×	`add-sqr-sqrt_binary64`
137×	`*-un-lft-identity_binary64`
137×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	272	42
2	4382	42

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

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

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

Outputs

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

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

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

simplify41.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

393×	`fma-neg_binary64`
312×	`times-frac_binary64`
289×	`fma-def_binary64`
208×	`associate-+l-_binary64`
193×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	580
1	215	559
2	587	552
3	1695	549
4	4568	549

Stop Event

1×	node limit

Counts

163 → 168

Calls

Call 1

Inputs
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1 x)) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 x) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))

Outputs
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (.f64 -1 x)) (.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 2 x)))
(+.f64 (-.f64 1 x) (/.f64 -2 x))
(-.f64 1 (-.f64 x (/.f64 -2 x)))
(+.f64 1 (-.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 x) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 2 x)))
(+.f64 1 (+.f64 (-.f64 (*.f64 x x) x) (/.f64 -2 x)))
(+.f64 (fma.f64 x (+.f64 x -1) 1) (/.f64 -2 x))
(+.f64 1 (fma.f64 x x (-.f64 (/.f64 -2 x) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 4)))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1))
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (.f64 -1 (+.f64 (.f64 x x) x))) -1)
(fma.f64 (pow.f64 x 3) -1 (fma.f64 -1 (fma.f64 x x x) -1))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(*.f64 (fma.f64 x x 1) (-.f64 -1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))

prune146.0ms (6.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	165	3	168
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	4	169

Error

0.3b

Counts

169 → 4

Alt Table

Status	Error	Program
	33.0b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
✓	9.0b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
▶	23.2b	(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 2)
	31.2b	(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))

Compiler

Compiled 4101 to 3245 computations (20.9% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.3%)

Counts

4 → 24

Calls

12 calls:

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

rewrite55.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

169×	`add-sqr-sqrt_binary64`
162×	`pow1_binary64`
161×	`*-un-lft-identity_binary64`
158×	`add-cbrt-cube_binary64`
158×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	353	81

Stop Event

1×	node limit

Counts

4 → 188

Calls

Call 1

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

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

simplify35.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

678×	`fma-neg_binary64`
599×	`fma-def_binary64`
459×	`cancel-sign-sub-inv_binary64`
229×	`unswap-sqr_binary64`
219×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	401
1	179	388
2	467	385
3	1271	384
4	3542	384

Stop Event

1×	node limit

Counts

212 → 166

Calls

Call 1

Inputs
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))

Outputs
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 9)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 9)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 (.f64 -1 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 2 x)))
(+.f64 (fma.f64 x -1 -1) (/.f64 -2 x))
(-.f64 (+.f64 -1 (/.f64 -2 x)) x)
(+.f64 (/.f64 -2 x) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 (+.f64 (.f64 x x) x)) (+.f64 1 (/.f64 2 x)))
(+.f64 (fma.f64 -1 (fma.f64 x x x) -1) (/.f64 -2 x))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (fma.f64 x x x))
(+.f64 -1 (-.f64 (/.f64 -2 x) (fma.f64 x x x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x))))

prune127.0ms (5.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	165	5	170

Error

0.3b

Counts

170 → 5

Alt Table

Status	Error	Program
	33.0b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
✓	9.0b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
	37.0b	(pow.f64 (sqrt.f64 (/.f64 2 (pow.f64 x 3))) 2)
✓	23.2b	(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 2)
▶	31.2b	(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))

Compiler

Compiled 4711 to 3815 computations (19% saved)

localize5.0ms (0.2%)

prune4.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	2	2
Total	5	5

Error

0.3b

Counts

5 → 5

Alt Table

Status	Error	Program
▶	33.0b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
✓	9.0b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
	37.0b	(pow.f64 (sqrt.f64 (/.f64 2 (pow.f64 x 3))) 2)
✓	23.2b	(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 2)
✓	31.2b	(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))

Compiler

Compiled 88 to 73 computations (17% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
✓	0.1b	(/.f64 2 (pow.f64 x 5))
✓	0.3b	(/.f64 2 (pow.f64 x 3))

series5.0ms (0.2%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 2 (pow.f64 x 3))
1.0ms	x	@	inf	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
1.0ms	x	@	0	(/.f64 2 (pow.f64 x 5))
1.0ms	x	@	0	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
0.0ms	x	@	-inf	(/.f64 2 (pow.f64 x 3))

rewrite53.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

933×	`prod-diff_binary64`
117×	`add-sqr-sqrt_binary64`
113×	`add-log-exp_binary64`
113×	`log1p-expm1-u_binary64`
113×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	241	27
2	3200	27

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 5))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -5))) (cbrt.f64 (/.f64 4 (pow.f64 x 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 10))) (cbrt.f64 (*.f64 2 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 5/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -5) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 5) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (pow.f64 x -5) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -5))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4 (pow.f64 x 10)) (*.f64 2 (-.f64 (pow.f64 x -5) (pow.f64 x -3)))) (/.f64 (/.f64 4 (pow.f64 x 6)) (*.f64 2 (-.f64 (pow.f64 x -5) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))) (cbrt.f64 (pow.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) 2)) (cbrt.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))) (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (pow.f64 x 3) (*.f64 2 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 8 (pow.f64 (pow.f64 x -5) 3)) (pow.f64 (*.f64 2 (pow.f64 x -3)) 3)) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 10)) (-.f64 (/.f64 4 (pow.f64 x 6)) (/.f64 4 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 4 (pow.f64 x 10)) (/.f64 4 (pow.f64 x 6))) (/.f64 1 (*.f64 2 (-.f64 (pow.f64 x -5) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 8) (fma.f64 2 (pow.f64 x 3) (*.f64 2 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 10)) (-.f64 (/.f64 4 (pow.f64 x 6)) (/.f64 4 (pow.f64 x 8)))) (+.f64 (*.f64 8 (pow.f64 (pow.f64 x -5) 3)) (pow.f64 (*.f64 2 (pow.f64 x -3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 2 (-.f64 (pow.f64 x -5) (pow.f64 x -3))) (-.f64 (/.f64 4 (pow.f64 x 10)) (/.f64 4 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 (pow.f64 x 3) (*.f64 2 (pow.f64 x 5))) (pow.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (pow.f64 x -5) 3)) (pow.f64 (*.f64 2 (pow.f64 x -3)) 3)) (+.f64 (/.f64 4 (pow.f64 x 10)) (-.f64 (/.f64 4 (pow.f64 x 6)) (/.f64 4 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (pow.f64 x -5) 3)) (pow.f64 (*.f64 2 (pow.f64 x -3)) 3)) (+.f64 (/.f64 4 (pow.f64 x 6)) (-.f64 (/.f64 4 (pow.f64 x 10)) (/.f64 4 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (pow.f64 x 10)) (/.f64 4 (pow.f64 x 6))) (*.f64 2 (-.f64 (pow.f64 x -5) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 2 (pow.f64 x 3) (*.f64 2 (pow.f64 x 5)))) (neg.f64 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (pow.f64 x -5) 3)) (pow.f64 (*.f64 2 (pow.f64 x -3)) 3))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 10)) (-.f64 (/.f64 4 (pow.f64 x 6)) (/.f64 4 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 4 (pow.f64 x 10)) (/.f64 4 (pow.f64 x 6)))) (neg.f64 (*.f64 2 (-.f64 (pow.f64 x -5) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 5) (*.f64 (*.f64 (pow.f64 x 3) 1/2) 2)) (*.f64 (*.f64 (pow.f64 x 3) 1/2) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 (neg.f64 (pow.f64 x 3)) 2)) (*.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 x 5) 1/2)) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/2) (*.f64 (*.f64 (pow.f64 x 3) 1/2) 1)) (*.f64 (*.f64 (pow.f64 x 3) 1/2) (*.f64 (pow.f64 x 5) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 x 5) 1/2)) (*.f64 (neg.f64 (pow.f64 x 3)) 1)) (*.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (pow.f64 x 5) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (pow.f64 x 5))) (*.f64 (pow.f64 x 3) -2)) (*.f64 (pow.f64 x 3) (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (pow.f64 x 5)) (*.f64 (*.f64 (pow.f64 x 3) 1/2) -2)) (*.f64 (*.f64 (pow.f64 x 3) 1/2) (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -2 (neg.f64 (pow.f64 x 5))) (*.f64 (neg.f64 (pow.f64 x 3)) -2)) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 (pow.f64 x 5) 1/2) 2)) (*.f64 (*.f64 (pow.f64 x 5) 1/2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 (neg.f64 (pow.f64 x 5)) 2)) (*.f64 (neg.f64 (pow.f64 x 5)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/2)) (pow.f64 x 5)) (*.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/2) (*.f64 (*.f64 (pow.f64 x 5) 1/2) 1)) (*.f64 (*.f64 (pow.f64 x 5) 1/2) (*.f64 (pow.f64 x 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 x 3) 1/2)) (*.f64 (neg.f64 (pow.f64 x 5)) 1)) (*.f64 (neg.f64 (pow.f64 x 5)) (*.f64 (pow.f64 x 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (pow.f64 x 3))) (*.f64 (pow.f64 x 5) -2)) (*.f64 (pow.f64 x 5) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (*.f64 (pow.f64 x 5) 1/2) -2)) (*.f64 (*.f64 (pow.f64 x 5) 1/2) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -2 (neg.f64 (pow.f64 x 3))) (*.f64 (neg.f64 (pow.f64 x 5)) -2)) (*.f64 (neg.f64 (pow.f64 x 5)) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (pow.f64 x 6)) (/.f64 4 (pow.f64 x 10))) (-.f64 (*.f64 2 (pow.f64 x -3)) (*.f64 2 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 2 (pow.f64 x 3) (*.f64 2 (pow.f64 x 5))) (pow.f64 x 5)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 x -5) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 x -3) (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (pow.f64 x -3)) (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (pow.f64 x -5)) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 10))) (cbrt.f64 (*.f64 2 (pow.f64 x -5))) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 6))) (/.f64 (cbrt.f64 2) x) (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 5/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 5/2)) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))))))))

simplify27.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

724×	`unswap-sqr_binary64`
503×	`associate-/l/_binary64`
502×	`associate-/r*_binary64`
356×	`times-frac_binary64`
309×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	165
1	35	165
2	68	165
3	120	165
4	268	165
5	840	165
6	3846	165

Stop Event

1×	node limit

Counts

116 → 108

Calls

Call 1

Inputs
(/.f64 2 (pow.f64 x 5))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))

Outputs
(/.f64 2 (pow.f64 x 5))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))

prune88.0ms (3.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	107	6	113

Error

Counts

113 → 6

Alt Table

Status	Error	Program
	39.0b	(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 6))) (/.f64 (cbrt.f64 2) x) (*.f64 2 (pow.f64 x -5)))
	33.0b	(+.f64 (/.f64 2 (pow.f64 x 5)) (pow.f64 (/.f64 (cbrt.f64 2) x) 3))
	32.7b	(+.f64 (/.f64 2 (pow.f64 x 5)) (*.f64 2 (pow.f64 x -3)))
✓	23.2b	(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 2)
✓	9.0b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
✓	31.2b	(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))

Compiler

Compiled 1872 to 1559 computations (16.7% saved)

regimes57.0ms (2.4%)

Accuracy

Total -63.4b remaining (-15131%)

Threshold costs -63.4b (-15131%)

Counts

21 → 3

Compiler

Compiled 277 to 224 computations (19.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Calls

2 calls:

0.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

Steps

Iters	Point		Range
2e-19	∈ [	1.9603518773016713e-19	,	1043.2250433562954	]
-50.0	∈ [	-89.74523161320282	,	0.0	]

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`*-commutative_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	103
1	42	103
2	48	103
3	50	103
4	51	103

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -50) (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 2076918743413931/10384593717069655257060992658440192) (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))))

Outputs

(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -50) (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 2076918743413931/10384593717069655257060992658440192) (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))))

(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) -50) (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) 2076918743413931/10384593717069655257060992658440192) (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))))

(if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) -50) (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) (if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) 2076918743413931/10384593717069655257060992658440192) (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))))

end107.0ms (4.5%)

Stop Event

1×

fuel

Compiler

Compiled 224 to 180 computations (19.6% saved)

Details

analyze8.0ms (0.3%)

sample1.5s (62.3%)

preprocess20.0ms (0.8%)

simplify15.0ms (0.6%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

series5.0ms (0.2%)

rewrite66.0ms (2.8%)

simplify41.0ms (1.7%)

prune146.0ms (6.1%)

localize10.0ms (0.4%)

series6.0ms (0.3%)

rewrite55.0ms (2.3%)

simplify35.0ms (1.5%)

prune127.0ms (5.3%)

localize5.0ms (0.2%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

series5.0ms (0.2%)

rewrite53.0ms (2.2%)

simplify27.0ms (1.1%)

prune88.0ms (3.7%)

regimes57.0ms (2.4%)

bsearch1.0ms (0%)

simplify4.0ms (0.2%)

end107.0ms (4.5%)

Profiling