Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (17.4%)

Results

1.2s	8256×	body	256	valid
1.0ms	14×	body	256	invalid

Bogosity

preprocess160.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

1222×	`+-commutative`
1114×	`distribute-lft-in`
1034×	`*-commutative`
966×	`distribute-rgt-in`
904×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	20	39
2	28	39
3	39	39
4	55	39
5	92	39
6	146	39
7	322	39
8	884	39
9	1809	39
10	3203	39
11	5287	39
12	6335	39
13	6751	39
14	7039	39
15	7175	39
16	7252	39
17	7547	39
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify156.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1222×	`+-commutative`
1114×	`distribute-lft-in`
1034×	`*-commutative`
966×	`distribute-rgt-in`
904×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	20	39
2	28	39
3	39	39
4	55	39
5	92	39
6	146	39
7	322	39
8	884	39
9	1809	39
10	3203	39
11	5287	39
12	6335	39
13	6751	39
14	7039	39
15	7175	39
16	7252	39
17	7547	39

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite113.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1700×	`associate-/r*`
970×	`associate-/l*`
728×	`distribute-rgt-in`
680×	`distribute-lft-in`
544×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	88
1	245	88
2	3503	88

Stop Event

1×	node limit

Counts

4 → 305

Calls

Call 1

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

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

simplify148.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1250×	`associate-r`
1002×	`associate-l`
764×	`associate-/r*`
674×	`*-commutative`
620×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	830	18605
1	2294	17651

Stop Event

1×	node limit

Counts

353 → 559

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
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(.f64 (cbrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 -1 x))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) (/.f64 1 x))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 x)) (pow.f64 x -1/2))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (neg.f64 x)) -1)
(.f64 (/.f64 -1 x) (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x))
(.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) x) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) 1) (/.f64 1 x))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (/.f64 x (cbrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3) 1/3)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(sqrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 1 (*.f64 x (neg.f64 x)))
(+.f64 1 (.f64 (.f64 x (neg.f64 x)) 1))
(+.f64 1 (.f64 1 (.f64 (*.f64 x (neg.f64 x)) 1)))
(+.f64 1 (.f64 (.f64 (*.f64 x (neg.f64 x)) 1) 1))
(+.f64 (*.f64 x (neg.f64 x)) 1)
(+.f64 (.f64 (.f64 x (neg.f64 x)) 1) 1)
(+.f64 (-.f64 1 (+.f64 1 (*.f64 x x))) 1)
(.f64 1 (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) 1)
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (.f64 x x))))
(.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4)))))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (+.f64 1 (.f64 x x))) (-.f64 1 (pow.f64 x 4)))
(.f64 (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 6)))
(.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) (-.f64 1 (.f64 x x)))
(.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 6))) (-.f64 (+.f64 1 (pow.f64 x 4)) (.f64 x x)))
(.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 1 (.f64 (+.f64 (.f64 x x) (pow.f64 x 4)) (+.f64 (.f64 x x) (pow.f64 x 4))))) (-.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (pow.f64 (+.f64 (.f64 x x) (pow.f64 x 4)) 3))) (+.f64 1 (-.f64 (.f64 (+.f64 (.f64 x x) (pow.f64 x 4)) (+.f64 (.f64 x x) (pow.f64 x 4))) (+.f64 (.f64 x x) (pow.f64 x 4)))))
(/.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (/.f64 (+.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (/.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (/.f64 (+.f64 1 (.f64 x x)) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (+.f64 1 (.f64 x x)))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 4) (pow.f64 x 4))) (.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (+.f64 1 (pow.f64 x 6))))
(/.f64 (+.f64 1 (pow.f64 (.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 4) 3)) (.f64 (+.f64 1 (.f64 x x)) (+.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 4) (pow.f64 x 4))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 6) 3)) (.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))) (+.f64 1 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 6) (pow.f64 x 6))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (sqrt.f64 (+.f64 1 (.f64 x x)))) (sqrt.f64 (+.f64 1 (.f64 x x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (.f64 (cbrt.f64 (+.f64 1 (.f64 x x))) (cbrt.f64 (+.f64 1 (.f64 x x))))) (cbrt.f64 (+.f64 1 (.f64 x x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) 1) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (sqrt.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4)))))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4)))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))
(expm1.f64 (log.f64 (-.f64 2 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x))))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x))) (*.f64 -1/16 (pow.f64 x 5)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (/.f64 1 x) (fma.f64 -1 (sqrt.f64 -1) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1))))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1))))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (/.f64 1 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 1 x))) (*.f64 -1/16 (pow.f64 x 5)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))
(+.f64 (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (-.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 3))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (-.f64 (/.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
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(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) 1) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (sqrt.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4)))))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1)
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2)
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3)
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/2)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2))
(log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(expm1.f64 (log.f64 (-.f64 2 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x))))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)

eval285.0ms (4.2%)

Compiler: Compiled 14604 to 9452 computations (35.3% saved)

prune102.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	556	3	559
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	556	4	560

Error

Counts

560 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(log.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x))
▶	1.1b	(log.f64 (/.f64 2 x))
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	0.7b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 46 to 33 computations (28.3% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

series3.0ms (0%)

Counts

2 → 15

Calls

6 calls:

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

rewrite104.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`*-commutative`
936×	`associate-*r/`
762×	`unswap-sqr`
610×	`swap-sqr`
570×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	249	34
2	2988	34

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs
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Outputs

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simplify108.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1728×	`unswap-sqr`
768×	`associate-/l/`
654×	`+-commutative`
510×	`associate-/r/`
448×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	6940
1	1073	6344
2	4296	6310

Stop Event

1×	node limit

Counts

138 → 248

Calls

Call 1

Inputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (/.f64 1 x)))) (-.f64 1 (.f64 -1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 x))) (-.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (/.f64 (.f64 1/4 (.f64 x x)) (fma.f64 -1/2 x (/.f64 -2 x))) (/.f64 (pow.f64 x -2) (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) 4)))
(-.f64 (+.f64 (.f64 -1/2 x) (exp.f64 (log1p.f64 (.f64 2 (/.f64 1 x))))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (exp.f64 (log1p.f64 (.f64 -1/2 x)))) 1)
(.f64 1 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))) 1)
(.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) (sqrt.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
(.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 2) (cbrt.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
(.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)) (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x))))
(.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
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(-.f64 (+.f64 0 (log.f64 (+.f64 (.f64 1/4 (.f64 x x)) (*.f64 (pow.f64 x -2) -4)))) (log.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))) 1)
(.f64 2 (log.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))
(.f64 1 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
(.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 1)
(.f64 (sqrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))
(.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 2) (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))) (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))) (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))) (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))) 2))))
(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))) (.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))))
(pow.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))
(log1p.f64 (-.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))) 1))

Outputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (.f64 x (.f64 x -1/4)) (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 x (.f64 x -1/4)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))))
(+.f64 (.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))) (log.f64 x)) (fma.f64 -1/192 (pow.f64 x 6) (log.f64 2)))
(-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))) (-.f64 (log.f64 x) (fma.f64 -1/192 (pow.f64 x 6) (log.f64 2))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (*.f64 x x))))
(+.f64 (log.f64 -1/2) (-.f64 (log.f64 x) (/.f64 4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 4 (*.f64 x x)))))
(+.f64 (log.f64 -1/2) (-.f64 (log.f64 x) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 4 (*.f64 x x)))))
(+.f64 (log.f64 -1/2) (+.f64 (-.f64 (log.f64 x) (/.f64 4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 64/3 (pow.f64 x 6)) (/.f64 4 (*.f64 x x))))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 64/3 (pow.f64 x 6)) (/.f64 4 (*.f64 x x))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 x) (-.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4))) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (*.f64 x x)))
(-.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 -4 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 4 (*.f64 x x))))
(-.f64 (+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (*.f64 x x))) (/.f64 8 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 64/3 (pow.f64 x 6)) (/.f64 4 (*.f64 x x)))))
(-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 64/3 (pow.f64 x 6)) (/.f64 4 (*.f64 x x)))))
(-.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4))) (/.f64 64/3 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (/.f64 1 x)))) (-.f64 1 (.f64 -1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 x))) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 x -1/2 (expm1.f64 (log1p.f64 (/.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 1)
(fma.f64 x -1/2 (/.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 x))) (-.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/2))) (-.f64 1 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (expm1.f64 (log1p.f64 (*.f64 x -1/2))))
(-.f64 (/.f64 (.f64 1/4 (.f64 x x)) (fma.f64 -1/2 x (/.f64 -2 x))) (/.f64 (pow.f64 x -2) (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) 4)))
(-.f64 (/.f64 1/4 (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (.f64 x x))) (.f64 (/.f64 (pow.f64 x -2) (fma.f64 -1/2 x (/.f64 -2 x))) 4))
(-.f64 (/.f64 1/4 (/.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (.f64 x x))) (.f64 4 (/.f64 (pow.f64 x -2) (fma.f64 x -1/2 (/.f64 -2 x)))))
(+.f64 (.f64 (/.f64 1/4 (/.f64 (fma.f64 x -1/2 (/.f64 -2 x)) x)) x) (.f64 -4 (/.f64 (pow.f64 x -2) (fma.f64 x -1/2 (/.f64 -2 x)))))
(-.f64 (+.f64 (.f64 -1/2 x) (exp.f64 (log1p.f64 (.f64 2 (/.f64 1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 x))) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 x -1/2 (expm1.f64 (log1p.f64 (/.f64 2 x))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (exp.f64 (log1p.f64 (.f64 -1/2 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/2))) (-.f64 1 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (expm1.f64 (log1p.f64 (*.f64 x -1/2))))
(.f64 1 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))) 1)
(fma.f64 x -1/2 (/.f64 2 x))
(.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) (sqrt.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 2))
(fma.f64 x -1/2 (/.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 2) (cbrt.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)) (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x))))
(.f64 (fma.f64 1/4 (.f64 x x) (*.f64 (pow.f64 x -2) -4)) (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/2 (/.f64 -2 x)))
(.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(/.f64 (.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) 1) (+.f64 (/.f64 4 (.f64 x x)) (.f64 (.f64 x -1/2) (fma.f64 -1/2 x (/.f64 -2 x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)) (/.f64 4 (.f64 x x))))
(.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x))) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)))
(.f64 (fma.f64 1/4 (.f64 x x) (*.f64 (pow.f64 x -2) -4)) (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/2 (/.f64 -2 x)))
(.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))
(/.f64 (.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) 1) (+.f64 (/.f64 4 (.f64 x x)) (.f64 (.f64 x -1/2) (fma.f64 -1/2 x (/.f64 -2 x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)) (/.f64 4 (.f64 x x))))
(.f64 (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4))) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(.f64 (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)) (-.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))
(/.f64 (.f64 (fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 x -2) -4)) (fma.f64 1/4 (.f64 x x) (.f64 (/.f64 2 x) (fma.f64 x -1/2 (/.f64 2 x))))) (-.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))
(/.f64 (.f64 (fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 x -2) -4)) (fma.f64 2 (/.f64 (fma.f64 x -1/2 (/.f64 2 x)) x) (.f64 x (*.f64 x 1/4)))) (fma.f64 -1/8 (pow.f64 x 3) (/.f64 -8 (pow.f64 x 3))))
(.f64 (/.f64 (fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 x -2) -4)) (fma.f64 -1/8 (pow.f64 x 3) (/.f64 -8 (pow.f64 x 3)))) (fma.f64 2 (/.f64 (fma.f64 x -1/2 (/.f64 2 x)) x) (.f64 x (*.f64 x 1/4))))
(.f64 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/16) (.f64 (/.f64 (/.f64 4 x) x) (.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2)))))) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (/.f64 -2 x) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 x 1/2)))))
(/.f64 (.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 1/4 (.f64 x x) (.f64 (/.f64 -2 x) (+.f64 (/.f64 2 x) (.f64 x 1/2))))) (-.f64 (.f64 x (.f64 (pow.f64 x 3) 1/16)) (.f64 (/.f64 4 (.f64 x x)) (.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2)) (+.f64 (/.f64 2 x) (*.f64 x 1/2))))))
(.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (pow.f64 x 4) 1/16 (.f64 (.f64 (fma.f64 x 1/2 (/.f64 2 x)) (fma.f64 x 1/2 (/.f64 2 x))) (/.f64 -4 (.f64 x x))))) (fma.f64 1/4 (.f64 x x) (.f64 (/.f64 -2 x) (fma.f64 x 1/2 (/.f64 2 x)))))
(.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (pow.f64 x 4) 1/16 (.f64 (.f64 (fma.f64 x 1/2 (/.f64 2 x)) (fma.f64 x 1/2 (/.f64 2 x))) (/.f64 -4 (.f64 x x))))) (fma.f64 (/.f64 -2 x) (fma.f64 x 1/2 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))
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(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 4 (.f64 x x)) (.f64 (*.f64 x -1/2) (fma.f64 -1/2 x (/.f64 -2 x))))))
(.f64 1 (/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)) (/.f64 4 (*.f64 x x)))))
(sqrt.f64 (pow.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2))
(fabs.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(log.f64 (exp.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))
(fma.f64 x -1/2 (/.f64 2 x))
(cbrt.f64 (pow.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))) 3))
(fma.f64 x -1/2 (/.f64 2 x))
(expm1.f64 (log1p.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(log1p.f64 (expm1.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 -1/2 x (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 x -1/2 (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 1 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 1 (.f64 2 (/.f64 1 x)) (.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (sqrt.f64 (.f64 -1/2 x)) (sqrt.f64 (.f64 -1/2 x)) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (sqrt.f64 (.f64 2 (/.f64 1 x))) (sqrt.f64 (.f64 2 (/.f64 1 x))) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 x)) 2) (cbrt.f64 (.f64 -1/2 x)) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 1 x))) 2) (cbrt.f64 (.f64 2 (/.f64 1 x))) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 0)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 0 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 2)))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 2))) (log.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))) (log.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 1))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 1))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(-.f64 (log.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (log.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(-.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (+.f64 (/.f64 4 (.f64 x x)) (.f64 (*.f64 x -1/2) (fma.f64 -1/2 x (/.f64 -2 x))))))
(-.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)) (/.f64 4 (.f64 x x)))))
(-.f64 (log.f64 (+.f64 (.f64 1/4 (.f64 x x)) (*.f64 (pow.f64 x -2) -4))) (log.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(-.f64 (log.f64 (fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 x -2) -4))) (log.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(-.f64 (log.f64 (fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 x -2) -4))) (log.f64 (fma.f64 x -1/2 (/.f64 -2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))) 1)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(-.f64 (+.f64 0 (log.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))) (log.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(-.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (+.f64 (/.f64 4 (.f64 x x)) (.f64 (*.f64 x -1/2) (fma.f64 -1/2 x (/.f64 -2 x))))))
(-.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)) (/.f64 4 (.f64 x x)))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (.f64 1/4 (.f64 x x)) (*.f64 (pow.f64 x -2) -4)))) (log.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(-.f64 (log.f64 (fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 x -2) -4))) (log.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(-.f64 (log.f64 (fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 x -2) -4))) (log.f64 (fma.f64 x -1/2 (/.f64 -2 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))) 1)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 2 (log.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 1 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 1)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (sqrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))) 2))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 2) (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))) (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))) (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))) (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))))
(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))) (.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))))
(pow.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 1)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 2)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))) 3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 3) 1/3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 2))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(fabs.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(log1p.f64 (-.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))) 1))
(log1p.f64 (+.f64 (fma.f64 x -1/2 (/.f64 2 x)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 x -1/2 (/.f64 2 x))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 2 x))

Compiler

Compiled 10 to 7 computations (30% saved)

series39.0ms (0.6%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(log.f64 (/.f64 2 x))
13.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
5.0ms	x	@	inf	(log.f64 (/.f64 2 x))

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`add-sqr-sqrt`
1300×	`*-un-lft-identity`
1212×	`add-cube-cbrt`
1200×	`add-cbrt-cube`
1186×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1642	11

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1046×	`associate-+l-`
940×	`*-commutative`
920×	`associate-r`
900×	`associate-+r-`
728×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	571
1	172	571
2	641	571
3	3640	571
4	6375	571

Stop Event

1×	node limit

Counts

37 → 33

Calls

Call 1

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

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

localize41.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 76 to 38 computations (50% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite134.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`distribute-rgt-in`
834×	`associate-/l/`
834×	`associate-/r/`
808×	`distribute-lft-in`
272×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	105
1	263	93
2	3835	93

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) x) (*.f64 (/.f64 1 x) (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 x)) (*.f64 (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x)) (*.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)) (sqrt.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x) (sqrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 (sqrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) (*.f64 (cbrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1) (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) x) (cbrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (sqrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))) (cbrt.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 1 (-.f64 1 (*.f64 x x)))) (/.f64 1 x)) (*.f64 (*.f64 x x) (-.f64 1 (-.f64 1 (*.f64 x x))))) (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 1 (-.f64 1 (*.f64 x x)))) (/.f64 1 x)) (*.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (/.f64 1 x)) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 (*.f64 x x) (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (*.f64 x x) (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (/.f64 1 x)) (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 (*.f64 x x) (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (*.f64 x x) (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 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simplify88.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1082×	`associate-r`
996×	`associate-l`
698×	`associate-/l*`
578×	`*-commutative`
538×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	486	9489
1	1459	8215

Stop Event

1×	node limit

Counts

205 → 327

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 -1/2 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 -1) (pow.f64 x 2))
(+.f64 x (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(-.f64 (+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))
(.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (.f64 (/.f64 1 x) x) (.f64 (/.f64 1 x) (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(+.f64 (.f64 (/.f64 1 x) (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (/.f64 1 x) x))
(+.f64 (.f64 x (/.f64 1 x)) (.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 x)))
(+.f64 (.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 x)) (.f64 x (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x))) 1)
(.f64 1 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 x))
(.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) 1)
(.f64 (sqrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) (sqrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))
(.f64 (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) x) (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (/.f64 1 x)))
(.f64 (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (/.f64 1 x)))
(.f64 (/.f64 1 x) (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (neg.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (/.f64 1 (neg.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 x)))
(.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 1) (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x))
(.f64 (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) x) (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2))) (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) (-.f64 1 (-.f64 1 (.f64 x x)))) (/.f64 1 x)) (.f64 (.f64 x x) (-.f64 1 (-.f64 1 (.f64 x x))))) (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) (-.f64 1 (-.f64 1 (.f64 x x)))) (/.f64 1 x)) (.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (+.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (/.f64 1 x)) (-.f64 (pow.f64 x 4) (.f64 (.f64 (.f64 x x) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (.f64 x x) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (-.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (/.f64 1 x)) (+.f64 (pow.f64 x 6) (pow.f64 (.f64 (.f64 x x) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) 3))) (+.f64 (pow.f64 x 4) (.f64 (.f64 (.f64 x x) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (-.f64 (.f64 (.f64 x x) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 x x)))))
(pow.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) 3)
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(pow.f64 (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x) 3) 1/3)
(pow.f64 (.f64 x (/.f64 x (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))) -1)
(neg.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (*.f64 x x))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) 3) (pow.f64 x 6)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x)))

Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 2) (.f64 -1/8 (pow.f64 x 4)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 2) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 x (sqrt.f64 -1)) 1)
(fma.f64 x (sqrt.f64 -1) 1)
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(+.f64 1 (+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) 1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 1 (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 (sqrt.f64 -1) (neg.f64 x))
(+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x)))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 -1)) x))
(-.f64 1 (*.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(+.f64 1 (-.f64 (.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))))
(+.f64 (-.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(+.f64 1 (+.f64 (/.f64 1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (.f64 x (sqrt.f64 -1))))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 -1/2 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 2 x))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 -1/2 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 7) (*.f64 -1/8 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/8 (pow.f64 x 5) (*.f64 -1/16 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 -1) (pow.f64 x 2))
(.f64 (sqrt.f64 -1) (.f64 x x))
(+.f64 x (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 x (.f64 (sqrt.f64 -1) (.f64 x x)))
(fma.f64 (sqrt.f64 -1) (*.f64 x x) x)
(+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 (sqrt.f64 -1) (.f64 x x)) (/.f64 1/2 (sqrt.f64 -1))))
(+.f64 x (fma.f64 (sqrt.f64 -1) (*.f64 x x) (/.f64 1/2 (sqrt.f64 -1))))
(-.f64 (+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))
(+.f64 x (-.f64 (+.f64 (.f64 (sqrt.f64 -1) (.f64 x x)) (/.f64 1/2 (sqrt.f64 -1))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x)))))
(+.f64 (fma.f64 (sqrt.f64 -1) (.f64 x x) (/.f64 1/2 (sqrt.f64 -1))) (+.f64 x (/.f64 -1/8 (.f64 x (*.f64 (sqrt.f64 -1) (neg.f64 x))))))
(.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(.f64 (neg.f64 (sqrt.f64 -1)) (.f64 x x))
(.f64 x (.f64 (sqrt.f64 -1) (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 (sqrt.f64 -1) (.f64 x x)) x)
(-.f64 x (.f64 (sqrt.f64 -1) (.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(-.f64 (fma.f64 -1 (.f64 (sqrt.f64 -1) (.f64 x x)) x) (/.f64 1/2 (sqrt.f64 -1)))
(+.f64 (-.f64 x (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 -1/2 (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x))) (-.f64 (fma.f64 -1 (.f64 (sqrt.f64 -1) (.f64 x x)) x) (/.f64 1/2 (sqrt.f64 -1))))
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (.f64 x x)) (+.f64 (-.f64 x (.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 -1/2 (sqrt.f64 -1))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (sqrt.f64 -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 -1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1)))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (/.f64 1/8 (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 4))) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (.f64 (/.f64 1 x) x) (.f64 (/.f64 1 x) (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (.f64 (/.f64 1 x) (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (/.f64 1 x) x))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (.f64 x (/.f64 1 x)) (.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 x)))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 x)) (.f64 x (/.f64 1 x)))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x))) 1)
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 1 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 x))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) 1)
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) (sqrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) x) (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (/.f64 1 x)))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)) 2))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (/.f64 1 x)))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 1 x) (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (neg.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (/.f64 1 (neg.f64 x)))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (cbrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 1) (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (cbrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x))
(+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (sqrt.f64 x)))
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(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (neg.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x) (/.f64 1 (neg.f64 x)))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 x)) (/.f64 1 (.f64 (sqrt.f64 x) x)))
(/.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (.f64 x x))) (/.f64 1 (*.f64 (cbrt.f64 x) x)))
(/.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (/.f64 1 (cbrt.f64 x)) x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (sqrt.f64 x) x)))
(/.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 (cbrt.f64 x) x)))
(/.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (/.f64 1 (cbrt.f64 x)) x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(.f64 (/.f64 1 (neg.f64 x)) (/.f64 (neg.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 1) (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (.f64 x x)))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (.f64 x x)))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (.f64 x x)) (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 x x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) x) (/.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) x)))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 2) (cbrt.f64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2) (cbrt.f64 (pow.f64 x 4))))
(.f64 (/.f64 1 (.f64 x x)) (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 1 (.f64 (sqrt.f64 x) x)) (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 x)))
(/.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) x) (sqrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) (cbrt.f64 x)))
(/.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (/.f64 1 (cbrt.f64 x)) x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)) x))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)) (sqrt.f64 x)))
(/.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) 2) (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x)))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (cbrt.f64 (.f64 x x))))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)))) (sqrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) 2))) (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) 2) x) (cbrt.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (.f64 x x)) (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (.f64 x x))) (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 x)))
(/.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 (/.f64 1 (cbrt.f64 x)) x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (neg.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2))) (cbrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x) 1)
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) x) 2)
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x)) 3)
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x) 3) 1/3)
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (.f64 x (/.f64 x (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))) -1)
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(neg.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (*.f64 x x))))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x) 2))
(fabs.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x)))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x))))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x) 3))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) 3) (pow.f64 x 6)))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) 3) (pow.f64 x 3)))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x)))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x)))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) x)) 1))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x)))
(/.f64 (+.f64 1 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)

eval805.0ms (11.9%)

Compiler: Compiled 16581 to 11217 computations (32.4% saved)

prune197.0ms (2.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	668	4	672
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	669	7	676

Error

Counts

676 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.1b	(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
▶	32.2b	(log.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))
▶	0.7b	(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
▶	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	1.1b	(log.f64 (/.f64 2 x))
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	0.7b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 83 to 62 computations (25.3% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 26 computations (43.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite119.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`associate-*r/`
1066×	`associate-*l/`
948×	`*-commutative`
924×	`associate-/r*`
714×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	216	52
2	2974	52

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs

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

simplify102.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1416×	`unswap-sqr`
720×	`associate-+l+`
666×	`+-commutative`
422×	`associate-+r+`
368×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	7051
1	997	6817
2	4128	6733

Stop Event

1×	node limit

Counts

147 → 250

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 x))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 1)
(.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 -1 x))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) x) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) x) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 1))
(.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (*.f64 x x))))
(.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (cbrt.f64 (.f64 x x))) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (cbrt.f64 x)))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (cbrt.f64 x)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) x) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 (.f64 x x) x) (.f64 x x)) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (/.f64 (.f64 x x) x) (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (+.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) x) (-.f64 1 (.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) x) (+.f64 1 (pow.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) 3))) (+.f64 1 (-.f64 (.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (+.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (.f64 x x) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1)
(.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (/.f64 1 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x))
(.f64 (/.f64 1 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x)))))) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))
(.f64 (/.f64 (.f64 x x) (.f64 x x)) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (.f64 x x) (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (+.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 1 (.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (+.f64 1 (pow.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) 3))) (+.f64 1 (-.f64 (.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (.f64 x x) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (/.f64 1 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))))
(/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (.f64 x x))))
(/.f64 (.f64 x (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 1 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (/.f64 1 (/.f64 1 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (/.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (/.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (neg.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (.f64 1 (neg.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(/.f64 (+.f64 (.f64 x (neg.f64 x)) 0) (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1))
(/.f64 (+.f64 (.f64 x (neg.f64 x)) 0) (.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 2)) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (-.f64 2 (.f64 x x))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) 3)) (.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))) (+.f64 1 (-.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3) (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))) (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 1 (+.f64 (-.f64 1 (.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) 2)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (neg.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (.f64 1 (+.f64 (.f64 x (neg.f64 x)) 0)) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(/.f64 (.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) x) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (sqrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (sqrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (.f64 x x))) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (cbrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) 1) (neg.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (.f64 (+.f64 (.f64 x (neg.f64 x)) 0) 1) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(/.f64 (.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (sqrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (cbrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 2)) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (-.f64 2 (.f64 x x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (+.f64 1 (+.f64 (-.f64 1 (.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) 2))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) 3)) (/.f64 1 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (+.f64 1 (-.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3) (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (/.f64 1 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))
(/.f64 (/.f64 (.f64 x x) 1) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (.f64 x x) (.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) 1) (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (sqrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (sqrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (.f64 (cbrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (cbrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (-.f64 1 (.f64 x x)) 1/4) 1)
(fma.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1)

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))
(+.f64 (sqrt.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1))))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1)))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (/.f64 1/8 (.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (-.f64 (/.f64 1/8 (.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (sqrt.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 x (*.f64 x (sqrt.f64 -1))))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 2) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (*.f64 x (sqrt.f64 -1)))
(fma.f64 x (sqrt.f64 -1) 1)
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(+.f64 (+.f64 1 (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1)))
(+.f64 1 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(+.f64 (fma.f64 x (sqrt.f64 -1) 1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 1 (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1)))))
(+.f64 1 (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(*.f64 (sqrt.f64 -1) (neg.f64 x))
(+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x)))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 -1)) x))
(fma.f64 (neg.f64 (sqrt.f64 -1)) x 1)
(-.f64 1 (*.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(+.f64 1 (-.f64 (.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))))
(-.f64 (fma.f64 (neg.f64 (sqrt.f64 -1)) x 1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))
(-.f64 1 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1/8 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(+.f64 1 (-.f64 (-.f64 (/.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1))) (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(-.f64 (+.f64 1 (/.f64 1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))
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(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 1 (.f64 (-.f64 1 (.f64 x x)) (-.f64 2 (.f64 x x))))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) 3)) (/.f64 1 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (+.f64 1 (-.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3) (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) 3)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (+.f64 1 (-.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3) (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) 3)) (.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x))))) (+.f64 1 (-.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) 3)) (+.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (pow.f64 (-.f64 1 (.f64 x x)) 3))) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (/.f64 1 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (/.f64 (.f64 x x) 1) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (/.f64 (.f64 x x) (.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) 1) (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (sqrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (sqrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (.f64 (cbrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (cbrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) 1/3)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2))
(fabs.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (-.f64 1 (.f64 x x)) 1/4) 1)
(+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/2))
(fma.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 21 computations (44.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite82.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`*-commutative`
1016×	`associate-*r/`
790×	`associate-/r*`
762×	`associate-*l/`
630×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	234	46
2	2996	46

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

simplify279.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1134×	`associate-*r/`
854×	`*-commutative`
812×	`associate-*l/`
764×	`associate-/l*`
646×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	328	5776
1	853	4820
2	3091	4776

Stop Event

1×	node limit

Counts

140 → 217

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) 0)
(+.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (*.f64 1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (*.f64 1 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (*.f64 (log.f64 (/.f64 1 x)) 1))
(+.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (+.f64 (log.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (+.f64 (log.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (-.f64 (log.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (neg.f64 (log.f64 x))))
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(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))))
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(+.f64 (.f64 1 (log.f64 (sqrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))) (.f64 1 (log.f64 (sqrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) 2))) (.f64 1 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) 1) (.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) 1))
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(-.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 (neg.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3)))) (-.f64 (log.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (.f64 (*.f64 x x) -1))) (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3)))) (-.f64 (log.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (.f64 (*.f64 x x) -1))) (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3)))) (+.f64 (log.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (.f64 (*.f64 x x) -1))) (log.f64 x)))
(-.f64 (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (-.f64 (log.f64 (+.f64 2 (.f64 (*.f64 x x) 1/2))) (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (-.f64 (log.f64 (+.f64 2 (.f64 (*.f64 x x) 1/2))) (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (+.f64 (log.f64 (+.f64 2 (.f64 (*.f64 x x) 1/2))) (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))) 1)
(-.f64 (+.f64 0 (log.f64 (neg.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))))) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))) 1)
(-.f64 (-.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (-.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (-.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 0) (log.f64 x))
(.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x))))
(.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x)) 1)
(.f64 1 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x)))
(.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) (sqrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x))))
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(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) 2) (cbrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (+.f64 (.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (.f64 (log.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (log.f64 x))))
(/.f64 (.f64 1 (-.f64 (.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (log.f64 x)))
(/.f64 (.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (+.f64 (.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 x))))
(/.f64 (.f64 (-.f64 (.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) 1) (+.f64 (log.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (log.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (+.f64 (.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 x))))
(pow.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(log1p.f64 (-.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x) 1))
(+.f64 (.f64 (/.f64 1 x) 2) (.f64 (/.f64 1 x) (.f64 -1/2 (.f64 x x))))
(+.f64 (.f64 (/.f64 1 x) (.f64 -1/2 (.f64 x x))) (.f64 (/.f64 1 x) 2))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 (.f64 -1/2 (.f64 x x)) (/.f64 1 x)))
(+.f64 (.f64 (.f64 -1/2 (.f64 x x)) (/.f64 1 x)) (.f64 2 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) 1)
(.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) (/.f64 1 x))
(.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x) 1)
(.f64 1 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) x))
(.f64 (sqrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) (sqrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2) (/.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) x))
(.f64 (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x)) 2))
(.f64 (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) 2) (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x)))
(.f64 (/.f64 1 x) (+.f64 2 (.f64 -1/2 (*.f64 x x))))
(.f64 (neg.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (/.f64 -1 x))
(.f64 (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) x) (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) x) (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) 1))
(.f64 (/.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) x) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) 2))
(.f64 (/.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) 2) 1))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) (sqrt.f64 x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) (cbrt.f64 x)))
(.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 -1 x) (neg.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 1) (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) x))
(.f64 (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (cbrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (sqrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) 2) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2) x) (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2))) (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(.f64 (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (+.f64 2 (.f64 -1/2 (*.f64 x x))))
(.f64 (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (-.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3)))) (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (.f64 (*.f64 x x) -1)))
(.f64 (/.f64 (/.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))) x) (-.f64 16 (.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (.f64 x x) -1)) (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (.f64 x x) -1))))) (+.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) (.f64 (*.f64 x x) -1)))
(.f64 (/.f64 (/.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))) x) (+.f64 64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (.f64 x x) -1)) 3))) (-.f64 (+.f64 16 (.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (.f64 x x) -1)) (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (.f64 x x) -1)))) (.f64 4 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (*.f64 x x) -1)))))
(pow.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))) (sqrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(neg.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))

Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (.f64 x (.f64 x -1/4)) (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 x (.f64 x -1/4)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))))
(+.f64 (.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))) (log.f64 x)) (fma.f64 -1/192 (pow.f64 x 6) (log.f64 2)))
(-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))) (-.f64 (log.f64 x) (fma.f64 -1/192 (pow.f64 x 6) (log.f64 2))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 8 (pow.f64 x 4)))))
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(/.f64 (fma.f64 -1/2 (.f64 x x) 2) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (fma.f64 -1/2 (.f64 x x) 2) (.f64 (sqrt.f64 x) (sqrt.f64 x)))
(.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) (cbrt.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (fma.f64 -1/2 (.f64 x x) 2) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(.f64 (/.f64 -1 x) (neg.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(.f64 (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 1) (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) x))
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(.f64 (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (cbrt.f64 x)))
(/.f64 (.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) (cbrt.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (fma.f64 -1/2 (.f64 x x) 2) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) (cbrt.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (fma.f64 -1/2 (.f64 x x) 2) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) x))
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (sqrt.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (fma.f64 -1/2 (.f64 x x) 2) (.f64 (sqrt.f64 x) (sqrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) 2) (sqrt.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (fma.f64 -1/2 (.f64 x x) 2) (.f64 (sqrt.f64 x) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x)))
(.f64 (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 x x) 2) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 x x) 2) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2) x) (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2))) (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(.f64 (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (+.f64 2 (.f64 -1/2 (*.f64 x x))))
(.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) (/.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))) (.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))) x)))
(.f64 (fma.f64 -1/2 (.f64 x x) 2) (/.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))) (.f64 x (+.f64 4 (*.f64 -1/4 (pow.f64 x 4))))))
(/.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/4)) (/.f64 (.f64 x (-.f64 4 (.f64 (pow.f64 x 4) 1/4))) (fma.f64 -1/2 (.f64 x x) 2)))
(.f64 (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (-.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3)))) (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (.f64 (*.f64 x x) -1)))
(.f64 (/.f64 (/.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))) x) (+.f64 8 (.f64 1/8 (pow.f64 x 6)))) (+.f64 (fma.f64 1/4 (pow.f64 x 4) 4) (.f64 -1 (*.f64 x x))))
(/.f64 (.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))) (fma.f64 x (neg.f64 x) (fma.f64 (pow.f64 x 4) 1/4 4))) (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/8))))
(.f64 (/.f64 (/.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/4)) x) (+.f64 8 (*.f64 (pow.f64 x 6) 1/8))) (fma.f64 x (neg.f64 x) (fma.f64 (pow.f64 x 4) 1/4 4)))
(.f64 (/.f64 (/.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))) x) (-.f64 16 (.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (.f64 x x) -1)) (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (.f64 x x) -1))))) (+.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) (.f64 (*.f64 x x) -1)))
(.f64 (/.f64 (+.f64 8 (.f64 (pow.f64 x 6) -1/8)) (.f64 (-.f64 16 (.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 -1 (.f64 x x))) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 -1 (.f64 x x))))) x)) (+.f64 (.f64 -1 (.f64 x x)) (+.f64 4 (*.f64 -1/4 (pow.f64 x 4)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 6) -1/8 8) (.f64 x (-.f64 16 (.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1 (.f64 x x))) (fma.f64 (pow.f64 x 4) 1/4 (.f64 1 (.f64 x x))))))) (fma.f64 x (neg.f64 x) (+.f64 4 (.f64 -1/4 (pow.f64 x 4)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 6) -1/8 8) (.f64 x (-.f64 16 (.f64 (fma.f64 (pow.f64 x 4) 1/4 (+.f64 0 (.f64 x x))) (fma.f64 (pow.f64 x 4) 1/4 (+.f64 0 (.f64 x x))))))) (-.f64 (-.f64 4 (.f64 x x)) (*.f64 (pow.f64 x 4) 1/4)))
(.f64 (/.f64 (/.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))) x) (+.f64 64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (.f64 x x) -1)) 3))) (-.f64 (+.f64 16 (.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (.f64 x x) -1)) (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (.f64 x x) -1)))) (.f64 4 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (*.f64 x x) -1)))))
(.f64 (/.f64 (/.f64 (+.f64 8 (.f64 (pow.f64 x 6) -1/8)) x) (+.f64 64 (pow.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 -1 (.f64 x x))) 3))) (+.f64 16 (-.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 -1 (.f64 x x))) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 -1 (.f64 x x)))) (.f64 4 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 -1 (.f64 x x)))))))
(.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 x 6) -1/8 8) x) (+.f64 64 (pow.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1 (.f64 x x))) 3))) (+.f64 16 (.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1 (.f64 x x))) (-.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1 (.f64 x x))) 4))))
(/.f64 (+.f64 16 (.f64 (fma.f64 (pow.f64 x 4) 1/4 (+.f64 0 (.f64 x x))) (-.f64 (.f64 (pow.f64 x 4) 1/4) (-.f64 4 (.f64 x x))))) (/.f64 (+.f64 64 (pow.f64 (fma.f64 (pow.f64 x 4) 1/4 (+.f64 0 (*.f64 x x))) 3)) (/.f64 (fma.f64 (pow.f64 x 6) -1/8 8) x)))
(pow.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x) 1)
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) 2)
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) 3)
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x) 3) 1/3)
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(pow.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))) -1)
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))) (sqrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(neg.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) (neg.f64 x)))
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x) 2))
(fabs.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x) 3))
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(exp.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
(/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)

localize248.0ms (3.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (*.f64 x x)))
✓	0.0b	(+.f64 (/.f64 2 x) (*.f64 x 1/2))
✓	0.1b	(/.f64 4 (*.f64 x x))
✓	29.6b	(/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2)))

Compiler

Compiled 82 to 47 computations (42.7% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2)))
0.0ms	x	@	inf	(/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2)))
0.0ms	x	@	0	(/.f64 4 (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2)))
0.0ms	x	@	inf	(/.f64 4 (*.f64 x x))

rewrite116.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1314×	`associate-/l*`
720×	`associate-/r/`
696×	`associate-/l/`
350×	`add-sqr-sqrt`
332×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	110
1	347	102
2	4828	102

Stop Event

1×	node limit

Counts

4 → 223

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2)))
(/.f64 4 (*.f64 x x))
(+.f64 (/.f64 2 x) (*.f64 x 1/2))
(+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (*.f64 x x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (/.f64 1 (+.f64 (/.f64 2 x) (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 (/.f64 2 x) (.f64 x (sqrt.f64 -1/4))) (sqrt.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2)))) (/.f64 (hypot.f64 (/.f64 2 x) (.f64 x (sqrt.f64 -1/4))) (sqrt.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (/.f64 2 x) (.f64 x (sqrt.f64 -1/4))) (.f64 (hypot.f64 (/.f64 2 x) (.f64 x (sqrt.f64 -1/4))) 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simplify113.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1508×	`associate-r`
1282×	`associate-l`
908×	`associate-/l*`
730×	`*-commutative`
702×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	579	13591
1	1810	13395

Stop Event

1×	node limit

Counts

271 → 356

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 2 x)
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(/.f64 4 (pow.f64 x 2))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))) 1)
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(cbrt.f64 (pow.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (*.f64 x x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (*.f64 x x)))))
(exp.f64 (log.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (*.f64 x x)))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (*.f64 x x)))))
(fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x)))
(fma.f64 (.f64 x x) -1/4 (/.f64 4 (.f64 x x)))
(fma.f64 4 (pow.f64 x -2) (.f64 -1/4 (.f64 x x)))
(fma.f64 (/.f64 2 x) (/.f64 2 x) (.f64 -1/4 (.f64 x x)))
(fma.f64 1 (.f64 -1/4 (.f64 x x)) (/.f64 4 (*.f64 x x)))
(fma.f64 1 (/.f64 4 (.f64 x x)) (.f64 -1/4 (*.f64 x x)))
(fma.f64 (.f64 x (sqrt.f64 -1/4)) (.f64 x (sqrt.f64 -1/4)) (/.f64 4 (*.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (.f64 -1/4 (.f64 x x))) (/.f64 4 (.f64 x x)))
(fma.f64 (cbrt.f64 (/.f64 16 (pow.f64 x 4))) (cbrt.f64 (/.f64 4 (.f64 x x))) (.f64 -1/4 (*.f64 x x)))
(fma.f64 (.f64 -1/4 x) x (/.f64 4 (.f64 x x)))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 2 x)
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x 1/2 (/.f64 2 x))
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x 1/2 (/.f64 2 x))
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x 1/2 (/.f64 2 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x 1/2 (/.f64 2 x))
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x 1/2 (/.f64 2 x))
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x 1/2 (/.f64 2 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x 1/2 (/.f64 2 x))
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x 1/2 (/.f64 2 x))
(+.f64 (.f64 1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x 1/2 (/.f64 2 x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x)))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x)))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x)))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x)))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x)))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x)))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x)))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x)))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))) 1)
(/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/2))))
(/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2))) 1)
(/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 1 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2))))
(/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (/.f64 (hypot.f64 (/.f64 2 x) (.f64 x (sqrt.f64 -1/4))) (sqrt.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2)))) (/.f64 (hypot.f64 (/.f64 2 x) (.f64 x (sqrt.f64 -1/4))) (sqrt.f64 (+.f64 (/.f64 2 x) (*.f64 x 1/2)))))
(pow.f64 (/.f64 (hypot.f64 (/.f64 2 x) (*.f64 x (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 x 1/2 (/.f64 2 x)))) 2)
(/.f64 (pow.f64 (hypot.f64 (/.f64 2 x) (*.f64 x (sqrt.f64 -1/4))) 2) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (hypot.f64 (/.f64 2 x) (.f64 x (sqrt.f64 -1/4))) (.f64 (hypot.f64 (/.f64 2 x) (.f64 x (sqrt.f64 -1/4))) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/2)))))
(pow.f64 (/.f64 (hypot.f64 (/.f64 2 x) (*.f64 x (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 x 1/2 (/.f64 2 x)))) 2)
(/.f64 (pow.f64 (hypot.f64 (/.f64 2 x) (*.f64 x (sqrt.f64 -1/4))) 2) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2)))) 2))
(/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2)))))
(/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x)))) 2) (.f64 (cbrt.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x)))) (/.f64 1 (+.f64 (/.f64 2 x) (*.f64 x 1/2)))))
(/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (/.f64 1 (+.f64 (/.f64 2 x) (.f64 x 1/2))) (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (*.f64 x x))))
(/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (neg.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x)))) (/.f64 1 (neg.f64 (+.f64 (/.f64 2 x) (*.f64 x 1/2)))))
(.f64 (neg.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (*.f64 x x)))) (/.f64 1 (neg.f64 (fma.f64 x 1/2 (/.f64 2 x)))))
(/.f64 (neg.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x)))) (neg.f64 (fma.f64 x 1/2 (/.f64 2 x))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2)))) (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (sqrt.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2)))))
(/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2))) 2)) (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (cbrt.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2)))))
(/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (-.f64 (/.f64 4 (.f64 x x)) (.f64 (.f64 x x) 1/4))) (+.f64 (/.f64 2 x) (.f64 -1/2 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 8 (pow.f64 x 3)) (.f64 1/8 (pow.f64 x 3)))) (+.f64 (/.f64 4 (.f64 x x)) (.f64 (.f64 x 1/2) (-.f64 (*.f64 x 1/2) (/.f64 2 x)))))
(.f64 (/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 8 (pow.f64 x 3)) (.f64 (pow.f64 x 3) 1/8))) (+.f64 (/.f64 4 (.f64 x x)) (.f64 x (.f64 1/2 (-.f64 (.f64 x 1/2) (/.f64 2 x))))))
(/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (.f64 (pow.f64 x 3) 1/8)) (+.f64 (/.f64 4 (.f64 x x)) (.f64 x (.f64 1/2 (-.f64 (*.f64 x 1/2) (/.f64 2 x)))))))
(.f64 (/.f64 1 (-.f64 (/.f64 4 (.f64 x x)) (.f64 (.f64 x x) 1/4))) (.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 -1/2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 x 3)) (.f64 1/8 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 4 (.f64 x x)) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (/.f64 2 x))))))
(.f64 (/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 8 (pow.f64 x 3)) (.f64 (pow.f64 x 3) 1/8))) (+.f64 (/.f64 4 (.f64 x x)) (.f64 x (.f64 1/2 (-.f64 (.f64 x 1/2) (/.f64 2 x))))))
(/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (.f64 (pow.f64 x 3) 1/8)) (+.f64 (/.f64 4 (.f64 x x)) (.f64 x (.f64 1/2 (-.f64 (*.f64 x 1/2) (/.f64 2 x)))))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2)))) (neg.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (*.f64 x x)))))
(.f64 (neg.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (*.f64 x x)))) (/.f64 1 (neg.f64 (fma.f64 x 1/2 (/.f64 2 x)))))
(/.f64 (neg.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x)))) (neg.f64 (fma.f64 x 1/2 (/.f64 2 x))))
(.f64 (/.f64 (hypot.f64 (/.f64 2 x) (.f64 x (sqrt.f64 -1/4))) 1) (/.f64 (hypot.f64 (/.f64 2 x) (.f64 x (sqrt.f64 -1/4))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))
(pow.f64 (/.f64 (hypot.f64 (/.f64 2 x) (*.f64 x (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 x 1/2 (/.f64 2 x)))) 2)
(/.f64 (pow.f64 (hypot.f64 (/.f64 2 x) (*.f64 x (sqrt.f64 -1/4))) 2) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (/.f64 (hypot.f64 (/.f64 2 x) (.f64 x (sqrt.f64 -1/4))) (+.f64 (/.f64 2 x) (.f64 x 1/2))) (hypot.f64 (/.f64 2 x) (.f64 x (sqrt.f64 -1/4))))
(pow.f64 (/.f64 (hypot.f64 (/.f64 2 x) (*.f64 x (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 x 1/2 (/.f64 2 x)))) 2)
(/.f64 (pow.f64 (hypot.f64 (/.f64 2 x) (*.f64 x (sqrt.f64 -1/4))) 2) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (/.f64 (hypot.f64 (/.f64 2 x) (.f64 x (sqrt.f64 -1/4))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2))) 2)) (/.f64 (hypot.f64 (/.f64 2 x) (.f64 x (sqrt.f64 -1/4))) (cbrt.f64 (+.f64 (/.f64 2 x) (*.f64 x 1/2)))))
(pow.f64 (/.f64 (hypot.f64 (/.f64 2 x) (*.f64 x (sqrt.f64 -1/4))) (sqrt.f64 (fma.f64 x 1/2 (/.f64 2 x)))) 2)
(/.f64 (pow.f64 (hypot.f64 (/.f64 2 x) (*.f64 x (sqrt.f64 -1/4))) 2) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x)))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))
(/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x)))) 2) (sqrt.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2)))) (/.f64 (cbrt.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x)))) (sqrt.f64 (+.f64 (/.f64 2 x) (*.f64 x 1/2)))))
(/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x)))) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2))) 2)) (cbrt.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (*.f64 x x)))) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (/.f64 2 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x)))) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (/.f64 2 x))) 2) (cbrt.f64 (/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x)))) 2) (+.f64 (/.f64 2 x) (.f64 x 1/2))) (cbrt.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x)))))
(/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (neg.f64 (-.f64 (/.f64 4 (.f64 x x)) (.f64 (.f64 x x) 1/4)))) (neg.f64 (+.f64 (/.f64 2 x) (.f64 -1/2 x))))
(.f64 (/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (neg.f64 (-.f64 (/.f64 4 (.f64 x x)) (.f64 x (.f64 x 1/4))))) (neg.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(.f64 (/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (neg.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (*.f64 x x))))) (neg.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (.f64 1/8 (pow.f64 x 3))))) (neg.f64 (+.f64 (/.f64 4 (.f64 x x)) (.f64 (.f64 x 1/2) (-.f64 (*.f64 x 1/2) (/.f64 2 x))))))
(.f64 (/.f64 (fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x))) (neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (.f64 (pow.f64 x 3) 1/8)))) (neg.f64 (+.f64 (/.f64 4 (.f64 x x)) (.f64 x (.f64 1/2 (-.f64 (.f64 x 1/2) (/.f64 2 x)))))))
(.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (-.f64 (.f64 (.f64 x x) 1/4) (/.f64 4 (.f64 x x)))) (-.f64 (.f64 x 1/2) (/.f64 2 x)))
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(fma.f64 1 (/.f64 4 (.f64 x x)) (.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x)))
(fma.f64 (.f64 x (sqrt.f64 -1/4)) (.f64 x (sqrt.f64 -1/4)) (/.f64 4 (*.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (.f64 -1/4 (.f64 x x))) (/.f64 4 (.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x -1/4))) (/.f64 4 (.f64 x x)))
(fma.f64 (cbrt.f64 (/.f64 16 (pow.f64 x 4))) (cbrt.f64 (/.f64 4 (.f64 x x))) (.f64 -1/4 (*.f64 x x)))
(fma.f64 (cbrt.f64 (/.f64 16 (pow.f64 x 4))) (cbrt.f64 (/.f64 4 (.f64 x x))) (.f64 x (*.f64 x -1/4)))
(fma.f64 (.f64 -1/4 x) x (/.f64 4 (.f64 x x)))
(fma.f64 -1/4 (.f64 x x) (/.f64 4 (.f64 x x)))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 20 computations (20% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite98.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`associate-*r/`
926×	`associate-*l/`
770×	`*-commutative`
682×	`distribute-lft-in`
648×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	218	28
2	2847	28

Stop Event

1×	node limit

Counts

2 → 204

Calls

Call 1

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

Outputs

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

simplify142.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1048×	`associate--r-`
634×	`distribute-lft-in`
572×	`distribute-rgt-in`
534×	`associate--l-`
432×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	517	11478
1	1424	10962
2	6256	10880

Stop Event

1×	node limit

Counts

228 → 318

Calls

Call 1

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

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

eval627.0ms (9.3%)

Compiler: Compiled 35796 to 26021 computations (27.3% saved)

prune307.0ms (4.5%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1331	2	1333
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	1331	9	1340

Error

Counts

1340 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.2b	(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))
✓	1.1b	(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
▶	0.7b	(neg.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
✓	32.2b	(log.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))
✓	0.7b	(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	1.1b	(log.f64 (/.f64 2 x))
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	0.7b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 104 to 79 computations (24% saved)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 49 to 28 computations (42.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite80.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`*-commutative`
930×	`associate-*r/`
780×	`associate-/r*`
666×	`associate-*l/`
624×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	234	46
2	2990	46

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

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

Outputs

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

simplify94.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1684×	`associate-/l*`
1434×	`associate-*r/`
1044×	`associate-/r*`
954×	`*-commutative`
846×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	393	6534
1	1017	5598
2	3539	5598

Stop Event

1×	node limit

Counts

154 → 241

Calls

Call 1

Inputs
(+.f64 (log.f64 1/2) (log.f64 x))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 1/32 (pow.f64 x 4)) (log.f64 x))))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 1/192 (pow.f64 x 6)) (+.f64 (*.f64 1/32 (pow.f64 x 4)) (log.f64 x)))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 2))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/32 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (.f64 1/128 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/32 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (.f64 128 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (.f64 128 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) 0)
(+.f64 (log.f64 x) (log.f64 (/.f64 1 (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(+.f64 (log.f64 x) (.f64 1 (log.f64 (/.f64 1 (+.f64 2 (.f64 -1/2 (*.f64 x x)))))))
(+.f64 (log.f64 x) (.f64 1 (neg.f64 (log.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))))))
(+.f64 (log.f64 x) (.f64 (log.f64 (/.f64 1 (+.f64 2 (.f64 -1/2 (*.f64 x x))))) 1))
(+.f64 (log.f64 x) (.f64 (neg.f64 (log.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))))) 1))
(+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (log.f64 x))
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (/.f64 1 (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (log.f64 (cbrt.f64 x)) (neg.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (-.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(+.f64 0 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) 2)) (log.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(+.f64 (neg.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (log.f64 x))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) 2))) (log.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))))) (log.f64 (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (.f64 x x))))
(+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))))) (log.f64 (+.f64 2 (.f64 x (*.f64 1/2 x)))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))) (.f64 1 (log.f64 (sqrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) 2))) (.f64 1 (log.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))) 1) (.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))) 1))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))) 1))
(-.f64 (log.f64 x) (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (+.f64 -2 (.f64 x (.f64 1/2 x)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))) 1)
(-.f64 (+.f64 0 (log.f64 (neg.f64 x))) (log.f64 (+.f64 -2 (.f64 x (.f64 1/2 x)))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))))) 1)
(-.f64 (-.f64 (log.f64 x) (log.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))))) (log.f64 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(-.f64 (-.f64 (log.f64 x) 0) (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))))
(-.f64 (-.f64 (log.f64 x) (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2))) (log.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(.f64 2 (log.f64 (sqrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (*.f64 x x)))))))
(.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (*.f64 x x))))) 1)
(.f64 1 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (*.f64 x x)))))))
(.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (*.f64 x x)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))) 2) (cbrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))))) (+.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 3)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (+.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 x)))))
(/.f64 (.f64 1 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))))) (+.f64 (log.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (log.f64 x)))
(/.f64 (.f64 1 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 3))) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (+.f64 (log.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (log.f64 x)))))
(/.f64 (.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))))) 1) (+.f64 (log.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (log.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 3)) 1) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) (+.f64 (log.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (log.f64 x)))))
(pow.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(log1p.f64 (-.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))) 1))
(+.f64 (.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (pow.f64 x 4)))) 2) (.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (pow.f64 x 4)))) (.f64 x (.f64 1/2 x))))
(+.f64 (.f64 (/.f64 x (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3)))) 4) (.f64 (/.f64 x (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3)))) (+.f64 (.f64 x x) (.f64 1/4 (pow.f64 x 4)))))
(+.f64 (.f64 (/.f64 x (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3)))) (+.f64 (.f64 x x) (.f64 1/4 (pow.f64 x 4)))) (.f64 (/.f64 x (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3)))) 4))
(+.f64 (.f64 2 (/.f64 x (+.f64 4 (.f64 -1/4 (pow.f64 x 4))))) (.f64 (.f64 x (.f64 1/2 x)) (/.f64 x (+.f64 4 (.f64 -1/4 (pow.f64 x 4))))))
(+.f64 (.f64 4 (/.f64 x (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))))) (.f64 (+.f64 (.f64 x x) (.f64 1/4 (pow.f64 x 4))) (/.f64 x (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))))))
(+.f64 (.f64 (+.f64 (.f64 x x) (.f64 1/4 (pow.f64 x 4))) (/.f64 x (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))))) (.f64 4 (/.f64 x (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))) 1)
(.f64 x (/.f64 1 (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (*.f64 x x)))) 1)
(.f64 1 (/.f64 x (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) (sqrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (*.f64 x x))))) 2))
(.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) 2) (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(.f64 (+.f64 2 (.f64 x (.f64 1/2 x))) (/.f64 x (+.f64 4 (.f64 -1/4 (pow.f64 x 4)))))
(.f64 (/.f64 1 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) x)
(.f64 (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (.f64 x x)) (/.f64 x (+.f64 8 (.f64 -1/8 (pow.f64 (*.f64 x x) 3)))))
(.f64 (neg.f64 x) (/.f64 -1 (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (/.f64 (sqrt.f64 x) 1))
(.f64 (/.f64 (cbrt.f64 x) (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (/.f64 (cbrt.f64 x) (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (/.f64 x (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
(.f64 (/.f64 x 1) (/.f64 1 (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(.f64 (/.f64 x (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
(.f64 (/.f64 x (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) 2)))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/4 (pow.f64 x 4)))) (.f64 x (+.f64 2 (.f64 x (*.f64 1/2 x)))))
(.f64 (/.f64 1 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3)))) (.f64 x (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (.f64 x x))))
(.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (pow.f64 x 4)))) (+.f64 2 (.f64 x (.f64 1/2 x))))
(.f64 (/.f64 x (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3)))) (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (*.f64 x x)))
(.f64 (/.f64 -1 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (neg.f64 x))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
(.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2)) (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (cbrt.f64 x))
(.f64 (/.f64 x (neg.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))))) (neg.f64 (+.f64 2 (.f64 x (.f64 1/2 x)))))
(.f64 (/.f64 x (neg.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))))) (neg.f64 (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (*.f64 x x))))
(.f64 (/.f64 x (-.f64 (.f64 1/4 (pow.f64 x 4)) 4)) (-.f64 (.f64 -1/2 (.f64 x x)) 2))
(.f64 (/.f64 1 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))))) (+.f64 2 (.f64 x (.f64 1/2 x))))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))))) (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (*.f64 x x)))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))))) (neg.f64 (+.f64 2 (.f64 x (.f64 1/2 x)))))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))))) (neg.f64 (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (*.f64 x x))))
(.f64 (/.f64 (/.f64 x 1) (-.f64 (.f64 1/4 (pow.f64 x 4)) 4)) (-.f64 (.f64 -1/2 (.f64 x x)) 2))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (sqrt.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))))) (sqrt.f64 (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (*.f64 x x))))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (sqrt.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))))) (sqrt.f64 (+.f64 2 (.f64 x (.f64 1/2 x)))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2)) (cbrt.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))))) (cbrt.f64 (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (*.f64 x x))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2)) (cbrt.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))))) (cbrt.f64 (+.f64 2 (.f64 x (.f64 1/2 x)))))
(pow.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(neg.f64 (/.f64 x (+.f64 -2 (.f64 x (.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(exp.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))

Outputs
(+.f64 (log.f64 1/2) (log.f64 x))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 1/4 (*.f64 x x) (+.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 (log.f64 x) (fma.f64 1/4 (*.f64 x x) (log.f64 1/2)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 1/32 (pow.f64 x 4)) (log.f64 x))))
(fma.f64 1/4 (*.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 1/32 (pow.f64 x 4) (log.f64 x))))
(+.f64 (fma.f64 1/32 (pow.f64 x 4) (log.f64 x)) (fma.f64 1/4 (*.f64 x x) (log.f64 1/2)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 1/192 (pow.f64 x 6)) (+.f64 (*.f64 1/32 (pow.f64 x 4)) (log.f64 x)))))
(fma.f64 1/4 (*.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 1/192 (pow.f64 x 6) (fma.f64 1/32 (pow.f64 x 4) (log.f64 x)))))
(+.f64 (fma.f64 1/192 (pow.f64 x 6) (fma.f64 1/32 (pow.f64 x 4) (log.f64 x))) (fma.f64 1/4 (*.f64 x x) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -2) (/.f64 4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 x)) (/.f64 4 (*.f64 x x)))
(+.f64 (log.f64 -2) (-.f64 (/.f64 (/.f64 4 x) x) (log.f64 x)))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2))))
(+.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (neg.f64 (log.f64 x))) (+.f64 (log.f64 -2) (/.f64 4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 -2) (/.f64 4 (*.f64 x x))) (-.f64 (/.f64 8 (pow.f64 x 4)) (log.f64 x)))
(+.f64 (/.f64 (/.f64 4 x) x) (+.f64 (-.f64 (log.f64 -2) (log.f64 x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 64/3 (pow.f64 x 6))) (+.f64 (log.f64 -2) (/.f64 4 (*.f64 x x)))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 64/3 (pow.f64 x 6)) (log.f64 -2))) (log.f64 x)))
(+.f64 (/.f64 (/.f64 4 x) x) (+.f64 (+.f64 (log.f64 -2) (/.f64 64/3 (pow.f64 x 6))) (-.f64 (/.f64 8 (pow.f64 x 4)) (log.f64 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 2))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 4 (*.f64 x x)))
(+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 2)))
(+.f64 (/.f64 (/.f64 4 x) x) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 2)))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 4 (*.f64 x x))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 2))))
(+.f64 (/.f64 (/.f64 4 x) x) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 2))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 2)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 64/3 (pow.f64 x 6)) (log.f64 2)))))
(+.f64 (/.f64 (/.f64 4 x) x) (+.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 2))) (/.f64 64/3 (pow.f64 x 6))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/32 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/32 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (.f64 1/128 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/32 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/128 (pow.f64 x 7) (fma.f64 1/2 x (fma.f64 1/32 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 2 x)))
(+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -2 x))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 32 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -2 x)) (/.f64 32 (pow.f64 x 5)))
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(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
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(/.f64 (/.f64 x (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 2))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) 2)))
(/.f64 (.f64 (/.f64 x (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) 1) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) 2))
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 2))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (/.f64 x (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 -1/2 (.f64 x x) 2))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) 2)))
(.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (/.f64 x (sqrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 -1/2 (.f64 x x) 2))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2)) (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (*.f64 x x))))))
(/.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x)))) 2))
(.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/2 (.f64 x x) 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2)))
(.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (+.f64 2 (.f64 -1/2 (*.f64 x x)))))
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 2 (.f64 -1/2 (*.f64 x x)))) (cbrt.f64 x))
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(.f64 (/.f64 x (neg.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))))) (neg.f64 (+.f64 2 (.f64 x (.f64 1/2 x)))))
(.f64 (+.f64 2 (.f64 x (.f64 1/2 x))) (/.f64 x (+.f64 4 (.f64 (pow.f64 x 4) -1/4))))
(.f64 (fma.f64 x (.f64 1/2 x) 2) (/.f64 x (fma.f64 (pow.f64 x 4) -1/4 4)))
(/.f64 (.f64 x (fma.f64 x (.f64 1/2 x) 2)) (fma.f64 (pow.f64 x 4) -1/4 4))
(.f64 (/.f64 x (neg.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))))) (neg.f64 (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (*.f64 x x))))
(.f64 (/.f64 x (+.f64 8 (.f64 (pow.f64 x 6) -1/8))) (+.f64 4 (fma.f64 x x (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) -1/8 8) (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) 4))))
(*.f64 x (/.f64 (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) 4)) (fma.f64 (pow.f64 x 6) -1/8 8)))
(.f64 (/.f64 x (-.f64 (.f64 1/4 (pow.f64 x 4)) 4)) (-.f64 (.f64 -1/2 (.f64 x x)) 2))
(.f64 (/.f64 x (fma.f64 1/4 (pow.f64 x 4) -4)) (fma.f64 -1/2 (.f64 x x) -2))
(.f64 (/.f64 1 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))))) (+.f64 2 (.f64 x (.f64 1/2 x))))
(.f64 (+.f64 2 (.f64 x (.f64 1/2 x))) (/.f64 x (+.f64 4 (.f64 (pow.f64 x 4) -1/4))))
(.f64 (fma.f64 x (.f64 1/2 x) 2) (/.f64 x (fma.f64 (pow.f64 x 4) -1/4 4)))
(/.f64 (.f64 x (fma.f64 x (.f64 1/2 x) 2)) (fma.f64 (pow.f64 x 4) -1/4 4))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))))) (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (*.f64 x x)))
(.f64 (/.f64 x (+.f64 8 (.f64 (pow.f64 x 6) -1/8))) (+.f64 4 (fma.f64 x x (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) -1/8 8) (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) 4))))
(*.f64 x (/.f64 (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) 4)) (fma.f64 (pow.f64 x 6) -1/8 8)))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))))) (neg.f64 (+.f64 2 (.f64 x (.f64 1/2 x)))))
(.f64 (+.f64 2 (.f64 x (.f64 1/2 x))) (/.f64 x (+.f64 4 (.f64 (pow.f64 x 4) -1/4))))
(.f64 (fma.f64 x (.f64 1/2 x) 2) (/.f64 x (fma.f64 (pow.f64 x 4) -1/4 4)))
(/.f64 (.f64 x (fma.f64 x (.f64 1/2 x) 2)) (fma.f64 (pow.f64 x 4) -1/4 4))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))))) (neg.f64 (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (*.f64 x x))))
(.f64 (/.f64 x (+.f64 8 (.f64 (pow.f64 x 6) -1/8))) (+.f64 4 (fma.f64 x x (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) -1/8 8) (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) 4))))
(*.f64 x (/.f64 (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) 4)) (fma.f64 (pow.f64 x 6) -1/8 8)))
(.f64 (/.f64 (/.f64 x 1) (-.f64 (.f64 1/4 (pow.f64 x 4)) 4)) (-.f64 (.f64 -1/2 (.f64 x x)) 2))
(.f64 (/.f64 x (fma.f64 1/4 (pow.f64 x 4) -4)) (fma.f64 -1/2 (.f64 x x) -2))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (sqrt.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))))) (sqrt.f64 (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (*.f64 x x))))
(.f64 (/.f64 x (.f64 (sqrt.f64 (+.f64 8 (.f64 (pow.f64 x 6) -1/8))) (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))))) (sqrt.f64 (+.f64 (.f64 x x) (fma.f64 1/4 (pow.f64 x 4) 4))))
(/.f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) 4)))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) 2))) (sqrt.f64 (fma.f64 (pow.f64 x 6) -1/8 8)))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (fma.f64 -1/2 (.f64 x x) 2))) (sqrt.f64 (fma.f64 (pow.f64 x 6) -1/8 8))) (sqrt.f64 (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) 4))))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))))) (sqrt.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))))) (sqrt.f64 (+.f64 2 (.f64 x (.f64 1/2 x)))))
(.f64 (/.f64 x (.f64 (sqrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/4))) (sqrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))))) (sqrt.f64 (+.f64 2 (.f64 x (*.f64 1/2 x)))))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 4))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) 2))) (sqrt.f64 (fma.f64 x (*.f64 1/2 x) 2)))
(.f64 (/.f64 x (.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) 2)) (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 4)))) (sqrt.f64 (fma.f64 x (.f64 1/2 x) 2)))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2)) (cbrt.f64 (+.f64 8 (.f64 -1/8 (pow.f64 (.f64 x x) 3))))) (cbrt.f64 (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) 4) (*.f64 x x))))
(.f64 (/.f64 x (.f64 (cbrt.f64 (+.f64 8 (.f64 (pow.f64 x 6) -1/8))) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2))) (cbrt.f64 (+.f64 (.f64 x x) (fma.f64 1/4 (pow.f64 x 4) 4))))
(/.f64 (.f64 (cbrt.f64 (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) 4))) x) (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/8 8))))
(.f64 (/.f64 x (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/8 8)))) (cbrt.f64 (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) 4))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2)) (cbrt.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))))) (cbrt.f64 (+.f64 2 (.f64 x (.f64 1/2 x)))))
(.f64 (/.f64 x (.f64 (cbrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/4))) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2))) (cbrt.f64 (+.f64 2 (.f64 x (*.f64 1/2 x)))))
(.f64 (/.f64 x (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2) (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 4)))) (cbrt.f64 (fma.f64 x (.f64 1/2 x) 2)))
(.f64 (/.f64 (/.f64 x (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 4))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2)) (cbrt.f64 (fma.f64 x (*.f64 1/2 x) 2)))
(pow.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))) 1)
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) 2)
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))) 3)
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(pow.f64 (pow.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))) 3) 1/3)
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(pow.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x) -1)
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(neg.f64 (/.f64 x (+.f64 -2 (.f64 x (.f64 1/2 x)))))
(/.f64 (neg.f64 x) (+.f64 -2 (.f64 x (.f64 1/2 x))))
(/.f64 (neg.f64 x) (fma.f64 x (*.f64 1/2 x) -2))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))) 2))
(fabs.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)))
(log.f64 (exp.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))))))
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))) 3))
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(exp.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))
(/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (/.f64 2 x))
✓	0.2b	(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))
✓	0.2b	(/.f64 1 (log.f64 (/.f64 2 x)))

Compiler

Compiled 25 to 20 computations (20% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`add-sqr-sqrt`
1622×	`*-un-lft-identity`
1512×	`add-cube-cbrt`
1498×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	208	28
2	2183	28

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(/.f64 1 (log.f64 (/.f64 2 x)))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))

Outputs

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

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

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1578×	`associate-r`
1416×	`associate-+r+`
1276×	`associate-l`
1268×	`associate-+l+`
548×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1338
1	264	1308
2	907	1300
3	6455	1300

Stop Event

1×	node limit

Counts

80 → 70

Calls

Call 1

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

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

eval111.0ms (1.6%)

Compiler: Compiled 6024 to 4399 computations (27% saved)

prune52.0ms (0.8%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	343	1	344
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	343	10	353

Error

Counts

353 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.2b	(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))
✓	1.1b	(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
	61.0b	(neg.f64 (log1p.f64 (-.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))) 1)))
✓	0.7b	(neg.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
✓	32.2b	(log.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))
✓	0.7b	(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	1.1b	(log.f64 (/.f64 2 x))
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	0.7b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 118 to 90 computations (23.7% saved)

regimes22.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
(neg.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(neg.f64 (log1p.f64 (-.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))) 1)))
(log.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (/.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) x) x))

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

Calls

3 calls:

8.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
6.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
0.0b	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 153 to 104 computations (32% saved)

regimes7.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
(neg.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
(neg.f64 (log1p.f64 (-.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x)))) 1)))
(log.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.7b	1	`x`

Compiler

Compiled 87 to 62 computations (28.7% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.7b	1	`x`

Compiler

Compiled 43 to 34 computations (20.9% saved)

regimes4.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.7b	1	`x`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.1b remaining (-10%)

Threshold costs -0.1b (-10%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.1b	1	`x`

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
14×	`*-commutative`
8×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	158
1	48	158
2	58	158
3	63	158
4	65	158

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 60 to 47 computations (21.7% saved)

soundness71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1082×	`associate-r`
996×	`associate-l`
698×	`associate-/l*`
578×	`*-commutative`
538×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	486	9489
1	1459	8215

Stop Event

1×	node limit

Compiler

Compiled 80 to 53 computations (33.8% saved)

end39.0ms (0.6%)

Compiler: Compiled 55 to 40 computations (27.3% saved)

Details

analyze4.0ms (0.1%)

sample1.2s (17.4%)

preprocess160.0ms (2.4%)

simplify156.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize21.0ms (0.3%)

series3.0ms (0%)

rewrite113.0ms (1.7%)

simplify148.0ms (2.2%)

eval285.0ms (4.2%)

prune102.0ms (1.5%)

localize14.0ms (0.2%)

series3.0ms (0%)

rewrite104.0ms (1.5%)

simplify108.0ms (1.6%)

localize5.0ms (0.1%)

series39.0ms (0.6%)

rewrite54.0ms (0.8%)

simplify66.0ms (1%)

localize41.0ms (0.6%)

series2.0ms (0%)

rewrite134.0ms (2%)

simplify88.0ms (1.3%)

eval805.0ms (11.9%)

prune197.0ms (2.9%)

localize18.0ms (0.3%)

series1.0ms (0%)

rewrite119.0ms (1.8%)

simplify102.0ms (1.5%)

localize18.0ms (0.3%)

series2.0ms (0%)

rewrite82.0ms (1.2%)

simplify279.0ms (4.1%)

localize248.0ms (3.7%)

series3.0ms (0%)

rewrite116.0ms (1.7%)

simplify113.0ms (1.7%)

localize13.0ms (0.2%)

series1.0ms (0%)

rewrite98.0ms (1.4%)

simplify142.0ms (2.1%)

eval627.0ms (9.3%)

prune307.0ms (4.5%)

localize18.0ms (0.3%)

series2.0ms (0%)

rewrite80.0ms (1.2%)

simplify94.0ms (1.4%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite57.0ms (0.8%)

simplify66.0ms (1%)

eval111.0ms (1.6%)

prune52.0ms (0.8%)

regimes22.0ms (0.3%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify8.0ms (0.1%)

soundness71.0ms (1%)

end39.0ms (0.6%)

Profiling