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 (20.1%)

Results

1.2s	8256×	body	256	valid
2.0ms	22×	body	256	invalid

Bogosity

preprocess139.0ms (2.3%)

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)

simplify142.0ms (2.4%)

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)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite127.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`associate-/r*`
978×	`associate-/l*`
714×	`distribute-lft-in`
544×	`associate-/r/`
302×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	114
1	261	114
2	3680	114

Stop Event

1×	node limit

Counts

4 → 285

Calls

Call 1

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

Outputs
((#(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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (.f64 x x) (+.f64 1 (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 (.f64 1/2 (log1p.f64 (.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 x (neg.f64 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 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -1) (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) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 x)))))) (#(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)))) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (cbrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) 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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 (log.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -1)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) x)) (log.f64 (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -1))) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 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simplify142.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

956×	`associate-r`
746×	`associate-l`
700×	`associate-/r*`
578×	`*-commutative`
516×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	804	19127
1	2146	17821

Stop Event

1×	node limit

Counts

333 → 522

Calls

Call 1

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

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

eval396.0ms (6.7%)

Compiler: Compiled 13432 to 8742 computations (34.9% saved)

prune287.0ms (4.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	517	5	522
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	518	5	523

Error

Counts

523 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))
▶	33.7b	(log.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x)))
▶	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	0.6b	(log.f64 (/.f64 2 x))
▶	0.3b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 118 to 86 computations (27.1% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite76.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`associate-*r/`
1088×	`associate-*l/`
1020×	`*-commutative`
920×	`associate-/r*`
716×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	233	54
2	3172	54

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

Inputs
(log.f64 (/.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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Outputs

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

simplify93.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1298×	`associate-/r*`
1194×	`associate-/l*`
812×	`*-commutative`
810×	`associate-*r/`
776×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	364	7050
1	931	6578
2	3174	6550

Stop Event

1×	node limit

Counts

142 → 250

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 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
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 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 0)
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (pow.f64 x -1)))
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (pow.f64 x -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (log.f64 (pow.f64 x -1))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (-.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (log.f64 x)))
(+.f64 (log.f64 (pow.f64 x -1)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (.f64 (log.f64 x) 2) (-.f64 (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 (pow.f64 x -1))))
(-.f64 (.f64 (log.f64 x) 2) (-.f64 (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (log.f64 x))))
(-.f64 (.f64 (log.f64 x) 2) (+.f64 (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (-.f64 (log.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (pow.f64 x -1))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (-.f64 (log.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (+.f64 (log.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))) 1)
(-.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 0) (log.f64 x))
(-.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(.f64 1 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 1)
(.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(/.f64 (-.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (.f64 1 (-.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(/.f64 (.f64 (-.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) 1) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1))
(-.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 (-.f64 2 (.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 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))
(/.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)))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (neg.f64 (.f64 x x)) (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (+.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 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (/.f64 1 (/.f64 1 (-.f64 (-.f64 2 (.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 (-.f64 2 (.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 (-.f64 2 (.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 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 (neg.f64 (.f64 x x)) 0) (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1))
(/.f64 (.f64 1 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (neg.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (.f64 1 (+.f64 (neg.f64 (.f64 x 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 (-.f64 2 (.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) (pow.f64 (cbrt.f64 x) 2)) (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 (-.f64 2 (.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 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 x 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 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (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 (-.f64 2 (.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 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 2)) (-.f64 1 (*.f64 x x))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) 3)) (/.f64 1 (-.f64 (-.f64 2 (.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 (-.f64 2 (.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 (-.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)) (sqrt.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (-.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 (cbrt.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (cbrt.f64 (-.f64 (-.f64 2 (.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 (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 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 -3/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 -3/32 (pow.f64 x 4))) (log.f64 x)) (fma.f64 -5/96 (pow.f64 x 6) (log.f64 2)))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 (sqrt.f64 -1)) x))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 (sqrt.f64 -1)) x)) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (/.f64 -1/6 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 (sqrt.f64 -1)) x)) (/.f64 1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
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(/.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 (-.f64 2 (.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 (sqrt.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x 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)) (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/4))) (sqrt.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/4)) (sqrt.f64 (-.f64 2 (fma.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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 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))))) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.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)))))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 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 (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 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (/.f64 (cbrt.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (/.f64 (cbrt.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))))
(.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (-.f64 2 (fma.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 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (+.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 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 (neg.f64 (.f64 x x)) 0) 1) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(.f64 (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(.f64 x (/.f64 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 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 x (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (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)) (/.f64 x (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 (-.f64 2 (.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 (sqrt.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x 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)) (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/4))) (sqrt.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/4)) (sqrt.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (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 (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))))) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.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)))))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 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 (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 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (/.f64 (cbrt.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (/.f64 (cbrt.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))))
(.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (-.f64 2 (fma.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 1 (pow.f64 (-.f64 1 (.f64 x x)) 2)) (/.f64 (-.f64 2 (.f64 x x)) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 2)) (.f64 (-.f64 2 (.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 2)) (-.f64 2 (.f64 x x))) (-.f64 1 (sqrt.f64 (-.f64 1 (*.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 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 2)) (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2) (-.f64 1 (.f64 x x)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (.f64 (-.f64 (+.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2) 2) (.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 (-.f64 2 (.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 (-.f64 2 (.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 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (/.f64 1 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) 3)) (.f64 (+.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3) (-.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 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 (pow.f64 (-.f64 1 (.f64 x x)) 3) (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (/.f64 1 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))))) (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))
(/.f64 (.f64 (/.f64 1 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3))) (-.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 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (.f64 (-.f64 2 (fma.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 x (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(.f64 x (/.f64 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 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(.f64 x (/.f64 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 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(.f64 x (/.f64 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 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.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 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 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.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 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 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (cbrt.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (+.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 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)

localize7.0ms (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)

series41.0ms (0.7%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(log.f64 (/.f64 2 x))
13.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
6.0ms	x	@	inf	(log.f64 (/.f64 2 x))

rewrite52.0ms (0.9%)

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))))))

simplify59.0ms (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)))

localize15.0ms (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)

series2.0ms (0%)

Counts

2 → 15

Calls

6 calls:

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

rewrite84.0ms (1.4%)

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 x))) (-.f64 1 (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 x))) (-.f64 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/2 x) (exp.f64 (log1p.f64 (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 2 x) (exp.f64 (log1p.f64 (*.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (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))))))) (#(struct:change #<rule egg-rr> (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))))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (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))))))) (#(struct:change #<rule egg-rr> (2) ((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))) (fma.f64 -1/2 x (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (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 x) (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 x) (*.f64 x 1/2)) (+.f64 (/.f64 2 x) (*.f64 x 1/2)))))) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (/.f64 -2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 1/4 (*.f64 x x)) 3) (pow.f64 (-.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (/.f64 -1 x))) 3))) (+.f64 (*.f64 (*.f64 x (pow.f64 x 3)) 1/16) (*.f64 (-.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (/.f64 -1 x))) (-.f64 (-.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (/.f64 -1 x))) (*.f64 1/4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x 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(/.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))))))

simplify119.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1888×	`associate-*r/`
1562×	`associate-*l/`
652×	`+-commutative`
438×	`associate-+r+`
426×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	6928
1	1047	6308
2	4155	6284

Stop Event

1×	node limit

Counts

138 → 245

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

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x)))
✓	0.0b	(.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))
	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	31.7b	(/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x))

Compiler

Compiled 64 to 30 computations (53.1% saved)

series32.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x))
0.0ms	x	@	inf	(/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x))
0.0ms	x	@	inf	(.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))
0.0ms	x	@	-inf	(.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))

rewrite87.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`associate-/r*`
1172×	`associate-/l*`
840×	`distribute-lft-in`
424×	`associate-/l/`
386×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	109
1	257	101
2	3647	101

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

Outputs

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

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

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simplify129.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1480×	`associate-*r/`
1162×	`associate-+l+`
998×	`+-commutative`
790×	`associate-+r+`
484×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	403	8117
1	1109	7675
2	4382	7635

Stop Event

1×	node limit

Counts

155 → 280

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)))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/8 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (pow.f64 x 5)) x)))
(*.f64 (sqrt.f64 -1) (pow.f64 x 2))
(+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(-.f64 (+.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 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (+.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))) (*.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 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.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 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1)))))
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(-.f64 (-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) 0) (log.f64 x))
(-.f64 (-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(.f64 1 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2))))
(.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2))) 1)
(.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))) (sqrt.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2)))))
(.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))) 2)) (cbrt.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2)))))
(.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x)))
(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 x)))) (+.f64 (.f64 2 (log.f64 x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 3) (pow.f64 (.f64 2 (log.f64 x)) 3)) (+.f64 (+.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 x)))) (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (*.f64 2 (log.f64 x)))))
(pow.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))) 1)
(pow.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))) 3)
(pow.f64 (pow.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(sqrt.f64 (pow.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))))
(exp.f64 (log.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2)))) 1))
(log1p.f64 (-.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)) 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 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (/.f64 1 x)))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (/.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 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (+.f64 (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (+.f64 (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 1/8 (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 x (.f64 x (sqrt.f64 -1)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 -1/2 (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 (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 x (*.f64 x (sqrt.f64 -1))))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 4)) (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1))))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) x)
(fma.f64 -1/2 (pow.f64 x 3) x)
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/8 (pow.f64 x 5)) x))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/8 (pow.f64 x 5) x))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (pow.f64 x 5)) x)))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 7) (fma.f64 -1/8 (pow.f64 x 5) x)))
(*.f64 (sqrt.f64 -1) (pow.f64 x 2))
(.f64 (sqrt.f64 -1) (.f64 x x))
(.f64 x (.f64 x (sqrt.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 -1) (.f64 x x)) (/.f64 1/2 (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 -1) (*.f64 x x) (/.f64 1/2 (sqrt.f64 -1)))
(-.f64 (+.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 (+.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 1/8 (.f64 (sqrt.f64 -1) (*.f64 x (neg.f64 x)))))
(+.f64 (/.f64 1/2 (sqrt.f64 -1)) (fma.f64 (sqrt.f64 -1) (.f64 x x) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (.f64 x x))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (+.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 (/.f64 1/16 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5))) (-.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 (/.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 4)) (/.f64 1/8 (.f64 (sqrt.f64 -1) (*.f64 x (neg.f64 x))))))
(+.f64 (/.f64 1/2 (sqrt.f64 -1)) (+.f64 (/.f64 1/16 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 (sqrt.f64 -1) (.f64 x x) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (*.f64 x x)))))
(.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(.f64 (neg.f64 (sqrt.f64 -1)) (.f64 x x))
(.f64 (sqrt.f64 -1) (.f64 x (neg.f64 x)))
(.f64 x (.f64 x (neg.f64 (sqrt.f64 -1))))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(-.f64 (.f64 (neg.f64 (sqrt.f64 -1)) (.f64 x x)) (/.f64 1/2 (sqrt.f64 -1)))
(fma.f64 (neg.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 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x))) (-.f64 (.f64 (neg.f64 (sqrt.f64 -1)) (.f64 x x)) (/.f64 1/2 (sqrt.f64 -1))))
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (.f64 x x)) (fma.f64 (neg.f64 (sqrt.f64 -1)) (.f64 x x) (/.f64 -1/2 (sqrt.f64 -1))))
(-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (.f64 x x)) (fma.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 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x))) (-.f64 (.f64 (neg.f64 (sqrt.f64 -1)) (.f64 x x)) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 1/16 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5))))))
(-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (.f64 x x)) (fma.f64 (neg.f64 (sqrt.f64 -1)) (.f64 x x) (/.f64 -1/2 (sqrt.f64 -1)))) (/.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 4)))
(-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (.f64 x x)) (+.f64 (fma.f64 (sqrt.f64 -1) (.f64 x x) (/.f64 1/2 (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5)))))
(+.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 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) -3/32)) (log.f64 x)))
(+.f64 (.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) -3/32)) (log.f64 x)) (fma.f64 -5/96 (pow.f64 x 6) (log.f64 2)))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (.f64 x (sqrt.f64 -1)))) (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 -1/6 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 1/6 (sqrt.f64 -1)) (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 -1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 1/6 (sqrt.f64 -1)) (pow.f64 x 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 (/.f64 -1/6 (sqrt.f64 -1)) (pow.f64 x 3)) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (.f64 x (sqrt.f64 -1)))) (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (/.f64 (/.f64 -1/6 (sqrt.f64 -1)) (pow.f64 x 3)) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 -1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (.f64 (pow.f64 x -2) x) (.f64 (pow.f64 x -2) (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))
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(+.f64 (-.f64 (log.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 1 (.f64 x x))))) (log.f64 (-.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))) (*.f64 -2 (log.f64 x)))
(-.f64 (log.f64 (.f64 x (-.f64 x (.f64 x (-.f64 1 (.f64 x x)))))) (fma.f64 2 (log.f64 x) (log.f64 (-.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 1 (.f64 x x))))) (-.f64 (log.f64 (-.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (neg.f64 (*.f64 2 (log.f64 x)))))
(+.f64 (-.f64 (log.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 1 (.f64 x x))))) (log.f64 (-.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))) (*.f64 -2 (log.f64 x)))
(-.f64 (log.f64 (.f64 x (-.f64 x (.f64 x (-.f64 1 (.f64 x x)))))) (fma.f64 2 (log.f64 x) (log.f64 (-.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 1 (.f64 x x))))) (+.f64 (log.f64 (-.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (*.f64 2 (log.f64 x))))
(+.f64 (-.f64 (log.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 1 (.f64 x x))))) (log.f64 (-.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))) (*.f64 -2 (log.f64 x)))
(-.f64 (log.f64 (.f64 x (-.f64 x (.f64 x (-.f64 1 (.f64 x x)))))) (fma.f64 2 (log.f64 x) (log.f64 (-.f64 x (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) (log.f64 x))
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))))) 1)
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(-.f64 (-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (log.f64 x)) (log.f64 x))
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(-.f64 (+.f64 0 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (log.f64 (.f64 x (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (neg.f64 (.f64 x x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (.f64 x (neg.f64 x))))
(-.f64 (+.f64 0 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x))) (log.f64 x))
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))))) 1)
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(-.f64 (-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 0) (.f64 2 (log.f64 x)))
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(-.f64 (-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (log.f64 (cbrt.f64 (pow.f64 x 4)))) (log.f64 (pow.f64 (cbrt.f64 x) 2)))
(-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (+.f64 (log.f64 (cbrt.f64 (pow.f64 x 4))) (.f64 2 (log.f64 (cbrt.f64 x)))))
(+.f64 (-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (cbrt.f64 (pow.f64 x 4)))) (.f64 -2 (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (-.f64 (.f64 -2 (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 (pow.f64 x 4)))))
(-.f64 (-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) 0) (log.f64 x))
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(-.f64 (-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) x)) (.f64 2 (log.f64 (sqrt.f64 x))))
(-.f64 (-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) x)) (+.f64 (.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x))))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) x)) (.f64 3 (log.f64 (cbrt.f64 x))))
(.f64 1 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2))))
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2))) 1)
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))) (sqrt.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2)))))
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 2)) (cbrt.f64 (log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 1 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))) 2)) (cbrt.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2)))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 2)) (cbrt.f64 (log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 1 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))))
(.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x)))
(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 x)))) (+.f64 (.f64 2 (log.f64 x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(/.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (fma.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 -4 (.f64 (log.f64 x) (log.f64 x)))) (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 3) (pow.f64 (.f64 2 (log.f64 x)) 3)) (+.f64 (+.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 x)))) (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (*.f64 2 (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 3) (.f64 8 (pow.f64 (log.f64 x) 3))) (+.f64 (fma.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 4 (.f64 (log.f64 x) (log.f64 x)))) (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (*.f64 2 (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 3) (.f64 -8 (pow.f64 (log.f64 x) 3))) (fma.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (.f64 2 (log.f64 x)) (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))
(pow.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))) 1)
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))) 2)
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))) 3)
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))) 3) 1/3)
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(neg.f64 (log.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))) 2))
(sqrt.f64 (pow.f64 (log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 2))
(fabs.f64 (log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))) 3))
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))))
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))))
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2)))) 1))
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(log.f64 (fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x)))
(log1p.f64 (-.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)) 1))
(log1p.f64 (fma.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2) -1))
(log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) -1))

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	0.2b	(.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))
✓	0.6b	(cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))

Compiler

Compiled 73 to 45 computations (38.4% saved)

series6.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))
1.0ms	x	@	inf	(cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
1.0ms	x	@	-inf	(.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))
1.0ms	x	@	-inf	(cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
0.0ms	x	@	0	(.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))

rewrite93.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`associate-*r/`
1448×	`associate-*l/`
974×	`associate-/r*`
292×	`add-sqr-sqrt`
280×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	113
1	290	101
2	3776	101

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

Inputs

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

(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))

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

Outputs

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simplify121.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1700×	`distribute-lft-in`
960×	`associate-/l*`
808×	`associate-/r*`
714×	`associate-+r+`
704×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	411	11122
1	1007	10366
2	3553	10366

Stop Event

1×	node limit

Counts

152 → 254

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 -1) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) (/.f64 1 x))) (pow.f64 (sqrt.f64 -1) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) (/.f64 1 x))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (pow.f64 x 2)))) (pow.f64 (sqrt.f64 -1) 1/3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) (/.f64 1 x))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (pow.f64 x 3)))) (pow.f64 (sqrt.f64 -1) 1/3))))
(.f64 (pow.f64 (.f64 (sqrt.f64 -1) 1) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) (/.f64 (cbrt.f64 -1) x))) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) 1) 1/3) (cbrt.f64 -1)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) (/.f64 (cbrt.f64 -1) x))) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 -1) 1) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))) (pow.f64 x 2))))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) (/.f64 (cbrt.f64 -1) x))) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 -1) 1) 1/3) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))))) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))) (pow.f64 x 2)))))))
(*.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3)))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (/.f64 1 x)) (.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (/.f64 1 x)) (+.f64 (.f64 3/2 (/.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1))) (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9))) (pow.f64 x 2))) (*.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3)))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (/.f64 1 x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/3)) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 14)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))) (.f64 -2 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (sqrt.f64 -1))))) (pow.f64 x 3))) (+.f64 (.f64 3/2 (/.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1))) (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9))) (pow.f64 x 2))) (*.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3))))))
(.f64 3 (log.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) (cbrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (/.f64 1 x))) (.f64 3 (log.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) (cbrt.f64 -1)))))
(+.f64 (.f64 3/2 (/.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1))) (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (/.f64 1 x))) (.f64 3 (log.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 -1) 1) 1/3) (cbrt.f64 -1))))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/3)) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 14)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))) (.f64 -2 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (sqrt.f64 -1))))) (pow.f64 x 3))) (+.f64 (.f64 3/2 (/.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1))) (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (/.f64 1 x))) (.f64 3 (log.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 -1) 1) 1/3) (cbrt.f64 -1)))))))
(log.f64 (pow.f64 (sqrt.f64 -1) 1/3))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (/.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (/.f64 1 x))) (.f64 1/2 (/.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1))) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9))) (pow.f64 x 2)))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (/.f64 1 x))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1))) (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9))) (pow.f64 x 2))) (.f64 1/6 (/.f64 (+.f64 (.f64 2/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/3)) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 14)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))) (.f64 -2 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (sqrt.f64 -1))))) (pow.f64 x 3))))))
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(+.f64 (+.f64 0 (log.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 1/6))) (log.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 1/6)))
(-.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (cbrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))))) 1)
(-.f64 (+.f64 0 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (cbrt.f64 x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))))) 1)
(.f64 1 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1)
(.f64 (sqrt.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) (sqrt.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))))
(.f64 (cbrt.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) (pow.f64 (cbrt.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) 2) (cbrt.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))))
(.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(pow.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 1)
(pow.f64 (sqrt.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) 2)
(pow.f64 (cbrt.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) 3)
(pow.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 2))
(cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))))
(exp.f64 (log.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1))
(log1p.f64 (-.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 1))

Outputs
(pow.f64 (sqrt.f64 -1) 1/3)
(cbrt.f64 (sqrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) (/.f64 1 x))) (pow.f64 (sqrt.f64 -1) 1/3))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18)) (/.f64 1 x)) (cbrt.f64 (sqrt.f64 -1)))
(fma.f64 1/3 (/.f64 (*.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)) x) (cbrt.f64 (sqrt.f64 -1)))
(fma.f64 1/3 (/.f64 (pow.f64 -1 1/18) (/.f64 x (pow.f64 -1 1/18))) (cbrt.f64 (sqrt.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) (/.f64 1 x))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (pow.f64 x 2)))) (pow.f64 (sqrt.f64 -1) 1/3)))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18)) (/.f64 1 x)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))) (.f64 x x))) (cbrt.f64 (sqrt.f64 -1))))
(fma.f64 1/3 (/.f64 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)) x) (fma.f64 1/3 (.f64 (/.f64 (cbrt.f64 -1) x) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) 1/3))) x)) (cbrt.f64 (sqrt.f64 -1))))
(fma.f64 1/3 (/.f64 (pow.f64 -1 1/18) (/.f64 x (pow.f64 -1 1/18))) (fma.f64 1/3 (.f64 (/.f64 (cbrt.f64 -1) x) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) -1/3)) x)) (cbrt.f64 (sqrt.f64 -1))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) (/.f64 1 x))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (pow.f64 x 3)))) (pow.f64 (sqrt.f64 -1) 1/3))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18)) (/.f64 1 x)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))) (.f64 x x))) (fma.f64 -1/3 (/.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 2/3 (.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)))))) (pow.f64 x 3)) (cbrt.f64 (sqrt.f64 -1)))))
(fma.f64 1/3 (/.f64 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)) x) (fma.f64 1/3 (.f64 (/.f64 (cbrt.f64 -1) x) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) 1/3))) x)) (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 x 3)) (fma.f64 (cbrt.f64 -1) 1/27 (.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)))))) (cbrt.f64 (sqrt.f64 -1)))))
(fma.f64 1/3 (/.f64 (pow.f64 -1 1/18) (/.f64 x (pow.f64 -1 1/18))) (fma.f64 1/3 (.f64 (/.f64 (cbrt.f64 -1) x) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) -1/3)) x)) (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 x 3)) (fma.f64 (.f64 (.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) -1/3)) (*.f64 (cbrt.f64 -1) 1/27))) (cbrt.f64 (sqrt.f64 -1)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 -1) 1) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (sqrt.f64 -1)) (cbrt.f64 -1))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) (/.f64 (cbrt.f64 -1) x))) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) 1) 1/3) (cbrt.f64 -1)))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18)) (/.f64 (cbrt.f64 -1) x)) (*.f64 (cbrt.f64 (sqrt.f64 -1)) (cbrt.f64 -1)))
(fma.f64 (cbrt.f64 (sqrt.f64 -1)) (cbrt.f64 -1) (.f64 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)) (*.f64 (/.f64 (cbrt.f64 -1) x) -1/3)))
(fma.f64 -1/3 (.f64 (/.f64 (pow.f64 -1 1/18) (/.f64 x (pow.f64 -1 1/18))) (cbrt.f64 -1)) (.f64 (cbrt.f64 (sqrt.f64 -1)) (cbrt.f64 -1)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) (/.f64 (cbrt.f64 -1) x))) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 -1) 1) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))) (pow.f64 x 2))))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18)) (/.f64 (cbrt.f64 -1) x)) (fma.f64 (cbrt.f64 (sqrt.f64 -1)) (cbrt.f64 -1) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (/.f64 (cbrt.f64 -1) (/.f64 (.f64 x x) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))))))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)) (/.f64 (cbrt.f64 -1) x)) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (.f64 (/.f64 (cbrt.f64 -1) x) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) 1/3))) x))) (*.f64 (cbrt.f64 (sqrt.f64 -1)) (cbrt.f64 -1))))
(fma.f64 -1/3 (.f64 (/.f64 (pow.f64 -1 1/18) (/.f64 x (pow.f64 -1 1/18))) (cbrt.f64 -1)) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (.f64 (/.f64 (cbrt.f64 -1) x) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) -1/3)) x))) (.f64 (cbrt.f64 (sqrt.f64 -1)) (cbrt.f64 -1))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) (/.f64 (cbrt.f64 -1) x))) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 -1) 1) 1/3) (cbrt.f64 -1)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))))) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))) (pow.f64 x 2)))))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18)) (/.f64 (cbrt.f64 -1) x)) (fma.f64 (cbrt.f64 (sqrt.f64 -1)) (cbrt.f64 -1) (.f64 1/3 (+.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 2/3 (.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18))))) (cbrt.f64 -1))) (pow.f64 x 3)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (cbrt.f64 -1) (/.f64 (.f64 x x) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))))))))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)) (/.f64 (cbrt.f64 -1) x)) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (+.f64 (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 x 3)) (fma.f64 (cbrt.f64 -1) 1/27 (.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) 1/3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)))))) (.f64 (/.f64 (cbrt.f64 -1) x) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) 1/3))) x)))) (*.f64 (cbrt.f64 (sqrt.f64 -1)) (cbrt.f64 -1))))
(fma.f64 -1/3 (.f64 (/.f64 (pow.f64 -1 1/18) (/.f64 x (pow.f64 -1 1/18))) (cbrt.f64 -1)) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (+.f64 (.f64 (/.f64 (cbrt.f64 -1) x) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) -1/3)) x)) (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 x 3)) (fma.f64 (.f64 (.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) -1/3)) (.f64 (cbrt.f64 -1) 1/27))))) (.f64 (cbrt.f64 (sqrt.f64 -1)) (cbrt.f64 -1))))
(*.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3)))
(*.f64 3 (log.f64 (cbrt.f64 (sqrt.f64 -1))))
(*.f64 1 (log.f64 (sqrt.f64 -1)))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (/.f64 1 x)) (.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3))))
(fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) (/.f64 1 x) (.f64 3 (log.f64 (cbrt.f64 (sqrt.f64 -1)))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 -1))) (/.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) x))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 -1))) (/.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (/.f64 x (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18))))
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(.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) 2) (cbrt.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))))
(.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(pow.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 1)
(.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(pow.f64 (sqrt.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) 2)
(.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(pow.f64 (cbrt.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) 3)
(.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(pow.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 3) 1/3)
(.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(sqrt.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 2))
(fabs.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))))
(cbrt.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 3))
(.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(expm1.f64 (log1p.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))))
(.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(exp.f64 (log.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))))
(.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1))
(.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(log1p.f64 (-.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 1))
(log1p.f64 (+.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) -1))
(log1p.f64 (+.f64 -1 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))

eval1.0s (17.1%)

Compiler: Compiled 32352 to 24088 computations (25.5% saved)

prune251.0ms (4.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1239	3	1242
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	1242	5	1247

Error

Counts

1247 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
▶	0.6b	(neg.f64 (log.f64 (*.f64 x 1/2)))
▶	0.3b	(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))
✓	0.6b	(log.f64 (/.f64 2 x))

Compiler

Compiled 47 to 36 computations (23.4% saved)

localize14.0ms (0.2%)

Local error

Found 3 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))
✓	0.0b	(.f64 -1/2 (.f64 x x))

Compiler

Compiled 38 to 21 computations (44.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite77.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`*-commutative`
1016×	`associate-*r/`
788×	`associate-/r*`
762×	`associate-*l/`
630×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	67
1	234	59
2	2994	59

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (*.f64 x (*.f64 -1/2 x))) (*.f64 (/.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) 2) (*.f64 (/.f64 1 x) (*.f64 x (*.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 -1/2 x)) (/.f64 1 x)) (*.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 1 x)) (*.f64 (*.f64 x (*.f64 -1/2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -1/2 x) x 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)) (sqrt.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) 2) (/.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)) 2) (cbrt.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 (*.f64 -1/2 x) x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -2 (*.f64 x (*.f64 -1/2 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) x) (sqrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) x) (/.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) x) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) x) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (-.f64 -2 (*.f64 x (*.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) 2) x) (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)) 2))) (cbrt.f64 (fma.f64 (*.f64 -1/2 x) x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 (pow.f64 x 4) 1/4)) x) (-.f64 4 (*.f64 (pow.f64 x 4) 1/4))) (fma.f64 (*.f64 -1/2 x) x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 (pow.f64 x 4) 1/4)) x) (-.f64 8 (pow.f64 (*.f64 x (*.f64 -1/2 x)) 3))) (+.f64 4 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 8 (pow.f64 (*.f64 x (*.f64 -1/2 x)) 3)) x) (-.f64 16 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x x) -1)) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x x) -1))))) (+.f64 (-.f64 4 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 8 (pow.f64 (*.f64 x (*.f64 -1/2 x)) 3)) x) (+.f64 64 (pow.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x x) -1)) 3))) (-.f64 (+.f64 16 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x x) -1)) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x x) -1)))) (*.f64 4 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 (*.f64 -1/2 x) x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (*.f64 -1/2 x) x 2) x)))))))

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1012×	`associate-*r/`
908×	`*-commutative`
750×	`associate-/l*`
686×	`+-commutative`
672×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	5392
1	878	4700
2	3259	4652

Stop Event

1×	node limit

Counts

164 → 225

Calls

Call 1

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

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

localize9.0ms (0.1%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

localize23.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 58 to 34 computations (41.4% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`associate-*r/`
1016×	`*-commutative`
978×	`associate-*l/`
894×	`associate-/r*`
730×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	233	31
2	3165	31

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1432×	`associate-+l-`
1414×	`associate-r`
1096×	`associate-l`
842×	`associate-+r-`
622×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2937
1	465	2583
2	1537	2543
3	7090	2543

Stop Event

1×	node limit

Counts

61 → 106

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 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (log.f64 x))))
(+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 5/96 (pow.f64 x 6)) (log.f64 x)))))
(log.f64 (/.f64 1 (sqrt.f64 -1)))
(-.f64 (log.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(log.f64 (/.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (/.f64 -1 (sqrt.f64 -1))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (log.f64 (/.f64 -1 (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (/.f64 -1 (sqrt.f64 -1))))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 0)
(+.f64 0 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (log.f64 x) (log.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 x) (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (log.f64 (cbrt.f64 x)) (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (-.f64 (log.f64 (cbrt.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2)) (log.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2)))
(+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 x))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2))) (log.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(+.f64 (-.f64 (log.f64 x) (.f64 (log.f64 x) 2)) (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (log.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)
(-.f64 (+.f64 0 (log.f64 (neg.f64 x))) (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) 1)
(-.f64 (-.f64 (log.f64 x) 0) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (-.f64 (log.f64 x) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(-.f64 (-.f64 (log.f64 x) (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)))) (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))))
(.f64 1 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 1)
(.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3)) (+.f64 (+.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(/.f64 (.f64 1 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(/.f64 (.f64 1 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3))) (+.f64 (+.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))))
(/.f64 (.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 1) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3)) 1) (+.f64 (+.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))))
(pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (log.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(log1p.f64 (-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1))

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 (log.f64 1/2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (log.f64 x))))
(fma.f64 3/32 (pow.f64 x 4) (fma.f64 1/4 (*.f64 x x) (+.f64 (log.f64 1/2) (log.f64 x))))
(fma.f64 3/32 (pow.f64 x 4) (+.f64 (log.f64 x) (fma.f64 1/4 (*.f64 x x) (log.f64 1/2))))
(fma.f64 3/32 (pow.f64 x 4) (+.f64 (log.f64 1/2) (fma.f64 x (*.f64 x 1/4) (log.f64 x))))
(+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 5/96 (pow.f64 x 6)) (log.f64 x)))))
(fma.f64 3/32 (pow.f64 x 4) (fma.f64 1/4 (*.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 5/96 (pow.f64 x 6) (log.f64 x)))))
(fma.f64 3/32 (pow.f64 x 4) (+.f64 (fma.f64 5/96 (pow.f64 x 6) (log.f64 x)) (fma.f64 1/4 (*.f64 x x) (log.f64 1/2))))
(+.f64 (fma.f64 5/96 (pow.f64 x 6) (log.f64 x)) (fma.f64 3/32 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/4) (log.f64 1/2))))
(log.f64 (/.f64 1 (sqrt.f64 -1)))
(neg.f64 (log.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (neg.f64 (log.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (neg.f64 (log.f64 (sqrt.f64 -1))) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(-.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (log.f64 (/.f64 1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (neg.f64 (log.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(+.f64 (neg.f64 (log.f64 (sqrt.f64 -1))) (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (/.f64 -1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(-.f64 (+.f64 (neg.f64 (log.f64 (sqrt.f64 -1))) (/.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(+.f64 (-.f64 (/.f64 1/6 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (log.f64 (sqrt.f64 -1))) (-.f64 (/.f64 -1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(+.f64 (/.f64 -1/6 (.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (-.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (log.f64 (sqrt.f64 -1))) (/.f64 -3/40 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(log.f64 (/.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (/.f64 -1 (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (log.f64 (/.f64 -1 (sqrt.f64 -1))))
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (log.f64 (/.f64 -1 (sqrt.f64 -1))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (log.f64 (/.f64 -1 (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (log.f64 (/.f64 -1 (sqrt.f64 -1)))) (/.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))
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(-.f64 0 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (+.f64 0 (log.f64 (neg.f64 x))) (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) 1)
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (-.f64 (log.f64 x) 0) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (-.f64 (log.f64 x) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
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(-.f64 (log.f64 x) (.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
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(-.f64 (-.f64 (log.f64 x) (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)))) (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))))
(-.f64 (log.f64 x) (+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)))))
(-.f64 (log.f64 x) (.f64 2 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)))))
(+.f64 (log.f64 x) (.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) -2))
(.f64 1 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 1)
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
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(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3)) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
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(pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (log.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log1p.f64 (-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1))
(log1p.f64 (+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1))
(log1p.f64 (+.f64 -1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))

eval197.0ms (3.3%)

Compiler: Compiled 11136 to 7956 computations (28.6% saved)

prune84.0ms (1.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	532	1	533
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	532	6	538

Error

Counts

538 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(neg.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
✓	0.0b	(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
✓	0.6b	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	0.3b	(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))
✓	0.6b	(log.f64 (/.f64 2 x))

Compiler

Compiled 59 to 45 computations (23.7% saved)

localize20.0ms (0.3%)

Local error

Found 3 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)))))
	0.0b	(.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
1.0ms	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	@	0	(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))))

rewrite74.0ms (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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((#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 (*.f64 x -1/2) x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x -1/2) x 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 (*.f64 x -1/2) x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 (*.f64 x -1/2) x 2))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x -1/2) x 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 (*.f64 x -1/2) x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 (*.f64 x -1/2) x 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 (*.f64 x -1/2) x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 (*.f64 x -1/2) x 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 (*.f64 x -1/2) x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x -1/2) x 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (fma.f64 (*.f64 x -1/2) x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 (*.f64 x -1/2) x 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 (*.f64 1/4 (pow.f64 x 4)) 4)) (-.f64 (*.f64 x (*.f64 x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (fma.f64 (*.f64 x -1/2) x 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) (-.f64 (*.f64 1/4 (pow.f64 x 4)) 4)) (-.f64 (*.f64 x (*.f64 x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x -1/2) x 2))) (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 (fma.f64 (*.f64 x -1/2) x 2))) (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 (fma.f64 (*.f64 x -1/2) x 2)) 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 (fma.f64 (*.f64 x -1/2) x 2)) 2)) (cbrt.f64 (+.f64 4 (*.f64 -1/4 (pow.f64 x 4))))) (cbrt.f64 (+.f64 2 (*.f64 x (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x -1/2) x 2) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2)))))))) (#(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 (fma.f64 (*.f64 x -1/2) x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) x 2))))))))

simplify92.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1690×	`associate-/l*`
1430×	`associate-*r/`
1042×	`associate-/r*`
952×	`*-commutative`
852×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	395	6018
1	1020	5598
2	3542	5598

Stop Event

1×	node limit

Counts

154 → 239

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

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

eval90.0ms (1.5%)

Compiler: Compiled 4855 to 3569 computations (26.5% saved)

prune37.0ms (0.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	253	6	259

Error

Counts

259 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(neg.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
✓	0.0b	(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
✓	0.6b	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	0.3b	(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))
✓	0.6b	(log.f64 (/.f64 2 x))

Compiler

Compiled 59 to 45 computations (23.7% saved)

regimes19.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
6.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
4.0ms	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 135 to 90 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.0b	1	`x`

Compiler

Compiled 54 to 38 computations (29.6% saved)

regimes4.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.3b	1	`x`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes4.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(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
0.3b	1	`x`

Compiler

Compiled 32 to 24 computations (25% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(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
0.3b	1	`x`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.6%)

Threshold costs -0.0b (-0.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
20×	`*-commutative`
10×	`sub-neg`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	187
1	55	187
2	68	187
3	75	187
4	77	187

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 70 to 54 computations (22.9% saved)

soundness80.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

956×	`associate-r`
746×	`associate-l`
700×	`associate-/r*`
578×	`*-commutative`
516×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	804	19127
1	2146	17821

Stop Event

1×	node limit

Compiler

Compiled 193 to 131 computations (32.1% saved)

end46.0ms (0.8%)

Compiler: Compiled 64 to 45 computations (29.7% saved)

Details

analyze4.0ms (0.1%)

sample1.2s (20.1%)

preprocess139.0ms (2.3%)

simplify142.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (0.3%)

series5.0ms (0.1%)

rewrite127.0ms (2.1%)

simplify142.0ms (2.4%)

eval396.0ms (6.7%)

prune287.0ms (4.8%)

localize17.0ms (0.3%)

series1.0ms (0%)

rewrite76.0ms (1.3%)

simplify93.0ms (1.6%)

localize7.0ms (0.1%)

series41.0ms (0.7%)

rewrite52.0ms (0.9%)

simplify59.0ms (1%)

localize15.0ms (0.2%)

series2.0ms (0%)

rewrite84.0ms (1.4%)

simplify119.0ms (2%)

localize22.0ms (0.4%)

series32.0ms (0.5%)

rewrite87.0ms (1.5%)

simplify129.0ms (2.2%)

localize31.0ms (0.5%)

series6.0ms (0.1%)

rewrite93.0ms (1.6%)

simplify121.0ms (2%)

eval1.0s (17.1%)

prune251.0ms (4.2%)

localize14.0ms (0.2%)

series2.0ms (0%)

rewrite77.0ms (1.3%)

simplify84.0ms (1.4%)

localize9.0ms (0.1%)

localize23.0ms (0.4%)

series3.0ms (0%)

rewrite67.0ms (1.1%)

simplify78.0ms (1.3%)

eval197.0ms (3.3%)

prune84.0ms (1.4%)

localize20.0ms (0.3%)

series2.0ms (0%)

rewrite74.0ms (1.2%)

simplify92.0ms (1.5%)

eval90.0ms (1.5%)

prune37.0ms (0.6%)

regimes19.0ms (0.3%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

simplify8.0ms (0.1%)

soundness80.0ms (1.4%)

end46.0ms (0.8%)

Profiling