Details

analyze5.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.0s (57.4%)

Results

987.0ms	8256×	body	128	valid
1.0ms	5×	body	128	invalid

Compiler

Compiled 30 to 22 computations (26.7% saved)

preprocess39.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

492×	`fma-neg_binary64`
454×	`unsub-neg_binary64`
411×	`distribute-rgt-in_binary64`
374×	`fma-def_binary64`
353×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	25	20
3	36	20
4	53	20
5	81	20
6	128	20
7	323	20
8	664	20
9	1447	20
10	2776	20
11	4161	20
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 14 to 10 computations (28.6% saved)

simplify56.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

492×	`fma-neg_binary64`
454×	`unsub-neg_binary64`
411×	`distribute-rgt-in_binary64`
374×	`fma-def_binary64`
353×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	25	20
3	36	20
4	53	20
5	81	20
6	128	20
7	323	20
8	664	20
9	1447	20
10	2776	20
11	4161	20

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)))

prune2.0ms (0.1%)

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

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

Compiler

Compiled 42 to 30 computations (28.6% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series40.0ms (2.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	x	@	-inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
3.0ms	x	@	inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
2.0ms	x	@	-inf	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
2.0ms	x	@	inf	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
1.0ms	x	@	-inf	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

rewrite71.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

399×	`fma-def_binary64`
203×	`fma-neg_binary64`
189×	`expm1-udef_binary64`
188×	`log1p-udef_binary64`
182×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	59
1	225	59
2	3285	59

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

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

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

simplify50.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

839×	`fma-neg_binary64`
355×	`fma-def_binary64`
337×	`associate-/r*_binary64`
247×	`cancel-sign-sub-inv_binary64`
193×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1040
1	377	1004
2	1191	976
3	4658	973

Stop Event

1×	node limit

Counts

241 → 277

Calls

Call 1

Inputs
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 1/2 x))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 1/2 x) (*.f64 1/8 (pow.f64 x 3))))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 1/16 (pow.f64 x 5)) (+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 x 3)))))
(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) (sqrt.f64 -1))
(-.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (/.f64 1 x)) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
1
(-.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))))
(-.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(*.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 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 (sqrt.f64 -1) x) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 (sqrt.f64 -1) x) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 x))
(-.f64 (/.f64 1 x) (+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 x 3))))
(-.f64 (/.f64 1 x) (+.f64 (.f64 1/16 (pow.f64 x 5)) (+.f64 (.f64 1/2 x) (*.f64 1/8 (pow.f64 x 3)))))
(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))
(neg.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (+.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 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (+.f64 (log.f64 x) (*.f64 1/4 (pow.f64 x 2))))
(-.f64 (log.f64 2) (+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 x) (.f64 1/4 (pow.f64 x 2)))))
(-.f64 (log.f64 2) (+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 5/96 (pow.f64 x 6)) (+.f64 (log.f64 x) (*.f64 1/4 (pow.f64 x 2))))))
(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 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (sqrt.f64 -1)))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))

Outputs
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 1/2 x))
(+.f64 (/.f64 2 x) (*.f64 -1/2 x))
(+.f64 (/.f64 2 x) (*.f64 x -1/2))
(fma.f64 x -1/2 (/.f64 2 x))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 1/2 x) (*.f64 1/8 (pow.f64 x 3))))
(-.f64 (/.f64 2 x) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 3))))
(-.f64 (/.f64 2 x) (fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (fma.f64 x -1/2 (*.f64 (pow.f64 x 3) -1/8)))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 1/16 (pow.f64 x 5)) (+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 x 3)))))
(-.f64 (/.f64 2 x) (fma.f64 1/16 (pow.f64 x 5) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 3)))))
(-.f64 (/.f64 2 x) (fma.f64 1/16 (pow.f64 x 5) (fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 3)))))
(-.f64 (/.f64 2 x) (fma.f64 x 1/2 (fma.f64 1/8 (pow.f64 x 3) (*.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 2 x) (fma.f64 (pow.f64 x 5) -1/16 (fma.f64 x -1/2 (*.f64 (pow.f64 x 3) -1/8))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1))))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.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 1 x) (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1/2 x) (.f64 x (sqrt.f64 -1))) (/.f64 1/8 (.f64 (sqrt.f64 -1) (pow.f64 x 4))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (/.f64 1 x)) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))) (-.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) (/.f64 1 x)) (-.f64 (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (/.f64 -1/8 (.f64 (sqrt.f64 -1) (pow.f64 x 4))) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1/2 (.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))))
1
(-.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(-.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))))
(-.f64 1 (fma.f64 1/8 (pow.f64 x 4) (.f64 1/2 (.f64 x x))))
(-.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 1/8 (pow.f64 x 4))))
(+.f64 (.f64 (pow.f64 x 4) -1/8) (fma.f64 (.f64 x x) -1/2 1))
(-.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 1 (fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 6) (.f64 1/2 (.f64 x x)))))
(-.f64 1 (fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (.f64 x x) (.f64 1/16 (pow.f64 x 6)))))
(-.f64 1 (fma.f64 x (.f64 x 1/2) (fma.f64 1/8 (pow.f64 x 4) (.f64 1/16 (pow.f64 x 6)))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (.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))))
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 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 1/2 (.f64 x (sqrt.f64 -1))) (-.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 (sqrt.f64 -1) x) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (-.f64 (fma.f64 (sqrt.f64 -1) x (/.f64 1/16 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(neg.f64 (+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))))
(-.f64 (/.f64 -1/2 (.f64 x (sqrt.f64 -1))) (.f64 x (sqrt.f64 -1)))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (/.f64 -1/8 (.f64 (pow.f64 x 3) (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 (sqrt.f64 -1) x) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (fma.f64 (sqrt.f64 -1) x (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1/2 (.f64 x (sqrt.f64 -1)))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (-.f64 (/.f64 -1/8 (.f64 (pow.f64 x 3) (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))) (/.f64 -1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 x))
(+.f64 (/.f64 1 x) (*.f64 -1/2 x))
(+.f64 (/.f64 1 x) (*.f64 x -1/2))
(fma.f64 x -1/2 (/.f64 1 x))
(-.f64 (/.f64 1 x) (+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 x 3))))
(-.f64 (/.f64 1 x) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 3))))
(-.f64 (/.f64 1 x) (fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (fma.f64 x -1/2 (*.f64 (pow.f64 x 3) -1/8)))
(-.f64 (/.f64 1 x) (+.f64 (.f64 1/16 (pow.f64 x 5)) (+.f64 (.f64 1/2 x) (*.f64 1/8 (pow.f64 x 3)))))
(-.f64 (/.f64 1 x) (fma.f64 1/16 (pow.f64 x 5) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 3)))))
(-.f64 (/.f64 1 x) (fma.f64 1/16 (pow.f64 x 5) (fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 3)))))
(-.f64 (/.f64 1 x) (fma.f64 x 1/2 (fma.f64 1/8 (pow.f64 x 3) (*.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1 x) (fma.f64 (pow.f64 x 5) -1/16 (fma.f64 x -1/2 (*.f64 (pow.f64 x 3) -1/8))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1/2 x) (.f64 x (sqrt.f64 -1))) (/.f64 1/8 (.f64 (sqrt.f64 -1) (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 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/16 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (-.f64 (/.f64 1/16 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1/8 (.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))))))
(+.f64 (/.f64 (/.f64 1/2 x) (.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 6)) (+.f64 (sqrt.f64 -1) (/.f64 1/8 (.f64 (sqrt.f64 -1) (pow.f64 x 4))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(neg.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(neg.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(-.f64 (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) (-.f64 (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (/.f64 -1/8 (.f64 (sqrt.f64 -1) (pow.f64 x 4))) (-.f64 (/.f64 -1/2 (.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (+.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 (-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))) (sqrt.f64 -1)) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/16 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))
(-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) (-.f64 (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))
(-.f64 (-.f64 (+.f64 (/.f64 -1/8 (.f64 (sqrt.f64 -1) (pow.f64 x 4))) (/.f64 -1/2 (.f64 x (*.f64 x (sqrt.f64 -1))))) (/.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 6))) (sqrt.f64 -1))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (+.f64 (log.f64 x) (*.f64 1/4 (pow.f64 x 2))))
(-.f64 (log.f64 2) (+.f64 (log.f64 x) (.f64 (.f64 x x) 1/4)))
(-.f64 (log.f64 2) (fma.f64 (*.f64 x x) 1/4 (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(-.f64 (log.f64 2) (+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 x) (.f64 1/4 (pow.f64 x 2)))))
(-.f64 (log.f64 2) (fma.f64 3/32 (pow.f64 x 4) (+.f64 (log.f64 x) (.f64 (.f64 x x) 1/4))))
(-.f64 (log.f64 2) (fma.f64 (pow.f64 x 4) 3/32 (fma.f64 (*.f64 x x) 1/4 (log.f64 x))))
(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (fma.f64 (pow.f64 x 4) 3/32 (log.f64 x))))
(-.f64 (log.f64 2) (+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 5/96 (pow.f64 x 6)) (+.f64 (log.f64 x) (*.f64 1/4 (pow.f64 x 2))))))
(-.f64 (log.f64 2) (fma.f64 3/32 (pow.f64 x 4) (fma.f64 5/96 (pow.f64 x 6) (+.f64 (log.f64 x) (.f64 (.f64 x x) 1/4)))))
(-.f64 (log.f64 2) (fma.f64 (pow.f64 x 4) 3/32 (fma.f64 (pow.f64 x 6) 5/96 (fma.f64 (*.f64 x x) 1/4 (log.f64 x)))))
(-.f64 (log.f64 2) (fma.f64 (pow.f64 x 4) 3/32 (fma.f64 x (*.f64 x 1/4) (fma.f64 (pow.f64 x 6) 5/96 (log.f64 x)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (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 1 (.f64 x (sqrt.f64 -1))) (-.f64 (log.f64 (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 (/.f64 1/6 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 -1/6 (.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(-.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 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (-.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 1/6 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 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) (sqrt.f64 -1))))))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (neg.f64 (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))))
(fma.f64 3 (log.f64 (sqrt.f64 -1)) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(fma.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) 1/6 (-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 -1/6 (.f64 (pow.f64 x 3) (sqrt.f64 -1))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 -1/6 (.f64 (pow.f64 x 3) (sqrt.f64 -1))) (fma.f64 3 (log.f64 (sqrt.f64 -1)) (/.f64 -1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (sqrt.f64 -1)))) (+.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 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 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 (fma.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) 1/6 (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 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (+.f64 (/.f64 -1/6 (.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 -1 (.f64 x (sqrt.f64 -1)))) (/.f64 -3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (/.f64 -1/6 (.f64 (pow.f64 x 3) (sqrt.f64 -1))) (+.f64 (/.f64 -1 (.f64 x (sqrt.f64 -1))) (fma.f64 3 (log.f64 (sqrt.f64 -1)) (/.f64 -3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))

prune230.0ms (13.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	276	1	277
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	276	2	278

Error

Counts

278 → 2

Alt Table

Status	Error	Program
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	0.3b	(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))

Compiler

Compiled 5627 to 3886 computations (30.9% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (*.f64 x 1/4) (log.f64 x))
✓	0.2b	(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))

series18.0ms (1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
3.0ms	x	@	0	(fma.f64 x (*.f64 x 1/4) (log.f64 x))
3.0ms	x	@	-inf	(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
3.0ms	x	@	inf	(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
2.0ms	x	@	-inf	(fma.f64 x (*.f64 x 1/4) (log.f64 x))

rewrite46.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`
91×	`add-exp-log_binary64`
91×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	189	25
2	2324	25

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

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

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

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

simplify25.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

679×	`fma-neg_binary64`
447×	`cancel-sign-sub-inv_binary64`
278×	`associate--r-_binary64`
277×	`associate-l_binary64`
263×	`associate-+l-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	300
1	65	264
2	162	264
3	536	264
4	1731	264

Stop Event

1×	node limit

Counts

84 → 74

Calls

Call 1

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

Outputs
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (+.f64 (log.f64 x) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 (.f64 x x) -1/4))
(-.f64 (log.f64 2) (fma.f64 1/4 (*.f64 x x) (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(-.f64 (log.f64 2) (+.f64 (log.f64 x) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 (.f64 x x) -1/4))
(-.f64 (log.f64 2) (fma.f64 1/4 (*.f64 x x) (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(-.f64 (log.f64 2) (+.f64 (log.f64 x) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 (.f64 x x) -1/4))
(-.f64 (log.f64 2) (fma.f64 1/4 (*.f64 x x) (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 (.f64 x x) -1/4)
(.f64 x (.f64 x -1/4))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 (.f64 x x) -1/4))
(-.f64 (log.f64 2) (fma.f64 1/4 (*.f64 x x) (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 (.f64 x x) -1/4))
(-.f64 (log.f64 2) (fma.f64 1/4 (*.f64 x x) (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 (.f64 x x) -1/4))
(-.f64 (log.f64 2) (fma.f64 1/4 (*.f64 x x) (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 (.f64 x x) -1/4)
(.f64 x (.f64 x -1/4))
(-.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 (.f64 x x) -1/4))
(-.f64 (log.f64 2) (fma.f64 1/4 (*.f64 x x) (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(-.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 (.f64 x x) -1/4))
(-.f64 (log.f64 2) (fma.f64 1/4 (*.f64 x x) (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(-.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 (.f64 x x) -1/4))
(-.f64 (log.f64 2) (fma.f64 1/4 (*.f64 x x) (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(log.f64 x)
(+.f64 (log.f64 x) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (log.f64 x) (.f64 1/4 (.f64 x x)))
(fma.f64 1/4 (*.f64 x x) (log.f64 x))
(fma.f64 x (*.f64 x 1/4) (log.f64 x))
(+.f64 (log.f64 x) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (log.f64 x) (.f64 1/4 (.f64 x x)))
(fma.f64 1/4 (*.f64 x x) (log.f64 x))
(fma.f64 x (*.f64 x 1/4) (log.f64 x))
(+.f64 (log.f64 x) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (log.f64 x) (.f64 1/4 (.f64 x x)))
(fma.f64 1/4 (*.f64 x x) (log.f64 x))
(fma.f64 x (*.f64 x 1/4) (log.f64 x))
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(.f64 x (.f64 x 1/4))
(-.f64 (*.f64 1/4 (pow.f64 x 2)) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 x) (.f64 1/4 (.f64 x x)))
(fma.f64 1/4 (*.f64 x x) (log.f64 x))
(fma.f64 x (*.f64 x 1/4) (log.f64 x))
(-.f64 (*.f64 1/4 (pow.f64 x 2)) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 x) (.f64 1/4 (.f64 x x)))
(fma.f64 1/4 (*.f64 x x) (log.f64 x))
(fma.f64 x (*.f64 x 1/4) (log.f64 x))
(-.f64 (*.f64 1/4 (pow.f64 x 2)) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 x) (.f64 1/4 (.f64 x x)))
(fma.f64 1/4 (*.f64 x x) (log.f64 x))
(fma.f64 x (*.f64 x 1/4) (log.f64 x))
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(.f64 x (.f64 x 1/4))
(-.f64 (+.f64 (log.f64 -1) (*.f64 1/4 (pow.f64 x 2))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 x) (.f64 1/4 (.f64 x x)))
(fma.f64 1/4 (*.f64 x x) (log.f64 x))
(fma.f64 x (*.f64 x 1/4) (log.f64 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 1/4 (pow.f64 x 2))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 x) (.f64 1/4 (.f64 x x)))
(fma.f64 1/4 (*.f64 x x) (log.f64 x))
(fma.f64 x (*.f64 x 1/4) (log.f64 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 1/4 (pow.f64 x 2))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 x) (.f64 1/4 (.f64 x x)))
(fma.f64 1/4 (*.f64 x x) (log.f64 x))
(fma.f64 x (*.f64 x 1/4) (log.f64 x))

prune47.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	74	2	76

Error

Counts

76 → 2

Alt Table

Status	Error	Program
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	0.3b	(-.f64 (log.f64 2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))

Compiler

Compiled 1326 to 906 computations (31.7% saved)

regimes50.0ms (2.8%)

Accuracy

Total 0.0b remaining (88.7%)

Threshold costs 0.0b (88.7%)

Counts

14 → 1

Compiler

Compiled 514 to 391 computations (23.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	25	20
3	29	20
4	31	20

Stop Event

1×

saturated

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)))

end49.0ms (2.8%)

Stop Event

1×

done

Compiler

Compiled 53 to 38 computations (28.3% saved)

Details

analyze5.0ms (0.3%)

sample1.0s (57.4%)

preprocess39.0ms (2.2%)

simplify56.0ms (3.2%)

prune2.0ms (0.1%)

localize8.0ms (0.5%)

series40.0ms (2.3%)

rewrite71.0ms (4.1%)

simplify50.0ms (2.9%)

prune230.0ms (13.1%)

localize8.0ms (0.5%)

series18.0ms (1%)

rewrite46.0ms (2.6%)

simplify25.0ms (1.4%)

prune47.0ms (2.7%)

regimes50.0ms (2.8%)

simplify2.0ms (0.1%)

end49.0ms (2.8%)

Profiling