Details

analyze4.0ms (0.2%)

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample987.0ms (35.2%)

Results

971.0ms	8253×	body	64	valid
3.0ms	25×	body	64	invalid
1.0ms	3×	body	128	valid

preprocess97.0ms (3.4%)

Algorithm

2×	egg-herbie

Rules

597×	`unsub-neg_binary64`
579×	`distribute-rgt-out--_binary64`
492×	`fma-neg_binary64`
435×	`distribute-neg-in_binary64`
411×	`distribute-rgt-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
12	5093	20
13	5405	20
14	5708	20
15	5804	20
16	5882	20
17	6150	20
18	7096	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)

simplify89.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

597×	`unsub-neg_binary64`
579×	`distribute-rgt-out--_binary64`
492×	`fma-neg_binary64`
435×	`distribute-neg-in_binary64`
411×	`distribute-rgt-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
12	5093	20
13	5405	20
14	5708	20
15	5804	20
16	5882	20
17	6150	20
18	7096	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

0.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.3b	(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 (0.3%)

Local error

Found 3 expressions with local error:

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

series7.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

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

rewrite66.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary64`
399×	`fma-def_binary64`
365×	`pow-prod-down_binary64`
282×	`pow2_binary64`
203×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	225	41
2	3285	39

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

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

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

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(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1))))))

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

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

simplify46.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

670×	`times-frac_binary64`
519×	`fma-neg_binary64`
514×	`cancel-sign-sub-inv_binary64`
390×	`fma-def_binary64`
355×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	841
1	331	804
2	1024	775
3	3825	757

Stop Event

1×	node limit

Counts

166 → 198

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))))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.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)))))

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

prune438.0ms (15.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	197	2	199

Error

Counts

199 → 2

Alt Table

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

Compiler

Compiled 3989 to 2774 computations (30.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series10.0ms (0.3%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
2.0ms	x	@	-inf	(/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)
1.0ms	x	@	-inf	(log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
1.0ms	x	@	inf	(/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)
1.0ms	x	@	0	(log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))

rewrite76.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

464×	`log-prod_binary64`
341×	`exp-prod_binary64`
305×	`pow-prod-down_binary64`
259×	`prod-diff_binary64`
253×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	209	53
2	2631	53

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Inputs

(/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)

(log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))

(sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

Outputs
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Outputs

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(log.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 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x))) x) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1) 1))))))

simplify57.0ms (2%)

Algorithm

1×	egg-herbie

Rules

659×	`fma-neg_binary64`
639×	`unswap-sqr_binary64`
460×	`associate-/r*_binary64`
442×	`fma-def_binary64`
363×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1173
1	381	1107
2	1291	886
3	5712	667

Stop Event

1×	node limit

Counts

201 → 220

Calls

Call 1

Inputs
(sqrt.f64 (sqrt.f64 -1))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x))) (sqrt.f64 (sqrt.f64 -1)))
(+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x))) (sqrt.f64 (sqrt.f64 -1))))
(+.f64 (.f64 -1/4 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x))) (sqrt.f64 (sqrt.f64 -1)))))
(.f64 -1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))))
(-.f64 (.f64 -1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (*.f64 -1 (sqrt.f64 -1))) x))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) (pow.f64 x 2))))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) x))))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) (pow.f64 x 2)))))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (*.f64 -1 (sqrt.f64 -1))) x))))
(log.f64 (sqrt.f64 (sqrt.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (log.f64 (sqrt.f64 (sqrt.f64 -1))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (log.f64 (sqrt.f64 (sqrt.f64 -1))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (log.f64 (sqrt.f64 (sqrt.f64 -1)))))
(log.f64 (.f64 -1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 2) x))) (log.f64 (.f64 -1 (sqrt.f64 (*.f64 -1 (sqrt.f64 -1))))))
(+.f64 (log.f64 (.f64 -1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 4)))) (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 2) x)))))
(+.f64 (log.f64 (.f64 -1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))))) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (.f64 -3 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 4))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 6)))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 4)))) (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (*.f64 -1 (sqrt.f64 -1))) 2) x))))))
(*.f64 (sqrt.f64 (sqrt.f64 -1)) x)
(+.f64 (.f64 (sqrt.f64 (sqrt.f64 -1)) x) (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) x) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (sqrt.f64 -1)) x) (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (.f64 -1/4 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) x) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (sqrt.f64 -1)) x) (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 -1 (sqrt.f64 -1))) x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) x)) (.f64 1/2 (/.f64 1 (sqrt.f64 (*.f64 -1 (sqrt.f64 -1))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) x))) (.f64 -1 (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) x))) (.f64 1/2 (/.f64 1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) x))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 3) (pow.f64 x 2)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) x)))) (.f64 1/2 (/.f64 1 (sqrt.f64 (*.f64 -1 (sqrt.f64 -1))))))

Outputs
(sqrt.f64 (sqrt.f64 -1))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x))) (sqrt.f64 (sqrt.f64 -1)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x)) (sqrt.f64 (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) x) (sqrt.f64 (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1/2 x) (sqrt.f64 (sqrt.f64 -1)))
(+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x))) (sqrt.f64 (sqrt.f64 -1))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (.f64 x x))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x)) (sqrt.f64 (sqrt.f64 -1))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 x x))) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) x) (sqrt.f64 (sqrt.f64 -1))))
(fma.f64 1/2 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 1/4 (sqrt.f64 -1))) x) 1) (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) x)) (sqrt.f64 (sqrt.f64 -1)))
(fma.f64 1/2 (*.f64 (+.f64 (/.f64 (/.f64 1/4 (sqrt.f64 -1)) x) 1) (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) x)) (sqrt.f64 (sqrt.f64 -1)))
(+.f64 (.f64 -1/4 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x))) (sqrt.f64 (sqrt.f64 -1)))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (.f64 x x))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x)) (sqrt.f64 (sqrt.f64 -1)))))
(fma.f64 -1/4 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (/.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (.f64 x x))) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) x) (sqrt.f64 (sqrt.f64 -1)))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 1/4 (sqrt.f64 -1))) (pow.f64 x 3)) (sqrt.f64 (/.f64 -1 (sqrt.f64 -1)))) (fma.f64 1/2 (.f64 (+.f64 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 1/4 (sqrt.f64 -1))) x) 1) (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) x)) (sqrt.f64 (sqrt.f64 -1))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) (/.f64 (/.f64 1/4 (sqrt.f64 -1)) (pow.f64 x 3))) (fma.f64 1/2 (.f64 (+.f64 (/.f64 (/.f64 1/4 (sqrt.f64 -1)) x) 1) (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) x)) (sqrt.f64 (sqrt.f64 -1))))
(.f64 -1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))))
(neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))
(neg.f64 (pow.f64 (sqrt.f64 -1) 3/2))
(-.f64 (.f64 -1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (*.f64 -1 (sqrt.f64 -1))) x))))
(-.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(fma.f64 -1 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(-.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) x) (sqrt.f64 (neg.f64 (sqrt.f64 -1))))
(-.f64 (/.f64 (/.f64 -1/2 x) (pow.f64 (sqrt.f64 -1) 3/2)) (pow.f64 (sqrt.f64 -1) 3/2))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) (pow.f64 x 2))))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) x))))
(-.f64 (fma.f64 -1 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) (.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (.f64 (.f64 x x) (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))) (/.f64 1/2 (.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(fma.f64 -1 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (.f64 x (.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))) (/.f64 -1/2 (*.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))))
(+.f64 (/.f64 (/.f64 (fma.f64 1/2 (/.f64 -1/4 (sqrt.f64 -1)) (/.f64 1/4 (sqrt.f64 -1))) (*.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) x) (-.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) x) (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))
(-.f64 (fma.f64 1/2 (/.f64 (/.f64 -1/4 (pow.f64 (pow.f64 (sqrt.f64 -1) 3/2) 3)) (*.f64 x x)) (/.f64 (/.f64 -1/2 x) (pow.f64 (sqrt.f64 -1) 3/2))) (pow.f64 (sqrt.f64 -1) 3/2))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) (pow.f64 x 2)))))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (*.f64 -1 (sqrt.f64 -1))) x))))
(-.f64 (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 3))) (fma.f64 -1 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) (.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (.f64 (.f64 x x) (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))))) (/.f64 1/2 (*.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 3))) (fma.f64 -1 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (.f64 x (.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))) (/.f64 -1/2 (.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))))
(+.f64 (/.f64 (/.f64 (fma.f64 1/2 (/.f64 -1/4 (sqrt.f64 -1)) (/.f64 1/4 (sqrt.f64 -1))) (.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) x) (+.f64 (-.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) x) (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 (fma.f64 -1/4 (/.f64 -1/4 (sqrt.f64 -1)) (/.f64 -1/8 (sqrt.f64 -1))) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 -1/4 (pow.f64 (pow.f64 (sqrt.f64 -1) 3/2) 3)) (*.f64 x x)) (-.f64 (/.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -1) 3/2)) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 3/2))) (/.f64 (/.f64 -1/2 x) (pow.f64 (sqrt.f64 -1) 3/2)))
(log.f64 (sqrt.f64 (sqrt.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (log.f64 (sqrt.f64 (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (log.f64 (sqrt.f64 (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (log.f64 (sqrt.f64 (sqrt.f64 -1)))))
(fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 3)) (.f64 -3 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3)) (+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) x))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (fma.f64 1/6 (/.f64 (fma.f64 -3 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) -1) (/.f64 -1/4 (sqrt.f64 -1))) (pow.f64 x 3)) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (fma.f64 1/6 (/.f64 (fma.f64 -3 (-.f64 (/.f64 -1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))) (/.f64 -1/4 (sqrt.f64 -1))) (pow.f64 x 3)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) x))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (fma.f64 1/6 (/.f64 (-.f64 (/.f64 3/4 (sqrt.f64 -1)) (/.f64 1/4 (sqrt.f64 -1))) (pow.f64 x 3)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) x))))
(log.f64 (.f64 -1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))))
(log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))
(log.f64 (neg.f64 (pow.f64 (sqrt.f64 -1) 3/2)))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 2) x))) (log.f64 (.f64 -1 (sqrt.f64 (*.f64 -1 (sqrt.f64 -1))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) (/.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 2))))
(fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 (neg.f64 (pow.f64 (sqrt.f64 -1) 3/2))) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) x))
(+.f64 (log.f64 (.f64 -1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 4)))) (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 2) x)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 2))) (/.f64 1/4 (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 4))) (.f64 x x)) (/.f64 1/2 (.f64 x (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 2)))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (neg.f64 (sqrt.f64 -1))) (/.f64 -1/4 (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 4))) (*.f64 x x))) (log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) (+.f64 (/.f64 -1/2 (.f64 (sqrt.f64 -1) x)) (/.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 -1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))) (neg.f64 (sqrt.f64 -1))) 1/8) (.f64 x x))))
(+.f64 (log.f64 (neg.f64 (pow.f64 (sqrt.f64 -1) 3/2))) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) x) 0))
(+.f64 (log.f64 (.f64 -1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))))) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (.f64 -3 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 4))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 6)))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 2))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 4)))) (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (*.f64 -1 (sqrt.f64 -1))) 2) x))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) (fma.f64 -1/6 (/.f64 (fma.f64 -3 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 4)) (neg.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 6)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 2))) (/.f64 1/4 (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 4))) (.f64 x x)) (/.f64 1/2 (.f64 x (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 2))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) (fma.f64 1/2 (+.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (neg.f64 (sqrt.f64 -1))) (/.f64 -1/4 (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 4))) (*.f64 x x))) (/.f64 -1/6 (/.f64 (pow.f64 x 3) (fma.f64 -3 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 4)) (/.f64 -1/4 (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 6)))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) (+.f64 (/.f64 -1/2 (.f64 (sqrt.f64 -1) x)) (fma.f64 -1/6 (/.f64 (+.f64 (/.f64 -1/4 (sqrt.f64 -1)) (.f64 3 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))))) (pow.f64 x 3)) (/.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 -1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))) (neg.f64 (sqrt.f64 -1))) 1/8) (*.f64 x x)))))
(+.f64 (log.f64 (neg.f64 (pow.f64 (sqrt.f64 -1) 3/2))) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) x) (+.f64 (/.f64 (+.f64 (/.f64 1/24 (sqrt.f64 -1)) (/.f64 -1/8 (sqrt.f64 -1))) (pow.f64 x 3)) 0)))
(*.f64 (sqrt.f64 (sqrt.f64 -1)) x)
(+.f64 (.f64 (sqrt.f64 (sqrt.f64 -1)) x) (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (sqrt.f64 -1)) x (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (*.f64 (sqrt.f64 (sqrt.f64 -1)) x))
(+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) x) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (sqrt.f64 -1)) x) (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) x)) (fma.f64 (sqrt.f64 (sqrt.f64 -1)) x (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))))
(fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (/.f64 x (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (fma.f64 (sqrt.f64 (sqrt.f64 -1)) x (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (sqrt.f64 -1)) x (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (+.f64 (/.f64 (+.f64 (/.f64 1/4 (sqrt.f64 -1)) (/.f64 -1/8 (sqrt.f64 -1))) x) 1/2)))
(fma.f64 (sqrt.f64 (sqrt.f64 -1)) x (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (+.f64 1/2 (/.f64 (/.f64 1/4 (sqrt.f64 -1)) (/.f64 x 1/2)))))
(+.f64 (.f64 -1/4 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) x) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (sqrt.f64 -1)) x) (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) x)) (fma.f64 (sqrt.f64 (sqrt.f64 -1)) x (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (.f64 x x)) (sqrt.f64 (/.f64 -1 (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (/.f64 x (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (fma.f64 (sqrt.f64 (sqrt.f64 -1)) x (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))))))
(fma.f64 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 1/4 (sqrt.f64 -1))) (.f64 x x)) (.f64 -1/4 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 (sqrt.f64 -1)) x (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (+.f64 (/.f64 (+.f64 (/.f64 1/4 (sqrt.f64 -1)) (/.f64 -1/8 (sqrt.f64 -1))) x) 1/2))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) (/.f64 (/.f64 1/4 (sqrt.f64 -1)) (.f64 x x))) (fma.f64 (sqrt.f64 (sqrt.f64 -1)) x (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (+.f64 1/2 (/.f64 (/.f64 1/4 (sqrt.f64 -1)) (/.f64 x 1/2))))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 -1 (sqrt.f64 -1))) x))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) x)
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) (neg.f64 x))
(*.f64 (pow.f64 (sqrt.f64 -1) 3/2) (neg.f64 x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) x)) (.f64 1/2 (/.f64 1 (sqrt.f64 (*.f64 -1 (sqrt.f64 -1))))))
(-.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) x) (/.f64 1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))
(fma.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) x (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))
(-.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))
(-.f64 (/.f64 -1/2 (pow.f64 (sqrt.f64 -1) 3/2)) (*.f64 x (pow.f64 (sqrt.f64 -1) 3/2)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) x))) (.f64 -1 (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) x))) (.f64 1/2 (/.f64 1 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))))))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) (.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) x)) (/.f64 1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))
(fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (*.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) x (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(-.f64 (/.f64 (fma.f64 1/2 (/.f64 -1/4 (sqrt.f64 -1)) (/.f64 1/4 (sqrt.f64 -1))) (*.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) (fma.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(-.f64 (*.f64 (/.f64 -1/4 (pow.f64 (pow.f64 (sqrt.f64 -1) 3/2) 3)) (/.f64 1/2 x)) (fma.f64 x (pow.f64 (sqrt.f64 -1) 3/2) (/.f64 1/2 (pow.f64 (sqrt.f64 -1) 3/2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) x))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 -1/2 (sqrt.f64 (.f64 -1 (sqrt.f64 -1)))) 2)) (.f64 (pow.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) 3) (pow.f64 x 2)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 -1 (sqrt.f64 -1))) x)))) (.f64 1/2 (/.f64 1 (sqrt.f64 (*.f64 -1 (sqrt.f64 -1))))))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 3))) (.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) x))) (/.f64 1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) (.f64 (/.f64 -1/4 (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 3)) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) 2)) (*.f64 x x)))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))) x (/.f64 -1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 (fma.f64 1/2 (/.f64 -1/4 (sqrt.f64 -1)) (/.f64 1/4 (sqrt.f64 -1))) (.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) (-.f64 (/.f64 (/.f64 (fma.f64 -1/4 (/.f64 -1/4 (sqrt.f64 -1)) (/.f64 -1/8 (sqrt.f64 -1))) (.f64 x x)) (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) 3)) (fma.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1/2 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))))
(-.f64 (fma.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 (pow.f64 (sqrt.f64 -1) 3/2) 3)) (/.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -1) 3/2)) (*.f64 x x))) (fma.f64 x (pow.f64 (sqrt.f64 -1) 3/2) (/.f64 1/2 (pow.f64 (sqrt.f64 -1) 3/2))))

prune872.0ms (31.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	273	0	273
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	273	2	275

Error

Counts

275 → 2

Alt Table

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

Compiler

Compiled 6976 to 4944 computations (29.1% saved)

regimes12.0ms (0.4%)

Accuracy

Total -0.3b remaining (-3300%)

Threshold costs -0.3b (-3300%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x)))

Results

3.0ms	0.0b	`x`
3.0ms	0.0b	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
3.0ms	0.0b	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 58 to 39 computations (32.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	20	23
2	27	23
3	31	23
4	33	23

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x)))

end19.0ms (0.7%)

Stop Event

1×

done

Compiler

Compiled 32 to 22 computations (31.3% saved)

Details

analyze4.0ms (0.2%)

sample987.0ms (35.2%)

preprocess97.0ms (3.4%)

simplify89.0ms (3.2%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

series7.0ms (0.3%)

rewrite66.0ms (2.4%)

simplify46.0ms (1.6%)

prune438.0ms (15.6%)

localize10.0ms (0.3%)

series10.0ms (0.3%)

rewrite76.0ms (2.7%)

simplify57.0ms (2%)

prune872.0ms (31.1%)

regimes12.0ms (0.4%)

simplify2.0ms (0.1%)

end19.0ms (0.7%)

Profiling