Metrics for Hyperbolic arc-(co)secant

analyze4.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.3s (25.3%)

Results

1.3s	8256×	body	256	valid
2.0ms	24×	body	256	invalid

Bogosity

preprocess168.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1654×	`fma-def`
1242×	`sub-neg`
1138×	`distribute-lft-out`
842×	`associate-+r+`
722×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	86
1	39	82
2	61	82
3	119	82
4	174	82
5	256	82
6	382	82
7	656	82
8	1268	82
9	2148	82
10	4774	82
11	6496	82
12	7274	82
13	7572	82
14	7628	82
15	7660	82
16	7937	82

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify175.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1468×	`fma-def`
1260×	`distribute-lft-out`
1098×	`unsub-neg`
798×	`distribute-rgt-in`
750×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	20	39
2	27	39
3	39	39
4	56	39
5	84	39
6	131	39
7	347	39
8	736	39
9	1570	39
10	2942	39
11	4651	39
12	5594	39
13	5912	39
14	6198	39
15	6367	39
16	6444	39
17	6711	39
18	7709	39

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

99.6%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.6%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize66.0ms (1.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
✓	100.0%	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
✓	99.6%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 54 to 30 computations (44.4% saved)

series5.0ms (0.1%)

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)))
0.0ms	x	@	inf	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0ms	x	@	-inf	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

rewrite95.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1214×	`log-prod`
858×	`fma-def`
854×	`pow-prod-down`
648×	`pow-exp`
618×	`pow-prod-up`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	97
1	262	97
2	3765	93

Stop Event

1×	node limit

Counts

3 → 200

Calls

Call 1

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

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

simplify129.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1510×	`unswap-sqr`
634×	`log-prod`
480×	`fma-def`
442×	`exp-prod`
436×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	529	10888
1	1330	10180
2	4405	10052

Stop Event

1×	node limit

Counts

236 → 359

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

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

eval146.0ms (2.9%)

Compiler: Compiled 7425 to 5030 computations (32.3% saved)

prune50.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	354	5	359
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	355	5	360

Accurracy

100.0%

Counts

360 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (log.f64 2) (log.f64 x))
▶	100.0%	(.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x)))
▶	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	99.1%	(log.f64 (/.f64 2 x))
▶	99.4%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	99.2%	(-.f64 (log.f64 2) (log.f64 x))
▶	100.0%	(.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x)))
▶	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	99.1%	(log.f64 (/.f64 2 x))
▶	99.4%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 200 to 152 computations (24% saved)

localize196.0ms (3.9%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
✓	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.7%	(-.f64 (log.f64 2) (log.f64 x))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
✓	99.6%	(log.f64 (/.f64 2 x))
✓	100.0%	(sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
✓	100.0%	(fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
✓	100.0%	(log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
✓	99.5%	(/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)

Compiler

Compiled 177 to 104 computations (41.2% saved)

series101.0ms (2%)

Counts

9 → 92

Calls

27 calls:

Time	Variable		Point	Expression
25.0ms	x	@	-inf	(-.f64 (log.f64 2) (log.f64 x))
21.0ms	x	@	0	(log.f64 (/.f64 2 x))
18.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
15.0ms	x	@	0	(-.f64 (log.f64 2) (log.f64 x))
6.0ms	x	@	inf	(log.f64 (/.f64 2 x))

rewrite142.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`expm1-udef`
560×	`add-sqr-sqrt`
542×	`pow1`
542×	`*-un-lft-identity`
526×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	225
1	594	223
2	7501	223

Stop Event

1×	node limit

Counts

9 → 280

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

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

simplify191.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1076×	`log-prod`
908×	`fma-neg`
890×	`fma-def`
658×	`associate-l`
652×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	775	15442
1	1931	14182
2	7239	14164

Stop Event

1×	node limit

Counts

372 → 515

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 (pow.f64 (sqrt.f64 -1) 3)))
(+.f64 (.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 x))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 2)))) (+.f64 (.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 x)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 2)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9))) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 3)))) (+.f64 (.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.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 (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) x))) (log.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) x))) (.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 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 x 2)))))
(+.f64 (log.f64 (.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))) (+.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 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 (sqrt.f64 -1) 6))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9)))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) x))) (.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 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 x 2))))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 -1/2 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 -1) (pow.f64 x 2))
(+.f64 x (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(-.f64 (+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))
(.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(*.f64 (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 (pow.f64 (sqrt.f64 -1) 3)) x))
(+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) x)))
(+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) x)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) x)))))
(+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) x)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9))) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.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)))
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(fma.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(fma.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1)
(fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (-.f64 1 (.f64 x x)) 1/4) 1)

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)))
(+.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))))
(+.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)))))
(*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))
(neg.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))
(neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))
(+.f64 (.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 x))))
(fma.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) (.f64 -1/2 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))
(fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) x) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 2)))) (+.f64 (.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 x)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) 2)) (.f64 x x))) (fma.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) (.f64 -1/2 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) x) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) x)) (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) x) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 2)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9))) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 3)))) (+.f64 (.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 x))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) 2)) (.f64 x x))) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9))) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) 2)) (pow.f64 x 3))) (fma.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) (.f64 -1/2 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) x) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) x)) (fma.f64 -1/4 (/.f64 (.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9)))) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) x) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))))
(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 (.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 (.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))))
(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 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (/.f64 1/2 (.f64 (sqrt.f64 -1) x))))
(log.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))))
(log.f64 (neg.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))))
(log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) x))) (log.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 -1) 3))))
(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 (.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) x))) (.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 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 x 2)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.f64 1/2 (.f64 x (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) 2)) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 6))) (.f64 x x)))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (/.f64 (+.f64 1/4 (.f64 1 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) (sqrt.f64 -1)))) (*.f64 x x))) (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 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) (sqrt.f64 -1)) 1/4) (.f64 x x))) (log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(+.f64 (log.f64 (.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))) (+.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 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 (sqrt.f64 -1) 6))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9)))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) x))) (.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 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 x 2))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))) (fma.f64 -1/6 (/.f64 (-.f64 (.f64 -3 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) 2)) (pow.f64 (sqrt.f64 -1) 6))) (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 9))) (pow.f64 x 3)) (+.f64 (/.f64 1/2 (.f64 x (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) 2)) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 6))) (.f64 x x))))))
(+.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 (+.f64 1/4 (.f64 1 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) (sqrt.f64 -1)))) (.f64 x x))) (.f64 -1/6 (/.f64 (fma.f64 -3 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) -1) (/.f64 -1/4 (pow.f64 (sqrt.f64 -1) 9))) (pow.f64 x 3)))))
(+.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 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) (sqrt.f64 -1)) 1/4) (.f64 x x))) (.f64 -1/6 (/.f64 (fma.f64 -3 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) -1) (/.f64 -1/4 (pow.f64 (sqrt.f64 -1) 9))) (pow.f64 x 3)))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 -1/2 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) -1/2))
(fma.f64 (pow.f64 x 3) -1/2 (*.f64 x 2))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 -1/2 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 5))))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 7) (*.f64 -1/8 (pow.f64 x 5)))))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) -1/2 (fma.f64 -1/8 (pow.f64 x 5) (*.f64 -1/16 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 -1) (pow.f64 x 2))
(.f64 (sqrt.f64 -1) (.f64 x x))
(+.f64 x (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 x (.f64 (sqrt.f64 -1) (.f64 x x)))
(fma.f64 (sqrt.f64 -1) (*.f64 x x) x)
(+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 x (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (/.f64 1/2 (sqrt.f64 -1)) (fma.f64 (sqrt.f64 -1) (*.f64 x x) x))
(-.f64 (+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))
(+.f64 x (-.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/8 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (fma.f64 (sqrt.f64 -1) (.f64 x x) x)) (/.f64 -1/8 (.f64 (*.f64 x x) (neg.f64 (sqrt.f64 -1)))))
(.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(.f64 (neg.f64 (sqrt.f64 -1)) (.f64 x x))
(.f64 (.f64 x x) (neg.f64 (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 (sqrt.f64 -1) (.f64 x x)) x)
(-.f64 x (.f64 (sqrt.f64 -1) (.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(-.f64 (fma.f64 -1 (.f64 (sqrt.f64 -1) (.f64 x x)) x) (/.f64 1/2 (sqrt.f64 -1)))
(+.f64 (-.f64 x (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 -1/2 (sqrt.f64 -1)))
(+.f64 x (fma.f64 (sqrt.f64 -1) (neg.f64 (*.f64 x x)) (/.f64 -1/2 (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 1/8 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -1) 3))) (-.f64 (fma.f64 -1 (.f64 (sqrt.f64 -1) (.f64 x x)) x) (/.f64 1/2 (sqrt.f64 -1))))
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (.f64 x x)) (+.f64 (-.f64 x (.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 -1/2 (sqrt.f64 -1))))
(+.f64 (-.f64 x (.f64 (sqrt.f64 -1) (.f64 x x))) (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 -1/2 (sqrt.f64 -1))))
(*.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))
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(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))
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(-.f64 0 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
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(.f64 1 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
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(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
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(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (log.f64 x) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(/.f64 (-.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(/.f64 (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 (pow.f64 (log.f64 x) 2))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (pow.f64 (log.f64 x) 2)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))
(fabs.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 1))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (+.f64 0 (.f64 x x)) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (.f64 x x) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))
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(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 0 (.f64 x x))))
(.f64 (.f64 x x) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (+.f64 1 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
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(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (+.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
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(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (+.f64 0 (.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (.f64 x x) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
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(/.f64 (.f64 x (neg.f64 x)) (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1))
(/.f64 (.f64 x (neg.f64 x)) (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) -1))
(.f64 (/.f64 x (+.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (neg.f64 (+.f64 1 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
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(/.f64 (.f64 x (neg.f64 x)) (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) -1))
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(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) 1/3)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2))
(fabs.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1)
(fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (-.f64 1 (.f64 x x)) 1/4) 1)
(+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/2))

eval215.0ms (4.2%)

Compiler: Compiled 11076 to 8286 computations (25.2% saved)

prune67.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	513	2	515
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	515	5	520

Accurracy

100.0%

Counts

520 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 2 (log.f64 (/.f64 (sqrt.f64 (.f64 x 2)) x)))
▶	99.5%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.1%	(log.f64 (/.f64 2 x))
✓	99.4%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	99.5%	(.f64 2 (log.f64 (/.f64 (sqrt.f64 (.f64 x 2)) x)))
▶	99.5%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.1%	(log.f64 (/.f64 2 x))
✓	99.4%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 88 to 70 computations (20.5% saved)

localize72.0ms (1.4%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) x))
✓	99.5%	(/.f64 (sqrt.f64 (*.f64 x 2)) x)
✓	100.0%	(log.f64 (*.f64 x 1/2))

Compiler

Compiled 47 to 34 computations (27.7% saved)

series34.0ms (0.7%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	x	@	-inf	(log.f64 (*.f64 x 1/2))
11.0ms	x	@	0	(log.f64 (*.f64 x 1/2))
5.0ms	x	@	inf	(log.f64 (*.f64 x 1/2))
1.0ms	x	@	0	(log.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) x))
1.0ms	x	@	-inf	(/.f64 (sqrt.f64 (*.f64 x 2)) x)

rewrite83.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`log-prod`
648×	`prod-exp`
634×	`pow-prod-down`
550×	`pow-prod-up`
480×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	239	49
2	2821	49

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

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

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

simplify653.0ms (12.8%)

Algorithm

1×	egg-herbie

Rules

1164×	`distribute-lft-in`
828×	`times-frac`
758×	`unswap-sqr`
580×	`sqr-pow`
520×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	475	5570
1	1065	5324
2	3088	5232

Stop Event

1×	node limit

Counts

204 → 249

Calls

Call 1

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

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

eval79.0ms (1.6%)

Compiler: Compiled 3883 to 1989 computations (48.8% saved)

prune34.0ms (0.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	249	5	254

Accurracy

100.0%

Counts

254 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(.f64 2 (log.f64 (/.f64 (sqrt.f64 (.f64 x 2)) x)))
✓	99.5%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.1%	(log.f64 (/.f64 2 x))
✓	99.4%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 117 to 87 computations (25.6% saved)

regimes19.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
100.0%	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 102 to 72 computations (29.4% saved)

regimes17.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
99.6%	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 87 to 63 computations (27.6% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	104
1	37	104
2	45	104
3	50	104
4	52	104

Stop Event

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

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

Compiler

Compiled 39 to 29 computations (25.6% saved)

soundness657.0ms (12.9%)

Rules

1510×	`unswap-sqr`
1510×	`unswap-sqr`
1214×	`log-prod`
1214×	`log-prod`
934×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	97
1	262	97
2	3765	93
0	529	10888
1	1330	10180
2	4405	10052
0	28	225
1	594	223
2	7501	223
0	12	97
1	262	97
2	3765	93
0	529	10888
1	1330	10180
2	4405	10052

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 593 to 386 computations (34.9% saved)

end0.0ms (0%)

preprocess386.0ms (7.6%)

Compiler: Compiled 100 to 70 computations (30% saved)

analyze4.0ms (0.1%)

sample1.3s (25.3%)

preprocess168.0ms (3.3%)

simplify175.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize66.0ms (1.3%)

series5.0ms (0.1%)

rewrite95.0ms (1.9%)

simplify129.0ms (2.5%)

eval146.0ms (2.9%)

prune50.0ms (1%)

localize196.0ms (3.9%)

series101.0ms (2%)

rewrite142.0ms (2.8%)

simplify191.0ms (3.7%)

eval215.0ms (4.2%)

prune67.0ms (1.3%)

localize72.0ms (1.4%)

series34.0ms (0.7%)

rewrite83.0ms (1.6%)

simplify653.0ms (12.8%)

eval79.0ms (1.6%)

prune34.0ms (0.7%)

regimes19.0ms (0.4%)

regimes17.0ms (0.3%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

simplify7.0ms (0.1%)

soundness657.0ms (12.9%)

end0.0ms (0%)

preprocess386.0ms (7.6%)

Profiling