Metrics for Hyperbolic arc-(co)secant

analyze3.0ms (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)

sample2.0s (44.2%)

Results

1.9s	8256×	body	256	valid
2.0ms	25×	body	256	invalid

Bogosity

preprocess185.0ms (4.2%)

Algorithm

2×	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
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify180.0ms (4.1%)

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)

localize57.0ms (1.3%)

Local Accuracy

Found 4 expressions with local accuracy:

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

4 → 48

Calls

12 calls:

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

rewrite105.0ms (2.4%)

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	114
1	262	114
2	3765	110

Stop Event

1×	node limit

Counts

4 → 235

Calls

Call 1

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

simplify146.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

832×	`log-prod`
708×	`fma-neg`
642×	`fma-def`
598×	`div-sub`
592×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	624	12355
1	1538	11543
2	5575	11443

Stop Event

1×	node limit

Counts

283 → 426

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))))
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(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))

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 (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 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 -1/6 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 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 (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 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.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 (/.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 (log.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 1/6 (/.f64 (pow.f64 x -3) (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 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (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 (fma.f64 1/6 (/.f64 (pow.f64 x -3) (neg.f64 (sqrt.f64 -1))) (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)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/8)))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 (pow.f64 x 4) -1/8))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (.f64 (pow.f64 x 4) -1/8))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 (pow.f64 x 6) -1/16 (.f64 (pow.f64 x 4) -1/8)))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (-.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 -1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (.f64 (/.f64 (pow.f64 x -3) (neg.f64 (sqrt.f64 -1))) -1/8)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (-.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (-.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))
(fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 x (neg.f64 (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(+.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (-.f64 (.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(fma.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) 1/8 (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1)))))
(fma.f64 (/.f64 (pow.f64 x -3) (neg.f64 (sqrt.f64 -1))) 1/8 (fma.f64 x (neg.f64 (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x)))))
(-.f64 (+.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (.f64 (neg.f64 (sqrt.f64 -1)) x)) (+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(-.f64 (fma.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) 1/8 (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (.f64 x (sqrt.f64 -1))))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(-.f64 (fma.f64 (/.f64 (pow.f64 x -3) (neg.f64 (sqrt.f64 -1))) 1/8 (fma.f64 x (neg.f64 (sqrt.f64 -1)) (/.f64 -1/2 (.f64 x (sqrt.f64 -1))))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (/.f64 1 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x -1/2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 1 x)) (*.f64 (pow.f64 x 5) -1/16)))
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x -1/2 (fma.f64 (pow.f64 x 5) -1/16 (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (-.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/16 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (-.f64 (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/16 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (-.f64 (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 -1)) (-.f64 (/.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))
(/.f64 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)
(+.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 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (+.f64 (sqrt.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
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(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
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(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
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(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
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(/.f64 (+.f64 1 (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)))))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
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(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
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(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(expm1.f64 (log1p.f64 (.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)))))
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(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
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(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
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(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
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(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x) 2)
(/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 x x))
(log1p.f64 (expm1.f64 (.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 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (/.f64 1 x) 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x) (/.f64 1 x))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1 (/.f64 1 x))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 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))
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(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))
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(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 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))
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(fma.f64 -1 (pow.f64 (neg.f64 x) -1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
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eval160.0ms (3.6%)

Compiler: Compiled 8870 to 6048 computations (31.8% saved)

prune67.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	420	6	426
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	421	6	427

Accurracy

100.0%

Counts

427 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(-.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)))
	51.4%	(neg.f64 (log.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
▶	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	99.3%	(log.f64 (/.f64 2 x))
▶	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	99.4%	(-.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)))
	51.4%	(neg.f64 (log.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
▶	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	99.3%	(log.f64 (/.f64 2 x))
▶	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 264 to 188 computations (28.8% saved)

localize189.0ms (4.3%)

Local Accuracy

Found 11 expressions with local accuracy:

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

series100.0ms (2.3%)

Counts

9 → 87

Calls

27 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	(-.f64 (log.f64 2) (log.f64 x))
22.0ms	x	@	0	(log.f64 (/.f64 2 x))
15.0ms	x	@	0	(-.f64 (log.f64 2) (log.f64 x))
15.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
6.0ms	x	@	inf	(log.f64 (/.f64 2 x))

rewrite142.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`expm1-udef`
900×	`log1p-udef`
544×	`add-sqr-sqrt`
526×	`pow1`
526×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	201
1	577	199
2	7296	199

Stop Event

1×	node limit

Counts

9 → 293

Calls

Call 1

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

simplify173.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1034×	`log-prod`
878×	`fma-neg`
786×	`fma-def`
650×	`associate-l`
636×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	755	14584
1	1873	13424
2	6913	13414

Stop Event

1×	node limit

Counts

380 → 519

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

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 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)))) (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) x) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))))
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(.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 (+.f64 1 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))
(.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (/.f64 1 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 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 (+.f64 1 (-.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 1 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (+.f64 (-.f64 1 (.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 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 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))))))
(/.f64 (.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 x (/.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1) (neg.f64 x)))
(.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 (+.f64 1 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (neg.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (+.f64 -1 (fma.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 (fma.f64 x x -1) (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))))))
(/.f64 x (/.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1) (neg.f64 x)))
(.f64 (/.f64 x (+.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 x))
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(+.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))

eval322.0ms (7.3%)

Compiler: Compiled 16838 to 12497 computations (25.8% saved)

prune93.0ms (2.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	826	1	827
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	829	4	833

Accurracy

100.0%

Counts

833 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.3%	(log.f64 (/.f64 2 x))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	99.7%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.3%	(log.f64 (/.f64 2 x))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 68 to 54 computations (20.6% saved)

localize32.0ms (0.7%)

Compiler: Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.3%	(log.f64 (/.f64 2 x))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 113 to 79 computations (30.1% saved)

regimes18.0ms (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))
(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)))
(neg.f64 (log.f64 (/.f64 (.f64 x x) (fma.f64 x (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:

6.0ms	x
5.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 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 108 to 72 computations (33.3% saved)

regimes16.0ms (0.4%)

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

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

Calls

3 calls:

5.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
99.7%	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 93 to 63 computations (32.3% saved)

regimes4.0ms (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:

4.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	71
1	33	71
2	41	71
3	46	71
4	48	71

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

soundness425.0ms (9.6%)

Rules

1214×	`log-prod`
906×	`expm1-udef`
900×	`log1p-udef`
858×	`fma-def`
854×	`pow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	114
1	262	114
2	3765	110
0	624	12355
1	1538	11543
2	5575	11443
0	27	201
1	577	199
2	7296	199

Stop Event

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

Compiler

Compiled 396 to 244 computations (38.4% saved)

end40.0ms (0.9%)

Compiler: Compiled 78 to 56 computations (28.2% saved)

analyze3.0ms (0.1%)

sample2.0s (44.2%)

preprocess185.0ms (4.2%)

simplify180.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize57.0ms (1.3%)

series5.0ms (0.1%)

rewrite105.0ms (2.4%)

simplify146.0ms (3.3%)

eval160.0ms (3.6%)

prune67.0ms (1.5%)

localize189.0ms (4.3%)

series100.0ms (2.3%)

rewrite142.0ms (3.2%)

simplify173.0ms (3.9%)

eval322.0ms (7.3%)

prune93.0ms (2.1%)

localize32.0ms (0.7%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes18.0ms (0.4%)

regimes16.0ms (0.4%)

regimes4.0ms (0.1%)

simplify6.0ms (0.1%)

soundness425.0ms (9.6%)

end40.0ms (0.9%)

Profiling