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)

sample971.0ms (18.6%)

Results

956.0ms	8256×	body	256	valid
1.0ms	14×	body	256	invalid

Bogosity

preprocess173.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify172.0ms (3.3%)

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)

localize64.0ms (1.2%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 54 to 30 computations (44.4% saved)

series5.0ms (0.1%)

Counts

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

rewrite95.0ms (1.8%)

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)))
(+.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)

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

simplify146.0ms (2.8%)

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	1537	11543
2	5577	11443

Stop Event

1×	node limit

Counts

283 → 429

Calls

Call 1

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

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

eval152.0ms (2.9%)

Compiler: Compiled 8921 to 6102 computations (31.6% saved)

prune62.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	424	5	429
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	425	5	430

Accurracy

100.0%

Counts

430 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (log.f64 2) (log.f64 x))
▶	99.7%	(+.f64 (.f64 x (.f64 x -1/4)) (-.f64 (log.f64 2) (log.f64 x)))
▶	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	99.1%	(log.f64 (/.f64 2 x))
▶	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	99.2%	(-.f64 (log.f64 2) (log.f64 x))
▶	99.7%	(+.f64 (.f64 x (.f64 x -1/4)) (-.f64 (log.f64 2) (log.f64 x)))
▶	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	99.1%	(log.f64 (/.f64 2 x))
▶	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 184 to 144 computations (21.7% saved)

localize410.0ms (7.8%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	100.0%	(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
✓	100.0%	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
✓	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.7%	(-.f64 (log.f64 2) (log.f64 x))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
✓	99.6%	(log.f64 (/.f64 2 x))
✓	100.0%	(+.f64 (.f64 x (.f64 x -1/4)) (-.f64 (log.f64 2) (log.f64 x)))
✓	99.7%	(-.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 132 to 85 computations (35.6% saved)

series384.0ms (7.3%)

Counts

8 → 88

Calls

24 calls:

Time	Variable		Point	Expression
328.0ms	x	@	0	(-.f64 (log.f64 2) (log.f64 x))
24.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
10.0ms	x	@	-inf	(-.f64 (log.f64 2) (log.f64 x))
6.0ms	x	@	inf	(-.f64 (log.f64 2) (log.f64 x))
6.0ms	x	@	0	(log.f64 (/.f64 2 x))

rewrite138.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`expm1-udef`
560×	`add-sqr-sqrt`
538×	`pow1`
538×	`*-un-lft-identity`
528×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	162
1	590	160
2	7625	160

Stop Event

1×	node limit

Counts

8 → 286

Calls

Call 1

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

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

simplify154.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

980×	`fma-neg`
672×	`fma-def`
588×	`log-prod`
476×	`associate-r`
446×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	628	12958
1	1574	12060
2	5967	12048

Stop Event

1×	node limit

Counts

374 → 412

Calls

Call 1

Inputs
(-.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) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(*.f64 -1/4 (pow.f64 x 2))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(*.f64 -1/4 (pow.f64 x 2))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 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 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.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 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.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))) (cbrt.f64 (pow.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 (log.f64 (/.f64 2 x)) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (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 (log1p.f64 1) (-.f64 (log.f64 x) (.f64 x (.f64 x -1/4))))
(-.f64 (fma.f64 (*.f64 x x) -1/4 (log1p.f64 1)) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/16) (-.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))) (/.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (-.f64 (.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))))
(.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x))) 1)
(.f64 1 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x))))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))
(.f64 (+.f64 (.f64 (pow.f64 x 6) -1/64) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 (log.f64 (/.f64 2 x)) (-.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x -1/4)))))))
(.f64 (-.f64 (.f64 (pow.f64 x 4) 1/16) (pow.f64 (log.f64 (/.f64 2 x)) 2)) (/.f64 1 (-.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 (log.f64 (/.f64 2 x)) (-.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x -1/4))))) (+.f64 (*.f64 (pow.f64 x 6) -1/64) (pow.f64 (log.f64 (/.f64 2 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x))) (-.f64 (*.f64 (pow.f64 x 4) 1/16) (pow.f64 (log.f64 (/.f64 2 x)) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) -1/64) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 (log.f64 (/.f64 2 x)) (-.f64 (log.f64 (/.f64 2 x)) (.f64 x (*.f64 x -1/4))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) -1/64) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (-.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 x (.f64 (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/16) (pow.f64 (log.f64 (/.f64 2 x)) 2)) (-.f64 (.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 6) -1/64) (pow.f64 (log.f64 (/.f64 2 x)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 (log.f64 (/.f64 2 x)) (-.f64 (log.f64 (/.f64 2 x)) (.f64 x (*.f64 x -1/4)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/16) (pow.f64 (log.f64 (/.f64 2 x)) 2))) (neg.f64 (-.f64 (.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 x x) -1/4 (log1p.f64 1)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 (fma.f64 (.f64 x x) -1/4 (log1p.f64 1)) (fma.f64 (.f64 x x) -1/4 (log1p.f64 1))) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (fma.f64 (.f64 x x) -1/4 (log1p.f64 1)) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (pow.f64 x 4) 1/16)) (-.f64 (log.f64 (/.f64 2 x)) (.f64 x (*.f64 x -1/4))))
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(/.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)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(.f64 1 (/.f64 (+.f64 1 (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)))) (/.f64 1 x))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 1)
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 1 x)))
(.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (/.f64 1 x)))
(.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 1 (neg.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (cbrt.f64 (.f64 x x))) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (cbrt.f64 x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(pow.f64 (exp.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))))
(pow.f64 (exp.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))))
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (/.f64 (pow.f64 x -2) x)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))

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

eval233.0ms (4.5%)

Compiler: Compiled 9618 to 7080 computations (26.4% saved)

prune118.0ms (2.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	548	3	551
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	550	6	556

Accurracy

100.0%

Counts

556 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
▶	2.6%	(.f64 x (.f64 x -1/4))
▶	99.5%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.1%	(log.f64 (/.f64 2 x))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	99.6%	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
▶	2.6%	(.f64 x (.f64 x -1/4))
▶	99.5%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.1%	(log.f64 (/.f64 2 x))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 102 to 78 computations (23.5% saved)

localize381.0ms (7.3%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
	99.6%	(log.f64 (/.f64 2 x))

Compiler

Compiled 54 to 37 computations (31.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
0.0ms	x	@	inf	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
0.0ms	x	@	-inf	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))

rewrite172.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`log-prod`
688×	`pow-prod-down`
660×	`fma-def`
514×	`pow-prod-up`
484×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	237	25
2	3022	25

Stop Event

1×	node limit

Counts

1 → 69

Calls

Call 1

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

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

simplify80.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

956×	`fma-neg`
860×	`cancel-sign-sub-inv`
816×	`fma-def`
624×	`div-sub`
466×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	3333
1	492	2825
2	1238	2793
3	4381	2793

Stop Event

1×	node limit

Counts

81 → 91

Calls

Call 1

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

Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 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))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 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))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 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))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1/4 (*.f64 x x) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 (*.f64 x -1/4) x (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 x (*.f64 x -1/4) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1/4 (*.f64 x x) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 (*.f64 x -1/4) x (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 x (*.f64 x -1/4) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1/4 (*.f64 x x) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 (*.f64 x -1/4) x (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 x (*.f64 x -1/4) (log.f64 -2)))
(-.f64 (log.f64 2) (-.f64 (log.f64 x) (.f64 -1/4 (.f64 x x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))) 1)
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/16) (fma.f64 x (.f64 x -1/4) (log.f64 (.f64 x 1/2)))) (/.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (fma.f64 x (.f64 x -1/4) (log.f64 (*.f64 x 1/2)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/16) (pow.f64 (log.f64 (/.f64 2 x)) 2)) (fma.f64 x (.f64 x -1/4) (log.f64 (*.f64 x 1/2))))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x))) 1)
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(.f64 1 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
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(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(fma.f64 (*.f64 x x) -1/4 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (.f64 x -1/4)) (.f64 (sqrt.f64 (*.f64 x -1/4)) x) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(fma.f64 (.f64 x (sqrt.f64 -1/4)) (.f64 x (sqrt.f64 -1/4)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (.f64 -1/4 (.f64 x x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (-.f64 (log.f64 x) (.f64 -1/4 (.f64 x x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (-.f64 (log.f64 x) (.f64 -1/4 (.f64 x x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (.f64 x x) 1/16))) (cbrt.f64 (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) (.f64 x (cbrt.f64 (.f64 x -1/4))) (log.f64 (/.f64 2 x)))
(fma.f64 x (.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) (cbrt.f64 (.f64 x -1/4))) (log.f64 (/.f64 2 x)))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x -1/4))) (sqrt.f64 (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(fma.f64 (.f64 (.f64 x -1/4) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(fma.f64 (.f64 (.f64 x -1/4) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))

eval37.0ms (0.7%)

Compiler: Compiled 1625 to 1186 computations (27% saved)

prune17.0ms (0.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	99	6	105

Accurracy

100.0%

Counts

105 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
▶	2.6%	(.f64 -1/4 (.f64 x x))
✓	99.5%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.1%	(log.f64 (/.f64 2 x))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
✓	99.6%	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
▶	2.6%	(.f64 -1/4 (.f64 x x))
✓	99.5%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.1%	(log.f64 (/.f64 2 x))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 102 to 78 computations (23.5% saved)

localize19.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 -1/4 (.f64 x x))

Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 -1/4 (.f64 x x))
0.0ms	x	@	0	(.f64 -1/4 (.f64 x x))
0.0ms	x	@	-inf	(.f64 -1/4 (.f64 x x))

rewrite47.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`pow1`
1026×	`add-sqr-sqrt`
980×	`add-exp-log`
980×	`log1p-expm1-u`
980×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1386	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 -1/4 (.f64 x x))

Outputs
(-.f64 (+.f64 1 (.f64 -1/4 (.f64 x x))) 1)
(pow.f64 (.f64 -1/4 (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 -1/4 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 -1/4 (.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)
(sqrt.f64 (*.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/4) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 -1/4 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 -1/4 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -1/4 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 -1/4 (.f64 x x))))

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2120×	`log-prod`
1106×	`distribute-rgt-in`
1092×	`distribute-lft-in`
768×	`associate-r`
676×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	91	299
2	321	299
3	2105	299
4	6976	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

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

Outputs
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(-.f64 (+.f64 1 (.f64 -1/4 (.f64 x x))) 1)
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(pow.f64 (.f64 -1/4 (.f64 x x)) 1)
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(pow.f64 (cbrt.f64 (.f64 -1/4 (.f64 x x))) 3)
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(pow.f64 (pow.f64 (.f64 -1/4 (.f64 x x)) 3) 1/3)
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(sqrt.f64 (*.f64 1/16 (pow.f64 x 4)))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(log.f64 (pow.f64 (exp.f64 -1/4) (*.f64 x x)))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(cbrt.f64 (pow.f64 (.f64 -1/4 (.f64 x x)) 3))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(expm1.f64 (log1p.f64 (.f64 -1/4 (.f64 x x))))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(exp.f64 (log.f64 (.f64 -1/4 (.f64 x x))))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))
(log1p.f64 (expm1.f64 (.f64 -1/4 (.f64 x x))))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 -1/4 x))

eval2.0ms (0%)

Compiler: Compiled 97 to 63 computations (35.1% saved)

prune6.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	13	7	20

Accurracy

100.0%

Counts

20 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.1%	(-.f64 (+.f64 1 (.f64 -1/4 (.f64 x x))) 1)
✓	99.6%	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
✓	2.6%	(.f64 -1/4 (.f64 x x))
✓	99.5%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	99.6%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.1%	(log.f64 (/.f64 2 x))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 150 to 108 computations (28% saved)

regimes29.0ms (0.6%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
8.0ms	x
7.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 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 118 to 81 computations (31.4% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes7.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(-.f64 (+.f64 1 (.f64 -1/4 (.f64 x x))) 1)

Outputs
(-.f64 (+.f64 1 (.f64 -1/4 (.f64 x x))) 1)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
3.1%	1	`x`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))

Outputs
(.f64 -1/4 (.f64 x x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
2.6%	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`unsub-neg`
28×	`neg-mul-1`
26×	`+-commutative`
22×	`*-commutative`
16×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	159
1	58	159
2	72	159
3	84	159
4	106	159
5	137	159

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 x -1/4)) (-.f64 (log.f64 2) (log.f64 x)))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
(-.f64 (+.f64 1 (.f64 -1/4 (.f64 x x))) 1)
(+.f64 (+.f64 1 (.f64 -1/4 (.f64 x x))) -1)
(.f64 -1/4 (.f64 x x))

Compiler

Compiled 62 to 48 computations (22.6% saved)

soundness988.0ms (18.9%)

Rules

1214×	`log-prod`
1058×	`pow1`
1026×	`add-sqr-sqrt`
980×	`add-exp-log`
980×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	624	12355
1	1537	11543
2	5577	11443
0	628	12958
1	1574	12060
2	5967	12048
0	194	3333
1	492	2825
2	1238	2793
3	4381	2793
0	6	13
1	122	13
2	1386	13
0	624	12355
1	1537	11543
2	5577	11443
0	27	162
1	590	160
2	7625	160
0	12	114
1	262	114
2	3765	110
0	624	12355
1	1537	11543
2	5577	11443

Stop Event

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

Compiler

Compiled 476 to 338 computations (29% saved)

end0.0ms (0%)

preprocess60.0ms (1.1%)

Compiler: Compiled 140 to 100 computations (28.6% saved)

analyze3.0ms (0.1%)

sample971.0ms (18.6%)

preprocess173.0ms (3.3%)

simplify172.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize64.0ms (1.2%)

series5.0ms (0.1%)

rewrite95.0ms (1.8%)

simplify146.0ms (2.8%)

eval152.0ms (2.9%)

prune62.0ms (1.2%)

localize410.0ms (7.8%)

series384.0ms (7.3%)

rewrite138.0ms (2.6%)

simplify154.0ms (2.9%)

eval233.0ms (4.5%)

prune118.0ms (2.3%)

localize381.0ms (7.3%)

series0.0ms (0%)

rewrite172.0ms (3.3%)

simplify80.0ms (1.5%)

eval37.0ms (0.7%)

prune17.0ms (0.3%)

localize19.0ms (0.4%)

series1.0ms (0%)

rewrite47.0ms (0.9%)

simplify64.0ms (1.2%)

eval2.0ms (0%)

prune6.0ms (0.1%)

regimes29.0ms (0.6%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify11.0ms (0.2%)

soundness988.0ms (18.9%)

end0.0ms (0%)

preprocess60.0ms (1.1%)

Profiling