Details

analyze128.0ms (2.2%)

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
25%	25%	75%	0%	0%	0%	0%	3
33.3%	25%	50%	0%	0%	25%	0%	4
40%	25%	37.5%	0%	0%	37.5%	0%	5
44.4%	25%	31.2%	0%	0%	43.7%	0%	6
47.1%	25%	28.1%	0%	0%	46.9%	0%	7
48.5%	25%	26.5%	0%	0%	48.4%	0%	8
49.2%	25%	25.8%	0%	0%	49.2%	0%	9
49.6%	25%	25.4%	0%	0%	49.6%	0%	10
49.8%	25%	25.2%	0%	0%	49.8%	0%	11
49.9%	25%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.0s (50.7%)

Results

1.2s	8256×	body	256	valid
1.1s	4231×	body	2048	invalid
400.0ms	2094×	body	1024	invalid
184.0ms	1052×	body	512	invalid
83.0ms	1005×	body	256	invalid
1.0ms	5×	body	4096	invalid

Bogosity

preprocess164.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

1668×	`fma-neg`
1246×	`unsub-neg`
1016×	`sub-neg`
834×	`distribute-neg-in`
720×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	21	23
2	25	23
3	40	23
4	81	23
5	157	23
6	366	23
7	764	23
8	2587	23
9	4531	23
10	5856	23
11	6543	23
12	6850	23
13	7040	23
14	7145	23
15	7465	23
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify163.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1668×	`fma-neg`
1246×	`unsub-neg`
1016×	`sub-neg`
834×	`distribute-neg-in`
720×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	21	23
2	25	23
3	40	23
4	81	23
5	157	23
6	366	23
7	764	23
8	2587	23
9	4531	23
10	5856	23
11	6543	23
12	6850	23
13	7040	23
14	7145	23
15	7465	23

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Accurracy

48.8%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize12.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	98.9%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	52.8%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms	x	@	-inf	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms	x	@	inf	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.0ms	x	@	0	(sqrt.f64 (-.f64 (*.f64 x x) 1))
0.0ms	x	@	inf	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`fma-def`
902×	`log-prod`
770×	`prod-exp`
618×	`pow-prod-down`
496×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	214	36
2	2915	36

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

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

simplify83.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1602×	`fma-def`
1452×	`fma-neg`
490×	`associate-+l+`
434×	`associate-+r+`
422×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	3119
1	644	2987
2	1928	2823
3	7306	2823

Stop Event

1×	node limit

Counts

101 → 165

Calls

Call 1

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

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

eval85.0ms (1.5%)

Compiler: Compiled 2609 to 1936 computations (25.8% saved)

prune32.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	163	3	166

Accurracy

100.0%

Counts

166 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(+.f64 (log.f64 2) (log.f64 x))
▶	98.8%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
▶	98.6%	(log.f64 (+.f64 x x))

Compiler

Compiled 20 to 14 computations (30% saved)

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	98.9%	(log.f64 (+.f64 x x))

Compiler

Compiled 9 to 3 computations (66.7% saved)

series56.0ms (1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(log.f64 (+.f64 x x))
16.0ms	x	@	-inf	(log.f64 (+.f64 x x))
6.0ms	x	@	inf	(log.f64 (+.f64 x x))

rewrite90.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1130×	`pow1`
1048×	`add-exp-log`
1046×	`log1p-expm1-u`
1046×	`expm1-log1p-u`
1020×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	122	11
2	1638	11

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))

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

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1428×	`fma-neg`
742×	`log-prod`
620×	`associate-+r+`
606×	`associate-+l+`
564×	`distribute-lft-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	502
1	122	390
2	428	390
3	2652	390
4	5685	390

Stop Event

1×	node limit

Counts

32 → 29

Calls

Call 1

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

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

localize20.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 x (-.f64 x (/.f64 1/2 x)))
✓	98.9%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

Compiler

Compiled 26 to 16 computations (38.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite80.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`log-prod`
934×	`fma-def`
656×	`prod-exp`
628×	`pow-prod-down`
470×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	204	42
2	2950	34

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

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

simplify122.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

980×	`unswap-sqr`
926×	`distribute-lft-in`
880×	`distribute-rgt-in`
638×	`times-frac`
506×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	379	5731
1	943	5021
2	2677	4985

Stop Event

1×	node limit

Counts

163 → 226

Calls

Call 1

Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 -1/2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2))) (log.f64 (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x) (*.f64 x x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2))) (log.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))) (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 2) (-.f64 (.f64 x x) (.f64 x (-.f64 x (/.f64 1/2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2)))) (log.f64 (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (*.f64 1/8 (pow.f64 x -3)))) (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 2) (*.f64 x x))) (log.f64 (-.f64 (-.f64 x (/.f64 1/2 x)) x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (/.f64 1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(.f64 1/3 (.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2)))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(-.f64 x (-.f64 (/.f64 1/2 x) x))
(-.f64 (+.f64 x x) (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x x) (/.f64 1/2 x))) (/.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 2) (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)
(*.f64 1 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x) (.f64 x x))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(*.f64 2 (sinh.f64 (log.f64 (+.f64 x x))))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (fma.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 2) (-.f64 (.f64 x x) (.f64 x (-.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2)) (+.f64 (-.f64 x x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2))) (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (*.f64 1/8 (pow.f64 x -3))) (+.f64 (pow.f64 (+.f64 x x) 2) (fma.f64 1/4 (pow.f64 x -2) 1)))
(/.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 2) (*.f64 x x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (/.f64 1/4 (*.f64 x x))) (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2)))) (pow.f64 (exp.f64 1) (log.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)))) (pow.f64 (exp.f64 1) (log.f64 (fma.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x) (*.f64 x x)))))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (exp.f64 1))
(pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(pow.f64 (+.f64 1 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)) 1)
(pow.f64 (/.f64 (fma.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2))) -1)
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) 1) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (-.f64 x (/.f64 1/2 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 x (/.f64 1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (-.f64 x (/.f64 1/2 x))))))
(log.f64 (*.f64 (exp.f64 (-.f64 x (/.f64 1/2 x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 1/2 x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 1/2 x)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(fma.f64 x 1 (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 1 (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (-.f64 x (/.f64 1/2 x)) 1 x)
(fma.f64 1 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 1 x (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 1 (-.f64 x (/.f64 1/2 x)) x)
(fma.f64 1 (+.f64 x x) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 (-.f64 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 1/2 x))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (-.f64 x (/.f64 1/2 x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 x (/.f64 1/2 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 x (/.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 1/2 x))) (sqrt.f64 (-.f64 x (/.f64 1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (/.f64 1/2 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 (-.f64 (pow.f64 x 3) (.f64 1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (.f64 x x))) x)
(fma.f64 (-.f64 (.f64 x x) (/.f64 1/4 (.f64 x x))) (/.f64 1 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (/.f64 -1/2 x))
(fma.f64 2 x (/.f64 -1/2 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) x)

Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1/2) (-.f64 (.f64 -4 (.f64 x x)) (log.f64 x)))
(+.f64 (.f64 -4 (.f64 x x)) (log.f64 (/.f64 -1/2 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (.f64 x x) (-.f64 (.f64 -8 (pow.f64 x 4)) (log.f64 x))))
(+.f64 (fma.f64 -4 (.f64 x x) (.f64 -8 (pow.f64 x 4))) (log.f64 (/.f64 -1/2 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -64/3 (pow.f64 x 6) (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (.f64 x x) (fma.f64 -8 (pow.f64 x 4) (-.f64 (.f64 -64/3 (pow.f64 x 6)) (log.f64 x)))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (.f64 x x) (-.f64 (fma.f64 -8 (pow.f64 x 4) (.f64 -64/3 (pow.f64 x 6))) (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(-.f64 (log.f64 (+.f64 x x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (log.f64 (+.f64 x x)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (-.f64 (+.f64 (log.f64 (+.f64 x x)) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/192 (pow.f64 x 6)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(/.f64 -1/2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 2 x)
(+.f64 x x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 2 x)
(+.f64 x x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2))) (log.f64 (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2))) (log.f64 (+.f64 0 (/.f64 1/2 x))))
(-.f64 (log.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/2 x))) (log.f64 (/.f64 1/2 x)))
(+.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x) (*.f64 x x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/2 x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x (/.f64 1/2 x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/2 x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x (/.f64 1/2 x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2))) (log.f64 (+.f64 0 (/.f64 1/2 x))))
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(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (/.f64 -1/2 x))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 2 x (/.f64 -1/2 x))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) x)

localize8.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(+.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series81.0ms (1.4%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
59.0ms	x	@	-inf	(+.f64 (log.f64 2) (log.f64 x))
16.0ms	x	@	0	(+.f64 (log.f64 2) (log.f64 x))
5.0ms	x	@	inf	(+.f64 (log.f64 2) (log.f64 x))

rewrite51.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`pow1`
1490×	`add-exp-log`
1488×	`log1p-expm1-u`
1488×	`expm1-log1p-u`
1456×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	163	11
2	2048	11

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1112×	`fma-neg`
906×	`associate-/r*`
780×	`div-sub`
734×	`associate-r`
672×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	1341
1	224	1043
2	662	1043
3	3758	1017

Stop Event

1×	node limit

Counts

41 → 45

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 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (+.f64 1 (log.f64 (*.f64 2 x))) 1)
(-.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) (-.f64 (log.f64 x) (log1p.f64 1))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 1)))) (+.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) (-.f64 (log.f64 x) (log1p.f64 1)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (log.f64 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) (-.f64 (log.f64 x) (log1p.f64 1))))))
(/.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 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (log.f64 x) (log1p.f64 1)))
(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)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2))
(log.f64 (*.f64 2 x))
(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))))
(log1p.f64 (-.f64 (*.f64 2 x) 1))
(fma.f64 1 (log1p.f64 1) (log.f64 x))
(fma.f64 1 (log.f64 x) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))

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

eval145.0ms (2.5%)

Compiler: Compiled 4751 to 3347 computations (29.6% saved)

prune74.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	297	3	300
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	297	6	303

Accurracy

100.0%

Counts

303 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
✓	99.5%	(+.f64 (log.f64 2) (log.f64 x))
▶	98.8%	(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
✓	98.8%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	98.6%	(log.f64 (+.f64 x x))
	3.1%	0

Compiler

Compiled 49 to 37 computations (24.5% saved)

localize31.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(/.f64 1 (log.f64 (/.f64 2 x)))
✓	99.5%	(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
✓	99.2%	(pow.f64 (log.f64 x) 2)
✓	98.4%	(pow.f64 (log1p.f64 1) 2)

Compiler

Compiled 54 to 42 computations (22.2% saved)

series27.0ms (0.5%)

Counts

4 → 32

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	0	(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
7.0ms	x	@	-inf	(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
1.0ms	x	@	inf	(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
1.0ms	x	@	0	(/.f64 1 (log.f64 (/.f64 2 x)))
0.0ms	x	@	inf	(/.f64 1 (log.f64 (/.f64 2 x)))

rewrite102.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1344×	`log-prod`
1076×	`prod-diff`
658×	`fma-def`
650×	`pow-exp`
506×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	82
1	315	82
2	3914	82

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

Inputs
(pow.f64 (log1p.f64 1) 2)
(pow.f64 (log.f64 x) 2)
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (log.f64 (/.f64 2 x)))

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

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1926×	`fma-def`
672×	`associate-*r/`
620×	`div-sub`
390×	`exp-prod`
354×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	6186
1	800	5358
2	2650	5188

Stop Event

1×	node limit

Counts

166 → 182

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(sqrt.f64 (log.f64 x))
✓	99.3%	(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))

Compiler

Compiled 19 to 9 computations (52.6% saved)

series2.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
1.0ms	x	@	inf	(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
0.0ms	x	@	-inf	(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
0.0ms	x	@	-inf	(sqrt.f64 (log.f64 x))
0.0ms	x	@	inf	(sqrt.f64 (log.f64 x))

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`pow1`
1276×	`add-exp-log`
1276×	`log1p-expm1-u`
1276×	`expm1-log1p-u`
1242×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	167	20
2	1793	20

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
(sqrt.f64 (log.f64 x))

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

simplify68.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1210×	`log-prod`
678×	`*-commutative`
660×	`associate-r`
634×	`fma-neg`
626×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1194
1	220	1152
2	669	1148
3	3477	830
4	7967	830

Stop Event

1×	node limit

Counts

60 → 55

Calls

Call 1

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

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

eval115.0ms (2%)

Compiler: Compiled 4874 to 3758 computations (22.9% saved)

prune34.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	263	0	263
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	263	6	269

Accurracy

100.0%

Counts

269 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
✓	99.5%	(+.f64 (log.f64 2) (log.f64 x))
✓	98.8%	(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
✓	98.8%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	98.6%	(log.f64 (+.f64 x x))
	3.1%	0

Compiler

Compiled 49 to 37 computations (24.5% saved)

eval0.0ms (0%)

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

prune3.0ms (0%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Accurracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
✓	99.5%	(+.f64 (log.f64 2) (log.f64 x))
✓	98.8%	(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
✓	98.8%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	98.6%	(log.f64 (+.f64 x x))
	3.1%	0

Compiler

Compiled 49 to 37 computations (24.5% saved)

regimes16.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))

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

Calls

3 calls:

6.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
4.0ms	x
4.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
99.5%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 74 to 50 computations (32.4% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes6.0ms (0.1%)

Accuracy

Total -61.1b remaining (-6748.4%)

Threshold costs -61.1b (-6748.4%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))

Outputs
(log.f64 (+.f64 x x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	20	50
2	26	50
3	30	50
4	33	50
5	34	50

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
0

Outputs
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
0

Compiler

Compiled 22 to 16 computations (27.3% saved)

soundness661.0ms (11.3%)

Rules

1602×	`fma-def`
1602×	`fma-def`
1452×	`fma-neg`
1452×	`fma-neg`
1428×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	3119
1	644	2987
2	1928	2823
3	7306	2823
0	6	11
1	122	11
2	1638	11
0	60	502
1	122	390
2	428	390
3	2652	390
4	5685	390
0	281	3119
1	644	2987
2	1928	2823
3	7306	2823

Stop Event

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

Compiler

Compiled 108 to 71 computations (34.3% saved)

end23.0ms (0.4%)

Compiler: Compiled 19 to 13 computations (31.6% saved)

Details

analyze128.0ms (2.2%)

sample3.0s (50.7%)

preprocess164.0ms (2.8%)

simplify163.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.2%)

series3.0ms (0.1%)

rewrite72.0ms (1.2%)

simplify83.0ms (1.4%)

eval85.0ms (1.5%)

prune32.0ms (0.5%)

localize5.0ms (0.1%)

series56.0ms (1%)

rewrite90.0ms (1.6%)

simplify90.0ms (1.5%)

localize20.0ms (0.3%)

series2.0ms (0%)

rewrite80.0ms (1.4%)

simplify122.0ms (2.1%)

localize8.0ms (0.1%)

series81.0ms (1.4%)

rewrite51.0ms (0.9%)

simplify56.0ms (1%)

eval145.0ms (2.5%)

prune74.0ms (1.3%)

localize31.0ms (0.5%)

series27.0ms (0.5%)

rewrite102.0ms (1.7%)

simplify84.0ms (1.4%)

localize14.0ms (0.2%)

series2.0ms (0%)

rewrite55.0ms (0.9%)

simplify68.0ms (1.2%)

eval115.0ms (2%)

prune34.0ms (0.6%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes16.0ms (0.3%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

simplify6.0ms (0.1%)

soundness661.0ms (11.3%)

end23.0ms (0.4%)

Profiling