Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.3s (38.7%)

Results

1.3s	8256×	body	256	valid
3.0ms	31×	body	256	invalid

Bogosity

preprocess226.0ms (6.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify189.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

100.0%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize20.0ms (0.6%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
1.0ms	x	@	inf	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0ms	x	@	0	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

rewrite62.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1872×	`pow1`
1740×	`add-exp-log`
1738×	`log1p-expm1-u`
1738×	`expm1-log1p-u`
1704×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	189	23
2	2418	23

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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

simplify71.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1032×	`associate-r`
1024×	`log-prod`
954×	`associate-l`
688×	`fma-neg`
482×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1719
1	334	1521
2	1069	1359
3	5319	1359

Stop Event

1×	node limit

Counts

43 → 81

Calls

Call 1

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

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

eval370.0ms (10.8%)

Compiler: Compiled 1679 to 1238 computations (26.3% saved)

prune10.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	3	82

Accurracy

100.0%

Counts

82 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 36 to 27 computations (25% saved)

localize364.0ms (10.6%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 40 to 29 computations (27.5% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite107.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`log-prod`
986×	`fma-def`
738×	`pow-prod-down`
538×	`pow-exp`
520×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	236	58
2	3268	58

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

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

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

simplify117.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1618×	`fma-def`
906×	`unswap-sqr`
880×	`distribute-rgt-in`
854×	`distribute-lft-in`
458×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	404	7188
1	965	7002
2	2699	6410

Stop Event

1×	node limit

Counts

168 → 250

Calls

Call 1

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

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

localize9.0ms (0.3%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

eval172.0ms (5%)

Compiler: Compiled 5760 to 4288 computations (25.6% saved)

prune32.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	248	2	250
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	250	3	253

Accurracy

100.0%

Counts

253 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

localize18.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`log-prod`
652×	`fma-def`
642×	`pow-prod-down`
642×	`prod-exp`
520×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	249	19
2	3052	19

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

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

simplify77.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1148×	`fma-neg`
936×	`fma-def`
918×	`associate-r`
858×	`associate-l`
786×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	2085
1	404	1999
2	1209	1941
3	5902	1889

Stop Event

1×	node limit

Counts

53 → 114

Calls

Call 1

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

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

localize6.0ms (0.2%)

Compiler: Compiled 10 to 7 computations (30% saved)

eval38.0ms (1.1%)

Compiler: Compiled 2002 to 1529 computations (23.6% saved)

prune16.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	114	3	117

Accurracy

100.0%

Counts

117 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes38.0ms (1.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	x
4.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
4.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Results

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

Compiler

Compiled 77 to 56 computations (27.3% saved)

regimes4.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	79
1	31	79
2	38	79
3	42	79
4	44	79

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

soundness0.0ms (0%)

end70.0ms (2%)

Compiler: Compiled 84 to 62 computations (26.2% saved)

Details

analyze3.0ms (0.1%)

sample1.3s (38.7%)

preprocess226.0ms (6.6%)

simplify189.0ms (5.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (0.6%)

series4.0ms (0.1%)

rewrite62.0ms (1.8%)

simplify71.0ms (2.1%)

eval370.0ms (10.8%)

prune10.0ms (0.3%)

localize364.0ms (10.6%)

series3.0ms (0.1%)

rewrite107.0ms (3.1%)

simplify117.0ms (3.4%)

localize9.0ms (0.3%)

eval172.0ms (5%)

prune32.0ms (0.9%)

localize18.0ms (0.5%)

series1.0ms (0%)

rewrite70.0ms (2%)

simplify77.0ms (2.2%)

localize6.0ms (0.2%)

eval38.0ms (1.1%)

prune16.0ms (0.5%)

regimes38.0ms (1.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify6.0ms (0.2%)

soundness0.0ms (0%)

end70.0ms (2%)

Profiling