Details

analyze148.0ms (3.7%)

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%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.0s (49.2%)

Results

971.0ms	8256×	body	256	valid
884.0ms	7206×	body	256	infinite
92.0ms	1052×	body	256	invalid

Bogosity

preprocess143.0ms (3.6%)

Algorithm

2×	egg-herbie

Rules

1316×	`fma-neg`
1074×	`+-commutative`
1010×	`*-commutative`
776×	`distribute-neg-in`
746×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	21	23
2	25	23
3	40	23
4	84	23
5	177	23
6	348	23
7	794	23
8	3311	23
9	4904	23
10	6285	23
11	7231	23
12	7581	23
13	7779	23
14	7887	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)

simplify143.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1316×	`fma-neg`
1074×	`+-commutative`
1010×	`*-commutative`
776×	`distribute-neg-in`
746×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	21	23
2	25	23
3	40	23
4	84	23
5	177	23
6	348	23
7	794	23
8	3311	23
9	4904	23
10	6285	23
11	7231	23
12	7581	23
13	7779	23
14	7887	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

44.5%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize12.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	48.5%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 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))))
0.0ms	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))

rewrite84.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`*-commutative`
846×	`associate-*r/`
664×	`associate-*l/`
634×	`distribute-lft-in`
612×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	213	55
2	2863	55

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

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

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

Outputs

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simplify104.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1050×	`associate-*r/`
942×	`+-commutative`
890×	`associate-+l+`
832×	`associate-*l/`
820×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	464	8239
1	1153	7443
2	4461	7255

Stop Event

1×	node limit

Counts

187 → 308

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))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.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))) x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 2 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 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.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 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(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 (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 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 1 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/2))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x 1)))
(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) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(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))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 x 1)) 1)
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 1 (.f64 x (-.f64 x x))) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (.f64 x (-.f64 x x))))
(.f64 (/.f64 1 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(.f64 (/.f64 (+.f64 1 (.f64 x (-.f64 x x))) (+.f64 1 (*.f64 x (-.f64 x x)))) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(.f64 (/.f64 (+.f64 1 (.f64 x (-.f64 x x))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (+.f64 (.f64 x x) (+.f64 -1 (.f64 x (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (pow.f64 x 4) (.f64 (fma.f64 x x -1) (.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))))) (-.f64 (.f64 x x) (+.f64 -1 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 -1 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 -1 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (-.f64 (+.f64 -1 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (.f64 x x)))))
(/.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (/.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (sqrt.f64 (+.f64 1 (.f64 x (-.f64 x x)))) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 1 (.f64 x (-.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 x (-.f64 x x)))) (cbrt.f64 (+.f64 1 (.f64 x (-.f64 x x))))) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 1 (.f64 x (-.f64 x x))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (/.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(/.f64 (+.f64 -1 (*.f64 x (-.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2)) (.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3)) (.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (fma.f64 x x -1) 3) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (pow.f64 x 4) (.f64 (fma.f64 x x -1) (+.f64 (*.f64 x x) (fma.f64 x x -1))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x (-.f64 x x))) -1) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 1 (.f64 x (-.f64 x x))))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 1 (.f64 x (-.f64 x x))))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (.f64 (+.f64 -1 (.f64 x (-.f64 x x))) 1) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 x (-.f64 x x))) -1) 1) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 1) (neg.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x (-.f64 x x)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 x (-.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (.f64 x x) (fma.f64 x x -1)))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 x 4) (.f64 (fma.f64 x x -1) (+.f64 (*.f64 x x) (fma.f64 x x -1)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3)) (/.f64 1 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (fma.f64 x x -1) 3) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (/.f64 1 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) 1) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (/.f64 (+.f64 1 (.f64 x (-.f64 x x))) (.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (+.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (sqrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (.f64 (cbrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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))))))
(pow.f64 (exp.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))))))
(neg.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (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 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 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 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (+.f64 0 (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 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(-.f64 (log.f64 (+.f64 1 (*.f64 x (-.f64 x x)))) (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 -1) (*.f64 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 (+.f64 0 (log.f64 (+.f64 1 (*.f64 x (-.f64 x x))))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (+.f64 0 (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 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1)
(*.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 (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 (cbrt.f64 (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)))) 2)))
(*.f64 (cbrt.f64 (pow.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 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(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)))) 3) 1/3)
(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))))))
(log1p.f64 (+.f64 x (-.f64 (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 (.f64 1/2 (.f64 x x)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 x (/.f64 (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 (.f64 1/2 (.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))))
(+.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 (.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (/.f64 (.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))))
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 (/.f64 -1/2 x) (-.f64 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 (-.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(-.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 (/.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)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x))
(+.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))) x)))
(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)) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (+.f64 x (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (.f64 2 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 (-.f64 (*.f64 x 2) (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 5/128 (pow.f64 x 7)))))
(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 (.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)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (+.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)) (+.f64 (/.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))))))
(+.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 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 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.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 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 x) (-.f64 (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))) (+.f64 (/.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)))))
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(*.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 (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 (cbrt.f64 (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)))) 2)))
(*.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(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 (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))))
(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)))) 3) 1/3)
(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))
(fabs.f64 (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))))
(log1p.f64 (+.f64 x (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))
(log1p.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)))
(log1p.f64 (+.f64 x (+.f64 -1 (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))

eval120.0ms (3%)

Compiler: Compiled 6432 to 4555 computations (29.2% saved)

prune43.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	305	3	308
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	305	4	309

Accurracy

100.0%

Counts

309 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.5%	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))
▶	99.1%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	44.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	98.5%	(log.f64 (+.f64 x x))

Compiler

Compiled 35 to 24 computations (31.4% saved)

localize5.0ms (0.1%)

Compiler: Compiled 9 to 3 computations (66.7% saved)

localize11.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 26 to 16 computations (38.5% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`associate-*r/`
958×	`*-commutative`
956×	`associate-*l/`
762×	`distribute-lft-in`
582×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	204	42
2	2870	42

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

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

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

simplify99.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1708×	`associate-*r/`
1290×	`associate-+r+`
900×	`+-commutative`
518×	`associate--r+`
492×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	7184
1	1122	6162
2	4878	6106

Stop Event

1×	node limit

Counts

148 → 230

Calls

Call 1

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

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

localize16.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x))
✓	48.5%	(sqrt.f64 (fma.f64 x x -1))

Compiler

Compiled 34 to 22 computations (35.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite81.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`associate-*r/`
948×	`*-commutative`
804×	`distribute-lft-in`
774×	`distribute-rgt-in`
732×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	216	38
2	2855	38

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 x x -1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x))

Outputs

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

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

simplify101.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1306×	`associate-*r/`
1284×	`associate-+r+`
1032×	`associate-*l/`
912×	`+-commutative`
518×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	349	7522
1	997	7278
2	4276	7278

Stop Event

1×	node limit

Counts

134 → 246

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

eval252.0ms (6.3%)

Compiler: Compiled 12207 to 8593 computations (29.6% saved)

prune71.0ms (1.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	474	2	476
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	474	6	480

Accurracy

100.0%

Counts

480 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.5%	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))
▶	0.0%	(log1p.f64 -1)
▶	99.1%	(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
✓	99.1%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	44.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.5%	(log.f64 (+.f64 x x))

Compiler

Compiled 51 to 37 computations (27.5% saved)

localize18.0ms (0.5%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 49 to 29 computations (40.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite109.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`*-commutative`
760×	`associate-/r*`
516×	`associate-/r/`
514×	`distribute-lft-in`
436×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	270	25
2	3743	25

Stop Event

1×	node limit

Counts

3 → 717

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

374×	`*-commutative`
352×	`+-commutative`
220×	`sub-neg`
188×	`associate-*l/`
120×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	859	781
1	3221	781

Stop Event

1×

unsound

Counts

753 → 433

Calls

Call 1

Inputs
(/.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 -2 x)
(+.f64 (.f64 -2 x) (.f64 -8 (pow.f64 x 3)))
(+.f64 (.f64 -2 x) (+.f64 (.f64 -32 (pow.f64 x 5)) (*.f64 -8 (pow.f64 x 3))))
(+.f64 (.f64 -128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 -32 (pow.f64 x 5)) (.f64 -8 (pow.f64 x 3)))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/128 (/.f64 1 (pow.f64 x 7))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
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(+.f64 (-.f64 0 (log.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (fma.f64 x x 0)))
(+.f64 (-.f64 0 (log.f64 0)) (log.f64 0))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x))))) 1)
(+.f64 (.f64 -1 (log.f64 2)) (.f64 -1 (log.f64 x)))
(+.f64 (.f64 (log.f64 2) -1) (.f64 (log.f64 x) -1))
(-.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (-.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 1/2) (-.f64 (log.f64 (neg.f64 x)) (log.f64 (+.f64 x x))))
(-.f64 0 (log.f64 (+.f64 x x)))
(-.f64 (log.f64 -1) (log.f64 (+.f64 x x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (-.f64 (log.f64 (fma.f64 x x 0)) (log.f64 (+.f64 x x))))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (+.f64 (log.f64 (fma.f64 x x 0)) (log.f64 (+.f64 x x))))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 0) (-.f64 (log.f64 0) (log.f64 (+.f64 x x))))
(-.f64 (log.f64 0) (+.f64 (log.f64 0) (log.f64 (+.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) (+.f64 1 (log.f64 (+.f64 x x))))
(-.f64 (+.f64 0 (log.f64 -1/2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 -1/2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 -1)) (log.f64 (+.f64 x x)))
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (fma.f64 x x 0)))
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 0)) (log.f64 0))
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (exp.f64 (log1p.f64 (log.f64 (+.f64 x x))))) 1)
(-.f64 (+.f64 0 (log.f64 -1)) (log.f64 (+.f64 x x)))
(-.f64 (+.f64 0 (log.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (fma.f64 x x 0)))
(-.f64 (+.f64 0 (log.f64 0)) (log.f64 0))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x))))) 1)
(-.f64 (+.f64 0 (log.f64 1/2)) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 1/2)) (log.f64 (neg.f64 x)))
(-.f64 (-.f64 (log.f64 (+.f64 x x)) (log.f64 2)) (log.f64 x))
(-.f64 (-.f64 (log.f64 (+.f64 x x)) 0) (log.f64 (+.f64 x x)))
(-.f64 (-.f64 0 (log.f64 2)) (log.f64 x))
(-.f64 (-.f64 (log.f64 -1/2) 0) (log.f64 x))
(-.f64 (-.f64 (log.f64 -1/2) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (-.f64 (log.f64 -1/2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (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 (log.f64 (+.f64 x x)) 1)
(*.f64 (log.f64 (+.f64 x x)) -1)
(*.f64 2 (log.f64 (+.f64 x x)))
(*.f64 -1 (log.f64 (+.f64 x x)))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2))) (log.f64 (+.f64 x x)))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 3))) (+.f64 (pow.f64 (log.f64 (+.f64 x x)) 2) 0))
(/.f64 (log.f64 (+.f64 x x)) 1)
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (log.f64 (+.f64 x x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 x x)) 2) 0))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) 1) (log.f64 (+.f64 x x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (sqrt.f64 (log.f64 (+.f64 x x)))) (sqrt.f64 (log.f64 (+.f64 x x))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (cbrt.f64 (log.f64 (+.f64 x x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2)) (cbrt.f64 (log.f64 (+.f64 x x))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) -1) (log.f64 (+.f64 x x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
(pow.f64 (log.f64 (+.f64 x x)) 1)
(neg.f64 (log.f64 (+.f64 x x)))
(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 -1/2 x)
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(*.f64 2 x)
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(*.f64 2 x)
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(*.f64 -2 x)
-2
(+.f64 (.f64 -2 x) (.f64 -8 (pow.f64 x 3)))
-2
(+.f64 (.f64 -2 x) (+.f64 (.f64 -32 (pow.f64 x 5)) (*.f64 -8 (pow.f64 x 3))))
-2
(+.f64 (.f64 -128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 -32 (pow.f64 x 5)) (.f64 -8 (pow.f64 x 3)))))
-2
(/.f64 1/2 x)
-2
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
1/8
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
5/32
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/128 (/.f64 1 (pow.f64 x 7))))))
21/128
(/.f64 1/2 x)
-2
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
1/8
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
5/32
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/128 (/.f64 1 (pow.f64 x 7))))))
21/128
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
-2
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
-2
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
-2
(+.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))))))
-2
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
-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)))))
-1/32
(-.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))))))
-7/192
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
-2
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
-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)))))
-1/32
(-.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))))))
-7/192
(+.f64 x x)
-2
(+.f64 x (+.f64 x (+.f64 x x)))
-2
(+.f64 x (+.f64 (+.f64 x (+.f64 x x)) (+.f64 x x)))
-2
(+.f64 x (+.f64 x (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
-2
(+.f64 x (+.f64 (+.f64 x (+.f64 x x)) (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
-2
(+.f64 x (+.f64 x (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
-2
(+.f64 x (+.f64 (+.f64 x (+.f64 x x)) (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
-2
(+.f64 x (-.f64 x (+.f64 x x)))
-2
(+.f64 x (-.f64 (+.f64 x (+.f64 x x)) (+.f64 x x)))
-2
(+.f64 (+.f64 x x) (+.f64 x x))
-2
(+.f64 (+.f64 x x) (fma.f64 (+.f64 x x) 1 (+.f64 x x)))
-2
(+.f64 (+.f64 x x) (fma.f64 (neg.f64 x) 2 (+.f64 x x)))
-2
(+.f64 (+.f64 x x) (+.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (+.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (+.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (+.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (-.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) (+.f64 x x)))
-2
(+.f64 (+.f64 x x) (-.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) (+.f64 x x)))
-2
(+.f64 (+.f64 x x) (*.f64 (+.f64 x x) (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 (+.f64 x x) (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 x (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 x (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 (+.f64 x (+.f64 x x)) (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 (+.f64 x (+.f64 x x)) (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 -1 (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 -1 (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 (/.f64 1 x) (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 1 (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 1 (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 1/2 (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 1/2 (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 -1/2 (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 -1/2 (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) (+.f64 x x)))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) (+.f64 x x)))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) x))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) x))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) (+.f64 x (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) (+.f64 x (+.f64 x x))))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) -1))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) -1))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) (/.f64 1 x)))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) (/.f64 1 x)))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) 1))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) 1))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) 1/2))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) 1/2))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) -1/2))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) -1/2))
-2
(+.f64 (.f64 x x) (.f64 x x))
-2
(+.f64 (.f64 x x) (.f64 x (+.f64 x (+.f64 x x))))
-2
(+.f64 (+.f64 x (+.f64 x x)) x)
-2
(+.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x)))
-2
(+.f64 (+.f64 x (+.f64 x x)) (+.f64 x (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
-2
(+.f64 (+.f64 x (+.f64 x x)) (+.f64 x (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
-2
(+.f64 (+.f64 x (+.f64 x x)) (-.f64 x (+.f64 x x)))
-2
(+.f64 (neg.f64 x) (neg.f64 x))
-2
(+.f64 (neg.f64 x) (neg.f64 (+.f64 x (+.f64 x x))))
-2
(+.f64 (neg.f64 x) (*.f64 -1 (+.f64 x (+.f64 x x))))
-2
(+.f64 (neg.f64 x) (*.f64 (+.f64 x (+.f64 x x)) -1))
-2
(+.f64 (.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))) (.f64 x (+.f64 x (+.f64 x x))))
-2
(+.f64 (neg.f64 (+.f64 x (+.f64 x x))) (neg.f64 x))
-2
(+.f64 (neg.f64 (+.f64 x (+.f64 x x))) (+.f64 (neg.f64 x) (+.f64 x x)))
-2
(+.f64 (.f64 x (+.f64 x (+.f64 x x))) (.f64 x x))
-2
(+.f64 (.f64 x (+.f64 x (+.f64 x x))) (.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))))
-2
(+.f64 (.f64 x (+.f64 x (+.f64 x x))) (.f64 x (+.f64 x (+.f64 x x))))
-2
(+.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) (+.f64 x x))
-2
(+.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) (+.f64 x x))
-2
(+.f64 (+.f64 (+.f64 x x) (neg.f64 (+.f64 x (+.f64 x x)))) (neg.f64 x))
-2
(+.f64 (+.f64 (+.f64 x x) (+.f64 x (+.f64 x x))) x)
-2
(+.f64 (-.f64 (+.f64 x x) (exp.f64 (log1p.f64 (+.f64 x x)))) 1)
-2
(+.f64 (-.f64 (+.f64 x x) (-.f64 (+.f64 x x) x)) x)
-2
(+.f64 (-.f64 (+.f64 x x) (/.f64 x (/.f64 0 x))) (/.f64 x (/.f64 0 x)))
-2
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (+.f64 x x)))) 1)
-2
(+.f64 (-.f64 0 (-.f64 (+.f64 x x) x)) x)
-2
(+.f64 (-.f64 0 (/.f64 x (/.f64 0 x))) (/.f64 x (/.f64 0 x)))
-2
(+.f64 (-.f64 (-.f64 (+.f64 x x) x) (exp.f64 (log1p.f64 x))) 1)
-2
(+.f64 (*.f64 (+.f64 x x) (neg.f64 (+.f64 x (+.f64 x x)))) (+.f64 x x))
-2
(+.f64 (*.f64 1 (neg.f64 (+.f64 x (+.f64 x x)))) (neg.f64 x))
-2
(+.f64 (*.f64 -1 (+.f64 x (+.f64 x x))) (neg.f64 x))
-2
(+.f64 (.f64 (/.f64 1 x) x) (.f64 (/.f64 1 x) x))
-2
(+.f64 (.f64 (/.f64 1 x) x) (.f64 (/.f64 1 x) (+.f64 x (+.f64 x x))))
-2
(+.f64 (.f64 (/.f64 1 x) (+.f64 x (+.f64 x x))) (.f64 (/.f64 1 x) x))
-2
(+.f64 (.f64 -1 (neg.f64 (+.f64 x (+.f64 x x)))) (.f64 -1 (neg.f64 x)))
-2
(+.f64 (.f64 1/2 x) (.f64 1/2 x))
-2
(+.f64 (.f64 1/2 x) (.f64 1/2 (+.f64 x (+.f64 x x))))
-2
(+.f64 (.f64 1/2 (+.f64 x (+.f64 x x))) (.f64 1/2 x))
-2
(+.f64 (.f64 -1/2 x) (.f64 -1/2 x))
-2
(+.f64 (.f64 -1/2 x) (.f64 -1/2 (+.f64 x (+.f64 x x))))
-2
(+.f64 (.f64 -1/2 (+.f64 x (+.f64 x x))) (.f64 -1/2 x))
-2
(+.f64 (*.f64 (neg.f64 (+.f64 x (+.f64 x x))) (+.f64 x x)) (+.f64 x x))
-2
(+.f64 (*.f64 (neg.f64 (+.f64 x (+.f64 x x))) 1) (neg.f64 x))
-2
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-2
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(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (log.f64 (+.f64 x x)))
-2
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 x x)) 2) 0))
-2
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) 1) (log.f64 (+.f64 x x)))
-2
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (sqrt.f64 (log.f64 (+.f64 x x)))) (sqrt.f64 (log.f64 (+.f64 x x))))
-2
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (cbrt.f64 (log.f64 (+.f64 x x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2))
-2
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2)) (cbrt.f64 (log.f64 (+.f64 x x))))
-2
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) -1) (log.f64 (+.f64 x x)))
-2
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
-2
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
-2
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
-2
(pow.f64 (log.f64 (+.f64 x x)) 1)
-2
(neg.f64 (log.f64 (+.f64 x x)))
-2
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
-2
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
-2
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
-2
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
-2
(log1p.f64 (-.f64 (+.f64 x x) 1))
(log1p.f64 -2)

localize2.0ms (0.1%)

Compiler: Compiled 4 to 4 computations (0% saved)

eval89.0ms (2.2%)

Compiler: Compiled 5431 to 2873 computations (47.1% saved)

prune64.0ms (1.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	431	2	433
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	432	7	439

Accurracy

100.0%

Counts

439 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.5%	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))
✓	99.1%	(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
▶	14.4%	(log.f64 (/.f64 1 21/128))
✓	99.1%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	44.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.5%	(log.f64 (+.f64 x x))
	1.6%	-1/32

Compiler

Compiled 55 to 41 computations (25.5% saved)

localize8.0ms (0.2%)

Compiler: Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	5	5
Total	7	7

Accurracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.5%	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))
✓	99.1%	(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
✓	14.4%	(log.f64 (/.f64 1 21/128))
✓	99.1%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	44.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.5%	(log.f64 (+.f64 x x))
	1.6%	-1/32

Compiler

Compiled 55 to 41 computations (25.5% saved)

regimes16.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

Inputs
-1/32
(log1p.f64 -1)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 1 21/128))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
99.1%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
-1/32
(log1p.f64 -1)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 1 21/128))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.0b remaining (-1.6%)

Threshold costs -1b (-1.6%)

Counts

2 → 1

Calls

Call 1

Inputs
-1/32
(log1p.f64 -1)

Outputs
-1/32

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
4×	`sub-neg`
2×	`neg-mul-1`
2×	`distribute-neg-frac`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	15	35
2	23	35
3	25	35
4	26	35

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
-1/32

Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 x x))
-1/32

Compiler

Compiled 16 to 11 computations (31.3% saved)

soundness74.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1050×	`associate-*r/`
942×	`+-commutative`
890×	`associate-+l+`
832×	`associate-*l/`
820×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	464	8239
1	1153	7443
2	4461	7255

Stop Event

1×	node limit

Compiler

Compiled 29 to 20 computations (31% saved)

end20.0ms (0.5%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

Details

analyze148.0ms (3.7%)

sample2.0s (49.2%)

preprocess143.0ms (3.6%)

simplify143.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.3%)

series3.0ms (0.1%)

rewrite84.0ms (2.1%)

simplify104.0ms (2.6%)

eval120.0ms (3%)

prune43.0ms (1.1%)

localize5.0ms (0.1%)

localize11.0ms (0.3%)

series3.0ms (0.1%)

rewrite79.0ms (2%)

simplify99.0ms (2.5%)

localize16.0ms (0.4%)

series2.0ms (0%)

rewrite81.0ms (2%)

simplify101.0ms (2.5%)

eval252.0ms (6.3%)

prune71.0ms (1.8%)

localize18.0ms (0.5%)

series2.0ms (0%)

rewrite109.0ms (2.7%)

simplify88.0ms (2.2%)

localize2.0ms (0.1%)

eval89.0ms (2.2%)

prune64.0ms (1.6%)

localize8.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes16.0ms (0.4%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify5.0ms (0.1%)

soundness74.0ms (1.9%)

end20.0ms (0.5%)

Profiling