Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample669.0ms (23.3%)

Results

657.0ms	8256×	body	256	valid
0.0ms	7×	body	256	invalid

Bogosity

preprocess186.0ms (6.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	15	17
2	22	17
3	34	17
4	51	17
5	79	17
6	126	17
7	348	17
8	734	17
9	1549	17
10	2918	17
11	4603	17
12	5570	17
13	5888	17
14	6174	17
15	6343	17
16	6420	17
17	6687	17
18	7685	17
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify178.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	15	17
2	22	17
3	34	17
4	51	17
5	79	17
6	126	17
7	348	17
8	734	17
9	1549	17
10	2918	17
11	4603	17
12	5570	17
13	5888	17
14	6174	17
15	6343	17
16	6420	17
17	6687	17
18	7685	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accurracy

100.0%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
▶	100.0%	(sqrt.f64 (neg.f64 (fma.f64 x x -1)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize8.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1210×	`pow1`
1112×	`add-exp-log`
1108×	`log1p-expm1-u`
1108×	`expm1-log1p-u`
1086×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	158	13
2	1806	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.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 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (sqrt.f64 -1) (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 (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))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(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)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.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))))

simplify56.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1858×	`fma-def`
1356×	`times-frac`
1194×	`associate-/l*`
814×	`associate-/r*`
570×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1117
1	226	941
2	686	811
3	2296	739

Stop Event

1×	node limit

Counts

33 → 74

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 -1) 2)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 4))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 2))))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 -1) x)) (.f64 (sqrt.f64 -1) x))
(+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 (sqrt.f64 -1) x) (*.f64 -1/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 -1) (pow.f64 x 5))) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 (sqrt.f64 -1) x) (.f64 -1/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (.f64 1/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (.f64 1/2 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (.f64 1/16 (/.f64 (sqrt.f64 -1) (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) x)))))
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.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 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (sqrt.f64 -1) (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 (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))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(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)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.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))))

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

localize6.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`pow1`
1404×	`add-exp-log`
1402×	`log1p-expm1-u`
1402×	`expm1-log1p-u`
1374×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	164	30
2	1986	30

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

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

simplify73.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1080×	`fma-def`
1076×	`div-sub`
880×	`fma-neg`
660×	`cancel-sign-sub-inv`
410×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2071
1	410	1811
2	1416	1673
3	4555	1673

Stop Event

1×	node limit

Counts

79 → 117

Calls

Call 1

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

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

eval54.0ms (1.9%)

Compiler: Compiled 2591 to 1929 computations (25.5% saved)

prune22.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	188	3	191
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	188	5	193

Accurracy

100.0%

Counts

193 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
▶	99.5%	(+.f64 1 (.f64 (.f64 x x) -1/2))
✓	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	100.0%	(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
	1.6%	-1

Compiler

Compiled 35 to 27 computations (22.9% saved)

localize6.0ms (0.2%)

Compiler: Compiled 19 to 10 computations (47.4% saved)

localize12.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 35 to 20 computations (42.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`prod-diff`
936×	`fma-def`
860×	`log-prod`
538×	`pow-prod-down`
486×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	225	40
2	3158	40

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

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

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

simplify86.0ms (3%)

Algorithm

1×	egg-herbie

Rules

784×	`times-frac`
726×	`associate-+r+`
710×	`distribute-lft-in`
690×	`distribute-rgt-in`
652×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	5684
1	756	5472
2	2220	5130

Stop Event

1×	node limit

Counts

158 → 236

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/8 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 -1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (-.f64 (+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (/.f64 -1/8 (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3)))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(neg.f64 (*.f64 x (sqrt.f64 -1)))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(*.f64 (sqrt.f64 -1) (neg.f64 x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (neg.f64 (.f64 x (sqrt.f64 -1))) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(-.f64 (/.f64 -1/2 (.f64 x (sqrt.f64 -1))) (.f64 x (sqrt.f64 -1)))
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(fma.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2) 1 -1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 (.f64 (cbrt.f64 (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2))) (cbrt.f64 (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2)) -1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2)) (sqrt.f64 (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2)) -1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))) 1)
(fma.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))) 1)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 1) 1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))

eval407.0ms (14.2%)

Compiler: Compiled 6144 to 4631 computations (24.6% saved)

prune42.0ms (1.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	351	2	353
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	352	6	358

Accurracy

100.0%

Counts

358 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(-.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) 1)
✓	100.0%	(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
✓	99.5%	(+.f64 1 (.f64 (.f64 x x) -1/2))
✓	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	100.0%	(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
	99.0%	1

Compiler

Compiled 45 to 35 computations (22.2% saved)

localize9.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite83.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`log-prod`
688×	`exp-prod`
604×	`fma-def`
600×	`prod-exp`
518×	`pow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	220	34
2	2778	30

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

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

simplify78.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1540×	`fma-def`
854×	`distribute-lft-in`
832×	`distribute-rgt-in`
644×	`unswap-sqr`
460×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	4251
1	646	4063
2	1835	4051

Stop Event

1×	node limit

Counts

163 → 178

Calls

Call 1

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

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

eval56.0ms (1.9%)

Compiler: Compiled 2615 to 1842 computations (29.6% saved)

prune24.0ms (0.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	178	6	184

Accurracy

100.0%

Counts

184 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(-.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) 1)
✓	100.0%	(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
✓	99.5%	(+.f64 1 (.f64 (.f64 x x) -1/2))
✓	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	100.0%	(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
	99.0%	1

Compiler

Compiled 45 to 35 computations (22.2% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

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

Accurracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(-.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) 1)
✓	100.0%	(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
✓	99.5%	(+.f64 1 (.f64 (.f64 x x) -1/2))
✓	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	100.0%	(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
	99.0%	1

Compiler

Compiled 45 to 35 computations (22.2% saved)

regimes13.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))

Calls

4 calls:

4.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
2.0ms	(-.f64 1 (*.f64 x x))

Results

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

Compiler

Compiled 60 to 40 computations (33.3% saved)

regimes14.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
2.0ms	(-.f64 1 (*.f64 x x))

Results

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

Compiler

Compiled 54 to 36 computations (33.3% saved)

regimes7.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(*.f64 x x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes4.0ms (0.1%)

Accuracy

Total -62.4b remaining (-9858.6%)

Threshold costs -62.4b (-9858.6%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
1

Outputs
1

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	27	55
2	35	55
3	40	55
4	42	55

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

soundness552.0ms (19.2%)

Rules

1858×	`fma-def`
1512×	`pow1`
1468×	`fma-def`
1404×	`add-exp-log`
1402×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	15	17
2	22	17
3	34	17
4	51	17
5	79	17
6	126	17
7	348	17
8	734	17
9	1549	17
10	2918	17
11	4603	17
12	5570	17
13	5888	17
14	6174	17
15	6343	17
16	6420	17
17	6687	17
18	7685	17
0	96	1117
1	226	941
2	686	811
3	2296	739
0	8	30
1	164	30
2	1986	30
0	168	2071
1	410	1811
2	1416	1673
3	4555	1673

Stop Event

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

Compiler

Compiled 137 to 97 computations (29.2% saved)

end26.0ms (0.9%)

Compiler: Compiled 22 to 15 computations (31.8% saved)

Details

analyze3.0ms (0.1%)

sample669.0ms (23.3%)

preprocess186.0ms (6.5%)

simplify178.0ms (6.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite48.0ms (1.7%)

simplify56.0ms (1.9%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite59.0ms (2.1%)

simplify73.0ms (2.6%)

eval54.0ms (1.9%)

prune22.0ms (0.8%)

localize6.0ms (0.2%)

localize12.0ms (0.4%)

series1.0ms (0%)

rewrite76.0ms (2.7%)

simplify86.0ms (3%)

eval407.0ms (14.2%)

prune42.0ms (1.5%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite83.0ms (2.9%)

simplify78.0ms (2.7%)

eval56.0ms (1.9%)

prune24.0ms (0.8%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes13.0ms (0.4%)

regimes14.0ms (0.5%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

simplify6.0ms (0.2%)

soundness552.0ms (19.2%)

end26.0ms (0.9%)

Profiling