Metrics for Hyperbolic secant

analyze0.0ms (0%)

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
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 10 to 8 computations (20% saved)

sample724.0ms (29.4%)

Results

713.0ms

8256×

body

256

valid

Bogosity

preprocess92.0ms (3.7%)

Algorithm

2×	egg-herbie

Rules

1992×	`fma-def`
868×	`unswap-sqr`
716×	`fabs-mul`
616×	`exp-prod`
544×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	17	25
2	23	25
3	30	25
4	50	25
5	90	25
6	187	25
7	431	25
8	1161	25
9	2951	25
10	4139	25
11	5311	25
12	6994	25
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify85.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1992×	`fma-def`
868×	`unswap-sqr`
716×	`fabs-mul`
616×	`exp-prod`
544×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	17	25
2	23	25
3	30	25
4	50	25
5	90	25
6	187	25
7	431	25
8	1161	25
9	2951	25
10	4139	25
11	5311	25
12	6994	25

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

100.0%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize27.0ms (1.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 25 to 9 computations (64% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	inf	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	0	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite36.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

222×	`add-sqr-sqrt`
210×	`add-exp-log`
210×	`pow1`
210×	`*-un-lft-identity`
208×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	216	17
2	3340	17

Stop Event

1×

unsound

Counts

1 → 18

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
-8
-4
-2
-1
-1/2
0
1/2
1
3/2
2
3
4
8
9
16
27
64
512
x

simplify79.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1444×	`fma-def`
798×	`distribute-lft-out`
694×	`distribute-lft-in`
652×	`*-commutative`
572×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	318
1	80	314
2	144	310
3	365	306
4	1267	306
5	3171	306
6	4352	306
7	7244	306

Stop Event

1×	node limit

Counts

30 → 33

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 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
-8
-4
-2
-1
-1/2
0
1/2
1
3/2
2
3
4
8
9
16
27
64
512

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 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 5/24 (pow.f64 x 4) (.f64 -61/720 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 -61/720 (pow.f64 x 6) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) (fma.f64 -61/720 (pow.f64 x 6) 1)))
(fma.f64 x (*.f64 x (fma.f64 (pow.f64 x 4) -61/720 -1/2)) (fma.f64 5/24 (pow.f64 x 4) 1))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2)) (fma.f64 -61/720 (pow.f64 x 6) 1))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
-8
-4
-2
-1
-1/2
0
1/2
1
3/2
2
3
4
8
9
16
27
64
512

eval6.0ms (0.2%)

Compiler: Compiled 210 to 157 computations (25.2% saved)

prune7.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	5	34

Accurracy

100.0%

Counts

34 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	51.4%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	51.7%	1
	11.1%	1/2
	50.4%	0
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	51.4%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	51.7%	1
	11.1%	1/2
	50.4%	0

Compiler

Compiled 46 to 38 computations (17.4% saved)

localize27.0ms (1.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`pow1`
1434×	`add-exp-log`
1432×	`log1p-expm1-u`
1432×	`expm1-log1p-u`
1410×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	165	15
2	2006	15

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

simplify51.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1534×	`times-frac`
708×	`associate-r`
656×	`associate-l`
654×	`fma-neg`
526×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	1127
1	202	1003
2	615	979
3	3138	979

Stop Event

1×	node limit

Counts

45 → 43

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

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

eval11.0ms (0.4%)

Compiler: Compiled 553 to 394 computations (28.8% saved)

prune8.0ms (0.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	42	6	48

Accurracy

100.0%

Counts

48 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	50.9%	(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
✓	51.4%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	51.7%	1
	11.1%	1/2
	50.4%	0
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	50.9%	(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
✓	51.4%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	51.7%	1
	11.1%	1/2
	50.4%	0

Compiler

Compiled 82 to 68 computations (17.1% saved)

localize72.0ms (2.9%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
✓	62.0%	(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)))

Compiler

Compiled 69 to 49 computations (29% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
0.0ms	x	@	inf	(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)))
0.0ms	x	@	0	(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
0.0ms	x	@	0	(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)))
0.0ms	x	@	-inf	(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)))

rewrite87.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`log-prod`
1014×	`fma-def`
648×	`pow-exp`
516×	`expm1-udef`
510×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	92
1	334	44
2	4373	44

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (*.f64 x x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))))) 1)
(.f64 1 (/.f64 1 (+.f64 1 (.f64 -1/2 (*.f64 x x)))))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 1 (fma.f64 (pow.f64 x 4) -1/4 1)))
(.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (*.f64 x x)))) 1)
(.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))))) 2))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) (/.f64 1 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (*.f64 x x))))))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (/.f64 1 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (neg.f64 (fma.f64 1/2 (.f64 x x) 1)) (/.f64 1 (neg.f64 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 4) -1/4 1)) (fma.f64 1/2 (.f64 x x) 1))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 2)) (/.f64 (fma.f64 1/2 (.f64 x x) 1) (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1))) (/.f64 (fma.f64 1/2 (.f64 x x) 1) (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1)) (fma.f64 (pow.f64 x 4) -1/4 1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2) (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1))) (/.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1)) (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) 1) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (fma.f64 (pow.f64 x 4) -1/4 1)))
(.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) (-.f64 1 (.f64 1/64 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/16 (pow.f64 x 8)))))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) (-.f64 1 (*.f64 1/16 (pow.f64 x 8)))) (fma.f64 (pow.f64 x 4) 1/4 1))
(pow.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 1)
(pow.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2)
(pow.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 1) -1)
(neg.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) (neg.f64 (fma.f64 (pow.f64 x 4) -1/4 1))))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) (pow.f64 (fma.f64 (pow.f64 x 4) -1/4 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))))
(exp.f64 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 -1/2 (*.f64 x x)))) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 1) 1))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (*.f64 x x))) -1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) -1) -1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))) 1) -1))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))))
(+.f64 1 (neg.f64 (.f64 1/2 (.f64 x x))))
(+.f64 1 (.f64 -1 (.f64 1/2 (*.f64 x x))))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(+.f64 1 (.f64 (neg.f64 (.f64 x x)) 1/2))
(+.f64 1 (.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (.f64 1/2 (.f64 x x)))))
(+.f64 1 (.f64 (neg.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(+.f64 1 (.f64 (neg.f64 (.f64 1/2 x)) x))
(+.f64 0 (+.f64 1 (.f64 -1/2 (.f64 x x))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (.f64 (.f64 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))))
(+.f64 (.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) 1) (.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (*.f64 (pow.f64 x 4) -1/4)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) (cbrt.f64 (exp.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))))))
(-.f64 1 (.f64 1/2 (.f64 x x)))
(-.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (*.f64 x x) 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 1)
(.f64 1 (+.f64 1 (.f64 -1/2 (*.f64 x x))))
(.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) 1)
(.f64 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 2) (cbrt.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))) (sqrt.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x)))))
(.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 1 (.f64 -1/2 (*.f64 x x))))))
(.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (fma.f64 (pow.f64 x 4) -1/4 1))
(.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (/.f64 1 (/.f64 1 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2)) (/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1))))
(.f64 (/.f64 1 (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) (/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (fma.f64 1/2 (.f64 x x) 1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2)) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 2) (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (fma.f64 1/2 (.f64 x x) 1)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(.f64 (.f64 (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1)) 1) (fma.f64 (pow.f64 x 4) -1/4 1))
(.f64 (.f64 (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)))
(.f64 (.f64 (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1)) (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1))) (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)))
(.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2)) (cbrt.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 (pow.f64 x 6) 1/8 1)) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 -1/2 (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 (pow.f64 x 4) -1/4 1)) (+.f64 1 (.f64 -1/2 (*.f64 x x))))
(.f64 (/.f64 1 (neg.f64 (fma.f64 1/2 (.f64 x x) 1))) (neg.f64 (fma.f64 (pow.f64 x 4) -1/4 1)))
(pow.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) -1)
(pow.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 2)
(pow.f64 (neg.f64 (/.f64 -1 (+.f64 1 (.f64 -1/2 (.f64 x x))))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 2))
(log.f64 (exp.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/4 1) 3) (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))))
(exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 -1/2 (*.f64 x x)))) -1))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (*.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 1) -1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) -1) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))))
(fma.f64 1 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (.f64 (.f64 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))))
(fma.f64 1 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (neg.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (*.f64 x x) 1))))
(fma.f64 (/.f64 1 (fma.f64 (pow.f64 x 4) -1/4 1)) (+.f64 1 (.f64 -1/2 (.f64 x x))) (.f64 (.f64 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))))
(fma.f64 (/.f64 1 (fma.f64 (pow.f64 x 4) -1/4 1)) (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (.f64 x x) 1))))
(fma.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) 1 (.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (.f64 (.f64 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))))
(fma.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (neg.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (.f64 x x) 1))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (sqrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (.f64 (.f64 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (sqrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (neg.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (.f64 x x) 1))))
(fma.f64 (/.f64 1 (fma.f64 (pow.f64 x 6) 1/8 1)) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 -1/2 (.f64 x x)))) (.f64 (.f64 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))))
(fma.f64 (/.f64 1 (fma.f64 (pow.f64 x 6) 1/8 1)) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 -1/2 (.f64 x x)))) (neg.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (.f64 x x) 1))))

simplify74.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1868×	`fma-def`
960×	`unswap-sqr`
950×	`distribute-lft-in`
942×	`distribute-rgt-in`
338×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	4764
1	834	4290
2	2610	4172

Stop Event

1×	node limit

Counts

142 → 190

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 1/4 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 6)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))))
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)))
(+.f64 0 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (*.f64 x x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))))) 1)
(.f64 1 (/.f64 1 (+.f64 1 (.f64 -1/2 (*.f64 x x)))))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 1 (fma.f64 (pow.f64 x 4) -1/4 1)))
(.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (*.f64 x x)))) 1)
(.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))))) 2))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) (/.f64 1 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (*.f64 x x))))))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (/.f64 1 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (neg.f64 (fma.f64 1/2 (.f64 x x) 1)) (/.f64 1 (neg.f64 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 4) -1/4 1)) (fma.f64 1/2 (.f64 x x) 1))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 2)) (/.f64 (fma.f64 1/2 (.f64 x x) 1) (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1))) (/.f64 (fma.f64 1/2 (.f64 x x) 1) (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1)) (fma.f64 (pow.f64 x 4) -1/4 1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2) (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1))) (/.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1)) (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) 1) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (fma.f64 (pow.f64 x 4) -1/4 1)))
(.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) (-.f64 1 (.f64 1/64 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/16 (pow.f64 x 8)))))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) (-.f64 1 (*.f64 1/16 (pow.f64 x 8)))) (fma.f64 (pow.f64 x 4) 1/4 1))
(pow.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 1)
(pow.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2)
(pow.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 1) -1)
(neg.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) (neg.f64 (fma.f64 (pow.f64 x 4) -1/4 1))))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) (pow.f64 (fma.f64 (pow.f64 x 4) -1/4 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))))
(exp.f64 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 -1/2 (*.f64 x x)))) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 1) 1))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (*.f64 x x))) -1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) -1) -1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))) 1) -1))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))))
(+.f64 1 (neg.f64 (.f64 1/2 (.f64 x x))))
(+.f64 1 (.f64 -1 (.f64 1/2 (*.f64 x x))))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(+.f64 1 (.f64 (neg.f64 (.f64 x x)) 1/2))
(+.f64 1 (.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (.f64 1/2 (.f64 x x)))))
(+.f64 1 (.f64 (neg.f64 (.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(+.f64 1 (.f64 (neg.f64 (.f64 1/2 x)) x))
(+.f64 0 (+.f64 1 (.f64 -1/2 (.f64 x x))))
(+.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (.f64 (.f64 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))))
(+.f64 (.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) 1) (.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (*.f64 (pow.f64 x 4) -1/4)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) (cbrt.f64 (exp.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))))))
(-.f64 1 (.f64 1/2 (.f64 x x)))
(-.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (*.f64 x x) 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 1)
(.f64 1 (+.f64 1 (.f64 -1/2 (*.f64 x x))))
(.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)))
(.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) 1)
(.f64 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 2) (cbrt.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))) (sqrt.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x)))))
(.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 1 (.f64 -1/2 (*.f64 x x))))))
(.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (fma.f64 (pow.f64 x 4) -1/4 1))
(.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (/.f64 1 (/.f64 1 (fma.f64 (pow.f64 x 4) -1/4 1))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2)) (/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1))))
(.f64 (/.f64 1 (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) (/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (fma.f64 1/2 (.f64 x x) 1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2)) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 2) (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (fma.f64 1/2 (.f64 x x) 1)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(.f64 (.f64 (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1)) 1) (fma.f64 (pow.f64 x 4) -1/4 1))
(.f64 (.f64 (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)))
(.f64 (.f64 (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1)) (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1))) (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 1)))
(.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))) 2)) (cbrt.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 (pow.f64 x 6) 1/8 1)) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 -1/2 (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 (pow.f64 x 4) -1/4 1)) (+.f64 1 (.f64 -1/2 (*.f64 x x))))
(.f64 (/.f64 1 (neg.f64 (fma.f64 1/2 (.f64 x x) 1))) (neg.f64 (fma.f64 (pow.f64 x 4) -1/4 1)))
(pow.f64 (/.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) -1)
(pow.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 2)
(pow.f64 (neg.f64 (/.f64 -1 (+.f64 1 (.f64 -1/2 (.f64 x x))))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 2))
(log.f64 (exp.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/4 1) 3) (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))))
(exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 -1/2 (*.f64 x x)))) -1))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (*.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 1) -1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) -1) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (.f64 -1/2 (.f64 x x)))))
(fma.f64 1 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (.f64 (.f64 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))))
(fma.f64 1 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (neg.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (*.f64 x x) 1))))
(fma.f64 (/.f64 1 (fma.f64 (pow.f64 x 4) -1/4 1)) (+.f64 1 (.f64 -1/2 (.f64 x x))) (.f64 (.f64 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))))
(fma.f64 (/.f64 1 (fma.f64 (pow.f64 x 4) -1/4 1)) (+.f64 1 (.f64 -1/2 (.f64 x x))) (neg.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (.f64 x x) 1))))
(fma.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) 1 (.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)) (.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (.f64 (.f64 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))))
(fma.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (neg.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (.f64 x x) 1))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (sqrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (.f64 (.f64 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (sqrt.f64 (/.f64 1 (fma.f64 1/2 (.f64 x x) 1))) (neg.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (.f64 x x) 1))))
(fma.f64 (/.f64 1 (fma.f64 (pow.f64 x 6) 1/8 1)) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 -1/2 (.f64 x x)))) (.f64 (.f64 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))))
(fma.f64 (/.f64 1 (fma.f64 (pow.f64 x 6) 1/8 1)) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 -1/2 (.f64 x x)))) (neg.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 1/2 (.f64 x x) 1))))

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

eval75.0ms (3%)

Compiler: Compiled 3505 to 2689 computations (23.3% saved)

prune27.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	189	7	196

Accurracy

100.0%

Counts

196 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	79.3%	(/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))
▶	51.4%	(/.f64 1 (/.f64 1 (+.f64 1 (.f64 x (.f64 -1/2 x)))))
✓	51.4%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	51.7%	1
	11.1%	1/2
	50.4%	0
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	79.3%	(/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))
▶	51.4%	(/.f64 1 (/.f64 1 (+.f64 1 (.f64 x (.f64 -1/2 x)))))
✓	51.4%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	51.7%	1
	11.1%	1/2
	50.4%	0

Compiler

Compiled 88 to 72 computations (18.2% saved)

localize57.0ms (2.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))
✓	100.0%	(+.f64 1 (.f64 x (.f64 -1/2 x)))
✓	99.9%	(/.f64 1 (/.f64 1 (+.f64 1 (.f64 x (.f64 -1/2 x)))))
✓	99.8%	(/.f64 1 (+.f64 1 (.f64 x (.f64 -1/2 x))))

Compiler

Compiled 60 to 41 computations (31.7% saved)

series1.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite85.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1250×	`log-prod`
712×	`prod-diff`
660×	`pow-exp`
652×	`pow-prod-up`
588×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	321	72
2	3704	72

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

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

simplify84.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

858×	`unswap-sqr`
780×	`associate-*r/`
772×	`distribute-lft-in`
770×	`distribute-rgt-in`
422×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	5960
1	821	5574
2	2455	5426

Stop Event

1×	node limit

Counts

244 → 219

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

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

eval73.0ms (3%)

Compiler: Compiled 3163 to 2496 computations (21.1% saved)

prune30.0ms (1.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	217	2	219
Fresh	0	3	3
Picked	0	2	2
Done	0	2	2
Total	217	9	226

Accurracy

100.0%

Counts

226 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.0%	(/.f64 (/.f64 2 x) x)
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	79.3%	(/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))
✓	51.4%	(/.f64 1 (/.f64 1 (+.f64 1 (.f64 x (.f64 -1/2 x)))))
	29.1%	(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))
✓	51.4%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	51.7%	1
	11.1%	1/2
	50.4%	0

Compiler

Compiled 133 to 101 computations (24.1% saved)

regimes14.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

Inputs
0
1/2
1
(/.f64 (/.f64 2 x) x)
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(/.f64 1 (/.f64 1 (+.f64 1 (.f64 x (.f64 -1/2 x)))))
(/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Calls

3 calls:

6.0ms	x
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
100.0%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 89 to 65 computations (27% saved)

regimes18.0ms (0.7%)

Counts

9 → 3

Calls

Call 1

Inputs
0
1/2
1
(/.f64 (/.f64 2 x) x)
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(/.f64 1 (/.f64 1 (+.f64 1 (.f64 x (.f64 -1/2 x)))))
(/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))

Outputs
0
(/.f64 1 (fma.f64 1/2 (*.f64 x x) 1))
0

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 65 to 47 computations (27.7% saved)

regimes14.0ms (0.6%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`x`

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes12.0ms (0.5%)

Counts

4 → 3

Calls

Call 1

Inputs
0
1/2
1
(/.f64 (/.f64 2 x) x)

Outputs
0
1
0

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

Inputs
0
1/2

Outputs
0
1/2
0

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
58.4%	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
50.4%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch31.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.010383228388616944	343573579.13470936
13.0ms	-2360.0978600371204	-20.03751988179391

Results

27.0ms

272×

body

256

valid

Compiler

Compiled 234 to 197 computations (15.8% saved)

bsearch34.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.010383228388616944	343573579.13470936
16.0ms	-20.03751988179391	-0.014950209097594973

Results

29.0ms

288×

body

256

valid

Compiler

Compiled 229 to 190 computations (17% saved)

bsearch32.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.010383228388616944	343573579.13470936
14.0ms	-2360.0978600371204	-20.03751988179391

Results

29.0ms

272×

body

256

valid

Compiler

Compiled 115 to 112 computations (2.6% saved)

bsearch34.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.010383228388616944	343573579.13470936
13.0ms	-2360.0978600371204	-20.03751988179391

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 115 to 112 computations (2.6% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`if-if-or-not`
6×	`+-commutative`
4×	`*-commutative`
2×	`sub-neg`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	148
1	59	148
2	61	148
3	62	148

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(if (<=.f64 x -360) 0 (if (<=.f64 x 360) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1)) 0))
(if (<=.f64 x -3152519739159347/2251799813685248) 0 (if (<=.f64 x 3152519739159347/2251799813685248) (+.f64 1 (.f64 -1/2 (.f64 x x))) 0))
(if (<=.f64 x -350) 0 (if (<=.f64 x 360) 1 0))
(if (<=.f64 x -350) 0 (if (<=.f64 x 360) 1/2 0))
0

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(if (<=.f64 x -360) 0 (if (<=.f64 x 360) (/.f64 1 (fma.f64 1/2 (*.f64 x x) 1)) 0))
(if (<=.f64 x -3152519739159347/2251799813685248) 0 (if (<=.f64 x 3152519739159347/2251799813685248) (+.f64 1 (.f64 -1/2 (.f64 x x))) 0))
(if (<=.f64 x -3152519739159347/2251799813685248) 0 (if (<=.f64 x 3152519739159347/2251799813685248) (+.f64 1 (.f64 (.f64 x x) -1/2)) 0))
(if (<=.f64 x -350) 0 (if (<=.f64 x 360) 1 0))
(if (<=.f64 x -350) 0 (if (<=.f64 x 360) 1/2 0))
0

Compiler

Compiled 72 to 58 computations (19.4% saved)

soundness316.0ms (12.8%)

Rules

1868×	`fma-def`
1540×	`pow1`
1444×	`fma-def`
1434×	`add-exp-log`
1432×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	216	17
2	3340	17
0	10	17
1	216	17
2	3340	17
0	46	318
1	80	314
2	144	310
3	365	306
4	1267	306
5	3171	306
6	4352	306
7	7244	306
0	8	19
1	165	15
2	2006	15
0	332	4764
1	834	4290
2	2610	4172

Stop Event

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

Compiler

Compiled 353 to 245 computations (30.6% saved)

end55.0ms (2.2%)

Compiler: Compiled 152 to 118 computations (22.4% saved)

analyze0.0ms (0%)

sample724.0ms (29.4%)

preprocess92.0ms (3.7%)

simplify85.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize27.0ms (1.1%)

series2.0ms (0.1%)

rewrite36.0ms (1.5%)

simplify79.0ms (3.2%)

eval6.0ms (0.2%)

prune7.0ms (0.3%)

localize27.0ms (1.1%)

series1.0ms (0%)

rewrite58.0ms (2.4%)

simplify51.0ms (2.1%)

eval11.0ms (0.4%)

prune8.0ms (0.3%)

localize72.0ms (2.9%)

series2.0ms (0.1%)

rewrite87.0ms (3.5%)

simplify74.0ms (3%)

eval75.0ms (3%)

prune27.0ms (1.1%)

localize57.0ms (2.3%)

series1.0ms (0.1%)

rewrite85.0ms (3.4%)

simplify84.0ms (3.4%)

eval73.0ms (3%)

prune30.0ms (1.2%)

regimes14.0ms (0.6%)

regimes18.0ms (0.7%)

regimes14.0ms (0.6%)

regimes12.0ms (0.5%)

regimes9.0ms (0.3%)

regimes4.0ms (0.2%)

bsearch31.0ms (1.3%)

bsearch34.0ms (1.4%)

bsearch32.0ms (1.3%)

bsearch34.0ms (1.4%)

simplify7.0ms (0.3%)

soundness316.0ms (12.8%)

end55.0ms (2.2%)

Profiling