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)

sample726.0ms (38.2%)

Results

715.0ms

8256×

body

256

valid

Bogosity

preprocess113.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1688×	`fma-def`
864×	`swap-sqr`
832×	`fabs-mul`
708×	`sqr-pow`
586×	`*-commutative`

Problems

256×

No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	25	75
2	45	75
3	76	75
4	147	75
5	310	75
6	826	75
7	2404	75
8	3614	75
9	4681	75
10	6353	75

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 34 to 16 computations (52.9% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

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)

localize31.0ms (1.6%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 9 computations (64% saved)

series5.0ms (0.2%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	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))))

rewrite31.0ms (1.7%)

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

simplify71.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1434×	`fma-def`
810×	`distribute-lft-out`
636×	`*-commutative`
572×	`unswap-sqr`
556×	`associate-/l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	218
1	74	214
2	139	210
3	359	206
4	1247	206
5	3148	206
6	4186	206
7	6488	206

Stop Event

1×	node limit

Counts

26 → 35

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 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 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 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 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) (fma.f64 -61/720 (pow.f64 x 6) 1))
(fma.f64 x (fma.f64 -1/2 x (*.f64 5/24 (pow.f64 x 3))) (fma.f64 -61/720 (pow.f64 x 6) 1))
(fma.f64 -61/720 (pow.f64 x 6) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.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 (0.3%)

Compiler: Compiled 232 to 165 computations (28.9% saved)

prune9.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Accuracy

100.0%

Counts

36 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.7%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	49.7%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	49.9%	1
	52.3%	0
▶	49.7%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	49.7%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	49.9%	1
	52.3%	0

Compiler

Compiled 66 to 48 computations (27.3% saved)

localize45.0ms (2.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.9%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)
✓	99.9%	(fma.f64 (*.f64 x x) 5/24 -1/2)

Compiler

Compiled 44 to 22 computations (50% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(fma.f64 (*.f64 x x) 5/24 -1/2)
0.0ms	x	@	0	(fma.f64 (*.f64 x x) 5/24 -1/2)
0.0ms	x	@	inf	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)
0.0ms	x	@	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)
0.0ms	x	@	-inf	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)

rewrite60.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`pow1`
1542×	`add-exp-log`
1540×	`log1p-expm1-u`
1540×	`expm1-log1p-u`
1510×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	195	44
2	2102	44

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(fma.f64 (*.f64 x x) 5/24 -1/2)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)

Outputs
(+.f64 -1/2 (.f64 x (.f64 x 5/24)))
(+.f64 (.f64 x (.f64 x 5/24)) -1/2)
(+.f64 (.f64 (.f64 x (*.f64 x 5/24)) 1) -1/2)
(-.f64 (+.f64 1 (fma.f64 (*.f64 x x) 5/24 -1/2)) 1)
(.f64 (fma.f64 (.f64 x x) 5/24 -1/2) 1)
(.f64 1 (fma.f64 (.f64 x x) 5/24 -1/2))
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) 5/24 -1/2)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 5/24 -1/2) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) 5/24 -1/2) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) 5/24 -1/2)) (sqrt.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 5/24)) 3) -1/8) (+.f64 (.f64 (.f64 x (.f64 x 5/24)) (.f64 x (.f64 x 5/24))) (-.f64 1/4 (.f64 (.f64 x (.f64 x 5/24)) -1/2))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 5/24)) (.f64 x (.f64 x 5/24))) 1/4) (-.f64 (.f64 x (*.f64 x 5/24)) -1/2))
(pow.f64 (fma.f64 (*.f64 x x) 5/24 -1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 5/24 -1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 5/24 -1/2) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 5/24 -1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(+.f64 1 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2)))
(+.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2)) 1)
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) 1) 1)
(-.f64 (+.f64 1 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) 1)
(.f64 1 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) 1))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) 1) 1)
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) 2) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) 1)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) 1)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) 3) 1) (+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2))) (-.f64 1 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) 1))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2))) 1) (-.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) 1))
(pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)))
(exp.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)))

simplify62.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1200×	`unswap-sqr`
1174×	`fma-def`
888×	`fma-neg`
560×	`log-prod`
538×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1700
1	262	1554
2	1158	1492
3	6385	1492

Stop Event

1×	node limit

Counts

66 → 72

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(*.f64 5/24 (pow.f64 x 2))
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(*.f64 5/24 (pow.f64 x 2))
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
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 5/24 (pow.f64 x 4))))
(*.f64 5/24 (pow.f64 x 4))
(+.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 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(*.f64 5/24 (pow.f64 x 4))
(+.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 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 -1/2 (.f64 x (.f64 x 5/24)))
(+.f64 (.f64 x (.f64 x 5/24)) -1/2)
(+.f64 (.f64 (.f64 x (*.f64 x 5/24)) 1) -1/2)
(-.f64 (+.f64 1 (fma.f64 (*.f64 x x) 5/24 -1/2)) 1)
(.f64 (fma.f64 (.f64 x x) 5/24 -1/2) 1)
(.f64 1 (fma.f64 (.f64 x x) 5/24 -1/2))
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) 5/24 -1/2)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 5/24 -1/2) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) 5/24 -1/2) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) 5/24 -1/2)) (sqrt.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 5/24)) 3) -1/8) (+.f64 (.f64 (.f64 x (.f64 x 5/24)) (.f64 x (.f64 x 5/24))) (-.f64 1/4 (.f64 (.f64 x (.f64 x 5/24)) -1/2))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 5/24)) (.f64 x (.f64 x 5/24))) 1/4) (-.f64 (.f64 x (*.f64 x 5/24)) -1/2))
(pow.f64 (fma.f64 (*.f64 x x) 5/24 -1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 5/24 -1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 5/24 -1/2) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 5/24 -1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(+.f64 1 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2)))
(+.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2)) 1)
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) 1) 1)
(-.f64 (+.f64 1 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) 1)
(.f64 1 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) 1))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) 1) 1)
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) 2) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) 1)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) 1)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) 3) 1) (+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2))) (-.f64 1 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) 1))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2))) 1) (-.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) 1))
(pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)))
(exp.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)))

Outputs
-1/2
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
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 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (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 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)))
(+.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 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (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 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)))
(+.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 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (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 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 -1/2 (.f64 x (.f64 x 5/24)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(+.f64 (.f64 x (.f64 x 5/24)) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(+.f64 (.f64 (.f64 x (*.f64 x 5/24)) 1) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (+.f64 1 (fma.f64 (*.f64 x x) 5/24 -1/2)) 1)
(fma.f64 5/24 (*.f64 x x) -1/2)
(.f64 (fma.f64 (.f64 x x) 5/24 -1/2) 1)
(fma.f64 5/24 (*.f64 x x) -1/2)
(.f64 1 (fma.f64 (.f64 x x) 5/24 -1/2))
(fma.f64 5/24 (*.f64 x x) -1/2)
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) 5/24 -1/2)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 5/24 -1/2) 2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) 5/24 -1/2) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) 5/24 -1/2)) (sqrt.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 5/24)) 3) -1/8) (+.f64 (.f64 (.f64 x (.f64 x 5/24)) (.f64 x (.f64 x 5/24))) (-.f64 1/4 (.f64 (.f64 x (.f64 x 5/24)) -1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 5/24 (.f64 x x)) 3) -1/8) (fma.f64 (.f64 5/24 (.f64 x x)) (.f64 5/24 (.f64 x x)) (-.f64 1/4 (.f64 -1/2 (.f64 5/24 (*.f64 x x))))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 125/13824) -1/8) (+.f64 (.f64 (pow.f64 x 4) 25/576) (-.f64 1/4 (.f64 x (*.f64 x -5/48)))))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 5/24)) (.f64 x (.f64 x 5/24))) 1/4) (-.f64 (.f64 x (*.f64 x 5/24)) -1/2))
(/.f64 (fma.f64 (.f64 5/24 (.f64 x x)) (.f64 5/24 (.f64 x x)) -1/4) (fma.f64 x (*.f64 5/24 x) 1/2))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (fma.f64 5/24 (.f64 x x) 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2))
(pow.f64 (fma.f64 (*.f64 x x) 5/24 -1/2) 1)
(fma.f64 5/24 (*.f64 x x) -1/2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)) 3)
(fma.f64 5/24 (*.f64 x x) -1/2)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 5/24 -1/2) 3) 1/3)
(fma.f64 5/24 (*.f64 x x) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)) 2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 5/24 -1/2) 2))
(fma.f64 5/24 (*.f64 x x) -1/2)
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 5/24 -1/2) 3))
(fma.f64 5/24 (*.f64 x x) -1/2)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 5/24 -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(+.f64 1 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2)) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) 1) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(-.f64 (+.f64 1 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(.f64 1 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) 1))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) 1) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) 1)) 2))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) 2) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) 1)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) 1)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) 3) 1) (+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2))) (-.f64 1 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) 1))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2)) 3)) (+.f64 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 5/24 (.f64 x x) -1/2) 2)) (-.f64 1 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2)))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2)) 3)) (-.f64 (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 5/24 (.f64 x x) -1/2) 2) 1) (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 5/24 (.f64 x x) -1/2) 3) (pow.f64 x 6) 1) (-.f64 1 (.f64 (fma.f64 5/24 (.f64 x x) -1/2) (-.f64 (.f64 x x) (.f64 (pow.f64 x 4) (fma.f64 5/24 (.f64 x x) -1/2))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2))) 1) (-.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2)) 1))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 5/24 (.f64 x x) -1/2) 2)) -1) (fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) -1))
(/.f64 (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 5/24 (.f64 x x) -1/2) 2) -1) (fma.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)) -1))
(/.f64 (fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1)) 1)
(pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) 3)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1) 3) 1/3)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)) 2)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1) 2))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(log.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1) 3))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(exp.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))

eval24.0ms (1.2%)

Compiler: Compiled 1213 to 712 computations (41.3% saved)

prune12.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	2	2
Picked	1	1	2
Done	0	1	1
Total	72	5	77

Accuracy

100.0%

Counts

77 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.7%	(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	49.7%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	49.9%	1
	52.3%	0
▶	49.7%	(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	49.7%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	49.9%	1
	52.3%	0

Compiler

Compiled 68 to 52 computations (23.5% saved)

localize43.0ms (2.2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.9%	(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
✓	99.7%	(.f64 x (.f64 x 5/24))
✓	99.5%	(*.f64 x 5/24)

Compiler

Compiled 36 to 23 computations (36.1% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 x 5/24)
0.0ms	x	@	0	(*.f64 x 5/24)
0.0ms	x	@	inf	(*.f64 x 5/24)
0.0ms	x	@	0	(.f64 x (.f64 x 5/24))
0.0ms	x	@	inf	(.f64 x (.f64 x 5/24))

rewrite76.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`log-prod`
760×	`prod-exp`
664×	`pow-prod-down`
514×	`pow-prod-up`
474×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	247	49
2	2901	49

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

Inputs
(*.f64 x 5/24)
(.f64 x (.f64 x 5/24))
(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)

Outputs
(+.f64 0 (*.f64 x 5/24))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/24)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 5/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 5/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 5/24))) 1)
(pow.f64 (*.f64 x 5/24) 1)
(pow.f64 (cbrt.f64 (*.f64 x 5/24)) 3)
(pow.f64 (.f64 (.f64 x x) 25/576) 1/2)
(pow.f64 (pow.f64 (*.f64 x 5/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 5/24)) 2)
(sqrt.f64 (.f64 (.f64 x x) 25/576))
(log.f64 (pow.f64 (exp.f64 x) 5/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 5/24))))
(cbrt.f64 (pow.f64 (*.f64 x 5/24) 3))
(expm1.f64 (log1p.f64 (*.f64 x 5/24)))
(exp.f64 (log.f64 (*.f64 x 5/24)))
(exp.f64 (.f64 (log.f64 (.f64 x 5/24)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 5/24)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 5/24))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 5/24))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 5/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 5/24)))
(+.f64 0 (.f64 x (.f64 x 5/24)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 5/24)))) 1)
(pow.f64 (.f64 x (.f64 x 5/24)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 5/24))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 25/576) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 5/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 25/576))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 5/24)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 125/13824))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 5/24))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 x 5/24)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 125/13824)) 1/3))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 5/24))) 2))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (.f64 x 5/24)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 x 5/24))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 x 5/24)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 x 5/24)) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x 5/24)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x 5/24)) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 5/24))))
(+.f64 1 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))
(+.f64 0 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))
(+.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))) 1)
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 1)
(.f64 1 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1) 1)
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2)) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1)))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 3)) 1) (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2) (-.f64 1 (.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))) 1))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2) 1) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) -1))
(pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2)))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))

simplify77.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1204×	`fma-def`
968×	`distribute-lft-in`
932×	`distribute-rgt-in`
692×	`unswap-sqr`
490×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	2370
1	460	2162
2	1265	2158
3	5800	2120

Stop Event

1×	node limit

Counts

116 → 112

Calls

Call 1

Inputs
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(*.f64 5/24 (pow.f64 x 4))
(+.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 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(*.f64 5/24 (pow.f64 x 4))
(+.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 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 0 (*.f64 x 5/24))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/24)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 5/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 5/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 5/24))) 1)
(pow.f64 (*.f64 x 5/24) 1)
(pow.f64 (cbrt.f64 (*.f64 x 5/24)) 3)
(pow.f64 (.f64 (.f64 x x) 25/576) 1/2)
(pow.f64 (pow.f64 (*.f64 x 5/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 5/24)) 2)
(sqrt.f64 (.f64 (.f64 x x) 25/576))
(log.f64 (pow.f64 (exp.f64 x) 5/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 5/24))))
(cbrt.f64 (pow.f64 (*.f64 x 5/24) 3))
(expm1.f64 (log1p.f64 (*.f64 x 5/24)))
(exp.f64 (log.f64 (*.f64 x 5/24)))
(exp.f64 (.f64 (log.f64 (.f64 x 5/24)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 5/24)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 5/24))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 5/24))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 5/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 5/24)))
(+.f64 0 (.f64 x (.f64 x 5/24)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 5/24)))) 1)
(pow.f64 (.f64 x (.f64 x 5/24)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 5/24))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 25/576) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 5/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 25/576))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 5/24)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 125/13824))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 5/24))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 x 5/24)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 125/13824)) 1/3))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 5/24))) 2))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (.f64 x 5/24)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 x 5/24))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 x 5/24)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 x 5/24)) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x 5/24)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x 5/24)) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 5/24))))
(+.f64 1 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))
(+.f64 0 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))
(+.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))) 1)
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 1)
(.f64 1 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1) 1)
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2)) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1)))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 3)) 1) (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2) (-.f64 1 (.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))) 1))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2) 1) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) -1))
(pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2)))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))

Outputs
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
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 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (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 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.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 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (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 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.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 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (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 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 0 (*.f64 x 5/24))
(*.f64 5/24 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/24)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/24))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/24))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/24))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 5/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 5/24))))
(*.f64 5/24 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 5/24))) 1)
(*.f64 5/24 x)
(pow.f64 (*.f64 x 5/24) 1)
(*.f64 5/24 x)
(pow.f64 (cbrt.f64 (*.f64 x 5/24)) 3)
(*.f64 5/24 x)
(pow.f64 (.f64 (.f64 x x) 25/576) 1/2)
(*.f64 5/24 x)
(pow.f64 (pow.f64 (*.f64 x 5/24) 3) 1/3)
(*.f64 5/24 x)
(pow.f64 (sqrt.f64 (*.f64 x 5/24)) 2)
(*.f64 5/24 x)
(sqrt.f64 (.f64 (.f64 x x) 25/576))
(*.f64 5/24 x)
(log.f64 (pow.f64 (exp.f64 x) 5/24))
(*.f64 5/24 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 5/24))))
(*.f64 5/24 x)
(cbrt.f64 (pow.f64 (*.f64 x 5/24) 3))
(*.f64 5/24 x)
(expm1.f64 (log1p.f64 (*.f64 x 5/24)))
(*.f64 5/24 x)
(exp.f64 (log.f64 (*.f64 x 5/24)))
(*.f64 5/24 x)
(exp.f64 (.f64 (log.f64 (.f64 x 5/24)) 1))
(*.f64 5/24 x)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 5/24)) 1) 1))
(*.f64 5/24 x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 5/24))) 3))
(*.f64 5/24 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 5/24))) 1/3))
(*.f64 5/24 x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 5/24))) 2))
(*.f64 5/24 x)
(log1p.f64 (expm1.f64 (*.f64 x 5/24)))
(*.f64 5/24 x)
(+.f64 0 (.f64 x (.f64 x 5/24)))
(.f64 5/24 (.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 5/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))))
(.f64 5/24 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 5/24)))) 1)
(.f64 5/24 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 5/24)) 1)
(.f64 5/24 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 5/24))) 3)
(.f64 5/24 (.f64 x x))
(pow.f64 (*.f64 (pow.f64 x 4) 25/576) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 25/576))
(pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 1/3)
(.f64 5/24 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 5/24)) 2)
(.f64 5/24 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 25/576))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))
(.f64 5/24 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 5/24)))))
(.f64 5/24 (.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 x 6) 125/13824))
(.f64 5/24 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 5/24))))
(.f64 5/24 (.f64 x x))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)))
(.f64 5/24 (.f64 x x))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)) 1))
(.f64 5/24 (.f64 x x))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)) 1) 1))
(.f64 5/24 (.f64 x x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 x 5/24)))) 3))
(.f64 5/24 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 125/13824)) 1/3))
(.f64 5/24 (.f64 x x))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)) 3) 1/3))
(.f64 5/24 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 5/24))) 2))
(.f64 5/24 (.f64 x x))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (.f64 x 5/24)) 1)))
(.f64 5/24 (.f64 x x))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 x 5/24))))
(.f64 5/24 (.f64 x x))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 x 5/24)) 1)))
(.f64 5/24 (.f64 x x))
(exp.f64 (+.f64 (log.f64 (.f64 x 5/24)) (.f64 (log.f64 x) 1)))
(.f64 5/24 (.f64 x x))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x 5/24)) 1) (log.f64 x)))
(.f64 5/24 (.f64 x x))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x 5/24)) 1) (*.f64 (log.f64 x) 1)))
(.f64 5/24 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 5/24))))
(.f64 5/24 (.f64 x x))
(+.f64 1 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 0 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 1) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 5/24 x) -1/2) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 5/24 x) -1/2) 1)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2) 1)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(.f64 1 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1) 2)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2)) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))))
(pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 5/24 x) -1/2)))) 2)
(pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)))) 2)
(/.f64 (+.f64 (.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 3)) 1) (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2) (-.f64 1 (.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))) 1))))
(/.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (.f64 5/24 x) -1/2) 3) 1) (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 5/24 x) -1/2))) 2) (-.f64 1 (.f64 x (.f64 x (fma.f64 x (*.f64 5/24 x) -1/2))))))
(/.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 5/24 (.f64 x x) -1/2) 3) 1) (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2)) 2)) (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))))
(/.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 5/24 (.f64 x x) -1/2) 3) 1) (+.f64 1 (.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2)) (fma.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2) -1))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2) 1) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) -1))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 5/24 x) -1/2))) 2) -1) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 5/24 x) -1/2) -1))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2)) 2) -1) (fma.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2) -1))
(/.f64 (fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1)) 1)
(pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) 3)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2) 1/2)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3) 1/3)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) 2)
(pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 5/24 x) -1/2)))) 2)
(pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(log.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 5/24 x) -1/2)))))
(exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2)))) 1))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 5/24 x) -1/2)))))
(exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))) 1) 1))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 5/24 x) -1/2)))))
(exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))) 3))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 5/24 x) -1/2)))))
(exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))) 1/3))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 5/24 x) -1/2)))))
(exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2))))) 2))
(pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 5/24 x) -1/2)))) 2)
(pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)))) 2)
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))

eval40.0ms (2.1%)

Compiler: Compiled 1835 to 1215 computations (33.8% saved)

prune18.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	112	5	117

Accuracy

100.0%

Counts

117 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.7%	(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	49.7%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	49.9%	1
	52.3%	0
✓	49.7%	(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	49.7%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	49.9%	1
	52.3%	0

Compiler

Compiled 68 to 52 computations (23.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.7%	(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	49.7%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	49.9%	1
	52.3%	0

Compiler

Compiled 75 to 52 computations (30.7% saved)

regimes10.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

Inputs
0
1
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)

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

Calls

3 calls:

5.0ms	x
2.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	(+.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 59 to 39 computations (33.9% saved)

regimes10.0ms (0.5%)

Counts

4 → 2

Calls

Call 1

Inputs
0
1
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)

Outputs
(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
0

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0.4%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.8%)

Counts

2 → 2

Calls

Call 1

Inputs
0
1

Outputs
1
0

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (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
52.3%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch17.0ms (0.9%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.16798296898314322	65306.14117566068

Results

15.0ms

144×

body

256

valid

Compiler

Compiled 166 to 127 computations (23.5% saved)

bsearch20.0ms (1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.16798296898314322	65306.14117566068

Results

18.0ms

144×

body

256

valid

Compiler

Compiled 121 to 100 computations (17.4% saved)

bsearch17.0ms (0.9%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.16798296898314322	65306.14117566068

Results

15.0ms

144×

body

256

valid

Compiler

Compiled 67 to 64 computations (4.5% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
8×	`*-commutative`
2×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	109
1	44	109
2	46	109
3	47	109

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(if (<=.f64 x 350) (fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1) 0)
(if (<=.f64 x 799388933858263/562949953421312) (+.f64 1 (.f64 -1/2 (.f64 x x))) 0)
(if (<=.f64 x 360) 1 0)
0

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(if (<=.f64 x 350) (fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1) 0)
(if (<=.f64 x 799388933858263/562949953421312) (+.f64 1 (.f64 -1/2 (.f64 x x))) 0)
(if (<=.f64 x 799388933858263/562949953421312) (+.f64 1 (.f64 (.f64 x x) -1/2)) 0)
(if (<=.f64 x 360) 1 0)
0

Compiler

Compiled 49 to 38 computations (22.4% saved)

soundness290.0ms (15.2%)

Rules

1670×	`pow1`
1542×	`add-exp-log`
1540×	`log1p-expm1-u`
1540×	`expm1-log1p-u`
1510×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	216	17
2	3340	17
0	42	218
1	74	214
2	139	210
3	359	206
4	1247	206
5	3148	206
6	4186	206
7	6488	206
0	42	218
1	74	214
2	139	210
3	359	206
4	1247	206
5	3148	206
6	4186	206
7	6488	206
0	10	44
1	195	44
2	2102	44

Stop Event

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

Compiler

Compiled 211 to 157 computations (25.6% saved)

end0.0ms (0%)

preprocess48.0ms (2.5%)

Remove: (abs x)
Compiler: Compiled 126 to 94 computations (25.4% saved)

analyze0.0ms (0%)

sample726.0ms (38.2%)

preprocess113.0ms (5.9%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize31.0ms (1.6%)

series5.0ms (0.2%)

rewrite31.0ms (1.7%)

simplify71.0ms (3.7%)

eval6.0ms (0.3%)

prune9.0ms (0.5%)

localize45.0ms (2.4%)

series1.0ms (0.1%)

rewrite60.0ms (3.1%)

simplify62.0ms (3.3%)

eval24.0ms (1.2%)

prune12.0ms (0.6%)

localize43.0ms (2.2%)

series2.0ms (0.1%)

rewrite76.0ms (4%)

simplify77.0ms (4%)

eval40.0ms (2.1%)

prune18.0ms (1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.2%)

regimes10.0ms (0.5%)

regimes10.0ms (0.5%)

regimes8.0ms (0.4%)

regimes15.0ms (0.8%)

regimes3.0ms (0.2%)

bsearch17.0ms (0.9%)

bsearch20.0ms (1%)

bsearch17.0ms (0.9%)

simplify7.0ms (0.3%)

soundness290.0ms (15.2%)

end0.0ms (0%)

preprocess48.0ms (2.5%)

Profiling