Metrics for exp2 (problem 3.3.7)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 10 to 8 computations (20% saved)

sample3.5s (31.6%)

Results

2.1s	2205×	body	2048	valid
623.0ms	4022×	body	256	infinite
496.0ms	1055×	body	1024	valid
176.0ms	519×	body	512	valid
71.0ms	455×	body	256	valid

Bogosity

preprocess77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2168×	`fma-def`
1112×	`distribute-lft-neg-in`
846×	`associate-/r/`
734×	`div-sub`
696×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	36	75
2	74	75
3	136	75
4	300	75
5	794	75
6	2614	75
7	5873	75

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval1.0ms (0%)

Compiler: Compiled 25 to 13 computations (48% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.2%	(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
▶	75.2%	(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize65.0ms (0.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 2 (exp.f64 x))
✓	75.2%	(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))

Compiler

Compiled 23 to 11 computations (52.2% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`unpow-prod-down`
992×	`prod-diff`
838×	`log-prod`
606×	`fma-def`
498×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	221	50
2	3121	50

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(-.f64 2 (exp.f64 x))

Outputs
-8
-4
-3
-2
-3/2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
8
9
16
27
64
512
x
-8
-4
-3
-2
-3/2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
8
9
16
27
64
512
x

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1532×	`distribute-lft-out`
1496×	`unswap-sqr`
1272×	`fma-def`
1210×	`distribute-rgt-out`
1108×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	454
1	125	446
2	269	440
3	867	428
4	3954	428

Stop Event

1×	node limit

Counts

78 → 66

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 3)))))
-8
-4
-3
-2
-3/2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
8
9
16
27
64
512
-8
-4
-3
-2
-3/2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
8
9
16
27
64
512

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(fma.f64 1/20160 (pow.f64 x 8) (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(fma.f64 1/20160 (pow.f64 x 8) (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/20160 (pow.f64 x 8) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 (neg.f64 x) 1)
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1 x (.f64 (.f64 x x) -1/2)))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)))
(fma.f64 (*.f64 x x) -1/2 (-.f64 1 x))
(fma.f64 x (fma.f64 x -1/2 -1) 1)
(+.f64 1 (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 -1 x (fma.f64 -1/2 (.f64 x x) (.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (-.f64 1 x) (fma.f64 (.f64 x x) -1/2 (.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x))
(fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 1 x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) 1) x)
-8
-4
-3
-2
-3/2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
8
9
16
27
64
512
-8
-4
-3
-2
-3/2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
8
9
16
27
64
512

eval12.0ms (0.1%)

Compiler: Compiled 480 to 303 computations (36.9% saved)

prune35.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	7	67

Accuracy

100.0%

Counts

67 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.0%	(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
✓	75.2%	(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
▶	60.2%	(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))
▶	73.7%	(*.f64 x x)
	3.7%	512
	3.8%	1/9
	21.2%	0
▶	89.0%	(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
✓	75.2%	(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
▶	60.2%	(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))
▶	73.7%	(*.f64 x x)
	3.7%	512
	3.8%	1/9
	21.2%	0

Compiler

Compiled 92 to 68 computations (26.1% saved)

localize366.0ms (3.3%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.9%	(*.f64 1/12 (pow.f64 x 4))
✓	99.9%	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)))
✓	99.6%	(*.f64 x -1/6)
✓	75.2%	(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))

Compiler

Compiled 95 to 55 computations (42.1% saved)

series13.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)))
1.0ms	x	@	0	(*.f64 1/12 (pow.f64 x 4))
1.0ms	x	@	0	(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))
1.0ms	x	@	inf	(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))
1.0ms	x	@	inf	(*.f64 1/12 (pow.f64 x 4))

rewrite154.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1964×	`fma-def`
710×	`expm1-udef`
702×	`log1p-udef`
448×	`add-sqr-sqrt`
430×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	96
1	452	74
2	6208	74

Stop Event

1×	node limit

Counts

4 → 179

Calls

Call 1

Inputs
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))
(*.f64 x -1/6)
(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 1/12 (pow.f64 x 4))

Outputs
(+.f64 (exp.f64 x) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (exp.f64 x) (.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 1))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (fma.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 1 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 2) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (exp.f64 x))
(+.f64 (expm1.f64 x) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x)))
(+.f64 (expm1.f64 x) (.f64 -1 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)))
(+.f64 (expm1.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x) 2))) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(+.f64 (expm1.f64 x) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x))) (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(+.f64 (-.f64 (expm1.f64 x) (.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))) x)
(+.f64 (-.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) 1)) x)
(.f64 1 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)))
(.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) 1)
(.f64 (cbrt.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x))) (pow.f64 (cbrt.f64 (-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x))) 2) (cbrt.f64 (-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(.f64 (sqrt.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x))) (sqrt.f64 (-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)) 3)) (/.f64 1 (fma.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)) (+.f64 (exp.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (pow.f64 (exp.f64 x) 2))))
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(fma.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)) 3)) (/.f64 1 (fma.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)) (+.f64 (exp.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 2) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)) 3)) (/.f64 1 (fma.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)) (+.f64 (exp.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(fma.f64 -1 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)) (exp.f64 x))
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)) 2)) (/.f64 1 (+.f64 (exp.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (fma.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 1 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)) 2)) (/.f64 1 (+.f64 (exp.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 2) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)) 2)) (/.f64 1 (+.f64 (exp.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(fma.f64 (.f64 (cbrt.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (cbrt.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))) (cbrt.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (exp.f64 x))
(fma.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x)) (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)))
(fma.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x)) (.f64 -1 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x)))
(fma.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x)) (.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x) 2))) (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x))))
(fma.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x))) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x))))
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (sqrt.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (exp.f64 x))
(fma.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x)))
(fma.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)) (.f64 -1 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)))
(fma.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)) (.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x) 2))) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(fma.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x))) (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (exp.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (fma.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 1 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 2) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1) (.f64 -1 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1) (.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x) 2))) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x))) (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 2)) (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/6))) 1)
(pow.f64 (*.f64 x -1/6) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(pow.f64 (*.f64 -1/216 (pow.f64 x 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(sqrt.f64 (.f64 (.f64 x x) 1/36))
(log.f64 (pow.f64 (exp.f64 x) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/6))))
(cbrt.f64 (*.f64 -1/216 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(exp.f64 (log.f64 (*.f64 x -1/6)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(+.f64 (.f64 (.f64 x x) -1/2) (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 (*.f64 x x) -1/2))
(+.f64 (.f64 (.f64 (.f64 x x) -1/2) 1) (.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) 1) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) -1/2) 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (fma.f64 (.f64 (.f64 x x) -1/2) (.f64 (.f64 x x) -1/2) (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 (.f64 (.f64 x x) -1/2) (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) -1/2) (.f64 (.f64 x x) -1/2)) (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3)))) (-.f64 (.f64 (.f64 x x) -1/2) (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (.f64 (.f64 x x) (fma.f64 -1/216 (pow.f64 x 3) -1/8)) (fma.f64 (.f64 x -1/6) (-.f64 (.f64 x -1/6) -1/2) 1/4))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 (.f64 x x) 1/36))) (fma.f64 x -1/6 -1/2))
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 x 3) -1/8) (.f64 x x)) (fma.f64 (.f64 x -1/6) (-.f64 (.f64 x -1/6) -1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/36)) (.f64 x x)) (fma.f64 x -1/6 -1/2))
(pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/6 -1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))) 3)
(pow.f64 (*.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 3) (pow.f64 x 6)) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -1/6 -1/2) 2)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -1/6 -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x -1/6 -1/2)))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -1/6 -1/2))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -1/6 -1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))))
(fma.f64 x (.f64 x -1/2) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x (.f64 x -1/6)) (.f64 (.f64 x x) -1/2))
(fma.f64 x (.f64 -1/6 (.f64 x x)) (.f64 (.f64 x x) -1/2))
(fma.f64 1 (.f64 (.f64 x x) -1/2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (.f64 -1/6 (pow.f64 x 3)) (.f64 (*.f64 x x) -1/2))
(fma.f64 (.f64 x x) -1/2 (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 x x) (.f64 x -1/6) (.f64 (.f64 x x) -1/2))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 (.f64 x x) -1/2))
(fma.f64 (.f64 x -1/6) (.f64 x x) (.f64 (.f64 x x) -1/2))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/36)) (.f64 (cbrt.f64 (.f64 x -1/6)) (.f64 x x)) (.f64 (*.f64 x x) -1/2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x -1/6)) (.f64 (.f64 x x) -1/2))
(fma.f64 (sqrt.f64 (.f64 x -1/6)) (.f64 (sqrt.f64 (.f64 x -1/6)) (.f64 x x)) (.f64 (.f64 x x) -1/2))
(fma.f64 (pow.f64 x 3) -1/6 (.f64 (.f64 x x) -1/2))
(fma.f64 (.f64 (.f64 x x) -1/2) 1 (.f64 (.f64 -1/6 (pow.f64 x 3)) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) -1/2)) (cbrt.f64 (.f64 (.f64 x x) -1/2))) (cbrt.f64 (.f64 (.f64 x x) -1/2)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3)))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) (.f64 (.f64 x x) -1/2))
(fma.f64 (sqrt.f64 (.f64 (.f64 x x) -1/2)) (sqrt.f64 (.f64 (.f64 x x) -1/2)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) (.f64 (.f64 x x) -1/2))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x -1/6))) (.f64 x (sqrt.f64 (.f64 x -1/6))) (.f64 (.f64 x x) -1/2))
(fma.f64 (.f64 (sqrt.f64 (.f64 x -1/6)) x) (.f64 (sqrt.f64 (.f64 x -1/6)) x) (.f64 (.f64 x x) -1/2))
(fma.f64 (.f64 -1/2 x) x (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (.f64 x -1/6) x) x (.f64 (.f64 x x) -1/2))
(fma.f64 (.f64 (.f64 x x) -1/6) x (.f64 (.f64 x x) -1/2))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (.f64 (.f64 x x) 1/36))) (cbrt.f64 (.f64 x -1/6)) (.f64 (*.f64 x x) -1/2))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 (.f64 x -1/6))) (sqrt.f64 (.f64 x -1/6)) (.f64 (.f64 x x) -1/2))
(fma.f64 (.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (.f64 x -1/6) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 (.f64 x x) -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3) 1/3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 1/12)) 2)
(sqrt.f64 (*.f64 1/144 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 1/12) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))
(exp.f64 (fma.f64 4 (log.f64 x) (log.f64 1/12)))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4))))

simplify322.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1126×	`distribute-lft-in`
1116×	`unswap-sqr`
528×	`cancel-sign-sub-inv`
484×	`times-frac`
478×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	428	11895
1	1084	9975
2	3230	7929

Stop Event

1×	node limit

Counts

215 → 259

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (pow.f64 x 2))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(-.f64 (+.f64 x (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))) 1)
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(-.f64 (+.f64 x (+.f64 (exp.f64 (.f64 -1 x)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))) 1)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
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(cbrt.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))
(exp.f64 (fma.f64 4 (log.f64 x) (log.f64 1/12)))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4))))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 1/24 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (pow.f64 x 2)))
(fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 -1/120 (pow.f64 x 5) (fma.f64 x x (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/120 (pow.f64 x 5)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (pow.f64 x 2))))
(fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/24 (pow.f64 x 4) (*.f64 x x))))
(fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 x x (*.f64 1/24 (pow.f64 x 4)))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2)))
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2))))
(+.f64 x (.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))))
(-.f64 (+.f64 x (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))) 1)
(+.f64 x (-.f64 (+.f64 (fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x))) (exp.f64 (neg.f64 x))) 1))
(+.f64 x (+.f64 (fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2))) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(+.f64 x (+.f64 (.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))) (expm1.f64 (neg.f64 x))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2)))
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2))))
(+.f64 x (.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))))
(-.f64 (+.f64 x (+.f64 (exp.f64 (.f64 -1 x)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))) 1)
(+.f64 x (-.f64 (+.f64 (fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x))) (exp.f64 (neg.f64 x))) 1))
(+.f64 x (+.f64 (fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2))) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(+.f64 x (+.f64 (.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))) (expm1.f64 (neg.f64 x))))
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(+.f64 (exp.f64 x) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(-.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))
(-.f64 (exp.f64 x) (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1))
(+.f64 (exp.f64 x) (.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 1))
(-.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))
(-.f64 (exp.f64 x) (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (fma.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 1 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (.f64 0 (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1)))
(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 2) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (.f64 0 (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1)))
(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (.f64 0 (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1)))
(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(+.f64 (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (exp.f64 x))
(-.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))
(-.f64 (exp.f64 x) (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1))
(+.f64 (expm1.f64 x) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x)))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (.f64 0 (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1)))
(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(+.f64 (expm1.f64 x) (.f64 -1 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (.f64 0 (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1)))
(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(+.f64 (expm1.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x) 2))) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(-.f64 (expm1.f64 x) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x) 2)) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(+.f64 (expm1.f64 x) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x))) (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (.f64 0 (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1)))
(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(+.f64 (-.f64 (expm1.f64 x) (.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))) x)
(+.f64 x (-.f64 (expm1.f64 x) (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) 1)) x)
(-.f64 (exp.f64 x) (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) 1) x))
(+.f64 x (-.f64 (exp.f64 x) (fma.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x) 1)))
(-.f64 (+.f64 x (exp.f64 x)) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) 1))
(.f64 1 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (.f64 0 (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1)))
(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) 1)
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (.f64 0 (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1)))
(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(.f64 (cbrt.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x))) (pow.f64 (cbrt.f64 (-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))) 2))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (.f64 0 (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1)))
(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x))) 2) (cbrt.f64 (-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (.f64 0 (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1)))
(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(.f64 (sqrt.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x))) (sqrt.f64 (-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
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(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
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(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(expm1.f64 (log1p.f64 (-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (.f64 0 (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1)))
(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(exp.f64 (log.f64 (-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
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(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(exp.f64 (.f64 (log.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x))) 1))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
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(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(log1p.f64 (expm1.f64 (-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
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(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(fma.f64 (exp.f64 x) 1 (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(-.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))
(-.f64 (exp.f64 x) (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1))
(fma.f64 (exp.f64 x) 1 (.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 1))
(-.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))
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(-.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))
(-.f64 (exp.f64 x) (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1))
(fma.f64 1 (exp.f64 x) (.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 1))
(-.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))
(-.f64 (exp.f64 x) (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1))
(fma.f64 1 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (fma.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 1 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
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(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
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(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
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(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(fma.f64 1 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
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(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(fma.f64 1 (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (exp.f64 x))
(-.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))
(-.f64 (exp.f64 x) (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1))
(fma.f64 1 (expm1.f64 x) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x)))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
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(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(fma.f64 1 (expm1.f64 x) (.f64 -1 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
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(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
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(+.f64 (expm1.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x) 2))) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
(-.f64 (expm1.f64 x) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x) 2)) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))))
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(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(fma.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) 1 (fma.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 1 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
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(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(fma.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 2) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
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(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(fma.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) 1 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
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(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 2) (neg.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))) (exp.f64 x))
(-.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))
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(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
(-.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))
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(-.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))
(-.f64 (exp.f64 x) (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1))
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(-.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))
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(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) 1))
(-.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1)))
(-.f64 (exp.f64 x) (+.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x) 1))
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(-.f64 (expm1.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) x))
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(+.f64 (-.f64 (expm1.f64 x) (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) x)) (+.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))) (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (+.f64 x 1))))
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(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 3) (pow.f64 x 6)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -1/6 -1/2) 3)))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 2)
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -1/6 -1/2) 2)))
(fabs.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -1/6 -1/2))))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x -1/6 -1/2)))))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 3) (pow.f64 x 6)))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -1/6 -1/2) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -1/6 -1/2))))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -1/6 -1/2))) 1))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 x (.f64 x -1/2) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 x (.f64 x (.f64 x -1/6)) (.f64 (.f64 x x) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 x (.f64 -1/6 (.f64 x x)) (.f64 (.f64 x x) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 1 (.f64 (.f64 x x) -1/2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 1 (.f64 -1/6 (pow.f64 x 3)) (.f64 (*.f64 x x) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (.f64 x x) -1/2 (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (.f64 x x) (.f64 x -1/6) (.f64 (.f64 x x) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 (.f64 x x) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (.f64 x -1/6) (.f64 x x) (.f64 (.f64 x x) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/36)) (.f64 (cbrt.f64 (.f64 x -1/6)) (.f64 x x)) (.f64 (*.f64 x x) -1/2))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/36))) (.f64 (.f64 x x) (cbrt.f64 (.f64 x -1/6))) (.f64 -1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/36)) (.f64 x (.f64 x (cbrt.f64 (.f64 x -1/6)))) (.f64 x (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/36)) (.f64 (.f64 x x) (cbrt.f64 (.f64 x -1/6))) (.f64 x (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (.f64 (pow.f64 x 3) -1/6))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x -1/6)) (.f64 (.f64 x x) -1/2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (.f64 x -1/6) (pow.f64 (cbrt.f64 x) 2)) (.f64 -1/2 (.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 x (.f64 -1/6 (pow.f64 (cbrt.f64 x) 2))) (.f64 x (.f64 x -1/2)))
(fma.f64 (sqrt.f64 (.f64 x -1/6)) (.f64 (sqrt.f64 (.f64 x -1/6)) (.f64 x x)) (.f64 (.f64 x x) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (pow.f64 x 3) -1/6 (.f64 (.f64 x x) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (.f64 (.f64 x x) -1/2) 1 (.f64 (.f64 -1/6 (pow.f64 x 3)) 1))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) -1/2)) (cbrt.f64 (.f64 (.f64 x x) -1/2))) (cbrt.f64 (.f64 (.f64 x x) -1/2)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (.f64 (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3)))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) (.f64 (.f64 x x) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (sqrt.f64 (.f64 (.f64 x x) -1/2)) (sqrt.f64 (.f64 (.f64 x x) -1/2)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) (.f64 (.f64 x x) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x -1/6))) (.f64 x (sqrt.f64 (.f64 x -1/6))) (.f64 (.f64 x x) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (.f64 (sqrt.f64 (.f64 x -1/6)) x) (.f64 (sqrt.f64 (.f64 x -1/6)) x) (.f64 (.f64 x x) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (.f64 -1/2 x) x (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (.f64 (.f64 x -1/6) x) x (.f64 (.f64 x x) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (.f64 (.f64 x x) -1/6) x (.f64 (.f64 x x) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (.f64 (.f64 x x) 1/36))) (cbrt.f64 (.f64 x -1/6)) (.f64 (*.f64 x x) -1/2))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/36))) (.f64 (.f64 x x) (cbrt.f64 (.f64 x -1/6))) (.f64 -1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/36)) (.f64 x (.f64 x (cbrt.f64 (.f64 x -1/6)))) (.f64 x (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/36)) (.f64 (.f64 x x) (cbrt.f64 (.f64 x -1/6))) (.f64 x (*.f64 x -1/2)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 (.f64 x -1/6))) (sqrt.f64 (.f64 x -1/6)) (.f64 (.f64 x x) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) -1/6))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 (.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (.f64 (pow.f64 x 3) -1/6))
(fma.f64 (.f64 (.f64 x -1/6) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 (.f64 x x) -1/2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (.f64 x -1/6) (pow.f64 (cbrt.f64 x) 2)) (.f64 -1/2 (.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 x (.f64 -1/6 (pow.f64 (cbrt.f64 x) 2))) (.f64 x (.f64 x -1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) 1)
(*.f64 (pow.f64 x 4) 1/12)
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1)
(*.f64 (pow.f64 x 4) 1/12)
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3)
(*.f64 (pow.f64 x 4) 1/12)
(pow.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3) 1/3)
(*.f64 (pow.f64 x 4) 1/12)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 1/12)) 2)
(*.f64 (pow.f64 x 4) 1/12)
(sqrt.f64 (*.f64 1/144 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 1/12) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) 1/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))))
(*.f64 (pow.f64 x 4) 1/12)
(cbrt.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3))
(*.f64 (pow.f64 x 4) 1/12)
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) 1/12)
(exp.f64 (fma.f64 4 (log.f64 x) (log.f64 1/12)))
(*.f64 (pow.f64 x 4) 1/12)
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 1/12)) 1))
(*.f64 (pow.f64 x 4) 1/12)
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) 1/12)

eval331.0ms (3%)

Compiler: Compiled 6846 to 4215 computations (38.4% saved)

prune124.0ms (1.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	256	3	259
Fresh	0	3	3
Picked	0	3	3
Done	0	1	1
Total	256	10	266

Accuracy

100.0%

Counts

266 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.0%	(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
✓	75.2%	(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
✓	60.2%	(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))
▶	42.3%	(+.f64 x (.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))))
▶	63.1%	(.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2)))
✓	73.7%	(*.f64 x x)
▶	60.2%	(*.f64 1/6 (pow.f64 x 3))
	3.7%	512
	3.8%	1/9
	21.2%	0
✓	89.0%	(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
✓	75.2%	(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
✓	60.2%	(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))
▶	42.3%	(+.f64 x (.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))))
▶	63.1%	(.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2)))
✓	73.7%	(*.f64 x x)
▶	60.2%	(*.f64 1/6 (pow.f64 x 3))
	3.7%	512
	3.8%	1/9
	21.2%	0

Compiler

Compiled 148 to 108 computations (27% saved)

localize279.0ms (2.6%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	99.9%	(*.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))
✓	99.9%	(.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2)))
✓	99.8%	(fma.f64 x -1/6 -1/2)
✓	99.9%	(*.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))
✓	99.9%	(.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2)))
✓	99.8%	(fma.f64 x -1/6 -1/2)
✓	99.8%	(*.f64 1/6 (pow.f64 x 3))

Compiler

Compiled 74 to 45 computations (39.2% saved)

series5.0ms (0%)

Counts

7 → 72

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))
0.0ms	x	@	0	(*.f64 1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2)))
0.0ms	x	@	0	(*.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))
0.0ms	x	@	-inf	(.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2)))

rewrite155.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1224×	`log-prod`
734×	`pow-prod-down`
594×	`pow-prod-up`
522×	`pow-unpow`
516×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	119
1	315	103
2	3612	103

Stop Event

1×	node limit

Counts

7 → 195

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 3))
(fma.f64 x -1/6 -1/2)
(.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2)))
(*.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))
(fma.f64 x -1/6 -1/2)
(.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2)))
(*.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))

Outputs
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 1/6)) 3)
(pow.f64 (*.f64 1/36 (pow.f64 x 6)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 9) 1/3)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 3/2) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 9))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (pow.f64 x 3))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))) 1) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 1/6))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (cbrt.f64 1/6)) 9)) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (cbrt.f64 1/6)) 3/2)) 2))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))
(+.f64 -1/2 (*.f64 x -1/6))
(+.f64 (*.f64 x -1/6) -1/2)
(+.f64 0 (fma.f64 x -1/6 -1/2))
(+.f64 (.f64 (.f64 x -1/6) 1) -1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/6 -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/6 -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/6 -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/6 -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/6 -1/2))) 1)
(*.f64 (fma.f64 x -1/6 -1/2) 1)
(*.f64 1 (fma.f64 x -1/6 -1/2))
(*.f64 (cbrt.f64 (fma.f64 x -1/6 -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x -1/6 -1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/6 -1/2)) 2) (cbrt.f64 (fma.f64 x -1/6 -1/2)))
(*.f64 (sqrt.f64 (fma.f64 x -1/6 -1/2)) (sqrt.f64 (fma.f64 x -1/6 -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x -1/6) 3) -1/8) (+.f64 (pow.f64 (.f64 x -1/6) 2) (-.f64 1/4 (.f64 (.f64 x -1/6) -1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x -1/6) 2) 1/4) (fma.f64 x -1/6 1/2))
(pow.f64 (fma.f64 x -1/6 -1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/6 -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/6 -1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 2))
(log.f64 (exp.f64 (fma.f64 x -1/6 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/6 -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -1/6 -1/2)))
(exp.f64 (log.f64 (fma.f64 x -1/6 -1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/6 -1/2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -1/6 -1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/6 -1/2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x -1/6 -1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/6 -1/2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x -1/6 -1/2)))
(+.f64 0 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) (.f64 (*.f64 x x) -1/2))
(+.f64 (.f64 (.f64 x -1/6) (.f64 x x)) (.f64 -1/2 (*.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))) 1)
(pow.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 6) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 2)
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/6 -1/2)) x) 2)
(neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 6))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
(exp.f64 (log.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2)))) 2))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x -1/6) (.f64 (.f64 x x) -1/2))
(fma.f64 (.f64 x -1/6) (.f64 x x) (.f64 -1/2 (.f64 x x)))
(+.f64 0 (*.f64 x (fma.f64 x -1/6 -1/2)))
(+.f64 (.f64 x (.f64 x -1/6)) (*.f64 x -1/2))
(+.f64 (.f64 (.f64 x -1/6) x) (*.f64 -1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))))
(-.f64 0 (*.f64 x (fma.f64 x -1/6 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 1)
(pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 2)
(neg.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -1/6 -1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/6 -1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x -1/6 -1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))
(fma.f64 x (.f64 x -1/6) (.f64 x -1/2))
(fma.f64 (.f64 x -1/6) x (.f64 -1/2 x))
(+.f64 -1/2 (*.f64 x -1/6))
(+.f64 (*.f64 x -1/6) -1/2)
(+.f64 0 (fma.f64 x -1/6 -1/2))
(+.f64 (.f64 (.f64 x -1/6) 1) -1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/6 -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/6 -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/6 -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/6 -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/6 -1/2))) 1)
(*.f64 (fma.f64 x -1/6 -1/2) 1)
(*.f64 1 (fma.f64 x -1/6 -1/2))
(*.f64 (cbrt.f64 (fma.f64 x -1/6 -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x -1/6 -1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/6 -1/2)) 2) (cbrt.f64 (fma.f64 x -1/6 -1/2)))
(*.f64 (sqrt.f64 (fma.f64 x -1/6 -1/2)) (sqrt.f64 (fma.f64 x -1/6 -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x -1/6) 3) -1/8) (+.f64 (pow.f64 (.f64 x -1/6) 2) (-.f64 1/4 (.f64 (.f64 x -1/6) -1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x -1/6) 2) 1/4) (fma.f64 x -1/6 1/2))
(pow.f64 (fma.f64 x -1/6 -1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/6 -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/6 -1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 2))
(log.f64 (exp.f64 (fma.f64 x -1/6 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/6 -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -1/6 -1/2)))
(exp.f64 (log.f64 (fma.f64 x -1/6 -1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/6 -1/2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -1/6 -1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/6 -1/2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x -1/6 -1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/6 -1/2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x -1/6 -1/2)))
(+.f64 0 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) (.f64 (*.f64 x x) -1/2))
(+.f64 (.f64 (.f64 x -1/6) (.f64 x x)) (.f64 -1/2 (*.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))) 1)
(pow.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 6) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 2)
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/6 -1/2)) x) 2)
(neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 6))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
(exp.f64 (log.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2)))) 2))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x -1/6) (.f64 (.f64 x x) -1/2))
(fma.f64 (.f64 x -1/6) (.f64 x x) (.f64 -1/2 (.f64 x x)))
(+.f64 0 (*.f64 x (fma.f64 x -1/6 -1/2)))
(+.f64 (.f64 x (.f64 x -1/6)) (*.f64 x -1/2))
(+.f64 (.f64 (.f64 x -1/6) x) (*.f64 -1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))))
(-.f64 0 (*.f64 x (fma.f64 x -1/6 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 1)
(pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 2)
(neg.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -1/6 -1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/6 -1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x -1/6 -1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))
(fma.f64 x (.f64 x -1/6) (.f64 x -1/2))
(fma.f64 (.f64 x -1/6) x (.f64 -1/2 x))

simplify356.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1918×	`fma-def`
1314×	`log-prod`
968×	`unswap-sqr`
590×	`fma-neg`
512×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	4603
1	569	4373
2	1840	4073
3	6500	4073

Stop Event

1×	node limit

Counts

267 → 143

Calls

Call 1

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

Outputs
-1/2
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(*.f64 -1/6 x)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(*.f64 -1/6 x)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
-1/2
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(*.f64 -1/6 x)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(*.f64 -1/6 x)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(-.f64 (*.f64 -1/6 x) 1/2)
(fma.f64 -1/6 x -1/2)
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3)))) 1)
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 1/6)) 3)
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (*.f64 1/36 (pow.f64 x 6)) 1/2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 9) 1/3)
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 3/2) 2)
(*.f64 1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))
(*.f64 1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 9))
(*.f64 1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (pow.f64 x 3))) 1))
(*.f64 1/6 (pow.f64 x 3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))) 1) 1))
(*.f64 1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 1/6))) 3))
(*.f64 1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (cbrt.f64 1/6)) 9)) 1/3))
(*.f64 1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (cbrt.f64 1/6)) 3/2)) 2))
(*.f64 1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 -1/2 (*.f64 x -1/6))
(fma.f64 -1/6 x -1/2)
(+.f64 (*.f64 x -1/6) -1/2)
(fma.f64 -1/6 x -1/2)
(+.f64 0 (fma.f64 x -1/6 -1/2))
(fma.f64 -1/6 x -1/2)
(+.f64 (.f64 (.f64 x -1/6) 1) -1/2)
(fma.f64 -1/6 x -1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/6 -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/6 -1/2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 x -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 x -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 x -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/6 -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/6 -1/2)))))
(fma.f64 -1/6 x -1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/6 -1/2))) 1)
(fma.f64 -1/6 x -1/2)
(*.f64 (fma.f64 x -1/6 -1/2) 1)
(fma.f64 -1/6 x -1/2)
(*.f64 1 (fma.f64 x -1/6 -1/2))
(fma.f64 -1/6 x -1/2)
(*.f64 (cbrt.f64 (fma.f64 x -1/6 -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x -1/6 -1/2)) 2))
(fma.f64 -1/6 x -1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/6 -1/2)) 2) (cbrt.f64 (fma.f64 x -1/6 -1/2)))
(fma.f64 -1/6 x -1/2)
(*.f64 (sqrt.f64 (fma.f64 x -1/6 -1/2)) (sqrt.f64 (fma.f64 x -1/6 -1/2)))
(fma.f64 -1/6 x -1/2)
(/.f64 (+.f64 (pow.f64 (.f64 x -1/6) 3) -1/8) (+.f64 (pow.f64 (.f64 x -1/6) 2) (-.f64 1/4 (.f64 (.f64 x -1/6) -1/2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/216) -1/8) (+.f64 (pow.f64 (.f64 -1/6 x) 2) (-.f64 1/4 (*.f64 x 1/12))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 -1/8) (-.f64 1/4 (-.f64 (.f64 x 1/12) (pow.f64 (.f64 -1/6 x) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 -1/8) (fma.f64 1/36 (*.f64 x x) (fma.f64 x -1/12 1/4)))
(/.f64 (-.f64 (pow.f64 (*.f64 x -1/6) 2) 1/4) (fma.f64 x -1/6 1/2))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/6 x) 2) -1/4) (fma.f64 x -1/6 1/2))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/6 x) 2) -1/4) (fma.f64 -1/6 x 1/2))
(/.f64 (fma.f64 1/36 (*.f64 x x) -1/4) (fma.f64 -1/6 x 1/2))
(pow.f64 (fma.f64 x -1/6 -1/2) 1)
(fma.f64 -1/6 x -1/2)
(pow.f64 (cbrt.f64 (fma.f64 x -1/6 -1/2)) 3)
(fma.f64 -1/6 x -1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 2) 1/2)
(fma.f64 -1/6 x -1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 3) 1/3)
(fma.f64 -1/6 x -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/6 -1/2)) 2)
(fma.f64 -1/6 x -1/2)
(sqrt.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 2))
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(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)) x))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 x 1/6 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 6))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(exp.f64 (log.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x))) 1))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))) 1) 1))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x)))) 3))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 6)) 1/3))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2)))) 2))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (.f64 x x) (.f64 x -1/6) (.f64 (.f64 x x) -1/2))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (.f64 x -1/6) (.f64 x x) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(+.f64 0 (*.f64 x (fma.f64 x -1/6 -1/2)))
(*.f64 x (fma.f64 -1/6 x -1/2))
(+.f64 (.f64 x (.f64 x -1/6)) (*.f64 x -1/2))
(*.f64 x (fma.f64 -1/6 x -1/2))
(+.f64 (.f64 (.f64 x -1/6) x) (*.f64 -1/2 x))
(*.f64 x (fma.f64 -1/6 x -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/6 x -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/6 x -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/6 x -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))))
(*.f64 x (fma.f64 -1/6 x -1/2))
(-.f64 0 (*.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 1)
(*.f64 x (fma.f64 -1/6 x -1/2))
(pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 1)
(*.f64 x (fma.f64 -1/6 x -1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 3)
(*.f64 x (fma.f64 -1/6 x -1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 2) 1/2)
(*.f64 x (fma.f64 -1/6 x -1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 3) 1/3)
(*.f64 x (fma.f64 -1/6 x -1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 2)
(*.f64 x (fma.f64 -1/6 x -1/2))
(neg.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 2))
(*.f64 x (fma.f64 -1/6 x -1/2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))
(*.f64 x (fma.f64 -1/6 x -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))))
(*.f64 x (fma.f64 -1/6 x -1/2))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 3))
(*.f64 x (fma.f64 -1/6 x -1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))
(*.f64 x (fma.f64 -1/6 x -1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))
(*.f64 x (fma.f64 -1/6 x -1/2))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -1/6 -1/2))) 1))
(*.f64 x (fma.f64 -1/6 x -1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 1) 1))
(*.f64 x (fma.f64 -1/6 x -1/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/6 -1/2)))) 3))
(*.f64 x (fma.f64 -1/6 x -1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 1/3))
(*.f64 x (fma.f64 -1/6 x -1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x -1/6 -1/2)))) 2))
(*.f64 x (fma.f64 -1/6 x -1/2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))
(*.f64 x (fma.f64 -1/6 x -1/2))
(fma.f64 x (.f64 x -1/6) (.f64 x -1/2))
(*.f64 x (fma.f64 -1/6 x -1/2))
(fma.f64 (.f64 x -1/6) x (.f64 -1/2 x))
(*.f64 x (fma.f64 -1/6 x -1/2))

eval366.0ms (3.3%)

Compiler: Compiled 3439 to 2339 computations (32% saved)

prune217.0ms (2%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	256	8	264
Fresh	0	3	3
Picked	2	1	3
Done	0	4	4
Total	258	16	274

Accuracy

100.0%

Counts

274 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.0%	(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
✓	75.2%	(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
✓	60.2%	(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))
▶	42.3%	(+.f64 x (.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2))))
▶	42.3%	(+.f64 x (.f64 x (.f64 1/6 (*.f64 x x))))
▶	42.3%	(+.f64 x (neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
	63.1%	(.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2)))
	60.2%	(.f64 x (.f64 x (*.f64 x 1/6)))
▶	60.2%	(.f64 x (.f64 1/6 (*.f64 x x)))
✓	73.7%	(*.f64 x x)
✓	60.2%	(*.f64 1/6 (pow.f64 x 3))
▶	67.0%	(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
	63.1%	(neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))
	3.7%	512
	3.8%	1/9
	21.2%	0
✓	89.0%	(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
✓	75.2%	(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
✓	60.2%	(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))
▶	42.3%	(+.f64 x (.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2))))
▶	42.3%	(+.f64 x (.f64 x (.f64 1/6 (*.f64 x x))))
▶	42.3%	(+.f64 x (neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
	63.1%	(.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2)))
	60.2%	(.f64 x (.f64 x (*.f64 x 1/6)))
▶	60.2%	(.f64 x (.f64 1/6 (*.f64 x x)))
✓	73.7%	(*.f64 x x)
✓	60.2%	(*.f64 1/6 (pow.f64 x 3))
▶	67.0%	(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
	63.1%	(neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))
	3.7%	512
	3.8%	1/9
	21.2%	0

Compiler

Compiled 420 to 294 computations (30% saved)

localize425.0ms (3.9%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
	99.8%	(fma.f64 x -1/6 -1/2)
✓	99.9%	(.f64 (neg.f64 x) (-.f64 (.f64 -1/6 x) 1/2))
✓	99.9%	(.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2)))
✓	99.6%	(*.f64 -1/6 x)
✓	99.9%	(.f64 x (.f64 1/6 (*.f64 x x)))
✓	99.7%	(.f64 1/6 (.f64 x x))
✓	99.9%	(.f64 x (.f64 1/6 (*.f64 x x)))
✓	99.7%	(.f64 1/6 (.f64 x x))
✓	99.9%	(*.f64 1/36 (pow.f64 x 6))
✓	85.8%	(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))

Compiler

Compiled 143 to 79 computations (44.8% saved)

series7.0ms (0.1%)

Counts

10 → 96

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/36 (pow.f64 x 6))
1.0ms	x	@	inf	(*.f64 1/36 (pow.f64 x 6))
0.0ms	x	@	inf	(.f64 1/6 (.f64 x x))
0.0ms	x	@	0	(.f64 1/6 (.f64 x x))
0.0ms	x	@	0	(.f64 (neg.f64 x) (-.f64 (.f64 -1/6 x) 1/2))

rewrite233.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`log-prod`
668×	`expm1-udef`
658×	`log1p-udef`
498×	`fma-def`
472×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	166
1	513	142
2	5928	142

Stop Event

1×	node limit

Counts

10 → 241

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(*.f64 1/36 (pow.f64 x 6))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 (*.f64 x x)))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 (*.f64 x x)))
(*.f64 -1/6 x)
(.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2)))
(.f64 (neg.f64 x) (-.f64 (.f64 -1/6 x) 1/2))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))

Outputs
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3)))) 1)
(.f64 x (.f64 x (*.f64 x 1/6)))
(*.f64 1/6 (pow.f64 x 3))
(.f64 (.f64 x x) (*.f64 x 1/6))
(.f64 (.f64 x (*.f64 x 1/6)) x)
(.f64 (.f64 1/6 (pow.f64 x 3)) 1)
(.f64 1 (.f64 1/6 (pow.f64 x 3)))
(.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (.f64 (cbrt.f64 (.f64 x (*.f64 x 1/6))) x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x (.f64 x 1/6))))
(.f64 (pow.f64 (.f64 (cbrt.f64 1/6) x) 2) (*.f64 (cbrt.f64 1/6) x))
(.f64 (.f64 (cbrt.f64 1/6) x) (pow.f64 (*.f64 (cbrt.f64 1/6) x) 2))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 (pow.f64 x 3) (pow.f64 1/36 1/2))
(.f64 (.f64 x (sqrt.f64 1/6)) (.f64 (.f64 x (sqrt.f64 1/6)) x))
(.f64 (.f64 (sqrt.f64 (.f64 x 1/6)) x) (.f64 (sqrt.f64 (*.f64 x 1/6)) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (.f64 x 1/6))))
(.f64 (.f64 x 1/6) (*.f64 x x))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/1296))) (sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 1/6) x) 2)))
(*.f64 (pow.f64 1/36 1/2) (pow.f64 x 3))
(.f64 (pow.f64 1 1/2) (.f64 1/6 (pow.f64 x 3)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/1296)) 1/2) (pow.f64 (pow.f64 (*.f64 (cbrt.f64 1/6) x) 2) 1/2))
(.f64 (.f64 (.f64 x 1/6) 1) (.f64 x x))
(.f64 (.f64 x (cbrt.f64 (.f64 1/36 (pow.f64 x 4)))) (cbrt.f64 (.f64 x (*.f64 x 1/6))))
(.f64 (.f64 x (.f64 x (sqrt.f64 1/6))) (.f64 x (sqrt.f64 1/6)))
(.f64 (.f64 (.f64 x (.f64 x 1/6)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (.f64 x (.f64 x 1/6)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 x 1/6) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 1/36 (pow.f64 x 6)) 1/2)
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (cbrt.f64 1/6) x) 3)
(pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 6)) 3/2) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 x 1/6)) x) 2)
(fabs.f64 (*.f64 1/6 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 6)) 3/2))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 x 1/6)) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (fma.f64 6 (log.f64 x) (log.f64 1/36)) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))
(+.f64 0 (*.f64 1/36 (pow.f64 x 6)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 x 6))) (cbrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 x 6))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 x 6)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 x 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/36 (pow.f64 x 6)))) 1)
(pow.f64 (*.f64 1/36 (pow.f64 x 6)) 1)
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 2)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 1/6) x) 2) 3)
(pow.f64 (*.f64 (pow.f64 x 12) 1/1296) 1/2)
(pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 6)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 12) 1/1296))
(log.f64 (pow.f64 (exp.f64 1/36) (pow.f64 x 6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/36 (pow.f64 x 6)))))
(cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 6)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/36 (pow.f64 x 6))))
(exp.f64 (fma.f64 6 (log.f64 x) (log.f64 1/36)))
(exp.f64 (*.f64 (fma.f64 6 (log.f64 x) (log.f64 1/36)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/36 (pow.f64 x 6))))
(+.f64 0 (.f64 x (.f64 x 1/6)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) 1)
(pow.f64 (.f64 x (.f64 x 1/6)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/6)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/6))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 1/36 (pow.f64 x 6)) 1/2)
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (cbrt.f64 1/6) x) 3)
(pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 6)) 3/2) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 x 1/6)) x) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(fabs.f64 (*.f64 1/6 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 6)) 3/2))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 x 1/6)) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (fma.f64 6 (log.f64 x) (log.f64 1/36)) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))
(+.f64 0 (.f64 x (.f64 x 1/6)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) 1)
(pow.f64 (.f64 x (.f64 x 1/6)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/6)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/6))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 1/36 (pow.f64 x 6)) 1/2)
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (cbrt.f64 1/6) x) 3)
(pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 6)) 3/2) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 x 1/6)) x) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(fabs.f64 (*.f64 1/6 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 6)) 3/2))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 x 1/6)) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (fma.f64 6 (log.f64 x) (log.f64 1/36)) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))
(+.f64 0 (*.f64 x -1/6))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) x)) (cbrt.f64 (pow.f64 (exp.f64 -1/6) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/6))) 1)
(pow.f64 (*.f64 x -1/6) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(pow.f64 (*.f64 -1/216 (pow.f64 x 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(sqrt.f64 (.f64 1/36 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -1/6) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/6))))
(cbrt.f64 (*.f64 -1/216 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(exp.f64 (log.f64 (*.f64 x -1/6)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(+.f64 0 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))
(+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) (.f64 (*.f64 x x) -1/2))
(+.f64 (.f64 (.f64 x -1/6) (.f64 x x)) (.f64 -1/2 (*.f64 x x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))) 1)
(/.f64 (.f64 (.f64 x x) (fma.f64 -1/216 (pow.f64 x 3) -1/8)) (fma.f64 1/36 (*.f64 x x) (fma.f64 x -1/12 1/4)))
(/.f64 (.f64 (.f64 x x) (fma.f64 1/36 (*.f64 x x) -1/4)) (fma.f64 x -1/6 1/2))
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 x 3) -1/8) (.f64 x x)) (fma.f64 1/36 (*.f64 x x) (fma.f64 x -1/12 1/4)))
(/.f64 (.f64 (fma.f64 1/36 (.f64 x x) -1/4) (*.f64 x x)) (fma.f64 x -1/6 1/2))
(pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 2)
(neg.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (*.f64 x x))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (fma.f64 x -1/6 -1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (fma.f64 x -1/6 -1/2)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -1/6 -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(fma.f64 (.f64 x x) (.f64 x -1/6) (.f64 (.f64 x x) -1/2))
(fma.f64 (.f64 x -1/6) (.f64 x x) (.f64 -1/2 (.f64 x x)))
(+.f64 0 (*.f64 x (fma.f64 x -1/6 -1/2)))
(+.f64 (.f64 x (.f64 x -1/6)) (*.f64 x -1/2))
(+.f64 (.f64 (.f64 x -1/6) x) (*.f64 -1/2 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) x))))
(-.f64 0 (*.f64 x (fma.f64 x -1/6 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 1)
(/.f64 (.f64 x (fma.f64 -1/216 (pow.f64 x 3) -1/8)) (fma.f64 1/36 (.f64 x x) (fma.f64 x -1/12 1/4)))
(/.f64 (.f64 x (fma.f64 1/36 (.f64 x x) -1/4)) (fma.f64 x -1/6 1/2))
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 x 3) -1/8) x) (fma.f64 1/36 (.f64 x x) (fma.f64 x -1/12 1/4)))
(/.f64 (.f64 (fma.f64 1/36 (.f64 x x) -1/4) x) (fma.f64 x -1/6 1/2))
(pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 2)
(neg.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -1/6 -1/2) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -1/6 -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))
(fma.f64 x (.f64 x -1/6) (.f64 x -1/2))
(fma.f64 (.f64 x -1/6) x (.f64 -1/2 x))
(+.f64 0 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))
(+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) (.f64 (*.f64 x x) -1/2))
(+.f64 (.f64 (.f64 x -1/6) (.f64 x x)) (.f64 -1/2 (*.f64 x x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))) 1)
(/.f64 (.f64 (.f64 x x) (fma.f64 -1/216 (pow.f64 x 3) -1/8)) (fma.f64 1/36 (*.f64 x x) (fma.f64 x -1/12 1/4)))
(/.f64 (.f64 (.f64 x x) (fma.f64 1/36 (*.f64 x x) -1/4)) (fma.f64 x -1/6 1/2))
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 x 3) -1/8) (.f64 x x)) (fma.f64 1/36 (*.f64 x x) (fma.f64 x -1/12 1/4)))
(/.f64 (.f64 (fma.f64 1/36 (.f64 x x) -1/4) (*.f64 x x)) (fma.f64 x -1/6 1/2))
(pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 2)
(neg.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (*.f64 x x))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (fma.f64 x -1/6 -1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (fma.f64 x -1/6 -1/2)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -1/6 -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(fma.f64 (.f64 x x) (.f64 x -1/6) (.f64 (.f64 x x) -1/2))
(fma.f64 (.f64 x -1/6) (.f64 x x) (.f64 -1/2 (.f64 x x)))

simplify231.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2004×	`log-prod`
1624×	`fma-neg`
490×	`associate-r`
448×	`associate-l`
372×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	369	6527
1	766	6231
2	2751	5899
3	5888	5791

Stop Event

1×	node limit

Counts

337 → 222

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 x)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
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(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -1/6 -1/2) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -1/6 -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))
(fma.f64 x (.f64 x -1/6) (.f64 x -1/2))
(fma.f64 (.f64 x -1/6) x (.f64 -1/2 x))
(+.f64 0 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))
(+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) (.f64 (*.f64 x x) -1/2))
(+.f64 (.f64 (.f64 x -1/6) (.f64 x x)) (.f64 -1/2 (*.f64 x x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))) 1)
(/.f64 (.f64 (.f64 x x) (fma.f64 -1/216 (pow.f64 x 3) -1/8)) (fma.f64 1/36 (*.f64 x x) (fma.f64 x -1/12 1/4)))
(/.f64 (.f64 (.f64 x x) (fma.f64 1/36 (*.f64 x x) -1/4)) (fma.f64 x -1/6 1/2))
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 x 3) -1/8) (.f64 x x)) (fma.f64 1/36 (*.f64 x x) (fma.f64 x -1/12 1/4)))
(/.f64 (.f64 (fma.f64 1/36 (.f64 x x) -1/4) (*.f64 x x)) (fma.f64 x -1/6 1/2))
(pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 2)
(neg.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (*.f64 x x))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (fma.f64 x -1/6 -1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (fma.f64 x -1/6 -1/2)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -1/6 -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(fma.f64 (.f64 x x) (.f64 x -1/6) (.f64 (.f64 x x) -1/2))
(fma.f64 (.f64 x -1/6) (.f64 x x) (.f64 -1/2 (.f64 x x)))

Outputs
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 x (fma.f64 1/6 x 1/2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 x (fma.f64 1/6 x 1/2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/6 (.f64 x x) (.f64 x 1/2))
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 x (fma.f64 1/6 x 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 x 3)))))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3)))) 1)
(*.f64 1/6 (pow.f64 x 3))
(.f64 x (.f64 x (*.f64 x 1/6)))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(.f64 (.f64 x x) (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 3))
(.f64 (.f64 x (*.f64 x 1/6)) x)
(*.f64 1/6 (pow.f64 x 3))
(.f64 (.f64 1/6 (pow.f64 x 3)) 1)
(*.f64 1/6 (pow.f64 x 3))
(.f64 1 (.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (.f64 (cbrt.f64 (.f64 x (*.f64 x 1/6))) x))
(.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (.f64 x (cbrt.f64 (.f64 1/6 (*.f64 x x)))))
(.f64 x (.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 1/6 (*.f64 x x)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x (.f64 x 1/6))))
(*.f64 1/6 (pow.f64 x 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 1/6) x) 2) (*.f64 (cbrt.f64 1/6) x))
(*.f64 1/6 (pow.f64 x 3))
(.f64 (.f64 (cbrt.f64 1/6) x) (pow.f64 (*.f64 (cbrt.f64 1/6) x) 2))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 1/36 1/2))
(*.f64 1/6 (pow.f64 x 3))
(.f64 (.f64 x (sqrt.f64 1/6)) (.f64 (.f64 x (sqrt.f64 1/6)) x))
(*.f64 1/6 (pow.f64 x 3))
(.f64 (.f64 (sqrt.f64 (.f64 x 1/6)) x) (.f64 (sqrt.f64 (*.f64 x 1/6)) x))
(*.f64 1/6 (pow.f64 x 3))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (.f64 x 1/6))))
(*.f64 1/6 (pow.f64 x 3))
(.f64 (.f64 x 1/6) (*.f64 x x))
(*.f64 1/6 (pow.f64 x 3))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/1296))) (sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 1/6) x) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/1296))) (sqrt.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/1296))) (fabs.f64 (*.f64 x (cbrt.f64 1/6))))
(.f64 (.f64 x (cbrt.f64 1/6)) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 12) 1/1296))))
(.f64 (.f64 x (cbrt.f64 1/6)) (sqrt.f64 (cbrt.f64 (*.f64 1/1296 (pow.f64 x 12)))))
(*.f64 (pow.f64 1/36 1/2) (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(.f64 (pow.f64 1 1/2) (.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/1296)) 1/2) (pow.f64 (pow.f64 (*.f64 (cbrt.f64 1/6) x) 2) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/1296))) (sqrt.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/1296))) (fabs.f64 (*.f64 x (cbrt.f64 1/6))))
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(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))) 3)
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))) 3) 1/3)
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 2)
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(neg.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 2) (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -1/6 -1/2) 2)))
(fabs.f64 (.f64 (.f64 x x) (fma.f64 x -1/6 -1/2)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (*.f64 x x)))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (fma.f64 x -1/6 -1/2)) (*.f64 x x))))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))) 3))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (fma.f64 x -1/6 -1/2)) 3)))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (fma.f64 x -1/6 -1/2)) 3) (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -1/6 -1/2) 3)))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/6 -1/2) 3) (pow.f64 x 6)))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)))) 1))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(fma.f64 (.f64 x x) (.f64 x -1/6) (.f64 (.f64 x x) -1/2))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(fma.f64 (.f64 x -1/6) (.f64 x x) (.f64 -1/2 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))

eval178.0ms (1.6%)

Compiler: Compiled 3846 to 2628 computations (31.7% saved)

prune91.0ms (0.8%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	283	3	286
Fresh	2	4	6
Picked	2	3	5
Done	1	4	5
Total	288	14	302

Accuracy

100.0%

Counts

302 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.0%	(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
✓	75.2%	(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
✓	60.2%	(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))
	42.3%	(+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))
✓	42.3%	(+.f64 x (.f64 x (.f64 1/6 (*.f64 x x))))
	60.2%	(.f64 (.f64 x (*.f64 x 1/6)) x)
	60.2%	(.f64 (.f64 x x) (*.f64 x 1/6))
	63.1%	(.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2)))
✓	60.2%	(.f64 x (.f64 1/6 (*.f64 x x)))
✓	73.7%	(*.f64 x x)
✓	67.0%	(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
	3.7%	512
	3.8%	1/9
	21.2%	0

Compiler

Compiled 279 to 173 computations (38% saved)

regimes62.0ms (0.6%)

Counts

22 → 2

Calls

Call 1

Inputs
0
1/9
512
(*.f64 x x)
(.f64 x (.f64 1/6 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x 1/6)))
(.f64 (.f64 x x) (*.f64 x 1/6))
(.f64 (.f64 x (*.f64 x 1/6)) x)
(+.f64 x (.f64 x (.f64 1/6 (*.f64 x x))))
(.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2)))
(+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))
(+.f64 x (.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2))))
(*.f64 1/6 (pow.f64 x 3))
(neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))
(.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2)))
(+.f64 x (neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
(+.f64 x (.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))))
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))

Outputs
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Calls

2 calls:

44.0ms	x
9.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 180 to 104 computations (42.2% saved)

regimes58.0ms (0.5%)

Counts

21 → 2

Calls

Call 1

Inputs
0
1/9
512
(*.f64 x x)
(.f64 x (.f64 1/6 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x 1/6)))
(.f64 (.f64 x x) (*.f64 x 1/6))
(.f64 (.f64 x (*.f64 x 1/6)) x)
(+.f64 x (.f64 x (.f64 1/6 (*.f64 x x))))
(.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2)))
(+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))
(+.f64 x (.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2))))
(*.f64 1/6 (pow.f64 x 3))
(neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))
(.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2)))
(+.f64 x (neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
(+.f64 x (.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))))
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))

Outputs
(*.f64 x x)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Calls

2 calls:

40.0ms	x
9.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.7%	2	`(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 172 to 99 computations (42.4% saved)

regimes47.0ms (0.4%)

Counts

19 → 2

Calls

Call 1

Inputs
0
1/9
512
(*.f64 x x)
(.f64 x (.f64 1/6 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x 1/6)))
(.f64 (.f64 x x) (*.f64 x 1/6))
(.f64 (.f64 x (*.f64 x 1/6)) x)
(+.f64 x (.f64 x (.f64 1/6 (*.f64 x x))))
(.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2)))
(+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))
(+.f64 x (.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2))))
(*.f64 1/6 (pow.f64 x 3))
(neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))
(.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2)))
(+.f64 x (neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
(+.f64 x (.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))))
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))

Outputs
(*.f64 x x)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))

Calls

1 calls:

39.0ms

Results

Accuracy	Segments	Branch
91.6%	2	`x`

Compiler

Compiled 147 to 85 computations (42.2% saved)

regimes206.0ms (1.9%)

Counts

18 → 2

Calls

Call 1

Inputs
0
1/9
512
(*.f64 x x)
(.f64 x (.f64 1/6 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x 1/6)))
(.f64 (.f64 x x) (*.f64 x 1/6))
(.f64 (.f64 x (*.f64 x 1/6)) x)
(+.f64 x (.f64 x (.f64 1/6 (*.f64 x x))))
(.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2)))
(+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))
(+.f64 x (.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2))))
(*.f64 1/6 (pow.f64 x 3))
(neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))
(.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2)))
(+.f64 x (neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
(+.f64 x (.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))))
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))

Outputs
(*.f64 x x)
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)))

Calls

1 calls:

197.0ms

Results

Accuracy	Segments	Branch
84.7%	2	`x`

Compiler

Compiled 141 to 80 computations (43.3% saved)

regimes115.0ms (1%)

Counts

17 → 2

Calls

Call 1

Inputs
0
1/9
512
(*.f64 x x)
(.f64 x (.f64 1/6 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x 1/6)))
(.f64 (.f64 x x) (*.f64 x 1/6))
(.f64 (.f64 x (*.f64 x 1/6)) x)
(+.f64 x (.f64 x (.f64 1/6 (*.f64 x x))))
(.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2)))
(+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))
(+.f64 x (.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2))))
(*.f64 1/6 (pow.f64 x 3))
(neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x)))
(.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2)))
(+.f64 x (neg.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
(+.f64 x (.f64 x (.f64 (neg.f64 x) (fma.f64 x -1/6 -1/2))))

Outputs
(*.f64 x x)
(+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))

Calls

1 calls:

101.0ms

Results

Accuracy	Segments	Branch
84.7%	2	`x`

Compiler

Compiled 124 to 70 computations (43.5% saved)

regimes54.0ms (0.5%)

Counts

10 → 2

Calls

Call 1

Inputs
0
1/9
512
(*.f64 x x)
(.f64 x (.f64 1/6 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x 1/6)))
(.f64 (.f64 x x) (*.f64 x 1/6))
(.f64 (.f64 x (*.f64 x 1/6)) x)
(+.f64 x (.f64 x (.f64 1/6 (*.f64 x x))))
(.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2)))

Outputs
(*.f64 x x)
(.f64 x (.f64 (neg.f64 x) (-.f64 (*.f64 -1/6 x) 1/2)))

Calls

1 calls:

46.0ms

Results

Accuracy	Segments	Branch
84.7%	2	`x`

Compiler

Compiled 56 to 31 computations (44.6% saved)

regimes52.0ms (0.5%)

Counts

9 → 2

Calls

Call 1

Inputs
0
1/9
512
(*.f64 x x)
(.f64 x (.f64 1/6 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x 1/6)))
(.f64 (.f64 x x) (*.f64 x 1/6))
(.f64 (.f64 x (*.f64 x 1/6)) x)
(+.f64 x (.f64 x (.f64 1/6 (*.f64 x x))))

Outputs
(*.f64 x x)
(+.f64 x (.f64 x (.f64 1/6 (*.f64 x x))))

Calls

1 calls:

45.0ms

Results

Accuracy	Segments	Branch
84.7%	2	`x`

Compiler

Compiled 46 to 24 computations (47.8% saved)

regimes49.0ms (0.4%)

Counts

8 → 2

Calls

Call 1

Inputs
0
1/9
512
(*.f64 x x)
(.f64 x (.f64 1/6 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x 1/6)))
(.f64 (.f64 x x) (*.f64 x 1/6))
(.f64 (.f64 x (*.f64 x 1/6)) x)

Outputs
(*.f64 x x)
(.f64 x (.f64 1/6 (*.f64 x x)))

Calls

1 calls:

42.0ms

Results

Accuracy	Segments	Branch
84.7%	2	`x`

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes19.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
0
1/9
512
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
73.7%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes19.0ms (0.2%)

Accuracy

Total -12.0b remaining (-23.8%)

Threshold costs -12b (-23.8%)

Counts

3 → 1

Calls

Call 1

Inputs
0
1/9
512

Outputs
0

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
21.2%	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.946987429756746e-11	0.02886172485482119

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.946987429756746e-11	0.02886172485482119

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch52.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	0.16968374747243364	2006898.4458045235

Results

47.0ms

144×

body

256

valid

Compiler

Compiled 130 to 100 computations (23.1% saved)

bsearch47.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
46.0ms	8.33485609403419e-6	0.16968374747243364

Results

39.0ms

128×

body

256

valid

Compiler

Compiled 205 to 146 computations (28.8% saved)

bsearch51.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
51.0ms	0.16968374747243364	2006898.4458045235

Results

45.0ms

144×

body

256

valid

Compiler

Compiled 175 to 118 computations (32.6% saved)

bsearch50.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	0.16968374747243364	2006898.4458045235

Results

44.0ms

144×

body

256

valid

Compiler

Compiled 166 to 118 computations (28.9% saved)

bsearch51.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	0.16968374747243364	2006898.4458045235

Results

45.0ms

144×

body

256

valid

Compiler

Compiled 157 to 100 computations (36.3% saved)

bsearch82.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
82.0ms	0.16968374747243364	2006898.4458045235

Results

77.0ms

144×

body

256

valid

Compiler

Compiled 139 to 91 computations (34.5% saved)

simplify118.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

172×	`distribute-lft-neg-in`
158×	`neg-mul-1`
148×	`unsub-neg`
106×	`neg-sub0`
98×	`distribute-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	420
1	97	420
2	123	420
3	156	416
4	212	416
5	319	416
6	484	416
7	597	416
8	680	416
9	731	416
10	755	416
11	762	416

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 7737125245533627/77371252455336267181195264) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 7737125245533627/77371252455336267181195264) (*.f64 x x) (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))))
(if (<=.f64 x 6) (.f64 x x) (sqrt.f64 (.f64 1/36 (pow.f64 x 6))))
(if (<=.f64 x 7378697629483821/73786976294838206464) (.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x -1/6))) x))))
(if (<=.f64 x 3/2) (.f64 x x) (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x)))))
(if (<=.f64 x 3) (.f64 x x) (.f64 x (.f64 (neg.f64 x) (-.f64 (.f64 -1/6 x) 1/2))))
(if (<=.f64 x 2589569785738035/562949953421312) (.f64 x x) (+.f64 x (.f64 x (.f64 1/6 (.f64 x x)))))
(if (<=.f64 x 6) (.f64 x x) (.f64 x (.f64 1/6 (.f64 x x))))
(*.f64 x x)
0

Outputs
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 7737125245533627/77371252455336267181195264) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 7737125245533627/77371252455336267181195264) (*.f64 x x) (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))))
(if (<=.f64 x 6) (.f64 x x) (sqrt.f64 (.f64 1/36 (pow.f64 x 6))))
(if (<=.f64 x 7378697629483821/73786976294838206464) (.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x -1/6))) x))))
(if (<=.f64 x 7378697629483821/73786976294838206464) (.f64 x x) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (-.f64 x (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x -1/6)))))))
(if (<=.f64 x 3/2) (.f64 x x) (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x)))))
(if (<=.f64 x 3/2) (.f64 x x) (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (.f64 x 1/6)))))
(if (<=.f64 x 3) (.f64 x x) (.f64 x (.f64 (neg.f64 x) (-.f64 (.f64 -1/6 x) 1/2))))
(if (<=.f64 x 3) (.f64 x x) (.f64 x (.f64 (neg.f64 x) (-.f64 (.f64 x -1/6) 1/2))))
(if (<=.f64 x 3) (.f64 x x) (.f64 x (.f64 x (neg.f64 (-.f64 (.f64 x -1/6) 1/2)))))
(if (<=.f64 x 3) (.f64 x x) (.f64 x (.f64 x (-.f64 1/2 (.f64 x -1/6)))))
(if (<=.f64 x 2589569785738035/562949953421312) (.f64 x x) (+.f64 x (.f64 x (.f64 1/6 (.f64 x x)))))
(if (<=.f64 x 2589569785738035/562949953421312) (.f64 x x) (+.f64 x (.f64 x (.f64 (.f64 x x) 1/6))))
(if (<=.f64 x 6) (.f64 x x) (.f64 x (.f64 1/6 (.f64 x x))))
(if (<=.f64 x 6) (.f64 x x) (.f64 x (.f64 (.f64 x x) 1/6)))
(*.f64 x x)
0

Compiler

Compiled 164 to 101 computations (38.4% saved)

soundness1.7s (15.9%)

Rules

2168×	`fma-def`
2004×	`log-prod`
1918×	`fma-def`
1918×	`fma-def`
1624×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	36	75
2	74	75
3	136	75
4	300	75
5	794	75
6	2614	75
7	5873	75
0	67	454
1	125	446
2	269	440
3	867	428
4	3954	428
0	10	50
1	221	50
2	3121	50
0	67	454
1	125	446
2	269	440
3	867	428
4	3954	428
0	67	454
1	125	446
2	269	440
3	867	428
4	3954	428
0	428	11895
1	1084	9975
2	3230	7929
0	265	4603
1	569	4373
2	1840	4073
3	6500	4073
0	428	11895
1	1084	9975
2	3230	7929
0	369	6527
1	766	6231
2	2751	5899
3	5888	5791
0	15	119
1	315	103
2	3612	103
0	265	4603
1	569	4373
2	1840	4073
3	6500	4073

Stop Event

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

Compiler

Compiled 969 to 621 computations (35.9% saved)

end0.0ms (0%)

preprocess435.0ms (4%)

Remove: (abs x)
Compiler: Compiled 402 to 226 computations (43.8% saved)

Iter	Nodes	Cost
0	67	420
1	97	420
2	123	420
3	156	416
4	212	416
5	319	416
6	484	416
7	597	416
8	680	416
9	731	416
10	755	416
11	762	416

Iter	Nodes	Cost
0	67	420
1	97	420
2	123	420
3	156	416
4	212	416
5	319	416
6	484	416
7	597	416
8	680	416
9	731	416
10	755	416
11	762	416

analyze0.0ms (0%)

sample3.5s (31.6%)

preprocess77.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize65.0ms (0.6%)

series1.0ms (0%)

rewrite81.0ms (0.7%)

simplify55.0ms (0.5%)

eval12.0ms (0.1%)

prune35.0ms (0.3%)

localize366.0ms (3.3%)

series13.0ms (0.1%)

rewrite154.0ms (1.4%)

simplify322.0ms (2.9%)

eval331.0ms (3%)

prune124.0ms (1.1%)

localize279.0ms (2.6%)

series5.0ms (0%)

rewrite155.0ms (1.4%)

simplify356.0ms (3.3%)

eval366.0ms (3.3%)

prune217.0ms (2%)

localize425.0ms (3.9%)

series7.0ms (0.1%)

rewrite233.0ms (2.1%)

simplify231.0ms (2.1%)

eval178.0ms (1.6%)

prune91.0ms (0.8%)

regimes62.0ms (0.6%)

regimes58.0ms (0.5%)

regimes47.0ms (0.4%)

regimes206.0ms (1.9%)

regimes115.0ms (1%)

regimes54.0ms (0.5%)

regimes52.0ms (0.5%)

regimes49.0ms (0.4%)

regimes19.0ms (0.2%)

regimes19.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch52.0ms (0.5%)

bsearch47.0ms (0.4%)

bsearch51.0ms (0.5%)

bsearch50.0ms (0.5%)

bsearch51.0ms (0.5%)

bsearch82.0ms (0.7%)

simplify118.0ms (1.1%)

soundness1.7s (15.9%)

end0.0ms (0%)

preprocess435.0ms (4%)

Profiling

Iter	Nodes	Cost
0	67	420
1	97	420
2	123	420
3	156	416
4	212	416
5	319	416
6	484	416
7	597	416
8	680	416
9	731	416
10	755	416
11	762	416