Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
80%	50%	12.5%	0%	37.5%	0%	0%	5
88.9%	50%	6.2%	0%	43.7%	0%	0%	6
94.1%	50%	3.1%	0%	46.9%	0%	0%	7
97%	50%	1.6%	0%	48.4%	0%	0%	8
98.5%	50%	0.8%	0%	49.2%	0%	0%	9
99.2%	50.4%	0.4%	0%	49.2%	0%	0%	10
99.6%	50.4%	0.2%	0%	49.4%	0%	0%	11
99.8%	50.4%	0.1%	0%	49.5%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample3.5s (93.3%)

Results

2.6s	4262×	body	2048	valid
617.0ms	2055×	body	1024	valid
172.0ms	1016×	body	512	valid
83.0ms	923×	body	256	valid
1.0ms	13×	body	256	infinite

Bogosity

preprocess72.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

1244×	`fma-def`
908×	`associate-/r*`
792×	`associate-/l*`
784×	`associate-+r-`
752×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	22	25
2	37	25
3	59	25
4	127	25
5	289	25
6	763	25
7	1728	25
8	2934	25
9	6838	25
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify78.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1244×	`fma-def`
908×	`associate-/r*`
792×	`associate-/l*`
784×	`associate-+r-`
752×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	22	25
2	37	25
3	59	25
4	127	25
5	289	25
6	763	25
7	1728	25
8	2934	25
9	6838	25

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

eval1.0ms (0%)

Compiler: Compiled 41 to 19 computations (53.7% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

51.6%

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	51.6%	(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(-.f64 2 (exp.f64 x))
✓	93.3%	(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))

Compiler

Compiled 22 to 10 computations (54.5% 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))

rewrite84.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`associate-*r/`
910×	`associate-*l/`
842×	`*-commutative`
574×	`distribute-lft-in`
560×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	221	32
2	3089	32

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
((((x +.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))) (((x +.f64 (exp.f64 x) (+.f64 (+.f64 (exp.f64 x) -2) (fma.f64 (+.f64 (exp.f64 x) -2) 1 (-.f64 2 (exp.f64 x))))))) (((x +.f64 (exp.f64 x) (+.f64 (+.f64 (exp.f64 x) -2) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))))))) (((x +.f64 (exp.f64 x) (+.f64 (+.f64 (exp.f64 x) -2) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (fma.f64 (+.f64 (exp.f64 x) -2) 1 (-.f64 2 (exp.f64 x)))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (+.f64 (fma.f64 (+.f64 (exp.f64 x) -2) 1 (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 x) -2) 1 (-.f64 2 (exp.f64 x))))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 x) -2) 1 (-.f64 2 (exp.f64 x))))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 x) -2) 1 (-.f64 2 (exp.f64 x))))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (+.f64 (fma.f64 (+.f64 (exp.f64 x) -2) 1 (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (+.f64 (fma.f64 (+.f64 (exp.f64 x) -2) 1 (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (.f64 1 (fma.f64 (+.f64 (exp.f64 x) -2) 1 (-.f64 2 (exp.f64 x))))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))))))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (.f64 (fma.f64 (+.f64 (exp.f64 x) -2) 1 (-.f64 2 (exp.f64 x))) 1)))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) 1)))) (((x +.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) 1)))) (((x +.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x)))) (((x +.f64 (+.f64 (exp.f64 x) -2) (neg.f64 (neg.f64 (exp.f64 x)))))) (((x +.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (fma.f64 (+.f64 (exp.f64 x) -2) 1 (-.f64 2 (exp.f64 x))))))) (((x +.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))))))) (((x +.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))))))) (((x +.f64 -2 (+.f64 (neg.f64 (neg.f64 (exp.f64 x))) (exp.f64 x))))) (((x +.f64 (fma.f64 (+.f64 (exp.f64 x) -2) 1 (-.f64 2 (exp.f64 x))) (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))) (((x +.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))) (((x +.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))) (((x +.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2))) (((x +.f64 (-.f64 (exp.f64 x) (exp.f64 (log.f64 (-.f64 3 (exp.f64 x))))) 1))) (((x +.f64 (-.f64 (exp.f64 x) (/.f64 4 (+.f64 (exp.f64 x) 2))) (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 2))))) (((x +.f64 (-.f64 (exp.f64 x) (/.f64 8 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))) (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))))) (((x +.f64 (-.f64 (+.f64 (exp.f64 x) -2) 0) (exp.f64 x)))) (((x .f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) 1))) (((x .f64 1 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))) (((x .f64 (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))) (((x .f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) 2)))) (((x .f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))) (((x .f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (-.f64 2 (exp.f64 x)) 2)) (/.f64 1 (+.f64 2 (-.f64 (exp.f64 x) (exp.f64 x))))))) (((x .f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (-.f64 2 (exp.f64 x)) (+.f64 2 (-.f64 (exp.f64 x) (exp.f64 x))))))))) (((x .f64 (+.f64 (sqrt.f64 (-.f64 2 (exp.f64 x))) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 2 (exp.f64 x))))))) (((x .f64 (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 2 (exp.f64 x)))) (+.f64 (sqrt.f64 (-.f64 2 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (((x .f64 (/.f64 1 (+.f64 2 (-.f64 (exp.f64 x) (exp.f64 x)))) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (-.f64 2 (exp.f64 x)) 2))))) (((x .f64 (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (-.f64 2 (exp.f64 x)) (+.f64 2 (-.f64 (exp.f64 x) (exp.f64 x)))))) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3))))) (((x .f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (-.f64 2 (exp.f64 x)) 2)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (-.f64 2 (exp.f64 x)) 2))) (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))) (((x .f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (-.f64 2 (exp.f64 x)) 2)) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 2) (.f64 (exp.f64 x) (-.f64 2 (exp.f64 x)))))))) (((x .f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (-.f64 2 (exp.f64 x)) 2)) (+.f64 (exp.f64 x) (+.f64 2 (.f64 (exp.f64 x) (-.f64 4 (pow.f64 (exp.f64 x) 2)))))) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))) (((x .f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (-.f64 2 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(+.f64 (exp.f64 x) -2)))))) (((x fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2)))) (((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2)))) (((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2)))))
((((x +.f64 2 (neg.f64 (exp.f64 x))))) (((x +.f64 (neg.f64 (exp.f64 x)) 2))) (((x +.f64 (-.f64 2 (exp.f64 (log1p.f64 (exp.f64 x)))) 1))) (((x .f64 (-.f64 2 (exp.f64 x)) 1))) (((x .f64 1 (-.f64 2 (exp.f64 x))))) (((x .f64 (sqrt.f64 (-.f64 2 (exp.f64 x))) (sqrt.f64 (-.f64 2 (exp.f64 x)))))) (((x .f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2)))) (((x .f64 (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (cbrt.f64 (-.f64 2 (exp.f64 x)))))) (((x .f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 (exp.f64 x) 2))))) (((x .f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))))) (((x .f64 (/.f64 1 (+.f64 (exp.f64 x) 2)) (-.f64 4 (pow.f64 (exp.f64 x) 2))))) (((x .f64 (/.f64 1 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))) (-.f64 8 (pow.f64 (exp.f64 x) 3))))) (((x .f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 4 (pow.f64 (exp.f64 x) 2))) (-.f64 2 (exp.f64 x))))) (((x .f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (+.f64 8 (pow.f64 (exp.f64 x) 3))) (+.f64 4 (-.f64 (pow.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) 2)))))) (((x .f64 (/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (-.f64 16 (.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))) (-.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))) (((x .f64 (/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (+.f64 64 (pow.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)) 3))) (+.f64 16 (-.f64 (.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))) (.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))))) (((x /.f64 1 (/.f64 1 (-.f64 2 (exp.f64 x)))))) (((x /.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 2)))) (((x /.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))) (((x /.f64 (sqrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3))) (/.f64 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3))))))) (((x /.f64 (sqrt.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2))) (/.f64 (+.f64 (exp.f64 x) 2) (sqrt.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2))))))) (((x /.f64 (.f64 (cbrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)))) (/.f64 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))) (cbrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3))))))) (((x /.f64 (.f64 (cbrt.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)))) (/.f64 (+.f64 (exp.f64 x) 2) (cbrt.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2))))))) (((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2))) (neg.f64 (+.f64 (exp.f64 x) 2))))) (((x /.f64 (neg.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))))) (((x /.f64 (-.f64 4 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))) (+.f64 (exp.f64 x) 2)))) (((x /.f64 (-.f64 16 (/.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (exp.f64 x) 2) 4))))) (((x /.f64 (-.f64 64 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3))) (.f64 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))) (+.f64 8 (pow.f64 (exp.f64 x) 3)))))) (((x /.f64 (+.f64 8 (pow.f64 (neg.f64 (exp.f64 x)) 3)) (+.f64 4 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))) (.f64 2 (neg.f64 (exp.f64 x)))))))) (((x /.f64 (-.f64 64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3)) (.f64 (+.f64 (exp.f64 x) 2) (+.f64 (+.f64 16 (/.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 x))) (.f64 (pow.f64 (exp.f64 x) 2) 4)))))) (((x /.f64 (-.f64 512 (pow.f64 (pow.f64 (exp.f64 x) 3) 3)) (.f64 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))) (+.f64 64 (+.f64 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)) (.f64 8 (pow.f64 (exp.f64 x) 3)))))))) (((x /.f64 (.f64 1 (neg.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)))) (neg.f64 (+.f64 (exp.f64 x) 2))))) (((x /.f64 (.f64 1 (neg.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)))) (neg.f64 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))))) (((x /.f64 (.f64 1 (-.f64 4 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))))) (+.f64 (exp.f64 x) 2)))) (((x /.f64 (.f64 1 (+.f64 8 (pow.f64 (neg.f64 (exp.f64 x)) 3))) (+.f64 4 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))) (.f64 2 (neg.f64 (exp.f64 x)))))))) (((x /.f64 (.f64 (sqrt.f64 (-.f64 2 (exp.f64 x))) (sqrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))))) (((x /.f64 (.f64 (sqrt.f64 (-.f64 2 (exp.f64 x))) (sqrt.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (+.f64 (exp.f64 x) 2))))) (((x /.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (cbrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))))) (((x /.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (cbrt.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (+.f64 (exp.f64 x) 2))))) (((x /.f64 (.f64 (neg.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2))) 1) (neg.f64 (+.f64 (exp.f64 x) 2))))) (((x /.f64 (.f64 (neg.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3))) 1) (neg.f64 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))))) (((x /.f64 (.f64 (-.f64 4 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))) 1) (+.f64 (exp.f64 x) 2)))) (((x /.f64 (.f64 (+.f64 8 (pow.f64 (neg.f64 (exp.f64 x)) 3)) 1) (+.f64 4 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))) (.f64 2 (neg.f64 (exp.f64 x)))))))) (((x /.f64 (.f64 (sqrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))))) (((x /.f64 (.f64 (sqrt.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (+.f64 (exp.f64 x) 2))))) (((x /.f64 (.f64 (cbrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))))) (((x /.f64 (.f64 (cbrt.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 (exp.f64 x) 2))))) (((x /.f64 (.f64 (-.f64 16 (/.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 x))) (/.f64 1 (+.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (exp.f64 x) 2) 4)))) (((x /.f64 (.f64 (-.f64 64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3)) (/.f64 1 (+.f64 (exp.f64 x) 2))) (+.f64 (+.f64 16 (/.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 x))) (.f64 (pow.f64 (exp.f64 x) 2) 4))))) (((x /.f64 (.f64 (-.f64 64 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3))) (/.f64 1 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))) (+.f64 8 (pow.f64 (exp.f64 x) 3))))) (((x /.f64 (.f64 (-.f64 512 (pow.f64 (pow.f64 (exp.f64 x) 3) 3)) (/.f64 1 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))) (+.f64 64 (+.f64 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)) (.f64 8 (pow.f64 (exp.f64 x) 3))))))) (((x /.f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) 1) (+.f64 (exp.f64 x) 2)))) (((x /.f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (sqrt.f64 (+.f64 (exp.f64 x) 2))) (sqrt.f64 (+.f64 (exp.f64 x) 2))))) (((x /.f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) 2)) (cbrt.f64 (+.f64 (exp.f64 x) 2)))) (cbrt.f64 (+.f64 (exp.f64 x) 2))))) (((x /.f64 (/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))) (((x /.f64 (/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (sqrt.f64 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))) (sqrt.f64 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))))) (((x /.f64 (/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (.f64 (cbrt.f64 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))) (cbrt.f64 (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))) (cbrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))))) (((x pow.f64 (-.f64 2 (exp.f64 x)) 1))) (((x pow.f64 (sqrt.f64 (-.f64 2 (exp.f64 x))) 2))) (((x pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 3))) (((x pow.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 3) 1/3))) (((x sqrt.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 2)))) (((x log.f64 (exp.f64 (-.f64 2 (exp.f64 x)))))) (((x log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (exp.f64 x))))))) (((x cbrt.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 3)))) (((x expm1.f64 (log.f64 (-.f64 3 (exp.f64 x)))))) (((x exp.f64 (log.f64 (-.f64 2 (exp.f64 x)))))) (((x log1p.f64 (expm1.f64 (-.f64 2 (exp.f64 x)))))))

Outputs

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Details

analyze3.0ms (0.1%)

sample3.5s (93.3%)

preprocess72.0ms (1.9%)

simplify78.0ms (2.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite84.0ms (2.3%)

end0.0ms (0%)

Profiling