Details

analyze62.0ms (0.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.9%	99.1%	0%	0%	0%	0
0%	0%	0.9%	99.1%	0%	0%	0%	1
0%	0%	0.9%	99.1%	0%	0%	0%	2
50%	0.4%	0.4%	99.1%	0%	0%	0%	3
50%	0.4%	0.4%	99.1%	0%	0%	0%	4
75%	0.6%	0.2%	99.1%	0%	0%	0%	5
75%	0.6%	0.2%	99.1%	0%	0%	0%	6
87.5%	0.7%	0.1%	99.1%	0%	0%	0%	7
87.5%	0.7%	0.1%	99.1%	0%	0%	0%	8
93.7%	0.8%	0.1%	99.1%	0%	0%	0%	9
93.7%	0.8%	0.1%	99.1%	0%	0%	0%	10
96.9%	0.8%	0%	99.1%	0%	0%	0%	11
96.9%	0.8%	0%	99.1%	0%	0%	0%	12

Compiler

Compiled 32 to 24 computations (25% saved)

sample2.0s (14.4%)

Results

2.0s

8256×

body

256

valid

Bogosity

preprocess138.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1380×	`fma-def`
974×	`associate--r+`
852×	`*-commutative`
846×	`associate-+r+`
820×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	90
1	37	74
2	65	74
3	122	74
4	232	74
5	476	74
6	757	74
7	1162	74
8	2509	74
9	3037	74
10	3541	74
11	4167	74
12	4832	74
13	6584	74
14	7230	74
15	7854	74
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
(+.f32 1 (.f32 u (log.f32 (+.f32 v (.f32 (-.f32 1 v) (exp.f32 (/.f32 -2 u)))))))

Outputs
(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(+.f32 1 (.f32 u (log.f32 (+.f32 v (.f32 (-.f32 1 v) (exp.f32 (/.f32 -2 u)))))))
(fma.f32 u (log.f32 (fma.f32 (-.f32 1 v) (exp.f32 (/.f32 -2 u)) v)) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify225.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

5556×	`fma-def`
4400×	`associate-+r+`
890×	`+-commutative`
508×	`distribute-lft-in`
482×	`distribute-lft-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	23	37
2	38	37
3	63	37
4	120	37
5	249	37
6	384	37
7	568	37
8	1219	37
9	1470	37
10	1571	37
11	1606	37
12	1648	37
13	1812	37
14	2040	37
15	2332	37
16	2690	37
17	2776	37
18	2783	37
19	3159	37
20	3650	37
21	3876	37
22	3981	37
23	3981	37
24	3981	37
25	3981	37
26	5989	37
27	5989	37
28	5989	37
29	5989	37

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))

Outputs
(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)

eval1.0ms (0%)

Compiler: Compiled 30 to 22 computations (26.7% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
▶	0.1b	(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))

Compiler

Compiled 32 to 24 computations (25% saved)

localize64.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
✓	0.0b	(log.f32 (+.f32 u (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))
✓	0.1b	(exp.f32 (/.f32 -2 v))
✓	0.3b	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))))

Compiler

Compiled 73 to 52 computations (28.8% saved)

series90.0ms (0.7%)

Counts

4 → 80

Calls

21 calls:

Time	Variable		Point	Expression
41.0ms	v	@	0	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))))
35.0ms	u	@	inf	(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
7.0ms	v	@	inf	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))))
1.0ms	v	@	-inf	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))))
1.0ms	u	@	-inf	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))))

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1858×	`associate-*r/`
1488×	`associate-*l/`
396×	`associate-+l+`
328×	`add-sqr-sqrt`
318×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	128
1	318	112
2	4184	112

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

Inputs
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))))
(exp.f32 (/.f32 -2 v))
(log.f32 (+.f32 u (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))
(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (+.f32 (/.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (-.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 -2 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (exp.f32 (/.f32 -2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (exp.f32 (/.f32 -2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (exp.f32 (/.f32 -2 v))) (sqrt.f32 (exp.f32 (/.f32 -2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (exp.f32 (/.f32 -2 v))) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 -2 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 -2 v))) 2) (cbrt.f32 (exp.f32 (/.f32 -2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (/.f32 -2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (exp.f32 (/.f32 -2 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (exp.f32 (/.f32 -2 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (/.f32 -2 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 -2) (/.f32 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 -2 v)) 2)) (cbrt.f32 (/.f32 -2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (/.f32 -2 v))) (sqrt.f32 (/.f32 -2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (exp.f32 (/.f32 -2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 -2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (exp.f32 (/.f32 -2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (exp.f32 (/.f32 -2 v))))))))
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(#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 1 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (/.f32 1 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) 3)) (/.f32 1 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (+.f32 1 (-.f32 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (E.f32) (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log1p.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log1p.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) v 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (cbrt.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)))))

simplify162.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1570×	`associate-*r/`
702×	`fma-def`
606×	`associate-r`
564×	`times-frac`
552×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	526	14838
1	1403	14182
2	6151	14178

Stop Event

1×	node limit

Counts

200 → 332

Calls

Call 1

Inputs
(.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v)
(.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v)
(.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v)
(.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v)
(*.f32 -2 (-.f32 1 u))
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)))
(+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)) (.f32 1/6 (/.f32 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 2)))))
(+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)) (+.f32 (.f32 1/24 (/.f32 (+.f32 (.f32 -48 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 -96 (pow.f32 (-.f32 1 u) 4)) (+.f32 (.f32 16 (-.f32 1 u)) (+.f32 (.f32 192 (pow.f32 (-.f32 1 u) 3)) (.f32 -64 (pow.f32 (-.f32 1 u) 2)))))) (pow.f32 v 3))) (.f32 1/6 (/.f32 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 2))))))
(*.f32 -2 (-.f32 1 u))
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)))
(+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)) (.f32 -1/6 (/.f32 (+.f32 (.f32 -24 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 8 (-.f32 1 u)) (.f32 16 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 2)))))
(+.f32 (.f32 1/24 (/.f32 (+.f32 (.f32 -48 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 -96 (pow.f32 (-.f32 1 u) 4)) (+.f32 (.f32 192 (pow.f32 (-.f32 1 u) 3)) (+.f32 (.f32 16 (-.f32 1 u)) (.f32 -64 (pow.f32 (-.f32 1 u) 2)))))) (pow.f32 v 3))) (+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)) (.f32 -1/6 (/.f32 (+.f32 (.f32 -24 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 8 (-.f32 1 u)) (.f32 16 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 2))))))
-2
(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 2)
(-.f32 (+.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) (.f32 -1/2 (/.f32 (.f32 v (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (pow.f32 u 2))) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)))) 2)
(-.f32 (+.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 v (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (pow.f32 u 2))) (pow.f32 (exp.f32 (/.f32 -2 v)) 2))) (.f32 1/3 (/.f32 (.f32 v (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3) (pow.f32 u 3))) (pow.f32 (exp.f32 (/.f32 -2 v)) 3))))) 2)
(.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (*.f32 -1 (exp.f32 (/.f32 -2 v)))))))
(+.f32 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) u)) (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))))))
(+.f32 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) u)) (+.f32 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))))) (.f32 -1/2 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (pow.f32 u 2))))))
(+.f32 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) u)) (+.f32 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))))) (+.f32 (.f32 1/3 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3) (pow.f32 u 3)))) (.f32 -1/2 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (pow.f32 u 2)))))))
(.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))
(+.f32 (.f32 -1 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) u))) (.f32 v (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)))))
(+.f32 (.f32 -1 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) u))) (+.f32 (.f32 -1/2 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2) (pow.f32 u 2)))) (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))))
(+.f32 (.f32 -1 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) u))) (+.f32 (.f32 -1/3 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 3) (pow.f32 u 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2) (pow.f32 u 2)))) (.f32 v (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)))))))
1
(-.f32 1 (*.f32 2 (/.f32 1 v)))
(-.f32 (+.f32 1 (.f32 2 (/.f32 1 (pow.f32 v 2)))) (.f32 2 (/.f32 1 v)))
(-.f32 (+.f32 1 (.f32 2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (*.f32 2 (/.f32 1 v))))
1
(-.f32 1 (*.f32 2 (/.f32 1 v)))
(-.f32 (+.f32 1 (.f32 2 (/.f32 1 (pow.f32 v 2)))) (.f32 2 (/.f32 1 v)))
(-.f32 (+.f32 1 (.f32 2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (*.f32 2 (/.f32 1 v))))
(/.f32 -2 v)
(-.f32 (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)) (.f32 2 (/.f32 1 v)))
(-.f32 (+.f32 (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)) (.f32 -1/2 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (pow.f32 u 2)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)))) (*.f32 2 (/.f32 1 v)))
(-.f32 (+.f32 (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (pow.f32 u 2)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2))) (.f32 1/3 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3) (pow.f32 u 3)) (pow.f32 (exp.f32 (/.f32 -2 v)) 3))))) (.f32 2 (/.f32 1 v)))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (/.f32 (exp.f32 (/.f32 -2 v)) (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) u)) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (/.f32 (exp.f32 (/.f32 -2 v)) (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) u)) (+.f32 (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))) (.f32 -1/2 (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 2) (.f32 (pow.f32 (+.f32 1 (*.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (pow.f32 u 2)))))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (/.f32 (exp.f32 (/.f32 -2 v)) (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) u)) (+.f32 (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3) (pow.f32 u 3)))) (.f32 -1/2 (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 2) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (pow.f32 u 2))))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 (/.f32 -2 v)) (.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) u))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 (/.f32 -2 v)) (.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) u))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)) (.f32 -1/2 (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 2) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2) (pow.f32 u 2)))))))
(+.f32 (.f32 -1 (/.f32 (exp.f32 (/.f32 -2 v)) (.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) u))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)) (+.f32 (.f32 -1/3 (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) (.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 3) (pow.f32 u 3)))) (.f32 -1/2 (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 2) (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2) (pow.f32 u 2))))))))
(log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))
(log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))
(log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))
(log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))
(*.f32 -2 (/.f32 (-.f32 1 u) v))
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(*.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (/.f32 1 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (/.f32 1 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 1 (/.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))))
(/.f32 1 (/.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (+.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))))
(/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) 1) (-.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))
(/.f32 (neg.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) (neg.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (neg.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) 1)) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))
(/.f32 (.f32 1 (neg.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))) (neg.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 1 (neg.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))) (neg.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))) (sqrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))) (sqrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (cbrt.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))) (cbrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (cbrt.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))) (cbrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) 1) (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(/.f32 (.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) 1) (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) 1) 1) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))
(/.f32 (.f32 (neg.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) 1) (neg.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (neg.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) 1) (neg.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (sqrt.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (sqrt.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (cbrt.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)) (cbrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (cbrt.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)) (cbrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (-.f32 1 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) (/.f32 1 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))
(/.f32 (.f32 (-.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) 3)) (/.f32 1 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (+.f32 1 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))))
(/.f32 (.f32 (-.f32 1 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (/.f32 1 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (-.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))
(/.f32 (.f32 (+.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) 3)) (/.f32 1 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (+.f32 1 (-.f32 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))))
(pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)
(pow.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)
(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)
(pow.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3) 1/3)
(sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))
(log.f32 (*.f32 (E.f32) (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3))
(expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(exp.f32 (log1p.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(exp.f32 (.f32 (log1p.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1))
(log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
(fma.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) v 1)
(fma.f32 (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)
(fma.f32 (cbrt.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (cbrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)

Outputs
(.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v)
(*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))
(.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v)
(*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))
(.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v)
(*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))
(.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v)
(*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))
(*.f32 -2 (-.f32 1 u))
(*.f32 (-.f32 1 u) -2)
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)))
(fma.f32 -2 (-.f32 1 u) (.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v)))
(fma.f32 (-.f32 1 u) -2 (/.f32 1/2 (/.f32 v (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (*.f32 (-.f32 1 u) 4)))))
(+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)) (.f32 1/6 (/.f32 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 2)))))
(fma.f32 -2 (-.f32 1 u) (fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v) (.f32 1/6 (/.f32 (fma.f32 -8 (-.f32 1 u) (fma.f32 24 (pow.f32 (-.f32 1 u) 2) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (.f32 v v)))))
(fma.f32 (-.f32 1 u) -2 (fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v) (.f32 1/6 (/.f32 (fma.f32 (-.f32 1 u) -8 (fma.f32 (pow.f32 (-.f32 1 u) 2) 24 (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (.f32 v v)))))
(+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)) (+.f32 (.f32 1/24 (/.f32 (+.f32 (.f32 -48 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 -96 (pow.f32 (-.f32 1 u) 4)) (+.f32 (.f32 16 (-.f32 1 u)) (+.f32 (.f32 192 (pow.f32 (-.f32 1 u) 3)) (.f32 -64 (pow.f32 (-.f32 1 u) 2)))))) (pow.f32 v 3))) (.f32 1/6 (/.f32 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 2))))))
(fma.f32 -2 (-.f32 1 u) (fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v) (fma.f32 1/24 (/.f32 (fma.f32 -48 (pow.f32 (-.f32 1 u) 2) (fma.f32 -96 (pow.f32 (-.f32 1 u) 4) (fma.f32 16 (-.f32 1 u) (fma.f32 192 (pow.f32 (-.f32 1 u) 3) (.f32 (pow.f32 (-.f32 1 u) 2) -64))))) (pow.f32 v 3)) (.f32 1/6 (/.f32 (fma.f32 -8 (-.f32 1 u) (fma.f32 24 (pow.f32 (-.f32 1 u) 2) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (*.f32 v v))))))
(fma.f32 (-.f32 1 u) -2 (fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v) (fma.f32 1/6 (/.f32 (fma.f32 (-.f32 1 u) -8 (fma.f32 (pow.f32 (-.f32 1 u) 2) 24 (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (.f32 v v)) (.f32 1/24 (/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -48 (fma.f32 -96 (pow.f32 (-.f32 1 u) 4) (fma.f32 (pow.f32 (-.f32 1 u) 3) 192 (fma.f32 (pow.f32 (-.f32 1 u) 2) -64 (*.f32 (-.f32 1 u) 16))))) (pow.f32 v 3))))))
(*.f32 -2 (-.f32 1 u))
(*.f32 (-.f32 1 u) -2)
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)))
(fma.f32 -2 (-.f32 1 u) (.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v)))
(fma.f32 (-.f32 1 u) -2 (/.f32 1/2 (/.f32 v (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (*.f32 (-.f32 1 u) 4)))))
(+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)) (.f32 -1/6 (/.f32 (+.f32 (.f32 -24 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 8 (-.f32 1 u)) (.f32 16 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 2)))))
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(/.f32 (.f32 (neg.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) 1) (neg.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (-.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 3)) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1)))
(/.f32 (.f32 (sqrt.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (/.f32 (sqrt.f32 (-.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (sqrt.f32 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1)))) (hypot.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 3/2)))
(/.f32 (.f32 (sqrt.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (/.f32 (sqrt.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (sqrt.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (-.f32 1 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))))) (sqrt.f32 (-.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2))))
(/.f32 (.f32 (cbrt.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)) (cbrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (cbrt.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))) (cbrt.f32 (-.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(*.f32 (/.f32 (cbrt.f32 (+.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 3))) (cbrt.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1)))) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2))
(/.f32 (.f32 (cbrt.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)) (cbrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (/.f32 (cbrt.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (cbrt.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (cbrt.f32 (-.f32 1 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))))) (cbrt.f32 (-.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2))))
(/.f32 (.f32 (-.f32 1 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) (/.f32 1 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))
(/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 4)) (/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (/.f32 1 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 4)) (*.f32 (+.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2)) (-.f32 1 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)))))
(/.f32 (.f32 (-.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) 3)) (/.f32 1 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (+.f32 1 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))))
(/.f32 (-.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) 3)) (/.f32 (+.f32 1 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 4))) (/.f32 1 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 6)) (-.f32 1 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)))) (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2) (+.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 4))))
(/.f32 (.f32 (-.f32 1 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (/.f32 1 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (-.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))
(/.f32 (/.f32 (.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 6)) 1) (-.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (-.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 6)) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1))) (-.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 3)))
(/.f32 (.f32 (+.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) 3)) (/.f32 1 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (+.f32 1 (-.f32 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))))
(/.f32 (+.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) 3)) (/.f32 (-.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 6)) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (/.f32 1 (-.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (+.f32 1 (pow.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 3) 3)) (*.f32 (-.f32 (+.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 6)) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 3)) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1))))
(pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(pow.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(pow.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3) 1/3)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))
(fabs.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(log.f32 (*.f32 (E.f32) (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(exp.f32 (log1p.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(exp.f32 (log1p.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))))
(exp.f32 (.f32 (log1p.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1))
(exp.f32 (log1p.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(exp.f32 (log1p.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))))
(log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) v 1)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 (cbrt.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (cbrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)
(fma.f32 (cbrt.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2)) (cbrt.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))) 1)

localize87.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)
✓	0.0b	(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
✓	0.1b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
	0.1b	(exp.f32 (/.f32 -2 v))

Compiler

Compiled 48 to 33 computations (31.3% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	v	@	0	(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
2.0ms	v	@	0	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
0.0ms	v	@	inf	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
0.0ms	v	@	-inf	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
0.0ms	u	@	0	(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`associate-*r/`
800×	`associate-*l/`
772×	`swap-sqr`
596×	`distribute-rgt-in`
564×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	91
1	282	91
2	3366	91

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) 1) (-.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (-.f32 1 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (-.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) 1)) (-.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (+.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (-.f32 1 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (.f32 (.f32 v v) 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u)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))) (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (.f32 1 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))) (.f32 1 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1) (.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) 1) (.f32 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 u (.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1) u)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1 (.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1)) u)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1) 1) u)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 u) (-.f32 1 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) (+.f32 1 u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1) (+.f32 1 u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u u)) (-.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 u 3) (pow.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3)) (+.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u (-.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (-.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u u))) (-.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (+.f32 (pow.f32 u 3) (pow.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3))) (+.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u (-.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u u)) 1) (-.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (pow.f32 u 3) (pow.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3)) 1) (+.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u (-.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) 1) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (*.f32 (*.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (-.f32 1 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 (*.f32 (*.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) 1)) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (+.f32 (*.f32 (*.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (-.f32 1 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))) (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (*.f32 1 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))) (*.f32 1 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1) (*.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) 1) (*.f32 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 u (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 u (*.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1) u)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (*.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1)) u)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1) 1) u)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 u) (-.f32 1 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) (+.f32 1 u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1) (+.f32 1 u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (*.f32 u u)) (-.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 u 3) (pow.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3)) (+.f32 (*.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (*.f32 u (-.f32 u (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 (*.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (*.f32 u u))) (-.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (+.f32 (pow.f32 u 3) (pow.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3))) (+.f32 (*.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (*.f32 u (-.f32 u (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (*.f32 u u)) 1) (-.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (pow.f32 u 3) (pow.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3)) 1) (+.f32 (*.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (*.f32 u (-.f32 u (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))

simplify152.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1172×	`+-commutative`
992×	`associate-*r/`
684×	`associate-*l/`
620×	`fma-def`
564×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	423	9562
1	1139	9208
2	4713	9106

Stop Event

1×	node limit

Counts

166 → 267

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v))
(+.f32 1 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v))
(+.f32 1 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v))
(+.f32 1 (*.f32 -2 (-.f32 1 u)))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v))))
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(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)
(pow.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3) 1/3)
(sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))
(log.f32 (exp.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3))
(expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(exp.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(exp.f32 (*.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1))
(log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(+.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 0)
(+.f32 0 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(+.f32 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))) (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(+.f32 (.f32 1 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (.f32 1 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(+.f32 (.f32 1 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))) (.f32 1 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(+.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1) (.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))
(+.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) 1) (.f32 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) 1)
(*.f32 1 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(*.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(*.f32 (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(*.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (cbrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(pow.f32 (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)
(pow.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)
(pow.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))
(cbrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3))
(expm1.f32 (log1p.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(exp.f32 (log.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(exp.f32 (*.f32 (log.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))
(log1p.f32 (-.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 1))
(+.f32 u (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))
(+.f32 u (.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1))
(+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)
(+.f32 (.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1) u)
(+.f32 (.f32 1 (.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1)) u)
(+.f32 (.f32 (.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1) 1) u)
(-.f32 (+.f32 1 u) (-.f32 1 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
(-.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) (+.f32 1 u)) 1)
(-.f32 (+.f32 (.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1) (+.f32 1 u)) 1)
(*.f32 1 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
(*.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 1)
(*.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(*.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(/.f32 (-.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u u)) (-.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))
(/.f32 (+.f32 (pow.f32 u 3) (pow.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3)) (+.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u (-.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
(/.f32 (.f32 1 (-.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u u))) (-.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))
(/.f32 (.f32 1 (+.f32 (pow.f32 u 3) (pow.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3))) (+.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u (-.f32 u (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
(/.f32 (.f32 (-.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u u)) 1) (-.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))
(/.f32 (.f32 (+.f32 (pow.f32 u 3) (pow.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3)) 1) (+.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u (-.f32 u (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
(pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 1)
(pow.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)
(pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3)
(pow.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 3) 1/3)
(pow.f32 (E.f32) (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(sqrt.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 2))
(log.f32 (exp.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(cbrt.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 3))
(expm1.f32 (log1p.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(exp.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(log1p.f32 (expm1.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))

Outputs
1
(+.f32 1 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(+.f32 1 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(+.f32 1 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(+.f32 1 (*.f32 -2 (-.f32 1 u)))
(+.f32 1 (*.f32 (-.f32 1 u) -2))
(fma.f32 (-.f32 1 u) -2 1)
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v))))
(+.f32 1 (fma.f32 -2 (-.f32 1 u) (.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v))))
(+.f32 1 (fma.f32 (-.f32 1 u) -2 (.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v))))
(+.f32 (fma.f32 (-.f32 1 u) -2 1) (.f32 (/.f32 1/2 v) (.f32 (-.f32 1 u) (+.f32 (*.f32 (-.f32 1 u) -4) 4))))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)) (.f32 1/6 (/.f32 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 2))))))
(+.f32 1 (fma.f32 -2 (-.f32 1 u) (fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v) (.f32 1/6 (/.f32 (fma.f32 -8 (-.f32 1 u) (fma.f32 24 (pow.f32 (-.f32 1 u) 2) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (.f32 v v))))))
(+.f32 1 (fma.f32 (-.f32 1 u) -2 (fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v) (.f32 1/6 (/.f32 (fma.f32 (-.f32 1 u) -8 (fma.f32 (pow.f32 (-.f32 1 u) 2) 24 (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (.f32 v v))))))
(+.f32 (fma.f32 (-.f32 1 u) -2 1) (fma.f32 1/6 (/.f32 (fma.f32 (-.f32 1 u) -8 (.f32 (pow.f32 (-.f32 1 u) 2) (+.f32 24 (.f32 (-.f32 1 u) -16)))) (.f32 v v)) (.f32 (/.f32 1/2 v) (.f32 (-.f32 1 u) (+.f32 (.f32 (-.f32 1 u) -4) 4)))))
(+.f32 (.f32 1/24 (/.f32 (+.f32 (.f32 -48 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 -96 (pow.f32 (-.f32 1 u) 4)) (+.f32 (.f32 192 (pow.f32 (-.f32 1 u) 3)) (+.f32 (.f32 16 (-.f32 1 u)) (.f32 -64 (pow.f32 (-.f32 1 u) 2)))))) (pow.f32 v 3))) (+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)) (.f32 1/6 (/.f32 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 2)))))))
(fma.f32 1/24 (/.f32 (fma.f32 -48 (pow.f32 (-.f32 1 u) 2) (fma.f32 -96 (pow.f32 (-.f32 1 u) 4) (fma.f32 192 (pow.f32 (-.f32 1 u) 3) (fma.f32 16 (-.f32 1 u) (.f32 (pow.f32 (-.f32 1 u) 2) -64))))) (pow.f32 v 3)) (+.f32 1 (fma.f32 -2 (-.f32 1 u) (fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v) (.f32 1/6 (/.f32 (fma.f32 -8 (-.f32 1 u) (fma.f32 24 (pow.f32 (-.f32 1 u) 2) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (*.f32 v v)))))))
(+.f32 (fma.f32 (-.f32 1 u) -2 (fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v) (.f32 1/6 (/.f32 (fma.f32 (-.f32 1 u) -8 (fma.f32 (pow.f32 (-.f32 1 u) 2) 24 (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (.f32 v v))))) (fma.f32 1/24 (/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -48 (fma.f32 -96 (pow.f32 (-.f32 1 u) 4) (fma.f32 (pow.f32 (-.f32 1 u) 3) 192 (fma.f32 (pow.f32 (-.f32 1 u) 2) -64 (*.f32 (-.f32 1 u) 16))))) (pow.f32 v 3)) 1))
(fma.f32 1/24 (/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -48 (fma.f32 -96 (pow.f32 (-.f32 1 u) 4) (fma.f32 (pow.f32 (-.f32 1 u) 3) 192 (.f32 (-.f32 1 u) (+.f32 16 (.f32 (-.f32 1 u) -64)))))) (pow.f32 v 3)) (+.f32 (fma.f32 (-.f32 1 u) -2 1) (fma.f32 1/6 (/.f32 (fma.f32 (-.f32 1 u) -8 (.f32 (pow.f32 (-.f32 1 u) 2) (+.f32 24 (.f32 (-.f32 1 u) -16)))) (.f32 v v)) (.f32 (/.f32 1/2 v) (.f32 (-.f32 1 u) (+.f32 (.f32 (-.f32 1 u) -4) 4))))))
(+.f32 1 (*.f32 -2 (-.f32 1 u)))
(+.f32 1 (*.f32 (-.f32 1 u) -2))
(fma.f32 (-.f32 1 u) -2 1)
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v))))
(+.f32 1 (fma.f32 -2 (-.f32 1 u) (.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v))))
(+.f32 1 (fma.f32 (-.f32 1 u) -2 (.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v))))
(+.f32 (fma.f32 (-.f32 1 u) -2 1) (.f32 (/.f32 1/2 v) (.f32 (-.f32 1 u) (+.f32 (*.f32 (-.f32 1 u) -4) 4))))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)) (.f32 -1/6 (/.f32 (+.f32 (.f32 -24 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 8 (-.f32 1 u)) (.f32 16 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 2))))))
(+.f32 1 (fma.f32 -2 (-.f32 1 u) (fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v) (.f32 -1/6 (/.f32 (fma.f32 -24 (pow.f32 (-.f32 1 u) 2) (fma.f32 8 (-.f32 1 u) (.f32 (pow.f32 (-.f32 1 u) 3) 16))) (.f32 v v))))))
(+.f32 1 (fma.f32 (-.f32 1 u) -2 (fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v) (.f32 -1/6 (/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -24 (fma.f32 (-.f32 1 u) 8 (.f32 (pow.f32 (-.f32 1 u) 3) 16))) (.f32 v v))))))
(+.f32 (fma.f32 (-.f32 1 u) -2 1) (fma.f32 1/2 (/.f32 (.f32 (-.f32 1 u) (+.f32 (.f32 (-.f32 1 u) -4) 4)) v) (.f32 (/.f32 -1/6 v) (/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -24 (fma.f32 (-.f32 1 u) 8 (.f32 (pow.f32 (-.f32 1 u) 3) 16))) v))))
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1
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1
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(sqrt.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 2))
(fabs.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
(log.f32 (exp.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)
(cbrt.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 3))
(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)
(expm1.f32 (log1p.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)
(exp.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)
(log1p.f32 (expm1.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)

eval667.0ms (4.8%)

Compiler: Compiled 21986 to 17056 computations (22.4% saved)

prune159.0ms (1.1%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	607	22	629
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	608	23	631

Error

0.0b

Counts

631 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(fma.f32 (cbrt.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2)) (cbrt.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))) 1)
	29.6b	(fma.f32 v (*.f32 -2 (/.f32 (-.f32 1 u) v)) 1)
▶	0.1b	(fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)
▶	1.5b	(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)
	0.2b	(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)
	0.2b	(/.f32 1 (/.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))))
	30.7b	(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 1)
	27.7b	(+.f32 (fma.f32 (-.f32 1 u) -2 1) (.f32 (/.f32 1/2 v) (.f32 (-.f32 1 u) (+.f32 (*.f32 (-.f32 1 u) -4) 4))))
	30.7b	(+.f32 (fma.f32 v (.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 -2 v))) -1)) (.f32 -1/2 (/.f32 (pow.f32 (+.f32 1 (neg.f32 (exp.f32 (/.f32 -2 v)))) 2) (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 2) (.f32 v (.f32 u u)))))) -1)
▶	30.7b	(+.f32 1 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 2))
	27.7b	(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v))))
▶	29.6b	(+.f32 1 (*.f32 (-.f32 1 u) -2))
	30.7b	(+.f32 1 (.f32 v (-.f32 (.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 -2 v))) -1)) (/.f32 2 v))))
	0.2b	(+.f32 1 (.f32 v (-.f32 (log.f32 (+.f32 (pow.f32 u 3) (pow.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3))) (log.f32 (fma.f32 u u (.f32 (-.f32 1 u) (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))))))
	0.1b	(+.f32 1 (.f32 v (.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
	29.6b	(+.f32 1 (.f32 v (.f32 -2 (/.f32 (-.f32 1 u) v))))
	0.1b	(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)))))))
✓	0.1b	(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
	0.1b	(+.f32 1 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)))
	0.2b	(.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (/.f32 1 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
▶	1.6b	(exp.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
	3.7b	1
	30.3b	-1

Compiler

Compiled 905 to 711 computations (21.4% saved)

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))
✓	0.0b	(log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))
✓	0.1b	(fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)
	0.1b	(exp.f32 (/.f32 -2 v))

Compiler

Compiled 59 to 42 computations (28.8% saved)

series3.0ms (0%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)
0.0ms	u	@	inf	(fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)
0.0ms	u	@	-inf	(fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)
0.0ms	v	@	-inf	(fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)
0.0ms	v	@	0	(fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`associate-*r/`
1224×	`associate-*l/`
824×	`distribute-lft-in`
456×	`associate-/r*`
318×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	89
1	311	89
2	3897	89

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

Inputs
(fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)
(log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))
(*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (+.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1) 1) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) 1) (+.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 v 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simplify176.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1412×	`associate-*r/`
940×	`associate-*l/`
632×	`fma-def`
606×	`associate-/l*`
520×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	527	10983
1	1421	10403
2	5824	10399

Stop Event

1×	node limit

Counts

187 → 287

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v))
(+.f32 1 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v))
(+.f32 1 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v))
(+.f32 1 (*.f32 -2 (-.f32 1 u)))
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(log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3))
(expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(exp.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(exp.f32 (*.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1))
(log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(+.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 0)
(+.f32 0 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(+.f32 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))) (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(+.f32 (.f32 1 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (.f32 1 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(+.f32 (.f32 1 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))) (.f32 1 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3) (pow.f32 u 3))) (log.f32 (+.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u (-.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))))))
(-.f32 (log.f32 (-.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u u))) (log.f32 (-.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)
(-.f32 (+.f32 0 (log.f32 (+.f32 (pow.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3) (pow.f32 u 3)))) (log.f32 (+.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u (-.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))))))
(-.f32 (+.f32 0 (log.f32 (-.f32 (.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)) (.f32 u u)))) (log.f32 (-.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) 1)
(*.f32 1 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(*.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(*.f32 (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(*.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(pow.f32 (sqrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)
(pow.f32 (cbrt.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)
(pow.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))
(cbrt.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3))
(expm1.f32 (log1p.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(exp.f32 (log.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(exp.f32 (*.f32 (log.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))
(log1p.f32 (-.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 1))
(+.f32 (exp.f32 (/.f32 -2 v)) (*.f32 (exp.f32 (/.f32 -2 v)) (neg.f32 u)))
(+.f32 (exp.f32 (/.f32 -2 v)) (*.f32 (neg.f32 u) (exp.f32 (/.f32 -2 v))))
(+.f32 (exp.f32 (/.f32 -2 v)) (.f32 1 (.f32 (exp.f32 (/.f32 -2 v)) (neg.f32 u))))
(+.f32 (exp.f32 (/.f32 -2 v)) (.f32 1 (.f32 (neg.f32 u) (exp.f32 (/.f32 -2 v)))))
(+.f32 (exp.f32 (/.f32 -2 v)) (.f32 (exp.f32 (/.f32 -2 v)) (.f32 (neg.f32 u) 1)))
(+.f32 (*.f32 (exp.f32 (/.f32 -2 v)) (neg.f32 u)) (exp.f32 (/.f32 -2 v)))
(+.f32 (*.f32 (neg.f32 u) (exp.f32 (/.f32 -2 v))) (exp.f32 (/.f32 -2 v)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 -2 v)))) (-.f32 1 (*.f32 (exp.f32 (/.f32 -2 v)) (neg.f32 u))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 -2 v)))) (-.f32 1 (*.f32 (neg.f32 u) (exp.f32 (/.f32 -2 v)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))) 1)
(/.f32 (exp.f32 (/.f32 -2 v)) (/.f32 1 (-.f32 1 u)))
(/.f32 (-.f32 1 (*.f32 u u)) (/.f32 (+.f32 1 u) (exp.f32 (/.f32 -2 v))))
(/.f32 (-.f32 1 (pow.f32 u 3)) (/.f32 (+.f32 1 (fma.f32 u u u)) (exp.f32 (/.f32 -2 v))))
(/.f32 (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (.f32 u u))) (+.f32 1 u))
(/.f32 (*.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (pow.f32 u 3))) (+.f32 1 (fma.f32 u u u)))
(/.f32 (.f32 (-.f32 1 (.f32 u u)) (exp.f32 (/.f32 -2 v))) (+.f32 1 u))
(/.f32 (*.f32 (-.f32 1 (pow.f32 u 3)) (exp.f32 (/.f32 -2 v))) (+.f32 1 (fma.f32 u u u)))
(/.f32 (.f32 1 (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (*.f32 u u)))) (+.f32 1 u))
(/.f32 (.f32 1 (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (pow.f32 u 3)))) (+.f32 1 (fma.f32 u u u)))
(/.f32 (.f32 1 (.f32 (-.f32 1 (*.f32 u u)) (exp.f32 (/.f32 -2 v)))) (+.f32 1 u))
(/.f32 (.f32 1 (.f32 (-.f32 1 (pow.f32 u 3)) (exp.f32 (/.f32 -2 v)))) (+.f32 1 (fma.f32 u u u)))
(/.f32 (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (.f32 (neg.f32 u) (neg.f32 u)))) (+.f32 1 u))
(/.f32 (.f32 (exp.f32 (/.f32 -2 v)) (+.f32 1 (pow.f32 (neg.f32 u) 3))) (+.f32 1 (-.f32 (.f32 (neg.f32 u) (neg.f32 u)) (neg.f32 u))))
(/.f32 (.f32 (exp.f32 (/.f32 -2 v)) (neg.f32 (-.f32 1 (.f32 u u)))) (neg.f32 (+.f32 1 u)))
(/.f32 (*.f32 (exp.f32 (/.f32 -2 v)) (neg.f32 (-.f32 1 (pow.f32 u 3)))) (neg.f32 (+.f32 1 (fma.f32 u u u))))
(/.f32 (.f32 (.f32 (exp.f32 (/.f32 -2 v)) (sqrt.f32 (-.f32 1 u))) (sqrt.f32 (-.f32 1 (*.f32 u u)))) (sqrt.f32 (+.f32 1 u)))
(/.f32 (.f32 (.f32 (exp.f32 (/.f32 -2 v)) (sqrt.f32 (-.f32 1 u))) (sqrt.f32 (-.f32 1 (pow.f32 u 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u u u))))
(/.f32 (.f32 (.f32 (exp.f32 (/.f32 -2 v)) (pow.f32 (cbrt.f32 (-.f32 1 u)) 2)) (cbrt.f32 (-.f32 1 (*.f32 u u)))) (cbrt.f32 (+.f32 1 u)))
(/.f32 (.f32 (.f32 (exp.f32 (/.f32 -2 v)) (pow.f32 (cbrt.f32 (-.f32 1 u)) 2)) (cbrt.f32 (-.f32 1 (pow.f32 u 3)))) (cbrt.f32 (+.f32 1 (fma.f32 u u u))))
(/.f32 (.f32 (-.f32 1 (.f32 (neg.f32 u) (neg.f32 u))) (exp.f32 (/.f32 -2 v))) (+.f32 1 u))
(/.f32 (.f32 (+.f32 1 (pow.f32 (neg.f32 u) 3)) (exp.f32 (/.f32 -2 v))) (+.f32 1 (-.f32 (.f32 (neg.f32 u) (neg.f32 u)) (neg.f32 u))))
(/.f32 (.f32 (neg.f32 (-.f32 1 (.f32 u u))) (exp.f32 (/.f32 -2 v))) (neg.f32 (+.f32 1 u)))
(/.f32 (*.f32 (neg.f32 (-.f32 1 (pow.f32 u 3))) (exp.f32 (/.f32 -2 v))) (neg.f32 (+.f32 1 (fma.f32 u u u))))
(/.f32 (.f32 (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (*.f32 u u))) 1) (+.f32 1 u))
(/.f32 (.f32 (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (pow.f32 u 3))) 1) (+.f32 1 (fma.f32 u u u)))
(/.f32 (.f32 (.f32 (-.f32 1 (*.f32 u u)) (exp.f32 (/.f32 -2 v))) 1) (+.f32 1 u))
(/.f32 (.f32 (.f32 (-.f32 1 (pow.f32 u 3)) (exp.f32 (/.f32 -2 v))) 1) (+.f32 1 (fma.f32 u u u)))
(/.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 u u))) (*.f32 (sqrt.f32 (-.f32 1 u)) (exp.f32 (/.f32 -2 v)))) (sqrt.f32 (+.f32 1 u)))
(/.f32 (.f32 (sqrt.f32 (-.f32 1 (pow.f32 u 3))) (.f32 (sqrt.f32 (-.f32 1 u)) (exp.f32 (/.f32 -2 v)))) (sqrt.f32 (+.f32 1 (fma.f32 u u u))))
(/.f32 (/.f32 (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (.f32 u u))) 1) (+.f32 1 u))
(/.f32 (/.f32 (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (.f32 u u))) (sqrt.f32 (+.f32 1 u))) (sqrt.f32 (+.f32 1 u)))
(/.f32 (/.f32 (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (.f32 u u))) (*.f32 (cbrt.f32 (+.f32 1 u)) (cbrt.f32 (+.f32 1 u)))) (cbrt.f32 (+.f32 1 u)))
(/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (pow.f32 u 3))) 1) (+.f32 1 (fma.f32 u u u)))
(/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (pow.f32 u 3))) (sqrt.f32 (+.f32 1 (fma.f32 u u u)))) (sqrt.f32 (+.f32 1 (fma.f32 u u u))))
(/.f32 (/.f32 (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (pow.f32 u 3))) (.f32 (cbrt.f32 (+.f32 1 (fma.f32 u u u))) (cbrt.f32 (+.f32 1 (fma.f32 u u u))))) (cbrt.f32 (+.f32 1 (fma.f32 u u u))))
(/.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) (exp.f32 (/.f32 -2 v))) 1) (+.f32 1 u))
(/.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) (exp.f32 (/.f32 -2 v))) (sqrt.f32 (+.f32 1 u))) (sqrt.f32 (+.f32 1 u)))
(/.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) (exp.f32 (/.f32 -2 v))) (*.f32 (cbrt.f32 (+.f32 1 u)) (cbrt.f32 (+.f32 1 u)))) (cbrt.f32 (+.f32 1 u)))
(/.f32 (/.f32 (*.f32 (-.f32 1 (pow.f32 u 3)) (exp.f32 (/.f32 -2 v))) 1) (+.f32 1 (fma.f32 u u u)))
(/.f32 (/.f32 (*.f32 (-.f32 1 (pow.f32 u 3)) (exp.f32 (/.f32 -2 v))) (sqrt.f32 (+.f32 1 (fma.f32 u u u)))) (sqrt.f32 (+.f32 1 (fma.f32 u u u))))
(/.f32 (/.f32 (.f32 (-.f32 1 (pow.f32 u 3)) (exp.f32 (/.f32 -2 v))) (.f32 (cbrt.f32 (+.f32 1 (fma.f32 u u u))) (cbrt.f32 (+.f32 1 (fma.f32 u u u))))) (cbrt.f32 (+.f32 1 (fma.f32 u u u))))
(pow.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1)
(pow.f32 (sqrt.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))) 3)
(pow.f32 (pow.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3) 1/3)
(sqrt.f32 (*.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (/.f32 -2 v))) (-.f32 1 u)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))))
(cbrt.f32 (pow.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3))
(expm1.f32 (log1p.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))
(exp.f32 (+.f32 (/.f32 -2 v) (log1p.f32 (neg.f32 u))))
(exp.f32 (*.f32 (+.f32 (/.f32 -2 v) (log1p.f32 (neg.f32 u))) 1))
(log1p.f32 (expm1.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))

Outputs
1
(+.f32 1 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(+.f32 1 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(+.f32 1 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(+.f32 1 (*.f32 -2 (-.f32 1 u)))
(+.f32 1 (*.f32 (-.f32 1 u) -2))
(fma.f32 (-.f32 1 u) -2 1)
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v))))
(+.f32 1 (fma.f32 -2 (-.f32 1 u) (.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v))))
(+.f32 1 (fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v) (.f32 (-.f32 1 u) -2)))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)) (.f32 1/6 (/.f32 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 2))))))
(+.f32 1 (fma.f32 -2 (-.f32 1 u) (fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v) (.f32 1/6 (/.f32 (fma.f32 -8 (-.f32 1 u) (fma.f32 24 (pow.f32 (-.f32 1 u) 2) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (.f32 v v))))))
(+.f32 (fma.f32 (-.f32 1 u) -2 1) (fma.f32 1/6 (/.f32 (fma.f32 (-.f32 1 u) -8 (fma.f32 (pow.f32 (-.f32 1 u) 2) 24 (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (.f32 v v)) (.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v))))
(+.f32 (.f32 1/24 (/.f32 (+.f32 (.f32 -48 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 -96 (pow.f32 (-.f32 1 u) 4)) (+.f32 (.f32 192 (pow.f32 (-.f32 1 u) 3)) (+.f32 (.f32 16 (-.f32 1 u)) (.f32 -64 (pow.f32 (-.f32 1 u) 2)))))) (pow.f32 v 3))) (+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)) (.f32 1/6 (/.f32 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 2)))))))
(fma.f32 1/24 (/.f32 (fma.f32 -48 (pow.f32 (-.f32 1 u) 2) (fma.f32 -96 (pow.f32 (-.f32 1 u) 4) (fma.f32 192 (pow.f32 (-.f32 1 u) 3) (fma.f32 16 (-.f32 1 u) (.f32 (pow.f32 (-.f32 1 u) 2) -64))))) (pow.f32 v 3)) (+.f32 1 (fma.f32 -2 (-.f32 1 u) (fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v) (.f32 1/6 (/.f32 (fma.f32 -8 (-.f32 1 u) (fma.f32 24 (pow.f32 (-.f32 1 u) 2) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (*.f32 v v)))))))
(fma.f32 1/24 (/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -48 (fma.f32 -96 (pow.f32 (-.f32 1 u) 4) (fma.f32 (pow.f32 (-.f32 1 u) 3) 192 (fma.f32 (pow.f32 (-.f32 1 u) 2) -64 (.f32 (-.f32 1 u) 16))))) (pow.f32 v 3)) (+.f32 (fma.f32 (-.f32 1 u) -2 1) (fma.f32 1/6 (/.f32 (fma.f32 (-.f32 1 u) -8 (fma.f32 (pow.f32 (-.f32 1 u) 2) 24 (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (.f32 v v)) (.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (*.f32 (-.f32 1 u) 4)) v)))))
(+.f32 1 (*.f32 -2 (-.f32 1 u)))
(+.f32 1 (*.f32 (-.f32 1 u) -2))
(fma.f32 (-.f32 1 u) -2 1)
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v))))
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(/.f32 (-.f32 1 (pow.f32 u 3)) (*.f32 (+.f32 1 (fma.f32 u u u)) (exp.f32 (/.f32 2 v))))
(*.f32 (/.f32 (exp.f32 (/.f32 -2 v)) (+.f32 1 (fma.f32 u u u))) (-.f32 1 (pow.f32 u 3)))
(/.f32 (.f32 (.f32 (-.f32 1 (*.f32 u u)) (exp.f32 (/.f32 -2 v))) 1) (+.f32 1 u))
(/.f32 (exp.f32 (/.f32 -2 v)) (/.f32 (+.f32 1 u) (-.f32 1 (*.f32 u u))))
(.f32 (exp.f32 (/.f32 -2 v)) (/.f32 (-.f32 1 (.f32 u u)) (+.f32 1 u)))
(/.f32 (.f32 (.f32 (-.f32 1 (pow.f32 u 3)) (exp.f32 (/.f32 -2 v))) 1) (+.f32 1 (fma.f32 u u u)))
(*.f32 (/.f32 (-.f32 1 (pow.f32 u 3)) (+.f32 1 (fma.f32 u u u))) (exp.f32 (/.f32 -2 v)))
(/.f32 (-.f32 1 (pow.f32 u 3)) (*.f32 (+.f32 1 (fma.f32 u u u)) (exp.f32 (/.f32 2 v))))
(*.f32 (/.f32 (exp.f32 (/.f32 -2 v)) (+.f32 1 (fma.f32 u u u))) (-.f32 1 (pow.f32 u 3)))
(/.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 u u))) (*.f32 (sqrt.f32 (-.f32 1 u)) (exp.f32 (/.f32 -2 v)))) (sqrt.f32 (+.f32 1 u)))
(/.f32 (.f32 (exp.f32 (/.f32 -2 v)) (sqrt.f32 (-.f32 1 u))) (/.f32 (sqrt.f32 (+.f32 1 u)) (sqrt.f32 (-.f32 1 (.f32 u u)))))
(.f32 (/.f32 (sqrt.f32 (-.f32 1 (.f32 u u))) (sqrt.f32 (+.f32 1 u))) (*.f32 (exp.f32 (/.f32 -2 v)) (sqrt.f32 (-.f32 1 u))))
(/.f32 (.f32 (sqrt.f32 (-.f32 1 (pow.f32 u 3))) (.f32 (sqrt.f32 (-.f32 1 u)) (exp.f32 (/.f32 -2 v)))) (sqrt.f32 (+.f32 1 (fma.f32 u u u))))
(/.f32 (*.f32 (exp.f32 (/.f32 -2 v)) (sqrt.f32 (-.f32 1 u))) (/.f32 (sqrt.f32 (+.f32 1 (fma.f32 u u u))) (sqrt.f32 (-.f32 1 (pow.f32 u 3)))))
(.f32 (/.f32 (hypot.f32 1 (pow.f32 (neg.f32 u) 3/2)) (sqrt.f32 (+.f32 1 (fma.f32 u u u)))) (.f32 (exp.f32 (/.f32 -2 v)) (sqrt.f32 (-.f32 1 u))))
(/.f32 (/.f32 (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (.f32 u u))) 1) (+.f32 1 u))
(/.f32 (exp.f32 (/.f32 -2 v)) (/.f32 (+.f32 1 u) (-.f32 1 (*.f32 u u))))
(.f32 (exp.f32 (/.f32 -2 v)) (/.f32 (-.f32 1 (.f32 u u)) (+.f32 1 u)))
(/.f32 (/.f32 (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (.f32 u u))) (sqrt.f32 (+.f32 1 u))) (sqrt.f32 (+.f32 1 u)))
(/.f32 (exp.f32 (/.f32 -2 v)) (/.f32 (+.f32 1 u) (-.f32 1 (*.f32 u u))))
(.f32 (exp.f32 (/.f32 -2 v)) (/.f32 (-.f32 1 (.f32 u u)) (+.f32 1 u)))
(/.f32 (/.f32 (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (.f32 u u))) (*.f32 (cbrt.f32 (+.f32 1 u)) (cbrt.f32 (+.f32 1 u)))) (cbrt.f32 (+.f32 1 u)))
(/.f32 (exp.f32 (/.f32 -2 v)) (/.f32 (+.f32 1 u) (-.f32 1 (*.f32 u u))))
(.f32 (exp.f32 (/.f32 -2 v)) (/.f32 (-.f32 1 (.f32 u u)) (+.f32 1 u)))
(/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (pow.f32 u 3))) 1) (+.f32 1 (fma.f32 u u u)))
(*.f32 (/.f32 (-.f32 1 (pow.f32 u 3)) (+.f32 1 (fma.f32 u u u))) (exp.f32 (/.f32 -2 v)))
(/.f32 (-.f32 1 (pow.f32 u 3)) (*.f32 (+.f32 1 (fma.f32 u u u)) (exp.f32 (/.f32 2 v))))
(*.f32 (/.f32 (exp.f32 (/.f32 -2 v)) (+.f32 1 (fma.f32 u u u))) (-.f32 1 (pow.f32 u 3)))
(/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (pow.f32 u 3))) (sqrt.f32 (+.f32 1 (fma.f32 u u u)))) (sqrt.f32 (+.f32 1 (fma.f32 u u u))))
(*.f32 (/.f32 (-.f32 1 (pow.f32 u 3)) (+.f32 1 (fma.f32 u u u))) (exp.f32 (/.f32 -2 v)))
(/.f32 (-.f32 1 (pow.f32 u 3)) (*.f32 (+.f32 1 (fma.f32 u u u)) (exp.f32 (/.f32 2 v))))
(*.f32 (/.f32 (exp.f32 (/.f32 -2 v)) (+.f32 1 (fma.f32 u u u))) (-.f32 1 (pow.f32 u 3)))
(/.f32 (/.f32 (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 (pow.f32 u 3))) (.f32 (cbrt.f32 (+.f32 1 (fma.f32 u u u))) (cbrt.f32 (+.f32 1 (fma.f32 u u u))))) (cbrt.f32 (+.f32 1 (fma.f32 u u u))))
(*.f32 (/.f32 (-.f32 1 (pow.f32 u 3)) (+.f32 1 (fma.f32 u u u))) (exp.f32 (/.f32 -2 v)))
(/.f32 (-.f32 1 (pow.f32 u 3)) (*.f32 (+.f32 1 (fma.f32 u u u)) (exp.f32 (/.f32 2 v))))
(*.f32 (/.f32 (exp.f32 (/.f32 -2 v)) (+.f32 1 (fma.f32 u u u))) (-.f32 1 (pow.f32 u 3)))
(/.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) (exp.f32 (/.f32 -2 v))) 1) (+.f32 1 u))
(/.f32 (exp.f32 (/.f32 -2 v)) (/.f32 (+.f32 1 u) (-.f32 1 (*.f32 u u))))
(.f32 (exp.f32 (/.f32 -2 v)) (/.f32 (-.f32 1 (.f32 u u)) (+.f32 1 u)))
(/.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) (exp.f32 (/.f32 -2 v))) (sqrt.f32 (+.f32 1 u))) (sqrt.f32 (+.f32 1 u)))
(/.f32 (exp.f32 (/.f32 -2 v)) (/.f32 (+.f32 1 u) (-.f32 1 (*.f32 u u))))
(.f32 (exp.f32 (/.f32 -2 v)) (/.f32 (-.f32 1 (.f32 u u)) (+.f32 1 u)))
(/.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) (exp.f32 (/.f32 -2 v))) (*.f32 (cbrt.f32 (+.f32 1 u)) (cbrt.f32 (+.f32 1 u)))) (cbrt.f32 (+.f32 1 u)))
(/.f32 (exp.f32 (/.f32 -2 v)) (/.f32 (+.f32 1 u) (-.f32 1 (*.f32 u u))))
(.f32 (exp.f32 (/.f32 -2 v)) (/.f32 (-.f32 1 (.f32 u u)) (+.f32 1 u)))
(/.f32 (/.f32 (*.f32 (-.f32 1 (pow.f32 u 3)) (exp.f32 (/.f32 -2 v))) 1) (+.f32 1 (fma.f32 u u u)))
(*.f32 (/.f32 (-.f32 1 (pow.f32 u 3)) (+.f32 1 (fma.f32 u u u))) (exp.f32 (/.f32 -2 v)))
(/.f32 (-.f32 1 (pow.f32 u 3)) (*.f32 (+.f32 1 (fma.f32 u u u)) (exp.f32 (/.f32 2 v))))
(*.f32 (/.f32 (exp.f32 (/.f32 -2 v)) (+.f32 1 (fma.f32 u u u))) (-.f32 1 (pow.f32 u 3)))
(/.f32 (/.f32 (*.f32 (-.f32 1 (pow.f32 u 3)) (exp.f32 (/.f32 -2 v))) (sqrt.f32 (+.f32 1 (fma.f32 u u u)))) (sqrt.f32 (+.f32 1 (fma.f32 u u u))))
(*.f32 (/.f32 (-.f32 1 (pow.f32 u 3)) (+.f32 1 (fma.f32 u u u))) (exp.f32 (/.f32 -2 v)))
(/.f32 (-.f32 1 (pow.f32 u 3)) (*.f32 (+.f32 1 (fma.f32 u u u)) (exp.f32 (/.f32 2 v))))
(*.f32 (/.f32 (exp.f32 (/.f32 -2 v)) (+.f32 1 (fma.f32 u u u))) (-.f32 1 (pow.f32 u 3)))
(/.f32 (/.f32 (.f32 (-.f32 1 (pow.f32 u 3)) (exp.f32 (/.f32 -2 v))) (.f32 (cbrt.f32 (+.f32 1 (fma.f32 u u u))) (cbrt.f32 (+.f32 1 (fma.f32 u u u))))) (cbrt.f32 (+.f32 1 (fma.f32 u u u))))
(*.f32 (/.f32 (-.f32 1 (pow.f32 u 3)) (+.f32 1 (fma.f32 u u u))) (exp.f32 (/.f32 -2 v)))
(/.f32 (-.f32 1 (pow.f32 u 3)) (*.f32 (+.f32 1 (fma.f32 u u u)) (exp.f32 (/.f32 2 v))))
(*.f32 (/.f32 (exp.f32 (/.f32 -2 v)) (+.f32 1 (fma.f32 u u u))) (-.f32 1 (pow.f32 u 3)))
(pow.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 1)
(*.f32 (+.f32 (neg.f32 u) 1) (exp.f32 (/.f32 -2 v)))
(*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))
(pow.f32 (sqrt.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))) 2)
(*.f32 (+.f32 (neg.f32 u) 1) (exp.f32 (/.f32 -2 v)))
(*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))
(pow.f32 (cbrt.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))) 3)
(*.f32 (+.f32 (neg.f32 u) 1) (exp.f32 (/.f32 -2 v)))
(*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))
(pow.f32 (pow.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3) 1/3)
(*.f32 (+.f32 (neg.f32 u) 1) (exp.f32 (/.f32 -2 v)))
(*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))
(sqrt.f32 (*.f32 (exp.f32 (/.f32 -4 v)) (pow.f32 (-.f32 1 u) 2)))
(sqrt.f32 (*.f32 (pow.f32 (-.f32 1 u) 2) (exp.f32 (/.f32 -4 v))))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (/.f32 -2 v))) (-.f32 1 u)))
(*.f32 (+.f32 (neg.f32 u) 1) (exp.f32 (/.f32 -2 v)))
(*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))))
(*.f32 (+.f32 (neg.f32 u) 1) (exp.f32 (/.f32 -2 v)))
(*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))
(cbrt.f32 (pow.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3))
(*.f32 (+.f32 (neg.f32 u) 1) (exp.f32 (/.f32 -2 v)))
(*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))
(expm1.f32 (log1p.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))
(*.f32 (+.f32 (neg.f32 u) 1) (exp.f32 (/.f32 -2 v)))
(*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))
(exp.f32 (+.f32 (/.f32 -2 v) (log1p.f32 (neg.f32 u))))
(exp.f32 (+.f32 (log1p.f32 (neg.f32 u)) (/.f32 -2 v)))
(exp.f32 (*.f32 (+.f32 (/.f32 -2 v) (log1p.f32 (neg.f32 u))) 1))
(exp.f32 (+.f32 (/.f32 -2 v) (log1p.f32 (neg.f32 u))))
(exp.f32 (+.f32 (log1p.f32 (neg.f32 u)) (/.f32 -2 v)))
(log1p.f32 (expm1.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))
(*.f32 (+.f32 (neg.f32 u) 1) (exp.f32 (/.f32 -2 v)))
(*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))

localize24.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(+.f32 1 (*.f32 (-.f32 1 u) -2))

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	u	@	0	(+.f32 1 (*.f32 (-.f32 1 u) -2))
0.0ms	u	@	inf	(+.f32 1 (*.f32 (-.f32 1 u) -2))
0.0ms	u	@	-inf	(+.f32 1 (*.f32 (-.f32 1 u) -2))

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`add-sqr-sqrt`
1790×	`*-un-lft-identity`
1678×	`add-cube-cbrt`
1666×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	172	15
2	2194	15

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(+.f32 1 (*.f32 (-.f32 1 u) -2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 (-.f32 1 u) -2 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (+.f32 1 (*.f32 2 (-.f32 1 u)))) (/.f32 (*.f32 (pow.f32 (-.f32 1 u) 2) 4) (+.f32 1 (*.f32 2 (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 (-.f32 1 u) -2 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 (-.f32 1 u) -2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) -2 1)) (sqrt.f32 (fma.f32 (-.f32 1 u) -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) -2 1)) (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) -2 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) -2 1)) 2) (cbrt.f32 (fma.f32 (-.f32 1 u) -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 2) 4)) (/.f32 1 (+.f32 1 (*.f32 2 (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 3) -8)) (/.f32 1 (+.f32 1 (+.f32 (*.f32 (pow.f32 (-.f32 1 u) 2) 4) (*.f32 2 (-.f32 1 u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 1 (*.f32 2 (-.f32 1 u))) (-.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 1 (+.f32 (*.f32 (pow.f32 (-.f32 1 u) 2) 4) (*.f32 2 (-.f32 1 u)))) (+.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 3) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 2) 4)) (+.f32 1 (*.f32 2 (-.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 3) -8)) (+.f32 1 (+.f32 (*.f32 (pow.f32 (-.f32 1 u) 2) 4) (*.f32 2 (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 3) -8)) (+.f32 (*.f32 (pow.f32 (-.f32 1 u) 2) 4) (+.f32 1 (*.f32 2 (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (pow.f32 (-.f32 1 u) 2) 4) 1) (-.f32 (*.f32 (-.f32 1 u) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 2) 4))) (neg.f32 (+.f32 1 (*.f32 2 (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 3) -8))) (neg.f32 (+.f32 1 (+.f32 (*.f32 (pow.f32 (-.f32 1 u) 2) 4) (*.f32 2 (-.f32 1 u))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 (-.f32 1 u) -2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) -2 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) -2 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 (-.f32 1 u) -2 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 (-.f32 1 u) -2 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 (-.f32 1 u) -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 (-.f32 1 u) -2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 (-.f32 1 u) -2 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 (-.f32 1 u) -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log1p.f32 (*.f32 (-.f32 1 u) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log1p.f32 (*.f32 (-.f32 1 u) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 (-.f32 1 u) -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 (-.f32 1 u) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (-.f32 1 u) -2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -2 (-.f32 1 u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 (-.f32 1 u) -2)) (sqrt.f32 (*.f32 (-.f32 1 u) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 (-.f32 1 u) -2)) 2) (cbrt.f32 (*.f32 (-.f32 1 u) -2)) 1)))))

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

990×	`associate-r`
986×	`associate-/l*`
808×	`associate-l`
734×	`associate-+r+`
532×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	996
1	200	902
2	725	856
3	3538	856

Stop Event

1×	node limit

Counts

46 → 46

Calls

Call 1

Inputs
-1
(-.f32 (*.f32 2 u) 1)
(-.f32 (*.f32 2 u) 1)
(-.f32 (*.f32 2 u) 1)
(*.f32 2 u)
(-.f32 (*.f32 2 u) 1)
(-.f32 (*.f32 2 u) 1)
(-.f32 (*.f32 2 u) 1)
(*.f32 2 u)
(-.f32 (*.f32 2 u) 1)
(-.f32 (*.f32 2 u) 1)
(-.f32 (*.f32 2 u) 1)
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (-.f32 1 u) -2 1))) 1)
(-.f32 (/.f32 1 (+.f32 1 (.f32 2 (-.f32 1 u)))) (/.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 4) (+.f32 1 (*.f32 2 (-.f32 1 u)))))
(*.f32 1 (fma.f32 (-.f32 1 u) -2 1))
(*.f32 (fma.f32 (-.f32 1 u) -2 1) 1)
(*.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) -2 1)) (sqrt.f32 (fma.f32 (-.f32 1 u) -2 1)))
(*.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) -2 1)) (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) -2 1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) -2 1)) 2) (cbrt.f32 (fma.f32 (-.f32 1 u) -2 1)))
(.f32 (-.f32 1 (.f32 (pow.f32 (-.f32 1 u) 2) 4)) (/.f32 1 (+.f32 1 (*.f32 2 (-.f32 1 u)))))
(.f32 (+.f32 1 (.f32 (pow.f32 (-.f32 1 u) 3) -8)) (/.f32 1 (+.f32 1 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 4) (.f32 2 (-.f32 1 u))))))
(/.f32 1 (/.f32 (+.f32 1 (.f32 2 (-.f32 1 u))) (-.f32 1 (.f32 (pow.f32 (-.f32 1 u) 2) 4))))
(/.f32 1 (/.f32 (+.f32 1 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 4) (.f32 2 (-.f32 1 u)))) (+.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 3) -8))))
(/.f32 (-.f32 1 (.f32 (pow.f32 (-.f32 1 u) 2) 4)) (+.f32 1 (.f32 2 (-.f32 1 u))))
(/.f32 (+.f32 1 (.f32 (pow.f32 (-.f32 1 u) 3) -8)) (+.f32 1 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 4) (*.f32 2 (-.f32 1 u)))))
(/.f32 (+.f32 1 (.f32 (pow.f32 (-.f32 1 u) 3) -8)) (+.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 4) (+.f32 1 (*.f32 2 (-.f32 1 u)))))
(/.f32 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 4) 1) (-.f32 (.f32 (-.f32 1 u) -2) 1))
(/.f32 (neg.f32 (-.f32 1 (.f32 (pow.f32 (-.f32 1 u) 2) 4))) (neg.f32 (+.f32 1 (.f32 2 (-.f32 1 u)))))
(/.f32 (neg.f32 (+.f32 1 (.f32 (pow.f32 (-.f32 1 u) 3) -8))) (neg.f32 (+.f32 1 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 4) (*.f32 2 (-.f32 1 u))))))
(pow.f32 (fma.f32 (-.f32 1 u) -2 1) 1)
(pow.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) -2 1)) 2)
(pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) -2 1)) 3)
(pow.f32 (pow.f32 (fma.f32 (-.f32 1 u) -2 1) 3) 1/3)
(sqrt.f32 (pow.f32 (fma.f32 (-.f32 1 u) -2 1) 2))
(log.f32 (exp.f32 (fma.f32 (-.f32 1 u) -2 1)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 (-.f32 1 u) -2 1))))
(cbrt.f32 (pow.f32 (fma.f32 (-.f32 1 u) -2 1) 3))
(expm1.f32 (log1p.f32 (fma.f32 (-.f32 1 u) -2 1)))
(exp.f32 (log1p.f32 (*.f32 (-.f32 1 u) -2)))
(exp.f32 (.f32 (log1p.f32 (.f32 (-.f32 1 u) -2)) 1))
(log1p.f32 (expm1.f32 (fma.f32 (-.f32 1 u) -2 1)))
(fma.f32 1 (*.f32 (-.f32 1 u) -2) 1)
(fma.f32 (-.f32 1 u) -2 1)
(fma.f32 -2 (-.f32 1 u) 1)
(fma.f32 (sqrt.f32 (.f32 (-.f32 1 u) -2)) (sqrt.f32 (.f32 (-.f32 1 u) -2)) 1)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (-.f32 1 u) -2)) 2) (cbrt.f32 (.f32 (-.f32 1 u) -2)) 1)

Outputs
-1
(-.f32 (*.f32 2 u) 1)
(fma.f32 2 u -1)
(-.f32 (*.f32 2 u) 1)
(fma.f32 2 u -1)
(-.f32 (*.f32 2 u) 1)
(fma.f32 2 u -1)
(*.f32 2 u)
(-.f32 (*.f32 2 u) 1)
(fma.f32 2 u -1)
(-.f32 (*.f32 2 u) 1)
(fma.f32 2 u -1)
(-.f32 (*.f32 2 u) 1)
(fma.f32 2 u -1)
(*.f32 2 u)
(-.f32 (*.f32 2 u) 1)
(fma.f32 2 u -1)
(-.f32 (*.f32 2 u) 1)
(fma.f32 2 u -1)
(-.f32 (*.f32 2 u) 1)
(fma.f32 2 u -1)
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (-.f32 1 u) -2 1))) 1)
(fma.f32 2 u -1)
(-.f32 (/.f32 1 (+.f32 1 (.f32 2 (-.f32 1 u)))) (/.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 4) (+.f32 1 (*.f32 2 (-.f32 1 u)))))
(/.f32 (-.f32 1 (.f32 (pow.f32 (-.f32 1 u) 2) 4)) (+.f32 1 (.f32 2 (-.f32 1 u))))
(/.f32 (-.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 2) 4)) (fma.f32 2 (-.f32 1 u) 1))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -4 1) (+.f32 3 (*.f32 -2 u)))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -4 1) (+.f32 3 (*.f32 u -2)))
(*.f32 1 (fma.f32 (-.f32 1 u) -2 1))
(fma.f32 2 u -1)
(*.f32 (fma.f32 (-.f32 1 u) -2 1) 1)
(fma.f32 2 u -1)
(*.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) -2 1)) (sqrt.f32 (fma.f32 (-.f32 1 u) -2 1)))
(fma.f32 2 u -1)
(*.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) -2 1)) (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) -2 1)) 2))
(fma.f32 2 u -1)
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) -2 1)) 2) (cbrt.f32 (fma.f32 (-.f32 1 u) -2 1)))
(fma.f32 2 u -1)
(.f32 (-.f32 1 (.f32 (pow.f32 (-.f32 1 u) 2) 4)) (/.f32 1 (+.f32 1 (*.f32 2 (-.f32 1 u)))))
(/.f32 (-.f32 1 (.f32 (pow.f32 (-.f32 1 u) 2) 4)) (+.f32 1 (.f32 2 (-.f32 1 u))))
(/.f32 (-.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 2) 4)) (fma.f32 2 (-.f32 1 u) 1))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -4 1) (+.f32 3 (*.f32 -2 u)))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -4 1) (+.f32 3 (*.f32 u -2)))
(.f32 (+.f32 1 (.f32 (pow.f32 (-.f32 1 u) 3) -8)) (/.f32 1 (+.f32 1 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 4) (.f32 2 (-.f32 1 u))))))
(/.f32 (.f32 (+.f32 1 (.f32 (pow.f32 (-.f32 1 u) 3) -8)) 1) (+.f32 1 (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (*.f32 2 (-.f32 1 u)))))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 3) -8 1) (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (fma.f32 2 (-.f32 1 u) 1)))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 3) -8 1) (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (+.f32 3 (*.f32 -2 u))))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 3) -8 1) (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (+.f32 3 (*.f32 u -2))))
(/.f32 1 (/.f32 (+.f32 1 (.f32 2 (-.f32 1 u))) (-.f32 1 (.f32 (pow.f32 (-.f32 1 u) 2) 4))))
(/.f32 (-.f32 1 (.f32 (pow.f32 (-.f32 1 u) 2) 4)) (+.f32 1 (.f32 2 (-.f32 1 u))))
(/.f32 (-.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 2) 4)) (fma.f32 2 (-.f32 1 u) 1))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -4 1) (+.f32 3 (*.f32 -2 u)))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -4 1) (+.f32 3 (*.f32 u -2)))
(/.f32 1 (/.f32 (+.f32 1 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 4) (.f32 2 (-.f32 1 u)))) (+.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 3) -8))))
(/.f32 (.f32 (+.f32 1 (.f32 (pow.f32 (-.f32 1 u) 3) -8)) 1) (+.f32 1 (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (*.f32 2 (-.f32 1 u)))))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 3) -8 1) (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (fma.f32 2 (-.f32 1 u) 1)))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 3) -8 1) (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (+.f32 3 (*.f32 -2 u))))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 3) -8 1) (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (+.f32 3 (*.f32 u -2))))
(/.f32 (-.f32 1 (.f32 (pow.f32 (-.f32 1 u) 2) 4)) (+.f32 1 (.f32 2 (-.f32 1 u))))
(/.f32 (-.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 2) 4)) (fma.f32 2 (-.f32 1 u) 1))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -4 1) (+.f32 3 (*.f32 -2 u)))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -4 1) (+.f32 3 (*.f32 u -2)))
(/.f32 (+.f32 1 (.f32 (pow.f32 (-.f32 1 u) 3) -8)) (+.f32 1 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 4) (*.f32 2 (-.f32 1 u)))))
(/.f32 (.f32 (+.f32 1 (.f32 (pow.f32 (-.f32 1 u) 3) -8)) 1) (+.f32 1 (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (*.f32 2 (-.f32 1 u)))))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 3) -8 1) (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (fma.f32 2 (-.f32 1 u) 1)))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 3) -8 1) (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (+.f32 3 (*.f32 -2 u))))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 3) -8 1) (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (+.f32 3 (*.f32 u -2))))
(/.f32 (+.f32 1 (.f32 (pow.f32 (-.f32 1 u) 3) -8)) (+.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 4) (+.f32 1 (*.f32 2 (-.f32 1 u)))))
(/.f32 (.f32 (+.f32 1 (.f32 (pow.f32 (-.f32 1 u) 3) -8)) 1) (+.f32 1 (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (*.f32 2 (-.f32 1 u)))))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 3) -8 1) (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (fma.f32 2 (-.f32 1 u) 1)))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 3) -8 1) (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (+.f32 3 (*.f32 -2 u))))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 3) -8 1) (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (+.f32 3 (*.f32 u -2))))
(/.f32 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 4) 1) (-.f32 (.f32 (-.f32 1 u) -2) 1))
(/.f32 (-.f32 1 (.f32 (pow.f32 (-.f32 1 u) 2) 4)) (+.f32 1 (.f32 2 (-.f32 1 u))))
(/.f32 (-.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 2) 4)) (fma.f32 2 (-.f32 1 u) 1))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -4 1) (+.f32 3 (*.f32 -2 u)))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -4 1) (+.f32 3 (*.f32 u -2)))
(/.f32 (neg.f32 (-.f32 1 (.f32 (pow.f32 (-.f32 1 u) 2) 4))) (neg.f32 (+.f32 1 (.f32 2 (-.f32 1 u)))))
(/.f32 (-.f32 1 (.f32 (pow.f32 (-.f32 1 u) 2) 4)) (+.f32 1 (.f32 2 (-.f32 1 u))))
(/.f32 (-.f32 1 (*.f32 (pow.f32 (-.f32 1 u) 2) 4)) (fma.f32 2 (-.f32 1 u) 1))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -4 1) (+.f32 3 (*.f32 -2 u)))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) -4 1) (+.f32 3 (*.f32 u -2)))
(/.f32 (neg.f32 (+.f32 1 (.f32 (pow.f32 (-.f32 1 u) 3) -8))) (neg.f32 (+.f32 1 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 4) (*.f32 2 (-.f32 1 u))))))
(/.f32 (.f32 (+.f32 1 (.f32 (pow.f32 (-.f32 1 u) 3) -8)) 1) (+.f32 1 (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (*.f32 2 (-.f32 1 u)))))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 3) -8 1) (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (fma.f32 2 (-.f32 1 u) 1)))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 3) -8 1) (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (+.f32 3 (*.f32 -2 u))))
(/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 3) -8 1) (fma.f32 (pow.f32 (-.f32 1 u) 2) 4 (+.f32 3 (*.f32 u -2))))
(pow.f32 (fma.f32 (-.f32 1 u) -2 1) 1)
(fma.f32 2 u -1)
(pow.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) -2 1)) 2)
(fma.f32 2 u -1)
(pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) -2 1)) 3)
(fma.f32 2 u -1)
(pow.f32 (pow.f32 (fma.f32 (-.f32 1 u) -2 1) 3) 1/3)
(fma.f32 2 u -1)
(sqrt.f32 (pow.f32 (fma.f32 (-.f32 1 u) -2 1) 2))
(fma.f32 2 u -1)
(log.f32 (exp.f32 (fma.f32 (-.f32 1 u) -2 1)))
(fma.f32 2 u -1)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 (-.f32 1 u) -2 1))))
(fma.f32 2 u -1)
(cbrt.f32 (pow.f32 (fma.f32 (-.f32 1 u) -2 1) 3))
(fma.f32 2 u -1)
(expm1.f32 (log1p.f32 (fma.f32 (-.f32 1 u) -2 1)))
(fma.f32 2 u -1)
(exp.f32 (log1p.f32 (*.f32 (-.f32 1 u) -2)))
(exp.f32 (log1p.f32 (+.f32 -2 (*.f32 2 u))))
(exp.f32 (.f32 (log1p.f32 (.f32 (-.f32 1 u) -2)) 1))
(exp.f32 (log1p.f32 (*.f32 (-.f32 1 u) -2)))
(exp.f32 (log1p.f32 (+.f32 -2 (*.f32 2 u))))
(log1p.f32 (expm1.f32 (fma.f32 (-.f32 1 u) -2 1)))
(fma.f32 2 u -1)
(fma.f32 1 (*.f32 (-.f32 1 u) -2) 1)
(fma.f32 2 u -1)
(fma.f32 (-.f32 1 u) -2 1)
(fma.f32 2 u -1)
(fma.f32 -2 (-.f32 1 u) 1)
(fma.f32 2 u -1)
(fma.f32 (sqrt.f32 (.f32 (-.f32 1 u) -2)) (sqrt.f32 (.f32 (-.f32 1 u) -2)) 1)
(fma.f32 2 u -1)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (-.f32 1 u) -2)) 2) (cbrt.f32 (.f32 (-.f32 1 u) -2)) 1)
(fma.f32 2 u -1)

localize89.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)))
✓	0.0b	(/.f32 1 (exp.f32 (/.f32 -2 v)))
✓	0.1b	(-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)
	0.1b	(exp.f32 (/.f32 -2 v))

Compiler

Compiled 80 to 63 computations (21.3% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u	@	0	(.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)))
1.0ms	v	@	0	(.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)))
0.0ms	u	@	inf	(.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)))
0.0ms	v	@	0	(-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)
0.0ms	v	@	inf	(.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)))

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`associate-*r/`
1192×	`associate-*l/`
572×	`associate-/r*`
520×	`distribute-rgt-in`
512×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	275	45
2	3419	45

Stop Event

1×	node limit

Counts

3 → 179

Calls

Call 1

Inputs
(-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)
(/.f32 1 (exp.f32 (/.f32 -2 v)))
(.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (/.f32 2 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (exp.f32 (/.f32 2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (expm1.f32 (/.f32 2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (expm1.f32 (/.f32 2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (expm1.f32 (/.f32 2 v))) (sqrt.f32 (expm1.f32 (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) 2) (cbrt.f32 (expm1.f32 (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))) (/.f32 1 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (sqrt.f32 (exp.f32 (/.f32 2 v)))) (-.f32 (sqrt.f32 (exp.f32 (/.f32 2 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 2 v)))) (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v)))))) (+.f32 -1 (exp.f32 (/.f32 6 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1) (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1)) (expm1.f32 (/.f32 2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1) (-.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v))))) (-.f32 1 (exp.f32 (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1) (+.f32 1 (exp.f32 (/.f32 6 v)))) (+.f32 1 (-.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) (exp.f32 (/.f32 2 v)))))))) 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(expm1.f32 (/.f32 2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 v (*.f32 (expm1.f32 (/.f32 2 v)) u))))))))

simplify153.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1068×	`unswap-sqr`
796×	`associate-/l*`
748×	`associate-+r+`
682×	`associate-+l+`
564×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	447	9347
1	1141	7855
2	4674	7797

Stop Event

1×	node limit

Counts

203 → 303

Calls

Call 1

Inputs
(/.f32 2 v)
(+.f32 (.f32 2 (/.f32 1 v)) (.f32 2 (/.f32 1 (pow.f32 v 2))))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (*.f32 2 (/.f32 1 (pow.f32 v 2)))))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2/3 (/.f32 1 (pow.f32 v 4))))))
(/.f32 2 v)
(+.f32 (.f32 2 (/.f32 1 v)) (.f32 2 (/.f32 1 (pow.f32 v 2))))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (*.f32 2 (/.f32 1 (pow.f32 v 2)))))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2/3 (/.f32 1 (pow.f32 v 4))))))
1
(+.f32 1 (*.f32 2 (/.f32 1 v)))
(+.f32 1 (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2 (/.f32 1 v))))
(+.f32 1 (+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (*.f32 2 (/.f32 1 v)))))
1
(+.f32 1 (*.f32 2 (/.f32 1 v)))
(+.f32 1 (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2 (/.f32 1 v))))
(+.f32 1 (+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (*.f32 2 (/.f32 1 v)))))
(*.f32 2 u)
(+.f32 (.f32 2 u) (.f32 2 (/.f32 u v)))
(+.f32 (.f32 2 u) (+.f32 (.f32 2 (/.f32 u v)) (*.f32 4/3 (/.f32 u (pow.f32 v 2)))))
(+.f32 (.f32 2 u) (+.f32 (.f32 2 (/.f32 u v)) (+.f32 (.f32 2/3 (/.f32 u (pow.f32 v 3))) (.f32 4/3 (/.f32 u (pow.f32 v 2))))))
(*.f32 2 u)
(+.f32 (.f32 2 u) (.f32 2 (/.f32 u v)))
(+.f32 (.f32 2 u) (+.f32 (.f32 2 (/.f32 u v)) (*.f32 4/3 (/.f32 u (pow.f32 v 2)))))
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(/.f32 (.f32 v (.f32 u (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1))) (+.f32 1 (exp.f32 (/.f32 2 v))))
(/.f32 (.f32 v (.f32 u (+.f32 -1 (exp.f32 (/.f32 6 v))))) (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v))))))
(/.f32 (.f32 v (.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1) u)) (+.f32 1 (exp.f32 (/.f32 2 v))))
(/.f32 (.f32 v (.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))) u)) (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v))))))
(/.f32 (.f32 (.f32 v u) (neg.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1))) (neg.f32 (+.f32 1 (exp.f32 (/.f32 2 v)))))
(/.f32 (.f32 (.f32 v u) (neg.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))))) (neg.f32 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v)))))))
(/.f32 (.f32 (.f32 (*.f32 v u) 1) 1) (/.f32 1 (expm1.f32 (/.f32 2 v))))
(/.f32 (.f32 (.f32 (*.f32 v u) 1) (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1)) (+.f32 1 (exp.f32 (/.f32 2 v))))
(/.f32 (.f32 (.f32 (*.f32 v u) 1) (+.f32 -1 (exp.f32 (/.f32 6 v)))) (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v))))))
(/.f32 (.f32 (.f32 (*.f32 v u) 1) (+.f32 -1 (exp.f32 (/.f32 6 v)))) (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) (-.f32 1 (/.f32 -1 (exp.f32 (/.f32 -2 v))))))
(/.f32 (.f32 (.f32 (*.f32 v u) 1) (neg.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1))) (neg.f32 (+.f32 1 (exp.f32 (/.f32 2 v)))))
(/.f32 (.f32 (.f32 (*.f32 v u) 1) (neg.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))))) (neg.f32 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v)))))))
(/.f32 (.f32 (.f32 (*.f32 v u) (sqrt.f32 (expm1.f32 (/.f32 2 v)))) (sqrt.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))))) (sqrt.f32 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v)))))))
(/.f32 (.f32 (.f32 (*.f32 v u) (sqrt.f32 (expm1.f32 (/.f32 2 v)))) (sqrt.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 2 v)))))
(/.f32 (.f32 (.f32 (*.f32 v u) (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) 2)) (cbrt.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))))) (cbrt.f32 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v)))))))
(/.f32 (.f32 (.f32 (*.f32 v u) (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) 2)) (cbrt.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1))) (cbrt.f32 (+.f32 1 (exp.f32 (/.f32 2 v)))))
(/.f32 (.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1) (.f32 v u)) (+.f32 1 (exp.f32 (/.f32 2 v))))
(/.f32 (.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))) (.f32 v u)) (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v))))))
(/.f32 (.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))) (.f32 v u)) (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) (-.f32 1 (/.f32 -1 (exp.f32 (/.f32 -2 v))))))
(/.f32 (.f32 (neg.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1)) (.f32 v u)) (neg.f32 (+.f32 1 (exp.f32 (/.f32 2 v)))))
(/.f32 (.f32 (neg.f32 (+.f32 -1 (exp.f32 (/.f32 6 v)))) (.f32 v u)) (neg.f32 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v)))))))
(/.f32 (.f32 (.f32 u (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1)) v) (+.f32 1 (exp.f32 (/.f32 2 v))))
(/.f32 (.f32 (.f32 u (+.f32 -1 (exp.f32 (/.f32 6 v)))) v) (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v))))))
(/.f32 (.f32 (.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1) u) v) (+.f32 1 (exp.f32 (/.f32 2 v))))
(/.f32 (.f32 (.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))) u) v) (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v))))))
(/.f32 (.f32 (.f32 (*.f32 v u) (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1)) 1) (+.f32 1 (exp.f32 (/.f32 2 v))))
(/.f32 (.f32 (.f32 (*.f32 v u) (+.f32 -1 (exp.f32 (/.f32 6 v)))) 1) (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v))))))
(/.f32 (/.f32 (.f32 (.f32 v u) (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1)) 1) (+.f32 1 (exp.f32 (/.f32 2 v))))
(/.f32 (/.f32 (.f32 (.f32 v u) (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1)) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 2 v))))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 2 v)))))
(/.f32 (/.f32 (.f32 (.f32 v u) (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1)) (*.f32 (cbrt.f32 (+.f32 1 (exp.f32 (/.f32 2 v)))) (cbrt.f32 (+.f32 1 (exp.f32 (/.f32 2 v)))))) (cbrt.f32 (+.f32 1 (exp.f32 (/.f32 2 v)))))
(/.f32 (/.f32 (.f32 (.f32 v u) (+.f32 -1 (exp.f32 (/.f32 6 v)))) 1) (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v))))))
(/.f32 (/.f32 (.f32 (.f32 v u) (+.f32 -1 (exp.f32 (/.f32 6 v)))) (sqrt.f32 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v))))))) (sqrt.f32 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v)))))))
(/.f32 (/.f32 (.f32 (.f32 v u) (+.f32 -1 (exp.f32 (/.f32 6 v)))) (*.f32 (cbrt.f32 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v)))))) (cbrt.f32 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v)))))))) (cbrt.f32 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v)))))))
(pow.f32 (.f32 v (.f32 (expm1.f32 (/.f32 2 v)) u)) 1)
(pow.f32 (sqrt.f32 (.f32 v (.f32 (expm1.f32 (/.f32 2 v)) u))) 2)
(pow.f32 (cbrt.f32 (.f32 v (.f32 (expm1.f32 (/.f32 2 v)) u))) 3)
(pow.f32 (pow.f32 (.f32 v (.f32 (expm1.f32 (/.f32 2 v)) u)) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 v (.f32 (expm1.f32 (/.f32 2 v)) u)) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u) (expm1.f32 (/.f32 2 v))) v))
(log.f32 (+.f32 1 (expm1.f32 (.f32 v (.f32 (expm1.f32 (/.f32 2 v)) u)))))
(cbrt.f32 (pow.f32 (.f32 v (.f32 (expm1.f32 (/.f32 2 v)) u)) 3))
(cbrt.f32 (.f32 (pow.f32 v 3) (pow.f32 (.f32 (expm1.f32 (/.f32 2 v)) u) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 (expm1.f32 (/.f32 2 v)) u) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (.f32 v (.f32 (expm1.f32 (/.f32 2 v)) u))))
(exp.f32 (log.f32 (.f32 v (.f32 (expm1.f32 (/.f32 2 v)) u))))
(exp.f32 (.f32 (log.f32 (.f32 v (*.f32 (expm1.f32 (/.f32 2 v)) u))) 1))
(log1p.f32 (expm1.f32 (.f32 v (.f32 (expm1.f32 (/.f32 2 v)) u))))

Outputs
(/.f32 2 v)
(+.f32 (.f32 2 (/.f32 1 v)) (.f32 2 (/.f32 1 (pow.f32 v 2))))
(+.f32 (/.f32 2 v) (/.f32 2 (*.f32 v v)))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (*.f32 2 (/.f32 1 (pow.f32 v 2)))))
(+.f32 (/.f32 4/3 (pow.f32 v 3)) (+.f32 (/.f32 2 v) (/.f32 2 (*.f32 v v))))
(+.f32 (/.f32 2 v) (+.f32 (/.f32 2 (*.f32 v v)) (/.f32 4/3 (pow.f32 v 3))))
(+.f32 (/.f32 2 (*.f32 v v)) (+.f32 (/.f32 2 v) (/.f32 4/3 (pow.f32 v 3))))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2/3 (/.f32 1 (pow.f32 v 4))))))
(+.f32 (/.f32 4/3 (pow.f32 v 3)) (+.f32 (+.f32 (/.f32 2 v) (/.f32 2 (*.f32 v v))) (/.f32 2/3 (pow.f32 v 4))))
(+.f32 (/.f32 2 v) (+.f32 (+.f32 (/.f32 2 (*.f32 v v)) (/.f32 2/3 (pow.f32 v 4))) (/.f32 4/3 (pow.f32 v 3))))
(+.f32 (/.f32 4/3 (pow.f32 v 3)) (+.f32 (/.f32 2/3 (pow.f32 v 4)) (+.f32 (/.f32 2 v) (/.f32 2 (*.f32 v v)))))
(/.f32 2 v)
(+.f32 (.f32 2 (/.f32 1 v)) (.f32 2 (/.f32 1 (pow.f32 v 2))))
(+.f32 (/.f32 2 v) (/.f32 2 (*.f32 v v)))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (*.f32 2 (/.f32 1 (pow.f32 v 2)))))
(+.f32 (/.f32 4/3 (pow.f32 v 3)) (+.f32 (/.f32 2 v) (/.f32 2 (*.f32 v v))))
(+.f32 (/.f32 2 v) (+.f32 (/.f32 2 (*.f32 v v)) (/.f32 4/3 (pow.f32 v 3))))
(+.f32 (/.f32 2 (*.f32 v v)) (+.f32 (/.f32 2 v) (/.f32 4/3 (pow.f32 v 3))))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2/3 (/.f32 1 (pow.f32 v 4))))))
(+.f32 (/.f32 4/3 (pow.f32 v 3)) (+.f32 (+.f32 (/.f32 2 v) (/.f32 2 (*.f32 v v))) (/.f32 2/3 (pow.f32 v 4))))
(+.f32 (/.f32 2 v) (+.f32 (+.f32 (/.f32 2 (*.f32 v v)) (/.f32 2/3 (pow.f32 v 4))) (/.f32 4/3 (pow.f32 v 3))))
(+.f32 (/.f32 4/3 (pow.f32 v 3)) (+.f32 (/.f32 2/3 (pow.f32 v 4)) (+.f32 (/.f32 2 v) (/.f32 2 (*.f32 v v)))))
1
(+.f32 1 (*.f32 2 (/.f32 1 v)))
(+.f32 1 (/.f32 2 v))
(+.f32 1 (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2 (/.f32 1 v))))
(+.f32 1 (+.f32 (/.f32 2 v) (/.f32 2 (*.f32 v v))))
(+.f32 1 (+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (*.f32 2 (/.f32 1 v)))))
(+.f32 1 (+.f32 (/.f32 4/3 (pow.f32 v 3)) (+.f32 (/.f32 2 v) (/.f32 2 (*.f32 v v)))))
(+.f32 (+.f32 (/.f32 2 v) (/.f32 4/3 (pow.f32 v 3))) (+.f32 1 (/.f32 2 (*.f32 v v))))
1
(+.f32 1 (*.f32 2 (/.f32 1 v)))
(+.f32 1 (/.f32 2 v))
(+.f32 1 (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2 (/.f32 1 v))))
(+.f32 1 (+.f32 (/.f32 2 v) (/.f32 2 (*.f32 v v))))
(+.f32 1 (+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (*.f32 2 (/.f32 1 v)))))
(+.f32 1 (+.f32 (/.f32 4/3 (pow.f32 v 3)) (+.f32 (/.f32 2 v) (/.f32 2 (*.f32 v v)))))
(+.f32 (+.f32 (/.f32 2 v) (/.f32 4/3 (pow.f32 v 3))) (+.f32 1 (/.f32 2 (*.f32 v v))))
(*.f32 2 u)
(+.f32 (.f32 2 u) (.f32 2 (/.f32 u v)))
(*.f32 2 (+.f32 u (/.f32 u v)))
(+.f32 (.f32 2 u) (+.f32 (.f32 2 (/.f32 u v)) (*.f32 4/3 (/.f32 u (pow.f32 v 2)))))
(fma.f32 2 u (fma.f32 2 (/.f32 u v) (.f32 4/3 (/.f32 u (.f32 v v)))))
(fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 4/3 (/.f32 u (.f32 v v))))
(fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v))))
(+.f32 (.f32 2 u) (+.f32 (.f32 2 (/.f32 u v)) (+.f32 (.f32 2/3 (/.f32 u (pow.f32 v 3))) (.f32 4/3 (/.f32 u (pow.f32 v 2))))))
(fma.f32 2 u (fma.f32 2 (/.f32 u v) (fma.f32 2/3 (/.f32 u (pow.f32 v 3)) (.f32 4/3 (/.f32 u (.f32 v v))))))
(fma.f32 2 (+.f32 u (/.f32 u v)) (fma.f32 4/3 (/.f32 u (.f32 v v)) (.f32 2/3 (/.f32 u (pow.f32 v 3)))))
(fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 (/.f32 u (.f32 v v)) (+.f32 4/3 (/.f32 2/3 v))))
(*.f32 2 u)
(+.f32 (.f32 2 u) (.f32 2 (/.f32 u v)))
(*.f32 2 (+.f32 u (/.f32 u v)))
(+.f32 (.f32 2 u) (+.f32 (.f32 2 (/.f32 u v)) (*.f32 4/3 (/.f32 u (pow.f32 v 2)))))
(fma.f32 2 u (fma.f32 2 (/.f32 u v) (.f32 4/3 (/.f32 u (.f32 v v)))))
(fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 4/3 (/.f32 u (.f32 v v))))
(fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v))))
(+.f32 (.f32 2 u) (+.f32 (.f32 2 (/.f32 u v)) (+.f32 (.f32 2/3 (/.f32 u (pow.f32 v 3))) (.f32 4/3 (/.f32 u (pow.f32 v 2))))))
(fma.f32 2 u (fma.f32 2 (/.f32 u v) (fma.f32 2/3 (/.f32 u (pow.f32 v 3)) (.f32 4/3 (/.f32 u (.f32 v v))))))
(fma.f32 2 (+.f32 u (/.f32 u v)) (fma.f32 4/3 (/.f32 u (.f32 v v)) (.f32 2/3 (/.f32 u (pow.f32 v 3)))))
(fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 (/.f32 u (.f32 v v)) (+.f32 4/3 (/.f32 2/3 v))))
(+.f32 (exp.f32 (/.f32 2 v)) -1)
(expm1.f32 (/.f32 2 v))
(+.f32 -1 (exp.f32 (/.f32 2 v)))
(+.f32 (exp.f32 (/.f32 2 v)) -1)
(expm1.f32 (/.f32 2 v))
(*.f32 1 (expm1.f32 (/.f32 2 v)))
(+.f32 (exp.f32 (/.f32 2 v)) -1)
(expm1.f32 (/.f32 2 v))
(*.f32 (expm1.f32 (/.f32 2 v)) 1)
(+.f32 (exp.f32 (/.f32 2 v)) -1)
(expm1.f32 (/.f32 2 v))
(*.f32 (sqrt.f32 (expm1.f32 (/.f32 2 v))) (sqrt.f32 (expm1.f32 (/.f32 2 v))))
(+.f32 (exp.f32 (/.f32 2 v)) -1)
(expm1.f32 (/.f32 2 v))
(*.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) 2))
(+.f32 (exp.f32 (/.f32 2 v)) -1)
(expm1.f32 (/.f32 2 v))
(*.f32 (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) 2) (cbrt.f32 (expm1.f32 (/.f32 2 v))))
(+.f32 (exp.f32 (/.f32 2 v)) -1)
(expm1.f32 (/.f32 2 v))
(*.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 2 v)))))
(/.f32 (+.f32 -1 (exp.f32 (neg.f32 (/.f32 -4 v)))) (+.f32 1 (exp.f32 (/.f32 2 v))))
(/.f32 (expm1.f32 (/.f32 4 v)) (+.f32 1 (exp.f32 (/.f32 2 v))))
(/.f32 (expm1.f32 (/.f32 4 v)) (+.f32 2 (expm1.f32 (/.f32 2 v))))
(*.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))) (/.f32 1 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v)))))))
(/.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))) (+.f32 (+.f32 1 (exp.f32 (/.f32 2 v))) (exp.f32 (neg.f32 (/.f32 -4 v)))))
(/.f32 (expm1.f32 (/.f32 6 v)) (+.f32 1 (+.f32 (exp.f32 (/.f32 2 v)) (exp.f32 (/.f32 4 v)))))
(/.f32 (expm1.f32 (/.f32 6 v)) (+.f32 (exp.f32 (/.f32 4 v)) (+.f32 2 (expm1.f32 (/.f32 2 v)))))
(*.f32 (+.f32 1 (sqrt.f32 (exp.f32 (/.f32 2 v)))) (-.f32 (sqrt.f32 (exp.f32 (/.f32 2 v))) 1))
(+.f32 (exp.f32 (/.f32 2 v)) -1)
(expm1.f32 (/.f32 2 v))
(*.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 2 v)))) (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1))
(/.f32 (+.f32 -1 (exp.f32 (neg.f32 (/.f32 -4 v)))) (+.f32 1 (exp.f32 (/.f32 2 v))))
(/.f32 (expm1.f32 (/.f32 4 v)) (+.f32 1 (exp.f32 (/.f32 2 v))))
(/.f32 (expm1.f32 (/.f32 4 v)) (+.f32 2 (expm1.f32 (/.f32 2 v))))
(*.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v)))))) (+.f32 -1 (exp.f32 (/.f32 6 v))))
(/.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))) (+.f32 (+.f32 1 (exp.f32 (/.f32 2 v))) (exp.f32 (neg.f32 (/.f32 -4 v)))))
(/.f32 (expm1.f32 (/.f32 6 v)) (+.f32 1 (+.f32 (exp.f32 (/.f32 2 v)) (exp.f32 (/.f32 4 v)))))
(/.f32 (expm1.f32 (/.f32 6 v)) (+.f32 (exp.f32 (/.f32 4 v)) (+.f32 2 (expm1.f32 (/.f32 2 v)))))
(*.f32 (/.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1) (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1)) (expm1.f32 (/.f32 2 v)))
(+.f32 (exp.f32 (/.f32 2 v)) -1)
(expm1.f32 (/.f32 2 v))
(*.f32 (/.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1) (-.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v))))) (-.f32 1 (exp.f32 (/.f32 2 v))))
(*.f32 (/.f32 (+.f32 -1 (exp.f32 (neg.f32 (/.f32 -4 v)))) (-.f32 1 (exp.f32 (neg.f32 (/.f32 -4 v))))) (-.f32 1 (exp.f32 (/.f32 2 v))))
(*.f32 (/.f32 (expm1.f32 (/.f32 4 v)) (neg.f32 (expm1.f32 (/.f32 4 v)))) (-.f32 1 (exp.f32 (/.f32 2 v))))
(*.f32 -1 (-.f32 0 (expm1.f32 (/.f32 2 v))))
(*.f32 (/.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1) (+.f32 1 (exp.f32 (/.f32 6 v)))) (+.f32 1 (-.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) (exp.f32 (/.f32 2 v)))))
(/.f32 (*.f32 (+.f32 -1 (exp.f32 (neg.f32 (/.f32 -4 v)))) (+.f32 1 (-.f32 (exp.f32 (neg.f32 (/.f32 -4 v))) (exp.f32 (/.f32 2 v))))) (+.f32 1 (exp.f32 (/.f32 6 v))))
(/.f32 (expm1.f32 (/.f32 4 v)) (/.f32 (+.f32 1 (exp.f32 (/.f32 6 v))) (-.f32 (exp.f32 (/.f32 4 v)) (expm1.f32 (/.f32 2 v)))))
(.f32 (/.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))) (-.f32 (/.f32 (exp.f32 (/.f32 6 v)) (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (exp.f32 (/.f32 2 v))) (+.f32 1 (exp.f32 (/.f32 2 v)))))) (-.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) (+.f32 1 (exp.f32 (/.f32 2 v)))))
(.f32 (/.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))) (-.f32 (exp.f32 (-.f32 (/.f32 6 v) (/.f32 -2 v))) (.f32 (+.f32 1 (exp.f32 (/.f32 2 v))) (+.f32 1 (exp.f32 (/.f32 2 v)))))) (-.f32 (exp.f32 (neg.f32 (/.f32 -4 v))) (+.f32 1 (exp.f32 (/.f32 2 v)))))
(.f32 (/.f32 (expm1.f32 (/.f32 6 v)) (+.f32 (exp.f32 (-.f32 (/.f32 6 v) (/.f32 -2 v))) (.f32 (+.f32 1 (exp.f32 (/.f32 2 v))) (-.f32 -1 (exp.f32 (/.f32 2 v)))))) (-.f32 (expm1.f32 (/.f32 4 v)) (exp.f32 (/.f32 2 v))))
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(/.f32 (*.f32 1 (neg.f32 (+.f32 (/.f32 1 (exp.f32 (/.f32 -4 v))) -1))) (neg.f32 (+.f32 1 (exp.f32 (/.f32 2 v)))))
(/.f32 (+.f32 -1 (exp.f32 (neg.f32 (/.f32 -4 v)))) (+.f32 1 (exp.f32 (/.f32 2 v))))
(/.f32 (expm1.f32 (/.f32 4 v)) (+.f32 1 (exp.f32 (/.f32 2 v))))
(/.f32 (expm1.f32 (/.f32 4 v)) (+.f32 2 (expm1.f32 (/.f32 2 v))))
(/.f32 (*.f32 1 (neg.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))))) (neg.f32 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v)))))))
(/.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))) (+.f32 (+.f32 1 (exp.f32 (/.f32 2 v))) (exp.f32 (neg.f32 (/.f32 -4 v)))))
(/.f32 (expm1.f32 (/.f32 6 v)) (+.f32 1 (+.f32 (exp.f32 (/.f32 2 v)) (exp.f32 (/.f32 4 v)))))
(/.f32 (expm1.f32 (/.f32 6 v)) (+.f32 (exp.f32 (/.f32 4 v)) (+.f32 2 (expm1.f32 (/.f32 2 v)))))
(/.f32 (*.f32 (sqrt.f32 (expm1.f32 (/.f32 2 v))) (sqrt.f32 (+.f32 -1 (exp.f32 (/.f32 6 v))))) (sqrt.f32 (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (/.f32 1 (exp.f32 (/.f32 -4 v)))))))
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(/.f32 (*.f32 (sqrt.f32 (expm1.f32 (/.f32 2 v))) (sqrt.f32 (expm1.f32 (/.f32 6 v)))) (sqrt.f32 (+.f32 1 (+.f32 (exp.f32 (/.f32 2 v)) (exp.f32 (/.f32 4 v))))))
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(expm1.f32 (log1p.f32 (.f32 v (.f32 (expm1.f32 (/.f32 2 v)) u))))
(.f32 (.f32 v u) (+.f32 (exp.f32 (/.f32 2 v)) -1))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u))
(exp.f32 (log.f32 (.f32 v (.f32 (expm1.f32 (/.f32 2 v)) u))))
(.f32 (.f32 v u) (+.f32 (exp.f32 (/.f32 2 v)) -1))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u))
(exp.f32 (.f32 (log.f32 (.f32 v (*.f32 (expm1.f32 (/.f32 2 v)) u))) 1))
(.f32 (.f32 v u) (+.f32 (exp.f32 (/.f32 2 v)) -1))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u))
(log1p.f32 (expm1.f32 (.f32 v (.f32 (expm1.f32 (/.f32 2 v)) u))))
(.f32 (.f32 v u) (+.f32 (exp.f32 (/.f32 2 v)) -1))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u))

localize65.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f32 (/.f32 -2 v))
✓	0.0b	(*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))
✓	0.0b	(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)

Compiler

Compiled 41 to 26 computations (36.6% saved)

series56.0ms (0.4%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
27.0ms	u	@	-inf	(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)
16.0ms	u	@	0	(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)
6.0ms	u	@	inf	(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)
3.0ms	v	@	0	(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)
2.0ms	v	@	inf	(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`*-commutative`
778×	`unswap-sqr`
622×	`swap-sqr`
526×	`associate-*r/`
442×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	275	57
2	3267	57

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs
(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)
(*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))
(expm1.f32 (/.f32 -2 v))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 v (log.f32 (expm1.f32 (/.f32 -2 v)))) (+.f32 (*.f32 v (log.f32 u)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (*.f32 v (log.f32 (expm1.f32 (/.f32 -2 v))))) (*.f32 v (log.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 2) (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))) (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))) (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))) (*.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 2)) (cbrt.f32 (sqrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 2)) (cbrt.f32 (sqrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 3/2) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1) 3) 1/6) (pow.f32 (pow.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (pow.f32 (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 2) (*.f32 v v)) 1) (-.f32 (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (*.f32 (pow.f32 (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 2) (*.f32 v v)) (-.f32 1 (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 (*.f32 (pow.f32 (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 2) (*.f32 v v)) 1)) (-.f32 (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))) 3))) (+.f32 (*.f32 (pow.f32 (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 2) (*.f32 v v)) (-.f32 1 (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 2) (*.f32 v v)) 1) 1) (-.f32 (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))) 3)) 1) (+.f32 (*.f32 (pow.f32 (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 2) (*.f32 v v)) (-.f32 1 (*.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (expm1.f32 (/.f32 -2 v)) u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (exp.f32 (log1p.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) 0) (*.f32 (expm1.f32 (/.f32 -2 v)) u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (exp.f32 (/.f32 -2 v))) u)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (neg.f32 (expm1.f32 (/.f32 -2 v))) 0) (*.f32 (expm1.f32 (/.f32 -2 v)) u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (expm1.f32 (/.f32 -2 v))) (*.f32 (expm1.f32 (/.f32 -2 v)) u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (exp.f32 (/.f32 -2 v)) u) u)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (neg.f32 (expm1.f32 (/.f32 -2 v)))) (*.f32 (expm1.f32 (/.f32 -2 v)) u))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (expm1.f32 (/.f32 -2 v)) u))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (+.f32 (*.f32 u u) 0)) u)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (+.f32 0 (pow.f32 u 3))) (+.f32 (*.f32 u u) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (-.f32 (*.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) 1)) (+.f32 1 (exp.f32 (/.f32 -2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (-.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) 1)) (+.f32 (*.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) (+.f32 1 (exp.f32 (/.f32 -2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 (expm1.f32 (/.f32 -2 v))) (+.f32 (*.f32 u u) 0)) u)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 (expm1.f32 (/.f32 -2 v))) (+.f32 0 (pow.f32 u 3))) (+.f32 (*.f32 u u) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) 1) u) (+.f32 1 (exp.f32 (/.f32 -2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) 1) u) (+.f32 (*.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) (+.f32 1 (exp.f32 (/.f32 -2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 u u) 0) (expm1.f32 (/.f32 -2 v))) u)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 0 (pow.f32 u 3)) (expm1.f32 (/.f32 -2 v))) (+.f32 (*.f32 u u) 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)))) (sqrt.f32 (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))) 2)) (cbrt.f32 (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u) (expm1.f32 (/.f32 -2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (expm1.f32 (/.f32 -2 v)) 3) (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)))))))

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simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1318×	`associate-/l*`
1040×	`associate-/r*`
734×	`times-frac`
624×	`associate-+l+`
604×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	5298
1	820	4982
2	3049	4902

Stop Event

1×	node limit

Counts

160 → 187

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 v (log.f32 (.f32 -1 (*.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1))))))
(+.f32 1 (.f32 v (log.f32 (.f32 -1 (*.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1))))))
(+.f32 1 (.f32 v (log.f32 (.f32 -1 (*.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1))))))
(.f32 (+.f32 (log.f32 (.f32 2 u)) (log.f32 (/.f32 1 v))) v)
(+.f32 (.f32 1/6 (/.f32 1 v)) (.f32 (+.f32 (log.f32 (*.f32 2 u)) (log.f32 (/.f32 1 v))) v))
(-.f32 (+.f32 (.f32 1/6 (/.f32 1 v)) (.f32 (+.f32 (log.f32 (.f32 2 u)) (log.f32 (/.f32 1 v))) v)) (.f32 1/180 (/.f32 1 (pow.f32 v 3))))
(-.f32 (+.f32 (.f32 1/6 (/.f32 1 v)) (+.f32 (.f32 1/2835 (/.f32 1 (pow.f32 v 5))) (.f32 (+.f32 (log.f32 (.f32 2 u)) (log.f32 (/.f32 1 v))) v))) (*.f32 1/180 (/.f32 1 (pow.f32 v 3))))
(.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (.f32 -2 u))))
(+.f32 (.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (.f32 -2 u)))) (*.f32 1/6 (/.f32 1 v)))
(-.f32 (+.f32 (.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (.f32 -2 u)))) (.f32 1/6 (/.f32 1 v))) (.f32 1/180 (/.f32 1 (pow.f32 v 3))))
(-.f32 (+.f32 (.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (.f32 -2 u)))) (+.f32 (.f32 1/6 (/.f32 1 v)) (.f32 1/2835 (/.f32 1 (pow.f32 v 5))))) (*.f32 1/180 (/.f32 1 (pow.f32 v 3))))
(+.f32 1 (.f32 v (+.f32 (log.f32 (.f32 -1 (-.f32 (exp.f32 (/.f32 -2 v)) 1))) (log.f32 u))))
(+.f32 1 (.f32 v (+.f32 (log.f32 (.f32 -1 (-.f32 (exp.f32 (/.f32 -2 v)) 1))) (log.f32 u))))
(+.f32 1 (.f32 v (+.f32 (log.f32 (.f32 -1 (-.f32 (exp.f32 (/.f32 -2 v)) 1))) (log.f32 u))))
(+.f32 1 (.f32 v (+.f32 (log.f32 (.f32 -1 (-.f32 (exp.f32 (/.f32 -2 v)) 1))) (log.f32 u))))
(+.f32 1 (.f32 (+.f32 (log.f32 (.f32 -1 (-.f32 (exp.f32 (/.f32 -2 v)) 1))) (*.f32 -1 (log.f32 (/.f32 1 u)))) v))
(+.f32 1 (.f32 (+.f32 (log.f32 (.f32 -1 (-.f32 (exp.f32 (/.f32 -2 v)) 1))) (*.f32 -1 (log.f32 (/.f32 1 u)))) v))
(+.f32 1 (.f32 (+.f32 (log.f32 (.f32 -1 (-.f32 (exp.f32 (/.f32 -2 v)) 1))) (*.f32 -1 (log.f32 (/.f32 1 u)))) v))
(+.f32 1 (.f32 (+.f32 (log.f32 (.f32 -1 (-.f32 (exp.f32 (/.f32 -2 v)) 1))) (*.f32 -1 (log.f32 (/.f32 1 u)))) v))
(+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)))))
(+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)))))
(+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)))))
(+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)))))
(.f32 -1 (.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) u))
(.f32 -1 (.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) u))
(.f32 -1 (.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) u))
(.f32 -1 (.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) u))
(*.f32 2 (/.f32 u v))
(+.f32 (.f32 -2 (/.f32 u (pow.f32 v 2))) (.f32 2 (/.f32 u v)))
(+.f32 (.f32 -2 (/.f32 u (pow.f32 v 2))) (+.f32 (.f32 2 (/.f32 u v)) (*.f32 4/3 (/.f32 u (pow.f32 v 3)))))
(+.f32 (.f32 -2/3 (/.f32 u (pow.f32 v 4))) (+.f32 (.f32 -2 (/.f32 u (pow.f32 v 2))) (+.f32 (.f32 2 (/.f32 u v)) (.f32 4/3 (/.f32 u (pow.f32 v 3))))))
(*.f32 2 (/.f32 u v))
(+.f32 (.f32 -2 (/.f32 u (pow.f32 v 2))) (.f32 2 (/.f32 u v)))
(+.f32 (.f32 -2 (/.f32 u (pow.f32 v 2))) (+.f32 (.f32 2 (/.f32 u v)) (*.f32 4/3 (/.f32 u (pow.f32 v 3)))))
(+.f32 (.f32 -2/3 (/.f32 u (pow.f32 v 4))) (+.f32 (.f32 -2 (/.f32 u (pow.f32 v 2))) (+.f32 (.f32 2 (/.f32 u v)) (.f32 4/3 (/.f32 u (pow.f32 v 3))))))
(.f32 -1 (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1)))
(.f32 -1 (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1)))
(.f32 -1 (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1)))
(.f32 -1 (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1)))
(.f32 -1 (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1)))
(.f32 -1 (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1)))
(.f32 -1 (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1)))
(.f32 -1 (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1)))
(.f32 -1 (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1)))
(.f32 -1 (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1)))
(.f32 -1 (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1)))
(.f32 -1 (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1)))
(-.f32 (exp.f32 (/.f32 -2 v)) 1)
(-.f32 (exp.f32 (/.f32 -2 v)) 1)
(-.f32 (exp.f32 (/.f32 -2 v)) 1)
(-.f32 (exp.f32 (/.f32 -2 v)) 1)
(/.f32 -2 v)
(-.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2 (/.f32 1 v)))
(-.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (*.f32 2 (/.f32 1 v))))
(-.f32 (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2/3 (/.f32 1 (pow.f32 v 4)))) (+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (.f32 2 (/.f32 1 v))))
(/.f32 -2 v)
(-.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2 (/.f32 1 v)))
(-.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (*.f32 2 (/.f32 1 v))))
(-.f32 (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2/3 (/.f32 1 (pow.f32 v 4)))) (+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (.f32 2 (/.f32 1 v))))
(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u))))
(+.f32 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u))) 1)
(+.f32 (.f32 v (log.f32 (expm1.f32 (/.f32 -2 v)))) (+.f32 (.f32 v (log.f32 u)) 1))
(+.f32 (+.f32 1 (.f32 v (log.f32 (expm1.f32 (/.f32 -2 v))))) (.f32 v (log.f32 u)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))) 1)
(.f32 1 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))
(.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1) 1)
(.f32 (sqrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))
(.f32 (cbrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 2))
(.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 2) (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))) (cbrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))) (.f32 (sqrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))) (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 2))) (.f32 (cbrt.f32 (sqrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 2))))
(.f32 (.f32 (cbrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))) (.f32 (cbrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 2)) (cbrt.f32 (sqrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 2)) (cbrt.f32 (sqrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))))
(.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 3/2) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 3/2))
(.f32 (pow.f32 (pow.f32 (fma.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 1) 3) 1/6) (pow.f32 (pow.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1) 3) 1/6))
(/.f32 (-.f32 (.f32 (pow.f32 (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 2) (.f32 v v)) 1) (-.f32 (.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))) 1))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (.f32 (pow.f32 (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 2) (.f32 v v)) (-.f32 1 (.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 1 (-.f32 (.f32 (pow.f32 (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 2) (.f32 v v)) 1)) (-.f32 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u))) 1))
(/.f32 (.f32 1 (+.f32 1 (pow.f32 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u))) 3))) (+.f32 (.f32 (pow.f32 (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 2) (.f32 v v)) (-.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 2) (.f32 v v)) 1) 1) (-.f32 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u))) 1))
(/.f32 (.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u))) 3)) 1) (+.f32 (.f32 (pow.f32 (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)) 2) (.f32 v v)) (-.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u))))))
(pow.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1) 1)
(pow.f32 (sqrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 2)
(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)) 3)
(pow.f32 (pow.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1) 3) 1/3)
(sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1) 2))
(log.f32 (exp.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1))))
(cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1) 3))
(expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))
(exp.f32 (log.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))
(log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 1)))
(+.f32 0 (*.f32 (expm1.f32 (/.f32 -2 v)) u))
(+.f32 (-.f32 0 (exp.f32 (log1p.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)))) 1)
(+.f32 (.f32 (expm1.f32 (/.f32 -2 v)) 0) (.f32 (expm1.f32 (/.f32 -2 v)) u))
(+.f32 (*.f32 u (exp.f32 (/.f32 -2 v))) u)
(+.f32 (.f32 (neg.f32 (expm1.f32 (/.f32 -2 v))) 0) (.f32 (expm1.f32 (/.f32 -2 v)) u))
(+.f32 (.f32 0 (expm1.f32 (/.f32 -2 v))) (.f32 (expm1.f32 (/.f32 -2 v)) u))
(+.f32 (*.f32 (exp.f32 (/.f32 -2 v)) u) u)
(+.f32 (.f32 0 (neg.f32 (expm1.f32 (/.f32 -2 v)))) (.f32 (expm1.f32 (/.f32 -2 v)) u))
(-.f32 0 (*.f32 (expm1.f32 (/.f32 -2 v)) u))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))) 1)
(/.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (+.f32 (.f32 u u) 0)) u)
(/.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (+.f32 0 (pow.f32 u 3))) (+.f32 (.f32 u u) 0))
(/.f32 (.f32 u (-.f32 (.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) 1)) (+.f32 1 (exp.f32 (/.f32 -2 v))))
(/.f32 (.f32 u (-.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) 1)) (+.f32 (.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) (+.f32 1 (exp.f32 (/.f32 -2 v)))))
(/.f32 (.f32 (neg.f32 (expm1.f32 (/.f32 -2 v))) (+.f32 (.f32 u u) 0)) u)
(/.f32 (.f32 (neg.f32 (expm1.f32 (/.f32 -2 v))) (+.f32 0 (pow.f32 u 3))) (+.f32 (.f32 u u) 0))
(/.f32 (.f32 (-.f32 (.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) 1) u) (+.f32 1 (exp.f32 (/.f32 -2 v))))
(/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) 1) u) (+.f32 (.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) (+.f32 1 (exp.f32 (/.f32 -2 v)))))
(/.f32 (.f32 (+.f32 (.f32 u u) 0) (expm1.f32 (/.f32 -2 v))) u)
(/.f32 (.f32 (+.f32 0 (pow.f32 u 3)) (expm1.f32 (/.f32 -2 v))) (+.f32 (.f32 u u) 0))
(pow.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u) 1)
(pow.f32 (sqrt.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 2)
(pow.f32 (cbrt.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)) 3)
(pow.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u) 3) 1/3)
(pow.f32 (E.f32) (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u)))) (sqrt.f32 (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u))) 2)) (cbrt.f32 (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) u))))
(neg.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))
(sqrt.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u) 2))
(log.f32 (pow.f32 (exp.f32 u) (expm1.f32 (/.f32 -2 v))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u))))
(cbrt.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u) 3))
(cbrt.f32 (*.f32 (pow.f32 (expm1.f32 (/.f32 -2 v)) 3) (pow.f32 u 3)))
(expm1.f32 (log1p.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)))
(exp.f32 (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)))
(log1p.f32 (expm1.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) u)))
(+.f32 (exp.f32 (/.f32 -2 v)) -1)
(+.f32 -1 (exp.f32 (/.f32 -2 v)))
(-.f32 (exp.f32 (/.f32 -2 v)) 1)
(*.f32 (expm1.f32 (/.f32 -2 v)) 1)
(*.f32 1 (expm1.f32 (/.f32 -2 v)))
(*.f32 (sqrt.f32 (expm1.f32 (/.f32 -2 v))) (sqrt.f32 (expm1.f32 (/.f32 -2 v))))
(*.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v))) (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v))) 2))
(*.f32 (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v))) 2) (cbrt.f32 (expm1.f32 (/.f32 -2 v))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v)))) (cbrt.f32 (expm1.f32 (/.f32 -2 v)))) (*.f32 (sqrt.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v)))) (cbrt.f32 (expm1.f32 (/.f32 -2 v)))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (expm1.f32 (/.f32 -2 v)))) (sqrt.f32 (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (expm1.f32 (/.f32 -2 v)))) (sqrt.f32 (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v))) 2))))
(.f32 (.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v))) (sqrt.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v))))) (*.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v))) (sqrt.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v))) 2)) (cbrt.f32 (sqrt.f32 (expm1.f32 (/.f32 -2 v))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v))) 2)) (cbrt.f32 (sqrt.f32 (expm1.f32 (/.f32 -2 v))))))
(*.f32 (+.f32 (sqrt.f32 (exp.f32 (/.f32 -2 v))) 1) (-.f32 (sqrt.f32 (exp.f32 (/.f32 -2 v))) 1))
(*.f32 (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v))) 3/2) (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v))) 3/2))
(*.f32 (pow.f32 (pow.f32 (expm1.f32 (/.f32 -2 v)) 3) 1/6) (pow.f32 (pow.f32 (expm1.f32 (/.f32 -2 v)) 3) 1/6))
(/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) 1) (+.f32 1 (exp.f32 (/.f32 -2 v))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) 1) (+.f32 (*.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) (+.f32 1 (exp.f32 (/.f32 -2 v)))))
(/.f32 (.f32 1 (-.f32 (.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) 1)) (+.f32 1 (exp.f32 (/.f32 -2 v))))
(/.f32 (.f32 1 (-.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) 1)) (+.f32 (.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) (+.f32 1 (exp.f32 (/.f32 -2 v)))))
(/.f32 (.f32 (-.f32 (.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) 1) 1) (+.f32 1 (exp.f32 (/.f32 -2 v))))
(/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) 1) 1) (+.f32 (.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) (+.f32 1 (exp.f32 (/.f32 -2 v)))))
(pow.f32 (expm1.f32 (/.f32 -2 v)) 1)
(pow.f32 (sqrt.f32 (expm1.f32 (/.f32 -2 v))) 2)
(pow.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v))) 3)
(pow.f32 (pow.f32 (expm1.f32 (/.f32 -2 v)) 3) 1/3)
(sqrt.f32 (pow.f32 (expm1.f32 (/.f32 -2 v)) 2))
(log.f32 (exp.f32 (expm1.f32 (/.f32 -2 v))))
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (/.f32 -2 v)))))
(cbrt.f32 (pow.f32 (expm1.f32 (/.f32 -2 v)) 3))
(exp.f32 (log.f32 (expm1.f32 (/.f32 -2 v))))
(log1p.f32 (expm1.f32 (expm1.f32 (/.f32 -2 v))))

Outputs
1
(+.f32 1 (.f32 v (log.f32 (.f32 -1 (*.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1))))))
(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u)))))
(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)
(+.f32 1 (.f32 v (log.f32 (.f32 -1 (*.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1))))))
(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u)))))
(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)
(+.f32 1 (.f32 v (log.f32 (.f32 -1 (*.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1))))))
(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u)))))
(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)
(.f32 (+.f32 (log.f32 (.f32 2 u)) (log.f32 (/.f32 1 v))) v)
(.f32 v (+.f32 (log.f32 (.f32 u 2)) (neg.f32 (log.f32 v))))
(.f32 v (-.f32 (log.f32 (.f32 u 2)) (log.f32 v)))
(+.f32 (.f32 1/6 (/.f32 1 v)) (.f32 (+.f32 (log.f32 (*.f32 2 u)) (log.f32 (/.f32 1 v))) v))
(+.f32 (.f32 v (+.f32 (log.f32 (.f32 u 2)) (neg.f32 (log.f32 v)))) (/.f32 1/6 v))
(fma.f32 v (-.f32 (log.f32 (*.f32 u 2)) (log.f32 v)) (/.f32 1/6 v))
(-.f32 (+.f32 (.f32 1/6 (/.f32 1 v)) (.f32 (+.f32 (log.f32 (.f32 2 u)) (log.f32 (/.f32 1 v))) v)) (.f32 1/180 (/.f32 1 (pow.f32 v 3))))
(+.f32 (/.f32 1/6 v) (-.f32 (.f32 v (+.f32 (log.f32 (.f32 u 2)) (neg.f32 (log.f32 v)))) (/.f32 1/180 (pow.f32 v 3))))
(+.f32 (/.f32 1/6 v) (fma.f32 v (-.f32 (log.f32 (*.f32 u 2)) (log.f32 v)) (/.f32 -1/180 (pow.f32 v 3))))
(-.f32 (+.f32 (.f32 1/6 (/.f32 1 v)) (+.f32 (.f32 1/2835 (/.f32 1 (pow.f32 v 5))) (.f32 (+.f32 (log.f32 (.f32 2 u)) (log.f32 (/.f32 1 v))) v))) (*.f32 1/180 (/.f32 1 (pow.f32 v 3))))
(-.f32 (+.f32 (/.f32 1/6 v) (+.f32 (.f32 v (+.f32 (log.f32 (.f32 u 2)) (neg.f32 (log.f32 v)))) (/.f32 1/2835 (pow.f32 v 5)))) (/.f32 1/180 (pow.f32 v 3)))
(+.f32 (fma.f32 v (-.f32 (log.f32 (*.f32 u 2)) (log.f32 v)) (/.f32 1/2835 (pow.f32 v 5))) (+.f32 (/.f32 1/6 v) (/.f32 -1/180 (pow.f32 v 3))))
(+.f32 (fma.f32 v (-.f32 (log.f32 (*.f32 u 2)) (log.f32 v)) (/.f32 1/6 v)) (+.f32 (/.f32 1/2835 (pow.f32 v 5)) (/.f32 -1/180 (pow.f32 v 3))))
(.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (.f32 -2 u))))
(.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (.f32 u -2))))
(+.f32 (.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (.f32 -2 u)))) (*.f32 1/6 (/.f32 1 v)))
(fma.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (*.f32 u -2))) (/.f32 1/6 v))
(-.f32 (+.f32 (.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (.f32 -2 u)))) (.f32 1/6 (/.f32 1 v))) (.f32 1/180 (/.f32 1 (pow.f32 v 3))))
(-.f32 (fma.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (*.f32 u -2))) (/.f32 1/6 v)) (/.f32 1/180 (pow.f32 v 3)))
(+.f32 (fma.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (*.f32 u -2))) (/.f32 1/6 v)) (/.f32 -1/180 (pow.f32 v 3)))
(-.f32 (+.f32 (.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (.f32 -2 u)))) (+.f32 (.f32 1/6 (/.f32 1 v)) (.f32 1/2835 (/.f32 1 (pow.f32 v 5))))) (*.f32 1/180 (/.f32 1 (pow.f32 v 3))))
(-.f32 (fma.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (*.f32 u -2))) (+.f32 (/.f32 1/6 v) (/.f32 1/2835 (pow.f32 v 5)))) (/.f32 1/180 (pow.f32 v 3)))
(+.f32 (fma.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (*.f32 u -2))) (/.f32 1/6 v)) (+.f32 (/.f32 1/2835 (pow.f32 v 5)) (/.f32 -1/180 (pow.f32 v 3))))
(+.f32 1 (.f32 v (+.f32 (log.f32 (.f32 -1 (-.f32 (exp.f32 (/.f32 -2 v)) 1))) (log.f32 u))))
(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u)))))
(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)
(+.f32 1 (.f32 v (+.f32 (log.f32 (.f32 -1 (-.f32 (exp.f32 (/.f32 -2 v)) 1))) (log.f32 u))))
(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u)))))
(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)
(+.f32 1 (.f32 v (+.f32 (log.f32 (.f32 -1 (-.f32 (exp.f32 (/.f32 -2 v)) 1))) (log.f32 u))))
(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u)))))
(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)
(+.f32 1 (.f32 v (+.f32 (log.f32 (.f32 -1 (-.f32 (exp.f32 (/.f32 -2 v)) 1))) (log.f32 u))))
(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u)))))
(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)
(+.f32 1 (.f32 (+.f32 (log.f32 (.f32 -1 (-.f32 (exp.f32 (/.f32 -2 v)) 1))) (*.f32 -1 (log.f32 (/.f32 1 u)))) v))
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(/.f32 (.f32 1 (-.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) 1)) (+.f32 (.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) (+.f32 1 (exp.f32 (/.f32 -2 v)))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) -1) (fma.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v)) (+.f32 1 (exp.f32 (/.f32 -2 v)))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (+.f32 1 (+.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (*.f32 2 (/.f32 -2 v))))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (+.f32 1 (+.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -4 v)))))
(/.f32 (.f32 (-.f32 (.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) 1) 1) (+.f32 1 (exp.f32 (/.f32 -2 v))))
(expm1.f32 (/.f32 -2 v))
(/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) 1) 1) (+.f32 (.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v))) (+.f32 1 (exp.f32 (/.f32 -2 v)))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) -1) (fma.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -2 v)) (+.f32 1 (exp.f32 (/.f32 -2 v)))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (+.f32 1 (+.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (*.f32 2 (/.f32 -2 v))))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (+.f32 1 (+.f32 (exp.f32 (/.f32 -2 v)) (exp.f32 (/.f32 -4 v)))))
(pow.f32 (expm1.f32 (/.f32 -2 v)) 1)
(expm1.f32 (/.f32 -2 v))
(pow.f32 (sqrt.f32 (expm1.f32 (/.f32 -2 v))) 2)
(expm1.f32 (/.f32 -2 v))
(pow.f32 (cbrt.f32 (expm1.f32 (/.f32 -2 v))) 3)
(expm1.f32 (/.f32 -2 v))
(pow.f32 (pow.f32 (expm1.f32 (/.f32 -2 v)) 3) 1/3)
(expm1.f32 (/.f32 -2 v))
(sqrt.f32 (pow.f32 (expm1.f32 (/.f32 -2 v)) 2))
(fabs.f32 (expm1.f32 (/.f32 -2 v)))
(log.f32 (exp.f32 (expm1.f32 (/.f32 -2 v))))
(expm1.f32 (/.f32 -2 v))
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (/.f32 -2 v)))))
(expm1.f32 (/.f32 -2 v))
(cbrt.f32 (pow.f32 (expm1.f32 (/.f32 -2 v)) 3))
(expm1.f32 (/.f32 -2 v))
(exp.f32 (log.f32 (expm1.f32 (/.f32 -2 v))))
(expm1.f32 (/.f32 -2 v))
(log1p.f32 (expm1.f32 (expm1.f32 (/.f32 -2 v))))
(expm1.f32 (/.f32 -2 v))

localize113.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
	0.1b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
	0.1b	(exp.f32 (/.f32 -2 v))
✓	23.6b	(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))

Compiler

Compiled 77 to 54 computations (29.9% saved)

series8.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	u	@	inf	(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
2.0ms	u	@	-inf	(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
2.0ms	v	@	inf	(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
1.0ms	v	@	-inf	(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
1.0ms	u	@	0	(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`associate-*r/`
772×	`associate-*l/`
630×	`distribute-rgt-in`
598×	`distribute-lft-in`
344×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	298	41
2	3544	41

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))) (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2)))) (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) (*.f32 1 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2)))) (*.f32 1 (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1) (*.f32 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))) 1) (*.f32 (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2) (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 0))))))

simplify134.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1818×	`associate-*r/`
1410×	`associate-*l/`
710×	`+-commutative`
628×	`times-frac`
570×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	328	7287
1	986	6699
2	4914	6699

Stop Event

1×	node limit

Counts

53 → 101

Calls

Call 1

Inputs
(.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v)
(+.f32 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v) (.f32 -1/2 (.f32 (pow.f32 v 2) (pow.f32 (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3))) (+.f32 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v) (.f32 -1/2 (.f32 (pow.f32 v 2) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3))) (+.f32 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v) (+.f32 (.f32 -1/2 (.f32 (pow.f32 v 2) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2))) (.f32 -1/4 (.f32 (pow.f32 v 4) (pow.f32 (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 4))))))
(log.f32 (+.f32 1 (*.f32 -2 (-.f32 1 u))))
(+.f32 (log.f32 (+.f32 1 (.f32 -2 (-.f32 1 u)))) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) v))))
(+.f32 (log.f32 (+.f32 1 (.f32 -2 (-.f32 1 u)))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) v))) (.f32 1/2 (/.f32 (+.f32 (.f32 1/3 (/.f32 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (+.f32 1 (.f32 -2 (-.f32 1 u))))) (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 2) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 2)))) (pow.f32 v 2)))))
(+.f32 (log.f32 (+.f32 1 (.f32 -2 (-.f32 1 u)))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) v))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 1/3 (/.f32 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (+.f32 1 (.f32 -2 (-.f32 1 u))))) (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 2) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 2)))) (pow.f32 v 2))) (.f32 1/6 (/.f32 (+.f32 (.f32 1/4 (/.f32 (pow.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 3) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 3))) (+.f32 (.f32 1/4 (/.f32 (+.f32 (.f32 -48 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 -96 (pow.f32 (-.f32 1 u) 4)) (+.f32 (.f32 16 (-.f32 1 u)) (+.f32 (.f32 192 (pow.f32 (-.f32 1 u) 3)) (.f32 -64 (pow.f32 (-.f32 1 u) 2)))))) (+.f32 1 (.f32 -2 (-.f32 1 u))))) (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2)))) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 2))))) (pow.f32 v 3))))))
(log.f32 (+.f32 1 (*.f32 -2 (-.f32 1 u))))
(+.f32 (log.f32 (+.f32 1 (.f32 -2 (-.f32 1 u)))) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) v))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1/3 (/.f32 (+.f32 (.f32 -24 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 8 (-.f32 1 u)) (.f32 16 (pow.f32 (-.f32 1 u) 3)))) (+.f32 1 (.f32 -2 (-.f32 1 u))))) (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 2) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 2)))) (pow.f32 v 2))) (+.f32 (log.f32 (+.f32 1 (.f32 -2 (-.f32 1 u)))) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) v)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1/3 (/.f32 (+.f32 (.f32 -24 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 8 (-.f32 1 u)) (.f32 16 (pow.f32 (-.f32 1 u) 3)))) (+.f32 1 (.f32 -2 (-.f32 1 u))))) (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 2) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 2)))) (pow.f32 v 2))) (+.f32 (log.f32 (+.f32 1 (.f32 -2 (-.f32 1 u)))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) v))) (.f32 -1/6 (/.f32 (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 3) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 3))) (+.f32 (.f32 -1/4 (/.f32 (+.f32 (.f32 -48 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 -96 (pow.f32 (-.f32 1 u) 4)) (+.f32 (.f32 16 (-.f32 1 u)) (+.f32 (.f32 192 (pow.f32 (-.f32 1 u) 3)) (.f32 -64 (pow.f32 (-.f32 1 u) 2)))))) (+.f32 1 (.f32 -2 (-.f32 1 u))))) (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -24 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 8 (-.f32 1 u)) (.f32 16 (pow.f32 (-.f32 1 u) 3)))) (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2)))) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 2))))) (pow.f32 v 3))))))
(log.f32 -1)
(+.f32 (.f32 -1 (.f32 v (*.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)))) (log.f32 -1))
(+.f32 (.f32 -1 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)))) (+.f32 (log.f32 -1) (.f32 1/2 (.f32 (+.f32 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) v) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 -1 (*.f32 (pow.f32 v 2) (pow.f32 (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1) 2)))) (pow.f32 u 2)))))
(+.f32 (.f32 -1 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)))) (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 3 (/.f32 (.f32 (pow.f32 v 2) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) (pow.f32 (exp.f32 (/.f32 -2 v)) 2))) (+.f32 (.f32 -2 (.f32 (pow.f32 v 3) (pow.f32 (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1) 3))) (.f32 -2 (/.f32 (.f32 v (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3)) (pow.f32 (exp.f32 (/.f32 -2 v)) 3))))) (pow.f32 u 3))) (+.f32 (log.f32 -1) (.f32 1/2 (.f32 (+.f32 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) v) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 -1 (.f32 (pow.f32 v 2) (pow.f32 (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1) 2)))) (pow.f32 u 2))))))
(log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (*.f32 -1 (exp.f32 (/.f32 -2 v)))))))))
(+.f32 (log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))))))) (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) (.f32 u (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))))))))))
(+.f32 (log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))))))) (+.f32 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))))))) u))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (pow.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))))))) 2)))) (.f32 -1 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (*.f32 -1 (exp.f32 (/.f32 -2 v)))))))))))) (pow.f32 u 2)))))
(+.f32 (log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))))))) (+.f32 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))))))) u))) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 2 (/.f32 (.f32 (pow.f32 v 3) (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3) (pow.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))))))) 3)))) (+.f32 (.f32 3 (/.f32 (.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3) (pow.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))))))) 2)))) (.f32 2 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3) (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))))))))))) (pow.f32 u 3))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (pow.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))))))) 2)))) (.f32 -1 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (*.f32 -1 (exp.f32 (/.f32 -2 v)))))))))))) (pow.f32 u 2))))))
(log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))))
(+.f32 (log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)))))) (.f32 -1 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1))))))
(+.f32 (log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)))))) (+.f32 (.f32 -1 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2)))) (.f32 -1 (/.f32 (.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 v (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) 2) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2))))) (pow.f32 u 2)))))
(+.f32 (log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)))))) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (/.f32 (.f32 (pow.f32 v 3) (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (pow.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) 3) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 3)))) (+.f32 (.f32 3 (/.f32 (.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (pow.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) 2) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 3)))) (.f32 2 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 3)))))) (pow.f32 u 3))) (+.f32 (.f32 -1 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2)))) (.f32 -1 (/.f32 (.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 v (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) 2) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2))))) (pow.f32 u 2))))))
(+.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 0)
(+.f32 0 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(+.f32 (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))) (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(+.f32 (+.f32 0 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2)))) (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(+.f32 (.f32 1 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) (.f32 1 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))
(+.f32 (.f32 1 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2)))) (.f32 1 (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))
(+.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1) (.f32 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1))
(+.f32 (.f32 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))) 1) (.f32 (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))) 1)
(*.f32 1 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(*.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1)
(*.f32 (sqrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(*.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2) (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1)
(pow.f32 (sqrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2)
(pow.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 3)
(pow.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2))
(cbrt.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3))
(expm1.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(exp.f32 (log.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(exp.f32 (*.f32 (log.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1))
(log1p.f32 (+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 0))

Outputs
(.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v)
(*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(+.f32 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v) (.f32 -1/2 (.f32 (pow.f32 v 2) (pow.f32 (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2))))
(fma.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) v (.f32 (.f32 -1/2 (*.f32 v v)) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (.f32 (.f32 v v) (*.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) -1/2)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3))) (+.f32 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v) (.f32 -1/2 (.f32 (pow.f32 v 2) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)))))
(fma.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3)) (fma.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) v (.f32 (.f32 -1/2 (.f32 v v)) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))))
(fma.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3)) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (.f32 (.f32 v v) (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) -1/2))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3))) (+.f32 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v) (+.f32 (.f32 -1/2 (.f32 (pow.f32 v 2) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2))) (.f32 -1/4 (.f32 (pow.f32 v 4) (pow.f32 (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 4))))))
(fma.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3)) (fma.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) v (fma.f32 -1/2 (.f32 (.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (.f32 (*.f32 -1/4 (pow.f32 v 4)) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 4)))))
(fma.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3)) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (fma.f32 -1/2 (.f32 (.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 4) (*.f32 -1/4 (pow.f32 v 4))))))
(log.f32 (+.f32 1 (*.f32 -2 (-.f32 1 u))))
(log1p.f32 (*.f32 (-.f32 1 u) -2))
(+.f32 (log.f32 (+.f32 1 (.f32 -2 (-.f32 1 u)))) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) v))))
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(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(pow.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3) 1/3)
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(sqrt.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2))
(fabs.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(cbrt.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3))
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(expm1.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(exp.f32 (log.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(exp.f32 (*.f32 (log.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1))
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(log1p.f32 (+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 0))
(log1p.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))

eval1.2s (8.7%)

Compiler: Compiled 38762 to 30346 computations (21.7% saved)

prune402.0ms (2.9%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1200	11	1211
Fresh	3	14	17
Picked	1	0	1
Done	2	3	5
Total	1206	28	1234

Error

0.0b

Counts

1234 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(fma.f32 (cbrt.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2)) (cbrt.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))) 1)
✓	0.1b	(fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)
	1.1b	(fma.f32 v (log.f32 (+.f32 (exp.f32 (/.f32 -2 v)) u)) 1)
▶	3.5b	(fma.f32 v (log.f32 (*.f32 2 (/.f32 u v))) 1)
	0.2b	(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)
	0.2b	(/.f32 1 (/.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))))
▶	30.7b	(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 1)
	29.6b	(-.f32 (*.f32 2 u) 1)
	27.7b	(+.f32 (fma.f32 (-.f32 1 u) -2 1) (.f32 (/.f32 1/2 v) (.f32 (-.f32 1 u) (+.f32 (*.f32 (-.f32 1 u) -4) 4))))
	30.7b	(+.f32 (fma.f32 v (.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 -2 v))) -1)) (.f32 -1/2 (/.f32 (pow.f32 (+.f32 1 (neg.f32 (exp.f32 (/.f32 -2 v)))) 2) (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 2) (.f32 v (.f32 u u)))))) -1)
	29.7b	(+.f32 1 (-.f32 (fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 (/.f32 u (.f32 v v)) (+.f32 4/3 (/.f32 2/3 v)))) 2))
	29.2b	(+.f32 1 (-.f32 (fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v)))) 2))
	30.7b	(+.f32 1 (-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 2))
	30.0b	(+.f32 1 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 2))
	27.8b	(+.f32 1 (-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 2))
	27.7b	(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v))))
✓	29.6b	(+.f32 1 (*.f32 (-.f32 1 u) -2))
	0.2b	(+.f32 1 (.f32 v (-.f32 (log.f32 (+.f32 (pow.f32 u 3) (pow.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3))) (log.f32 (fma.f32 u u (.f32 (-.f32 1 u) (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))))))
	0.1b	(+.f32 1 (.f32 v (.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
▶	0.1b	(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)))))))
✓	0.1b	(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
	1.5b	(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u)))))
	0.1b	(+.f32 1 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)))
	0.2b	(.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (/.f32 1 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
▶	25.6b	(*.f32 2 u)
▶	1.6b	(exp.f32 (log.f32 (fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)))
	3.7b	1
	30.3b	-1

Compiler

Compiled 1018 to 795 computations (21.9% saved)

localize80.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)))))))
✓	0.0b	(log.f32 (+.f32 u (*.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)))))
✓	0.1b	(pow.f32 (E.f32) (/.f32 -2 v))
✓	0.3b	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v))))))

Compiler

Compiled 80 to 53 computations (33.8% saved)

series34.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
20.0ms	v	@	0	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v))))))
3.0ms	u	@	0	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v))))))
2.0ms	v	@	inf	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v))))))
1.0ms	v	@	-inf	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v))))))
1.0ms	u	@	inf	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v))))))

rewrite106.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1656×	`associate-*l/`
624×	`associate-/r*`
402×	`associate-+l+`
368×	`add-sqr-sqrt`
366×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	363	112
2	4687	112

Stop Event

1×	node limit

Counts

4 → 118

Calls

Call 1

Inputs
(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v))))))
(pow.f32 (E.f32) (/.f32 -2 v))
(log.f32 (+.f32 u (*.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)))))
(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (+.f32 (/.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (-.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v) 1))))))
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simplify227.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1580×	`associate-*r/`
768×	`fma-def`
620×	`associate-r`
540×	`+-commutative`
482×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	551	15780
1	1658	14456
2	6107	14456

Stop Event

1×	node limit

Counts

202 → 354

Calls

Call 1

Inputs
(.f32 v (log.f32 (+.f32 (.f32 (exp.f32 (*.f32 -2 (/.f32 (log.f32 (E.f32)) v))) (-.f32 1 u)) u)))
(.f32 v (log.f32 (+.f32 (.f32 (exp.f32 (*.f32 -2 (/.f32 (log.f32 (E.f32)) v))) (-.f32 1 u)) u)))
(.f32 v (log.f32 (+.f32 (.f32 (exp.f32 (*.f32 -2 (/.f32 (log.f32 (E.f32)) v))) (-.f32 1 u)) u)))
(.f32 v (log.f32 (+.f32 (.f32 (exp.f32 (*.f32 -2 (/.f32 (log.f32 (E.f32)) v))) (-.f32 1 u)) u)))
(.f32 -2 (.f32 (-.f32 1 u) (log.f32 (E.f32))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 2))) (.f32 4 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 2)))) v)) (.f32 -2 (*.f32 (-.f32 1 u) (log.f32 (E.f32)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 2))) (.f32 4 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 2)))) v)) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 24 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 3))) (+.f32 (.f32 -8 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 3))) (.f32 -16 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 (log.f32 (E.f32)) 3))))) (pow.f32 v 2))) (.f32 -2 (.f32 (-.f32 1 u) (log.f32 (E.f32))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 2))) (.f32 4 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 2)))) v)) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 24 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 3))) (+.f32 (.f32 -8 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 3))) (.f32 -16 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 (log.f32 (E.f32)) 3))))) (pow.f32 v 2))) (+.f32 (.f32 -2 (.f32 (-.f32 1 u) (log.f32 (E.f32)))) (.f32 1/24 (/.f32 (+.f32 (.f32 -96 (.f32 (pow.f32 (-.f32 1 u) 4) (pow.f32 (log.f32 (E.f32)) 4))) (+.f32 (.f32 192 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 (log.f32 (E.f32)) 4))) (+.f32 (.f32 -48 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 4))) (+.f32 (.f32 16 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 4))) (.f32 -64 (*.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 4))))))) (pow.f32 v 3))))))
(.f32 -2 (.f32 (-.f32 1 u) (log.f32 (E.f32))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 2))) (.f32 4 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 2)))) v)) (.f32 -2 (*.f32 (-.f32 1 u) (log.f32 (E.f32)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 2))) (.f32 4 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 2)))) v)) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 -24 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 3))) (+.f32 (.f32 8 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 3))) (.f32 16 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 (log.f32 (E.f32)) 3))))) (pow.f32 v 2))) (.f32 -2 (.f32 (-.f32 1 u) (log.f32 (E.f32))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 2))) (.f32 4 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 2)))) v)) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 -24 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 3))) (+.f32 (.f32 8 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 3))) (.f32 16 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 (log.f32 (E.f32)) 3))))) (pow.f32 v 2))) (+.f32 (.f32 -2 (.f32 (-.f32 1 u) (log.f32 (E.f32)))) (.f32 1/24 (/.f32 (+.f32 (.f32 -96 (.f32 (pow.f32 (-.f32 1 u) 4) (pow.f32 (log.f32 (E.f32)) 4))) (+.f32 (.f32 192 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 (log.f32 (E.f32)) 4))) (+.f32 (.f32 -48 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 4))) (+.f32 (.f32 16 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 4))) (.f32 -64 (*.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 4))))))) (pow.f32 v 3))))))
(*.f32 -2 (log.f32 (E.f32)))
(+.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v)))) 1))) (.f32 -2 (log.f32 (E.f32))))
(+.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v)))) 1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (+.f32 (.f32 -1 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v)))) 1) 2) (.f32 v (pow.f32 u 2))) (pow.f32 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v))) 2))) (.f32 -2 (log.f32 (E.f32)))))
(+.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v)))) 1))) (+.f32 (.f32 1/3 (/.f32 (.f32 (pow.f32 (+.f32 (.f32 -1 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v)))) 1) 3) (.f32 v (pow.f32 u 3))) (pow.f32 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v))) 3))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (+.f32 (.f32 -1 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v)))) 1) 2) (.f32 v (pow.f32 u 2))) (pow.f32 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v))) 2))) (.f32 -2 (log.f32 (E.f32))))))
(.f32 v (+.f32 (log.f32 (+.f32 (.f32 -1 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v)))) 1)) (.f32 -1 (log.f32 (/.f32 1 u)))))
(+.f32 (/.f32 (.f32 v (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v)))) (.f32 (+.f32 1 (.f32 -1 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v))))) u)) (.f32 v (+.f32 (log.f32 (+.f32 (.f32 -1 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v)))) 1)) (*.f32 -1 (log.f32 (/.f32 1 u))))))
(+.f32 (/.f32 (.f32 v (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v)))) (.f32 (+.f32 1 (.f32 -1 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v))))) u)) (+.f32 (.f32 v (+.f32 (log.f32 (+.f32 (.f32 -1 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v)))) 1)) (.f32 -1 (log.f32 (/.f32 1 u))))) (.f32 -1/2 (/.f32 (.f32 v (pow.f32 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v))) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (*.f32 -2 (/.f32 (log.f32 (E.f32)) v))))) 2) (pow.f32 u 2))))))
(+.f32 (.f32 1/3 (/.f32 (.f32 v (pow.f32 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v))) 3)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v))))) 3) (pow.f32 u 3)))) (+.f32 (/.f32 (.f32 v (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v)))) (.f32 (+.f32 1 (.f32 -1 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v))))) u)) (+.f32 (.f32 v (+.f32 (log.f32 (+.f32 (.f32 -1 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v)))) 1)) (.f32 -1 (log.f32 (/.f32 1 u))))) (.f32 -1/2 (/.f32 (.f32 v (pow.f32 (exp.f32 (.f32 -2 (/.f32 (log.f32 (E.f32)) v))) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (*.f32 -2 (/.f32 (log.f32 (E.f32)) v))))) 2) (pow.f32 u 2)))))))
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(/.f32 (neg.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (neg.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) 1) (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(/.f32 (.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) 1) (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) 1) 1) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))
(/.f32 (.f32 (neg.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) 1) (neg.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (neg.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) 1) (neg.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (sqrt.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (sqrt.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (cbrt.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)) (cbrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (cbrt.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)) (cbrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (-.f32 1 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) (/.f32 1 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))
(/.f32 (.f32 (-.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) 3)) (/.f32 1 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (+.f32 (+.f32 1 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))
(/.f32 (.f32 (-.f32 1 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (/.f32 1 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (-.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))
(/.f32 (.f32 (+.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) 3)) (/.f32 1 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (+.f32 1 (-.f32 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) 1) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (sqrt.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (sqrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (.f32 (cbrt.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (cbrt.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (cbrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) 1) (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (sqrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (sqrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (.f32 (cbrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (cbrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (cbrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)
(pow.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)
(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)
(pow.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3) 1/3)
(sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))
(log.f32 (*.f32 (E.f32) (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3))
(expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(exp.f32 (log1p.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(exp.f32 (.f32 (log1p.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1))
(log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
(fma.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) v 1)
(fma.f32 (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 2) (cbrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)

Outputs
(.f32 v (log.f32 (+.f32 (.f32 (exp.f32 (*.f32 -2 (/.f32 (log.f32 (E.f32)) v))) (-.f32 1 u)) u)))
(*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)))
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v))
(.f32 v (log.f32 (+.f32 (.f32 (exp.f32 (*.f32 -2 (/.f32 (log.f32 (E.f32)) v))) (-.f32 1 u)) u)))
(*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)))
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v))
(.f32 v (log.f32 (+.f32 (.f32 (exp.f32 (*.f32 -2 (/.f32 (log.f32 (E.f32)) v))) (-.f32 1 u)) u)))
(*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)))
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v))
(.f32 v (log.f32 (+.f32 (.f32 (exp.f32 (*.f32 -2 (/.f32 (log.f32 (E.f32)) v))) (-.f32 1 u)) u)))
(*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)))
(log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v))
(.f32 -2 (.f32 (-.f32 1 u) (log.f32 (E.f32))))
(.f32 (.f32 1 (-.f32 1 u)) -2)
(*.f32 (-.f32 1 u) -2)
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 2))) (.f32 4 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 2)))) v)) (.f32 -2 (*.f32 (-.f32 1 u) (log.f32 (E.f32)))))
(fma.f32 1/2 (/.f32 (fma.f32 -4 (.f32 1 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (.f32 1 (-.f32 1 u)))) v) (.f32 (*.f32 1 (-.f32 1 u)) -2))
(fma.f32 (-.f32 1 u) -2 (/.f32 (.f32 1/2 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4))) v))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 2))) (.f32 4 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 2)))) v)) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 24 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 3))) (+.f32 (.f32 -8 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 3))) (.f32 -16 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 (log.f32 (E.f32)) 3))))) (pow.f32 v 2))) (.f32 -2 (.f32 (-.f32 1 u) (log.f32 (E.f32))))))
(fma.f32 1/2 (/.f32 (fma.f32 -4 (.f32 1 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (.f32 1 (-.f32 1 u)))) v) (fma.f32 1/6 (/.f32 (fma.f32 24 (.f32 1 (pow.f32 (-.f32 1 u) 2)) (fma.f32 -8 (.f32 1 (-.f32 1 u)) (.f32 -16 (.f32 1 (pow.f32 (-.f32 1 u) 3))))) (.f32 v v)) (.f32 (.f32 1 (-.f32 1 u)) -2)))
(fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v) (fma.f32 1/6 (/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) 24 (fma.f32 (-.f32 1 u) -8 (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (.f32 v v)) (.f32 (-.f32 1 u) -2)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 2))) (.f32 4 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 2)))) v)) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 24 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 3))) (+.f32 (.f32 -8 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 3))) (.f32 -16 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 (log.f32 (E.f32)) 3))))) (pow.f32 v 2))) (+.f32 (.f32 -2 (.f32 (-.f32 1 u) (log.f32 (E.f32)))) (.f32 1/24 (/.f32 (+.f32 (.f32 -96 (.f32 (pow.f32 (-.f32 1 u) 4) (pow.f32 (log.f32 (E.f32)) 4))) (+.f32 (.f32 192 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 (log.f32 (E.f32)) 4))) (+.f32 (.f32 -48 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 4))) (+.f32 (.f32 16 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 4))) (.f32 -64 (*.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 4))))))) (pow.f32 v 3))))))
(fma.f32 1/2 (/.f32 (fma.f32 -4 (.f32 1 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (.f32 1 (-.f32 1 u)))) v) (fma.f32 1/6 (/.f32 (fma.f32 24 (.f32 1 (pow.f32 (-.f32 1 u) 2)) (fma.f32 -8 (.f32 1 (-.f32 1 u)) (.f32 -16 (.f32 1 (pow.f32 (-.f32 1 u) 3))))) (.f32 v v)) (fma.f32 -2 (.f32 1 (-.f32 1 u)) (.f32 1/24 (/.f32 (fma.f32 -96 (.f32 1 (pow.f32 (-.f32 1 u) 4)) (fma.f32 192 (.f32 1 (pow.f32 (-.f32 1 u) 3)) (fma.f32 -48 (.f32 1 (pow.f32 (-.f32 1 u) 2)) (fma.f32 16 (.f32 1 (-.f32 1 u)) (.f32 (.f32 -64 (pow.f32 (-.f32 1 u) 2)) 1))))) (pow.f32 v 3))))))
(fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v) (fma.f32 1/6 (/.f32 (fma.f32 (pow.f32 (-.f32 1 u) 2) 24 (fma.f32 (-.f32 1 u) -8 (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (.f32 v v)) (fma.f32 1/24 (/.f32 (fma.f32 -96 (pow.f32 (-.f32 1 u) 4) (fma.f32 (pow.f32 (-.f32 1 u) 3) 192 (fma.f32 (pow.f32 (-.f32 1 u) 2) -48 (fma.f32 (-.f32 1 u) 16 (.f32 (pow.f32 (-.f32 1 u) 2) -64))))) (pow.f32 v 3)) (*.f32 (-.f32 1 u) -2))))
(.f32 -2 (.f32 (-.f32 1 u) (log.f32 (E.f32))))
(.f32 (.f32 1 (-.f32 1 u)) -2)
(*.f32 (-.f32 1 u) -2)
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 2))) (.f32 4 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 2)))) v)) (.f32 -2 (*.f32 (-.f32 1 u) (log.f32 (E.f32)))))
(fma.f32 1/2 (/.f32 (fma.f32 -4 (.f32 1 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (.f32 1 (-.f32 1 u)))) v) (.f32 (*.f32 1 (-.f32 1 u)) -2))
(fma.f32 (-.f32 1 u) -2 (/.f32 (.f32 1/2 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4))) v))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 2))) (.f32 4 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 2)))) v)) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 -24 (.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 (log.f32 (E.f32)) 3))) (+.f32 (.f32 8 (.f32 (-.f32 1 u) (pow.f32 (log.f32 (E.f32)) 3))) (.f32 16 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 (log.f32 (E.f32)) 3))))) (pow.f32 v 2))) (.f32 -2 (.f32 (-.f32 1 u) (log.f32 (E.f32))))))
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(exp.f32 (/.f32 -2 v))
1
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1
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(/.f32 (-.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 4)) (*.f32 (+.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 2)) (-.f32 1 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)))))
(/.f32 (.f32 (-.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) 3)) (/.f32 1 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (+.f32 (+.f32 1 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))
(/.f32 (-.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 2) 3)) (/.f32 (+.f32 1 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 4) (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 2))) (/.f32 1 (-.f32 1 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)))))))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 6)) (-.f32 1 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)))) (+.f32 1 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 2) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 4))))
(/.f32 (.f32 (-.f32 1 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (/.f32 1 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (-.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))
(/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 6)) (/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 3)) (/.f32 1 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 2) (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))))))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 6)) (*.f32 (-.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 3)) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 2) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) -1))))
(/.f32 (.f32 (+.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) 3)) (/.f32 1 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (+.f32 1 (-.f32 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))))
(/.f32 (+.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 3) 3)) (/.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 6) (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 3))) (/.f32 1 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 2) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))))))))
(/.f32 (+.f32 1 (pow.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 3) 3)) (*.f32 (+.f32 1 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 6) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 3))) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 2) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) -1))))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) 1) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 2)) (-.f32 1 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)))))
(/.f32 (+.f32 -1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 2)) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) -1))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (sqrt.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (sqrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 2)) (-.f32 1 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)))))
(/.f32 (+.f32 -1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 2)) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) -1))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (.f32 (cbrt.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (cbrt.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (cbrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 2)) (-.f32 1 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)))))
(/.f32 (+.f32 -1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 2)) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) -1))
(/.f32 (/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) 1) (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 3)) (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 2) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 3)) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 2) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) -1)))
(/.f32 (-.f32 -1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 3)) (-.f32 (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) -1) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 2)))
(/.f32 (/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (sqrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (sqrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 3)) (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 2) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 3)) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 2) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) -1)))
(/.f32 (-.f32 -1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 3)) (-.f32 (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) -1) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 2)))
(/.f32 (/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (.f32 (cbrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (cbrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (cbrt.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 3)) (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))) 2) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u))))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 3)) (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 2) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) -1)))
(/.f32 (-.f32 -1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 3)) (-.f32 (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) -1) (pow.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v)) 2)))
(pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1)
(pow.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1)
(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1)
(pow.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3) 1/3)
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1)
(sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))
(sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1) 2))
(fabs.f32 (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1))
(log.f32 (*.f32 (E.f32) (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1)
(cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1)
(expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1)
(exp.f32 (log1p.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(exp.f32 (log1p.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)))))
(exp.f32 (log1p.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v))))
(exp.f32 (.f32 (log1p.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1))
(exp.f32 (log1p.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)))))
(exp.f32 (log1p.f32 (log.f32 (pow.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u) v))))
(log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1)
(fma.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1)
(fma.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) v 1)
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1)
(fma.f32 (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 2) (cbrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 -2 v)) (-.f32 1 u) u)) 1)

localize7.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize91.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)))
	0.0b	(/.f32 1 (exp.f32 (/.f32 -2 v)))
	0.1b	(-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)
	0.1b	(exp.f32 (/.f32 -2 v))

Compiler

Compiled 63 to 49 computations (22.2% saved)

localize31.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (*.f32 2 (/.f32 u v)))
✓	0.0b	(fma.f32 v (log.f32 (*.f32 2 (/.f32 u v))) 1)

Compiler

Compiled 29 to 15 computations (48.3% saved)

series143.0ms (1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
85.0ms	v	@	0	(log.f32 (*.f32 2 (/.f32 u v)))
14.0ms	u	@	-inf	(fma.f32 v (log.f32 (*.f32 2 (/.f32 u v))) 1)
11.0ms	u	@	0	(fma.f32 v (log.f32 (*.f32 2 (/.f32 u v))) 1)
10.0ms	u	@	inf	(fma.f32 v (log.f32 (*.f32 2 (/.f32 u v))) 1)
9.0ms	v	@	-inf	(log.f32 (*.f32 2 (/.f32 u v)))

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`*-commutative`
868×	`associate-*r/`
788×	`associate-/r*`
720×	`unswap-sqr`
626×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	235	42
2	2805	42

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(fma.f32 v (log.f32 (*.f32 2 (/.f32 u v))) 1)
(log.f32 (*.f32 2 (/.f32 u v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 v (log.f32 (*.f32 u (/.f32 2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 v (log.f32 (*.f32 u (/.f32 2 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 v (log.f32 2)) (+.f32 (*.f32 v (log.f32 (/.f32 u v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (*.f32 v (log.f32 2))) (*.f32 v (log.f32 (/.f32 u v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)) (sqrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)) 2) (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1))) (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1))) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1))) (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)) (sqrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)))) (*.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)) (sqrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)) 2)) (cbrt.f32 (sqrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)) 2)) (cbrt.f32 (sqrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 v v) (pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 2)) 1) (-.f32 (*.f32 v (log.f32 (*.f32 u (/.f32 2 v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (*.f32 u (/.f32 2 v)))) 3)) (+.f32 (*.f32 (*.f32 v v) (pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 2)) (-.f32 1 (*.f32 v (log.f32 (*.f32 u (/.f32 2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 (*.f32 (*.f32 v v) (pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 2)) 1)) (-.f32 (*.f32 v (log.f32 (*.f32 u (/.f32 2 v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (*.f32 u (/.f32 2 v)))) 3))) (+.f32 (*.f32 (*.f32 v v) (pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 2)) (-.f32 1 (*.f32 v (log.f32 (*.f32 u (/.f32 2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (*.f32 v v) (pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 2)) 1) 1) (-.f32 (*.f32 v (log.f32 (*.f32 u (/.f32 2 v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (*.f32 u (/.f32 2 v)))) 3)) 1) (+.f32 (*.f32 (*.f32 v v) (pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 2)) (-.f32 1 (*.f32 v (log.f32 (*.f32 u (/.f32 2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 u (/.f32 2 v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (*.f32 u (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 u v)) (log.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 2) (log.f32 (/.f32 u v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 u) (+.f32 (log.f32 (/.f32 1 v)) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 u v)) 2)) (+.f32 (log.f32 (cbrt.f32 (/.f32 u v))) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (/.f32 u v))) (+.f32 (log.f32 (sqrt.f32 (/.f32 u v))) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (*.f32 u (/.f32 2 v)))) (log.f32 (pow.f32 (cbrt.f32 (*.f32 u (/.f32 2 v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 2 u)) (neg.f32 (log.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (*.f32 u (/.f32 2 v)))) (log.f32 (sqrt.f32 (*.f32 u (/.f32 2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (*.f32 u (/.f32 2 v))) 2)) (log.f32 (cbrt.f32 (*.f32 u (/.f32 2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 2)) (log.f32 (/.f32 u v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (*.f32 u (/.f32 2 v))))) (log.f32 (sqrt.f32 (*.f32 u (/.f32 2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (*.f32 u (/.f32 2 v))) 2))) (log.f32 (cbrt.f32 (*.f32 u (/.f32 2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 2) 0) (log.f32 (/.f32 u v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 2) (log.f32 u)) (log.f32 (/.f32 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 2) (log.f32 (pow.f32 (cbrt.f32 (/.f32 u v)) 2))) (log.f32 (cbrt.f32 (/.f32 u v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 2) (log.f32 (sqrt.f32 (/.f32 u v)))) (log.f32 (sqrt.f32 (/.f32 u v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (sqrt.f32 (*.f32 u (/.f32 2 v))))) (*.f32 1 (log.f32 (sqrt.f32 (*.f32 u (/.f32 2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (*.f32 u (/.f32 2 v))) 2))) (*.f32 1 (log.f32 (cbrt.f32 (*.f32 u (/.f32 2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 u (/.f32 2 v)))) 1) (*.f32 (log.f32 (sqrt.f32 (*.f32 u (/.f32 2 v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (*.f32 u (/.f32 2 v))) 2)) 1) (*.f32 (log.f32 (cbrt.f32 (*.f32 u (/.f32 2 v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (-.f32 (log.f32 (/.f32 v u)) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 u) (-.f32 (log.f32 v) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 u)) (-.f32 (log.f32 (neg.f32 v)) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (*.f32 2 u)) (log.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 u (/.f32 2 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log.f32 2) 0) (log.f32 (/.f32 v u)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log.f32 2) (log.f32 u)) (log.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (*.f32 2 u))) (log.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (*.f32 u (/.f32 2 v)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log.f32 2) (log.f32 (neg.f32 u))) (log.f32 (neg.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (log.f32 (*.f32 2 u)) 0) (log.f32 v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (log.f32 (*.f32 2 u)) (log.f32 (sqrt.f32 v))) (log.f32 (sqrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (log.f32 (*.f32 2 u)) (log.f32 (cbrt.f32 (*.f32 v v)))) (log.f32 (cbrt.f32 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (*.f32 u (/.f32 2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (*.f32 u (/.f32 2 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (*.f32 u (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) (sqrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) 2) (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v))))) (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v))))) (*.f32 (sqrt.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v))))) (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (*.f32 u (/.f32 2 v))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (*.f32 u (/.f32 2 v))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) (sqrt.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))))) (*.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) (sqrt.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (log.f32 2) (log.f32 2)) (*.f32 (log.f32 (/.f32 u v)) (log.f32 (/.f32 u v)))) (-.f32 (log.f32 2) (log.f32 (/.f32 u v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 (/.f32 u v)) 3)) (+.f32 (*.f32 (log.f32 2) (log.f32 2)) (*.f32 (log.f32 (/.f32 u v)) (-.f32 (log.f32 (/.f32 u v)) (log.f32 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 (*.f32 (log.f32 2) (log.f32 2)) (*.f32 (log.f32 (/.f32 u v)) (log.f32 (/.f32 u v))))) (-.f32 (log.f32 2) (log.f32 (/.f32 u v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 (/.f32 u v)) 3))) (+.f32 (*.f32 (log.f32 2) (log.f32 2)) (*.f32 (log.f32 (/.f32 u v)) (-.f32 (log.f32 (/.f32 u v)) (log.f32 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (log.f32 2) (log.f32 2)) (*.f32 (log.f32 (/.f32 u v)) (log.f32 (/.f32 u v)))) 1) (-.f32 (log.f32 2) (log.f32 (/.f32 u v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 (/.f32 u v)) 3)) 1) (+.f32 (*.f32 (log.f32 2) (log.f32 2)) (*.f32 (log.f32 (/.f32 u v)) (-.f32 (log.f32 (/.f32 u v)) (log.f32 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (*.f32 u (/.f32 2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (*.f32 u (/.f32 2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (*.f32 u (/.f32 2 v)) 1))))))

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1250×	`+-commutative`
1178×	`associate-+l-`
954×	`fma-def`
940×	`unswap-sqr`
858×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	4629
1	630	4067
2	2070	4033
3	6744	4033

Stop Event

1×	node limit

Counts

139 → 154

Calls

Call 1

Inputs
1
(+.f32 (.f32 v (+.f32 (.f32 -1 (log.f32 v)) (log.f32 (*.f32 2 u)))) 1)
(+.f32 (.f32 v (+.f32 (.f32 -1 (log.f32 v)) (log.f32 (*.f32 2 u)))) 1)
(+.f32 (.f32 v (+.f32 (.f32 -1 (log.f32 v)) (log.f32 (*.f32 2 u)))) 1)
(.f32 (+.f32 (log.f32 (.f32 2 u)) (log.f32 (/.f32 1 v))) v)
(+.f32 1 (.f32 (+.f32 (log.f32 (.f32 2 u)) (log.f32 (/.f32 1 v))) v))
(+.f32 1 (.f32 (+.f32 (log.f32 (.f32 2 u)) (log.f32 (/.f32 1 v))) v))
(+.f32 1 (.f32 (+.f32 (log.f32 (.f32 2 u)) (log.f32 (/.f32 1 v))) v))
(.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (.f32 -2 u))))
(+.f32 1 (.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (.f32 -2 u)))))
(+.f32 1 (.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (.f32 -2 u)))))
(+.f32 1 (.f32 v (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (.f32 -2 u)))))
(+.f32 1 (*.f32 v (+.f32 (log.f32 u) (log.f32 (/.f32 2 v)))))
(+.f32 1 (*.f32 v (+.f32 (log.f32 u) (log.f32 (/.f32 2 v)))))
(+.f32 1 (*.f32 v (+.f32 (log.f32 u) (log.f32 (/.f32 2 v)))))
(+.f32 1 (*.f32 v (+.f32 (log.f32 u) (log.f32 (/.f32 2 v)))))
(+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (/.f32 2 v)))))
(+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (/.f32 2 v)))))
(+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (/.f32 2 v)))))
(+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (/.f32 2 v)))))
(+.f32 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (/.f32 -2 v)))) 1)
(+.f32 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (/.f32 -2 v)))) 1)
(+.f32 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (/.f32 -2 v)))) 1)
(+.f32 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (/.f32 -2 v)))) 1)
(+.f32 (log.f32 u) (log.f32 (/.f32 2 v)))
(+.f32 (log.f32 u) (log.f32 (/.f32 2 v)))
(+.f32 (log.f32 u) (log.f32 (/.f32 2 v)))
(+.f32 (log.f32 u) (log.f32 (/.f32 2 v)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (/.f32 2 v)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (/.f32 2 v)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (/.f32 2 v)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (/.f32 2 v)))
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(/.f32 (-.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (.f32 u (/.f32 2 v))) 2)) 1) (-.f32 (.f32 v (log.f32 (*.f32 u (/.f32 2 v)))) 1))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 3)) (+.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (.f32 u (/.f32 2 v))) 2)) (-.f32 1 (.f32 v (log.f32 (*.f32 u (/.f32 2 v)))))))
(/.f32 (.f32 1 (-.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (.f32 u (/.f32 2 v))) 2)) 1)) (-.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 1))
(/.f32 (.f32 1 (+.f32 1 (pow.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 3))) (+.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (.f32 u (/.f32 2 v))) 2)) (-.f32 1 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (.f32 u (/.f32 2 v))) 2)) 1) 1) (-.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 1))
(/.f32 (.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 3)) 1) (+.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (.f32 u (/.f32 2 v))) 2)) (-.f32 1 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))))))
(pow.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1) 1)
(pow.f32 (sqrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)) 2)
(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)) 3)
(pow.f32 (pow.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1) 3) 1/3)
(sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1) 2))
(log.f32 (exp.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1))))
(cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1) 3))
(expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)))
(exp.f32 (log.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)))
(log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)))
(+.f32 (log.f32 (*.f32 u (/.f32 2 v))) 0)
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(+.f32 (log.f32 2) (log.f32 (/.f32 u v)))
(+.f32 (log.f32 u) (+.f32 (log.f32 (/.f32 1 v)) (log.f32 2)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 u v)) 2)) (+.f32 (log.f32 (cbrt.f32 (/.f32 u v))) (log.f32 2)))
(+.f32 (log.f32 (sqrt.f32 (/.f32 u v))) (+.f32 (log.f32 (sqrt.f32 (/.f32 u v))) (log.f32 2)))
(+.f32 (log.f32 (cbrt.f32 (.f32 u (/.f32 2 v)))) (log.f32 (pow.f32 (cbrt.f32 (.f32 u (/.f32 2 v))) 2)))
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(+.f32 (log.f32 (pow.f32 (cbrt.f32 (.f32 u (/.f32 2 v))) 2)) (log.f32 (cbrt.f32 (.f32 u (/.f32 2 v)))))
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(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (.f32 u (/.f32 2 v))))) (log.f32 (sqrt.f32 (.f32 u (/.f32 2 v)))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (.f32 u (/.f32 2 v))) 2))) (log.f32 (cbrt.f32 (.f32 u (/.f32 2 v)))))
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(+.f32 (+.f32 (log.f32 2) (log.f32 (sqrt.f32 (/.f32 u v)))) (log.f32 (sqrt.f32 (/.f32 u v))))
(+.f32 (.f32 1 (log.f32 (sqrt.f32 (.f32 u (/.f32 2 v))))) (.f32 1 (log.f32 (sqrt.f32 (.f32 u (/.f32 2 v))))))
(+.f32 (.f32 1 (log.f32 (pow.f32 (cbrt.f32 (.f32 u (/.f32 2 v))) 2))) (.f32 1 (log.f32 (cbrt.f32 (.f32 u (/.f32 2 v))))))
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(-.f32 0 (-.f32 (log.f32 (/.f32 v u)) (log.f32 2)))
(-.f32 (log.f32 u) (-.f32 (log.f32 v) (log.f32 2)))
(-.f32 (log.f32 (neg.f32 u)) (-.f32 (log.f32 (neg.f32 v)) (log.f32 2)))
(-.f32 (log.f32 (*.f32 2 u)) (log.f32 v))
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(-.f32 (+.f32 (log.f32 2) 0) (log.f32 (/.f32 v u)))
(-.f32 (+.f32 (log.f32 2) (log.f32 u)) (log.f32 v))
(-.f32 (+.f32 0 (log.f32 (*.f32 2 u))) (log.f32 v))
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (*.f32 u (/.f32 2 v)))))) 1)
(-.f32 (+.f32 (log.f32 2) (log.f32 (neg.f32 u))) (log.f32 (neg.f32 v)))
(-.f32 (-.f32 (log.f32 (*.f32 2 u)) 0) (log.f32 v))
(-.f32 (-.f32 (log.f32 (*.f32 2 u)) (log.f32 (sqrt.f32 v))) (log.f32 (sqrt.f32 v)))
(-.f32 (-.f32 (log.f32 (.f32 2 u)) (log.f32 (cbrt.f32 (.f32 v v)))) (log.f32 (cbrt.f32 v)))
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(.f32 (cbrt.f32 (log.f32 (.f32 u (/.f32 2 v)))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) 2))
(.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 u (/.f32 2 v)))) 2) (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))))
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(/.f32 (-.f32 (.f32 (log.f32 2) (log.f32 2)) (.f32 (log.f32 (/.f32 u v)) (log.f32 (/.f32 u v)))) (-.f32 (log.f32 2) (log.f32 (/.f32 u v))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 (/.f32 u v)) 3)) (+.f32 (.f32 (log.f32 2) (log.f32 2)) (.f32 (log.f32 (/.f32 u v)) (-.f32 (log.f32 (/.f32 u v)) (log.f32 2)))))
(/.f32 (.f32 1 (-.f32 (.f32 (log.f32 2) (log.f32 2)) (*.f32 (log.f32 (/.f32 u v)) (log.f32 (/.f32 u v))))) (-.f32 (log.f32 2) (log.f32 (/.f32 u v))))
(/.f32 (.f32 1 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 (/.f32 u v)) 3))) (+.f32 (.f32 (log.f32 2) (log.f32 2)) (*.f32 (log.f32 (/.f32 u v)) (-.f32 (log.f32 (/.f32 u v)) (log.f32 2)))))
(/.f32 (.f32 (-.f32 (.f32 (log.f32 2) (log.f32 2)) (*.f32 (log.f32 (/.f32 u v)) (log.f32 (/.f32 u v)))) 1) (-.f32 (log.f32 2) (log.f32 (/.f32 u v))))
(/.f32 (.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 (/.f32 u v)) 3)) 1) (+.f32 (.f32 (log.f32 2) (log.f32 2)) (*.f32 (log.f32 (/.f32 u v)) (-.f32 (log.f32 (/.f32 u v)) (log.f32 2)))))
(pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 1)
(pow.f32 (sqrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) 2)
(pow.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) 3)
(pow.f32 (pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 2))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 3))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 u (/.f32 2 v)))))
(exp.f32 (log.f32 (log.f32 (*.f32 u (/.f32 2 v)))))
(log1p.f32 (-.f32 (*.f32 u (/.f32 2 v)) 1))

Outputs
1
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(fma.f32 v (+.f32 (log.f32 2) (log.f32 (/.f32 u v))) 1)
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(fma.f32 v (log.f32 (*.f32 (/.f32 u v) 2)) 1)
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(fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)
(fma.f32 v (log.f32 (*.f32 (/.f32 u v) 2)) 1)
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(fma.f32 v (+.f32 (log.f32 2) (log.f32 (/.f32 u v))) 1)
(fma.f32 v (log.f32 (*.f32 u (/.f32 2 v))) 1)
(fma.f32 v (log.f32 (*.f32 (/.f32 u v) 2)) 1)
(.f32 (+.f32 (log.f32 (.f32 2 u)) (log.f32 (/.f32 1 v))) v)
(*.f32 v (+.f32 (log.f32 2) (log.f32 (/.f32 u v))))
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(fma.f32 v (log.f32 (*.f32 (/.f32 u v) 2)) 1)
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(log.f32 (*.f32 (/.f32 u v) 2))
(/.f32 (.f32 1 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 (/.f32 u v)) 3))) (+.f32 (.f32 (log.f32 2) (log.f32 2)) (*.f32 (log.f32 (/.f32 u v)) (-.f32 (log.f32 (/.f32 u v)) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 (/.f32 u v)) 3)) (fma.f32 (log.f32 2) (log.f32 2) (*.f32 (log.f32 (/.f32 u v)) (-.f32 (log.f32 (/.f32 u v)) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 (/.f32 u v)) 3)) (fma.f32 (log.f32 (/.f32 u v)) (-.f32 (log.f32 (/.f32 u v)) (log.f32 2)) (*.f32 (log.f32 2) (log.f32 2))))
(/.f32 (.f32 (-.f32 (.f32 (log.f32 2) (log.f32 2)) (*.f32 (log.f32 (/.f32 u v)) (log.f32 (/.f32 u v)))) 1) (-.f32 (log.f32 2) (log.f32 (/.f32 u v))))
(log.f32 (/.f32 (*.f32 2 u) v))
(log.f32 (*.f32 u (/.f32 2 v)))
(log.f32 (*.f32 (/.f32 u v) 2))
(/.f32 (.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 (/.f32 u v)) 3)) 1) (+.f32 (.f32 (log.f32 2) (log.f32 2)) (*.f32 (log.f32 (/.f32 u v)) (-.f32 (log.f32 (/.f32 u v)) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 (/.f32 u v)) 3)) (fma.f32 (log.f32 2) (log.f32 2) (*.f32 (log.f32 (/.f32 u v)) (-.f32 (log.f32 (/.f32 u v)) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 (/.f32 u v)) 3)) (fma.f32 (log.f32 (/.f32 u v)) (-.f32 (log.f32 (/.f32 u v)) (log.f32 2)) (*.f32 (log.f32 2) (log.f32 2))))
(pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 1)
(log.f32 (/.f32 (*.f32 2 u) v))
(log.f32 (*.f32 u (/.f32 2 v)))
(log.f32 (*.f32 (/.f32 u v) 2))
(pow.f32 (sqrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) 2)
(log.f32 (/.f32 (*.f32 2 u) v))
(log.f32 (*.f32 u (/.f32 2 v)))
(log.f32 (*.f32 (/.f32 u v) 2))
(pow.f32 (cbrt.f32 (log.f32 (*.f32 u (/.f32 2 v)))) 3)
(log.f32 (/.f32 (*.f32 2 u) v))
(log.f32 (*.f32 u (/.f32 2 v)))
(log.f32 (*.f32 (/.f32 u v) 2))
(pow.f32 (pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 3) 1/3)
(log.f32 (/.f32 (*.f32 2 u) v))
(log.f32 (*.f32 u (/.f32 2 v)))
(log.f32 (*.f32 (/.f32 u v) 2))
(sqrt.f32 (pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 2))
(log.f32 (/.f32 (*.f32 2 u) v))
(log.f32 (*.f32 u (/.f32 2 v)))
(log.f32 (*.f32 (/.f32 u v) 2))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 u (/.f32 2 v))) 3))
(log.f32 (/.f32 (*.f32 2 u) v))
(log.f32 (*.f32 u (/.f32 2 v)))
(log.f32 (*.f32 (/.f32 u v) 2))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 u (/.f32 2 v)))))
(log.f32 (/.f32 (*.f32 2 u) v))
(log.f32 (*.f32 u (/.f32 2 v)))
(log.f32 (*.f32 (/.f32 u v) 2))
(exp.f32 (log.f32 (log.f32 (*.f32 u (/.f32 2 v)))))
(log.f32 (/.f32 (*.f32 2 u) v))
(log.f32 (*.f32 u (/.f32 2 v)))
(log.f32 (*.f32 (/.f32 u v) 2))
(log1p.f32 (-.f32 (*.f32 u (/.f32 2 v)) 1))
(log1p.f32 (fma.f32 u (/.f32 2 v) -1))

localize165.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))
	0.1b	(fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)
	0.1b	(exp.f32 (/.f32 -2 v))
✓	23.6b	(log.f32 (fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1))

Compiler

Compiled 90 to 65 computations (27.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u	@	inf	(log.f32 (fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1))
0.0ms	u	@	-inf	(log.f32 (fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1))
0.0ms	v	@	-inf	(log.f32 (fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1))
0.0ms	v	@	inf	(log.f32 (fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1))
0.0ms	v	@	0	(log.f32 (fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1))

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`associate-*r/`
1216×	`associate-*l/`
456×	`associate-/r*`
334×	`add-sqr-sqrt`
324×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	327	41
2	4075	41

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(log.f32 (fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2))) (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2) (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 0))))))

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1816×	`associate-*r/`
1408×	`associate-*l/`
706×	`+-commutative`
628×	`times-frac`
572×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	316	6932
1	965	6194
2	4894	6194

Stop Event

1×	node limit

Counts

48 → 98

Calls

Call 1

Inputs
(.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v)
(+.f32 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v) (.f32 -1/2 (.f32 (pow.f32 v 2) (pow.f32 (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3))) (+.f32 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v) (.f32 -1/2 (.f32 (pow.f32 v 2) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3))) (+.f32 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v) (+.f32 (.f32 -1/2 (.f32 (pow.f32 v 2) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2))) (.f32 -1/4 (.f32 (pow.f32 v 4) (pow.f32 (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 4))))))
(log.f32 (+.f32 1 (*.f32 -2 (-.f32 1 u))))
(+.f32 (log.f32 (+.f32 1 (.f32 -2 (-.f32 1 u)))) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) v))))
(+.f32 (log.f32 (+.f32 1 (.f32 -2 (-.f32 1 u)))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) v))) (.f32 1/2 (/.f32 (+.f32 (.f32 1/3 (/.f32 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (+.f32 1 (.f32 -2 (-.f32 1 u))))) (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 2) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 2)))) (pow.f32 v 2)))))
(+.f32 (log.f32 (+.f32 1 (.f32 -2 (-.f32 1 u)))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) v))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 1/3 (/.f32 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (+.f32 1 (.f32 -2 (-.f32 1 u))))) (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 2) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 2)))) (pow.f32 v 2))) (.f32 1/6 (/.f32 (+.f32 (.f32 1/4 (/.f32 (pow.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 3) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 3))) (+.f32 (.f32 1/4 (/.f32 (+.f32 (.f32 -48 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 -96 (pow.f32 (-.f32 1 u) 4)) (+.f32 (.f32 16 (-.f32 1 u)) (+.f32 (.f32 192 (pow.f32 (-.f32 1 u) 3)) (.f32 -64 (pow.f32 (-.f32 1 u) 2)))))) (+.f32 1 (.f32 -2 (-.f32 1 u))))) (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3)))) (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2)))) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 2))))) (pow.f32 v 3))))))
(log.f32 (+.f32 1 (*.f32 -2 (-.f32 1 u))))
(+.f32 (log.f32 (+.f32 1 (.f32 -2 (-.f32 1 u)))) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) v))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1/3 (/.f32 (+.f32 (.f32 -24 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 8 (-.f32 1 u)) (.f32 16 (pow.f32 (-.f32 1 u) 3)))) (+.f32 1 (.f32 -2 (-.f32 1 u))))) (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 2) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 2)))) (pow.f32 v 2))) (+.f32 (log.f32 (+.f32 1 (.f32 -2 (-.f32 1 u)))) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) v)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1/3 (/.f32 (+.f32 (.f32 -24 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 8 (-.f32 1 u)) (.f32 16 (pow.f32 (-.f32 1 u) 3)))) (+.f32 1 (.f32 -2 (-.f32 1 u))))) (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 2) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 2)))) (pow.f32 v 2))) (+.f32 (log.f32 (+.f32 1 (.f32 -2 (-.f32 1 u)))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) v))) (.f32 -1/6 (/.f32 (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 3) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 3))) (+.f32 (.f32 -1/4 (/.f32 (+.f32 (.f32 -48 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 -96 (pow.f32 (-.f32 1 u) 4)) (+.f32 (.f32 16 (-.f32 1 u)) (+.f32 (.f32 192 (pow.f32 (-.f32 1 u) 3)) (.f32 -64 (pow.f32 (-.f32 1 u) 2)))))) (+.f32 1 (.f32 -2 (-.f32 1 u))))) (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -24 (pow.f32 (-.f32 1 u) 2)) (+.f32 (.f32 8 (-.f32 1 u)) (.f32 16 (pow.f32 (-.f32 1 u) 3)))) (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2)))) (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 2))))) (pow.f32 v 3))))))
(log.f32 -1)
(+.f32 (.f32 -1 (.f32 v (*.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)))) (log.f32 -1))
(+.f32 (.f32 -1 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)))) (+.f32 (log.f32 -1) (.f32 1/2 (.f32 (+.f32 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) v) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 -1 (*.f32 (pow.f32 v 2) (pow.f32 (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1) 2)))) (pow.f32 u 2)))))
(+.f32 (.f32 -1 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1)))) (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 3 (/.f32 (.f32 (pow.f32 v 2) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) (pow.f32 (exp.f32 (/.f32 -2 v)) 2))) (+.f32 (.f32 -2 (.f32 (pow.f32 v 3) (pow.f32 (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1) 3))) (.f32 -2 (/.f32 (.f32 v (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3)) (pow.f32 (exp.f32 (/.f32 -2 v)) 3))))) (pow.f32 u 3))) (+.f32 (log.f32 -1) (.f32 1/2 (.f32 (+.f32 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) v) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 -1 (.f32 (pow.f32 v 2) (pow.f32 (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1) 2)))) (pow.f32 u 2))))))
(log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (*.f32 -1 (exp.f32 (/.f32 -2 v)))))))))
(+.f32 (log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))))))) (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) (.f32 u (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))))))))))
(+.f32 (log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))))))) (+.f32 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))))))) u))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (pow.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))))))) 2)))) (.f32 -1 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (*.f32 -1 (exp.f32 (/.f32 -2 v)))))))))))) (pow.f32 u 2)))))
(+.f32 (log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))))))) (+.f32 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))))))) u))) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 2 (/.f32 (.f32 (pow.f32 v 3) (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3) (pow.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))))))) 3)))) (+.f32 (.f32 3 (/.f32 (.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3) (pow.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))))))) 2)))) (.f32 2 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3) (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v))))))))))))) (pow.f32 u 3))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (pow.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))))))) 2)))) (.f32 -1 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 (+.f32 1 (*.f32 -1 (exp.f32 (/.f32 -2 v)))))))))))) (pow.f32 u 2))))))
(log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))))
(+.f32 (log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)))))) (.f32 -1 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1))))))
(+.f32 (log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)))))) (+.f32 (.f32 -1 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2)))) (.f32 -1 (/.f32 (.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 v (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) 2) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2))))) (pow.f32 u 2)))))
(+.f32 (log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)))))) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (/.f32 (.f32 (pow.f32 v 3) (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (pow.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) 3) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 3)))) (+.f32 (.f32 3 (/.f32 (.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (pow.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) 2) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 3)))) (.f32 2 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 3)))))) (pow.f32 u 3))) (+.f32 (.f32 -1 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2)))) (.f32 -1 (/.f32 (.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 v (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) 2) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2))))) (pow.f32 u 2))))))
(+.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 0)
(+.f32 0 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(+.f32 (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2))) (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))) 1)
(*.f32 1 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(*.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1)
(*.f32 (sqrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(*.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2) (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1)
(pow.f32 (sqrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2)
(pow.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 3)
(pow.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2))
(cbrt.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3))
(expm1.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(exp.f32 (log.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(exp.f32 (*.f32 (log.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1))
(log1p.f32 (+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 0))

Outputs
(.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v)
(*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
(+.f32 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v) (.f32 -1/2 (.f32 (pow.f32 v 2) (pow.f32 (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2))))
(fma.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) v (.f32 (.f32 -1/2 (*.f32 v v)) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) (.f32 (*.f32 -1/2 v) v)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3))) (+.f32 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v) (.f32 -1/2 (.f32 (pow.f32 v 2) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)))))
(fma.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3)) (fma.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) v (.f32 (.f32 -1/2 (.f32 v v)) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))))
(fma.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3)) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) (.f32 (.f32 -1/2 v) v))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3))) (+.f32 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v) (+.f32 (.f32 -1/2 (.f32 (pow.f32 v 2) (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2))) (.f32 -1/4 (.f32 (pow.f32 v 4) (pow.f32 (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 4))))))
(fma.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3)) (fma.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) v (fma.f32 -1/2 (.f32 (.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (.f32 (*.f32 -1/4 (pow.f32 v 4)) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 4)))))
(fma.f32 1/3 (.f32 (pow.f32 v 3) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3)) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (fma.f32 -1/2 (.f32 v (.f32 v (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2))) (.f32 (pow.f32 v 4) (*.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 4) -1/4)))))
(log.f32 (+.f32 1 (*.f32 -2 (-.f32 1 u))))
(log1p.f32 (*.f32 (-.f32 1 u) -2))
(+.f32 (log.f32 (+.f32 1 (.f32 -2 (-.f32 1 u)))) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) v))))
(+.f32 (log1p.f32 (.f32 (-.f32 1 u) -2)) (.f32 1/2 (/.f32 (fma.f32 4 (-.f32 1 u) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 v (+.f32 1 (*.f32 (-.f32 1 u) -2))))))
(fma.f32 1/2 (/.f32 (fma.f32 (-.f32 1 u) 4 (.f32 -4 (pow.f32 (-.f32 1 u) 2))) (.f32 v (fma.f32 (-.f32 1 u) -2 1))) (log1p.f32 (*.f32 (-.f32 1 u) -2)))
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(+.f32 (log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)))))) (+.f32 (.f32 -1 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2)))) (.f32 -1 (/.f32 (.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 v (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) 2) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2))))) (pow.f32 u 2)))))
(+.f32 (log1p.f32 (.f32 v (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 (expm1.f32 (/.f32 -2 v)))))) (fma.f32 -1 (.f32 (/.f32 v (+.f32 1 (.f32 v (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 (expm1.f32 (/.f32 -2 v))))))) (/.f32 (exp.f32 (/.f32 -2 v)) (.f32 u (expm1.f32 (/.f32 -2 v))))) (.f32 1/2 (/.f32 (.f32 -1 (+.f32 (.f32 (/.f32 v (+.f32 1 (.f32 v (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 (expm1.f32 (/.f32 -2 v))))))) (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 2) (pow.f32 (expm1.f32 (/.f32 -2 v)) 2))) (.f32 (/.f32 (.f32 v v) (pow.f32 (+.f32 1 (.f32 v (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 (expm1.f32 (/.f32 -2 v)))))) 2)) (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 2) (pow.f32 (expm1.f32 (/.f32 -2 v)) 2))))) (.f32 u u)))))
(+.f32 (-.f32 (log1p.f32 (.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 -2 v))) (log.f32 (/.f32 -1 u))))) (.f32 (/.f32 (exp.f32 (/.f32 -2 v)) (fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 -2 v))) (log.f32 (/.f32 -1 u))) 1)) (/.f32 v (.f32 u (expm1.f32 (/.f32 -2 v)))))) (/.f32 (.f32 -1/2 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 2) (pow.f32 (expm1.f32 (/.f32 -2 v)) 2)) (+.f32 (/.f32 v (fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 -2 v))) (log.f32 (/.f32 -1 u))) 1)) (/.f32 v (/.f32 (pow.f32 (fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 -2 v))) (log.f32 (/.f32 -1 u))) 1) 2) v))))) (.f32 u u)))
(+.f32 (log.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1)))))) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (/.f32 (.f32 (pow.f32 v 3) (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (pow.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) 3) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 3)))) (+.f32 (.f32 3 (/.f32 (.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (pow.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) 2) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 3)))) (.f32 2 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 3)) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 3)))))) (pow.f32 u 3))) (+.f32 (.f32 -1 (/.f32 (.f32 v (exp.f32 (/.f32 -2 v))) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (.f32 u (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1 (/.f32 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (+.f32 1 (.f32 v (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2)))) (.f32 -1 (/.f32 (.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (.f32 (pow.f32 (+.f32 1 (.f32 v (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1))))) 2) (pow.f32 (-.f32 (exp.f32 (/.f32 -2 v)) 1) 2))))) (pow.f32 u 2))))))
(+.f32 (log1p.f32 (.f32 v (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 (expm1.f32 (/.f32 -2 v)))))) (fma.f32 -1/6 (/.f32 (fma.f32 2 (.f32 (/.f32 (pow.f32 v 3) (pow.f32 (+.f32 1 (.f32 v (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 (expm1.f32 (/.f32 -2 v)))))) 3)) (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) (pow.f32 (expm1.f32 (/.f32 -2 v)) 3))) (fma.f32 3 (.f32 (/.f32 (.f32 v v) (pow.f32 (+.f32 1 (.f32 v (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 (expm1.f32 (/.f32 -2 v)))))) 2)) (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) (pow.f32 (expm1.f32 (/.f32 -2 v)) 3))) (/.f32 (.f32 2 (.f32 v (pow.f32 (exp.f32 (/.f32 -2 v)) 3))) (.f32 (+.f32 1 (.f32 v (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 (expm1.f32 (/.f32 -2 v)))))) (pow.f32 (expm1.f32 (/.f32 -2 v)) 3))))) (pow.f32 u 3)) (fma.f32 -1 (.f32 (/.f32 v (+.f32 1 (.f32 v (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 (expm1.f32 (/.f32 -2 v))))))) (/.f32 (exp.f32 (/.f32 -2 v)) (.f32 u (expm1.f32 (/.f32 -2 v))))) (.f32 1/2 (/.f32 (.f32 -1 (+.f32 (.f32 (/.f32 v (+.f32 1 (.f32 v (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 (expm1.f32 (/.f32 -2 v))))))) (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 2) (pow.f32 (expm1.f32 (/.f32 -2 v)) 2))) (.f32 (/.f32 (.f32 v v) (pow.f32 (+.f32 1 (.f32 v (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 (expm1.f32 (/.f32 -2 v)))))) 2)) (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 2) (pow.f32 (expm1.f32 (/.f32 -2 v)) 2))))) (*.f32 u u))))))
(+.f32 (log1p.f32 (.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 -2 v))) (log.f32 (/.f32 -1 u))))) (fma.f32 -1/6 (/.f32 (fma.f32 2 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) (pow.f32 (expm1.f32 (/.f32 -2 v)) 3)) (/.f32 (pow.f32 v 3) (pow.f32 (fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 -2 v))) (log.f32 (/.f32 -1 u))) 1) 3))) (fma.f32 2 (/.f32 v (/.f32 (fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 -2 v))) (log.f32 (/.f32 -1 u))) 1) (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) (pow.f32 (expm1.f32 (/.f32 -2 v)) 3)))) (.f32 (/.f32 v (/.f32 (pow.f32 (fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 -2 v))) (log.f32 (/.f32 -1 u))) 1) 2) v)) (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) (pow.f32 (expm1.f32 (/.f32 -2 v)) 3)) 3)))) (pow.f32 u 3)) (-.f32 (/.f32 (.f32 -1/2 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 2) (pow.f32 (expm1.f32 (/.f32 -2 v)) 2)) (+.f32 (/.f32 v (fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 -2 v))) (log.f32 (/.f32 -1 u))) 1)) (/.f32 v (/.f32 (pow.f32 (fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 -2 v))) (log.f32 (/.f32 -1 u))) 1) 2) v))))) (.f32 u u)) (.f32 (/.f32 (exp.f32 (/.f32 -2 v)) (fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 -2 v))) (log.f32 (/.f32 -1 u))) 1)) (/.f32 v (*.f32 u (expm1.f32 (/.f32 -2 v))))))))
(+.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 0)
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(+.f32 0 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(*.f32 3 (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(+.f32 (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(*.f32 3 (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2))) (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(*.f32 3 (log.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) 1)
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))) 1)
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(*.f32 1 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(*.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1)
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(*.f32 (sqrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(*.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2))
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2) (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1)
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(pow.f32 (sqrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2)
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(pow.f32 (cbrt.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 3)
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(pow.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3) 1/3)
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(sqrt.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2))
(fabs.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(cbrt.f32 (pow.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3))
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(expm1.f32 (log1p.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(exp.f32 (log.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(exp.f32 (*.f32 (log.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1))
(log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(log1p.f32 (+.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 0))
(log1p.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))

eval1.4s (10.4%)

Compiler: Compiled 40735 to 31347 computations (23% saved)

prune328.0ms (2.4%)

Pruning

35 alts after pruning (28 fresh and 7 done)

	Pruned	Kept	Total
New	1149	10	1159
Fresh	2	18	20
Picked	0	1	1
Done	1	6	7
Total	1152	35	1187

Error

0.0b

Counts

1187 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(fma.f32 (cbrt.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2)) (cbrt.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))) 1)
	30.5b	(fma.f32 v (.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 -2 v))) -1)) (fma.f32 -1/2 (/.f32 (.f32 (.f32 v (pow.f32 (fma.f32 -1 (exp.f32 (/.f32 -2 v)) 1) 2)) (.f32 u u)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (+.f32 1 (fma.f32 1/3 (/.f32 v (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) (pow.f32 (fma.f32 -1 (exp.f32 (/.f32 -2 v)) 1) 3)) (pow.f32 u 3))) -2))))
	3.6b	(fma.f32 v (log1p.f32 (-.f32 (*.f32 u (/.f32 2 v)) 1)) 1)
✓	0.1b	(fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)
	1.1b	(fma.f32 v (log.f32 (+.f32 (exp.f32 (/.f32 -2 v)) u)) 1)
✓	3.5b	(fma.f32 v (log.f32 (*.f32 2 (/.f32 u v))) 1)
▶	0.2b	(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)
	0.2b	(/.f32 1 (/.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))))
	29.7b	(-.f32 (fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 (/.f32 u (.f32 v v)) (+.f32 4/3 (/.f32 2/3 v)))) 1)
	29.2b	(-.f32 (fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v)))) 1)
▶	30.7b	(-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 1)
	30.0b	(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 1)
	27.8b	(-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 1)
▶	29.6b	(-.f32 (*.f32 2 u) 1)
	27.7b	(+.f32 (fma.f32 (-.f32 1 u) -2 1) (.f32 (/.f32 1/2 v) (.f32 (-.f32 1 u) (+.f32 (*.f32 (-.f32 1 u) -4) 4))))
	30.7b	(+.f32 (fma.f32 v (.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 -2 v))) -1)) (.f32 -1/2 (/.f32 (pow.f32 (+.f32 1 (neg.f32 (exp.f32 (/.f32 -2 v)))) 2) (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 2) (.f32 v (.f32 u u)))))) -1)
	3.6b	(+.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 1)
	29.2b	(+.f32 1 (-.f32 (fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v)))) 2))
	30.7b	(+.f32 1 (-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 2))
	27.8b	(+.f32 1 (-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 2))
▶	27.7b	(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v))))
✓	29.6b	(+.f32 1 (*.f32 (-.f32 1 u) -2))
	0.2b	(+.f32 1 (.f32 v (-.f32 (log.f32 (+.f32 (pow.f32 u 3) (pow.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3))) (log.f32 (fma.f32 u u (.f32 (-.f32 1 u) (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))))))
	3.6b	(+.f32 1 (*.f32 v (+.f32 (log.f32 u) (log.f32 (/.f32 2 v)))))
▶	0.1b	(+.f32 1 (.f32 v (.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
✓	0.1b	(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)))))))
✓	0.1b	(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
	1.5b	(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u)))))
	0.1b	(+.f32 1 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)))
	0.2b	(.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (/.f32 1 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
	28.6b	(.f32 v (log.f32 (.f32 (/.f32 u v) 2)))
✓	25.6b	(*.f32 2 u)
✓	1.6b	(exp.f32 (log.f32 (fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)))
	3.7b	1
	30.3b	-1

Compiler

Compiled 1228 to 955 computations (22.2% saved)

localize82.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 1 (.f32 v (.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
	0.1b	(exp.f32 (/.f32 -2 v))
✓	0.2b	(log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))
✓	0.3b	(.f32 v (.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))

Compiler

Compiled 92 to 67 computations (27.2% saved)

series39.0ms (0.3%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
19.0ms	v	@	0	(.f32 v (.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
5.0ms	v	@	inf	(.f32 v (.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
2.0ms	u	@	inf	(.f32 v (.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
2.0ms	u	@	-inf	(.f32 v (.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
2.0ms	v	@	-inf	(.f32 v (.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`associate-*r/`
1068×	`associate-*l/`
416×	`associate-/r*`
372×	`add-sqr-sqrt`
358×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	129
1	369	105
2	4520	105

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs

(*.f32 v (*.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))

(log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))

(+.f32 1 (*.f32 v (*.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (+.f32 (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (-.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 1/4)) (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 1/4))) (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (sqrt.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 2) (cbrt.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 2 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (/.f32 1 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (/.f32 1 (+.f32 (pow.f32 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((x fma.f32 (sqrt.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (sqrt.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 2) (cbrt.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 v 2) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))))

simplify150.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-/r*`
828×	`associate-*r/`
590×	`fma-def`
552×	`associate-*l/`
462×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	465	15919
1	1264	14805
2	5239	14377

Stop Event

1×	node limit

Counts

155 → 259

Calls

Call 1

Inputs
(.f32 2 (.f32 v (log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))))
(.f32 2 (.f32 v (log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))))
(.f32 2 (.f32 v (log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))))
(.f32 2 (.f32 v (log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))))
(*.f32 -2 (-.f32 1 u))
(-.f32 (+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 2 (/.f32 (-.f32 1 u) v)) (*.f32 -1 (/.f32 (pow.f32 (-.f32 1 u) 2) v)))) (/.f32 (pow.f32 (-.f32 1 u) 2) v))
(-.f32 (+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 1/3 (/.f32 (+.f32 (.f32 -2 (pow.f32 (-.f32 1 u) 3)) (+.f32 (.f32 3 (-.f32 (.f32 -4/3 (-.f32 1 u)) (.f32 -1 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (-.f32 1 u))))) (.f32 3 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (-.f32 1 u))))) (pow.f32 v 2))) (+.f32 (.f32 -1 (/.f32 (pow.f32 (-.f32 1 u) 2) v)) (*.f32 2 (/.f32 (-.f32 1 u) v))))) (/.f32 (pow.f32 (-.f32 1 u) 2) v))
(-.f32 (+.f32 (.f32 1/12 (/.f32 (+.f32 (.f32 12 (-.f32 (.f32 2/3 (-.f32 1 u)) (+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -4/3 (-.f32 1 u)) (.f32 -1 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (-.f32 1 u)))) (-.f32 1 u))) (pow.f32 (.f32 1/2 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2))) 2)))) (+.f32 (.f32 -6 (pow.f32 (-.f32 1 u) 4)) (+.f32 (.f32 12 (.f32 (-.f32 (.f32 -4/3 (-.f32 1 u)) (.f32 -1 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (-.f32 1 u)))) (-.f32 1 u))) (+.f32 (.f32 -3 (pow.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) 2)) (.f32 12 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (pow.f32 (-.f32 1 u) 2))))))) (pow.f32 v 3))) (+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 1/3 (/.f32 (+.f32 (.f32 -2 (pow.f32 (-.f32 1 u) 3)) (+.f32 (.f32 3 (-.f32 (.f32 -4/3 (-.f32 1 u)) (.f32 -1 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (-.f32 1 u))))) (.f32 3 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (-.f32 1 u))))) (pow.f32 v 2))) (+.f32 (.f32 -1 (/.f32 (pow.f32 (-.f32 1 u) 2) v)) (*.f32 2 (/.f32 (-.f32 1 u) v)))))) (/.f32 (pow.f32 (-.f32 1 u) 2) v))
(*.f32 -2 (-.f32 1 u))
(-.f32 (+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (-.f32 1 u) 2) v)) (*.f32 2 (/.f32 (-.f32 1 u) v)))) (/.f32 (pow.f32 (-.f32 1 u) 2) v))
(-.f32 (+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 -1/3 (/.f32 (+.f32 (.f32 3 (-.f32 (.f32 4/3 (-.f32 1 u)) (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) (-.f32 1 u)))) (+.f32 (.f32 -3 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) (-.f32 1 u))) (.f32 2 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 2))) (+.f32 (.f32 2 (/.f32 (-.f32 1 u) v)) (.f32 -1 (/.f32 (pow.f32 (-.f32 1 u) 2) v))))) (/.f32 (pow.f32 (-.f32 1 u) 2) v))
(-.f32 (+.f32 (.f32 1/12 (/.f32 (+.f32 (.f32 -3 (pow.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) 2)) (+.f32 (.f32 12 (-.f32 (.f32 2/3 (-.f32 1 u)) (+.f32 (pow.f32 (.f32 1/2 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2))) 2) (.f32 (-.f32 (.f32 4/3 (-.f32 1 u)) (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) (-.f32 1 u))) (-.f32 1 u))))) (+.f32 (.f32 -6 (pow.f32 (-.f32 1 u) 4)) (+.f32 (.f32 -12 (.f32 (-.f32 (.f32 4/3 (-.f32 1 u)) (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) (-.f32 1 u))) (-.f32 1 u))) (.f32 12 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) (pow.f32 (-.f32 1 u) 2))))))) (pow.f32 v 3))) (+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 -1/3 (/.f32 (+.f32 (.f32 3 (-.f32 (.f32 4/3 (-.f32 1 u)) (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) (-.f32 1 u)))) (+.f32 (.f32 -3 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) (-.f32 1 u))) (.f32 2 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 2))) (+.f32 (.f32 2 (/.f32 (-.f32 1 u) v)) (.f32 -1 (/.f32 (pow.f32 (-.f32 1 u) 2) v)))))) (/.f32 (pow.f32 (-.f32 1 u) 2) v))
(.f32 2 (.f32 v (log.f32 (sqrt.f32 (exp.f32 (/.f32 -2 v))))))
(+.f32 (/.f32 (.f32 v (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) u)) (exp.f32 (/.f32 -2 v))) (.f32 2 (*.f32 v (log.f32 (sqrt.f32 (exp.f32 (/.f32 -2 v)))))))
(+.f32 (/.f32 (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) (.f32 v u)) (exp.f32 (/.f32 -2 v))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (.f32 v (pow.f32 u 2))) (pow.f32 (exp.f32 (/.f32 -2 v)) 2))) (.f32 2 (*.f32 v (log.f32 (sqrt.f32 (exp.f32 (/.f32 -2 v))))))))
(+.f32 (.f32 1/3 (.f32 v (.f32 (+.f32 (.f32 1/4 (/.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3) (pow.f32 (exp.f32 (/.f32 -2 v)) 3))) (.f32 3/4 (/.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3) (pow.f32 (exp.f32 (/.f32 -2 v)) 3)))) (pow.f32 u 3)))) (+.f32 (/.f32 (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) (.f32 v u)) (exp.f32 (/.f32 -2 v))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (.f32 v (pow.f32 u 2))) (pow.f32 (exp.f32 (/.f32 -2 v)) 2))) (.f32 2 (.f32 v (log.f32 (sqrt.f32 (exp.f32 (/.f32 -2 v)))))))))
(log.f32 (sqrt.f32 (exp.f32 (/.f32 -2 v))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (+.f32 1 (*.f32 -1 (exp.f32 (/.f32 -2 v)))) u) (exp.f32 (/.f32 -2 v)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 -2 v)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) u) (exp.f32 (/.f32 -2 v)))) (+.f32 (.f32 -1/4 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (pow.f32 u 2)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 -2 v))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) u) (exp.f32 (/.f32 -2 v)))) (+.f32 (.f32 -1/4 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 2) (pow.f32 u 2)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 -2 v)))) (.f32 1/6 (.f32 (+.f32 (.f32 1/4 (/.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3) (pow.f32 (exp.f32 (/.f32 -2 v)) 3))) (.f32 3/4 (/.f32 (pow.f32 (+.f32 1 (.f32 -1 (exp.f32 (/.f32 -2 v)))) 3) (pow.f32 (exp.f32 (/.f32 -2 v)) 3)))) (pow.f32 u 3))))))
(log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))
(log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))
(log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))
(log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))
(*.f32 -1 (/.f32 (-.f32 1 u) v))
(+.f32 (.f32 -1 (/.f32 (-.f32 1 u) v)) (.f32 1/2 (/.f32 (-.f32 (+.f32 (.f32 2 (-.f32 1 u)) (.f32 -1 (pow.f32 (-.f32 1 u) 2))) (pow.f32 (*.f32 -1 (-.f32 1 u)) 2)) (pow.f32 v 2))))
(+.f32 (.f32 -1 (/.f32 (-.f32 1 u) v)) (+.f32 (.f32 1/2 (/.f32 (-.f32 (+.f32 (.f32 2 (-.f32 1 u)) (.f32 -1 (pow.f32 (-.f32 1 u) 2))) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (pow.f32 v 2))) (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (-.f32 1 u) 3)) (+.f32 (.f32 3 (-.f32 (.f32 -4/3 (-.f32 1 u)) (.f32 -1 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (-.f32 1 u))))) (.f32 3 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (*.f32 -1 (-.f32 1 u)) 2)) (-.f32 1 u))))) (pow.f32 v 3)))))
(+.f32 (.f32 1/24 (/.f32 (+.f32 (.f32 12 (-.f32 (.f32 2/3 (-.f32 1 u)) (+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -4/3 (-.f32 1 u)) (.f32 -1 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (-.f32 1 u)))) (-.f32 1 u))) (pow.f32 (.f32 1/2 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2))) 2)))) (+.f32 (.f32 -6 (pow.f32 (-.f32 1 u) 4)) (+.f32 (.f32 12 (.f32 (-.f32 (.f32 -4/3 (-.f32 1 u)) (.f32 -1 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (-.f32 1 u)))) (-.f32 1 u))) (+.f32 (.f32 -3 (pow.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) 2)) (.f32 12 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (pow.f32 (-.f32 1 u) 2))))))) (pow.f32 v 4))) (+.f32 (.f32 -1 (/.f32 (-.f32 1 u) v)) (+.f32 (.f32 1/2 (/.f32 (-.f32 (+.f32 (.f32 2 (-.f32 1 u)) (.f32 -1 (pow.f32 (-.f32 1 u) 2))) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (pow.f32 v 2))) (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (-.f32 1 u) 3)) (+.f32 (.f32 3 (-.f32 (.f32 -4/3 (-.f32 1 u)) (.f32 -1 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (-.f32 1 u))))) (.f32 3 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (*.f32 -1 (-.f32 1 u)) 2)) (-.f32 1 u))))) (pow.f32 v 3))))))
(*.f32 -1 (/.f32 (-.f32 1 u) v))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (+.f32 (.f32 2 (-.f32 1 u)) (.f32 -1 (pow.f32 (-.f32 1 u) 2))) (pow.f32 (-.f32 1 u) 2)) (pow.f32 v 2))) (.f32 -1 (/.f32 (-.f32 1 u) v)))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (+.f32 (.f32 2 (-.f32 1 u)) (.f32 -1 (pow.f32 (-.f32 1 u) 2))) (pow.f32 (-.f32 1 u) 2)) (pow.f32 v 2))) (+.f32 (.f32 -1 (/.f32 (-.f32 1 u) v)) (.f32 -1/6 (/.f32 (+.f32 (.f32 3 (-.f32 (.f32 4/3 (-.f32 1 u)) (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) (-.f32 1 u)))) (+.f32 (.f32 -3 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) (-.f32 1 u))) (*.f32 2 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (+.f32 (.f32 2 (-.f32 1 u)) (.f32 -1 (pow.f32 (-.f32 1 u) 2))) (pow.f32 (-.f32 1 u) 2)) (pow.f32 v 2))) (+.f32 (.f32 -1 (/.f32 (-.f32 1 u) v)) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 3 (-.f32 (.f32 4/3 (-.f32 1 u)) (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) (-.f32 1 u)))) (+.f32 (.f32 -3 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) (-.f32 1 u))) (.f32 2 (pow.f32 (-.f32 1 u) 3)))) (pow.f32 v 3))) (.f32 1/24 (/.f32 (+.f32 (.f32 -3 (pow.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) 2)) (+.f32 (.f32 12 (-.f32 (.f32 2/3 (-.f32 1 u)) (+.f32 (pow.f32 (.f32 1/2 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2))) 2) (.f32 (-.f32 (.f32 4/3 (-.f32 1 u)) (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) (-.f32 1 u))) (-.f32 1 u))))) (+.f32 (.f32 -6 (pow.f32 (-.f32 1 u) 4)) (+.f32 (.f32 -12 (.f32 (-.f32 (.f32 4/3 (-.f32 1 u)) (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) (-.f32 1 u))) (-.f32 1 u))) (.f32 12 (.f32 (-.f32 (*.f32 2 (-.f32 1 u)) (pow.f32 (-.f32 1 u) 2)) (pow.f32 (-.f32 1 u) 2))))))) (pow.f32 v 4))))))
1
(+.f32 1 (.f32 2 (.f32 v (log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))))
(+.f32 1 (.f32 2 (.f32 v (log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))))
(+.f32 1 (.f32 2 (.f32 v (log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))))
(+.f32 1 (*.f32 -2 (-.f32 1 u)))
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(/.f32 (.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) 1) (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(/.f32 (.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) 1)) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))
(/.f32 (.f32 1 (neg.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))) (neg.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 1 (neg.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))) (neg.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))) (sqrt.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))) (sqrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (cbrt.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))) (cbrt.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (cbrt.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))) (cbrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) 1) 1) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))
(/.f32 (.f32 (neg.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) 1) (neg.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (neg.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) 1) (neg.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (sqrt.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (sqrt.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (sqrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (cbrt.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)) (cbrt.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (.f32 (cbrt.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)) (cbrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (-.f32 1 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))) (/.f32 1 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))
(/.f32 (.f32 (-.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) 3)) (/.f32 1 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (+.f32 1 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))))
(/.f32 (.f32 (-.f32 1 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (/.f32 1 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (-.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))
(/.f32 (.f32 (+.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) 3)) (/.f32 1 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (+.f32 1 (-.f32 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) 1) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (sqrt.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (sqrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (.f32 (cbrt.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (cbrt.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (cbrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) 1) (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (sqrt.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (sqrt.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (.f32 (cbrt.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (cbrt.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (cbrt.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)
(pow.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)
(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)
(pow.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3) 1/3)
(sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))
(log.f32 (*.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v) (E.f32)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3))
(expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(exp.f32 (log1p.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(exp.f32 (.f32 (log1p.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1))
(log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
(fma.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) v 1)
(fma.f32 (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 2) (cbrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)
(fma.f32 (*.f32 v 2) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)

Outputs
(.f32 2 (.f32 v (log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))))
(.f32 (.f32 2 v) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 2 v))
(.f32 2 (.f32 v (log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))))
(.f32 (.f32 2 v) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 2 v))
(.f32 2 (.f32 v (log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))))
(.f32 (.f32 2 v) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 2 v))
(.f32 2 (.f32 v (log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)))))
(.f32 (.f32 2 v) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 2 v))
(*.f32 -2 (-.f32 1 u))
(*.f32 (-.f32 1 u) -2)
(-.f32 (+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 2 (/.f32 (-.f32 1 u) v)) (*.f32 -1 (/.f32 (pow.f32 (-.f32 1 u) 2) v)))) (/.f32 (pow.f32 (-.f32 1 u) 2) v))
(-.f32 (fma.f32 -2 (-.f32 1 u) (fma.f32 2 (/.f32 (-.f32 1 u) v) (/.f32 (neg.f32 (pow.f32 (-.f32 1 u) 2)) v))) (/.f32 (pow.f32 (-.f32 1 u) 2) v))
(-.f32 (-.f32 (fma.f32 (-.f32 1 u) -2 (*.f32 2 (/.f32 (-.f32 1 u) v))) (/.f32 (pow.f32 (-.f32 1 u) 2) v)) (/.f32 (pow.f32 (-.f32 1 u) 2) v))
(-.f32 (+.f32 (.f32 -2 (-.f32 1 u)) (+.f32 (.f32 1/3 (/.f32 (+.f32 (.f32 -2 (pow.f32 (-.f32 1 u) 3)) (+.f32 (.f32 3 (-.f32 (.f32 -4/3 (-.f32 1 u)) (.f32 -1 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (-.f32 1 u))))) (.f32 3 (.f32 (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (.f32 -1 (-.f32 1 u)) 2)) (-.f32 1 u))))) (pow.f32 v 2))) (+.f32 (.f32 -1 (/.f32 (pow.f32 (-.f32 1 u) 2) v)) (*.f32 2 (/.f32 (-.f32 1 u) v))))) (/.f32 (pow.f32 (-.f32 1 u) 2) v))
(-.f32 (fma.f32 -2 (-.f32 1 u) (fma.f32 1/3 (/.f32 (fma.f32 -2 (pow.f32 (-.f32 1 u) 3) (.f32 3 (+.f32 (-.f32 (.f32 (-.f32 1 u) -4/3) (neg.f32 (.f32 (-.f32 1 u) (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (neg.f32 (-.f32 1 u)) 2))))) (.f32 (-.f32 1 u) (-.f32 (.f32 2 (-.f32 1 u)) (pow.f32 (neg.f32 (-.f32 1 u)) 2)))))) (*.f32 v v)) (fma.f32 2 (/.f32 (-.f32 1 u) v) (/.f32 (neg.f32 (pow.f32 (-.f32 1 u) 2)) v)))) (/.f32 (pow.f32 (-.f32 1 u) 2) v))
(-.f32 (fma.f32 (-.f32 1 u) -2 (fma.f32 1/3 (/.f32 (fma.f32 -2 (pow.f32 (-.f32 1 u) 3) (.f32 3 (+.f32 (.f32 (-.f32 1 u) (-.f32 -4/3 (neg.f32 (.f32 (-.f32 1 u) (-.f32 2 (-.f32 1 u)))))) (.f32 (-.f32 1 u) (.f32 (-.f32 1 u) (-.f32 2 (-.f32 1 u))))))) (.f32 v v)) (-.f32 (*.f32 2 (/.f32 (-.f32 1 u) v)) (/.f32 (pow.f32 (-.f32 1 u) 2) v)))) (/.f32 (pow.f32 (-.f32 1 u) 2) v))
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(/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 4)) (/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (/.f32 1 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 4)) (*.f32 (+.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2)) (-.f32 1 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)))))
(/.f32 (.f32 (-.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) 3)) (/.f32 1 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (+.f32 1 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))))
(/.f32 (-.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) 3)) (/.f32 (+.f32 1 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 4))) (/.f32 1 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 6)) (*.f32 (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2) (+.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 4))) (-.f32 1 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)))))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 6)) (+.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2) (+.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 4)))) (-.f32 1 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))))
(/.f32 (.f32 (-.f32 1 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (/.f32 1 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (-.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)))
(/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 6)) (/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (/.f32 1 (+.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 6)) (+.f32 1 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2) (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))))) (-.f32 1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 3)))
(/.f32 (.f32 (+.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) 3)) (/.f32 1 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (+.f32 1 (-.f32 (.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))))
(/.f32 (+.f32 1 (pow.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3) 3)) (/.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 6) (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (/.f32 1 (+.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))))
(/.f32 (+.f32 1 (pow.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 3) 3)) (*.f32 (+.f32 1 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 6) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 3))) (+.f32 1 (-.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2) (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))))))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) 1) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(/.f32 (+.f32 -1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2)) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (sqrt.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (sqrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(/.f32 (+.f32 -1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2)) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1))
(/.f32 (/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (.f32 (cbrt.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) (cbrt.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (cbrt.f32 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(/.f32 (+.f32 -1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2)) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1))
(/.f32 (/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) 1) (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))
(/.f32 (-.f32 -1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 3)) (-.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2)))
(/.f32 (/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (sqrt.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (sqrt.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))
(/.f32 (-.f32 -1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 3)) (-.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2)))
(/.f32 (/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (.f32 (cbrt.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))) (cbrt.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))) (cbrt.f32 (+.f32 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)))
(/.f32 (-.f32 -1 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 3)) (-.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1) (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2)))
(pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(pow.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(pow.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3) 1/3)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))
(fabs.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(log.f32 (*.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v) (E.f32)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(exp.f32 (log1p.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(exp.f32 (log1p.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))))
(exp.f32 (.f32 (log1p.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1))
(exp.f32 (log1p.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))))
(exp.f32 (log1p.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))))
(log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) v 1)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (sqrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 2) (cbrt.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 (*.f32 v 2) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
(fma.f32 (*.f32 2 v) (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)
(fma.f32 2 (*.f32 v (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)

localize14.0ms (0.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

localize34.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 v u)
✓	0.0b	(.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u))
✓	0.1b	(expm1.f32 (/.f32 2 v))

Compiler

Compiled 34 to 20 computations (41.2% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u))
1.0ms	u	@	0	(.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u))
0.0ms	u	@	inf	(.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u))
0.0ms	v	@	0	(.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u))
0.0ms	u	@	-inf	(.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u))

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`add-sqr-sqrt`
1934×	`*-un-lft-identity`
1796×	`add-cube-cbrt`
1768×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	203	41
2	2438	41

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

Inputs
(expm1.f32 (/.f32 2 v))
(.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u))
(*.f32 v u)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (/.f32 2 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (/.f32 2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (expm1.f32 (/.f32 2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (expm1.f32 (/.f32 2 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (expm1.f32 (/.f32 2 v))) (sqrt.f32 (expm1.f32 (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) 2) (cbrt.f32 (expm1.f32 (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (/.f32 2 v)) (exp.f32 (/.f32 2 v))) 1) (+.f32 (exp.f32 (/.f32 2 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 2 v)) 3) 1) (+.f32 (*.f32 (exp.f32 (/.f32 2 v)) (exp.f32 (/.f32 2 v))) (+.f32 1 (*.f32 (exp.f32 (/.f32 2 v)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (expm1.f32 (/.f32 2 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (expm1.f32 (/.f32 2 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (expm1.f32 (/.f32 2 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (expm1.f32 (/.f32 2 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (expm1.f32 (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (/.f32 2 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (expm1.f32 (/.f32 2 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (expm1.f32 (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (expm1.f32 (/.f32 2 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (expm1.f32 (/.f32 2 v))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 v (*.f32 u (expm1.f32 (/.f32 2 v)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 v (*.f32 u (expm1.f32 (/.f32 2 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 v (*.f32 u (expm1.f32 (/.f32 2 v))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 v (*.f32 u (expm1.f32 (/.f32 2 v))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 v (*.f32 u (expm1.f32 (/.f32 2 v)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 v (*.f32 u (expm1.f32 (/.f32 2 v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u) v) (expm1.f32 (/.f32 2 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 v (*.f32 u (expm1.f32 (/.f32 2 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 v (*.f32 u (expm1.f32 (/.f32 2 v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 v (*.f32 u (expm1.f32 (/.f32 2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 v (*.f32 u (expm1.f32 (/.f32 2 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 v (*.f32 u (expm1.f32 (/.f32 2 v))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 v (*.f32 u (expm1.f32 (/.f32 2 v))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 v u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 v u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 v u)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 v u)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 v u) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 v u) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u) v))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 v u))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 v u) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 v u)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 v u)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 v u)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 v u)))))))

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1354×	`associate-*r/`
992×	`associate-/l*`
968×	`associate-*l/`
926×	`associate-/r*`
576×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	1612
1	338	1598
2	1408	1558
3	4755	1552

Stop Event

1×	node limit

Counts

82 → 77

Calls

Call 1

Inputs
(-.f32 (exp.f32 (/.f32 2 v)) 1)
(-.f32 (exp.f32 (/.f32 2 v)) 1)
(-.f32 (exp.f32 (/.f32 2 v)) 1)
(-.f32 (exp.f32 (/.f32 2 v)) 1)
(/.f32 2 v)
(+.f32 (.f32 2 (/.f32 1 v)) (.f32 2 (/.f32 1 (pow.f32 v 2))))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (*.f32 2 (/.f32 1 (pow.f32 v 2)))))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2/3 (/.f32 1 (pow.f32 v 4))))))
(/.f32 2 v)
(+.f32 (.f32 2 (/.f32 1 v)) (.f32 2 (/.f32 1 (pow.f32 v 2))))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (*.f32 2 (/.f32 1 (pow.f32 v 2)))))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2/3 (/.f32 1 (pow.f32 v 4))))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(*.f32 2 u)
(+.f32 (.f32 2 u) (.f32 2 (/.f32 u v)))
(+.f32 (.f32 2 u) (+.f32 (.f32 2 (/.f32 u v)) (*.f32 4/3 (/.f32 u (pow.f32 v 2)))))
(+.f32 (.f32 2 u) (+.f32 (.f32 2 (/.f32 u v)) (+.f32 (.f32 2/3 (/.f32 u (pow.f32 v 3))) (.f32 4/3 (/.f32 u (pow.f32 v 2))))))
(*.f32 2 u)
(+.f32 (.f32 2 u) (.f32 2 (/.f32 u v)))
(+.f32 (.f32 2 u) (+.f32 (.f32 2 (/.f32 u v)) (*.f32 4/3 (/.f32 u (pow.f32 v 2)))))
(+.f32 (.f32 2 u) (+.f32 (.f32 2 (/.f32 u v)) (+.f32 (.f32 2/3 (/.f32 u (pow.f32 v 3))) (.f32 4/3 (/.f32 u (pow.f32 v 2))))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(+.f32 (exp.f32 (/.f32 2 v)) -1)
(-.f32 (exp.f32 (/.f32 2 v)) 1)
(*.f32 (expm1.f32 (/.f32 2 v)) 1)
(*.f32 1 (expm1.f32 (/.f32 2 v)))
(*.f32 (sqrt.f32 (expm1.f32 (/.f32 2 v))) (sqrt.f32 (expm1.f32 (/.f32 2 v))))
(*.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) 2))
(*.f32 (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) 2) (cbrt.f32 (expm1.f32 (/.f32 2 v))))
(/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 2 v)) (exp.f32 (/.f32 2 v))) 1) (+.f32 (exp.f32 (/.f32 2 v)) 1))
(/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 2 v)) 3) 1) (+.f32 (.f32 (exp.f32 (/.f32 2 v)) (exp.f32 (/.f32 2 v))) (+.f32 1 (.f32 (exp.f32 (/.f32 2 v)) 1))))
(pow.f32 (expm1.f32 (/.f32 2 v)) 1)
(pow.f32 (sqrt.f32 (expm1.f32 (/.f32 2 v))) 2)
(pow.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) 3)
(pow.f32 (pow.f32 (expm1.f32 (/.f32 2 v)) 3) 1/3)
(sqrt.f32 (pow.f32 (expm1.f32 (/.f32 2 v)) 2))
(log.f32 (exp.f32 (expm1.f32 (/.f32 2 v))))
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (/.f32 2 v)))))
(cbrt.f32 (pow.f32 (expm1.f32 (/.f32 2 v)) 3))
(exp.f32 (log.f32 (expm1.f32 (/.f32 2 v))))
(exp.f32 (*.f32 (log.f32 (expm1.f32 (/.f32 2 v))) 1))
(log1p.f32 (expm1.f32 (expm1.f32 (/.f32 2 v))))
(-.f32 (exp.f32 (log1p.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v)))))) 1)
(pow.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v)))) 1)
(pow.f32 (sqrt.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))) 2)
(pow.f32 (cbrt.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))) 3)
(pow.f32 (pow.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v)))) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v)))) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u) v) (expm1.f32 (/.f32 2 v))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v)))))))
(cbrt.f32 (pow.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v)))) 3))
(expm1.f32 (log1p.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))))
(exp.f32 (log.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))))
(exp.f32 (.f32 (log.f32 (.f32 v (*.f32 u (expm1.f32 (/.f32 2 v))))) 1))
(log1p.f32 (expm1.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 v u))) 1)
(pow.f32 (*.f32 v u) 1)
(pow.f32 (sqrt.f32 (*.f32 v u)) 2)
(pow.f32 (cbrt.f32 (*.f32 v u)) 3)
(pow.f32 (pow.f32 (*.f32 v u) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 v u) 2))
(log.f32 (pow.f32 (exp.f32 u) v))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 v u))))
(cbrt.f32 (pow.f32 (*.f32 v u) 3))
(expm1.f32 (log1p.f32 (*.f32 v u)))
(exp.f32 (log.f32 (*.f32 v u)))
(exp.f32 (.f32 (log.f32 (.f32 v u)) 1))
(log1p.f32 (expm1.f32 (*.f32 v u)))

Outputs
(-.f32 (exp.f32 (/.f32 2 v)) 1)
(expm1.f32 (/.f32 2 v))
(-.f32 (exp.f32 (/.f32 2 v)) 1)
(expm1.f32 (/.f32 2 v))
(-.f32 (exp.f32 (/.f32 2 v)) 1)
(expm1.f32 (/.f32 2 v))
(-.f32 (exp.f32 (/.f32 2 v)) 1)
(expm1.f32 (/.f32 2 v))
(/.f32 2 v)
(+.f32 (.f32 2 (/.f32 1 v)) (.f32 2 (/.f32 1 (pow.f32 v 2))))
(+.f32 (/.f32 2 v) (/.f32 2 (*.f32 v v)))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (*.f32 2 (/.f32 1 (pow.f32 v 2)))))
(+.f32 (+.f32 (/.f32 4/3 (pow.f32 v 3)) (/.f32 2 v)) (/.f32 2 (*.f32 v v)))
(+.f32 (/.f32 2 v) (+.f32 (/.f32 2 (*.f32 v v)) (/.f32 4/3 (pow.f32 v 3))))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2/3 (/.f32 1 (pow.f32 v 4))))))
(+.f32 (+.f32 (/.f32 4/3 (pow.f32 v 3)) (/.f32 2 v)) (+.f32 (/.f32 2 (*.f32 v v)) (/.f32 2/3 (pow.f32 v 4))))
(+.f32 (+.f32 (/.f32 2 v) (+.f32 (/.f32 2 (*.f32 v v)) (/.f32 4/3 (pow.f32 v 3)))) (/.f32 2/3 (pow.f32 v 4)))
(+.f32 (/.f32 4/3 (pow.f32 v 3)) (+.f32 (/.f32 2 v) (+.f32 (/.f32 2 (*.f32 v v)) (/.f32 2/3 (pow.f32 v 4)))))
(+.f32 (/.f32 2 v) (+.f32 (/.f32 2 (*.f32 v v)) (+.f32 (/.f32 4/3 (pow.f32 v 3)) (/.f32 2/3 (pow.f32 v 4)))))
(/.f32 2 v)
(+.f32 (.f32 2 (/.f32 1 v)) (.f32 2 (/.f32 1 (pow.f32 v 2))))
(+.f32 (/.f32 2 v) (/.f32 2 (*.f32 v v)))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (*.f32 2 (/.f32 1 (pow.f32 v 2)))))
(+.f32 (+.f32 (/.f32 4/3 (pow.f32 v 3)) (/.f32 2 v)) (/.f32 2 (*.f32 v v)))
(+.f32 (/.f32 2 v) (+.f32 (/.f32 2 (*.f32 v v)) (/.f32 4/3 (pow.f32 v 3))))
(+.f32 (.f32 4/3 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 2 (/.f32 1 v)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 v 2))) (.f32 2/3 (/.f32 1 (pow.f32 v 4))))))
(+.f32 (+.f32 (/.f32 4/3 (pow.f32 v 3)) (/.f32 2 v)) (+.f32 (/.f32 2 (*.f32 v v)) (/.f32 2/3 (pow.f32 v 4))))
(+.f32 (+.f32 (/.f32 2 v) (+.f32 (/.f32 2 (*.f32 v v)) (/.f32 4/3 (pow.f32 v 3)))) (/.f32 2/3 (pow.f32 v 4)))
(+.f32 (/.f32 4/3 (pow.f32 v 3)) (+.f32 (/.f32 2 v) (+.f32 (/.f32 2 (*.f32 v v)) (/.f32 2/3 (pow.f32 v 4)))))
(+.f32 (/.f32 2 v) (+.f32 (/.f32 2 (*.f32 v v)) (+.f32 (/.f32 4/3 (pow.f32 v 3)) (/.f32 2/3 (pow.f32 v 4)))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(*.f32 2 u)
(+.f32 (.f32 2 u) (.f32 2 (/.f32 u v)))
(*.f32 2 (+.f32 u (/.f32 u v)))
(+.f32 (.f32 2 u) (+.f32 (.f32 2 (/.f32 u v)) (*.f32 4/3 (/.f32 u (pow.f32 v 2)))))
(fma.f32 2 u (fma.f32 2 (/.f32 u v) (.f32 4/3 (/.f32 u (.f32 v v)))))
(fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 4/3 (/.f32 u (.f32 v v))))
(fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v))))
(+.f32 (.f32 2 u) (+.f32 (.f32 2 (/.f32 u v)) (+.f32 (.f32 2/3 (/.f32 u (pow.f32 v 3))) (.f32 4/3 (/.f32 u (pow.f32 v 2))))))
(fma.f32 2 u (fma.f32 2 (/.f32 u v) (fma.f32 2/3 (/.f32 u (pow.f32 v 3)) (.f32 4/3 (/.f32 u (.f32 v v))))))
(fma.f32 2 (+.f32 u (/.f32 u v)) (fma.f32 4/3 (/.f32 u (.f32 v v)) (/.f32 (.f32 2/3 u) (pow.f32 v 3))))
(fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 (/.f32 u (.f32 v v)) (+.f32 4/3 (/.f32 2/3 v))))
(*.f32 2 u)
(+.f32 (.f32 2 u) (.f32 2 (/.f32 u v)))
(*.f32 2 (+.f32 u (/.f32 u v)))
(+.f32 (.f32 2 u) (+.f32 (.f32 2 (/.f32 u v)) (*.f32 4/3 (/.f32 u (pow.f32 v 2)))))
(fma.f32 2 u (fma.f32 2 (/.f32 u v) (.f32 4/3 (/.f32 u (.f32 v v)))))
(fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 4/3 (/.f32 u (.f32 v v))))
(fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v))))
(+.f32 (.f32 2 u) (+.f32 (.f32 2 (/.f32 u v)) (+.f32 (.f32 2/3 (/.f32 u (pow.f32 v 3))) (.f32 4/3 (/.f32 u (pow.f32 v 2))))))
(fma.f32 2 u (fma.f32 2 (/.f32 u v) (fma.f32 2/3 (/.f32 u (pow.f32 v 3)) (.f32 4/3 (/.f32 u (.f32 v v))))))
(fma.f32 2 (+.f32 u (/.f32 u v)) (fma.f32 4/3 (/.f32 u (.f32 v v)) (/.f32 (.f32 2/3 u) (pow.f32 v 3))))
(fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 (/.f32 u (.f32 v v)) (+.f32 4/3 (/.f32 2/3 v))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(.f32 v (.f32 (-.f32 (exp.f32 (/.f32 2 v)) 1) u))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(+.f32 (exp.f32 (/.f32 2 v)) -1)
(expm1.f32 (/.f32 2 v))
(-.f32 (exp.f32 (/.f32 2 v)) 1)
(expm1.f32 (/.f32 2 v))
(*.f32 (expm1.f32 (/.f32 2 v)) 1)
(expm1.f32 (/.f32 2 v))
(*.f32 1 (expm1.f32 (/.f32 2 v)))
(expm1.f32 (/.f32 2 v))
(*.f32 (sqrt.f32 (expm1.f32 (/.f32 2 v))) (sqrt.f32 (expm1.f32 (/.f32 2 v))))
(expm1.f32 (/.f32 2 v))
(*.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) 2))
(expm1.f32 (/.f32 2 v))
(*.f32 (pow.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) 2) (cbrt.f32 (expm1.f32 (/.f32 2 v))))
(expm1.f32 (/.f32 2 v))
(/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 2 v)) (exp.f32 (/.f32 2 v))) 1) (+.f32 (exp.f32 (/.f32 2 v)) 1))
(expm1.f32 (/.f32 2 v))
(/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 2 v)) 3) 1) (+.f32 (.f32 (exp.f32 (/.f32 2 v)) (exp.f32 (/.f32 2 v))) (+.f32 1 (.f32 (exp.f32 (/.f32 2 v)) 1))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 2 v)) 3) -1) (+.f32 (exp.f32 (+.f32 (/.f32 2 v) (/.f32 2 v))) (+.f32 (exp.f32 (/.f32 2 v)) 1)))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (/.f32 2 v)) 3)) (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (exp.f32 (*.f32 (/.f32 1 v) 4)))))
(/.f32 (expm1.f32 (*.f32 (/.f32 1 v) 6)) (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (exp.f32 (/.f32 4 v)))))
(/.f32 (expm1.f32 (/.f32 6 v)) (+.f32 (exp.f32 (/.f32 2 v)) (+.f32 1 (exp.f32 (/.f32 4 v)))))
(pow.f32 (expm1.f32 (/.f32 2 v)) 1)
(expm1.f32 (/.f32 2 v))
(pow.f32 (sqrt.f32 (expm1.f32 (/.f32 2 v))) 2)
(expm1.f32 (/.f32 2 v))
(pow.f32 (cbrt.f32 (expm1.f32 (/.f32 2 v))) 3)
(expm1.f32 (/.f32 2 v))
(pow.f32 (pow.f32 (expm1.f32 (/.f32 2 v)) 3) 1/3)
(expm1.f32 (/.f32 2 v))
(sqrt.f32 (pow.f32 (expm1.f32 (/.f32 2 v)) 2))
(expm1.f32 (/.f32 2 v))
(log.f32 (exp.f32 (expm1.f32 (/.f32 2 v))))
(expm1.f32 (/.f32 2 v))
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (/.f32 2 v)))))
(expm1.f32 (/.f32 2 v))
(cbrt.f32 (pow.f32 (expm1.f32 (/.f32 2 v)) 3))
(expm1.f32 (/.f32 2 v))
(exp.f32 (log.f32 (expm1.f32 (/.f32 2 v))))
(expm1.f32 (/.f32 2 v))
(exp.f32 (*.f32 (log.f32 (expm1.f32 (/.f32 2 v))) 1))
(expm1.f32 (/.f32 2 v))
(log1p.f32 (expm1.f32 (expm1.f32 (/.f32 2 v))))
(expm1.f32 (/.f32 2 v))
(-.f32 (exp.f32 (log1p.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v)))))) 1)
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(pow.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v)))) 1)
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(pow.f32 (sqrt.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))) 2)
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(pow.f32 (cbrt.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))) 3)
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(pow.f32 (pow.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v)))) 3) 1/3)
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(sqrt.f32 (pow.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v)))) 2))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u) v) (expm1.f32 (/.f32 2 v))))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v)))))))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(cbrt.f32 (pow.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v)))) 3))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(expm1.f32 (log1p.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(exp.f32 (log.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(exp.f32 (.f32 (log.f32 (.f32 v (*.f32 u (expm1.f32 (/.f32 2 v))))) 1))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(log1p.f32 (expm1.f32 (.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))))
(.f32 v (.f32 u (expm1.f32 (/.f32 2 v))))
(.f32 u (.f32 v (expm1.f32 (/.f32 2 v))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 v u))) 1)
(*.f32 v u)
(pow.f32 (*.f32 v u) 1)
(*.f32 v u)
(pow.f32 (sqrt.f32 (*.f32 v u)) 2)
(*.f32 v u)
(pow.f32 (cbrt.f32 (*.f32 v u)) 3)
(*.f32 v u)
(pow.f32 (pow.f32 (*.f32 v u) 3) 1/3)
(*.f32 v u)
(sqrt.f32 (pow.f32 (*.f32 v u) 2))
(*.f32 v u)
(log.f32 (pow.f32 (exp.f32 u) v))
(*.f32 v u)
(log.f32 (+.f32 1 (expm1.f32 (*.f32 v u))))
(*.f32 v u)
(cbrt.f32 (pow.f32 (*.f32 v u) 3))
(*.f32 v u)
(expm1.f32 (log1p.f32 (*.f32 v u)))
(*.f32 v u)
(exp.f32 (log.f32 (*.f32 v u)))
(*.f32 v u)
(exp.f32 (.f32 (log.f32 (.f32 v u)) 1))
(*.f32 v u)
(log1p.f32 (expm1.f32 (*.f32 v u)))
(*.f32 v u)

localize130.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)))
✓	0.2b	(/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)
✓	0.4b	(pow.f32 (-.f32 1 u) 2)
✓	6.3b	(+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2)))

Compiler

Compiled 128 to 105 computations (18% saved)

series6.0ms (0%)

Counts

4 → 61

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	u	@	-inf	(+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2)))
1.0ms	v	@	0	(/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)
0.0ms	u	@	0	(+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2)))
0.0ms	v	@	inf	(/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)
0.0ms	u	@	inf	(+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2)))

rewrite146.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`associate-/r*`
980×	`associate-/l*`
474×	`associate-+l+`
414×	`add-sqr-sqrt`
394×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	144
1	417	144
2	5344	144

Stop Event

1×	node limit

Counts

4 → 214

Calls

Call 1

Inputs
(+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2)))
(pow.f32 (-.f32 1 u) 2)
(/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)))) (-.f32 1 (.f32 4 (-.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 4 (-.f32 1 u)))) (-.f32 1 (.f32 -4 (pow.f32 (-.f32 1 u) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (-.f32 1 u) 2) (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 4 (pow.f32 (-.f32 1 u) 2))) 16)) (/.f32 16 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 4 (pow.f32 (-.f32 1 u) 2))) (pow.f32 (-.f32 1 u) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 4 (-.f32 1 u)) (exp.f32 (log1p.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (exp.f32 (log1p.f32 (.f32 4 (-.f32 1 u))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u)))) (sqrt.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u)))) (pow.f32 (cbrt.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u)))) 2) (cbrt.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 16) (.f32 16 (pow.f32 (-.f32 1 u) 4))) (/.f32 1 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 4 (pow.f32 (-.f32 1 u) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 64) (.f32 -64 (pow.f32 (pow.f32 (-.f32 1 u) 2) 3))) (/.f32 1 (-.f32 (+.f32 (.f32 16 (pow.f32 (-.f32 1 u) 4)) (.f32 (pow.f32 (-.f32 1 u) 2) 16)) (.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 4 (pow.f32 (-.f32 1 u) 2))) (+.f32 (.f32 4 (-.f32 1 u)) (.f32 4 (pow.f32 (-.f32 1 u) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u)))) (/.f32 1 (sqrt.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u)))) (/.f32 1 (pow.f32 (cbrt.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (cbrt.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u)))) 2) (/.f32 1 (cbrt.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 16) (.f32 16 (pow.f32 (-.f32 1 u) 4))) (+.f32 (.f32 4 (-.f32 1 u)) (.f32 4 (pow.f32 (-.f32 1 u) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 2) 16) (.f32 16 (pow.f32 (-.f32 1 u) 4))) (/.f32 1 (/.f32 1 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 4 (pow.f32 (-.f32 1 u) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 64) (.f32 -64 (pow.f32 (pow.f32 (-.f32 1 u) 2) 3))) (-.f32 (+.f32 (.f32 16 (pow.f32 (-.f32 1 u) 4)) (.f32 (pow.f32 (-.f32 1 u) 2) 16)) (.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 64) (.f32 -64 (pow.f32 (pow.f32 (-.f32 1 u) 2) 3))) (/.f32 1 (/.f32 1 (-.f32 (+.f32 (.f32 16 (pow.f32 (-.f32 1 u) 4)) (.f32 (pow.f32 (-.f32 1 u) 2) 16)) (.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 (.f32 16 (pow.f32 (-.f32 1 u) 4)) (.f32 (pow.f32 (-.f32 1 u) 2) 16)) (.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2)))) (/.f32 (-.f32 (+.f32 (.f32 16 (pow.f32 (-.f32 1 u) 4)) (.f32 (pow.f32 (-.f32 1 u) 2) 16)) (.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2)))) (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 64) (.f32 -64 (pow.f32 (pow.f32 (-.f32 1 u) 2) 3)))) (/.f32 (-.f32 (+.f32 (.f32 16 (pow.f32 (-.f32 1 u) 4)) (.f32 (pow.f32 (-.f32 1 u) 2) 16)) (.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 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simplify208.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

714×	`+-commutative`
674×	`associate-+r+`
618×	`associate-r`
612×	`associate-+l+`
592×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	560	16419
1	1363	14749
2	6303	14749

Stop Event

1×	node limit

Counts

275 → 345

Calls

Call 1

Inputs
(*.f32 4 u)
(+.f32 (.f32 -4 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 -4 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 -4 (pow.f32 u 2)) (.f32 4 u))
(*.f32 -4 (pow.f32 u 2))
(+.f32 (.f32 4 u) (.f32 -4 (pow.f32 u 2)))
(+.f32 (.f32 4 u) (.f32 -4 (pow.f32 u 2)))
(+.f32 (.f32 4 u) (.f32 -4 (pow.f32 u 2)))
(*.f32 -4 (pow.f32 u 2))
(+.f32 (.f32 4 u) (.f32 -4 (pow.f32 u 2)))
(+.f32 (.f32 4 u) (.f32 -4 (pow.f32 u 2)))
(+.f32 (.f32 4 u) (.f32 -4 (pow.f32 u 2)))
1
(+.f32 1 (*.f32 -2 u))
(+.f32 1 (+.f32 (*.f32 -2 u) (pow.f32 u 2)))
(+.f32 1 (+.f32 (*.f32 -2 u) (pow.f32 u 2)))
(pow.f32 u 2)
(+.f32 (*.f32 -2 u) (pow.f32 u 2))
(+.f32 1 (+.f32 (*.f32 -2 u) (pow.f32 u 2)))
(+.f32 1 (+.f32 (*.f32 -2 u) (pow.f32 u 2)))
(pow.f32 u 2)
(+.f32 (*.f32 -2 u) (pow.f32 u 2))
(+.f32 1 (+.f32 (*.f32 -2 u) (pow.f32 u 2)))
(+.f32 1 (+.f32 (*.f32 -2 u) (pow.f32 u 2)))
(*.f32 4 (/.f32 u v))
(+.f32 (.f32 -4 (/.f32 (pow.f32 u 2) v)) (.f32 4 (/.f32 u v)))
(+.f32 (.f32 -4 (/.f32 (pow.f32 u 2) v)) (.f32 4 (/.f32 u v)))
(+.f32 (.f32 -4 (/.f32 (pow.f32 u 2) v)) (.f32 4 (/.f32 u v)))
(*.f32 -4 (/.f32 (pow.f32 u 2) v))
(+.f32 (.f32 4 (/.f32 u v)) (.f32 -4 (/.f32 (pow.f32 u 2) v)))
(+.f32 (.f32 4 (/.f32 u v)) (.f32 -4 (/.f32 (pow.f32 u 2) v)))
(+.f32 (.f32 4 (/.f32 u v)) (.f32 -4 (/.f32 (pow.f32 u 2) v)))
(*.f32 -4 (/.f32 (pow.f32 u 2) v))
(+.f32 (.f32 4 (/.f32 u v)) (.f32 -4 (/.f32 (pow.f32 u 2) v)))
(+.f32 (.f32 4 (/.f32 u v)) (.f32 -4 (/.f32 (pow.f32 u 2) v)))
(+.f32 (.f32 4 (/.f32 u v)) (.f32 -4 (/.f32 (pow.f32 u 2) v)))
(/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)
(/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)
(/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)
(/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)
-2
(-.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) 2)
(-.f32 (+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v))) 2)
(-.f32 (+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v))) 2)
(*.f32 -2 (/.f32 (pow.f32 u 2) v))
(+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v)))
(-.f32 (+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v))) 2)
(-.f32 (+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v))) 2)
(*.f32 -2 (/.f32 (pow.f32 u 2) v))
(+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v)))
(-.f32 (+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v))) 2)
(-.f32 (+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v))) 2)
(.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (*.f32 -4 (pow.f32 (-.f32 1 u) 2))) v))
(*.f32 -2 (-.f32 1 u))
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)))
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)))
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)))
(*.f32 -2 (-.f32 1 u))
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)))
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)))
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)))
(-.f32 (exp.f32 (log1p.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)))) (-.f32 1 (.f32 4 (-.f32 1 u))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (*.f32 4 (-.f32 1 u))))) 1)
(-.f32 (exp.f32 (log1p.f32 (.f32 4 (-.f32 1 u)))) (-.f32 1 (.f32 -4 (pow.f32 (-.f32 1 u) 2))))
(-.f32 (/.f32 (pow.f32 (-.f32 1 u) 2) (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 4 (pow.f32 (-.f32 1 u) 2))) 16)) (/.f32 16 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 4 (pow.f32 (-.f32 1 u) 2))) (pow.f32 (-.f32 1 u) 4))))
(-.f32 (+.f32 (.f32 4 (-.f32 1 u)) (exp.f32 (log1p.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2))))) 1)
(-.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (exp.f32 (log1p.f32 (.f32 4 (-.f32 1 u))))) 1)
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(/.f32 (/.f32 (-.f32 (.f32 4 (pow.f32 (-.f32 1 u) 2)) (.f32 1/4 (pow.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 2))) (+.f32 (sqrt.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2)) (sqrt.f32 (.f32 (-.f32 1 u) -2)))) (-.f32 (sqrt.f32 (.f32 (-.f32 1 u) -2)) (sqrt.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (*.f32 4 (-.f32 1 u))) v) 1/2))))
(/.f32 (/.f32 (+.f32 (.f32 -8 (pow.f32 (-.f32 1 u) 3)) (.f32 1/8 (pow.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 3))) 1) (+.f32 (.f32 4 (pow.f32 (-.f32 1 u) 2)) (.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2) (-.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2) (.f32 (-.f32 1 u) -2)))))
(/.f32 (/.f32 (+.f32 (.f32 -8 (pow.f32 (-.f32 1 u) 3)) (.f32 1/8 (pow.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 3))) (sqrt.f32 (+.f32 (.f32 4 (pow.f32 (-.f32 1 u) 2)) (.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2) (-.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2) (.f32 (-.f32 1 u) -2)))))) (sqrt.f32 (+.f32 (.f32 4 (pow.f32 (-.f32 1 u) 2)) (.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2) (-.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2) (*.f32 (-.f32 1 u) -2))))))
(/.f32 (/.f32 (+.f32 (.f32 -8 (pow.f32 (-.f32 1 u) 3)) (.f32 1/8 (pow.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 3))) (.f32 (cbrt.f32 (+.f32 (.f32 4 (pow.f32 (-.f32 1 u) 2)) (.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2) (-.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2) (.f32 (-.f32 1 u) -2))))) (cbrt.f32 (+.f32 (.f32 4 (pow.f32 (-.f32 1 u) 2)) (.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2) (-.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2) (.f32 (-.f32 1 u) -2))))))) (cbrt.f32 (+.f32 (.f32 4 (pow.f32 (-.f32 1 u) 2)) (.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2) (-.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2) (*.f32 (-.f32 1 u) -2))))))
(pow.f32 (fma.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2 (.f32 (-.f32 1 u) -2)) 1)
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2 (.f32 (-.f32 1 u) -2))) 2)
(pow.f32 (cbrt.f32 (fma.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2 (.f32 (-.f32 1 u) -2))) 3)
(pow.f32 (pow.f32 (fma.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2 (.f32 (-.f32 1 u) -2)) 3) 1/3)
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2 (.f32 (-.f32 1 u) -2)) 2))
(log.f32 (exp.f32 (fma.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2 (.f32 (-.f32 1 u) -2))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2 (.f32 (-.f32 1 u) -2)))))
(cbrt.f32 (pow.f32 (fma.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2 (.f32 (-.f32 1 u) -2)) 3))
(expm1.f32 (log1p.f32 (fma.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2 (.f32 (-.f32 1 u) -2))))
(exp.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2 (.f32 (-.f32 1 u) -2))))
(exp.f32 (.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2 (*.f32 (-.f32 1 u) -2))) 1))
(log1p.f32 (expm1.f32 (fma.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2 (.f32 (-.f32 1 u) -2))))
(fma.f32 1 (.f32 (-.f32 1 u) -2) (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (*.f32 4 (-.f32 1 u))) v) 1/2))
(fma.f32 1 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2) (*.f32 (-.f32 1 u) -2))
(fma.f32 (-.f32 1 u) -2 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2))
(fma.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2 (.f32 (-.f32 1 u) -2))
(fma.f32 -2 (-.f32 1 u) (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2))
(fma.f32 1/2 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) (.f32 (-.f32 1 u) -2))
(fma.f32 (sqrt.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2)) (sqrt.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2)) (*.f32 (-.f32 1 u) -2))
(fma.f32 (sqrt.f32 (.f32 (-.f32 1 u) -2)) (sqrt.f32 (.f32 (-.f32 1 u) -2)) (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2)) 2) (cbrt.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2)) (*.f32 (-.f32 1 u) -2))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (-.f32 1 u) -2)) 2) (cbrt.f32 (.f32 (-.f32 1 u) -2)) (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2))

Outputs
(*.f32 4 u)
(+.f32 (.f32 -4 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 -4 (.f32 u u) (.f32 4 u))
(fma.f32 4 u (.f32 u (.f32 u -4)))
(+.f32 (.f32 -4 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 -4 (.f32 u u) (.f32 4 u))
(fma.f32 4 u (.f32 u (.f32 u -4)))
(+.f32 (.f32 -4 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 -4 (.f32 u u) (.f32 4 u))
(fma.f32 4 u (.f32 u (.f32 u -4)))
(*.f32 -4 (pow.f32 u 2))
(.f32 -4 (.f32 u u))
(.f32 u (.f32 u -4))
(+.f32 (.f32 4 u) (.f32 -4 (pow.f32 u 2)))
(fma.f32 -4 (.f32 u u) (.f32 4 u))
(fma.f32 4 u (.f32 u (.f32 u -4)))
(+.f32 (.f32 4 u) (.f32 -4 (pow.f32 u 2)))
(fma.f32 -4 (.f32 u u) (.f32 4 u))
(fma.f32 4 u (.f32 u (.f32 u -4)))
(+.f32 (.f32 4 u) (.f32 -4 (pow.f32 u 2)))
(fma.f32 -4 (.f32 u u) (.f32 4 u))
(fma.f32 4 u (.f32 u (.f32 u -4)))
(*.f32 -4 (pow.f32 u 2))
(.f32 -4 (.f32 u u))
(.f32 u (.f32 u -4))
(+.f32 (.f32 4 u) (.f32 -4 (pow.f32 u 2)))
(fma.f32 -4 (.f32 u u) (.f32 4 u))
(fma.f32 4 u (.f32 u (.f32 u -4)))
(+.f32 (.f32 4 u) (.f32 -4 (pow.f32 u 2)))
(fma.f32 -4 (.f32 u u) (.f32 4 u))
(fma.f32 4 u (.f32 u (.f32 u -4)))
(+.f32 (.f32 4 u) (.f32 -4 (pow.f32 u 2)))
(fma.f32 -4 (.f32 u u) (.f32 4 u))
(fma.f32 4 u (.f32 u (.f32 u -4)))
1
(+.f32 1 (*.f32 -2 u))
(+.f32 1 (*.f32 u -2))
(fma.f32 u -2 1)
(+.f32 1 (+.f32 (*.f32 -2 u) (pow.f32 u 2)))
(+.f32 1 (fma.f32 -2 u (*.f32 u u)))
(+.f32 1 (*.f32 u (+.f32 u -2)))
(+.f32 1 (+.f32 (*.f32 -2 u) (pow.f32 u 2)))
(+.f32 1 (fma.f32 -2 u (*.f32 u u)))
(+.f32 1 (*.f32 u (+.f32 u -2)))
(pow.f32 u 2)
(*.f32 u u)
(+.f32 (*.f32 -2 u) (pow.f32 u 2))
(fma.f32 -2 u (*.f32 u u))
(*.f32 u (+.f32 u -2))
(+.f32 1 (+.f32 (*.f32 -2 u) (pow.f32 u 2)))
(+.f32 1 (fma.f32 -2 u (*.f32 u u)))
(+.f32 1 (*.f32 u (+.f32 u -2)))
(+.f32 1 (+.f32 (*.f32 -2 u) (pow.f32 u 2)))
(+.f32 1 (fma.f32 -2 u (*.f32 u u)))
(+.f32 1 (*.f32 u (+.f32 u -2)))
(pow.f32 u 2)
(*.f32 u u)
(+.f32 (*.f32 -2 u) (pow.f32 u 2))
(fma.f32 -2 u (*.f32 u u))
(*.f32 u (+.f32 u -2))
(+.f32 1 (+.f32 (*.f32 -2 u) (pow.f32 u 2)))
(+.f32 1 (fma.f32 -2 u (*.f32 u u)))
(+.f32 1 (*.f32 u (+.f32 u -2)))
(+.f32 1 (+.f32 (*.f32 -2 u) (pow.f32 u 2)))
(+.f32 1 (fma.f32 -2 u (*.f32 u u)))
(+.f32 1 (*.f32 u (+.f32 u -2)))
(*.f32 4 (/.f32 u v))
(/.f32 4 (/.f32 v u))
(+.f32 (.f32 -4 (/.f32 (pow.f32 u 2) v)) (.f32 4 (/.f32 u v)))
(fma.f32 4 (/.f32 u v) (.f32 -4 (/.f32 (.f32 u u) v)))
(fma.f32 4 (/.f32 u v) (/.f32 -4 (/.f32 v (*.f32 u u))))
(+.f32 (.f32 -4 (/.f32 (pow.f32 u 2) v)) (.f32 4 (/.f32 u v)))
(fma.f32 4 (/.f32 u v) (.f32 -4 (/.f32 (.f32 u u) v)))
(fma.f32 4 (/.f32 u v) (/.f32 -4 (/.f32 v (*.f32 u u))))
(+.f32 (.f32 -4 (/.f32 (pow.f32 u 2) v)) (.f32 4 (/.f32 u v)))
(fma.f32 4 (/.f32 u v) (.f32 -4 (/.f32 (.f32 u u) v)))
(fma.f32 4 (/.f32 u v) (/.f32 -4 (/.f32 v (*.f32 u u))))
(*.f32 -4 (/.f32 (pow.f32 u 2) v))
(.f32 -4 (/.f32 (.f32 u u) v))
(/.f32 -4 (/.f32 v (*.f32 u u)))
(+.f32 (.f32 4 (/.f32 u v)) (.f32 -4 (/.f32 (pow.f32 u 2) v)))
(fma.f32 4 (/.f32 u v) (.f32 -4 (/.f32 (.f32 u u) v)))
(fma.f32 4 (/.f32 u v) (/.f32 -4 (/.f32 v (*.f32 u u))))
(+.f32 (.f32 4 (/.f32 u v)) (.f32 -4 (/.f32 (pow.f32 u 2) v)))
(fma.f32 4 (/.f32 u v) (.f32 -4 (/.f32 (.f32 u u) v)))
(fma.f32 4 (/.f32 u v) (/.f32 -4 (/.f32 v (*.f32 u u))))
(+.f32 (.f32 4 (/.f32 u v)) (.f32 -4 (/.f32 (pow.f32 u 2) v)))
(fma.f32 4 (/.f32 u v) (.f32 -4 (/.f32 (.f32 u u) v)))
(fma.f32 4 (/.f32 u v) (/.f32 -4 (/.f32 v (*.f32 u u))))
(*.f32 -4 (/.f32 (pow.f32 u 2) v))
(.f32 -4 (/.f32 (.f32 u u) v))
(/.f32 -4 (/.f32 v (*.f32 u u)))
(+.f32 (.f32 4 (/.f32 u v)) (.f32 -4 (/.f32 (pow.f32 u 2) v)))
(fma.f32 4 (/.f32 u v) (.f32 -4 (/.f32 (.f32 u u) v)))
(fma.f32 4 (/.f32 u v) (/.f32 -4 (/.f32 v (*.f32 u u))))
(+.f32 (.f32 4 (/.f32 u v)) (.f32 -4 (/.f32 (pow.f32 u 2) v)))
(fma.f32 4 (/.f32 u v) (.f32 -4 (/.f32 (.f32 u u) v)))
(fma.f32 4 (/.f32 u v) (/.f32 -4 (/.f32 v (*.f32 u u))))
(+.f32 (.f32 4 (/.f32 u v)) (.f32 -4 (/.f32 (pow.f32 u 2) v)))
(fma.f32 4 (/.f32 u v) (.f32 -4 (/.f32 (.f32 u u) v)))
(fma.f32 4 (/.f32 u v) (/.f32 -4 (/.f32 v (*.f32 u u))))
(/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)
(/.f32 (fma.f32 4 (-.f32 1 u) (*.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)
(/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)
(/.f32 (fma.f32 4 (-.f32 1 u) (*.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)
(/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)
(/.f32 (fma.f32 4 (-.f32 1 u) (*.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)
(/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)
(/.f32 (fma.f32 4 (-.f32 1 u) (*.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)
-2
(-.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) 2)
(fma.f32 (+.f32 2 (/.f32 2 v)) u -2)
(fma.f32 u (+.f32 2 (/.f32 2 v)) -2)
(-.f32 (+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v))) 2)
(+.f32 (fma.f32 (+.f32 2 (/.f32 2 v)) u (.f32 -2 (/.f32 (.f32 u u) v))) -2)
(fma.f32 u (+.f32 2 (/.f32 2 v)) (fma.f32 -2 (/.f32 u (/.f32 v u)) -2))
(-.f32 (+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v))) 2)
(+.f32 (fma.f32 (+.f32 2 (/.f32 2 v)) u (.f32 -2 (/.f32 (.f32 u u) v))) -2)
(fma.f32 u (+.f32 2 (/.f32 2 v)) (fma.f32 -2 (/.f32 u (/.f32 v u)) -2))
(*.f32 -2 (/.f32 (pow.f32 u 2) v))
(.f32 -2 (/.f32 (.f32 u u) v))
(/.f32 -2 (/.f32 v (*.f32 u u)))
(+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v)))
(fma.f32 (+.f32 2 (/.f32 2 v)) u (.f32 -2 (/.f32 (.f32 u u) v)))
(fma.f32 u (+.f32 2 (/.f32 2 v)) (/.f32 -2 (/.f32 v (*.f32 u u))))
(-.f32 (+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v))) 2)
(+.f32 (fma.f32 (+.f32 2 (/.f32 2 v)) u (.f32 -2 (/.f32 (.f32 u u) v))) -2)
(fma.f32 u (+.f32 2 (/.f32 2 v)) (fma.f32 -2 (/.f32 u (/.f32 v u)) -2))
(-.f32 (+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v))) 2)
(+.f32 (fma.f32 (+.f32 2 (/.f32 2 v)) u (.f32 -2 (/.f32 (.f32 u u) v))) -2)
(fma.f32 u (+.f32 2 (/.f32 2 v)) (fma.f32 -2 (/.f32 u (/.f32 v u)) -2))
(*.f32 -2 (/.f32 (pow.f32 u 2) v))
(.f32 -2 (/.f32 (.f32 u u) v))
(/.f32 -2 (/.f32 v (*.f32 u u)))
(+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v)))
(fma.f32 (+.f32 2 (/.f32 2 v)) u (.f32 -2 (/.f32 (.f32 u u) v)))
(fma.f32 u (+.f32 2 (/.f32 2 v)) (/.f32 -2 (/.f32 v (*.f32 u u))))
(-.f32 (+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v))) 2)
(+.f32 (fma.f32 (+.f32 2 (/.f32 2 v)) u (.f32 -2 (/.f32 (.f32 u u) v))) -2)
(fma.f32 u (+.f32 2 (/.f32 2 v)) (fma.f32 -2 (/.f32 u (/.f32 v u)) -2))
(-.f32 (+.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) (*.f32 -2 (/.f32 (pow.f32 u 2) v))) 2)
(+.f32 (fma.f32 (+.f32 2 (/.f32 2 v)) u (.f32 -2 (/.f32 (.f32 u u) v))) -2)
(fma.f32 u (+.f32 2 (/.f32 2 v)) (fma.f32 -2 (/.f32 u (/.f32 v u)) -2))
(.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (*.f32 -4 (pow.f32 (-.f32 1 u) 2))) v))
(/.f32 (.f32 (fma.f32 4 (-.f32 1 u) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 1/2) v)
(/.f32 1/2 (/.f32 v (fma.f32 4 (-.f32 1 u) (*.f32 -4 (pow.f32 (-.f32 1 u) 2)))))
(*.f32 -2 (-.f32 1 u))
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)))
(fma.f32 -2 (-.f32 1 u) (/.f32 (.f32 (fma.f32 4 (-.f32 1 u) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 1/2) v))
(fma.f32 -2 (-.f32 1 u) (/.f32 1/2 (/.f32 v (fma.f32 4 (-.f32 1 u) (*.f32 -4 (pow.f32 (-.f32 1 u) 2))))))
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)))
(fma.f32 -2 (-.f32 1 u) (/.f32 (.f32 (fma.f32 4 (-.f32 1 u) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 1/2) v))
(fma.f32 -2 (-.f32 1 u) (/.f32 1/2 (/.f32 v (fma.f32 4 (-.f32 1 u) (*.f32 -4 (pow.f32 (-.f32 1 u) 2))))))
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)))
(fma.f32 -2 (-.f32 1 u) (/.f32 (.f32 (fma.f32 4 (-.f32 1 u) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 1/2) v))
(fma.f32 -2 (-.f32 1 u) (/.f32 1/2 (/.f32 v (fma.f32 4 (-.f32 1 u) (*.f32 -4 (pow.f32 (-.f32 1 u) 2))))))
(*.f32 -2 (-.f32 1 u))
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)))
(fma.f32 -2 (-.f32 1 u) (/.f32 (.f32 (fma.f32 4 (-.f32 1 u) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 1/2) v))
(fma.f32 -2 (-.f32 1 u) (/.f32 1/2 (/.f32 v (fma.f32 4 (-.f32 1 u) (*.f32 -4 (pow.f32 (-.f32 1 u) 2))))))
(+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v)))
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(fma.f32 -2 (-.f32 1 u) (/.f32 (.f32 (fma.f32 4 (-.f32 1 u) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 1/2) v))
(fma.f32 -2 (-.f32 1 u) (/.f32 1/2 (/.f32 v (fma.f32 4 (-.f32 1 u) (*.f32 -4 (pow.f32 (-.f32 1 u) 2))))))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2)) 2) (cbrt.f32 (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2)) (*.f32 (-.f32 1 u) -2))
(fma.f32 -2 (-.f32 1 u) (/.f32 (.f32 (fma.f32 4 (-.f32 1 u) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 1/2) v))
(fma.f32 -2 (-.f32 1 u) (/.f32 1/2 (/.f32 v (fma.f32 4 (-.f32 1 u) (*.f32 -4 (pow.f32 (-.f32 1 u) 2))))))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (-.f32 1 u) -2)) 2) (cbrt.f32 (.f32 (-.f32 1 u) -2)) (.f32 (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 4 (-.f32 1 u))) v) 1/2))
(fma.f32 -2 (-.f32 1 u) (/.f32 (.f32 (fma.f32 4 (-.f32 1 u) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 1/2) v))
(fma.f32 -2 (-.f32 1 u) (/.f32 1/2 (/.f32 v (fma.f32 4 (-.f32 1 u) (*.f32 -4 (pow.f32 (-.f32 1 u) 2))))))

localize148.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))
	0.1b	(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
	0.1b	(exp.f32 (/.f32 -2 v))
✓	0.2b	(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)

Compiler

Compiled 79 to 56 computations (29.1% saved)

series38.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	u	@	0	(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)
9.0ms	u	@	inf	(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)
7.0ms	u	@	-inf	(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)
6.0ms	v	@	-inf	(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)
6.0ms	v	@	inf	(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`associate-*r/`
762×	`associate-*l/`
638×	`distribute-rgt-in`
602×	`distribute-lft-in`
340×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	347	37
2	3858	37

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1/6) (*.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1/6) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) 1) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1/6)) (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2)) (cbrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1/6) 3) (pow.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2) 3) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (+.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1) 1) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1 (pow.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) 1) (+.f32 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (*.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))))

simplify303.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1450×	`associate-r`
1076×	`associate-l`
1058×	`*-commutative`
630×	`associate-+r+`
626×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	653	26566
1	2326	26506

Stop Event

1×	node limit

Counts

58 → 104

Calls

Call 1

Inputs
1
(+.f32 (.f32 v (+.f32 (.f32 2/3 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))) (.f32 1/3 (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))) 1)
(+.f32 (.f32 v (+.f32 (.f32 2/3 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))) (.f32 1/3 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))) (+.f32 (.f32 (pow.f32 v 2) (+.f32 (.f32 -2/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)) (+.f32 (.f32 -1/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)) (+.f32 (.f32 1/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)) (.f32 2/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)))))) 1))
(+.f32 (.f32 v (+.f32 (.f32 2/3 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))) (.f32 1/3 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))) (+.f32 (.f32 (pow.f32 v 3) (+.f32 (.f32 -1/3 (+.f32 (.f32 -2/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3)) (.f32 1/27 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3)))) (+.f32 (.f32 -4/27 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3)) (+.f32 (.f32 -2/3 (+.f32 (.f32 -2/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3)) (.f32 1/27 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3)))) (.f32 1/3 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) (+.f32 (.f32 -2/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)) (.f32 1/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2))))))))) (+.f32 (.f32 (pow.f32 v 2) (+.f32 (.f32 -2/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)) (+.f32 (.f32 -1/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)) (+.f32 (.f32 1/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)) (.f32 2/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)))))) 1)))
(.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) (pow.f32 1 1/3))
(+.f32 (.f32 1/6 (.f32 (pow.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 4) 1) 1/9) (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v))) (+.f32 (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) (pow.f32 1 1/3)) (.f32 1/3 (.f32 (pow.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 4) 1) 1/9) (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)))))
(+.f32 (.f32 1/18 (.f32 (pow.f32 (/.f32 1 (+.f32 1 (.f32 -2 (-.f32 1 u)))) 1/9) (/.f32 (.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2)))) (pow.f32 v 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 4) 1) 1/9) (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v))) (+.f32 (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) (pow.f32 1 1/3)) (+.f32 (.f32 1/3 (.f32 (/.f32 (-.f32 (.f32 1/6 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3))))) (.f32 1/12 (.f32 (pow.f32 (/.f32 1 (+.f32 1 (.f32 -2 (-.f32 1 u)))) 1/9) (pow.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 2)))) (pow.f32 v 2)) (pow.f32 1 1/3))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 4) 1) 1/9) (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v))) (.f32 (pow.f32 (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 1) 1/3) (/.f32 (+.f32 (.f32 1/36 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 4)) 1/9) (pow.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) 2))) (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 1 (.f32 -2 (-.f32 1 u)))) 1/3) (-.f32 (.f32 1/6 (+.f32 (.f32 -8 (-.f32 1 u)) (+.f32 (.f32 24 (pow.f32 (-.f32 1 u) 2)) (.f32 -16 (pow.f32 (-.f32 1 u) 3))))) (.f32 1/12 (.f32 (pow.f32 (/.f32 1 (+.f32 1 (.f32 -2 (-.f32 1 u)))) 1/9) (pow.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (*.f32 4 (-.f32 1 u))) 2))))))) (pow.f32 v 2))))))))
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(*.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1)
(.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1/6) (.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1/6) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)))
(*.f32 (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) (sqrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2) (.f32 (cbrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) 1) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1/6)) (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1/6))
(.f32 (.f32 (pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2)) (cbrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(*.f32 (pow.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1/6) 3) (pow.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 1/6) 3))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))) 2) 3) (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(/.f32 (-.f32 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1) (-.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))
(/.f32 (.f32 1 (-.f32 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))
(/.f32 (.f32 1 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (+.f32 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1) 1) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))
(/.f32 (.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) 1) (+.f32 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))
(sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))
(log.f32 (exp.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3))
(expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(exp.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(exp.f32 (*.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1))
(log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)

Outputs
1
(+.f32 (.f32 v (+.f32 (.f32 2/3 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))) (.f32 1/3 (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))) 1)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(+.f32 (.f32 v (+.f32 (.f32 2/3 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))) (.f32 1/3 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))) (+.f32 (.f32 (pow.f32 v 2) (+.f32 (.f32 -2/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)) (+.f32 (.f32 -1/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)) (+.f32 (.f32 1/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)) (.f32 2/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)))))) 1))
(+.f32 (fma.f32 (.f32 v v) (fma.f32 -2/9 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) (fma.f32 -1/9 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) 1/3))) 1) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(+.f32 (.f32 v (.f32 v (fma.f32 -2/9 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) (fma.f32 -1/9 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) (*.f32 1/3 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)))))) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))
(+.f32 (.f32 v (+.f32 (.f32 2/3 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))) (.f32 1/3 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))) (+.f32 (.f32 (pow.f32 v 3) (+.f32 (.f32 -1/3 (+.f32 (.f32 -2/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3)) (.f32 1/27 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3)))) (+.f32 (.f32 -4/27 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3)) (+.f32 (.f32 -2/3 (+.f32 (.f32 -2/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3)) (.f32 1/27 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 3)))) (.f32 1/3 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) (+.f32 (.f32 -2/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)) (.f32 1/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2))))))))) (+.f32 (.f32 (pow.f32 v 2) (+.f32 (.f32 -2/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)) (+.f32 (.f32 -1/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)) (+.f32 (.f32 1/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)) (.f32 2/9 (pow.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 2)))))) 1)))
(+.f32 (fma.f32 (pow.f32 v 3) (fma.f32 -1/3 (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3) -5/27) (fma.f32 -4/27 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3) (fma.f32 -2/3 (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3) -5/27) (.f32 1/3 (.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) -1/9)))))) (fma.f32 (.f32 v v) (fma.f32 -2/9 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) (fma.f32 -1/9 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) 1/3))) 1)) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(+.f32 (fma.f32 (pow.f32 v 3) (+.f32 (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3) 5/81) (fma.f32 -4/27 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3) (+.f32 (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3) 10/81) (.f32 1/3 (.f32 -1/9 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 3)))))) (fma.f32 (.f32 v v) (fma.f32 -2/9 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) (fma.f32 -1/9 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) (.f32 1/3 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)))) 1)) (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))
(.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) (pow.f32 1 1/3))
(+.f32 1 (*.f32 (-.f32 1 u) -2))
(+.f32 (.f32 1/6 (.f32 (pow.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 4) 1) 1/9) (/.f32 (+.f32 (.f32 -4 (pow.f32 (-.f32 1 u) 2)) (.f32 4 (-.f32 1 u))) v))) (+.f32 (.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) (pow.f32 1 1/3)) (.f32 1/3 (.f32 (pow.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -2 (-.f32 1 u))) 4) 1) 1/9) (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)))))
(fma.f32 1/6 (.f32 (.f32 (pow.f32 (pow.f32 (+.f32 1 (.f32 (-.f32 1 u) -2)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 1 (.f32 (-.f32 1 u) -2)) 4) 1/18)) (/.f32 (fma.f32 4 (-.f32 1 u) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)) (+.f32 (+.f32 1 (.f32 (-.f32 1 u) -2)) (.f32 1/3 (.f32 (.f32 (pow.f32 (pow.f32 (+.f32 1 (.f32 (-.f32 1 u) -2)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 1 (.f32 (-.f32 1 u) -2)) 4) 1/18)) (/.f32 (fma.f32 4 (-.f32 1 u) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v)))))
(fma.f32 1/6 (.f32 (.f32 (pow.f32 (pow.f32 (+.f32 1 (.f32 (-.f32 1 u) -2)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 1 (.f32 (-.f32 1 u) -2)) 4) 1/18)) (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v)) (+.f32 (+.f32 1 (.f32 (-.f32 1 u) -2)) (.f32 1/3 (.f32 (.f32 (pow.f32 (pow.f32 (+.f32 1 (.f32 (-.f32 1 u) -2)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 1 (.f32 (-.f32 1 u) -2)) 4) 1/18)) (/.f32 (fma.f32 -4 (pow.f32 (-.f32 1 u) 2) (.f32 (-.f32 1 u) 4)) v)))))
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(/.f32 (+.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) -1) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1))
(/.f32 (+.f32 -1 (.f32 v (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) v))) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (.f32 v (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) v)) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 1 (-.f32 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1)) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))
(/.f32 (+.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) -1) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1))
(/.f32 (+.f32 -1 (.f32 v (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) v))) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1))
(/.f32 (.f32 1 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3))) (+.f32 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (.f32 v (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) v)) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) 1) 1) (-.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))
(/.f32 (+.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) -1) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1))
(/.f32 (+.f32 -1 (.f32 v (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) v))) (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) -1))
(/.f32 (.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) 1) (+.f32 (.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (.f32 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 1))))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2)) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 (+.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 3)) (+.f32 (.f32 v (.f32 (pow.f32 (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 2) v)) (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(sqrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 2))
(log.f32 (exp.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1))))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(cbrt.f32 (pow.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1) 3))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(expm1.f32 (log1p.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(exp.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(exp.f32 (*.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 1))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(log1p.f32 (expm1.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)

eval1.6s (11.3%)

Compiler: Compiled 63478 to 51732 computations (18.5% saved)

prune271.0ms (2%)

Pruning

38 alts after pruning (29 fresh and 9 done)

	Pruned	Kept	Total
New	1032	10	1042
Fresh	4	19	23
Picked	1	0	1
Done	2	9	11
Total	1039	38	1077

Error

0.0b

Counts

1077 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	30.5b	(fma.f32 v (.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 -2 v))) -1)) (fma.f32 -1/2 (/.f32 (.f32 (.f32 v (pow.f32 (fma.f32 -1 (exp.f32 (/.f32 -2 v)) 1) 2)) (.f32 u u)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (+.f32 1 (fma.f32 1/3 (/.f32 v (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) (pow.f32 (fma.f32 -1 (exp.f32 (/.f32 -2 v)) 1) 3)) (pow.f32 u 3))) -2))))
	3.6b	(fma.f32 v (log1p.f32 (-.f32 (*.f32 u (/.f32 2 v)) 1)) 1)
✓	0.1b	(fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)
	1.1b	(fma.f32 v (log.f32 (+.f32 (exp.f32 (/.f32 -2 v)) u)) 1)
✓	3.5b	(fma.f32 v (log.f32 (*.f32 2 (/.f32 u v))) 1)
	0.2b	(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)) 3)
	30.7b	(pow.f32 (cbrt.f32 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 1)) 3)
	0.2b	(pow.f32 (cbrt.f32 (+.f32 1 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v))) 3)
	0.2b	(pow.f32 (cbrt.f32 (log.f32 (exp.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) 3)
	0.2b	(/.f32 1 (/.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))))
	29.7b	(-.f32 (fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 (/.f32 u (.f32 v v)) (+.f32 4/3 (/.f32 2/3 v)))) 1)
	29.2b	(-.f32 (fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v)))) 1)
✓	30.7b	(-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 1)
	30.0b	(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 1)
	27.8b	(-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 1)
✓	29.6b	(-.f32 (*.f32 2 u) 1)
	3.6b	(+.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 1)
	30.0b	(+.f32 1 (/.f32 -2 (/.f32 v (*.f32 u u))))
	29.2b	(+.f32 1 (-.f32 (fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v)))) 2))
	27.8b	(+.f32 1 (-.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) 2))
	30.7b	(+.f32 1 (-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 2))
	27.8b	(+.f32 1 (-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 2))
	27.7b	(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (/.f32 (-.f32 1 u) (/.f32 1 (-.f32 1 u))))) v))))
	27.7b	(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (+.f32 1 (*.f32 u (+.f32 u -2))))) v))))
✓	29.6b	(+.f32 1 (*.f32 (-.f32 1 u) -2))
	3.6b	(+.f32 1 (*.f32 v (+.f32 (log.f32 u) (log.f32 (/.f32 2 v)))))
	26.0b	(+.f32 1 (.f32 v (.f32 2 (-.f32 (exp.f32 (log1p.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) 1))))
	0.1b	(+.f32 1 (.f32 v (.f32 2 (log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))))
✓	0.1b	(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)))))))
✓	0.1b	(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
	1.5b	(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u)))))
	0.1b	(+.f32 1 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)))
	0.2b	(.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (/.f32 1 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
	28.6b	(.f32 v (log.f32 (.f32 (/.f32 u v) 2)))
✓	25.6b	(*.f32 2 u)
✓	1.6b	(exp.f32 (log.f32 (fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)))
	3.7b	1
	30.3b	-1

Compiler

Compiled 667 to 525 computations (21.3% saved)

regimes103.0ms (0.7%)

Counts

55 → 1

Calls

Call 1

Inputs
-1
1
(*.f32 2 u)
(-.f32 (*.f32 2 u) 1)
(+.f32 1 (*.f32 (-.f32 1 u) -2))
(+.f32 1 (/.f32 -2 (/.f32 v (*.f32 u u))))
(-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 1)
(+.f32 1 (.f32 v (.f32 -2 (/.f32 (-.f32 1 u) v))))
(+.f32 1 (-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 2))
(+.f32 1 (-.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) 2))
(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 1)
(+.f32 1 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 2))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (+.f32 1 (*.f32 u (+.f32 u -2))))) v))))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (/.f32 (-.f32 1 u) (/.f32 1 (-.f32 1 u))))) v))))
(.f32 v (log.f32 (.f32 (/.f32 u v) 2)))
(+.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 1)
(-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 1)
(fma.f32 v (*.f32 -2 (/.f32 (-.f32 1 u) v)) 1)
(+.f32 1 (-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 2))
(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 1)
(-.f32 (fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v)))) 1)
(+.f32 1 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 2))
(+.f32 1 (-.f32 (fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v)))) 2))
(+.f32 1 (.f32 v (-.f32 (.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 -2 v))) -1)) (/.f32 2 v))))
(-.f32 (fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 (/.f32 u (.f32 v v)) (+.f32 4/3 (/.f32 2/3 v)))) 1)
(+.f32 1 (-.f32 (fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 (/.f32 u (.f32 v v)) (+.f32 4/3 (/.f32 2/3 v)))) 2))
(+.f32 (fma.f32 (-.f32 1 u) -2 1) (.f32 (/.f32 1/2 v) (.f32 (-.f32 1 u) (+.f32 (*.f32 (-.f32 1 u) -4) 4))))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v))))
(fma.f32 v (log.f32 (*.f32 2 (/.f32 u v))) 1)
(+.f32 1 (*.f32 v (+.f32 (log.f32 u) (log.f32 (/.f32 2 v)))))
(fma.f32 v (log1p.f32 (-.f32 (*.f32 u (/.f32 2 v)) 1)) 1)
(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u)))))
(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
(fma.f32 v (log.f32 (+.f32 (exp.f32 (/.f32 -2 v)) u)) 1)
(fma.f32 v (log.f32 (*.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u))) 1)
(fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)
(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (pow.f32 (E.f32) (/.f32 -2 v)))))))
(pow.f32 (cbrt.f32 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 1)) 3)
(+.f32 1 (.f32 v (.f32 2 (log.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))))
(fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)
(+.f32 1 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)))
(+.f32 1 (.f32 v (.f32 2 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(pow.f32 (cbrt.f32 (+.f32 1 (.f32 (log.f32 (+.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) v))) 3)
(exp.f32 (log.f32 (fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)))
(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (+.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u)) 1)) 3)
(exp.f32 (log.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))
(pow.f32 (cbrt.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)) 3)
(+.f32 1 (.f32 v (.f32 2 (-.f32 (exp.f32 (log1p.f32 (log.f32 (sqrt.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))) 1))))
(+.f32 (fma.f32 v (.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 -2 v))) -1)) (.f32 -1/2 (/.f32 (pow.f32 (+.f32 1 (neg.f32 (exp.f32 (/.f32 -2 v)))) 2) (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 2) (.f32 v (.f32 u u)))))) -1)
(.f32 (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2)) (/.f32 1 (-.f32 1 (*.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))))))
(/.f32 1 (/.f32 (-.f32 1 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)))) (-.f32 1 (pow.f32 (.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u))) 2))))
(pow.f32 (cbrt.f32 (log.f32 (exp.f32 (fma.f32 v (log.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u)) 1)))) 3)
(+.f32 1 (.f32 v (-.f32 (log.f32 (+.f32 (pow.f32 u 3) (pow.f32 (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 3))) (log.f32 (fma.f32 u u (.f32 (-.f32 1 u) (.f32 (exp.f32 (/.f32 -2 v)) (-.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) u))))))))
(fma.f32 (cbrt.f32 (pow.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v)) 2)) (cbrt.f32 (log.f32 (pow.f32 (fma.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)) u) v))) 1)
(fma.f32 v (.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 -2 v))) -1)) (fma.f32 -1/2 (/.f32 (.f32 (.f32 v (pow.f32 (fma.f32 -1 (exp.f32 (/.f32 -2 v)) 1) 2)) (.f32 u u)) (pow.f32 (exp.f32 (/.f32 -2 v)) 2)) (+.f32 1 (fma.f32 1/3 (/.f32 v (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 -2 v)) 3) (pow.f32 (fma.f32 -1 (exp.f32 (/.f32 -2 v)) 1) 3)) (pow.f32 u 3))) -2))))

Outputs
(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))

Calls

4 calls:

24.0ms	(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))))
24.0ms	u
20.0ms	v
11.0ms	(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))

Results

Error	Segments	Branch
0.1b	1	`u`
0.1b	1	`v`
0.1b	1	`(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))`
0.1b	1	`(.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))))`

Compiler

Compiled 973 to 721 computations (25.9% saved)

regimes39.0ms (0.3%)

Counts

32 → 1

Calls

Call 1

Inputs
-1
1
(*.f32 2 u)
(-.f32 (*.f32 2 u) 1)
(+.f32 1 (*.f32 (-.f32 1 u) -2))
(+.f32 1 (/.f32 -2 (/.f32 v (*.f32 u u))))
(-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 1)
(+.f32 1 (.f32 v (.f32 -2 (/.f32 (-.f32 1 u) v))))
(+.f32 1 (-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 2))
(+.f32 1 (-.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) 2))
(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 1)
(+.f32 1 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 2))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (+.f32 1 (*.f32 u (+.f32 u -2))))) v))))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (/.f32 (-.f32 1 u) (/.f32 1 (-.f32 1 u))))) v))))
(.f32 v (log.f32 (.f32 (/.f32 u v) 2)))
(+.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 1)
(-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 1)
(fma.f32 v (*.f32 -2 (/.f32 (-.f32 1 u) v)) 1)
(+.f32 1 (-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 2))
(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 1)
(-.f32 (fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v)))) 1)
(+.f32 1 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 2))
(+.f32 1 (-.f32 (fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v)))) 2))
(+.f32 1 (.f32 v (-.f32 (.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 -2 v))) -1)) (/.f32 2 v))))
(-.f32 (fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 (/.f32 u (.f32 v v)) (+.f32 4/3 (/.f32 2/3 v)))) 1)
(+.f32 1 (-.f32 (fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 (/.f32 u (.f32 v v)) (+.f32 4/3 (/.f32 2/3 v)))) 2))
(+.f32 (fma.f32 (-.f32 1 u) -2 1) (.f32 (/.f32 1/2 v) (.f32 (-.f32 1 u) (+.f32 (*.f32 (-.f32 1 u) -4) 4))))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v))))
(fma.f32 v (log.f32 (*.f32 2 (/.f32 u v))) 1)
(+.f32 1 (*.f32 v (+.f32 (log.f32 u) (log.f32 (/.f32 2 v)))))
(fma.f32 v (log1p.f32 (-.f32 (*.f32 u (/.f32 2 v)) 1)) 1)
(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u)))))

Outputs
(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u)))))

Calls

2 calls:

15.0ms	v
14.0ms	u

Results

Error	Segments	Branch
1.5b	1	`u`
1.5b	1	`v`

Compiler

Compiled 437 to 316 computations (27.7% saved)

regimes39.0ms (0.3%)

Counts

31 → 1

Calls

Call 1

Inputs
-1
1
(*.f32 2 u)
(-.f32 (*.f32 2 u) 1)
(+.f32 1 (*.f32 (-.f32 1 u) -2))
(+.f32 1 (/.f32 -2 (/.f32 v (*.f32 u u))))
(-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 1)
(+.f32 1 (.f32 v (.f32 -2 (/.f32 (-.f32 1 u) v))))
(+.f32 1 (-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 2))
(+.f32 1 (-.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) 2))
(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 1)
(+.f32 1 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 2))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (+.f32 1 (*.f32 u (+.f32 u -2))))) v))))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (/.f32 (-.f32 1 u) (/.f32 1 (-.f32 1 u))))) v))))
(.f32 v (log.f32 (.f32 (/.f32 u v) 2)))
(+.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 1)
(-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 1)
(fma.f32 v (*.f32 -2 (/.f32 (-.f32 1 u) v)) 1)
(+.f32 1 (-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 2))
(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 1)
(-.f32 (fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v)))) 1)
(+.f32 1 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 2))
(+.f32 1 (-.f32 (fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v)))) 2))
(+.f32 1 (.f32 v (-.f32 (.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 -2 v))) -1)) (/.f32 2 v))))
(-.f32 (fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 (/.f32 u (.f32 v v)) (+.f32 4/3 (/.f32 2/3 v)))) 1)
(+.f32 1 (-.f32 (fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 (/.f32 u (.f32 v v)) (+.f32 4/3 (/.f32 2/3 v)))) 2))
(+.f32 (fma.f32 (-.f32 1 u) -2 1) (.f32 (/.f32 1/2 v) (.f32 (-.f32 1 u) (+.f32 (*.f32 (-.f32 1 u) -4) 4))))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v))))
(fma.f32 v (log.f32 (*.f32 2 (/.f32 u v))) 1)
(+.f32 1 (*.f32 v (+.f32 (log.f32 u) (log.f32 (/.f32 2 v)))))
(fma.f32 v (log1p.f32 (-.f32 (*.f32 u (/.f32 2 v)) 1)) 1)

Outputs
(fma.f32 v (log.f32 (*.f32 2 (/.f32 u v))) 1)

Calls

2 calls:

15.0ms	v
13.0ms	u

Results

Error	Segments	Branch
3.5b	1	`u`
3.5b	1	`v`

Compiler

Compiled 425 to 307 computations (27.8% saved)

regimes48.0ms (0.3%)

Counts

28 → 2

Calls

Call 1

Inputs
-1
1
(*.f32 2 u)
(-.f32 (*.f32 2 u) 1)
(+.f32 1 (*.f32 (-.f32 1 u) -2))
(+.f32 1 (/.f32 -2 (/.f32 v (*.f32 u u))))
(-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 1)
(+.f32 1 (.f32 v (.f32 -2 (/.f32 (-.f32 1 u) v))))
(+.f32 1 (-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 2))
(+.f32 1 (-.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) 2))
(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 1)
(+.f32 1 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 2))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (+.f32 1 (*.f32 u (+.f32 u -2))))) v))))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (/.f32 (-.f32 1 u) (/.f32 1 (-.f32 1 u))))) v))))
(.f32 v (log.f32 (.f32 (/.f32 u v) 2)))
(+.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 1)
(-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 1)
(fma.f32 v (*.f32 -2 (/.f32 (-.f32 1 u) v)) 1)
(+.f32 1 (-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 2))
(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 1)
(-.f32 (fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v)))) 1)
(+.f32 1 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 2))
(+.f32 1 (-.f32 (fma.f32 2 u (*.f32 (/.f32 u v) (+.f32 2 (/.f32 4/3 v)))) 2))
(+.f32 1 (.f32 v (-.f32 (.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 -2 v))) -1)) (/.f32 2 v))))
(-.f32 (fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 (/.f32 u (.f32 v v)) (+.f32 4/3 (/.f32 2/3 v)))) 1)
(+.f32 1 (-.f32 (fma.f32 2 (+.f32 u (/.f32 u v)) (.f32 (/.f32 u (.f32 v v)) (+.f32 4/3 (/.f32 2/3 v)))) 2))
(+.f32 (fma.f32 (-.f32 1 u) -2 1) (.f32 (/.f32 1/2 v) (.f32 (-.f32 1 u) (+.f32 (*.f32 (-.f32 1 u) -4) 4))))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (pow.f32 (-.f32 1 u) 2))) v))))

Outputs
1
(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 1)

Calls

2 calls:

26.0ms	v
13.0ms	u

Results

Error	Segments	Branch
3.6b	1	`u`
2.6b	2	`v`

Compiler

Compiled 394 to 286 computations (27.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.2409229725599289	0.2804313004016876

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes33.0ms (0.2%)

Counts

19 → 2

Calls

Call 1

Inputs
-1
1
(*.f32 2 u)
(-.f32 (*.f32 2 u) 1)
(+.f32 1 (*.f32 (-.f32 1 u) -2))
(+.f32 1 (/.f32 -2 (/.f32 v (*.f32 u u))))
(-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 1)
(+.f32 1 (.f32 v (.f32 -2 (/.f32 (-.f32 1 u) v))))
(+.f32 1 (-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 2))
(+.f32 1 (-.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) 2))
(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 1)
(+.f32 1 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 2))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (+.f32 1 (*.f32 u (+.f32 u -2))))) v))))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (/.f32 (-.f32 1 u) (/.f32 1 (-.f32 1 u))))) v))))
(.f32 v (log.f32 (.f32 (/.f32 u v) 2)))
(+.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 1)
(-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 1)
(fma.f32 v (*.f32 -2 (/.f32 (-.f32 1 u) v)) 1)
(+.f32 1 (-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 2))

Outputs
1
(-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 1)

Calls

2 calls:

18.0ms	v
9.0ms	u

Results

Error	Segments	Branch
3.6b	1	`u`
2.6b	2	`v`

Compiler

Compiled 228 to 169 computations (25.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.2409229725599289	0.2804313004016876

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes22.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

Inputs
-1
1
(*.f32 2 u)
(-.f32 (*.f32 2 u) 1)
(+.f32 1 (*.f32 (-.f32 1 u) -2))
(+.f32 1 (/.f32 -2 (/.f32 v (*.f32 u u))))
(-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 1)
(+.f32 1 (.f32 v (.f32 -2 (/.f32 (-.f32 1 u) v))))
(+.f32 1 (-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 2))
(+.f32 1 (-.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) 2))
(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 1)
(+.f32 1 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 2))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (+.f32 1 (*.f32 u (+.f32 u -2))))) v))))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (/.f32 (-.f32 1 u) (/.f32 1 (-.f32 1 u))))) v))))
(.f32 v (log.f32 (.f32 (/.f32 u v) 2)))
(+.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 1)

Outputs
(+.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 1)

Calls

2 calls:

9.0ms	v
8.0ms	u

Results

Error	Segments	Branch
3.6b	1	`u`
3.6b	1	`v`

Compiler

Compiled 196 to 147 computations (25% saved)

regimes21.0ms (0.1%)

Accuracy

Total -27.5b remaining (-748.9%)

Threshold costs -27.5b (-748.9%)

Counts

15 → 1

Calls

Call 1

Inputs
-1
1
(*.f32 2 u)
(-.f32 (*.f32 2 u) 1)
(+.f32 1 (*.f32 (-.f32 1 u) -2))
(+.f32 1 (/.f32 -2 (/.f32 v (*.f32 u u))))
(-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 1)
(+.f32 1 (.f32 v (.f32 -2 (/.f32 (-.f32 1 u) v))))
(+.f32 1 (-.f32 (*.f32 2 (+.f32 u (/.f32 u v))) 2))
(+.f32 1 (-.f32 (.f32 (+.f32 2 (.f32 2 (/.f32 1 v))) u) 2))
(-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 1)
(+.f32 1 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (+.f32 (/.f32 2 (*.f32 v v)) (-.f32 1 (/.f32 2 v)))) 1))) 2))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (+.f32 1 (*.f32 u (+.f32 u -2))))) v))))
(+.f32 1 (+.f32 (.f32 -2 (-.f32 1 u)) (.f32 1/2 (/.f32 (+.f32 (.f32 4 (-.f32 1 u)) (.f32 -4 (/.f32 (-.f32 1 u) (/.f32 1 (-.f32 1 u))))) v))))
(.f32 v (log.f32 (.f32 (/.f32 u v) 2)))

Outputs
1

Calls

2 calls:

8.0ms	v
8.0ms	u

Results

Error	Segments	Branch
3.7b	1	`u`
3.7b	1	`v`

Compiler

Compiled 186 to 140 computations (24.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative`
22×	`+-commutative`
12×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	228
1	75	228
2	86	228
3	92	228
4	95	228
5	96	228

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u)))))
(fma.f32 v (log.f32 (*.f32 2 (/.f32 u v))) 1)
(if (<=.f32 v 1/4) 1 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 1))
(if (<=.f32 v 1/4) 1 (-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 1))
(+.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 1)
1
-1

Outputs
(+.f32 1 (.f32 v (log.f32 (+.f32 u (.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))))))
(+.f32 1 (.f32 v (log.f32 (.f32 (expm1.f32 (/.f32 -2 v)) (neg.f32 u)))))
(fma.f32 v (log.f32 (*.f32 2 (/.f32 u v))) 1)
(if (<=.f32 v 1/4) 1 (-.f32 (.f32 v (.f32 u (-.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) 1))) 1))
(if (<=.f32 v 1/4) 1 (+.f32 (.f32 v (.f32 u (+.f32 (/.f32 1 (exp.f32 (/.f32 -2 v))) -1))) -1))
(if (<=.f32 v 1/4) 1 (-.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) 1))
(if (<=.f32 v 1/4) 1 (+.f32 (.f32 (expm1.f32 (/.f32 2 v)) (.f32 v u)) -1))
(+.f32 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))) 1)
(+.f32 1 (.f32 v (log.f32 (.f32 u (/.f32 2 v)))))
1
-1

Compiler

Compiled 98 to 77 computations (21.4% saved)

soundness0.0ms (0%)

end51.0ms (0.4%)

Compiler: Compiled 84 to 63 computations (25% saved)