Details

analyze67.0ms (0.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.2%	99.8%	0%	0%	0%	0
0%	0%	0.2%	99.8%	0%	0%	0%	1
0%	0%	0.2%	99.8%	0%	0%	0%	2
50%	0.1%	0.1%	99.8%	0%	0%	0%	3
50%	0.1%	0.1%	99.8%	0%	0%	0%	4
75%	0.1%	0%	99.8%	0%	0%	0%	5
75%	0.1%	0%	99.8%	0%	0%	0%	6
87.5%	0.1%	0%	99.8%	0%	0%	0%	7
87.5%	0.1%	0%	99.8%	0%	0%	0%	8
93.8%	0.2%	0%	99.8%	0%	0%	0%	9
93.8%	0.2%	0%	99.8%	0%	0%	0%	10
96.9%	0.2%	0%	99.8%	0%	0%	0%	11
96.9%	0.2%	0%	99.8%	0%	0%	0%	12

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.6s (16.6%)

Results

1.6s

8256×

body

256

valid

Bogosity

preprocess202.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

1484×	`fma-def`
1154×	`associate-+l+`
1076×	`+-commutative`
882×	`associate--l+`
830×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	37	50
2	76	50
3	150	50
4	254	50
5	332	50
6	423	50
7	601	50
8	953	50
9	2132	50
10	2831	50
11	3408	50
12	4829	50
13	5142	50
14	5214	50
15	5282	50
16	5705	50
17	6454	50
18	7088	50
19	7403	50
20	7517	50
21	7573	50
22	7573	50
23	7841	50
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
(.f32 (.f32 (neg.f32 u0) u0) (log.f32 (-.f32 1 alpha)))

Outputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
(.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))
(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
(.f32 (.f32 (neg.f32 u0) u0) (log.f32 (-.f32 1 alpha)))
(.f32 (neg.f32 u0) (.f32 u0 (log.f32 (-.f32 1 alpha))))
(.f32 (neg.f32 (.f32 u0 u0)) (log1p.f32 (neg.f32 alpha)))
(.f32 u0 (.f32 (neg.f32 u0) (log1p.f32 (neg.f32 alpha))))
(.f32 u0 (.f32 u0 (neg.f32 (log1p.f32 (neg.f32 alpha)))))
(.f32 (.f32 u0 (neg.f32 u0)) (log1p.f32 (neg.f32 alpha)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

606×	`fma-def`
522×	`associate-+l+`
348×	`distribute-lft-in`
300×	`associate-r`
298×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	24	25
2	45	25
3	85	25
4	139	25
5	180	25
6	236	25
7	331	25
8	504	25
9	1101	25
10	1460	25
11	1758	25
12	2477	25
13	2636	25
14	2663	25
15	2664	25

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))

Outputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
(.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))

eval1.0ms (0%)

Compiler: Compiled 36 to 19 computations (47.2% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1	3	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	4	5

Error

0.3b

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.1b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
▶	0.3b	(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
▶	13.1b	(.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))

Compiler

Compiled 32 to 23 computations (28.1% saved)

localize35.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 alpha (log.f32 (-.f32 1 u0)))
✓	0.2b	(.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))
✓	13.1b	(log.f32 (-.f32 1 u0))

Compiler

Compiled 29 to 18 computations (37.9% saved)

series37.0ms (0.4%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
21.0ms	alpha	@	0	(.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))
12.0ms	alpha	@	0	(*.f32 alpha (log.f32 (-.f32 1 u0)))
0.0ms	alpha	@	inf	(.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))
0.0ms	u0	@	0	(.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))
0.0ms	u0	@	inf	(log.f32 (-.f32 1 u0))

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1978×	`add-sqr-sqrt`
1962×	`*-un-lft-identity`
1820×	`add-cube-cbrt`
1794×	`add-cbrt-cube`
220×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	222	45
2	2836	45

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(log.f32 (-.f32 1 u0))
(.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))
(*.f32 alpha (log.f32 (-.f32 1 u0)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (-.f32 1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (log.f32 (sqrt.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 (.f32 u0 u0) u0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (.f32 u0 u0))) (log1p.f32 u0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (-.f32 1 u0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (-.f32 1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (-.f32 1 u0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log.f32 (-.f32 1 u0))) (sqrt.f32 (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (-.f32 1 u0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (-.f32 1 u0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 (log.f32 (-.f32 1 u0)) (log.f32 (-.f32 1 u0))) (log.f32 (-.f32 1 u0))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log.f32 (-.f32 1 u0)) (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (.f32 (log.f32 (-.f32 1 u0)) (log.f32 (-.f32 1 u0))) (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (log.f32 (-.f32 1 u0))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (neg.f32 u0))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha) (.f32 (log.f32 (-.f32 1 u0)) alpha)) (.f32 (log.f32 (-.f32 1 u0)) alpha)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha) (.f32 (log.f32 (-.f32 1 u0)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha) (.f32 (log.f32 (-.f32 1 u0)) alpha)) (.f32 (log.f32 (-.f32 1 u0)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (-.f32 1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (log.f32 (sqrt.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 (*.f32 u0 u0) u0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log1p.f32 u0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (-.f32 1 u0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (-.f32 1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (-.f32 1 u0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (-.f32 1 u0))) (sqrt.f32 (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (*.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (-.f32 1 u0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (-.f32 1 u0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (log.f32 (-.f32 1 u0)) (log.f32 (-.f32 1 u0))) (log.f32 (-.f32 1 u0))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log.f32 (-.f32 1 u0)) (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 (log.f32 (-.f32 1 u0)) (log.f32 (-.f32 1 u0))) (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (-.f32 1 u0))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (neg.f32 u0))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha) (*.f32 (log.f32 (-.f32 1 u0)) alpha)) (*.f32 (log.f32 (-.f32 1 u0)) alpha)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha) (*.f32 (log.f32 (-.f32 1 u0)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha) (*.f32 (log.f32 (-.f32 1 u0)) alpha)) (*.f32 (log.f32 (-.f32 1 u0)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)))))))

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1198×	`associate-+r-`
976×	`unswap-sqr`
972×	`*-commutative`
502×	`associate-+r+`
492×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	3185
1	550	2857
2	2533	2615
3	7308	2611

Stop Event

1×	node limit

Counts

109 → 191

Calls

Call 1

Inputs
(*.f32 -1 u0)
(+.f32 (.f32 -1 u0) (.f32 -1/2 (pow.f32 u0 2)))
(+.f32 (.f32 -1 u0) (+.f32 (.f32 -1/2 (pow.f32 u0 2)) (*.f32 -1/3 (pow.f32 u0 3))))
(+.f32 (.f32 -1 u0) (+.f32 (.f32 -1/2 (pow.f32 u0 2)) (+.f32 (.f32 -1/3 (pow.f32 u0 3)) (.f32 -1/4 (pow.f32 u0 4)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (/.f32 1 u0))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (+.f32 (/.f32 1 u0) (.f32 1/2 (/.f32 1 (pow.f32 u0 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (+.f32 (/.f32 1 u0) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u0 3))) (*.f32 1/2 (/.f32 1 (pow.f32 u0 2))))))
(*.f32 -1 (log.f32 (/.f32 -1 u0)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u0))) (/.f32 1 u0))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 1 u0) (.f32 1/2 (/.f32 1 (pow.f32 u0 2)))))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 1 u0) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u0 3))) (*.f32 1/2 (/.f32 1 (pow.f32 u0 2))))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(*.f32 u0 (pow.f32 alpha 2))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))))
(*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0)))
(+.f32 (*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (/.f32 (pow.f32 alpha 2) u0))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2)))))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (*.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))))))
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(.f32 -1 (.f32 u0 alpha))
(+.f32 (.f32 -1 (.f32 u0 alpha)) (.f32 -1/2 (.f32 (pow.f32 u0 2) alpha)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (+.f32 (.f32 -1 (.f32 u0 alpha)) (.f32 -1/2 (.f32 (pow.f32 u0 2) alpha))))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 u0 4) alpha)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (+.f32 (.f32 -1 (.f32 u0 alpha)) (.f32 -1/2 (.f32 (pow.f32 u0 2) alpha)))))
(.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) alpha)
(+.f32 (.f32 -1 (/.f32 alpha u0)) (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) alpha))
(+.f32 (.f32 -1/2 (/.f32 alpha (pow.f32 u0 2))) (+.f32 (.f32 -1 (/.f32 alpha u0)) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) alpha)))
(+.f32 (.f32 -1/2 (/.f32 alpha (pow.f32 u0 2))) (+.f32 (.f32 -1 (/.f32 alpha u0)) (+.f32 (.f32 -1/3 (/.f32 alpha (pow.f32 u0 3))) (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) alpha))))
(.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0))))
(+.f32 (.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0)))) (*.f32 -1 (/.f32 alpha u0)))
(+.f32 (.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0)))) (+.f32 (.f32 -1/2 (/.f32 alpha (pow.f32 u0 2))) (.f32 -1 (/.f32 alpha u0))))
(+.f32 (.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0)))) (+.f32 (.f32 -1/2 (/.f32 alpha (pow.f32 u0 2))) (+.f32 (.f32 -1 (/.f32 alpha u0)) (*.f32 -1/3 (/.f32 alpha (pow.f32 u0 3))))))
(+.f32 0 (log.f32 (-.f32 1 u0)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0))))
(+.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (log.f32 (sqrt.f32 (-.f32 1 u0))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 (*.f32 u0 u0) u0))))
(-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log1p.f32 u0))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (-.f32 1 u0)))) 1)
(*.f32 1 (log.f32 (-.f32 1 u0)))
(*.f32 (log.f32 (-.f32 1 u0)) 1)
(*.f32 (sqrt.f32 (log.f32 (-.f32 1 u0))) (sqrt.f32 (log.f32 (-.f32 1 u0))))
(.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))))
(.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (-.f32 1 u0))))
(pow.f32 (log.f32 (-.f32 1 u0)) 1)
(pow.f32 (sqrt.f32 (log.f32 (-.f32 1 u0))) 2)
(pow.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) 3)
(pow.f32 (.f32 (.f32 (log.f32 (-.f32 1 u0)) (log.f32 (-.f32 1 u0))) (log.f32 (-.f32 1 u0))) 1/3)
(sqrt.f32 (*.f32 (log.f32 (-.f32 1 u0)) (log.f32 (-.f32 1 u0))))
(cbrt.f32 (.f32 (.f32 (log.f32 (-.f32 1 u0)) (log.f32 (-.f32 1 u0))) (log.f32 (-.f32 1 u0))))
(expm1.f32 (log1p.f32 (log.f32 (-.f32 1 u0))))
(exp.f32 (log.f32 (log.f32 (-.f32 1 u0))))
(exp.f32 (*.f32 (log.f32 (log.f32 (-.f32 1 u0))) 1))
(log1p.f32 (neg.f32 u0))
(-.f32 0 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))) 1)
(pow.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) 1)
(pow.f32 (sqrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 2)
(pow.f32 (cbrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 3)
(pow.f32 (.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 1/3)
(neg.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))
(sqrt.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) (.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))
(log.f32 (exp.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))))
(cbrt.f32 (.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))
(expm1.f32 (log1p.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))
(exp.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 1))
(log1p.f32 (expm1.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha))) 1)
(pow.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha) 1)
(pow.f32 (sqrt.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)) 2)
(pow.f32 (cbrt.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)) 3)
(pow.f32 (.f32 (.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha) (.f32 (log.f32 (-.f32 1 u0)) alpha)) (*.f32 (log.f32 (-.f32 1 u0)) alpha)) 1/3)
(sqrt.f32 (.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha) (*.f32 (log.f32 (-.f32 1 u0)) alpha)))
(log.f32 (exp.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha))))
(cbrt.f32 (.f32 (.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha) (.f32 (log.f32 (-.f32 1 u0)) alpha)) (*.f32 (log.f32 (-.f32 1 u0)) alpha)))
(expm1.f32 (log1p.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)))
(exp.f32 (log.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)))
(exp.f32 (.f32 (log.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha)) 1))
(log1p.f32 (expm1.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)))

Outputs
(*.f32 -1 u0)
(neg.f32 u0)
(+.f32 (.f32 -1 u0) (.f32 -1/2 (pow.f32 u0 2)))
(fma.f32 -1 u0 (.f32 -1/2 (.f32 u0 u0)))
(-.f32 (.f32 u0 (.f32 u0 -1/2)) u0)
(fma.f32 u0 (*.f32 u0 -1/2) (neg.f32 u0))
(+.f32 (.f32 -1 u0) (+.f32 (.f32 -1/2 (pow.f32 u0 2)) (*.f32 -1/3 (pow.f32 u0 3))))
(fma.f32 -1 u0 (fma.f32 -1/2 (.f32 u0 u0) (.f32 -1/3 (pow.f32 u0 3))))
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(fma.f32 -1/2 (/.f32 alpha (.f32 u0 u0)) (fma.f32 -1 (/.f32 alpha u0) (fma.f32 -1/3 (/.f32 alpha (pow.f32 u0 3)) (.f32 (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1)) alpha))))
(fma.f32 -1/2 (/.f32 alpha (.f32 u0 u0)) (-.f32 (fma.f32 (+.f32 (log.f32 u0) (log.f32 -1)) alpha (.f32 -1/3 (/.f32 alpha (pow.f32 u0 3)))) (/.f32 alpha u0)))
(+.f32 (.f32 (+.f32 (log.f32 u0) (log.f32 -1)) alpha) (-.f32 (.f32 (/.f32 alpha (*.f32 u0 u0)) (+.f32 (/.f32 -1/3 u0) -1/2)) (/.f32 alpha u0)))
(.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0))))
(*.f32 (neg.f32 alpha) (log.f32 (/.f32 -1 u0)))
(*.f32 (log.f32 (/.f32 -1 u0)) (neg.f32 alpha))
(+.f32 (.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0)))) (*.f32 -1 (/.f32 alpha u0)))
(fma.f32 -1 (*.f32 (log.f32 (/.f32 -1 u0)) alpha) (/.f32 (neg.f32 alpha) u0))
(neg.f32 (fma.f32 (log.f32 (/.f32 -1 u0)) alpha (/.f32 alpha u0)))
(+.f32 (.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0)))) (+.f32 (.f32 -1/2 (/.f32 alpha (pow.f32 u0 2))) (.f32 -1 (/.f32 alpha u0))))
(fma.f32 -1 (.f32 (log.f32 (/.f32 -1 u0)) alpha) (fma.f32 -1/2 (/.f32 alpha (.f32 u0 u0)) (/.f32 (neg.f32 alpha) u0)))
(-.f32 (-.f32 (.f32 -1/2 (/.f32 alpha (.f32 u0 u0))) (/.f32 alpha u0)) (*.f32 (log.f32 (/.f32 -1 u0)) alpha))
(-.f32 (.f32 (/.f32 alpha u0) (+.f32 -1 (/.f32 -1/2 u0))) (.f32 (log.f32 (/.f32 -1 u0)) alpha))
(+.f32 (.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0)))) (+.f32 (.f32 -1/2 (/.f32 alpha (pow.f32 u0 2))) (+.f32 (.f32 -1 (/.f32 alpha u0)) (*.f32 -1/3 (/.f32 alpha (pow.f32 u0 3))))))
(fma.f32 -1 (.f32 (log.f32 (/.f32 -1 u0)) alpha) (fma.f32 -1/2 (/.f32 alpha (.f32 u0 u0)) (fma.f32 -1 (/.f32 alpha u0) (*.f32 -1/3 (/.f32 alpha (pow.f32 u0 3))))))
(-.f32 (fma.f32 -1/2 (/.f32 alpha (.f32 u0 u0)) (fma.f32 -1/3 (/.f32 alpha (pow.f32 u0 3)) (/.f32 (neg.f32 alpha) u0))) (.f32 (log.f32 (/.f32 -1 u0)) alpha))
(+.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 -1 u0)) alpha (/.f32 alpha u0))) (.f32 (/.f32 alpha (.f32 u0 u0)) (+.f32 (/.f32 -1/3 u0) -1/2)))
(-.f32 (.f32 (/.f32 alpha (.f32 u0 u0)) (+.f32 (/.f32 -1/3 u0) -1/2)) (fma.f32 (log.f32 (/.f32 -1 u0)) alpha (/.f32 alpha u0)))
(+.f32 0 (log.f32 (-.f32 1 u0)))
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0))))
(*.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u0))))
(+.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (log.f32 (sqrt.f32 (-.f32 1 u0))))
(*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 (*.f32 u0 u0) u0))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log1p.f32 (fma.f32 u0 u0 u0)))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 u0 3))) (log1p.f32 (fma.f32 u0 u0 u0)))
(-.f32 (log.f32 (-.f32 1 (*.f32 u0 u0))) (log1p.f32 u0))
(-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (-.f32 1 u0)))) 1)
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(*.f32 1 (log.f32 (-.f32 1 u0)))
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(*.f32 (log.f32 (-.f32 1 u0)) 1)
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(*.f32 (sqrt.f32 (log.f32 (-.f32 1 u0))) (sqrt.f32 (log.f32 (-.f32 1 u0))))
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))))
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (-.f32 1 u0))))
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(pow.f32 (log.f32 (-.f32 1 u0)) 1)
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(pow.f32 (sqrt.f32 (log.f32 (-.f32 1 u0))) 2)
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(pow.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) 3)
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(pow.f32 (.f32 (.f32 (log.f32 (-.f32 1 u0)) (log.f32 (-.f32 1 u0))) (log.f32 (-.f32 1 u0))) 1/3)
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(sqrt.f32 (*.f32 (log.f32 (-.f32 1 u0)) (log.f32 (-.f32 1 u0))))
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(cbrt.f32 (.f32 (.f32 (log.f32 (-.f32 1 u0)) (log.f32 (-.f32 1 u0))) (log.f32 (-.f32 1 u0))))
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(expm1.f32 (log1p.f32 (log.f32 (-.f32 1 u0))))
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(exp.f32 (log.f32 (log.f32 (-.f32 1 u0))))
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(exp.f32 (*.f32 (log.f32 (log.f32 (-.f32 1 u0))) 1))
(log.f32 (-.f32 1 u0))
(log1p.f32 (neg.f32 u0))
(log1p.f32 (neg.f32 u0))
(log.f32 (-.f32 1 u0))
(-.f32 0 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))) 1)
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(pow.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) 1)
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(pow.f32 (sqrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 2)
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(pow.f32 (cbrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 3)
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(pow.f32 (.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 1/3)
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(neg.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(sqrt.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) (.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(log.f32 (exp.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(cbrt.f32 (.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0))) (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(expm1.f32 (log1p.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(exp.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))) 1))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(log1p.f32 (expm1.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha))) 1)
(*.f32 alpha (log.f32 (-.f32 1 u0)))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(pow.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha) 1)
(*.f32 alpha (log.f32 (-.f32 1 u0)))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(pow.f32 (sqrt.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)) 2)
(*.f32 alpha (log.f32 (-.f32 1 u0)))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(pow.f32 (cbrt.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)) 3)
(*.f32 alpha (log.f32 (-.f32 1 u0)))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(pow.f32 (.f32 (.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha) (.f32 (log.f32 (-.f32 1 u0)) alpha)) (*.f32 (log.f32 (-.f32 1 u0)) alpha)) 1/3)
(*.f32 alpha (log.f32 (-.f32 1 u0)))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(sqrt.f32 (.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha) (*.f32 (log.f32 (-.f32 1 u0)) alpha)))
(*.f32 alpha (log.f32 (-.f32 1 u0)))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(log.f32 (exp.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)))
(*.f32 alpha (log.f32 (-.f32 1 u0)))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha))))
(*.f32 alpha (log.f32 (-.f32 1 u0)))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(cbrt.f32 (.f32 (.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha) (.f32 (log.f32 (-.f32 1 u0)) alpha)) (*.f32 (log.f32 (-.f32 1 u0)) alpha)))
(*.f32 alpha (log.f32 (-.f32 1 u0)))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(expm1.f32 (log1p.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)))
(*.f32 alpha (log.f32 (-.f32 1 u0)))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(exp.f32 (log.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)))
(*.f32 alpha (log.f32 (-.f32 1 u0)))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(exp.f32 (.f32 (log.f32 (.f32 (log.f32 (-.f32 1 u0)) alpha)) 1))
(*.f32 alpha (log.f32 (-.f32 1 u0)))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(log1p.f32 (expm1.f32 (*.f32 (log.f32 (-.f32 1 u0)) alpha)))
(*.f32 alpha (log.f32 (-.f32 1 u0)))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (neg.f32 u0))
✓	0.2b	(*.f32 alpha (log1p.f32 (neg.f32 u0)))
✓	0.2b	(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series11.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	alpha	@	0	(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
2.0ms	alpha	@	0	(*.f32 alpha (log1p.f32 (neg.f32 u0)))
0.0ms	alpha	@	inf	(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
0.0ms	alpha	@	inf	(*.f32 alpha (log1p.f32 (neg.f32 u0)))
0.0ms	u0	@	inf	(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`add-sqr-sqrt`
1544×	`*-un-lft-identity`
1428×	`add-cube-cbrt`
1404×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	203	33
2	2595	33

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

Inputs
(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(log1p.f32 (neg.f32 u0))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 alpha (log1p.f32 (neg.f32 u0)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (neg.f32 u0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (neg.f32 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (neg.f32 u0))) (sqrt.f32 (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (cbrt.f32 (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (cbrt.f32 (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (neg.f32 u0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (neg.f32 u0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 (log1p.f32 (neg.f32 u0)) (log1p.f32 (neg.f32 u0))) (log1p.f32 (neg.f32 u0))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 (neg.f32 u0)) (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (neg.f32 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (.f32 (log1p.f32 (neg.f32 u0)) (log1p.f32 (neg.f32 u0))) (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (neg.f32 u0))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (neg.f32 u0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (neg.f32 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (neg.f32 u0))) (sqrt.f32 (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (*.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (cbrt.f32 (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (cbrt.f32 (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (neg.f32 u0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (neg.f32 u0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (log1p.f32 (neg.f32 u0))) (log1p.f32 (neg.f32 u0))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (neg.f32 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (log1p.f32 (neg.f32 u0))) (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (neg.f32 u0))) 1))))))

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1008×	`unswap-sqr`
950×	`*-commutative`
884×	`distribute-lft-in`
864×	`distribute-rgt-in`
476×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	3188
1	511	2780
2	2320	2666

Stop Event

1×	node limit

Counts

104 → 190

Calls

Call 1

Inputs
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(*.f32 u0 (pow.f32 alpha 2))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))))
(*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0)))
(+.f32 (*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (/.f32 (pow.f32 alpha 2) u0))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2)))))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (*.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))))))
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(.f32 -1 (.f32 u0 alpha))
(+.f32 (.f32 -1 (.f32 u0 alpha)) (.f32 -1/2 (.f32 (pow.f32 u0 2) alpha)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (+.f32 (.f32 -1 (.f32 u0 alpha)) (.f32 -1/2 (.f32 (pow.f32 u0 2) alpha))))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 u0 4) alpha)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (+.f32 (.f32 -1 (.f32 u0 alpha)) (.f32 -1/2 (.f32 (pow.f32 u0 2) alpha)))))
(.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) alpha)
(+.f32 (.f32 -1 (/.f32 alpha u0)) (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) alpha))
(+.f32 (.f32 -1/2 (/.f32 alpha (pow.f32 u0 2))) (+.f32 (.f32 -1 (/.f32 alpha u0)) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) alpha)))
(+.f32 (.f32 -1/2 (/.f32 alpha (pow.f32 u0 2))) (+.f32 (.f32 -1 (/.f32 alpha u0)) (+.f32 (.f32 -1/3 (/.f32 alpha (pow.f32 u0 3))) (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) alpha))))
(.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0))))
(+.f32 (.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0)))) (*.f32 -1 (/.f32 alpha u0)))
(+.f32 (.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0)))) (+.f32 (.f32 -1/2 (/.f32 alpha (pow.f32 u0 2))) (.f32 -1 (/.f32 alpha u0))))
(+.f32 (.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0)))) (+.f32 (.f32 -1/2 (/.f32 alpha (pow.f32 u0 2))) (+.f32 (.f32 -1 (/.f32 alpha u0)) (*.f32 -1/3 (/.f32 alpha (pow.f32 u0 3))))))
(*.f32 -1 u0)
(+.f32 (.f32 -1 u0) (.f32 -1/2 (pow.f32 u0 2)))
(+.f32 (.f32 -1 u0) (+.f32 (.f32 -1/2 (pow.f32 u0 2)) (*.f32 -1/3 (pow.f32 u0 3))))
(+.f32 (.f32 -1 u0) (+.f32 (.f32 -1/2 (pow.f32 u0 2)) (+.f32 (.f32 -1/3 (pow.f32 u0 3)) (.f32 -1/4 (pow.f32 u0 4)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (/.f32 1 u0))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (+.f32 (/.f32 1 u0) (.f32 1/2 (/.f32 1 (pow.f32 u0 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (+.f32 (/.f32 1 u0) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u0 3))) (*.f32 1/2 (/.f32 1 (pow.f32 u0 2))))))
(*.f32 -1 (log.f32 (/.f32 -1 u0)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u0))) (/.f32 1 u0))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 1 u0) (.f32 1/2 (/.f32 1 (pow.f32 u0 2)))))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 1 u0) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u0 3))) (*.f32 1/2 (/.f32 1 (pow.f32 u0 2))))))
(-.f32 0 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))) 1)
(pow.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) 1)
(pow.f32 (sqrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 2)
(pow.f32 (cbrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 3)
(pow.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 1/3)
(neg.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(sqrt.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))
(log.f32 (exp.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))))
(cbrt.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(expm1.f32 (log1p.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(exp.f32 (log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(exp.f32 (.f32 (log.f32 (.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 1))
(log1p.f32 (expm1.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 1)
(pow.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) 1)
(pow.f32 (sqrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) 2)
(pow.f32 (cbrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) 3)
(pow.f32 (.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) 1/3)
(sqrt.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(log.f32 (exp.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))))))
(cbrt.f32 (.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(expm1.f32 (log1p.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(exp.f32 (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(exp.f32 (.f32 (log.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) 1))
(log1p.f32 (expm1.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u0)))) 1)
(*.f32 (log1p.f32 (neg.f32 u0)) 1)
(*.f32 1 (log1p.f32 (neg.f32 u0)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u0))) (sqrt.f32 (log1p.f32 (neg.f32 u0))))
(.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (cbrt.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 (.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (cbrt.f32 (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (log1p.f32 (neg.f32 u0))))
(pow.f32 (log1p.f32 (neg.f32 u0)) 1)
(pow.f32 (sqrt.f32 (log1p.f32 (neg.f32 u0))) 2)
(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) 3)
(pow.f32 (.f32 (.f32 (log1p.f32 (neg.f32 u0)) (log1p.f32 (neg.f32 u0))) (log1p.f32 (neg.f32 u0))) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (log1p.f32 (neg.f32 u0))))
(log.f32 (+.f32 1 (neg.f32 u0)))
(cbrt.f32 (.f32 (.f32 (log1p.f32 (neg.f32 u0)) (log1p.f32 (neg.f32 u0))) (log1p.f32 (neg.f32 u0))))
(expm1.f32 (log1p.f32 (log1p.f32 (neg.f32 u0))))
(exp.f32 (log.f32 (log1p.f32 (neg.f32 u0))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (neg.f32 u0))) 1))

Outputs
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) u0)
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 alpha alpha) (*.f32 u0 u0))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 1/2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (.f32 1/2 (.f32 (.f32 alpha alpha) (*.f32 u0 u0)))))
(fma.f32 (.f32 alpha alpha) u0 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/3 (pow.f32 u0 3)))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(fma.f32 1/4 (.f32 (.f32 alpha alpha) (pow.f32 u0 4)) (fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (.f32 1/2 (.f32 (.f32 alpha alpha) (*.f32 u0 u0))))))
(+.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/3 (pow.f32 u0 3)))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) u0)))
(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (+.f32 u0 (.f32 1/4 (pow.f32 u0 4)))))
(.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))
(neg.f32 (.f32 (.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1))))
(.f32 (+.f32 (log.f32 u0) (log.f32 -1)) (neg.f32 (.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u0)))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))
(+.f32 (neg.f32 (.f32 (.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1)))) (/.f32 (*.f32 alpha alpha) u0))
(fma.f32 (neg.f32 (+.f32 (log.f32 u0) (log.f32 -1))) (*.f32 alpha alpha) (/.f32 alpha (/.f32 u0 alpha)))
(fma.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u0)) (.f32 alpha alpha) (.f32 (/.f32 alpha u0) alpha))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))))
(+.f32 (/.f32 (.f32 alpha alpha) u0) (fma.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 u0 u0)) (neg.f32 (.f32 (*.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1))))))
(-.f32 (fma.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 u0 u0)) (/.f32 alpha (/.f32 u0 alpha))) (.f32 alpha (.f32 alpha (+.f32 (log.f32 u0) (log.f32 -1)))))
(-.f32 (.f32 (+.f32 (/.f32 1/2 u0) 1) (.f32 (/.f32 alpha u0) alpha)) (.f32 alpha (.f32 alpha (+.f32 (log.f32 u0) (log.f32 -1)))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))))
(fma.f32 1/3 (/.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (+.f32 (/.f32 (.f32 alpha alpha) u0) (fma.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 u0 u0)) (neg.f32 (.f32 (.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1)))))))
(fma.f32 1/3 (/.f32 alpha (/.f32 (pow.f32 u0 3) alpha)) (-.f32 (fma.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 u0 u0)) (/.f32 alpha (/.f32 u0 alpha))) (.f32 alpha (.f32 alpha (+.f32 (log.f32 u0) (log.f32 -1))))))
(+.f32 (.f32 (/.f32 alpha u0) alpha) (-.f32 (.f32 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (+.f32 1/2 (/.f32 1/3 u0))) (.f32 alpha (*.f32 alpha (+.f32 (log.f32 u0) (log.f32 -1))))))
(*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0)))
(.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)))
(.f32 alpha (.f32 alpha (log.f32 (/.f32 -1 u0))))
(+.f32 (*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (/.f32 (pow.f32 alpha 2) u0))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (/.f32 (.f32 alpha alpha) u0))
(fma.f32 (*.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (/.f32 alpha (/.f32 u0 alpha)))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (.f32 (/.f32 alpha u0) alpha))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2)))))
(+.f32 (fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (/.f32 (.f32 alpha alpha) u0)) (.f32 1/2 (/.f32 (.f32 alpha alpha) (*.f32 u0 u0))))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (fma.f32 1/2 (/.f32 (.f32 alpha alpha) (*.f32 u0 u0)) (/.f32 alpha (/.f32 u0 alpha))))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (.f32 (+.f32 (/.f32 1/2 u0) 1) (*.f32 (/.f32 alpha u0) alpha)))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (*.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))))))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (fma.f32 1/3 (/.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (+.f32 (/.f32 (.f32 alpha alpha) u0) (.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 u0 u0))))))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (fma.f32 1/3 (/.f32 alpha (/.f32 (pow.f32 u0 3) alpha)) (fma.f32 1/2 (/.f32 (.f32 alpha alpha) (*.f32 u0 u0)) (/.f32 alpha (/.f32 u0 alpha)))))
(+.f32 (fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (.f32 (/.f32 alpha u0) alpha)) (.f32 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (+.f32 1/2 (/.f32 1/3 u0))))
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(*.f32 (log.f32 (-.f32 1 u0)) alpha)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(.f32 -1 (.f32 u0 alpha))
(*.f32 (neg.f32 u0) alpha)
(*.f32 alpha (neg.f32 u0))
(+.f32 (.f32 -1 (.f32 u0 alpha)) (.f32 -1/2 (.f32 (pow.f32 u0 2) alpha)))
(fma.f32 -1 (.f32 alpha u0) (.f32 -1/2 (.f32 alpha (.f32 u0 u0))))
(.f32 alpha (-.f32 (.f32 (*.f32 u0 u0) -1/2) u0))
(.f32 alpha (.f32 u0 (+.f32 -1 (*.f32 u0 -1/2))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (+.f32 (.f32 -1 (.f32 u0 alpha)) (.f32 -1/2 (.f32 (pow.f32 u0 2) alpha))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 alpha u0) (.f32 -1/2 (.f32 alpha (*.f32 u0 u0)))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) -1/2) u0)))
(.f32 alpha (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) u0))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 u0 4) alpha)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (+.f32 (.f32 -1 (.f32 u0 alpha)) (.f32 -1/2 (.f32 (pow.f32 u0 2) alpha)))))
(fma.f32 -1/4 (.f32 alpha (pow.f32 u0 4)) (fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 alpha u0) (.f32 -1/2 (.f32 alpha (.f32 u0 u0))))))
(+.f32 (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) -1/2) u0)) (.f32 alpha (fma.f32 (pow.f32 u0 3) -1/3 (*.f32 (pow.f32 u0 4) -1/4))))
(.f32 alpha (-.f32 (fma.f32 (.f32 u0 u0) -1/2 (fma.f32 (pow.f32 u0 4) -1/4 (*.f32 (pow.f32 u0 3) -1/3))) u0))
(.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) alpha)
(*.f32 alpha (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1)))
(*.f32 alpha (+.f32 (log.f32 u0) (log.f32 -1)))
(+.f32 (.f32 -1 (/.f32 alpha u0)) (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) alpha))
(fma.f32 -1 (/.f32 alpha u0) (*.f32 alpha (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1))))
(fma.f32 alpha (+.f32 (log.f32 u0) (log.f32 -1)) (/.f32 (neg.f32 alpha) u0))
(-.f32 (*.f32 alpha (+.f32 (log.f32 u0) (log.f32 -1))) (/.f32 alpha u0))
(+.f32 (.f32 -1/2 (/.f32 alpha (pow.f32 u0 2))) (+.f32 (.f32 -1 (/.f32 alpha u0)) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) alpha)))
(fma.f32 -1/2 (/.f32 alpha (.f32 u0 u0)) (fma.f32 -1 (/.f32 alpha u0) (.f32 alpha (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1)))))
(fma.f32 -1/2 (/.f32 alpha (*.f32 u0 u0)) (fma.f32 alpha (+.f32 (log.f32 u0) (log.f32 -1)) (/.f32 (neg.f32 alpha) u0)))
(+.f32 (.f32 alpha (+.f32 (log.f32 u0) (log.f32 -1))) (.f32 (/.f32 alpha u0) (+.f32 -1 (/.f32 -1/2 u0))))
(+.f32 (.f32 -1/2 (/.f32 alpha (pow.f32 u0 2))) (+.f32 (.f32 -1 (/.f32 alpha u0)) (+.f32 (.f32 -1/3 (/.f32 alpha (pow.f32 u0 3))) (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) alpha))))
(fma.f32 -1/2 (/.f32 alpha (.f32 u0 u0)) (fma.f32 -1 (/.f32 alpha u0) (fma.f32 -1/3 (/.f32 alpha (pow.f32 u0 3)) (.f32 alpha (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1))))))
(fma.f32 -1/2 (/.f32 alpha (*.f32 u0 u0)) (-.f32 (fma.f32 alpha (+.f32 (log.f32 u0) (log.f32 -1)) (/.f32 -1/3 (/.f32 (pow.f32 u0 3) alpha))) (/.f32 alpha u0)))
(+.f32 (.f32 alpha (+.f32 (log.f32 u0) (log.f32 -1))) (-.f32 (.f32 (/.f32 alpha (*.f32 u0 u0)) (+.f32 (/.f32 -1/3 u0) -1/2)) (/.f32 alpha u0)))
(.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0))))
(*.f32 (neg.f32 alpha) (log.f32 (/.f32 -1 u0)))
(*.f32 alpha (neg.f32 (log.f32 (/.f32 -1 u0))))
(+.f32 (.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0)))) (*.f32 -1 (/.f32 alpha u0)))
(.f32 -1 (+.f32 (.f32 alpha (log.f32 (/.f32 -1 u0))) (/.f32 alpha u0)))
(neg.f32 (fma.f32 alpha (log.f32 (/.f32 -1 u0)) (/.f32 alpha u0)))
(+.f32 (.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0)))) (+.f32 (.f32 -1/2 (/.f32 alpha (pow.f32 u0 2))) (.f32 -1 (/.f32 alpha u0))))
(fma.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0))) (fma.f32 -1/2 (/.f32 alpha (.f32 u0 u0)) (neg.f32 (/.f32 alpha u0))))
(+.f32 (.f32 -1/2 (/.f32 alpha (.f32 u0 u0))) (neg.f32 (fma.f32 alpha (log.f32 (/.f32 -1 u0)) (/.f32 alpha u0))))
(-.f32 (.f32 (/.f32 alpha u0) (+.f32 -1 (/.f32 -1/2 u0))) (.f32 alpha (log.f32 (/.f32 -1 u0))))
(+.f32 (.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0)))) (+.f32 (.f32 -1/2 (/.f32 alpha (pow.f32 u0 2))) (+.f32 (.f32 -1 (/.f32 alpha u0)) (*.f32 -1/3 (/.f32 alpha (pow.f32 u0 3))))))
(fma.f32 -1 (.f32 alpha (log.f32 (/.f32 -1 u0))) (fma.f32 -1/2 (/.f32 alpha (.f32 u0 u0)) (fma.f32 -1 (/.f32 alpha u0) (*.f32 -1/3 (/.f32 alpha (pow.f32 u0 3))))))
(-.f32 (fma.f32 -1/2 (/.f32 alpha (.f32 u0 u0)) (-.f32 (/.f32 -1/3 (/.f32 (pow.f32 u0 3) alpha)) (/.f32 alpha u0))) (.f32 alpha (log.f32 (/.f32 -1 u0))))
(-.f32 (-.f32 (.f32 (/.f32 alpha (.f32 u0 u0)) (+.f32 (/.f32 -1/3 u0) -1/2)) (/.f32 alpha u0)) (*.f32 alpha (log.f32 (/.f32 -1 u0))))
(*.f32 -1 u0)
(neg.f32 u0)
(+.f32 (.f32 -1 u0) (.f32 -1/2 (pow.f32 u0 2)))
(fma.f32 -1 u0 (.f32 (.f32 u0 u0) -1/2))
(-.f32 (.f32 (.f32 u0 u0) -1/2) u0)
(.f32 u0 (+.f32 -1 (.f32 u0 -1/2)))
(+.f32 (.f32 -1 u0) (+.f32 (.f32 -1/2 (pow.f32 u0 2)) (*.f32 -1/3 (pow.f32 u0 3))))
(fma.f32 -1 u0 (fma.f32 -1/2 (.f32 u0 u0) (.f32 (pow.f32 u0 3) -1/3)))
(-.f32 (fma.f32 (.f32 u0 u0) -1/2 (.f32 (pow.f32 u0 3) -1/3)) u0)
(-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)
(+.f32 (.f32 -1 u0) (+.f32 (.f32 -1/2 (pow.f32 u0 2)) (+.f32 (.f32 -1/3 (pow.f32 u0 3)) (.f32 -1/4 (pow.f32 u0 4)))))
(fma.f32 -1 u0 (fma.f32 -1/2 (.f32 u0 u0) (fma.f32 -1/3 (pow.f32 u0 3) (.f32 (pow.f32 u0 4) -1/4))))
(-.f32 (fma.f32 (.f32 u0 u0) -1/2 (fma.f32 (pow.f32 u0 3) -1/3 (.f32 (pow.f32 u0 4) -1/4))) u0)
(-.f32 (fma.f32 (.f32 u0 u0) -1/2 (fma.f32 (pow.f32 u0 4) -1/4 (.f32 (pow.f32 u0 3) -1/3))) u0)
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1))
(fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1))
(+.f32 (log.f32 u0) (log.f32 -1))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (/.f32 1 u0))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1)) (/.f32 1 u0))
(+.f32 (log.f32 -1) (+.f32 (log.f32 u0) (/.f32 -1 u0)))
(+.f32 (log.f32 u0) (+.f32 (log.f32 -1) (/.f32 -1 u0)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (+.f32 (/.f32 1 u0) (.f32 1/2 (/.f32 1 (pow.f32 u0 2)))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1)) (+.f32 (/.f32 1 u0) (/.f32 1/2 (*.f32 u0 u0))))
(+.f32 (log.f32 u0) (-.f32 (log.f32 -1) (+.f32 (/.f32 1 u0) (/.f32 1/2 (*.f32 u0 u0)))))
(+.f32 (log.f32 u0) (-.f32 (+.f32 (log.f32 -1) (/.f32 -1 u0)) (/.f32 1/2 (*.f32 u0 u0))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (+.f32 (/.f32 1 u0) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u0 3))) (*.f32 1/2 (/.f32 1 (pow.f32 u0 2))))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1)) (+.f32 (/.f32 1 u0) (+.f32 (/.f32 1/2 (*.f32 u0 u0)) (/.f32 1/3 (pow.f32 u0 3)))))
(+.f32 (log.f32 -1) (-.f32 (log.f32 u0) (+.f32 (+.f32 (/.f32 1 u0) (/.f32 1/2 (*.f32 u0 u0))) (/.f32 1/3 (pow.f32 u0 3)))))
(+.f32 (log.f32 u0) (-.f32 (-.f32 (+.f32 (log.f32 -1) (/.f32 -1 u0)) (/.f32 1/2 (*.f32 u0 u0))) (/.f32 1/3 (pow.f32 u0 3))))
(*.f32 -1 (log.f32 (/.f32 -1 u0)))
(neg.f32 (log.f32 (/.f32 -1 u0)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u0))) (/.f32 1 u0))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u0))) (/.f32 1 u0))
(fma.f32 -1 (log.f32 (/.f32 -1 u0)) (/.f32 -1 u0))
(-.f32 (/.f32 -1 u0) (log.f32 (/.f32 -1 u0)))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 1 u0) (.f32 1/2 (/.f32 1 (pow.f32 u0 2)))))
(-.f32 (-.f32 (neg.f32 (log.f32 (/.f32 -1 u0))) (/.f32 1 u0)) (/.f32 1/2 (*.f32 u0 u0)))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u0)) (/.f32 -1 u0)) (/.f32 1/2 (*.f32 u0 u0)))
(+.f32 (-.f32 (/.f32 -1 u0) (log.f32 (/.f32 -1 u0))) (/.f32 -1/2 (*.f32 u0 u0)))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 1 u0) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u0 3))) (*.f32 1/2 (/.f32 1 (pow.f32 u0 2))))))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 1 u0) (+.f32 (/.f32 1/2 (*.f32 u0 u0)) (/.f32 1/3 (pow.f32 u0 3)))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u0)) (/.f32 -1 u0)) (+.f32 (/.f32 1/2 (*.f32 u0 u0)) (/.f32 1/3 (pow.f32 u0 3))))
(+.f32 (-.f32 (/.f32 -1 u0) (log.f32 (/.f32 -1 u0))) (-.f32 (/.f32 -1/2 (*.f32 u0 u0)) (/.f32 1/3 (pow.f32 u0 3))))
(-.f32 0 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(+.f32 0 (.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))) 1)
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(pow.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) 1)
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(pow.f32 (sqrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 2)
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(pow.f32 (cbrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 3)
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(pow.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 1/3)
(cbrt.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))))
(cbrt.f32 (pow.f32 (.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0)))) 3))
(neg.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(+.f32 0 (.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0)))
(sqrt.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(log.f32 (exp.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(cbrt.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(cbrt.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))))
(cbrt.f32 (pow.f32 (.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0)))) 3))
(expm1.f32 (log1p.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(exp.f32 (log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(exp.f32 (.f32 (log.f32 (.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 1))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(log1p.f32 (expm1.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 1)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(pow.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) 1)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(pow.f32 (sqrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) 2)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(pow.f32 (cbrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) 3)
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(pow.f32 (.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) 1/3)
(cbrt.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))
(cbrt.f32 (pow.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) 3))
(sqrt.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(log.f32 (exp.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))))))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(cbrt.f32 (.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(cbrt.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))
(cbrt.f32 (pow.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) 3))
(expm1.f32 (log1p.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(exp.f32 (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(exp.f32 (.f32 (log.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) 1))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(log1p.f32 (expm1.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(*.f32 alpha (log1p.f32 (neg.f32 u0)))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u0)))) 1)
(log1p.f32 (neg.f32 u0))
(*.f32 (log1p.f32 (neg.f32 u0)) 1)
(log1p.f32 (neg.f32 u0))
(*.f32 1 (log1p.f32 (neg.f32 u0)))
(log1p.f32 (neg.f32 u0))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u0))) (sqrt.f32 (log1p.f32 (neg.f32 u0))))
(log1p.f32 (neg.f32 u0))
(.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (cbrt.f32 (log1p.f32 (neg.f32 u0)))))
(log1p.f32 (neg.f32 u0))
(.f32 (.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (cbrt.f32 (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (log1p.f32 (neg.f32 u0))))
(log1p.f32 (neg.f32 u0))
(pow.f32 (log1p.f32 (neg.f32 u0)) 1)
(log1p.f32 (neg.f32 u0))
(pow.f32 (sqrt.f32 (log1p.f32 (neg.f32 u0))) 2)
(log1p.f32 (neg.f32 u0))
(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) 3)
(log1p.f32 (neg.f32 u0))
(pow.f32 (.f32 (.f32 (log1p.f32 (neg.f32 u0)) (log1p.f32 (neg.f32 u0))) (log1p.f32 (neg.f32 u0))) 1/3)
(cbrt.f32 (.f32 (log1p.f32 (neg.f32 u0)) (.f32 (log1p.f32 (neg.f32 u0)) (log1p.f32 (neg.f32 u0)))))
(cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u0)) 3))
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (log1p.f32 (neg.f32 u0))))
(log1p.f32 (neg.f32 u0))
(log.f32 (+.f32 1 (neg.f32 u0)))
(log1p.f32 (neg.f32 u0))
(cbrt.f32 (.f32 (.f32 (log1p.f32 (neg.f32 u0)) (log1p.f32 (neg.f32 u0))) (log1p.f32 (neg.f32 u0))))
(cbrt.f32 (.f32 (log1p.f32 (neg.f32 u0)) (.f32 (log1p.f32 (neg.f32 u0)) (log1p.f32 (neg.f32 u0)))))
(cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u0)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (neg.f32 u0))))
(log1p.f32 (neg.f32 u0))
(exp.f32 (log.f32 (log1p.f32 (neg.f32 u0))))
(log1p.f32 (neg.f32 u0))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (neg.f32 u0))) 1))
(log1p.f32 (neg.f32 u0))

localize32.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
	13.1b	(log.f32 (-.f32 1 u0))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u0	@	inf	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
0.0ms	alpha	@	0	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
0.0ms	u0	@	0	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
0.0ms	u0	@	-inf	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
0.0ms	alpha	@	inf	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1922×	`add-sqr-sqrt`
1906×	`*-un-lft-identity`
1766×	`add-cube-cbrt`
1744×	`add-cbrt-cube`
218×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	221	21
2	2833	21

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0)))) (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))) (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0)))) (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0)))) (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))) (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))))))))

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1148×	`associate-+l+`
996×	`associate-/l*`
948×	`associate-/r*`
726×	`distribute-lft-neg-in`
630×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	1414
1	227	1282
2	999	1206
3	3452	1186

Stop Event

1×	node limit

Counts

38 → 75

Calls

Call 1

Inputs
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(*.f32 u0 (pow.f32 alpha 2))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))))
(*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0)))
(+.f32 (*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (/.f32 (pow.f32 alpha 2) u0))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2)))))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (*.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0)))))) 1)
(pow.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0)))) 1)
(pow.f32 (sqrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))) 2)
(pow.f32 (cbrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))) 3)
(pow.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))) 1/3)
(neg.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0)))))
(sqrt.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0)))) (.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))))
(log.f32 (exp.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0)))))))
(cbrt.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))))
(expm1.f32 (log1p.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))))
(exp.f32 (log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))))
(exp.f32 (.f32 (log.f32 (.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))) 1))
(log1p.f32 (expm1.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))))

Outputs
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) u0)
(.f32 alpha (.f32 alpha u0))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 alpha alpha) (*.f32 u0 u0))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
(.f32 (.f32 alpha alpha) (fma.f32 1/2 (*.f32 u0 u0) u0))
(.f32 alpha (.f32 alpha (fma.f32 1/2 (*.f32 u0 u0) u0)))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (.f32 1/2 (.f32 (.f32 alpha alpha) (*.f32 u0 u0)))))
(fma.f32 (.f32 alpha alpha) u0 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/3 (pow.f32 u0 3)))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(fma.f32 1/4 (.f32 (.f32 alpha alpha) (pow.f32 u0 4)) (fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (.f32 1/2 (.f32 (.f32 alpha alpha) (*.f32 u0 u0))))))
(+.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/3 (pow.f32 u0 3)))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) u0)))
(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3))) (fma.f32 1/4 (pow.f32 u0 4) u0)))
(.f32 (.f32 alpha alpha) (+.f32 (fma.f32 1/4 (pow.f32 u0 4) u0) (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))))
(.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))
(neg.f32 (.f32 (.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1))))
(.f32 (.f32 alpha alpha) (neg.f32 (+.f32 (log.f32 u0) (log.f32 -1))))
(.f32 (+.f32 (log.f32 u0) (log.f32 -1)) (.f32 alpha (neg.f32 alpha)))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))
(+.f32 (neg.f32 (.f32 (.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1)))) (/.f32 (*.f32 alpha alpha) u0))
(-.f32 (/.f32 alpha (/.f32 u0 alpha)) (.f32 (.f32 alpha alpha) (+.f32 (log.f32 u0) (log.f32 -1))))
(fma.f32 (+.f32 (log.f32 u0) (log.f32 -1)) (.f32 alpha (neg.f32 alpha)) (.f32 (/.f32 alpha u0) alpha))
(.f32 alpha (-.f32 (/.f32 alpha u0) (.f32 alpha (+.f32 (log.f32 u0) (log.f32 -1)))))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))))
(+.f32 (/.f32 (.f32 alpha alpha) u0) (fma.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 u0 u0)) (neg.f32 (.f32 (*.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1))))))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (/.f32 alpha (/.f32 u0 alpha))) (.f32 (*.f32 alpha alpha) (+.f32 (log.f32 u0) (log.f32 -1))))
(-.f32 (.f32 (+.f32 (/.f32 1/2 u0) 1) (.f32 (/.f32 alpha u0) alpha)) (.f32 alpha (.f32 alpha (+.f32 (log.f32 u0) (log.f32 -1)))))
(+.f32 (.f32 alpha (/.f32 alpha u0)) (.f32 (.f32 alpha alpha) (-.f32 (/.f32 1/2 (.f32 u0 u0)) (+.f32 (log.f32 u0) (log.f32 -1)))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))))
(fma.f32 1/3 (/.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (+.f32 (/.f32 (.f32 alpha alpha) u0) (fma.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 u0 u0)) (neg.f32 (.f32 (.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1)))))))
(fma.f32 1/3 (/.f32 alpha (/.f32 (pow.f32 u0 3) alpha)) (-.f32 (fma.f32 1/2 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (/.f32 alpha (/.f32 u0 alpha))) (.f32 (*.f32 alpha alpha) (+.f32 (log.f32 u0) (log.f32 -1)))))
(+.f32 (.f32 (/.f32 alpha u0) alpha) (-.f32 (.f32 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (+.f32 (/.f32 1/3 u0) 1/2)) (.f32 alpha (*.f32 alpha (+.f32 (log.f32 u0) (log.f32 -1))))))
(-.f32 (.f32 (+.f32 1 (/.f32 1/2 u0)) (.f32 alpha (/.f32 alpha u0))) (.f32 (.f32 alpha alpha) (-.f32 (+.f32 (log.f32 u0) (log.f32 -1)) (/.f32 1/3 (pow.f32 u0 3)))))
(*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0)))
(.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)))
(.f32 alpha (.f32 alpha (log.f32 (/.f32 -1 u0))))
(+.f32 (*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (/.f32 (pow.f32 alpha 2) u0))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (/.f32 (.f32 alpha alpha) u0))
(fma.f32 (*.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (/.f32 alpha (/.f32 u0 alpha)))
(fma.f32 alpha (.f32 alpha (log.f32 (/.f32 -1 u0))) (.f32 (/.f32 alpha u0) alpha))
(.f32 alpha (+.f32 (/.f32 alpha u0) (.f32 alpha (log.f32 (/.f32 -1 u0)))))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2)))))
(+.f32 (fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (/.f32 (.f32 alpha alpha) u0)) (.f32 1/2 (/.f32 (.f32 alpha alpha) (*.f32 u0 u0))))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (fma.f32 1/2 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (/.f32 alpha (/.f32 u0 alpha))))
(fma.f32 alpha (.f32 alpha (log.f32 (/.f32 -1 u0))) (.f32 (+.f32 (/.f32 1/2 u0) 1) (*.f32 (/.f32 alpha u0) alpha)))
(fma.f32 alpha (.f32 alpha (log.f32 (/.f32 -1 u0))) (.f32 (+.f32 1 (/.f32 1/2 u0)) (*.f32 alpha (/.f32 alpha u0))))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (*.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))))))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (fma.f32 1/3 (/.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (+.f32 (/.f32 (.f32 alpha alpha) u0) (.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 u0 u0))))))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (fma.f32 1/3 (/.f32 alpha (/.f32 (pow.f32 u0 3) alpha)) (fma.f32 1/2 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (/.f32 alpha (/.f32 u0 alpha)))))
(+.f32 (fma.f32 alpha (.f32 alpha (log.f32 (/.f32 -1 u0))) (.f32 (/.f32 alpha u0) alpha)) (.f32 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (+.f32 (/.f32 1/3 u0) 1/2)))
(fma.f32 alpha (.f32 alpha (log.f32 (/.f32 -1 u0))) (.f32 (.f32 alpha (/.f32 alpha u0)) (+.f32 (/.f32 1/2 u0) (+.f32 1 (/.f32 1/3 (.f32 u0 u0))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0)))))) 1)
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(pow.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0)))) 1)
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(pow.f32 (sqrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))) 2)
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(pow.f32 (cbrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))) 3)
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(pow.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))) 1/3)
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(neg.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0)))))
(.f32 (neg.f32 (neg.f32 alpha)) (.f32 alpha (log.f32 (-.f32 1 u0))))
(.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0)))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(sqrt.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0)))) (.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(log.f32 (exp.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0)))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(cbrt.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(expm1.f32 (log1p.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(exp.f32 (log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(exp.f32 (.f32 (log.f32 (.f32 (neg.f32 alpha) (*.f32 alpha (log.f32 (-.f32 1 u0))))) 1))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(log1p.f32 (expm1.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 alpha (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))

eval130.0ms (1.3%)

Compiler: Compiled 9186 to 4885 computations (46.8% saved)

prune101.0ms (1%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	503	22	525
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	504	24	528

Error

0.0b

Counts

528 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	2.8b	(fma.f32 (.f32 alpha alpha) u0 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/3 (pow.f32 u0 3)))))
	4.4b	(fma.f32 u0 (.f32 alpha alpha) (.f32 (.f32 1/2 (.f32 u0 u0)) (*.f32 alpha alpha)))
	0.6b	(pow.f32 (sqrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 2)
	0.8b	(pow.f32 (cbrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 3)
	2.2b	(+.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) 1/2) (.f32 (pow.f32 u0 3) 1/3))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 (pow.f32 u0 4) 1/4) u0)))
	0.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
	1.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log1p.f32 (fma.f32 u0 u0 u0))))
▶	13.8b	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
▶	0.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
	2.2b	(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 (.f32 u0 1/3) 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))
▶	2.8b	(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))))
	4.4b	(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) 1/2)))
	9.1b	(.f32 (.f32 alpha alpha) u0)
	2.8b	(.f32 (neg.f32 alpha) (fma.f32 -1/3 (.f32 (pow.f32 u0 3) alpha) (.f32 alpha (-.f32 (.f32 u0 (*.f32 u0 -1/2)) u0))))
	4.4b	(.f32 (neg.f32 alpha) (fma.f32 -1 (.f32 u0 alpha) (.f32 -1/2 (.f32 (*.f32 u0 u0) alpha))))
	0.8b	(.f32 (neg.f32 alpha) (pow.f32 (cbrt.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) 3))
	0.7b	(.f32 (neg.f32 alpha) (.f32 alpha (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) 3)))
	2.8b	(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))
	4.4b	(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) -1/2) u0)))
	4.4b	(.f32 (neg.f32 alpha) (.f32 alpha (.f32 u0 (+.f32 -1 (.f32 u0 -1/2)))))
✓	0.3b	(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
✓	13.1b	(.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))
▶	9.1b	(.f32 alpha (.f32 alpha u0))
▶	2.3b	(exp.f32 (log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))

Compiler

Compiled 701 to 473 computations (32.5% saved)

localize27.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(log1p.f32 (neg.f32 u0))
✓	0.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u0	@	inf	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
0.0ms	u0	@	-inf	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
0.0ms	alpha	@	0	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
0.0ms	u0	@	0	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
0.0ms	alpha	@	inf	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`add-sqr-sqrt`
1488×	`*-un-lft-identity`
1374×	`add-cube-cbrt`
1354×	`add-cbrt-cube`
1338×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	202	17
2	2591	17

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))))

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate-+r+`
994×	`associate-/l*`
964×	`associate-+l+`
946×	`associate-/r*`
638×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1385
1	230	1257
2	1014	1181
3	3217	1181

Stop Event

1×	node limit

Counts

37 → 74

Calls

Call 1

Inputs
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(*.f32 u0 (pow.f32 alpha 2))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))))
(*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0)))
(+.f32 (*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (/.f32 (pow.f32 alpha 2) u0))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2)))))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (*.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))))))
(-.f32 (+.f32 1 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 1)
(pow.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) 1)
(pow.f32 (sqrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 2)
(pow.f32 (cbrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 3)
(pow.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 1/3)
(neg.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(sqrt.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))
(log.f32 (exp.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(cbrt.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(expm1.f32 (log1p.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(exp.f32 (log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(exp.f32 (.f32 (log.f32 (.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 1))
(log1p.f32 (expm1.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))

Outputs
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) u0)
(.f32 alpha (.f32 alpha u0))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 alpha alpha) (*.f32 u0 u0))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
(.f32 (.f32 alpha alpha) (fma.f32 1/2 (*.f32 u0 u0) u0))
(.f32 alpha (.f32 alpha (fma.f32 1/2 (*.f32 u0 u0) u0)))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (.f32 1/2 (.f32 (.f32 alpha alpha) (*.f32 u0 u0)))))
(fma.f32 (.f32 alpha alpha) u0 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/3 (pow.f32 u0 3)))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(fma.f32 1/4 (.f32 (.f32 alpha alpha) (pow.f32 u0 4)) (fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (.f32 1/2 (.f32 (.f32 alpha alpha) (*.f32 u0 u0))))))
(+.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/3 (pow.f32 u0 3)))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) u0)))
(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2)) (fma.f32 1/4 (pow.f32 u0 4) u0)))
(.f32 (.f32 alpha alpha) (+.f32 (fma.f32 1/4 (pow.f32 u0 4) u0) (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))))
(.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))
(neg.f32 (.f32 (.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1))))
(.f32 (+.f32 (log.f32 u0) (log.f32 -1)) (.f32 alpha (neg.f32 alpha)))
(.f32 (.f32 alpha alpha) (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u0)))
(.f32 (.f32 alpha alpha) (-.f32 (neg.f32 (log.f32 u0)) (log.f32 -1)))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))
(+.f32 (neg.f32 (.f32 (.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1)))) (/.f32 (*.f32 alpha alpha) u0))
(-.f32 (/.f32 alpha (/.f32 u0 alpha)) (.f32 (.f32 alpha alpha) (+.f32 (log.f32 u0) (log.f32 -1))))
(fma.f32 (*.f32 alpha alpha) (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u0)) (/.f32 alpha (/.f32 u0 alpha)))
(fma.f32 (*.f32 alpha alpha) (-.f32 (neg.f32 (log.f32 u0)) (log.f32 -1)) (/.f32 alpha (/.f32 u0 alpha)))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))))
(+.f32 (/.f32 (.f32 alpha alpha) u0) (fma.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 u0 u0)) (neg.f32 (.f32 (*.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1))))))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (/.f32 alpha (/.f32 u0 alpha))) (.f32 (*.f32 alpha alpha) (+.f32 (log.f32 u0) (log.f32 -1))))
(-.f32 (.f32 (+.f32 (/.f32 1/2 u0) 1) (/.f32 alpha (/.f32 u0 alpha))) (.f32 (*.f32 alpha alpha) (+.f32 (log.f32 u0) (log.f32 -1))))
(-.f32 (.f32 (+.f32 1 (/.f32 1/2 u0)) (/.f32 alpha (/.f32 u0 alpha))) (.f32 alpha (*.f32 alpha (+.f32 (log.f32 u0) (log.f32 -1)))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))))
(fma.f32 1/3 (/.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (+.f32 (/.f32 (.f32 alpha alpha) u0) (fma.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 u0 u0)) (neg.f32 (.f32 (.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1)))))))
(fma.f32 1/3 (/.f32 alpha (/.f32 (pow.f32 u0 3) alpha)) (-.f32 (fma.f32 1/2 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (/.f32 alpha (/.f32 u0 alpha))) (.f32 (*.f32 alpha alpha) (+.f32 (log.f32 u0) (log.f32 -1)))))
(+.f32 (/.f32 alpha (/.f32 u0 alpha)) (-.f32 (.f32 (.f32 (/.f32 alpha (.f32 u0 u0)) alpha) (+.f32 (/.f32 1/3 u0) 1/2)) (.f32 (*.f32 alpha alpha) (+.f32 (log.f32 u0) (log.f32 -1)))))
(+.f32 (fma.f32 (.f32 alpha alpha) (-.f32 (neg.f32 (log.f32 u0)) (log.f32 -1)) (/.f32 alpha (/.f32 u0 alpha))) (.f32 (.f32 alpha (/.f32 alpha (.f32 u0 u0))) (+.f32 1/2 (/.f32 1/3 u0))))
(*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0)))
(.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)))
(.f32 alpha (.f32 alpha (log.f32 (/.f32 -1 u0))))
(+.f32 (*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (/.f32 (pow.f32 alpha 2) u0))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (/.f32 (.f32 alpha alpha) u0))
(fma.f32 (*.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (/.f32 alpha (/.f32 u0 alpha)))
(fma.f32 alpha (*.f32 alpha (log.f32 (/.f32 -1 u0))) (/.f32 alpha (/.f32 u0 alpha)))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2)))))
(+.f32 (fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (/.f32 (.f32 alpha alpha) u0)) (.f32 1/2 (/.f32 (.f32 alpha alpha) (*.f32 u0 u0))))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (fma.f32 1/2 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (/.f32 alpha (/.f32 u0 alpha))))
(fma.f32 alpha (.f32 alpha (log.f32 (/.f32 -1 u0))) (.f32 (+.f32 (/.f32 1/2 u0) 1) (/.f32 alpha (/.f32 u0 alpha))))
(fma.f32 alpha (.f32 alpha (log.f32 (/.f32 -1 u0))) (.f32 (+.f32 1 (/.f32 1/2 u0)) (/.f32 alpha (/.f32 u0 alpha))))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (*.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))))))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (fma.f32 1/3 (/.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (+.f32 (/.f32 (.f32 alpha alpha) u0) (.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 u0 u0))))))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (fma.f32 1/3 (/.f32 alpha (/.f32 (pow.f32 u0 3) alpha)) (fma.f32 1/2 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (/.f32 alpha (/.f32 u0 alpha)))))
(+.f32 (fma.f32 alpha (.f32 alpha (log.f32 (/.f32 -1 u0))) (/.f32 alpha (/.f32 u0 alpha))) (.f32 (.f32 (/.f32 alpha (.f32 u0 u0)) alpha) (+.f32 (/.f32 1/3 u0) 1/2)))
(+.f32 (fma.f32 alpha (.f32 alpha (log.f32 (/.f32 -1 u0))) (/.f32 alpha (/.f32 u0 alpha))) (.f32 (.f32 alpha (/.f32 alpha (.f32 u0 u0))) (+.f32 1/2 (/.f32 1/3 u0))))
(-.f32 (+.f32 1 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 1)
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(pow.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) 1)
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(pow.f32 (sqrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 2)
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(pow.f32 (cbrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 3)
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(pow.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 1/3)
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(neg.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(neg.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0)))
(sqrt.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(log.f32 (exp.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(cbrt.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(expm1.f32 (log1p.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(exp.f32 (log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(exp.f32 (.f32 (log.f32 (.f32 (neg.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0))))) 1))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(log1p.f32 (expm1.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 alpha (.f32 alpha u0))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u0	@	0	(.f32 alpha (.f32 alpha u0))
0.0ms	alpha	@	inf	(.f32 alpha (.f32 alpha u0))
0.0ms	u0	@	inf	(.f32 alpha (.f32 alpha u0))
0.0ms	alpha	@	0	(.f32 alpha (.f32 alpha u0))
0.0ms	u0	@	-inf	(.f32 alpha (.f32 alpha u0))

rewrite48.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`add-sqr-sqrt`
1136×	`*-un-lft-identity`
1068×	`pow1`
1048×	`add-cube-cbrt`
1028×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	119	13
2	1441	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f32 alpha (.f32 alpha u0))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 alpha (*.f32 alpha u0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 alpha (*.f32 alpha u0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 alpha (*.f32 alpha u0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 alpha (*.f32 alpha u0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 alpha (*.f32 alpha u0))) (*.f32 alpha (*.f32 alpha u0))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 alpha (*.f32 alpha u0))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 alpha (*.f32 alpha u0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (*.f32 alpha (*.f32 alpha u0))) (*.f32 alpha (*.f32 alpha u0))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 alpha (*.f32 alpha u0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 alpha (*.f32 alpha u0))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 alpha (*.f32 alpha u0))))))))

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

972×	`*-commutative`
884×	`associate-r`
694×	`associate-l`
638×	`exp-sum`
584×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	455
1	83	455
2	331	455
3	2207	455
4	5277	455
5	7975	455

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

Inputs
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(-.f32 (+.f32 1 (.f32 alpha (.f32 alpha u0))) 1)
(pow.f32 (.f32 alpha (.f32 alpha u0)) 1)
(pow.f32 (sqrt.f32 (.f32 alpha (.f32 alpha u0))) 2)
(pow.f32 (cbrt.f32 (.f32 alpha (.f32 alpha u0))) 3)
(pow.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha u0)) (.f32 alpha (.f32 alpha u0))) (.f32 alpha (.f32 alpha u0))) 1/3)
(sqrt.f32 (.f32 (.f32 alpha (.f32 alpha u0)) (.f32 alpha (*.f32 alpha u0))))
(log.f32 (exp.f32 (.f32 alpha (.f32 alpha u0))))
(cbrt.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha u0)) (.f32 alpha (.f32 alpha u0))) (.f32 alpha (.f32 alpha u0))))
(expm1.f32 (log1p.f32 (.f32 alpha (.f32 alpha u0))))
(exp.f32 (log.f32 (.f32 alpha (.f32 alpha u0))))
(log1p.f32 (expm1.f32 (.f32 alpha (.f32 alpha u0))))

Outputs
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(-.f32 (+.f32 1 (.f32 alpha (.f32 alpha u0))) 1)
(.f32 u0 (.f32 alpha alpha))
(pow.f32 (.f32 alpha (.f32 alpha u0)) 1)
(.f32 u0 (.f32 alpha alpha))
(pow.f32 (sqrt.f32 (.f32 alpha (.f32 alpha u0))) 2)
(.f32 u0 (.f32 alpha alpha))
(pow.f32 (cbrt.f32 (.f32 alpha (.f32 alpha u0))) 3)
(.f32 u0 (.f32 alpha alpha))
(pow.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha u0)) (.f32 alpha (.f32 alpha u0))) (.f32 alpha (.f32 alpha u0))) 1/3)
(.f32 u0 (.f32 alpha alpha))
(sqrt.f32 (.f32 (.f32 alpha (.f32 alpha u0)) (.f32 alpha (*.f32 alpha u0))))
(.f32 u0 (.f32 alpha alpha))
(log.f32 (exp.f32 (.f32 alpha (.f32 alpha u0))))
(.f32 u0 (.f32 alpha alpha))
(cbrt.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha u0)) (.f32 alpha (.f32 alpha u0))) (.f32 alpha (.f32 alpha u0))))
(.f32 u0 (.f32 alpha alpha))
(expm1.f32 (log1p.f32 (.f32 alpha (.f32 alpha u0))))
(.f32 u0 (.f32 alpha alpha))
(exp.f32 (log.f32 (.f32 alpha (.f32 alpha u0))))
(.f32 u0 (.f32 alpha alpha))
(log1p.f32 (expm1.f32 (.f32 alpha (.f32 alpha u0))))
(.f32 u0 (.f32 alpha alpha))

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (*.f32 u0 1/3) 1/2)
✓	0.3b	(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))))
✓	0.3b	(*.f32 u0 1/3)
✓	0.4b	(.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))

Compiler

Compiled 55 to 30 computations (45.5% saved)

series4.0ms (0%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))))
0.0ms	u0	@	inf	(.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))
0.0ms	u0	@	0	(.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))
0.0ms	u0	@	inf	(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))))
0.0ms	alpha	@	inf	(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))))

rewrite104.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1718×	`associate-*r/`
1204×	`associate-*l/`
378×	`associate-+l+`
310×	`add-sqr-sqrt`
298×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	298	72
2	4229	72

Stop Event

1×	node limit

Counts

4 → 216

Calls

Call 1

Inputs
(.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))
(*.f32 u0 1/3)
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))))
(+.f32 (*.f32 u0 1/3) 1/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) (.f32 1/2 (.f32 u0 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 (.f32 u0 u0) (.f32 u0 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) 1) (.f32 (.f32 1/2 (.f32 u0 u0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 1/2 (.f32 u0 u0)) 1) (.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u0 u0) (/.f32 (-.f32 (.f32 u0 1/3) 1/2) (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u0 u0) (/.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2))) (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u0 u0) (-.f32 (.f32 (.f32 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(#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 u0 1/3 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 (fma.f32 u0 1/3 1/2) (fma.f32 u0 1/3 1/2)) (fma.f32 u0 1/3 1/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (fma.f32 u0 1/3 1/2) (fma.f32 u0 1/3 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 u0 1/3 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 u0 1/3 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (.f32 (fma.f32 u0 1/3 1/2) (fma.f32 u0 1/3 1/2)) (fma.f32 u0 1/3 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 u0 1/3 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 u0 1/3 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (fma.f32 u0 1/3 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 u0 1/3 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u0 1/3 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1/3 u0 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 u0 1/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u0 1/3)) (sqrt.f32 (.f32 u0 1/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (cbrt.f32 (.f32 u0 1/3)) (cbrt.f32 (.f32 u0 1/3))) (cbrt.f32 (*.f32 u0 1/3)) 1/2)))))

simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1500×	`associate-r`
1418×	`associate-l`
1364×	`associate-/l*`
616×	`*-commutative`
372×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	547	16212
1	1543	15176

Stop Event

1×	node limit

Counts

276 → 336

Calls

Call 1

Inputs
(*.f32 1/2 (pow.f32 u0 2))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(*.f32 1/3 (pow.f32 u0 3))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(*.f32 1/3 (pow.f32 u0 3))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(*.f32 1/3 u0)
(*.f32 1/3 u0)
(*.f32 1/3 u0)
(*.f32 1/3 u0)
(*.f32 1/3 u0)
(*.f32 1/3 u0)
(*.f32 1/3 u0)
(*.f32 1/3 u0)
(*.f32 1/3 u0)
(*.f32 1/3 u0)
(*.f32 1/3 u0)
(*.f32 1/3 u0)
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
1/2
(+.f32 1/2 (*.f32 1/3 u0))
(+.f32 1/2 (*.f32 1/3 u0))
(+.f32 1/2 (*.f32 1/3 u0))
(*.f32 1/3 u0)
(+.f32 1/2 (*.f32 1/3 u0))
(+.f32 1/2 (*.f32 1/3 u0))
(+.f32 1/2 (*.f32 1/3 u0))
(*.f32 1/3 u0)
(+.f32 1/2 (*.f32 1/3 u0))
(+.f32 1/2 (*.f32 1/3 u0))
(+.f32 1/2 (*.f32 1/3 u0))
(+.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) (.f32 1/2 (*.f32 u0 u0)))
(+.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 (.f32 u0 u0) (*.f32 u0 1/3)))
(+.f32 (.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) 1) (.f32 (.f32 1/2 (*.f32 u0 u0)) 1))
(+.f32 (.f32 (.f32 1/2 (.f32 u0 u0)) 1) (.f32 (.f32 (.f32 u0 u0) (*.f32 u0 1/3)) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2))))) 1)
(/.f32 (.f32 u0 u0) (/.f32 (-.f32 (.f32 u0 1/3) 1/2) (-.f32 (.f32 (.f32 u0 1/3) (*.f32 u0 1/3)) 1/4)))
(/.f32 (.f32 u0 u0) (/.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2))) (+.f32 (pow.f32 (*.f32 u0 1/3) 3) 1/8)))
(/.f32 (.f32 (.f32 u0 u0) (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4)) (-.f32 (.f32 u0 1/3) 1/2))
(/.f32 (.f32 (.f32 u0 u0) (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8)) (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4) (.f32 u0 u0)) (-.f32 (.f32 u0 1/3) 1/2))
(/.f32 (.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8) (.f32 u0 u0)) (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) (.f32 (.f32 u0 u0) (.f32 u0 1/3))) (.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/2 (.f32 u0 u0)))) (-.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) (.f32 1/2 (*.f32 u0 u0))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) 3) (pow.f32 (.f32 1/2 (.f32 u0 u0)) 3)) (+.f32 (.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) (.f32 (.f32 u0 u0) (.f32 u0 1/3))) (-.f32 (.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/2 (.f32 u0 u0))) (.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) (.f32 1/2 (*.f32 u0 u0))))))
(/.f32 (.f32 u0 (.f32 u0 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4))) (-.f32 (.f32 u0 1/3) 1/2))
(/.f32 (.f32 u0 (.f32 u0 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8))) (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2))))
(/.f32 (.f32 (.f32 u0 u0) (-.f32 1/4 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)))) (-.f32 1/2 (.f32 u0 1/3)))
(/.f32 (.f32 (.f32 u0 u0) (neg.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4))) (neg.f32 (-.f32 (.f32 u0 1/3) 1/2)))
(/.f32 (.f32 (.f32 u0 u0) (neg.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8))) (neg.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2)))))
(/.f32 (.f32 1 (.f32 (.f32 u0 u0) (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4))) (-.f32 (*.f32 u0 1/3) 1/2))
(/.f32 (.f32 1 (.f32 (.f32 u0 u0) (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8))) (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (*.f32 u0 1/3) 1/2))))
(/.f32 (.f32 1 (.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4) (.f32 u0 u0))) (-.f32 (*.f32 u0 1/3) 1/2))
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(/.f32 (-.f32 1/4 (.f32 (.f32 u0 1/3) (.f32 u0 1/3))) (-.f32 1/2 (.f32 u0 1/3)))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4)) (neg.f32 (-.f32 (.f32 u0 1/3) 1/2)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8)) (neg.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2)))))
(/.f32 (.f32 1 (-.f32 1/4 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)))) (-.f32 1/2 (*.f32 u0 1/3)))
(/.f32 (.f32 1 (neg.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4))) (neg.f32 (-.f32 (*.f32 u0 1/3) 1/2)))
(/.f32 (.f32 1 (neg.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8))) (neg.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (*.f32 u0 1/3) 1/2)))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 u0 1/3 1/2)) (sqrt.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4))) (sqrt.f32 (-.f32 (*.f32 u0 1/3) 1/2)))
(/.f32 (.f32 (sqrt.f32 (fma.f32 u0 1/3 1/2)) (sqrt.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8))) (sqrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (*.f32 u0 1/3) 1/2)))))
(/.f32 (.f32 (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2))) (cbrt.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4))) (cbrt.f32 (-.f32 (.f32 u0 1/3) 1/2)))
(/.f32 (.f32 (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2))) (cbrt.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8))) (cbrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2)))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4) 1) (-.f32 (*.f32 u0 1/3) 1/2))
(/.f32 (.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8) 1) (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (*.f32 u0 1/3) 1/2))))
(/.f32 (.f32 (-.f32 1/4 (.f32 (.f32 u0 1/3) (.f32 u0 1/3))) 1) (-.f32 1/2 (*.f32 u0 1/3)))
(/.f32 (.f32 (neg.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4)) 1) (neg.f32 (-.f32 (*.f32 u0 1/3) 1/2)))
(/.f32 (.f32 (neg.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8)) 1) (neg.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (*.f32 u0 1/3) 1/2)))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4)) (sqrt.f32 (fma.f32 u0 1/3 1/2))) (sqrt.f32 (-.f32 (*.f32 u0 1/3) 1/2)))
(/.f32 (.f32 (sqrt.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8)) (sqrt.f32 (fma.f32 u0 1/3 1/2))) (sqrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (*.f32 u0 1/3) 1/2)))))
(/.f32 (.f32 (cbrt.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4)) (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2)))) (cbrt.f32 (-.f32 (.f32 u0 1/3) 1/2)))
(/.f32 (.f32 (cbrt.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8)) (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2)))) (cbrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2)))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (.f32 (.f32 u0 1/3) (.f32 u0 1/3))) 1/16) (/.f32 1 (-.f32 (.f32 u0 1/3) 1/2))) (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 3) 1/64) (/.f32 1 (-.f32 (.f32 u0 1/3) 1/2))) (+.f32 (+.f32 (.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (.f32 (.f32 u0 1/3) (.f32 u0 1/3))) 1/16) (.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4)))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (.f32 u0 1/3) 3) (pow.f32 (.f32 u0 1/3) 3)) 1/64) (/.f32 1 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2))))) (-.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8))
(/.f32 (.f32 (+.f32 1/512 (pow.f32 (pow.f32 (.f32 u0 1/3) 3) 3)) (/.f32 1 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2))))) (-.f32 (+.f32 (.f32 (pow.f32 (.f32 u0 1/3) 3) (pow.f32 (.f32 u0 1/3) 3)) 1/64) (.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8)))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4) 1) (-.f32 (.f32 u0 1/3) 1/2))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4) (sqrt.f32 (-.f32 (.f32 u0 1/3) 1/2))) (sqrt.f32 (-.f32 (*.f32 u0 1/3) 1/2)))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4) (.f32 (cbrt.f32 (-.f32 (.f32 u0 1/3) 1/2)) (cbrt.f32 (-.f32 (.f32 u0 1/3) 1/2)))) (cbrt.f32 (-.f32 (*.f32 u0 1/3) 1/2)))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8) 1) (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2))))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8) (sqrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2))))) (sqrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (*.f32 u0 1/3) 1/2)))))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8) (.f32 (cbrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2)))) (cbrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2)))))) (cbrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (*.f32 u0 1/3) 1/2)))))
(pow.f32 (fma.f32 u0 1/3 1/2) 1)
(pow.f32 (sqrt.f32 (fma.f32 u0 1/3 1/2)) 2)
(pow.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) 3)
(pow.f32 (.f32 (.f32 (fma.f32 u0 1/3 1/2) (fma.f32 u0 1/3 1/2)) (fma.f32 u0 1/3 1/2)) 1/3)
(sqrt.f32 (*.f32 (fma.f32 u0 1/3 1/2) (fma.f32 u0 1/3 1/2)))
(log.f32 (exp.f32 (fma.f32 u0 1/3 1/2)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 u0 1/3 1/2))))
(cbrt.f32 (.f32 (.f32 (fma.f32 u0 1/3 1/2) (fma.f32 u0 1/3 1/2)) (fma.f32 u0 1/3 1/2)))
(expm1.f32 (log1p.f32 (fma.f32 u0 1/3 1/2)))
(exp.f32 (log.f32 (fma.f32 u0 1/3 1/2)))
(exp.f32 (*.f32 (log.f32 (fma.f32 u0 1/3 1/2)) 1))
(log1p.f32 (expm1.f32 (fma.f32 u0 1/3 1/2)))
(fma.f32 u0 1/3 1/2)
(fma.f32 1/3 u0 1/2)
(fma.f32 1 (*.f32 u0 1/3) 1/2)
(fma.f32 (sqrt.f32 (.f32 u0 1/3)) (sqrt.f32 (.f32 u0 1/3)) 1/2)
(fma.f32 (.f32 (cbrt.f32 (.f32 u0 1/3)) (cbrt.f32 (.f32 u0 1/3))) (cbrt.f32 (.f32 u0 1/3)) 1/2)

Outputs
(*.f32 1/2 (pow.f32 u0 2))
(.f32 1/2 (.f32 u0 u0))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))
(.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))
(.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))
(.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))
(*.f32 1/3 (pow.f32 u0 3))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))
(.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))
(.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))
(.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))
(*.f32 1/3 (pow.f32 u0 3))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))
(.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))
(.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3)))
(.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))
(.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))
(*.f32 1/3 u0)
(*.f32 u0 1/3)
(*.f32 1/3 u0)
(*.f32 u0 1/3)
(*.f32 1/3 u0)
(*.f32 u0 1/3)
(*.f32 1/3 u0)
(*.f32 u0 1/3)
(*.f32 1/3 u0)
(*.f32 u0 1/3)
(*.f32 1/3 u0)
(*.f32 u0 1/3)
(*.f32 1/3 u0)
(*.f32 u0 1/3)
(*.f32 1/3 u0)
(*.f32 u0 1/3)
(*.f32 1/3 u0)
(*.f32 u0 1/3)
(*.f32 1/3 u0)
(*.f32 u0 1/3)
(*.f32 1/3 u0)
(*.f32 u0 1/3)
(*.f32 1/3 u0)
(*.f32 u0 1/3)
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(.f32 (+.f32 u0 (.f32 (pow.f32 u0 2) (+.f32 1/2 (*.f32 1/3 u0)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) u0))
(.f32 alpha (.f32 alpha (+.f32 u0 (.f32 1/2 (.f32 u0 u0)))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2)))
(.f32 1/3 (.f32 (pow.f32 u0 3) (*.f32 alpha alpha)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 1/3 (.f32 (pow.f32 u0 3) (.f32 alpha alpha)) (.f32 (.f32 (.f32 alpha alpha) 1/2) (.f32 u0 u0)))
(.f32 u0 (.f32 u0 (.f32 (fma.f32 u0 1/3 1/2) (.f32 alpha alpha))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2)))
(.f32 1/3 (.f32 (pow.f32 u0 3) (*.f32 alpha alpha)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 1/3 (.f32 (pow.f32 u0 3) (.f32 alpha alpha)) (.f32 (.f32 (.f32 alpha alpha) 1/2) (.f32 u0 u0)))
(.f32 u0 (.f32 u0 (.f32 (fma.f32 u0 1/3 1/2) (.f32 alpha alpha))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
1/2
(+.f32 1/2 (*.f32 1/3 u0))
(fma.f32 u0 1/3 1/2)
(+.f32 1/2 (*.f32 1/3 u0))
(fma.f32 u0 1/3 1/2)
(+.f32 1/2 (*.f32 1/3 u0))
(fma.f32 u0 1/3 1/2)
(*.f32 1/3 u0)
(*.f32 u0 1/3)
(+.f32 1/2 (*.f32 1/3 u0))
(fma.f32 u0 1/3 1/2)
(+.f32 1/2 (*.f32 1/3 u0))
(fma.f32 u0 1/3 1/2)
(+.f32 1/2 (*.f32 1/3 u0))
(fma.f32 u0 1/3 1/2)
(*.f32 1/3 u0)
(*.f32 u0 1/3)
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(.f32 (/.f32 (sqrt.f32 (+.f32 (.f32 (pow.f32 u0 3) 1/27) 1/8)) (sqrt.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) (+.f32 1/4 (*.f32 u0 -1/6))))) (sqrt.f32 (fma.f32 u0 1/3 1/2)))
(/.f32 (.f32 (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2))) (cbrt.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4))) (cbrt.f32 (-.f32 (.f32 u0 1/3) 1/2)))
(/.f32 (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2))) (/.f32 (cbrt.f32 (fma.f32 u0 1/3 -1/2)) (cbrt.f32 (+.f32 (.f32 (*.f32 u0 u0) 1/9) -1/4))))
(.f32 (/.f32 (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2))) (cbrt.f32 (fma.f32 u0 1/3 -1/2))) (cbrt.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) -1/4)))
(/.f32 (.f32 (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2))) (cbrt.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8))) (cbrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2)))))
(/.f32 (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2))) (/.f32 (cbrt.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) (-.f32 1/4 (.f32 u0 1/6)))) (cbrt.f32 (+.f32 (pow.f32 (*.f32 u0 1/3) 3) 1/8))))
(.f32 (/.f32 (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2))) (cbrt.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) (+.f32 1/4 (.f32 u0 -1/6))))) (cbrt.f32 (+.f32 (.f32 (pow.f32 u0 3) 1/27) 1/8)))
(/.f32 (.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4) 1) (-.f32 (*.f32 u0 1/3) 1/2))
(/.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) -1/4) (fma.f32 u0 1/3 -1/2))
(/.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) -1/4) (fma.f32 u0 1/3 -1/2))
(/.f32 (.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8) 1) (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (*.f32 u0 1/3) 1/2))))
(/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8) (+.f32 (.f32 (.f32 u0 u0) 1/9) (-.f32 1/4 (.f32 u0 1/6))))
(/.f32 (+.f32 (.f32 (pow.f32 u0 3) 1/27) 1/8) (+.f32 (.f32 u0 (.f32 1/9 u0)) (+.f32 1/4 (.f32 u0 -1/6))))
(/.f32 (.f32 (-.f32 1/4 (.f32 (.f32 u0 1/3) (.f32 u0 1/3))) 1) (-.f32 1/2 (*.f32 u0 1/3)))
(/.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) -1/4) (fma.f32 u0 1/3 -1/2))
(/.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) -1/4) (fma.f32 u0 1/3 -1/2))
(/.f32 (.f32 (neg.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4)) 1) (neg.f32 (-.f32 (*.f32 u0 1/3) 1/2)))
(/.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) -1/4) (fma.f32 u0 1/3 -1/2))
(/.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) -1/4) (fma.f32 u0 1/3 -1/2))
(/.f32 (.f32 (neg.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8)) 1) (neg.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (*.f32 u0 1/3) 1/2)))))
(/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8) (+.f32 (.f32 (.f32 u0 u0) 1/9) (-.f32 1/4 (.f32 u0 1/6))))
(/.f32 (+.f32 (.f32 (pow.f32 u0 3) 1/27) 1/8) (+.f32 (.f32 u0 (.f32 1/9 u0)) (+.f32 1/4 (.f32 u0 -1/6))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4)) (sqrt.f32 (fma.f32 u0 1/3 1/2))) (sqrt.f32 (-.f32 (*.f32 u0 1/3) 1/2)))
(/.f32 (sqrt.f32 (fma.f32 u0 1/3 1/2)) (/.f32 (sqrt.f32 (fma.f32 u0 1/3 -1/2)) (sqrt.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) -1/4))))
(.f32 (/.f32 (sqrt.f32 (fma.f32 u0 1/3 1/2)) (sqrt.f32 (fma.f32 u0 1/3 -1/2))) (sqrt.f32 (+.f32 (.f32 u0 (*.f32 1/9 u0)) -1/4)))
(/.f32 (.f32 (sqrt.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8)) (sqrt.f32 (fma.f32 u0 1/3 1/2))) (sqrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (*.f32 u0 1/3) 1/2)))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 u0 1/3 1/2)) (sqrt.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8))) (sqrt.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) (-.f32 1/4 (*.f32 u0 1/6)))))
(.f32 (/.f32 (sqrt.f32 (+.f32 (.f32 (pow.f32 u0 3) 1/27) 1/8)) (sqrt.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) (+.f32 1/4 (*.f32 u0 -1/6))))) (sqrt.f32 (fma.f32 u0 1/3 1/2)))
(/.f32 (.f32 (cbrt.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4)) (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2)))) (cbrt.f32 (-.f32 (.f32 u0 1/3) 1/2)))
(/.f32 (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2))) (/.f32 (cbrt.f32 (fma.f32 u0 1/3 -1/2)) (cbrt.f32 (+.f32 (.f32 (*.f32 u0 u0) 1/9) -1/4))))
(.f32 (/.f32 (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2))) (cbrt.f32 (fma.f32 u0 1/3 -1/2))) (cbrt.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) -1/4)))
(/.f32 (.f32 (cbrt.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8)) (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2)))) (cbrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2)))))
(/.f32 (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2))) (/.f32 (cbrt.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) (-.f32 1/4 (.f32 u0 1/6)))) (cbrt.f32 (+.f32 (pow.f32 (*.f32 u0 1/3) 3) 1/8))))
(.f32 (/.f32 (.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) (cbrt.f32 (fma.f32 u0 1/3 1/2))) (cbrt.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) (+.f32 1/4 (.f32 u0 -1/6))))) (cbrt.f32 (+.f32 (.f32 (pow.f32 u0 3) 1/27) 1/8)))
(/.f32 (.f32 (-.f32 (.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (.f32 (.f32 u0 1/3) (.f32 u0 1/3))) 1/16) (/.f32 1 (-.f32 (.f32 u0 1/3) 1/2))) (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4))
(/.f32 (+.f32 (.f32 (.f32 u0 1/3) (pow.f32 (.f32 u0 1/3) 3)) -1/16) (/.f32 (+.f32 (.f32 (*.f32 u0 u0) 1/9) 1/4) (/.f32 1 (fma.f32 u0 1/3 -1/2))))
(/.f32 (+.f32 (.f32 (pow.f32 u0 4) 1/81) -1/16) (.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) 1/4) (fma.f32 u0 1/3 -1/2)))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 3) 1/64) (/.f32 1 (-.f32 (.f32 u0 1/3) 1/2))) (+.f32 (+.f32 (.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (.f32 (.f32 u0 1/3) (.f32 u0 1/3))) 1/16) (.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4)))
(/.f32 (.f32 (/.f32 1 (fma.f32 u0 1/3 -1/2)) (+.f32 (pow.f32 (.f32 u0 1/3) 6) -1/64)) (+.f32 (+.f32 (.f32 (.f32 u0 1/3) (pow.f32 (.f32 u0 1/3) 3)) 1/16) (.f32 (.f32 (.f32 u0 u0) 1/9) 1/4)))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 6) -1/64) (fma.f32 u0 1/3 -1/2)) (+.f32 (.f32 (pow.f32 u0 4) 1/81) (+.f32 1/16 (.f32 (.f32 u0 u0) 1/36))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (.f32 u0 1/3) 3) (pow.f32 (.f32 u0 1/3) 3)) 1/64) (/.f32 1 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2))))) (-.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8))
(/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 6) -1/64) (/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) -1/8) (/.f32 1 (+.f32 (.f32 (.f32 u0 u0) 1/9) (-.f32 1/4 (*.f32 u0 1/6))))))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 6) -1/64) (+.f32 (.f32 u0 (.f32 1/9 u0)) (+.f32 1/4 (.f32 u0 -1/6)))) (+.f32 (*.f32 (pow.f32 u0 3) 1/27) -1/8))
(/.f32 (.f32 (+.f32 1/512 (pow.f32 (pow.f32 (.f32 u0 1/3) 3) 3)) (/.f32 1 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2))))) (-.f32 (+.f32 (.f32 (pow.f32 (.f32 u0 1/3) 3) (pow.f32 (.f32 u0 1/3) 3)) 1/64) (.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8)))
(/.f32 (+.f32 1/512 (pow.f32 (pow.f32 (.f32 u0 1/3) 3) 3)) (/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 6) (-.f32 1/64 (.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8))) (/.f32 1 (+.f32 (.f32 (.f32 u0 u0) 1/9) (-.f32 1/4 (*.f32 u0 1/6))))))
(/.f32 (+.f32 1/512 (pow.f32 (.f32 (pow.f32 u0 3) 1/27) 3)) (.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 6) (-.f32 1/64 (.f32 (pow.f32 u0 3) 1/216))) (+.f32 (.f32 u0 (.f32 1/9 u0)) (+.f32 1/4 (*.f32 u0 -1/6)))))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4) 1) (-.f32 (.f32 u0 1/3) 1/2))
(/.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) -1/4) (fma.f32 u0 1/3 -1/2))
(/.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) -1/4) (fma.f32 u0 1/3 -1/2))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4) (sqrt.f32 (-.f32 (.f32 u0 1/3) 1/2))) (sqrt.f32 (-.f32 (*.f32 u0 1/3) 1/2)))
(/.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) -1/4) (*.f32 (sqrt.f32 (fma.f32 u0 1/3 -1/2)) (sqrt.f32 (fma.f32 u0 1/3 -1/2))))
(/.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) -1/4) (*.f32 (sqrt.f32 (fma.f32 u0 1/3 -1/2)) (sqrt.f32 (fma.f32 u0 1/3 -1/2))))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4) (.f32 (cbrt.f32 (-.f32 (.f32 u0 1/3) 1/2)) (cbrt.f32 (-.f32 (.f32 u0 1/3) 1/2)))) (cbrt.f32 (-.f32 (*.f32 u0 1/3) 1/2)))
(/.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) -1/4) (.f32 (cbrt.f32 (fma.f32 u0 1/3 -1/2)) (.f32 (cbrt.f32 (fma.f32 u0 1/3 -1/2)) (cbrt.f32 (fma.f32 u0 1/3 -1/2)))))
(/.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) -1/4) (.f32 (cbrt.f32 (fma.f32 u0 1/3 -1/2)) (.f32 (cbrt.f32 (fma.f32 u0 1/3 -1/2)) (cbrt.f32 (fma.f32 u0 1/3 -1/2)))))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8) 1) (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2))))
(/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8) (+.f32 (.f32 (.f32 u0 u0) 1/9) (-.f32 1/4 (.f32 u0 1/6))))
(/.f32 (+.f32 (.f32 (pow.f32 u0 3) 1/27) 1/8) (+.f32 (.f32 u0 (.f32 1/9 u0)) (+.f32 1/4 (.f32 u0 -1/6))))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8) (sqrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2))))) (sqrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (*.f32 u0 1/3) 1/2)))))
(/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8) (.f32 (sqrt.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) (-.f32 1/4 (.f32 u0 1/6)))) (sqrt.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) (-.f32 1/4 (.f32 u0 1/6))))))
(/.f32 (+.f32 (.f32 (pow.f32 u0 3) 1/27) 1/8) (.f32 (sqrt.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) (+.f32 1/4 (.f32 u0 -1/6)))) (sqrt.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) (+.f32 1/4 (.f32 u0 -1/6))))))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8) (.f32 (cbrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2)))) (cbrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (.f32 u0 1/3) 1/2)))))) (cbrt.f32 (+.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) (-.f32 1/4 (.f32 (*.f32 u0 1/3) 1/2)))))
(/.f32 (+.f32 (pow.f32 (.f32 u0 1/3) 3) 1/8) (.f32 (cbrt.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) (-.f32 1/4 (.f32 u0 1/6)))) (.f32 (cbrt.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) (-.f32 1/4 (.f32 u0 1/6)))) (cbrt.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) (-.f32 1/4 (.f32 u0 1/6)))))))
(/.f32 (+.f32 (.f32 (pow.f32 u0 3) 1/27) 1/8) (.f32 (cbrt.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) (+.f32 1/4 (.f32 u0 -1/6)))) (.f32 (cbrt.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) (+.f32 1/4 (.f32 u0 -1/6)))) (cbrt.f32 (+.f32 (.f32 u0 (.f32 1/9 u0)) (+.f32 1/4 (.f32 u0 -1/6)))))))
(pow.f32 (fma.f32 u0 1/3 1/2) 1)
(fma.f32 u0 1/3 1/2)
(pow.f32 (sqrt.f32 (fma.f32 u0 1/3 1/2)) 2)
(fma.f32 u0 1/3 1/2)
(pow.f32 (cbrt.f32 (fma.f32 u0 1/3 1/2)) 3)
(fma.f32 u0 1/3 1/2)
(pow.f32 (.f32 (.f32 (fma.f32 u0 1/3 1/2) (fma.f32 u0 1/3 1/2)) (fma.f32 u0 1/3 1/2)) 1/3)
(cbrt.f32 (.f32 (fma.f32 u0 1/3 1/2) (.f32 (fma.f32 u0 1/3 1/2) (fma.f32 u0 1/3 1/2))))
(cbrt.f32 (*.f32 (fma.f32 u0 1/3 1/2) (pow.f32 (fma.f32 u0 1/3 1/2) 2)))
(sqrt.f32 (*.f32 (fma.f32 u0 1/3 1/2) (fma.f32 u0 1/3 1/2)))
(fabs.f32 (fma.f32 u0 1/3 1/2))
(log.f32 (exp.f32 (fma.f32 u0 1/3 1/2)))
(fma.f32 u0 1/3 1/2)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 u0 1/3 1/2))))
(fma.f32 u0 1/3 1/2)
(cbrt.f32 (.f32 (.f32 (fma.f32 u0 1/3 1/2) (fma.f32 u0 1/3 1/2)) (fma.f32 u0 1/3 1/2)))
(cbrt.f32 (.f32 (fma.f32 u0 1/3 1/2) (.f32 (fma.f32 u0 1/3 1/2) (fma.f32 u0 1/3 1/2))))
(cbrt.f32 (*.f32 (fma.f32 u0 1/3 1/2) (pow.f32 (fma.f32 u0 1/3 1/2) 2)))
(expm1.f32 (log1p.f32 (fma.f32 u0 1/3 1/2)))
(fma.f32 u0 1/3 1/2)
(exp.f32 (log.f32 (fma.f32 u0 1/3 1/2)))
(fma.f32 u0 1/3 1/2)
(exp.f32 (*.f32 (log.f32 (fma.f32 u0 1/3 1/2)) 1))
(fma.f32 u0 1/3 1/2)
(log1p.f32 (expm1.f32 (fma.f32 u0 1/3 1/2)))
(fma.f32 u0 1/3 1/2)
(fma.f32 u0 1/3 1/2)
(fma.f32 1/3 u0 1/2)
(fma.f32 u0 1/3 1/2)
(fma.f32 1 (*.f32 u0 1/3) 1/2)
(fma.f32 u0 1/3 1/2)
(fma.f32 (sqrt.f32 (.f32 u0 1/3)) (sqrt.f32 (.f32 u0 1/3)) 1/2)
(+.f32 (pow.f32 (sqrt.f32 (*.f32 u0 1/3)) 2) 1/2)
(+.f32 1/2 (pow.f32 (sqrt.f32 (*.f32 u0 1/3)) 2))
(fma.f32 (.f32 (cbrt.f32 (.f32 u0 1/3)) (cbrt.f32 (.f32 u0 1/3))) (cbrt.f32 (.f32 u0 1/3)) 1/2)
(fma.f32 u0 1/3 1/2)

localize50.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f32 (-.f32 1 u0))
✓	0.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
✓	13.9b	(log.f32 (sqrt.f32 (-.f32 1 u0)))

Compiler

Compiled 43 to 28 computations (34.9% saved)

series15.0ms (0.1%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	alpha	@	0	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
1.0ms	u0	@	inf	(log.f32 (sqrt.f32 (-.f32 1 u0)))
1.0ms	u0	@	inf	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
0.0ms	u0	@	-inf	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
0.0ms	alpha	@	inf	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`*-commutative`
838×	`unswap-sqr`
680×	`swap-sqr`
504×	`distribute-lft-in`
476×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	283	47
2	3530	47

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

Inputs
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(sqrt.f32 (-.f32 1 u0))

Outputs

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(cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u0)))) (*.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 1 (pow.f32 u0 3))) (sqrt.f32 (+.f32 1 (+.f32 (*.f32 u0 u0) u0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 1 (*.f32 u0 u0))) (sqrt.f32 (+.f32 1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (sqrt.f32 (-.f32 1 (pow.f32 u0 3)))) (sqrt.f32 (+.f32 1 (+.f32 (*.f32 u0 u0) u0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (sqrt.f32 (-.f32 1 (*.f32 u0 u0)))) (sqrt.f32 (+.f32 1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (cbrt.f32 (-.f32 1 (pow.f32 u0 3)))) (cbrt.f32 (+.f32 1 (+.f32 (*.f32 u0 u0) u0))))))) (#(struct:change 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1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 1 u0) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 1 u0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (-.f32 1 u0) (sqrt.f32 (-.f32 1 u0))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (*.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (-.f32 1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (-.f32 1 u0) (sqrt.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u0))))))))

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1212×	`associate-/l*`
956×	`associate-/r*`
828×	`associate-+r+`
818×	`associate-r`
742×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	4534
1	731	4052
2	3415	3894

Stop Event

1×	node limit

Counts

136 → 193

Calls

Call 1

Inputs
(*.f32 -1/2 u0)
(+.f32 (.f32 -1/2 u0) (.f32 -1/4 (pow.f32 u0 2)))
(+.f32 (.f32 -1/6 (pow.f32 u0 3)) (+.f32 (.f32 -1/2 u0) (*.f32 -1/4 (pow.f32 u0 2))))
(+.f32 (.f32 -1/6 (pow.f32 u0 3)) (+.f32 (.f32 -1/2 u0) (+.f32 (.f32 -1/4 (pow.f32 u0 2)) (.f32 -1/8 (pow.f32 u0 4)))))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(*.f32 u0 (pow.f32 alpha 2))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
1
(+.f32 1 (*.f32 -1/2 u0))
(+.f32 (.f32 -1/8 (pow.f32 u0 2)) (+.f32 1 (.f32 -1/2 u0)))
(+.f32 (.f32 -1/8 (pow.f32 u0 2)) (+.f32 1 (+.f32 (.f32 -1/2 u0) (*.f32 -1/16 (pow.f32 u0 3)))))
(+.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 0)
(+.f32 0 (log.f32 (sqrt.f32 (-.f32 1 u0))))
(+.f32 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0))))
(+.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))) (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))))
(+.f32 (+.f32 0 (log.f32 (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))))
(+.f32 (.f32 1 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 1 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(+.f32 (.f32 1 (log.f32 (cbrt.f32 (-.f32 1 u0)))) (.f32 1 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(+.f32 (.f32 1/2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 1/2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(+.f32 (.f32 1/2 (log.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0))))) (*.f32 1/2 (log.f32 (cbrt.f32 (-.f32 1 u0)))))
(+.f32 (.f32 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) 1) (.f32 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) 1))
(+.f32 (.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) 1) (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) 1))
(+.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 1/2) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 1/2))
(+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))) 1/2) (*.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) 1/2))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) 1)
(*.f32 1 (log.f32 (sqrt.f32 (-.f32 1 u0))))
(*.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 1)
(*.f32 2 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))))
(.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 2) 1/2)
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))))
(.f32 (.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(.f32 1/2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 2))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (*.f32 (sqrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (sqrt.f32 (.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))))) (.f32 (cbrt.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (sqrt.f32 (*.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))))))
(.f32 (.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (sqrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) (*.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (sqrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(.f32 (.f32 (sqrt.f32 (.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) (cbrt.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) (.f32 (sqrt.f32 (*.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) (cbrt.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(pow.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 1)
(pow.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) 2)
(pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) 3)
(pow.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (log.f32 (sqrt.f32 (-.f32 1 u0)))) (log.f32 (sqrt.f32 (-.f32 1 u0)))) 1/3)
(sqrt.f32 (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(cbrt.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (log.f32 (sqrt.f32 (-.f32 1 u0)))) (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(expm1.f32 (log1p.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(exp.f32 (log.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(log1p.f32 (expm1.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(+.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 alpha (neg.f32 alpha))) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 alpha (neg.f32 alpha))))
(+.f32 (.f32 0 (.f32 alpha (neg.f32 alpha))) (.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(+.f32 (.f32 (.f32 alpha (neg.f32 alpha)) 0) (.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(+.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0))))) (.f32 (*.f32 alpha (neg.f32 alpha)) (log.f32 (cbrt.f32 (-.f32 1 u0)))))
(+.f32 (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) 2) 0) (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(+.f32 (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(+.f32 (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) 2) (log.f32 (cbrt.f32 (-.f32 1 u0)))) (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) 2) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(+.f32 (.f32 (.f32 alpha (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 2)) 0) (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))) (.f32 alpha (neg.f32 alpha))) (.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) (*.f32 alpha (neg.f32 alpha))))
(+.f32 (.f32 0 (.f32 (.f32 alpha (neg.f32 alpha)) 2)) (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(+.f32 (.f32 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 alpha (neg.f32 alpha)) 2)) (.f32 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 alpha (neg.f32 alpha)) 2)))
(+.f32 (.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) (.f32 (.f32 alpha (neg.f32 alpha)) 2)) (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 alpha (neg.f32 alpha)) 2)))
(+.f32 (.f32 0 (.f32 alpha (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 2))) (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0)))))) 1)
(/.f32 (.f32 (.f32 alpha (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 2)) (.f32 alpha (neg.f32 alpha))) alpha)
(/.f32 (.f32 (.f32 alpha (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 2)) (+.f32 0 (.f32 (.f32 alpha alpha) alpha))) (.f32 alpha (neg.f32 alpha)))
(/.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 alpha (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 2))) alpha)
(/.f32 (.f32 (+.f32 0 (.f32 (.f32 alpha alpha) alpha)) (.f32 alpha (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 2))) (.f32 alpha (neg.f32 alpha)))
(pow.f32 (.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0)))) 1)
(pow.f32 (sqrt.f32 (.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0))))) 2)
(pow.f32 (cbrt.f32 (.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0))))) 3)
(pow.f32 (.f32 (.f32 (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0))))) 1/3)
(neg.f32 (.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(sqrt.f32 (.f32 (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0))))))
(log.f32 (exp.f32 (.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(cbrt.f32 (.f32 (.f32 (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0))))))
(cbrt.f32 (.f32 (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 alpha (neg.f32 alpha))) (.f32 alpha (neg.f32 alpha))) (.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 2) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 2)) (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 2))))
(expm1.f32 (log1p.f32 (.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0))))))
(exp.f32 (log.f32 (.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0))))))
(log1p.f32 (expm1.f32 (.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) 2) (log.f32 (sqrt.f32 (-.f32 1 u0))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u0)))) 1)
(*.f32 1 (sqrt.f32 (-.f32 1 u0)))
(*.f32 (sqrt.f32 (-.f32 1 u0)) 1)
(*.f32 (sqrt.f32 (-.f32 1 u0)) (pow.f32 1 1/2))
(*.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))) (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))
(*.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (sqrt.f32 (-.f32 1 u0))))
(*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (cbrt.f32 (-.f32 1 u0)))
(.f32 (sqrt.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u0))))
(.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u0))) (sqrt.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 u0)))
(.f32 (pow.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0))) 1/2) (pow.f32 (cbrt.f32 (-.f32 1 u0)) 1/2))
(.f32 (pow.f32 (cbrt.f32 (-.f32 1 u0)) 1/2) (pow.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0))) 1/2))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u0))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))) (*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u0))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u0)))) (*.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u0)))))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u0 3))) (sqrt.f32 (+.f32 1 (+.f32 (*.f32 u0 u0) u0))))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u0 u0))) (sqrt.f32 (+.f32 1 u0)))
(/.f32 (.f32 1 (sqrt.f32 (-.f32 1 (pow.f32 u0 3)))) (sqrt.f32 (+.f32 1 (+.f32 (.f32 u0 u0) u0))))
(/.f32 (.f32 1 (sqrt.f32 (-.f32 1 (.f32 u0 u0)))) (sqrt.f32 (+.f32 1 u0)))
(/.f32 (.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (cbrt.f32 (-.f32 1 (pow.f32 u0 3)))) (cbrt.f32 (+.f32 1 (+.f32 (.f32 u0 u0) u0))))
(/.f32 (.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (cbrt.f32 (-.f32 1 (.f32 u0 u0)))) (cbrt.f32 (+.f32 1 u0)))
(/.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 (pow.f32 u0 3)))) (sqrt.f32 (+.f32 1 (+.f32 (.f32 u0 u0) u0))))
(/.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 (.f32 u0 u0)))) (sqrt.f32 (+.f32 1 u0)))
(/.f32 (.f32 (sqrt.f32 (-.f32 1 (pow.f32 u0 3))) 1) (sqrt.f32 (+.f32 1 (+.f32 (.f32 u0 u0) u0))))
(/.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 u0 u0))) 1) (sqrt.f32 (+.f32 1 u0)))
(/.f32 (.f32 (cbrt.f32 (-.f32 1 (pow.f32 u0 3))) (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (+.f32 1 (+.f32 (.f32 u0 u0) u0))))
(/.f32 (.f32 (cbrt.f32 (-.f32 1 (.f32 u0 u0))) (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (+.f32 1 u0)))
(pow.f32 (-.f32 1 u0) 1/2)
(pow.f32 (sqrt.f32 (-.f32 1 u0)) 1)
(pow.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) 3)
(pow.f32 (*.f32 (-.f32 1 u0) (sqrt.f32 (-.f32 1 u0))) 1/3)
(pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (-.f32 1 u0))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(pow.f32 (exp.f32 (*.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(fabs.f32 (sqrt.f32 (-.f32 1 u0)))
(log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u0))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 1 u0)))))
(cbrt.f32 (*.f32 (-.f32 1 u0) (sqrt.f32 (-.f32 1 u0))))
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u0))))
(exp.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u0))))

Outputs
(*.f32 -1/2 u0)
(+.f32 (.f32 -1/2 u0) (.f32 -1/4 (pow.f32 u0 2)))
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(fma.f32 -1/2 u0 (.f32 u0 (.f32 u0 -1/4)))
(.f32 u0 (+.f32 -1/2 (.f32 -1/4 u0)))
(+.f32 (.f32 -1/6 (pow.f32 u0 3)) (+.f32 (.f32 -1/2 u0) (*.f32 -1/4 (pow.f32 u0 2))))
(fma.f32 -1/6 (pow.f32 u0 3) (fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0))))
(fma.f32 -1/6 (pow.f32 u0 3) (fma.f32 -1/2 u0 (.f32 u0 (.f32 u0 -1/4))))
(fma.f32 -1/6 (pow.f32 u0 3) (.f32 u0 (+.f32 -1/2 (.f32 -1/4 u0))))
(+.f32 (.f32 -1/6 (pow.f32 u0 3)) (+.f32 (.f32 -1/2 u0) (+.f32 (.f32 -1/4 (pow.f32 u0 2)) (.f32 -1/8 (pow.f32 u0 4)))))
(fma.f32 -1/6 (pow.f32 u0 3) (fma.f32 -1/2 u0 (fma.f32 -1/4 (.f32 u0 u0) (.f32 -1/8 (pow.f32 u0 4)))))
(fma.f32 -1/6 (pow.f32 u0 3) (fma.f32 -1/2 u0 (fma.f32 -1/8 (pow.f32 u0 4) (.f32 (.f32 -1/4 u0) u0))))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 -2 (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 -2 (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 -2 (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 -2 (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 -2 (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 -2 (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 -2 (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 -2 (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 -2 (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 -2 (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 -2 (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 -2 (*.f32 alpha alpha)))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) 1/2)))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 (pow.f32 u0 3) (.f32 alpha alpha)) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha)))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) 1/2) (.f32 (pow.f32 u0 3) 1/3))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 1/3 u0)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(fma.f32 1/4 (.f32 (pow.f32 u0 4) (.f32 alpha alpha)) (fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 (pow.f32 u0 3) (.f32 alpha alpha)) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha))))))
(+.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) 1/2) (.f32 (pow.f32 u0 3) 1/3))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 (pow.f32 u0 4) 1/4) u0)))
(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0))) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))
1
(+.f32 1 (*.f32 -1/2 u0))
(+.f32 (*.f32 -1/2 u0) 1)
(fma.f32 -1/2 u0 1)
(+.f32 (.f32 -1/8 (pow.f32 u0 2)) (+.f32 1 (.f32 -1/2 u0)))
(fma.f32 -1/8 (.f32 u0 u0) (+.f32 (.f32 -1/2 u0) 1))
(fma.f32 (*.f32 u0 u0) -1/8 (fma.f32 -1/2 u0 1))
(+.f32 (.f32 -1/8 (pow.f32 u0 2)) (+.f32 1 (+.f32 (.f32 -1/2 u0) (*.f32 -1/16 (pow.f32 u0 3)))))
(fma.f32 -1/8 (.f32 u0 u0) (+.f32 1 (fma.f32 -1/2 u0 (.f32 (pow.f32 u0 3) -1/16))))
(+.f32 (fma.f32 (.f32 u0 u0) -1/8 (fma.f32 -1/2 u0 1)) (.f32 (pow.f32 u0 3) -1/16))
(+.f32 (fma.f32 -1/2 u0 1) (.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 -1/16) -1/8)))
(+.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 0)
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(+.f32 0 (log.f32 (sqrt.f32 (-.f32 1 u0))))
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(+.f32 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))))
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0))))
(+.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))) (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))))
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(+.f32 (+.f32 0 (log.f32 (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0))))
(+.f32 (.f32 1 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 1 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(+.f32 (.f32 1 (log.f32 (cbrt.f32 (-.f32 1 u0)))) (.f32 1 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0))))
(+.f32 (.f32 1/2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 1/2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(+.f32 (.f32 1/2 (log.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0))))) (*.f32 1/2 (log.f32 (cbrt.f32 (-.f32 1 u0)))))
(.f32 1/2 (+.f32 (log.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0)))))
(.f32 1/2 (+.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) (.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u0))))))
(.f32 1/2 (.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u0)))))
(+.f32 (.f32 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) 1) (.f32 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) 1))
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(+.f32 (.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) 1) (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) 1))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0))))
(+.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 1/2) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 1/2))
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))) 1/2) (*.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) 1/2))
(.f32 1/2 (+.f32 (log.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0)))))
(.f32 1/2 (+.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) (.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u0))))))
(.f32 1/2 (.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u0)))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) 1)
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) 1)
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(*.f32 1 (log.f32 (sqrt.f32 (-.f32 1 u0))))
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(*.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 1)
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(*.f32 2 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))))
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 2) 1/2)
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))))
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(.f32 (.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(.f32 1/2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 2))
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (*.f32 (sqrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))))
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (sqrt.f32 (.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))))) (.f32 (cbrt.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (sqrt.f32 (*.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))))))
(.f32 (fabs.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 (cbrt.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (fabs.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))))))
(.f32 (.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (cbrt.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(.f32 (.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (sqrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) (*.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (sqrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(log.f32 (sqrt.f32 (-.f32 1 u0)))
(.f32 (.f32 (sqrt.f32 (.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) (cbrt.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) (.f32 (sqrt.f32 (*.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) (cbrt.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
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(log.f32 (sqrt.f32 (-.f32 1 u0)))
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(.f32 (sqrt.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u0))))
(*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u0))) (fabs.f32 (cbrt.f32 (-.f32 1 u0))))
(.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u0))) (sqrt.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))))
(*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u0))) (fabs.f32 (cbrt.f32 (-.f32 1 u0))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 u0)))
(sqrt.f32 (-.f32 1 u0))
(.f32 (pow.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0))) 1/2) (pow.f32 (cbrt.f32 (-.f32 1 u0)) 1/2))
(*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u0))) (fabs.f32 (cbrt.f32 (-.f32 1 u0))))
(.f32 (pow.f32 (cbrt.f32 (-.f32 1 u0)) 1/2) (pow.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0))) 1/2))
(*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u0))) (fabs.f32 (cbrt.f32 (-.f32 1 u0))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(sqrt.f32 (-.f32 1 u0))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u0))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))) (*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u0))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u0))) (*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u0))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))))))
(.f32 (cbrt.f32 (-.f32 1 u0)) (.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))))
(sqrt.f32 (-.f32 1 u0))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u0)))) (*.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u0)))))
(.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u0))) (*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u0))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))))))
(.f32 (cbrt.f32 (-.f32 1 u0)) (.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u0 3))) (sqrt.f32 (+.f32 1 (+.f32 (*.f32 u0 u0) u0))))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u0 3))) (sqrt.f32 (+.f32 1 (fma.f32 u0 u0 u0))))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u0 u0))) (sqrt.f32 (+.f32 1 u0)))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u0 u0))) (sqrt.f32 (+.f32 u0 1)))
(/.f32 (.f32 1 (sqrt.f32 (-.f32 1 (pow.f32 u0 3)))) (sqrt.f32 (+.f32 1 (+.f32 (.f32 u0 u0) u0))))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u0 3))) (sqrt.f32 (+.f32 1 (fma.f32 u0 u0 u0))))
(/.f32 (.f32 1 (sqrt.f32 (-.f32 1 (.f32 u0 u0)))) (sqrt.f32 (+.f32 1 u0)))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u0 u0))) (sqrt.f32 (+.f32 u0 1)))
(/.f32 (.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (cbrt.f32 (-.f32 1 (pow.f32 u0 3)))) (cbrt.f32 (+.f32 1 (+.f32 (.f32 u0 u0) u0))))
(/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (/.f32 (cbrt.f32 (+.f32 1 (fma.f32 u0 u0 u0))) (cbrt.f32 (-.f32 1 (pow.f32 u0 3)))))
(*.f32 (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (cbrt.f32 (+.f32 1 (fma.f32 u0 u0 u0)))) (cbrt.f32 (-.f32 1 (pow.f32 u0 3))))
(/.f32 (.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (cbrt.f32 (-.f32 1 (.f32 u0 u0)))) (cbrt.f32 (+.f32 1 u0)))
(/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (/.f32 (cbrt.f32 (+.f32 u0 1)) (cbrt.f32 (-.f32 1 (*.f32 u0 u0)))))
(.f32 (/.f32 (cbrt.f32 (-.f32 1 (.f32 u0 u0))) (cbrt.f32 (+.f32 u0 1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u0))))
(.f32 (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (cbrt.f32 (+.f32 u0 1))) (cbrt.f32 (-.f32 1 (.f32 u0 u0))))
(/.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 (pow.f32 u0 3)))) (sqrt.f32 (+.f32 1 (+.f32 (.f32 u0 u0) u0))))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u0 3))) (sqrt.f32 (+.f32 1 (fma.f32 u0 u0 u0))))
(/.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 (.f32 u0 u0)))) (sqrt.f32 (+.f32 1 u0)))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u0 u0))) (sqrt.f32 (+.f32 u0 1)))
(/.f32 (.f32 (sqrt.f32 (-.f32 1 (pow.f32 u0 3))) 1) (sqrt.f32 (+.f32 1 (+.f32 (.f32 u0 u0) u0))))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u0 3))) (sqrt.f32 (+.f32 1 (fma.f32 u0 u0 u0))))
(/.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 u0 u0))) 1) (sqrt.f32 (+.f32 1 u0)))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u0 u0))) (sqrt.f32 (+.f32 u0 1)))
(/.f32 (.f32 (cbrt.f32 (-.f32 1 (pow.f32 u0 3))) (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (+.f32 1 (+.f32 (.f32 u0 u0) u0))))
(/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (/.f32 (cbrt.f32 (+.f32 1 (fma.f32 u0 u0 u0))) (cbrt.f32 (-.f32 1 (pow.f32 u0 3)))))
(*.f32 (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (cbrt.f32 (+.f32 1 (fma.f32 u0 u0 u0)))) (cbrt.f32 (-.f32 1 (pow.f32 u0 3))))
(/.f32 (.f32 (cbrt.f32 (-.f32 1 (.f32 u0 u0))) (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (+.f32 1 u0)))
(/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (/.f32 (cbrt.f32 (+.f32 u0 1)) (cbrt.f32 (-.f32 1 (*.f32 u0 u0)))))
(.f32 (/.f32 (cbrt.f32 (-.f32 1 (.f32 u0 u0))) (cbrt.f32 (+.f32 u0 1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u0))))
(.f32 (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) (cbrt.f32 (+.f32 u0 1))) (cbrt.f32 (-.f32 1 (.f32 u0 u0))))
(pow.f32 (-.f32 1 u0) 1/2)
(sqrt.f32 (-.f32 1 u0))
(pow.f32 (sqrt.f32 (-.f32 1 u0)) 1)
(sqrt.f32 (-.f32 1 u0))
(pow.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))) 2)
(sqrt.f32 (-.f32 1 u0))
(pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))) 3)
(sqrt.f32 (-.f32 1 u0))
(pow.f32 (*.f32 (-.f32 1 u0) (sqrt.f32 (-.f32 1 u0))) 1/3)
(cbrt.f32 (*.f32 (-.f32 1 u0) (sqrt.f32 (-.f32 1 u0))))
(cbrt.f32 (pow.f32 (-.f32 1 u0) 3/2))
(pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (-.f32 1 u0))))
(sqrt.f32 (-.f32 1 u0))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(sqrt.f32 (-.f32 1 u0))
(pow.f32 (exp.f32 (*.f32 (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) (cbrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(sqrt.f32 (-.f32 1 u0))
(fabs.f32 (sqrt.f32 (-.f32 1 u0)))
(sqrt.f32 (-.f32 1 u0))
(log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u0))))
(sqrt.f32 (-.f32 1 u0))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 1 u0)))))
(sqrt.f32 (-.f32 1 u0))
(cbrt.f32 (*.f32 (-.f32 1 u0) (sqrt.f32 (-.f32 1 u0))))
(cbrt.f32 (pow.f32 (-.f32 1 u0) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u0))))
(sqrt.f32 (-.f32 1 u0))
(exp.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))))
(sqrt.f32 (-.f32 1 u0))
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u0))))
(sqrt.f32 (-.f32 1 u0))

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))
	0.2b	(*.f32 alpha (log1p.f32 (neg.f32 u0)))
	0.2b	(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
✓	2.3b	(exp.f32 (log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))

Compiler

Compiled 43 to 9 computations (79.1% saved)

series33.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	u0	@	inf	(log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))
10.0ms	alpha	@	0	(log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))
8.0ms	alpha	@	inf	(log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))
1.0ms	u0	@	-inf	(log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))
0.0ms	u0	@	0	(log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1726×	`add-sqr-sqrt`
1714×	`*-un-lft-identity`
1586×	`add-cube-cbrt`
1560×	`add-cbrt-cube`
216×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	233	38
2	2809	38

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(exp.f32 (log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 alpha (*.f32 alpha (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 alpha (neg.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (*.f32 (sqrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (sqrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 alpha) (*.f32 (sqrt.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))))) (*.f32 (cbrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (*.f32 (cbrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (cbrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 alpha) (cbrt.f32 alpha)) (*.f32 (cbrt.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 alpha alpha) 1) (log1p.f32 (neg.f32 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 alpha (sqrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))))) (sqrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 alpha (*.f32 (cbrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))) (cbrt.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (sqrt.f32 alpha)) (sqrt.f32 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (*.f32 (cbrt.f32 alpha) (cbrt.f32 alpha))) (cbrt.f32 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) -1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 alpha alpha) (sqrt.f32 (log1p.f32 (neg.f32 u0)))) (sqrt.f32 (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (cbrt.f32 (log1p.f32 (neg.f32 u0))))) (cbrt.f32 (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))) (sqrt.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (*.f32 (cbrt.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (cbrt.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))) (cbrt.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (neg.f32 alpha)) (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (log.f32 (neg.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (log.f32 (sqrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 alpha alpha)) (log.f32 (log1p.f32 (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))) (log.f32 (cbrt.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (neg.f32 alpha)) 1) (*.f32 (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (sqrt.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (*.f32 (cbrt.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (cbrt.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (cbrt.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))) (cbrt.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (log.f32 (neg.f32 alpha)) (log.f32 (neg.f32 alpha))) (*.f32 (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))) (-.f32 (log.f32 (neg.f32 alpha)) (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (log.f32 (neg.f32 alpha)) 3) (pow.f32 (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) 3)) (+.f32 (*.f32 (log.f32 (neg.f32 alpha)) (log.f32 (neg.f32 alpha))) (-.f32 (*.f32 (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))))) (*.f32 (log.f32 (neg.f32 alpha)) (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (log.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))))))

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1038×	`*-commutative`
1034×	`distribute-lft-in`
952×	`distribute-rgt-in`
596×	`+-commutative`
592×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	5022
1	707	4338
2	2830	4254

Stop Event

1×	node limit

Counts

112 → 187

Calls

Call 1

Inputs
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(*.f32 u0 (pow.f32 alpha 2))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))))
(*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0)))
(+.f32 (*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (/.f32 (pow.f32 alpha 2) u0))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2)))))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (*.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))))))
(+.f32 (.f32 2 (log.f32 alpha)) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(+.f32 (.f32 2 (log.f32 alpha)) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(+.f32 (.f32 2 (log.f32 alpha)) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(+.f32 (.f32 2 (log.f32 alpha)) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(+.f32 (.f32 -2 (log.f32 (/.f32 1 alpha))) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(+.f32 (.f32 -2 (log.f32 (/.f32 1 alpha))) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(+.f32 (.f32 -2 (log.f32 (/.f32 1 alpha))) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(+.f32 (.f32 -2 (log.f32 (/.f32 1 alpha))) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(+.f32 (.f32 -2 (log.f32 (/.f32 -1 alpha))) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(+.f32 (.f32 -2 (log.f32 (/.f32 -1 alpha))) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(+.f32 (.f32 -2 (log.f32 (/.f32 -1 alpha))) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(+.f32 (.f32 -2 (log.f32 (/.f32 -1 alpha))) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(+.f32 (log.f32 u0) (log.f32 (pow.f32 alpha 2)))
(+.f32 (*.f32 1/2 u0) (+.f32 (log.f32 u0) (log.f32 (pow.f32 alpha 2))))
(+.f32 (.f32 1/2 u0) (+.f32 (.f32 5/24 (pow.f32 u0 2)) (+.f32 (log.f32 u0) (log.f32 (pow.f32 alpha 2)))))
(+.f32 (.f32 1/8 (pow.f32 u0 3)) (+.f32 (.f32 1/2 u0) (+.f32 (*.f32 5/24 (pow.f32 u0 2)) (+.f32 (log.f32 u0) (log.f32 (pow.f32 alpha 2))))))
(log.f32 (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))
(-.f32 (log.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))) (/.f32 1 (.f32 u0 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)))))
(-.f32 (+.f32 (log.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))) (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)))) (pow.f32 u0 2)))) (/.f32 1 (.f32 u0 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)))))
(-.f32 (+.f32 (log.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) 3))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) 2))))) (pow.f32 u0 3))) (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)))) (pow.f32 u0 2))))) (/.f32 1 (.f32 u0 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)))))
(log.f32 (*.f32 (log.f32 (/.f32 -1 u0)) (pow.f32 alpha 2)))
(+.f32 (log.f32 (.f32 (log.f32 (/.f32 -1 u0)) (pow.f32 alpha 2))) (/.f32 1 (.f32 u0 (log.f32 (/.f32 -1 u0)))))
(+.f32 (log.f32 (.f32 (log.f32 (/.f32 -1 u0)) (pow.f32 alpha 2))) (+.f32 (/.f32 1 (.f32 u0 (log.f32 (/.f32 -1 u0)))) (*.f32 1/2 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 -1 u0))) (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u0)) 2))) (pow.f32 u0 2)))))
(+.f32 (log.f32 (.f32 (log.f32 (/.f32 -1 u0)) (pow.f32 alpha 2))) (+.f32 (/.f32 1 (.f32 u0 (log.f32 (/.f32 -1 u0)))) (+.f32 (.f32 -1/6 (/.f32 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u0)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 -1 u0)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u0)) 3))))) (pow.f32 u0 3))) (*.f32 1/2 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 -1 u0))) (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u0)) 2))) (pow.f32 u0 2))))))
(-.f32 0 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) 1)
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(.f32 alpha (neg.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha alpha))
(.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) alpha)
(.f32 (.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) 1)
(.f32 1 (.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))
(.f32 (sqrt.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (sqrt.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) alpha))
(.f32 (sqrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (sqrt.f32 (.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))
(.f32 (sqrt.f32 alpha) (.f32 (sqrt.f32 alpha) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(.f32 (.f32 (cbrt.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))))) (.f32 (cbrt.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) alpha))
(.f32 (cbrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (.f32 (cbrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(.f32 (.f32 (cbrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (cbrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))
(.f32 (.f32 (cbrt.f32 alpha) (cbrt.f32 alpha)) (.f32 (cbrt.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0)))
(.f32 -1 (.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))
(.f32 (.f32 (*.f32 alpha alpha) 1) (log1p.f32 (neg.f32 u0)))
(.f32 (.f32 alpha (sqrt.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))))) (sqrt.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(.f32 (.f32 alpha (.f32 (cbrt.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))))) (cbrt.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(.f32 (.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (sqrt.f32 alpha)) (sqrt.f32 alpha))
(.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 (cbrt.f32 alpha) (cbrt.f32 alpha))) (cbrt.f32 alpha))
(.f32 (.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) -1) alpha)
(.f32 (.f32 (*.f32 alpha alpha) (sqrt.f32 (log1p.f32 (neg.f32 u0)))) (sqrt.f32 (log1p.f32 (neg.f32 u0))))
(.f32 (.f32 (.f32 alpha alpha) (.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (cbrt.f32 (log1p.f32 (neg.f32 u0))))) (cbrt.f32 (log1p.f32 (neg.f32 u0))))
(pow.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) 1)
(pow.f32 (sqrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) 2)
(pow.f32 (cbrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) 3)
(pow.f32 (.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) 1/3)
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))) (sqrt.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(pow.f32 (exp.f32 (.f32 (cbrt.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (cbrt.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))) (cbrt.f32 (log.f32 (.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(pow.f32 (exp.f32 1) (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))
(neg.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))
(sqrt.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) (.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))
(log.f32 (exp.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(cbrt.f32 (.f32 (.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))) (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))
(expm1.f32 (log1p.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))
(log1p.f32 (expm1.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))
(+.f32 (log.f32 (neg.f32 alpha)) (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(+.f32 (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) (log.f32 (neg.f32 alpha)))
(+.f32 0 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))
(+.f32 (log.f32 (sqrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (log.f32 (sqrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(+.f32 (log.f32 (*.f32 alpha alpha)) (log.f32 (log1p.f32 (neg.f32 u0))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))) (log.f32 (cbrt.f32 (.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(+.f32 (.f32 (log.f32 (neg.f32 alpha)) 1) (.f32 (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0)))) 1))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))) 1)
(.f32 (log.f32 (.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) 1)
(.f32 1 (log.f32 (.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))
(.f32 (sqrt.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (sqrt.f32 (log.f32 (.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(.f32 (cbrt.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (.f32 (cbrt.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (cbrt.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))))
(.f32 (.f32 (cbrt.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (cbrt.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))))) (cbrt.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(/.f32 (-.f32 (.f32 (log.f32 (neg.f32 alpha)) (log.f32 (neg.f32 alpha))) (.f32 (log.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) (log.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))))) (-.f32 (log.f32 (neg.f32 alpha)) (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))))))
(/.f32 (+.f32 (pow.f32 (log.f32 (neg.f32 alpha)) 3) (pow.f32 (log.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) 3)) (+.f32 (.f32 (log.f32 (neg.f32 alpha)) (log.f32 (neg.f32 alpha))) (-.f32 (.f32 (log.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) (log.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))))) (.f32 (log.f32 (neg.f32 alpha)) (log.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))))))))
(pow.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) 1)
(pow.f32 (sqrt.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) 2)
(pow.f32 (cbrt.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) 3)
(pow.f32 (.f32 (.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) 1/3)
(sqrt.f32 (.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (log.f32 (.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(cbrt.f32 (.f32 (.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(expm1.f32 (log1p.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(exp.f32 (log.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(exp.f32 (.f32 (log.f32 (log.f32 (.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) 1))
(log1p.f32 (expm1.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))

Outputs
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (log.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log.f32 (-.f32 1 u0))))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) u0)
(.f32 alpha (.f32 alpha u0))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 alpha alpha) (*.f32 u0 u0))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 u0 (.f32 u0 1/2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (.f32 1/2 (.f32 (.f32 alpha alpha) (*.f32 u0 u0)))))
(fma.f32 (.f32 alpha alpha) u0 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/3 (pow.f32 u0 3)))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(fma.f32 1/4 (.f32 (.f32 alpha alpha) (pow.f32 u0 4)) (fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (.f32 1/2 (.f32 (.f32 alpha alpha) (*.f32 u0 u0))))))
(+.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/3 (pow.f32 u0 3)))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) u0)))
(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))) (+.f32 u0 (.f32 1/4 (pow.f32 u0 4)))))
(.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))
(neg.f32 (.f32 (.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1))))
(.f32 (+.f32 (log.f32 -1) (log.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(.f32 (neg.f32 alpha) (.f32 alpha (+.f32 (log.f32 -1) (log.f32 u0))))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))
(+.f32 (neg.f32 (.f32 (.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1)))) (/.f32 (*.f32 alpha alpha) u0))
(-.f32 (/.f32 alpha (/.f32 u0 alpha)) (.f32 alpha (.f32 alpha (+.f32 (log.f32 -1) (log.f32 u0)))))
(fma.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u0))) (.f32 alpha alpha) (.f32 (/.f32 alpha u0) alpha))
(+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2)))))
(+.f32 (/.f32 (.f32 alpha alpha) u0) (fma.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 u0 u0)) (neg.f32 (.f32 (*.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1))))))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (/.f32 alpha (/.f32 u0 alpha))) (.f32 alpha (*.f32 alpha (+.f32 (log.f32 -1) (log.f32 u0)))))
(-.f32 (.f32 (+.f32 (/.f32 1/2 u0) 1) (.f32 (/.f32 alpha u0) alpha)) (.f32 alpha (.f32 alpha (+.f32 (log.f32 -1) (log.f32 u0)))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (+.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))) (.f32 -1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u0))) (log.f32 -1)) (pow.f32 alpha 2))))))
(fma.f32 1/3 (/.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (+.f32 (/.f32 (.f32 alpha alpha) u0) (fma.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 u0 u0)) (neg.f32 (.f32 (.f32 alpha alpha) (fma.f32 -1 (neg.f32 (log.f32 u0)) (log.f32 -1)))))))
(fma.f32 1/3 (/.f32 alpha (/.f32 (pow.f32 u0 3) alpha)) (-.f32 (fma.f32 1/2 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (/.f32 alpha (/.f32 u0 alpha))) (.f32 alpha (*.f32 alpha (+.f32 (log.f32 -1) (log.f32 u0))))))
(+.f32 (fma.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u0))) (.f32 alpha alpha) (.f32 (/.f32 alpha u0) alpha)) (.f32 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (+.f32 1/2 (/.f32 1/3 u0))))
(*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0)))
(.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)))
(.f32 alpha (.f32 alpha (log.f32 (/.f32 -1 u0))))
(+.f32 (*.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (/.f32 (pow.f32 alpha 2) u0))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (/.f32 (.f32 alpha alpha) u0))
(fma.f32 (*.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (/.f32 alpha (/.f32 u0 alpha)))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (.f32 (/.f32 alpha u0) alpha))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2)))))
(+.f32 (fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (/.f32 (.f32 alpha alpha) u0)) (.f32 1/2 (/.f32 (.f32 alpha alpha) (*.f32 u0 u0))))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (fma.f32 1/2 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (/.f32 alpha (/.f32 u0 alpha))))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (.f32 (+.f32 (/.f32 1/2 u0) 1) (*.f32 (/.f32 alpha u0) alpha)))
(+.f32 (.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 u0))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (*.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))))))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (fma.f32 1/3 (/.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (+.f32 (/.f32 (.f32 alpha alpha) u0) (.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 u0 u0))))))
(fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (fma.f32 1/3 (/.f32 alpha (/.f32 (pow.f32 u0 3) alpha)) (fma.f32 1/2 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (/.f32 alpha (/.f32 u0 alpha)))))
(+.f32 (fma.f32 (.f32 alpha alpha) (log.f32 (/.f32 -1 u0)) (.f32 (/.f32 alpha u0) alpha)) (.f32 (.f32 (/.f32 alpha u0) (/.f32 alpha u0)) (+.f32 1/2 (/.f32 1/3 u0))))
(+.f32 (.f32 2 (log.f32 alpha)) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))))
(log.f32 (.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0))))))
(+.f32 (.f32 2 (log.f32 alpha)) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))))
(log.f32 (.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0))))))
(+.f32 (.f32 2 (log.f32 alpha)) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))))
(log.f32 (.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0))))))
(+.f32 (.f32 2 (log.f32 alpha)) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))))
(log.f32 (.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0))))))
(+.f32 (.f32 -2 (log.f32 (/.f32 1 alpha))) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))))
(log.f32 (.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0))))))
(+.f32 (.f32 -2 (log.f32 (/.f32 1 alpha))) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))))
(log.f32 (.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0))))))
(+.f32 (.f32 -2 (log.f32 (/.f32 1 alpha))) (log.f32 (.f32 -1 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))))
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(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))))
(log.f32 (.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0))))))
(cbrt.f32 (.f32 (.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))) (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(cbrt.f32 (.f32 (log.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))) (.f32 (log.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))) (log.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))))))
(cbrt.f32 (pow.f32 (log.f32 (.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))) 3))
(cbrt.f32 (pow.f32 (log.f32 (.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0)))))) 3))
(expm1.f32 (log1p.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))))
(log.f32 (.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0))))))
(exp.f32 (log.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))))
(log.f32 (.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0))))))
(exp.f32 (.f32 (log.f32 (log.f32 (.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))) 1))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))))
(log.f32 (.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0))))))
(log1p.f32 (expm1.f32 (log.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log.f32 (-.f32 1 u0)))))
(fma.f32 2 (log.f32 alpha) (log.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))))
(log.f32 (.f32 alpha (.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0))))))

eval335.0ms (3.4%)

Compiler: Compiled 24604 to 13915 computations (43.4% saved)

prune217.0ms (2.2%)

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	977	16	993
Fresh	7	10	17
Picked	0	1	1
Done	1	5	6
Total	985	32	1017

Error

Counts

1017 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	2.8b	(fma.f32 (.f32 alpha alpha) u0 (.f32 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2))) (*.f32 alpha alpha)))
	4.4b	(fma.f32 u0 (.f32 alpha alpha) (.f32 (.f32 1/2 (.f32 u0 u0)) (*.f32 alpha alpha)))
	9.1b	(pow.f32 (sqrt.f32 (.f32 alpha (.f32 alpha u0))) 2)
	0.8b	(pow.f32 (cbrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 3)
	9.1b	(pow.f32 (cbrt.f32 (.f32 alpha (.f32 alpha u0))) 3)
	3.1b	(/.f32 (-.f32 (.f32 u0 (.f32 u0 (pow.f32 alpha 4))) (.f32 (.f32 (pow.f32 (fma.f32 u0 1/3 1/2) 2) (pow.f32 u0 4)) (pow.f32 alpha 4))) (.f32 (.f32 alpha alpha) (-.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2))))))
▶	13.8b	(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 alpha (neg.f32 alpha)))
	3.0b	(/.f32 (.f32 (.f32 alpha (-.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2))) (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))) alpha) (-.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
	13.8b	(/.f32 (.f32 (.f32 alpha (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 2)) (.f32 alpha (neg.f32 alpha))) alpha)
	25.7b	(-.f32 (+.f32 1 (.f32 alpha (.f32 alpha u0))) 1)
	2.8b	(+.f32 (.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) (.f32 alpha alpha)) (+.f32 (.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 alpha alpha)) (.f32 (*.f32 alpha alpha) u0)))
	2.2b	(+.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) 1/2) (.f32 (pow.f32 u0 3) 1/3))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 (pow.f32 u0 4) 1/4) u0)))
	0.7b	(.f32 (.f32 (neg.f32 alpha) alpha) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) 3))
▶	0.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
	4.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (.f32 u0 (+.f32 -1 (.f32 u0 -1/2))))
✓	0.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
▶	2.2b	(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 (.f32 u0 1/3) 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))
	4.4b	(.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) u0))
	2.8b	(.f32 (.f32 alpha alpha) (+.f32 u0 (/.f32 (.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4) (.f32 u0 u0)) (-.f32 (.f32 u0 1/3) 1/2))))
	2.8b	(.f32 (.f32 alpha alpha) (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) (.f32 1/2 (*.f32 u0 u0)))))
✓	2.8b	(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))))
▶	9.1b	(.f32 (.f32 alpha alpha) u0)
	4.4b	(.f32 (neg.f32 alpha) (fma.f32 -1 (.f32 u0 alpha) (.f32 -1/2 (.f32 (*.f32 u0 u0) alpha))))
	0.8b	(.f32 (neg.f32 alpha) (pow.f32 (cbrt.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) 3))
▶	2.8b	(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))
	4.4b	(.f32 (neg.f32 alpha) (.f32 alpha (.f32 u0 (+.f32 -1 (.f32 u0 -1/2)))))
✓	0.3b	(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
✓	13.1b	(.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))
	13.8b	(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
	4.4b	(.f32 alpha (.f32 alpha (+.f32 u0 (.f32 1/2 (.f32 u0 u0)))))
✓	9.1b	(.f32 alpha (.f32 alpha u0))
✓	2.3b	(exp.f32 (log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))

Compiler

Compiled 1017 to 670 computations (34.1% saved)

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 u0)
✓	0.1b	(log1p.f32 (*.f32 u0 (neg.f32 u0)))
✓	0.2b	(-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))
✓	0.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series24.0ms (0.2%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
20.0ms	alpha	@	0	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
1.0ms	u0	@	-inf	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
0.0ms	u0	@	0	(log1p.f32 (*.f32 u0 (neg.f32 u0)))
0.0ms	alpha	@	inf	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
0.0ms	u0	@	inf	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))

rewrite129.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`*-commutative`
806×	`associate-*r/`
622×	`distribute-lft-in`
604×	`distribute-rgt-in`
510×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	106
1	274	86
2	3712	38

Stop Event

1×	node limit

Counts

4 → 306

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))
(log1p.f32 (*.f32 u0 (neg.f32 u0)))
(log1p.f32 u0)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (.f32 u0 (neg.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (.f32 (.f32 alpha (neg.f32 alpha)) (fma.f32 (neg.f32 (log1p.f32 u0)) 1 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (.f32 (.f32 alpha (neg.f32 alpha)) (fma.f32 (neg.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (.f32 (.f32 alpha (neg.f32 alpha)) (fma.f32 (neg.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (.f32 (fma.f32 (neg.f32 (log1p.f32 u0)) 1 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) (.f32 alpha (neg.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (.f32 (fma.f32 (neg.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) (.f32 alpha (neg.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (.f32 (fma.f32 (neg.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) (.f32 alpha (neg.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 alpha (.f32 alpha (log1p.f32 (.f32 u0 (neg.f32 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1 (.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (.f32 u0 (neg.f32 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) 0) (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1 (.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (.f32 u0 (neg.f32 u0))))) (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 alpha (log1p.f32 (.f32 u0 (neg.f32 u0)))) alpha) (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (.f32 u0 (neg.f32 u0)))) 1) (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 0 (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (.f32 u0 (neg.f32 u0)))) -1) (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 1 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0))) (/.f32 (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (.f32 alpha (neg.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3)) (/.f32 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (.f32 alpha (neg.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0)))) (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3))) (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 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(sqrt.f32 (log1p.f32 (.f32 u0 (neg.f32 u0)))) (neg.f32 (log1p.f32 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (cbrt.f32 (log1p.f32 (.f32 u0 (neg.f32 u0)))) (cbrt.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))))) (cbrt.f32 (log1p.f32 (.f32 u0 (neg.f32 u0)))) (neg.f32 (log1p.f32 u0)))))))

simplify188.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate-r`
1020×	`associate-l`
1012×	`associate-/l*`
622×	`distribute-lft-in`
614×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	604	36276
1	1820	34380

Stop Event

1×	node limit

Counts

366 → 475

Calls

Call 1

Inputs
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(*.f32 u0 (pow.f32 alpha 2))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(.f32 -1 (.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))) (pow.f32 alpha 2)))
(+.f32 (.f32 -1 (.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))) (pow.f32 alpha 2))) (/.f32 (pow.f32 alpha 2) u0))
(+.f32 (.f32 -1 (.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))) (pow.f32 alpha 2))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (*.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2)))))
(+.f32 (.f32 -1 (.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))) (pow.f32 alpha 2))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))))))
(.f32 -1 (.f32 (-.f32 (.f32 -2 (log.f32 (/.f32 -1 u0))) (.f32 -1 (log.f32 (/.f32 -1 u0)))) (pow.f32 alpha 2)))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 (log.f32 (/.f32 -1 u0))) (.f32 -1 (log.f32 (/.f32 -1 u0)))) (pow.f32 alpha 2))) (/.f32 (pow.f32 alpha 2) u0))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 (log.f32 (/.f32 -1 u0))) (.f32 -1 (log.f32 (/.f32 -1 u0)))) (pow.f32 alpha 2))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (*.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2)))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 (log.f32 (/.f32 -1 u0))) (.f32 -1 (log.f32 (/.f32 -1 u0)))) (pow.f32 alpha 2))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))))))
(*.f32 -1 u0)
(+.f32 (.f32 -1 u0) (.f32 -1/2 (pow.f32 u0 2)))
(+.f32 (.f32 -1 u0) (+.f32 (.f32 -1/2 (pow.f32 u0 2)) (*.f32 -1/3 (pow.f32 u0 3))))
(+.f32 (.f32 -1 u0) (+.f32 (.f32 -1/2 (pow.f32 u0 2)) (+.f32 (.f32 -1/3 (pow.f32 u0 3)) (.f32 -1/4 (pow.f32 u0 4)))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (/.f32 1 u0)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (+.f32 (/.f32 1 u0) (*.f32 1/2 (/.f32 1 (pow.f32 u0 2))))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u0))) (+.f32 (/.f32 1 u0) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u0 3))) (.f32 1/2 (/.f32 1 (pow.f32 u0 2)))))))
(-.f32 (.f32 -2 (log.f32 (/.f32 -1 u0))) (.f32 -1 (log.f32 (/.f32 -1 u0))))
(-.f32 (.f32 -2 (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 1 u0) (.f32 -1 (log.f32 (/.f32 -1 u0)))))
(-.f32 (.f32 -2 (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 1 u0) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u0))) (*.f32 1/2 (/.f32 1 (pow.f32 u0 2))))))
(-.f32 (.f32 -2 (log.f32 (/.f32 -1 u0))) (+.f32 (/.f32 1 u0) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u0 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u0))) (.f32 1/2 (/.f32 1 (pow.f32 u0 2)))))))
(*.f32 -1 (pow.f32 u0 2))
(+.f32 (.f32 -1/2 (pow.f32 u0 4)) (.f32 -1 (pow.f32 u0 2)))
(+.f32 (.f32 -1/2 (pow.f32 u0 4)) (+.f32 (.f32 -1 (pow.f32 u0 2)) (*.f32 -1/3 (pow.f32 u0 6))))
(+.f32 (.f32 -1/2 (pow.f32 u0 4)) (+.f32 (.f32 -1/4 (pow.f32 u0 8)) (+.f32 (.f32 -1 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 6)))))
(+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u0))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u0)))) (/.f32 1 (pow.f32 u0 2)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (+.f32 (/.f32 1 (pow.f32 u0 2)) (.f32 1/2 (/.f32 1 (pow.f32 u0 4)))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (+.f32 (/.f32 1 (pow.f32 u0 2)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u0 4))) (*.f32 1/3 (/.f32 1 (pow.f32 u0 6))))))
(+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u0))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u0)))) (/.f32 1 (pow.f32 u0 2)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 -1 u0)))) (+.f32 (/.f32 1 (pow.f32 u0 2)) (.f32 1/2 (/.f32 1 (pow.f32 u0 4)))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 -1 u0)))) (+.f32 (/.f32 1 (pow.f32 u0 2)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u0 4))) (*.f32 1/3 (/.f32 1 (pow.f32 u0 6))))))
u0
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(/.f32 (.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3))) 1) (neg.f32 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (sqrt.f32 (+.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (sqrt.f32 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))))
(/.f32 (.f32 (cbrt.f32 (-.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0)))) (.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))) (cbrt.f32 (+.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
(/.f32 (.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3))) (.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))) (cbrt.f32 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0))))) (.f32 (.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) (.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))) (/.f32 1 (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (+.f32 (.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0))))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) 3) (pow.f32 (.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) 3)) (/.f32 1 (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (+.f32 (.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0))))) (.f32 (.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) (+.f32 (.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (*.f32 u0 (neg.f32 u0))))))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3)) (.f32 (pow.f32 (log1p.f32 u0) 3) (pow.f32 (log1p.f32 u0) 3))) (/.f32 1 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3)))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u0) 3) 3)) (/.f32 1 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))) (+.f32 (.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3)) (.f32 (pow.f32 (log1p.f32 u0) 3) (+.f32 (pow.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3)))))
(/.f32 (/.f32 (-.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0))) 1) (+.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(/.f32 (/.f32 (-.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0))) (sqrt.f32 (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (sqrt.f32 (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
(/.f32 (/.f32 (-.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0))) (.f32 (cbrt.f32 (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) (cbrt.f32 (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))) (cbrt.f32 (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3)) 1) (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3)) (sqrt.f32 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))) (sqrt.f32 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3)) (.f32 (cbrt.f32 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))) (cbrt.f32 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))))) (cbrt.f32 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))))
(pow.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) 1)
(pow.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) 2)
(pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) 3)
(pow.f32 (pow.f32 (log1p.f32 u0) 3) 1/3)
(sqrt.f32 (.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
(log.f32 (+.f32 1 u0))
(cbrt.f32 (pow.f32 (log1p.f32 u0) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u0)))
(exp.f32 (log.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
(fma.f32 1 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (neg.f32 (log1p.f32 u0)))
(fma.f32 (sqrt.f32 (log1p.f32 (.f32 u0 (neg.f32 u0)))) (sqrt.f32 (log1p.f32 (.f32 u0 (neg.f32 u0)))) (neg.f32 (log1p.f32 u0)))
(fma.f32 (.f32 (cbrt.f32 (log1p.f32 (.f32 u0 (neg.f32 u0)))) (cbrt.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))))) (cbrt.f32 (log1p.f32 (.f32 u0 (neg.f32 u0)))) (neg.f32 (log1p.f32 u0)))

Outputs
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(neg.f32 (.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(neg.f32 (.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(neg.f32 (.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(neg.f32 (.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(neg.f32 (.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(neg.f32 (.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(neg.f32 (.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(neg.f32 (.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(neg.f32 (.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(neg.f32 (.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(neg.f32 (.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(neg.f32 (.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) u0)
(.f32 alpha (.f32 alpha u0))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 (.f32 1/2 (.f32 u0 u0)) (*.f32 alpha alpha)))
(fma.f32 u0 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 (*.f32 u0 u0) 1/2)))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (.f32 (.f32 1/2 (.f32 u0 u0)) (*.f32 alpha alpha))))
(fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 alpha (.f32 alpha (pow.f32 u0 3))) (.f32 (.f32 alpha alpha) (.f32 (*.f32 u0 u0) 1/2))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(fma.f32 1/4 (.f32 (.f32 alpha alpha) (pow.f32 u0 4)) (fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 (.f32 alpha alpha) (pow.f32 u0 3)) (.f32 (.f32 1/2 (.f32 u0 u0)) (*.f32 alpha alpha)))))
(fma.f32 1/4 (.f32 alpha (.f32 alpha (pow.f32 u0 4))) (fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 alpha (.f32 alpha (pow.f32 u0 3))) (.f32 (.f32 alpha alpha) (.f32 (*.f32 u0 u0) 1/2)))))
(.f32 -1 (.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))) (pow.f32 alpha 2)))
(neg.f32 (.f32 (.f32 alpha alpha) (-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u0)))) (neg.f32 (neg.f32 (log.f32 u0))))))
(.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (neg.f32 (log.f32 u0)))) (neg.f32 (neg.f32 (log.f32 u0)))) (*.f32 alpha (neg.f32 alpha)))
(+.f32 (.f32 -1 (.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))) (pow.f32 alpha 2))) (/.f32 (pow.f32 alpha 2) u0))
(fma.f32 -1 (.f32 (.f32 alpha alpha) (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (neg.f32 (log.f32 u0)))) (neg.f32 (neg.f32 (log.f32 u0))))) (/.f32 (.f32 alpha alpha) u0))
(fma.f32 -1 (.f32 alpha (.f32 alpha (-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u0)))) (neg.f32 (neg.f32 (log.f32 u0)))))) (/.f32 alpha (/.f32 u0 alpha)))
(+.f32 (.f32 -1 (.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))) (pow.f32 alpha 2))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (*.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2)))))
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(/.f32 (/.f32 1 (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (/.f32 (+.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3)) (.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)) (.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)) (fma.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)) (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)) (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))))))) (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 6) (pow.f32 (.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))) 3))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3)) (.f32 (pow.f32 (log1p.f32 u0) 3) (pow.f32 (log1p.f32 u0) 3))) (/.f32 1 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 6) (pow.f32 (log1p.f32 u0) 6)) (.f32 (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3))))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u0) 3) 3)) (/.f32 1 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))) (+.f32 (.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3)) (.f32 (pow.f32 (log1p.f32 u0) 3) (+.f32 (pow.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3)))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u0) 3) 3)) (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 6) (.f32 (pow.f32 (log1p.f32 u0) 3) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3)))) (/.f32 1 (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))))))
(.f32 (/.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u0) 3) 3)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 6) (.f32 (pow.f32 (log1p.f32 u0) 3) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3))))) (/.f32 1 (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))
(/.f32 (/.f32 (-.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0))) 1) (+.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(/.f32 (-.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0))) (+.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))
(/.f32 (/.f32 (-.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0))) (sqrt.f32 (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (sqrt.f32 (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
(/.f32 (-.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0))) (.f32 (sqrt.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (sqrt.f32 (+.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(/.f32 (/.f32 (-.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0))) (.f32 (cbrt.f32 (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) (cbrt.f32 (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))) (cbrt.f32 (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
(/.f32 (/.f32 (-.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0))) (.f32 (cbrt.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (cbrt.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))) (cbrt.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3)) 1) (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3)) (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3)) (sqrt.f32 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))) (sqrt.f32 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3)) (.f32 (sqrt.f32 (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))) (sqrt.f32 (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3)) (.f32 (cbrt.f32 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))) (cbrt.f32 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))))) (cbrt.f32 (+.f32 (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3)) (.f32 (cbrt.f32 (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))) (cbrt.f32 (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))))) (cbrt.f32 (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3)) (cbrt.f32 (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))))) (.f32 (cbrt.f32 (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))) (cbrt.f32 (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))))))
(pow.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) 1)
(-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))
(pow.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) 2)
(-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))
(pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) 3)
(-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))
(pow.f32 (pow.f32 (log1p.f32 u0) 3) 1/3)
(log1p.f32 u0)
(sqrt.f32 (.f32 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
(fabs.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))
(log.f32 (+.f32 1 u0))
(log1p.f32 u0)
(cbrt.f32 (pow.f32 (log1p.f32 u0) 3))
(log1p.f32 u0)
(expm1.f32 (log1p.f32 (log1p.f32 u0)))
(log1p.f32 u0)
(exp.f32 (log.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))
(fma.f32 1 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (neg.f32 (log1p.f32 u0)))
(-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))
(fma.f32 (sqrt.f32 (log1p.f32 (.f32 u0 (neg.f32 u0)))) (sqrt.f32 (log1p.f32 (.f32 u0 (neg.f32 u0)))) (neg.f32 (log1p.f32 u0)))
(-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))
(fma.f32 (.f32 (cbrt.f32 (log1p.f32 (.f32 u0 (neg.f32 u0)))) (cbrt.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))))) (cbrt.f32 (log1p.f32 (.f32 u0 (neg.f32 u0)))) (neg.f32 (log1p.f32 u0)))
(-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (.f32 alpha alpha) u0)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	inf	(.f32 (.f32 alpha alpha) u0)
0.0ms	alpha	@	0	(.f32 (.f32 alpha alpha) u0)
0.0ms	u0	@	-inf	(.f32 (.f32 alpha alpha) u0)
0.0ms	alpha	@	-inf	(.f32 (.f32 alpha alpha) u0)
0.0ms	u0	@	inf	(.f32 (.f32 alpha alpha) u0)

rewrite100.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1120×	`add-sqr-sqrt`
1108×	`*-un-lft-identity`
1040×	`pow1`
1024×	`add-cube-cbrt`
1008×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	120	13
2	1471	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f32 (.f32 alpha alpha) u0)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 alpha alpha) u0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (*.f32 alpha alpha) u0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (*.f32 alpha alpha) u0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (*.f32 (*.f32 alpha alpha) u0)) (*.f32 (*.f32 alpha alpha) u0)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (*.f32 (*.f32 alpha alpha) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 (*.f32 alpha alpha) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (*.f32 (*.f32 alpha alpha) u0)) (*.f32 (*.f32 alpha alpha) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (*.f32 alpha alpha) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (*.f32 alpha alpha) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (*.f32 alpha alpha) u0)))))))

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1032×	`*-commutative`
816×	`associate-r`
638×	`associate-l`
550×	`exp-sum`
538×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	455
1	82	455
2	341	455
3	2085	455
4	4970	455
5	7585	455

Stop Event

1×	node limit

Counts

35 → 14

Calls

Call 1

Inputs
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)
(pow.f32 (.f32 (.f32 alpha alpha) u0) 1)
(pow.f32 (sqrt.f32 (.f32 (.f32 alpha alpha) u0)) 2)
(pow.f32 (cbrt.f32 (.f32 (.f32 alpha alpha) u0)) 3)
(pow.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) u0) (.f32 (.f32 alpha alpha) u0)) (.f32 (.f32 alpha alpha) u0)) 1/3)
(sqrt.f32 (.f32 (.f32 (.f32 alpha alpha) u0) (.f32 (*.f32 alpha alpha) u0)))
(log.f32 (exp.f32 (.f32 (.f32 alpha alpha) u0)))
(cbrt.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) u0) (.f32 (.f32 alpha alpha) u0)) (.f32 (.f32 alpha alpha) u0)))
(expm1.f32 (log1p.f32 (.f32 (.f32 alpha alpha) u0)))
(exp.f32 (log.f32 (.f32 (.f32 alpha alpha) u0)))
(log1p.f32 (expm1.f32 (.f32 (.f32 alpha alpha) u0)))

Outputs
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(pow.f32 (.f32 (.f32 alpha alpha) u0) 1)
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(pow.f32 (sqrt.f32 (.f32 (.f32 alpha alpha) u0)) 2)
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(pow.f32 (cbrt.f32 (.f32 (.f32 alpha alpha) u0)) 3)
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(pow.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) u0) (.f32 (.f32 alpha alpha) u0)) (.f32 (.f32 alpha alpha) u0)) 1/3)
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(sqrt.f32 (.f32 (.f32 (.f32 alpha alpha) u0) (.f32 (*.f32 alpha alpha) u0)))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(log.f32 (exp.f32 (.f32 (.f32 alpha alpha) u0)))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(cbrt.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) u0) (.f32 (.f32 alpha alpha) u0)) (.f32 (.f32 alpha alpha) u0)))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(expm1.f32 (log1p.f32 (.f32 (.f32 alpha alpha) u0)))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(exp.f32 (log.f32 (.f32 (.f32 alpha alpha) u0)))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(log1p.f32 (expm1.f32 (.f32 (.f32 alpha alpha) u0)))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))

localize102.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 alpha (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) u0))
✓	0.2b	(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))
✓	0.3b	(*.f32 u0 -1/3)
✓	0.4b	(.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))

Compiler

Compiled 68 to 38 computations (44.1% saved)

series5.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))
0.0ms	alpha	@	inf	(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))
0.0ms	u0	@	0	(.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))
0.0ms	u0	@	-inf	(.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))
0.0ms	alpha	@	0	(.f32 alpha (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) u0))

rewrite115.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`associate-*r/`
1386×	`associate-*l/`
350×	`add-sqr-sqrt`
334×	`pow1`
334×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	116
1	337	100
2	4695	100

Stop Event

1×	node limit

Counts

4 → 194

Calls

Call 1

Inputs
(.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))
(*.f32 u0 -1/3)
(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))
(.f32 alpha (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) u0))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u0 u0) -1/2) (.f32 (.f32 u0 u0) (.f32 u0 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u0 u0) (.f32 u0 -1/3)) (.f32 (.f32 u0 u0) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (.f32 u0 u0) -1/2) 1) (.f32 (.f32 (.f32 u0 u0) (.f32 u0 -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (.f32 u0 u0) (.f32 u0 -1/3)) 1) (.f32 (.f32 (.f32 u0 u0) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u0 u0) (/.f32 (-.f32 -1/2 (.f32 u0 -1/3)) (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u0 u0) (/.f32 (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (.f32 u0 -1/3)))) (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u0 u0) (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)))) (-.f32 -1/2 (.f32 u0 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u0 u0) (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3))) (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (.f32 u0 -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3))) (.f32 u0 u0)) (-.f32 -1/2 (.f32 u0 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3)) (.f32 u0 u0)) (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (.f32 u0 -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (.f32 (.f32 u0 u0) -1/2) (.f32 (.f32 u0 u0) -1/2)) (.f32 (.f32 (.f32 u0 u0) (.f32 u0 -1/3)) (.f32 (.f32 u0 u0) (.f32 u0 -1/3)))) (-.f32 (.f32 (.f32 u0 u0) -1/2) (.f32 (.f32 u0 u0) (.f32 u0 -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 (.f32 u0 u0) -1/2) 3) (pow.f32 (.f32 (.f32 u0 u0) (.f32 u0 -1/3)) 3)) (+.f32 (.f32 (.f32 (.f32 u0 u0) -1/2) (.f32 (.f32 u0 u0) -1/2)) (-.f32 (.f32 (.f32 (.f32 u0 u0) (.f32 u0 -1/3)) (.f32 (.f32 u0 u0) (.f32 u0 -1/3))) (.f32 (.f32 (.f32 u0 u0) -1/2) (.f32 (.f32 u0 u0) (.f32 u0 -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u0 (.f32 u0 (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3))))) (-.f32 -1/2 (.f32 u0 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u0 (.f32 u0 (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3)))) (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (.f32 u0 -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u0 u0) (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) 1/4)) (-.f32 (.f32 u0 -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u0 u0) (neg.f32 (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3))))) (neg.f32 (-.f32 -1/2 (.f32 u0 -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u0 u0) (neg.f32 (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3)))) (neg.f32 (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (.f32 u0 -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (.f32 u0 u0) (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3))))) (-.f32 -1/2 (.f32 u0 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (.f32 u0 u0) (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3)))) (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (.f32 u0 -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3))) (.f32 u0 u0))) (-.f32 -1/2 (.f32 u0 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3)) (.f32 u0 u0))) (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (.f32 u0 -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (-.f32 (.f32 (.f32 (.f32 u0 u0) -1/2) (.f32 (.f32 u0 u0) -1/2)) (.f32 (.f32 (.f32 u0 u0) (.f32 u0 -1/3)) (.f32 (.f32 u0 u0) (.f32 u0 -1/3))))) (-.f32 (.f32 (.f32 u0 u0) -1/2) (.f32 (.f32 u0 u0) (.f32 u0 -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (+.f32 (pow.f32 (.f32 (.f32 u0 u0) -1/2) 3) (pow.f32 (.f32 (.f32 u0 u0) (.f32 u0 -1/3)) 3))) (+.f32 (.f32 (.f32 (.f32 u0 u0) -1/2) (.f32 (.f32 u0 u0) -1/2)) (-.f32 (.f32 (.f32 (.f32 u0 u0) (.f32 u0 -1/3)) (.f32 (.f32 u0 u0) (.f32 u0 -1/3))) (.f32 (.f32 (.f32 u0 u0) -1/2) (.f32 (.f32 u0 u0) (.f32 u0 -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (.f32 u0 u0) (sqrt.f32 (+.f32 -1/2 (.f32 u0 -1/3)))) (sqrt.f32 (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3)))) (sqrt.f32 (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (.f32 u0 -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (.f32 u0 u0) (sqrt.f32 (+.f32 -1/2 (.f32 u0 -1/3)))) (sqrt.f32 (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3))))) (sqrt.f32 (-.f32 -1/2 (.f32 u0 -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (.f32 u0 u0) (.f32 (cbrt.f32 (+.f32 -1/2 (.f32 u0 -1/3))) (cbrt.f32 (+.f32 -1/2 (.f32 u0 -1/3))))) (cbrt.f32 (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3)))) (cbrt.f32 (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (.f32 u0 -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (.f32 u0 u0) (.f32 (cbrt.f32 (+.f32 -1/2 (.f32 u0 -1/3))) (cbrt.f32 (+.f32 -1/2 (.f32 u0 -1/3))))) (cbrt.f32 (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3))))) (cbrt.f32 (-.f32 -1/2 (.f32 u0 -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) 1/4) (.f32 u0 u0)) (-.f32 (.f32 u0 -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)))) (.f32 u0 u0)) (neg.f32 (-.f32 -1/2 (.f32 u0 -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3))) (.f32 u0 u0)) (neg.f32 (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (.f32 u0 -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (.f32 u0 u0) (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)))) 1) (-.f32 -1/2 (.f32 u0 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (.f32 u0 u0) (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3))) 1) (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (.f32 u0 -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3))) (.f32 u0 u0)) 1) (-.f32 -1/2 (.f32 u0 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3)) (.f32 u0 u0)) 1) (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (.f32 u0 -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (.f32 (.f32 (.f32 u0 u0) -1/2) (.f32 (.f32 u0 u0) -1/2)) (.f32 (.f32 (.f32 u0 u0) (.f32 u0 -1/3)) (.f32 (.f32 u0 u0) (.f32 u0 -1/3)))) 1) (-.f32 (.f32 (.f32 u0 u0) -1/2) (.f32 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exp.f32 (.f32 (log.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))))))))

simplify150.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1462×	`associate-r`
1312×	`associate-l`
1144×	`associate-+r+`
864×	`associate-/l*`
694×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	512	16626
1	1451	14266
2	7580	14266

Stop Event

1×	node limit

Counts

266 → 314

Calls

Call 1

Inputs
(*.f32 -1/2 (pow.f32 u0 2))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(*.f32 -1/3 (pow.f32 u0 3))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(*.f32 -1/3 (pow.f32 u0 3))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(*.f32 -1/3 u0)
(*.f32 -1/3 u0)
(*.f32 -1/3 u0)
(*.f32 -1/3 u0)
(*.f32 -1/3 u0)
(*.f32 -1/3 u0)
(*.f32 -1/3 u0)
(*.f32 -1/3 u0)
(*.f32 -1/3 u0)
(*.f32 -1/3 u0)
(*.f32 -1/3 u0)
(*.f32 -1/3 u0)
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(*.f32 u0 (pow.f32 alpha 2))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
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(/.f32 alpha (/.f32 (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (+.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) 3) (pow.f32 u0 3))))
(/.f32 (.f32 alpha (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0))) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))
(/.f32 (.f32 alpha (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) 3) (pow.f32 u0 3))) (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (+.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)) alpha) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) 3) (pow.f32 u0 3)) alpha) (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (+.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))))
(/.f32 (.f32 alpha (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 (neg.f32 u0) (neg.f32 u0)))) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (neg.f32 u0)))
(/.f32 (.f32 alpha (+.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) 3) (pow.f32 (neg.f32 u0) 3))) (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (-.f32 (.f32 (neg.f32 u0) (neg.f32 u0)) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (neg.f32 u0)))))
(/.f32 (.f32 alpha (neg.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)))) (neg.f32 (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))
(/.f32 (.f32 alpha (neg.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) 3) (pow.f32 u0 3)))) (neg.f32 (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (+.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))))
(/.f32 (.f32 (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0) (-.f32 0 (*.f32 alpha alpha))) alpha)
(/.f32 (.f32 (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0) (-.f32 0 (.f32 (.f32 alpha alpha) alpha))) (+.f32 0 (+.f32 (.f32 alpha alpha) (.f32 0 alpha))))
(/.f32 (.f32 1 (.f32 alpha (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)))) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))
(/.f32 (.f32 1 (.f32 alpha (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) 3) (pow.f32 u0 3)))) (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (+.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))))
(/.f32 (.f32 1 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)) alpha)) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))
(/.f32 (.f32 1 (.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) 3) (pow.f32 u0 3)) alpha)) (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (+.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))))
(/.f32 (.f32 (sqrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) (sqrt.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)))) (sqrt.f32 (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0)))
(/.f32 (.f32 (sqrt.f32 (.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) (sqrt.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) 3) (pow.f32 u0 3)))) (sqrt.f32 (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (+.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0)))))
(/.f32 (.f32 (.f32 alpha (.f32 (cbrt.f32 (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) (cbrt.f32 (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))) (cbrt.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)))) (cbrt.f32 (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))
(/.f32 (.f32 (.f32 alpha (.f32 (cbrt.f32 (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) (cbrt.f32 (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))) (cbrt.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) 3) (pow.f32 u0 3)))) (cbrt.f32 (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (+.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))))
(/.f32 (.f32 (-.f32 0 (.f32 alpha alpha)) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0)) alpha)
(/.f32 (.f32 (-.f32 0 (.f32 (.f32 alpha alpha) alpha)) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) (+.f32 0 (+.f32 (.f32 alpha alpha) (.f32 0 alpha))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 (neg.f32 u0) (neg.f32 u0))) alpha) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (neg.f32 u0)))
(/.f32 (.f32 (+.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) 3) (pow.f32 (neg.f32 u0) 3)) alpha) (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (-.f32 (.f32 (neg.f32 u0) (neg.f32 u0)) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (neg.f32 u0)))))
(/.f32 (.f32 (neg.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0))) alpha) (neg.f32 (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))
(/.f32 (.f32 (neg.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) 3) (pow.f32 u0 3))) alpha) (neg.f32 (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (+.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))))
(/.f32 (.f32 (.f32 alpha (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0))) 1) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))
(/.f32 (.f32 (.f32 alpha (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) 3) (pow.f32 u0 3))) 1) (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (+.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))))
(/.f32 (.f32 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)) alpha) 1) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))
(/.f32 (.f32 (.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) 3) (pow.f32 u0 3)) alpha) 1) (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (+.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0))) (.f32 (sqrt.f32 (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) alpha)) (sqrt.f32 (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))
(/.f32 (.f32 (sqrt.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) 3) (pow.f32 u0 3))) (.f32 (sqrt.f32 (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) alpha)) (sqrt.f32 (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (+.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))))
(pow.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) 1)
(pow.f32 (sqrt.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) 2)
(pow.f32 (cbrt.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) 3)
(pow.f32 (.f32 (.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) 1/3)
(sqrt.f32 (.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))))
(log.f32 (exp.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))))
(cbrt.f32 (.f32 (.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))))
(cbrt.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))))
(cbrt.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) (.f32 (.f32 alpha alpha) alpha)))
(expm1.f32 (log1p.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))))
(exp.f32 (log.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))))
(exp.f32 (.f32 (log.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))) 1))
(log1p.f32 (expm1.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))))

Outputs
(*.f32 -1/2 (pow.f32 u0 2))
(.f32 -1/2 (.f32 u0 u0))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0))
(*.f32 -1/3 (pow.f32 u0 3))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0))
(*.f32 -1/3 (pow.f32 u0 3))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0))
(*.f32 -1/3 u0)
(*.f32 u0 -1/3)
(*.f32 -1/3 u0)
(*.f32 u0 -1/3)
(*.f32 -1/3 u0)
(*.f32 u0 -1/3)
(*.f32 -1/3 u0)
(*.f32 u0 -1/3)
(*.f32 -1/3 u0)
(*.f32 u0 -1/3)
(*.f32 -1/3 u0)
(*.f32 u0 -1/3)
(*.f32 -1/3 u0)
(*.f32 u0 -1/3)
(*.f32 -1/3 u0)
(*.f32 u0 -1/3)
(*.f32 -1/3 u0)
(*.f32 u0 -1/3)
(*.f32 -1/3 u0)
(*.f32 u0 -1/3)
(*.f32 -1/3 u0)
(*.f32 u0 -1/3)
(*.f32 -1/3 u0)
(*.f32 u0 -1/3)
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(neg.f32 (.f32 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)) (*.f32 alpha alpha)))
(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0)) u0)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(neg.f32 (.f32 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)) (*.f32 alpha alpha)))
(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0)) u0)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(neg.f32 (.f32 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)) (*.f32 alpha alpha)))
(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0)) u0)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(neg.f32 (.f32 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)) (*.f32 alpha alpha)))
(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0)) u0)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(neg.f32 (.f32 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)) (*.f32 alpha alpha)))
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(.f32 (/.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) u0)) (.f32 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) u0) (fma.f32 u0 (*.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0))))
(.f32 (-.f32 (pow.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0)) 2) (.f32 u0 u0)) (/.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 -1/3 -1/2)) u0)))
(/.f32 (.f32 (.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) 3) (pow.f32 u0 3)) alpha) 1) (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (+.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))))
(.f32 (/.f32 alpha (fma.f32 (.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2))) (.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2))) (.f32 u0 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) u0)))) (-.f32 (pow.f32 (.f32 u0 (*.f32 u0 (fma.f32 -1/3 u0 -1/2))) 3) (pow.f32 u0 3)))
(.f32 (/.f32 (-.f32 (pow.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0)) 3) (pow.f32 u0 3)) (fma.f32 u0 (fma.f32 u0 (.f32 u0 (fma.f32 u0 -1/3 -1/2)) u0) (pow.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0)) 2))) alpha)
(/.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0))) (.f32 (sqrt.f32 (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) alpha)) (sqrt.f32 (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))
(/.f32 (sqrt.f32 (.f32 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) u0) (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)))) (/.f32 (sqrt.f32 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) u0)) (.f32 alpha (sqrt.f32 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0)) 2) (.f32 u0 u0))) (/.f32 (sqrt.f32 (fma.f32 u0 (.f32 u0 (fma.f32 u0 -1/3 -1/2)) u0)) (.f32 alpha (sqrt.f32 (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0)))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) 3) (pow.f32 u0 3))) (.f32 (sqrt.f32 (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) alpha)) (sqrt.f32 (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (+.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2))) 3) (pow.f32 u0 3))) (/.f32 (sqrt.f32 (fma.f32 (.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2))) (.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2))) (.f32 u0 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) u0)))) (.f32 alpha (sqrt.f32 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0))))))
(.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0)) 3) (pow.f32 u0 3))) (sqrt.f32 (fma.f32 u0 (fma.f32 u0 (.f32 u0 (fma.f32 u0 -1/3 -1/2)) u0) (pow.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (.f32 u0 u0)) 2)))) (.f32 alpha (sqrt.f32 (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0))))
(pow.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) 1)
(.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)))
(.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0))
(pow.f32 (sqrt.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) 2)
(.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)))
(.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0))
(pow.f32 (cbrt.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) 3)
(.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)))
(.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0))
(pow.f32 (.f32 (.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) 1/3)
(cbrt.f32 (.f32 (.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0))) (.f32 (.f32 alpha alpha) (.f32 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)) (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0))))))
(cbrt.f32 (pow.f32 (.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0)) 3))
(sqrt.f32 (.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))))
(.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)))
(.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0))
(log.f32 (exp.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))))
(.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)))
(.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0))
(log.f32 (+.f32 1 (expm1.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))))
(.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)))
(.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0))
(cbrt.f32 (.f32 (.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))))
(cbrt.f32 (.f32 (.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0))) (.f32 (.f32 alpha alpha) (.f32 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)) (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0))))))
(cbrt.f32 (pow.f32 (.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0)) 3))
(cbrt.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))))
(cbrt.f32 (.f32 (.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0))) (.f32 (.f32 alpha alpha) (.f32 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)) (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0))))))
(cbrt.f32 (pow.f32 (.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0)) 3))
(cbrt.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)) (.f32 (.f32 alpha alpha) alpha)))
(cbrt.f32 (.f32 (.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0))) (.f32 (.f32 alpha alpha) (.f32 (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)) (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0))))))
(cbrt.f32 (pow.f32 (.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0)) 3))
(expm1.f32 (log1p.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))))
(.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)))
(.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0))
(exp.f32 (log.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))))
(.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)))
(.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0))
(exp.f32 (.f32 (log.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))) 1))
(.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)))
(.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0))
(log1p.f32 (expm1.f32 (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))))
(.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) (neg.f32 u0)))
(.f32 alpha (-.f32 (.f32 (fma.f32 u0 -1/3 -1/2) (*.f32 u0 u0)) u0))

localize102.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 (.f32 u0 u0) (+.f32 (.f32 u0 1/3) 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))
✓	0.3b	(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 (.f32 u0 1/3) 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))
	0.3b	(*.f32 u0 1/3)
	0.4b	(.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))

Compiler

Compiled 84 to 53 computations (36.9% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 (.f32 u0 1/3) 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))
0.0ms	alpha	@	inf	(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 (.f32 u0 1/3) 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))
0.0ms	u0	@	inf	(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 (.f32 u0 1/3) 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))
0.0ms	u0	@	-inf	(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 (.f32 u0 1/3) 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))
0.0ms	u0	@	0	(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 (.f32 u0 1/3) 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))

rewrite109.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`associate-+l+`
472×	`associate-/r*`
412×	`add-sqr-sqrt`
400×	`*-un-lft-identity`
398×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	94
1	415	86
2	5739	86

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

Inputs

(*.f32 (*.f32 alpha alpha) (+.f32 (*.f32 (*.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2)) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4))))

(+.f32 (*.f32 (*.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2)) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (*.f32 alpha alpha)) (*.f32 (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)) (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 alpha alpha) u0) (+.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (pow.f32 u0 4) 1/4)) (*.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (pow.f32 u0 4) 1/4)) (*.f32 (*.f32 alpha alpha) (+.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (pow.f32 u0 4) 1/4)) (+.f32 (*.f32 (*.f32 alpha alpha) u0) (*.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 alpha alpha) (+.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)) u0)) (*.f32 (*.f32 alpha alpha) (*.f32 (pow.f32 u0 4) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 1/3) (*.f32 u0 u0))) (+.f32 (*.f32 (*.f32 alpha alpha) (*.f32 1/2 (*.f32 u0 u0))) (*.f32 (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)) (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u0 (*.f32 alpha alpha)) (+.f32 (*.f32 (*.f32 (pow.f32 u0 4) 1/4) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (pow.f32 u0 4) 1/4) (*.f32 alpha alpha)) (*.f32 (+.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)) u0) (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (pow.f32 u0 4) 1/4) (*.f32 alpha alpha)) (+.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 u0 u0) 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4) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u0 (*.f32 u0 (fma.f32 u0 1/3 1/2)) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (fma.f32 u0 1/3 1/2) (*.f32 u0 u0) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))))) 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(*.f32 (pow.f32 u0 4) 1/4))) (cbrt.f32 (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))) (cbrt.f32 (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4))) (*.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))))))

simplify130.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1306×	`associate-+l+`
1256×	`associate-+r+`
976×	`+-commutative`
856×	`associate-r`
782×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	376	13774
1	1206	11480
2	6035	11480

Stop Event

1×	node limit

Counts

164 → 212

Calls

Call 1

Inputs
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2)))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2)))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
u0
(+.f32 u0 (*.f32 1/2 (pow.f32 u0 2)))
(+.f32 u0 (+.f32 (.f32 1/2 (pow.f32 u0 2)) (.f32 1/3 (pow.f32 u0 3))))
(+.f32 u0 (+.f32 (.f32 1/2 (pow.f32 u0 2)) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (*.f32 1/4 (pow.f32 u0 4)))))
(*.f32 1/4 (pow.f32 u0 4))
(+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4)))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (*.f32 1/4 (pow.f32 u0 4))))
(+.f32 u0 (+.f32 (.f32 1/2 (pow.f32 u0 2)) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (*.f32 1/4 (pow.f32 u0 4)))))
(*.f32 1/4 (pow.f32 u0 4))
(+.f32 (.f32 1/3 (pow.f32 u0 3)) (.f32 1/4 (pow.f32 u0 4)))
(+.f32 (.f32 1/2 (pow.f32 u0 2)) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (*.f32 1/4 (pow.f32 u0 4))))
(+.f32 u0 (+.f32 (.f32 1/2 (pow.f32 u0 2)) (+.f32 (.f32 1/3 (pow.f32 u0 3)) (*.f32 1/4 (pow.f32 u0 4)))))
(+.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 alpha alpha)) (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (*.f32 alpha alpha)))
(+.f32 (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (.f32 alpha alpha)) (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (*.f32 alpha alpha)))
(+.f32 (.f32 (.f32 alpha alpha) u0) (+.f32 (.f32 (.f32 alpha alpha) (.f32 (pow.f32 u0 4) 1/4)) (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (*.f32 alpha alpha))))
(+.f32 (.f32 (.f32 alpha alpha) (.f32 (pow.f32 u0 4) 1/4)) (.f32 (.f32 alpha alpha) (+.f32 (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)) u0)))
(+.f32 (.f32 (.f32 alpha alpha) (.f32 (pow.f32 u0 4) 1/4)) (+.f32 (.f32 (.f32 alpha alpha) u0) (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (*.f32 alpha alpha))))
(+.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) u0)) (.f32 (.f32 alpha alpha) (*.f32 (pow.f32 u0 4) 1/4)))
(+.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 u0 1/3) (.f32 u0 u0))) (+.f32 (.f32 (.f32 alpha alpha) (.f32 1/2 (.f32 u0 u0))) (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (.f32 alpha alpha))))
(+.f32 (.f32 u0 (.f32 alpha alpha)) (+.f32 (.f32 (.f32 (pow.f32 u0 4) 1/4) (.f32 alpha alpha)) (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (*.f32 alpha alpha))))
(+.f32 (.f32 (.f32 (pow.f32 u0 4) 1/4) (.f32 alpha alpha)) (.f32 (+.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) u0) (*.f32 alpha alpha)))
(+.f32 (.f32 (.f32 (pow.f32 u0 4) 1/4) (.f32 alpha alpha)) (+.f32 (.f32 u0 (.f32 alpha alpha)) (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (*.f32 alpha alpha))))
(+.f32 (.f32 (+.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) u0) (.f32 alpha alpha)) (.f32 (.f32 (pow.f32 u0 4) 1/4) (*.f32 alpha alpha)))
(+.f32 (.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 alpha alpha)) 1) (.f32 (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (*.f32 alpha alpha)) 1))
(+.f32 (.f32 (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (.f32 alpha alpha)) 1) (.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (*.f32 alpha alpha)) 1))
(+.f32 (.f32 (.f32 (.f32 u0 1/3) (.f32 u0 u0)) (.f32 alpha alpha)) (+.f32 (.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 alpha alpha)) (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (.f32 alpha alpha))))
(+.f32 (+.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 alpha alpha)) (.f32 (.f32 alpha alpha) u0)) (.f32 (.f32 alpha alpha) (*.f32 (pow.f32 u0 4) 1/4)))
(+.f32 (+.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 alpha alpha)) (.f32 (.f32 alpha alpha) (.f32 (pow.f32 u0 4) 1/4))) (.f32 (*.f32 alpha alpha) u0))
(+.f32 (+.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 alpha alpha)) (.f32 u0 (.f32 alpha alpha))) (.f32 (.f32 (pow.f32 u0 4) 1/4) (*.f32 alpha alpha)))
(+.f32 (+.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 alpha alpha)) (.f32 (.f32 (pow.f32 u0 4) 1/4) (.f32 alpha alpha))) (.f32 u0 (*.f32 alpha alpha)))
(+.f32 (+.f32 (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (.f32 alpha alpha)) (.f32 (.f32 alpha alpha) (.f32 (.f32 u0 1/3) (.f32 u0 u0)))) (.f32 (.f32 alpha alpha) (.f32 1/2 (.f32 u0 u0))))
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(-.f32 (exp.f32 (log1p.f32 (.f32 (.f32 alpha alpha) (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))) 1)
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(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) 1) (-.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4))))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) (sqrt.f32 (-.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))) (sqrt.f32 (-.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) (.f32 (cbrt.f32 (-.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) (cbrt.f32 (-.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))) (cbrt.f32 (-.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) (+.f32 (sqrt.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (sqrt.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))) (-.f32 (sqrt.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (sqrt.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) 3) (pow.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) 3)) 1) (+.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (-.f32 (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4))))))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) 3) (pow.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) 3)) (sqrt.f32 (+.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (-.f32 (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))))) (sqrt.f32 (+.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (-.f32 (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))))))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) 3) (pow.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) 3)) (.f32 (cbrt.f32 (+.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (-.f32 (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))) (cbrt.f32 (+.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (-.f32 (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))))) (cbrt.f32 (+.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (-.f32 (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))))
(pow.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) 1)
(pow.f32 (sqrt.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) 2)
(pow.f32 (cbrt.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) 3)
(pow.f32 (.f32 (.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) 1/3)
(sqrt.f32 (.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))))
(log.f32 (exp.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))))
(cbrt.f32 (.f32 (.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))
(expm1.f32 (log1p.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))
(exp.f32 (log.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))
(exp.f32 (.f32 (log.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))) 1))
(log1p.f32 (expm1.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))
(fma.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))
(fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))
(fma.f32 (fma.f32 u0 1/3 1/2) (.f32 u0 u0) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))
(fma.f32 1 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))
(fma.f32 1 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))
(fma.f32 (sqrt.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (sqrt.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))
(fma.f32 (sqrt.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (sqrt.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)))
(fma.f32 (.f32 (cbrt.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (cbrt.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)))) (cbrt.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))
(fma.f32 (.f32 (cbrt.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (cbrt.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) (cbrt.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)))

Outputs
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (.f32 1/4 (pow.f32 u0 4)))))
(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (.f32 1/4 (pow.f32 u0 4)))))
(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (.f32 1/4 (pow.f32 u0 4)))))
(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (.f32 1/4 (pow.f32 u0 4)))))
(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (.f32 1/4 (pow.f32 u0 4)))))
(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (.f32 1/4 (pow.f32 u0 4)))))
(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (.f32 1/4 (pow.f32 u0 4)))))
(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (.f32 1/4 (pow.f32 u0 4)))))
(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (.f32 1/4 (pow.f32 u0 4)))))
(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (.f32 1/4 (pow.f32 u0 4)))))
(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (.f32 1/4 (pow.f32 u0 4)))))
(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)))
(.f32 (+.f32 u0 (+.f32 (.f32 (pow.f32 u0 2) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (.f32 1/4 (pow.f32 u0 4)))))
(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha))))
(.f32 (.f32 alpha alpha) (fma.f32 1/2 (*.f32 u0 u0) u0))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 (pow.f32 u0 3) (.f32 alpha alpha)) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha)))))
(.f32 (.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (.f32 1/4 (pow.f32 u0 4)))))
(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)))
(.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2)))
(.f32 1/4 (.f32 (pow.f32 u0 4) (*.f32 alpha alpha)))
(.f32 (pow.f32 u0 4) (.f32 1/4 (*.f32 alpha alpha)))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))))
(fma.f32 1/4 (.f32 (pow.f32 u0 4) (.f32 alpha alpha)) (.f32 1/3 (.f32 (pow.f32 u0 3) (*.f32 alpha alpha))))
(.f32 (.f32 alpha alpha) (fma.f32 1/3 (pow.f32 u0 3) (*.f32 1/4 (pow.f32 u0 4))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(fma.f32 1/4 (.f32 (pow.f32 u0 4) (.f32 alpha alpha)) (fma.f32 1/3 (.f32 (pow.f32 u0 3) (.f32 alpha alpha)) (.f32 1/2 (.f32 (.f32 u0 u0) (.f32 alpha alpha)))))
(.f32 alpha (.f32 alpha (fma.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)) (.f32 1/4 (pow.f32 u0 4)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (.f32 1/4 (pow.f32 u0 4)))))
(.f32 (.f32 alpha alpha) (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)))
(.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2)))
(.f32 1/4 (.f32 (pow.f32 u0 4) (*.f32 alpha alpha)))
(.f32 (pow.f32 u0 4) (.f32 1/4 (*.f32 alpha alpha)))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))))
(fma.f32 1/4 (.f32 (pow.f32 u0 4) (.f32 alpha alpha)) (.f32 1/3 (.f32 (pow.f32 u0 3) (*.f32 alpha alpha))))
(.f32 (.f32 alpha alpha) (fma.f32 1/3 (pow.f32 u0 3) (*.f32 1/4 (pow.f32 u0 4))))
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(/.f32 (+.f32 (pow.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) 3) (pow.f32 (fma.f32 1/4 (pow.f32 u0 4) u0) 3)) (fma.f32 (pow.f32 u0 4) (.f32 (fma.f32 u0 1/3 1/2) (fma.f32 u0 1/3 1/2)) (.f32 (fma.f32 1/4 (pow.f32 u0 4) u0) (-.f32 (fma.f32 1/4 (pow.f32 u0 4) u0) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))))))
(pow.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) 1)
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(pow.f32 (sqrt.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) 2)
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(pow.f32 (cbrt.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) 3)
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(pow.f32 (.f32 (.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) 1/3)
(cbrt.f32 (.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 1/4 (pow.f32 u0 4)))) (.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 1/4 (pow.f32 u0 4)))) (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 1/4 (pow.f32 u0 4)))))))
(cbrt.f32 (pow.f32 (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)) 3))
(sqrt.f32 (.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(log.f32 (exp.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(cbrt.f32 (.f32 (.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))
(cbrt.f32 (.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 1/4 (pow.f32 u0 4)))) (.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 1/4 (pow.f32 u0 4)))) (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 1/4 (pow.f32 u0 4)))))))
(cbrt.f32 (pow.f32 (fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0)) 3))
(expm1.f32 (log1p.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(exp.f32 (log.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(exp.f32 (.f32 (log.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))) 1))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(log1p.f32 (expm1.f32 (fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(fma.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(fma.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(fma.f32 (fma.f32 u0 1/3 1/2) (.f32 u0 u0) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(fma.f32 1 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(fma.f32 1 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2)))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(fma.f32 (sqrt.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (sqrt.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (+.f32 u0 (*.f32 (pow.f32 u0 4) 1/4)))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(fma.f32 (sqrt.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (sqrt.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(fma.f32 (.f32 (cbrt.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (cbrt.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)))) (cbrt.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2))) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))
(fma.f32 (.f32 (cbrt.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (cbrt.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)))) (cbrt.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))) (.f32 (.f32 u0 u0) (fma.f32 u0 1/3 1/2)))
(+.f32 u0 (fma.f32 1/2 (.f32 u0 u0) (fma.f32 1/3 (pow.f32 u0 3) (.f32 1/4 (pow.f32 u0 4)))))
(fma.f32 1/4 (pow.f32 u0 4) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 1/3 1/2) u0))

localize74.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (.f32 alpha (*.f32 alpha alpha)) alpha)
✓	0.3b	(.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
✓	0.3b	(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 alpha (neg.f32 alpha)))
	13.9b	(log.f32 (sqrt.f32 (-.f32 1 u0)))

Compiler

Compiled 81 to 39 computations (51.9% saved)

series4.0ms (0%)

Counts

3 → 44

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u0	@	inf	(.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
1.0ms	alpha	@	0	(.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
0.0ms	u0	@	-inf	(.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
0.0ms	u0	@	0	(.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
0.0ms	u0	@	-inf	(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 alpha (neg.f32 alpha)))

rewrite94.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`distribute-rgt-in`
674×	`distribute-lft-in`
514×	`associate-/r/`
414×	`associate-/l/`
370×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	107
1	376	61
2	5489	55

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

Inputs

(/.f32 (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (*.f32 alpha (neg.f32 alpha)))

(*.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))

(*.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 alpha alpha)) (log.f32 (sqrt.f32 (-.f32 1 u0)))) (*.f32 (/.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 alpha alpha)) (log.f32 (sqrt.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 alpha alpha)) 0) (*.f32 (/.f32 (*.f32 alpha (pow.f32 alpha 3)) alpha) (/.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (neg.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 alpha alpha)) (log.f32 (*.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0))))) (*.f32 (/.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 alpha alpha)) (log.f32 (cbrt.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (/.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 alpha alpha))) (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (/.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (/.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 alpha alpha))) (*.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (/.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (*.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))) (/.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 alpha alpha))) (*.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) (/.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (*.f32 alpha (pow.f32 alpha 3)) alpha) (/.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (neg.f32 alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 alpha 3) (/.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (neg.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 alpha 3) (*.f32 (*.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 alpha 3) 0) (*.f32 alpha (pow.f32 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (pow.f32 alpha 3)) (*.f32 alpha (pow.f32 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 alpha (pow.f32 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 alpha 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 alpha alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 alpha (pow.f32 alpha 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 alpha (pow.f32 alpha 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 alpha (pow.f32 alpha 3))) (*.f32 alpha (pow.f32 alpha 3))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 alpha (pow.f32 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 alpha (pow.f32 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 alpha (pow.f32 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 alpha (pow.f32 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 alpha (pow.f32 alpha 3))) (*.f32 alpha (pow.f32 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 alpha 3) (*.f32 (*.f32 (pow.f32 alpha 3) (pow.f32 alpha 3)) (pow.f32 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 alpha (pow.f32 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 alpha (pow.f32 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 alpha (pow.f32 alpha 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 alpha (pow.f32 alpha 3))))))))

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1364×	`associate-r`
1218×	`associate-l`
852×	`associate-/l*`
774×	`*-commutative`
704×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	421	8694
1	1327	6848

Stop Event

1×	node limit

Counts

202 → 225

Calls

Call 1

Inputs
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(*.f32 u0 (pow.f32 alpha 2))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
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(log.f32 (exp.f32 (.f32 (/.f32 (.f32 alpha (pow.f32 alpha 3)) alpha) (/.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (neg.f32 alpha)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 (.f32 alpha (pow.f32 alpha 3)) alpha) (/.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (neg.f32 alpha))))))
(cbrt.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 alpha (pow.f32 alpha 3)) alpha) (/.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (neg.f32 alpha))) (.f32 (/.f32 (.f32 alpha (pow.f32 alpha 3)) alpha) (/.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (neg.f32 alpha)))) (.f32 (/.f32 (.f32 alpha (pow.f32 alpha 3)) alpha) (/.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (neg.f32 alpha)))))
(cbrt.f32 (/.f32 (.f32 (.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))))) (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))))) (.f32 (pow.f32 alpha 3) (pow.f32 alpha 3))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (.f32 alpha (pow.f32 alpha 3)) alpha) (/.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (neg.f32 alpha)))))
(exp.f32 (log.f32 (.f32 (/.f32 (.f32 alpha (pow.f32 alpha 3)) alpha) (/.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (neg.f32 alpha)))))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 (.f32 alpha (pow.f32 alpha 3)) alpha) (/.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (neg.f32 alpha)))) 1))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (.f32 alpha (pow.f32 alpha 3)) alpha) (/.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (neg.f32 alpha)))))
(+.f32 0 (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(+.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) (log.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 alpha (pow.f32 alpha 3)) (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(+.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 alpha (pow.f32 alpha 3))) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 alpha (pow.f32 alpha 3))))
(+.f32 (-.f32 0 (exp.f32 (log1p.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))))))) 1)
(+.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 0) (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(+.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) (log.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0))))) (.f32 (*.f32 alpha (pow.f32 alpha 3)) (log.f32 (cbrt.f32 (-.f32 1 u0)))))
(+.f32 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) 0) (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(+.f32 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) (log.f32 (cbrt.f32 (-.f32 1 u0)))) (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(+.f32 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(+.f32 (.f32 (.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (pow.f32 alpha 3)) 0) (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(+.f32 (.f32 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) 1) 0) (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(+.f32 (.f32 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) 1) (log.f32 (cbrt.f32 (-.f32 1 u0)))) (.f32 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) 1) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(+.f32 (.f32 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) 1) (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) 1) (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(+.f32 (.f32 (neg.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2)) 0) (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(+.f32 (.f32 (neg.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2)) (log.f32 (cbrt.f32 (-.f32 1 u0)))) (.f32 (neg.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2)) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(+.f32 (.f32 (neg.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2)) (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 (neg.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2)) (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0))))))
(+.f32 (.f32 0 (.f32 alpha (pow.f32 alpha 3))) (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))) (.f32 alpha (pow.f32 alpha 3))) (.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) (*.f32 alpha (pow.f32 alpha 3))))
(+.f32 (.f32 0 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2)) (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(+.f32 (.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) (.f32 (.f32 alpha (pow.f32 alpha 3)) 2)) (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 alpha (pow.f32 alpha 3)) 2)))
(+.f32 (.f32 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 alpha (pow.f32 alpha 3)) 2)) (.f32 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 alpha (pow.f32 alpha 3)) 2)))
(+.f32 (.f32 0 (.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (pow.f32 alpha 3))) (.f32 alpha (.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (pow.f32 alpha 3))))
(+.f32 (.f32 0 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) 1)) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) 1)))
(+.f32 (.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) 1)) (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) 1)))
(+.f32 (.f32 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) 1)) (.f32 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) 1)))
(+.f32 (.f32 0 (neg.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2))) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (neg.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2))))
(+.f32 (.f32 (log.f32 (cbrt.f32 (-.f32 1 u0))) (neg.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2))) (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u0)))) (neg.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2))))
(+.f32 (.f32 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (neg.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2))) (.f32 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (neg.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2))))
(-.f32 0 (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))) 1)
(pow.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) 1)
(pow.f32 (sqrt.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))))) 2)
(pow.f32 (cbrt.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))))) 3)
(pow.f32 (.f32 (.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))))) (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))))) 1/3)
(neg.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(sqrt.f32 (.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))))))
(log.f32 (exp.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))))))
(log.f32 (/.f32 1 (exp.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))))
(cbrt.f32 (.f32 (.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))) (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))))) (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))))))
(cbrt.f32 (.f32 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) (.f32 alpha (pow.f32 alpha 3))) (.f32 alpha (pow.f32 alpha 3))) (.f32 (.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))))
(cbrt.f32 (.f32 (.f32 (.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) (.f32 alpha (pow.f32 alpha 3))) (*.f32 alpha (pow.f32 alpha 3)))))
(expm1.f32 (log1p.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))))))
(exp.f32 (log.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))))))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))))) 1))
(log1p.f32 (expm1.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))))))
(+.f32 (.f32 (pow.f32 alpha 3) 0) (.f32 alpha (pow.f32 alpha 3)))
(+.f32 (.f32 0 (pow.f32 alpha 3)) (.f32 alpha (pow.f32 alpha 3)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 alpha (pow.f32 alpha 3)))) 1)
(pow.f32 alpha 4)
(pow.f32 (*.f32 alpha alpha) 2)
(pow.f32 (*.f32 alpha (pow.f32 alpha 3)) 1)
(pow.f32 (cbrt.f32 (*.f32 alpha (pow.f32 alpha 3))) 3)
(pow.f32 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) (.f32 alpha (pow.f32 alpha 3))) (*.f32 alpha (pow.f32 alpha 3))) 1/3)
(neg.f32 (*.f32 alpha (pow.f32 alpha 3)))
(sqrt.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) (*.f32 alpha (pow.f32 alpha 3))))
(log.f32 (exp.f32 (*.f32 alpha (pow.f32 alpha 3))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 alpha (pow.f32 alpha 3)))))
(cbrt.f32 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) (.f32 alpha (pow.f32 alpha 3))) (*.f32 alpha (pow.f32 alpha 3))))
(cbrt.f32 (.f32 (pow.f32 alpha 3) (.f32 (*.f32 (pow.f32 alpha 3) (pow.f32 alpha 3)) (pow.f32 alpha 3))))
(expm1.f32 (log1p.f32 (*.f32 alpha (pow.f32 alpha 3))))
(exp.f32 (log.f32 (*.f32 alpha (pow.f32 alpha 3))))
(exp.f32 (.f32 (log.f32 (.f32 alpha (pow.f32 alpha 3))) 1))
(log1p.f32 (expm1.f32 (*.f32 alpha (pow.f32 alpha 3))))

Outputs
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 2)))
(.f32 -2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (*.f32 alpha alpha)))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 (pow.f32 u0 3) (.f32 alpha alpha)) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha)))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/3 (pow.f32 u0 3)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(fma.f32 1/4 (.f32 (pow.f32 u0 4) (.f32 alpha alpha)) (fma.f32 u0 (.f32 alpha alpha) (fma.f32 1/3 (.f32 (pow.f32 u0 3) (.f32 alpha alpha)) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha))))))
(+.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/3 (pow.f32 u0 3)))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/4 (pow.f32 u0 4)) u0)))
(.f32 2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 4)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 2 (pow.f32 alpha 4)))
(.f32 2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 4)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 2 (pow.f32 alpha 4)))
(.f32 2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 4)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 2 (pow.f32 alpha 4)))
(.f32 2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 4)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 2 (pow.f32 alpha 4)))
(.f32 2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 4)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 2 (pow.f32 alpha 4)))
(.f32 2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 4)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 2 (pow.f32 alpha 4)))
(.f32 2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 4)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 2 (pow.f32 alpha 4)))
(.f32 2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 4)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 2 (pow.f32 alpha 4)))
(.f32 2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 4)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 2 (pow.f32 alpha 4)))
(.f32 2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 4)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 2 (pow.f32 alpha 4)))
(.f32 2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 4)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 2 (pow.f32 alpha 4)))
(.f32 2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 4)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 2 (pow.f32 alpha 4)))
(.f32 -1 (.f32 u0 (pow.f32 alpha 4)))
(neg.f32 (*.f32 u0 (pow.f32 alpha 4)))
(*.f32 (pow.f32 alpha 4) (neg.f32 u0))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 4))) (.f32 -1 (.f32 u0 (pow.f32 alpha 4))))
(fma.f32 -1/2 (.f32 (.f32 u0 u0) (pow.f32 alpha 4)) (neg.f32 (*.f32 u0 (pow.f32 alpha 4))))
(.f32 (pow.f32 alpha 4) (+.f32 (neg.f32 u0) (.f32 (*.f32 -1/2 u0) u0)))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 4))) (+.f32 (.f32 -1 (.f32 u0 (pow.f32 alpha 4))) (.f32 -1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 4)))))
(fma.f32 -1/2 (.f32 (.f32 u0 u0) (pow.f32 alpha 4)) (fma.f32 -1 (.f32 u0 (pow.f32 alpha 4)) (.f32 -1/3 (*.f32 (pow.f32 u0 3) (pow.f32 alpha 4)))))
(fma.f32 -1/2 (.f32 (.f32 u0 u0) (pow.f32 alpha 4)) (.f32 (pow.f32 alpha 4) (+.f32 (neg.f32 u0) (.f32 (pow.f32 u0 3) -1/3))))
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(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 2 (pow.f32 alpha 4)))
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(.f32 (.f32 alpha (pow.f32 alpha 3)) (+.f32 (log.f32 (*.f32 (cbrt.f32 (-.f32 1 u0)) (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0)))))
(.f32 (pow.f32 alpha 4) (+.f32 (.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0)))))
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(.f32 2 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (pow.f32 alpha 4)))
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 2 (pow.f32 alpha 4)))
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(.f32 (log.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u0)))) (.f32 (pow.f32 alpha 4) 4))
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(log.f32 (exp.f32 (*.f32 alpha (pow.f32 alpha 3))))
(pow.f32 alpha 4)
(log.f32 (+.f32 1 (expm1.f32 (*.f32 alpha (pow.f32 alpha 3)))))
(pow.f32 alpha 4)
(cbrt.f32 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) (.f32 alpha (pow.f32 alpha 3))) (*.f32 alpha (pow.f32 alpha 3))))
(cbrt.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) (.f32 (.f32 alpha alpha) (pow.f32 alpha 6))))
(cbrt.f32 (pow.f32 (pow.f32 alpha 4) 3))
(cbrt.f32 (.f32 (pow.f32 alpha 3) (.f32 (*.f32 (pow.f32 alpha 3) (pow.f32 alpha 3)) (pow.f32 alpha 3))))
(cbrt.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) (.f32 (.f32 alpha alpha) (pow.f32 alpha 6))))
(cbrt.f32 (pow.f32 (pow.f32 alpha 4) 3))
(expm1.f32 (log1p.f32 (*.f32 alpha (pow.f32 alpha 3))))
(pow.f32 alpha 4)
(exp.f32 (log.f32 (*.f32 alpha (pow.f32 alpha 3))))
(pow.f32 alpha 4)
(exp.f32 (.f32 (log.f32 (.f32 alpha (pow.f32 alpha 3))) 1))
(pow.f32 alpha 4)
(log1p.f32 (expm1.f32 (*.f32 alpha (pow.f32 alpha 3))))
(pow.f32 alpha 4)

eval639.0ms (6.5%)

Compiler: Compiled 51424 to 24320 computations (52.7% saved)

prune413.0ms (4.2%)

Pruning

34 alts after pruning (23 fresh and 11 done)

	Pruned	Kept	Total
New	1398	16	1414
Fresh	14	7	21
Picked	0	1	1
Done	0	10	10
Total	1412	34	1446

Error

Counts

1446 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(pow.f32 (cbrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 3)
	9.1b	(/.f32 (.f32 (pow.f32 alpha 4) (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
	2.9b	(/.f32 (.f32 (-.f32 0 (.f32 (.f32 alpha alpha) alpha)) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) (+.f32 0 (+.f32 (.f32 alpha alpha) (*.f32 0 alpha))))
	2.9b	(/.f32 (.f32 (-.f32 0 (.f32 alpha alpha)) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) alpha)
▶	4.5b	(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 u0 (+.f32 -1/2 (.f32 -1/4 u0))))) (.f32 alpha (neg.f32 alpha)))
	9.1b	(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 -1/2 u0))) (*.f32 alpha (neg.f32 alpha)))
✓	13.8b	(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 alpha (neg.f32 alpha)))
	0.5b	(/.f32 (.f32 alpha (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (/.f32 alpha (*.f32 alpha (neg.f32 alpha))))
▶	0.4b	(/.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 1 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
	2.8b	(-.f32 (-.f32 0 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 alpha alpha))) (.f32 (neg.f32 u0) (*.f32 alpha alpha)))
▶	25.7b	(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)
	2.2b	(+.f32 (+.f32 (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (.f32 alpha alpha)) (.f32 (.f32 (.f32 u0 1/3) (.f32 u0 u0)) (.f32 alpha alpha))) (.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 alpha alpha)))
	2.8b	(+.f32 (.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) (.f32 alpha alpha)) (+.f32 (.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 alpha alpha)) (.f32 (*.f32 alpha alpha) u0)))
▶	2.8b	(+.f32 0 (.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0)))
	0.4b	(.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)) (/.f32 (neg.f32 alpha) (/.f32 1 alpha)))
✓	0.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
	4.4b	(.f32 (.f32 (neg.f32 alpha) alpha) (.f32 u0 (+.f32 -1 (.f32 u0 -1/2))))
✓	0.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
✓	2.2b	(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 (.f32 u0 1/3) 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))
	4.4b	(.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) u0))
✓	2.8b	(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))))
✓	9.1b	(.f32 (.f32 alpha alpha) u0)
▶	2.9b	(.f32 (neg.f32 alpha) (/.f32 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)) alpha) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0)))
	3.0b	(.f32 (neg.f32 alpha) (/.f32 alpha (/.f32 (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0) (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)))))
	2.9b	(.f32 (neg.f32 alpha) (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) alpha) (.f32 (neg.f32 u0) alpha)))
	2.8b	(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (/.f32 u0 (+.f32 -1/2 (.f32 u0 1/3))) (.f32 u0 (-.f32 1/4 (.f32 u0 (*.f32 u0 1/9))))) u0)))
✓	2.8b	(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))
	4.4b	(.f32 (neg.f32 alpha) (.f32 alpha (.f32 u0 (+.f32 -1 (.f32 u0 -1/2)))))
✓	0.3b	(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
✓	13.1b	(.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))
	13.8b	(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
	4.4b	(.f32 alpha (.f32 alpha (+.f32 u0 (.f32 1/2 (.f32 u0 u0)))))
✓	9.1b	(.f32 alpha (.f32 alpha u0))
✓	2.3b	(exp.f32 (log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))

Compiler

Compiled 1144 to 751 computations (34.4% saved)

localize47.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(log1p.f32 (*.f32 u0 (neg.f32 u0)))
✓	0.2b	(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
	0.2b	(-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))
✓	0.3b	(/.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 1 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))

Compiler

Compiled 57 to 15 computations (73.7% saved)

series24.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	u0	@	inf	(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
1.0ms	u0	@	-inf	(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
0.0ms	alpha	@	0	(/.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 1 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
0.0ms	u0	@	inf	(/.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 1 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
0.0ms	u0	@	-inf	(/.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 1 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`associate-/r*`
1682×	`associate-/l*`
696×	`associate-/r/`
322×	`add-sqr-sqrt`
316×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	78
1	319	60
2	4554	28

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

Inputs
(/.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 1 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (neg.f32 (*.f32 u0 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))) (*.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (neg.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (neg.f32 (*.f32 u0 u0)))) (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (neg.f32 (*.f32 alpha alpha))) (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 alpha (*.f32 alpha (/.f32 1 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (*.f32 alpha alpha)) (/.f32 1 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) (sqrt.f32 (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) (*.f32 (cbrt.f32 (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) (cbrt.f32 (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) (cbrt.f32 (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))) (cbrt.f32 (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (neg.f32 (*.f32 alpha alpha))) (cbrt.f32 (neg.f32 (*.f32 alpha alpha)))) (*.f32 (*.f32 (cbrt.f32 (neg.f32 alpha)) (cbrt.f32 (neg.f32 alpha))) (/.f32 1 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (*.f32 (/.f32 (neg.f32 (*.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) (neg.f32 (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))) (neg.f32 (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (*.f32 (cbrt.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))) (cbrt.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))) (cbrt.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (cbrt.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 alpha (/.f32 1 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 alpha (*.f32 (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))) (*.f32 alpha (cbrt.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (cbrt.f32 (neg.f32 (*.f32 alpha alpha))) (cbrt.f32 (neg.f32 (*.f32 alpha alpha)))) 1) (*.f32 (/.f32 (*.f32 (cbrt.f32 (neg.f32 alpha)) (cbrt.f32 (neg.f32 alpha))) 1) (/.f32 1 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (cbrt.f32 (neg.f32 (*.f32 alpha alpha))) (cbrt.f32 (neg.f32 (*.f32 alpha alpha)))) (sqrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) 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simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1172×	`associate-+r+`
1082×	`+-commutative`
874×	`associate-r`
760×	`associate-l`
556×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	10597
1	1371	9117
2	7038	8909

Stop Event

1×	node limit

Counts

135 → 242

Calls

Call 1

Inputs
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(*.f32 u0 (pow.f32 alpha 2))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 u0 4) (pow.f32 alpha 2))) (+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))))
(.f32 -1 (.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))) (pow.f32 alpha 2)))
(+.f32 (.f32 -1 (.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))) (pow.f32 alpha 2))) (/.f32 (pow.f32 alpha 2) u0))
(+.f32 (.f32 -1 (.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))) (pow.f32 alpha 2))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (*.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2)))))
(+.f32 (.f32 -1 (.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))) (pow.f32 alpha 2))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))))))
(.f32 -1 (.f32 (-.f32 (.f32 -2 (log.f32 (/.f32 -1 u0))) (.f32 -1 (log.f32 (/.f32 -1 u0)))) (pow.f32 alpha 2)))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 (log.f32 (/.f32 -1 u0))) (.f32 -1 (log.f32 (/.f32 -1 u0)))) (pow.f32 alpha 2))) (/.f32 (pow.f32 alpha 2) u0))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 (log.f32 (/.f32 -1 u0))) (.f32 -1 (log.f32 (/.f32 -1 u0)))) (pow.f32 alpha 2))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (*.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2)))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 3))) (+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 (log.f32 (/.f32 -1 u0))) (.f32 -1 (log.f32 (/.f32 -1 u0)))) (pow.f32 alpha 2))) (+.f32 (/.f32 (pow.f32 alpha 2) u0) (.f32 1/2 (/.f32 (pow.f32 alpha 2) (pow.f32 u0 2))))))
(/.f32 -1 u0)
(-.f32 1/2 (/.f32 1 u0))
(-.f32 (+.f32 1/2 (*.f32 1/12 u0)) (/.f32 1 u0))
(-.f32 (+.f32 1/2 (+.f32 (.f32 1/12 u0) (.f32 1/24 (pow.f32 u0 2)))) (/.f32 1 u0))
(/.f32 1 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))))
(+.f32 (/.f32 1 (.f32 u0 (pow.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))) 2))) (/.f32 1 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (*.f32 -1 (log.f32 (/.f32 1 u0))))))
(+.f32 (/.f32 1 (.f32 (pow.f32 u0 2) (pow.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))) 3))) (+.f32 (/.f32 1 (.f32 u0 (pow.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))) 2))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (pow.f32 u0 2) (pow.f32 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0)))) 2)))) (/.f32 1 (-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u0)))) (.f32 -1 (log.f32 (/.f32 1 u0))))))))
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(cbrt.f32 (/.f32 (.f32 (.f32 (neg.f32 (.f32 alpha alpha)) (neg.f32 (.f32 alpha alpha))) (neg.f32 (.f32 alpha alpha))) (.f32 (.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (neg.f32 (.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(exp.f32 (log.f32 (.f32 (/.f32 (neg.f32 (.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 (neg.f32 (.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) 1))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (neg.f32 (.f32 alpha alpha)) 1) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))) 1)
(.f32 1 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))
(.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) 1)
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (sqrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(.f32 (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (.f32 (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))
(.f32 (.f32 (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))) (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(.f32 -1 (neg.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))))
(.f32 (neg.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) -1)
(.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (cbrt.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))) (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(.f32 (/.f32 (/.f32 1 (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (/.f32 1 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))) (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))
(.f32 (/.f32 1 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3))) (+.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))))
(.f32 (/.f32 (.f32 (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))) 1) (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(.f32 (pow.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) -1) (pow.f32 (sqrt.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))) -1))
(.f32 (pow.f32 (.f32 (cbrt.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (cbrt.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) -1) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))) -1))
(.f32 (/.f32 1 (neg.f32 (-.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0))))) (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))
(.f32 (/.f32 1 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3)))) (neg.f32 (+.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))))
(.f32 (/.f32 -1 (neg.f32 (-.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0))))) (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))
(.f32 (/.f32 -1 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3)))) (+.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))))
(.f32 (/.f32 1 (-.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))))) (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(.f32 (/.f32 1 (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) 3))) (+.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (-.f32 (.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))))))
(.f32 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (sqrt.f32 (-.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0))))) (sqrt.f32 (+.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3)))) (sqrt.f32 (+.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))
(.f32 (/.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (cbrt.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))) (cbrt.f32 (-.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0))))) (cbrt.f32 (+.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))
(.f32 (/.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (cbrt.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))))) (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3)))) (cbrt.f32 (+.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))
(.f32 (/.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)) (-.f32 (.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))))) (.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 u0) (log1p.f32 u0))))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))))))
(.f32 (/.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)) (-.f32 (pow.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) 3) (pow.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) 3))) (+.f32 (+.f32 (.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))))) (.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 u0) (log1p.f32 u0)))) (.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (*.f32 (log1p.f32 u0) (log1p.f32 u0)))))
(.f32 (/.f32 (+.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (-.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3)) (.f32 (pow.f32 (log1p.f32 u0) 3) (pow.f32 (log1p.f32 u0) 3)))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3)))
(.f32 (/.f32 (+.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (-.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u0) 3) 3))) (+.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3)) (+.f32 (.f32 (pow.f32 (log1p.f32 u0) 3) (pow.f32 (log1p.f32 u0) 3)) (.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3)))))
(pow.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))) 1)
(pow.f32 (sqrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) 2)
(pow.f32 (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) 3)
(pow.f32 (.f32 (.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) 1/3)
(pow.f32 (/.f32 1 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) -1)
(sqrt.f32 (.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(log.f32 (exp.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))
(cbrt.f32 (.f32 (.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(expm1.f32 (log1p.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(exp.f32 (log.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(exp.f32 (.f32 (log.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) -1))
(exp.f32 (.f32 (log.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) 1))
(log1p.f32 (expm1.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))

Outputs
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 (neg.f32 (.f32 alpha alpha)) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log.f32 (+.f32 1 u0))))
(.f32 alpha (.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (neg.f32 alpha)))
(.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 u0) (log1p.f32 (*.f32 u0 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 (neg.f32 (.f32 alpha alpha)) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log.f32 (+.f32 1 u0))))
(.f32 alpha (.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (neg.f32 alpha)))
(.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 u0) (log1p.f32 (*.f32 u0 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 (neg.f32 (.f32 alpha alpha)) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log.f32 (+.f32 1 u0))))
(.f32 alpha (.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (neg.f32 alpha)))
(.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 u0) (log1p.f32 (*.f32 u0 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 (neg.f32 (.f32 alpha alpha)) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log.f32 (+.f32 1 u0))))
(.f32 alpha (.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (neg.f32 alpha)))
(.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 u0) (log1p.f32 (*.f32 u0 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 (neg.f32 (.f32 alpha alpha)) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log.f32 (+.f32 1 u0))))
(.f32 alpha (.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (neg.f32 alpha)))
(.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 u0) (log1p.f32 (*.f32 u0 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 (neg.f32 (.f32 alpha alpha)) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log.f32 (+.f32 1 u0))))
(.f32 alpha (.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (neg.f32 alpha)))
(.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 u0) (log1p.f32 (*.f32 u0 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 (neg.f32 (.f32 alpha alpha)) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log.f32 (+.f32 1 u0))))
(.f32 alpha (.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (neg.f32 alpha)))
(.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 u0) (log1p.f32 (*.f32 u0 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
(.f32 (neg.f32 (.f32 alpha alpha)) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log.f32 (+.f32 1 u0))))
(.f32 alpha (.f32 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (neg.f32 alpha)))
(.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 u0) (log1p.f32 (*.f32 u0 (neg.f32 u0)))))
(.f32 -1 (.f32 (pow.f32 alpha 2) (-.f32 (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u0 2)))) (log.f32 (+.f32 u0 1)))))
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(.f32 (/.f32 (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)) (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 6) (pow.f32 (log1p.f32 u0) 6))) (fma.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (.f32 (log1p.f32 u0) (log1p.f32 u0))) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 4) (pow.f32 (log1p.f32 u0) 4))))
(.f32 (/.f32 (+.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (-.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3)) (.f32 (pow.f32 (log1p.f32 u0) 3) (pow.f32 (log1p.f32 u0) 3)))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3)))
(/.f32 (.f32 (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3))) (-.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) 6) (pow.f32 (log1p.f32 u0) 6)))
(.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3)) (/.f32 (fma.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) 6) (pow.f32 (log1p.f32 u0) 6))))
(.f32 (/.f32 (+.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (+.f32 (.f32 (log1p.f32 u0) (log1p.f32 u0)) (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (-.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u0) 3) 3))) (+.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3)) (+.f32 (.f32 (pow.f32 (log1p.f32 u0) 3) (pow.f32 (log1p.f32 u0) 3)) (.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3)))))
(.f32 (/.f32 (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (-.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u0) 3) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) 6) (+.f32 (pow.f32 (log1p.f32 u0) 6) (.f32 (pow.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) 3) (pow.f32 (log1p.f32 u0) 3)))))
(/.f32 (.f32 (fma.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0))) (.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 6) (fma.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) (pow.f32 (log1p.f32 u0) 3) (pow.f32 (log1p.f32 u0) 6)))) (-.f32 (pow.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u0) 3) 3)))
(pow.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))) 1)
(/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))
(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(pow.f32 (sqrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) 2)
(/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))
(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(pow.f32 (cbrt.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) 3)
(/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))
(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(pow.f32 (.f32 (.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) 1/3)
(cbrt.f32 (.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (/.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))))
(cbrt.f32 (pow.f32 (/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) 3))
(pow.f32 (/.f32 1 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))) -1)
(/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))
(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(sqrt.f32 (.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))
(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(log.f32 (exp.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))
(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))))))
(/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))
(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(cbrt.f32 (.f32 (.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(cbrt.f32 (.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (/.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))))
(cbrt.f32 (pow.f32 (/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))) 3))
(expm1.f32 (log1p.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))
(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(exp.f32 (log.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))
(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(exp.f32 (.f32 (log.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) -1))
(/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))
(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(exp.f32 (.f32 (log.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)))) 1))
(/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))
(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(log1p.f32 (expm1.f32 (/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(/.f32 1 (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))
(/.f32 1 (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f32 (.f32 alpha alpha) u0)
✓	24.3b	(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)

Compiler

Compiled 29 to 11 computations (62.1% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)
0.0ms	alpha	@	inf	(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)
0.0ms	u0	@	-inf	(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)
0.0ms	u0	@	inf	(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)
0.0ms	alpha	@	-inf	(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1896×	`add-sqr-sqrt`
1878×	`*-un-lft-identity`
1758×	`add-cube-cbrt`
1744×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	196	13
2	2697	13

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (*.f32 (*.f32 alpha alpha) u0) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 (-.f32 (*.f32 (*.f32 alpha alpha) u0) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 alpha alpha) u0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 (*.f32 alpha alpha) u0) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (*.f32 alpha alpha) u0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 alpha (*.f32 alpha u0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 alpha alpha) u0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u0 (*.f32 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 alpha alpha) u0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u0) (*.f32 (sqrt.f32 u0) (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (*.f32 alpha alpha) u0)) (sqrt.f32 (*.f32 (*.f32 alpha alpha) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 alpha) (*.f32 (sqrt.f32 alpha) (*.f32 alpha u0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 alpha alpha)) (*.f32 (cbrt.f32 alpha) (*.f32 alpha u0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (*.f32 alpha alpha)) (cbrt.f32 (*.f32 alpha alpha))) (*.f32 (cbrt.f32 (*.f32 alpha alpha)) u0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 u0) (cbrt.f32 u0)) (*.f32 (cbrt.f32 u0) (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (*.f32 alpha alpha) u0)) (*.f32 (cbrt.f32 (*.f32 (*.f32 alpha alpha) u0)) (cbrt.f32 (*.f32 (*.f32 alpha alpha) u0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (*.f32 (*.f32 alpha alpha) u0)) (cbrt.f32 (*.f32 (*.f32 alpha alpha) u0))) (cbrt.f32 (*.f32 (*.f32 alpha alpha) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 alpha u0) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) 1) (/.f32 1 (+.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (pow.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) 3) 1) (/.f32 1 (+.f32 (*.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) (+.f32 1 (*.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 alpha alpha) (sqrt.f32 u0)) (sqrt.f32 u0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (cbrt.f32 u0) (cbrt.f32 u0))) (cbrt.f32 u0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u0 (*.f32 (cbrt.f32 (*.f32 alpha alpha)) (cbrt.f32 (*.f32 alpha alpha)))) (cbrt.f32 (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (sqrt.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) 1) (-.f32 (sqrt.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) 1) (-.f32 (*.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (*.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) (+.f32 1 (*.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) 1))) (-.f32 (pow.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) 1) (+.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) 1) (-.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) 3) 1) (+.f32 (*.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) (+.f32 1 (*.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) 3) 1) (+.f32 (*.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) (-.f32 1 (*.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (*.f32 (-.f32 (*.f32 (*.f32 alpha alpha) u0) 1) (-.f32 (*.f32 (*.f32 alpha alpha) u0) 1))) (-.f32 1 (-.f32 (*.f32 (*.f32 alpha alpha) u0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (-.f32 (*.f32 (*.f32 alpha alpha) u0) 1) 3)) (+.f32 1 (-.f32 (*.f32 (-.f32 (*.f32 (*.f32 alpha alpha) u0) 1) (-.f32 (*.f32 (*.f32 alpha alpha) u0) 1)) (-.f32 (*.f32 (*.f32 alpha alpha) u0) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (*.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) 1)) (neg.f32 (+.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) 3) 1)) (neg.f32 (+.f32 (*.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) (+.f32 1 (*.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 alpha alpha) u0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (*.f32 alpha alpha) u0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (*.f32 alpha alpha) u0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) u0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 (*.f32 alpha alpha) u0) (*.f32 (*.f32 alpha alpha) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 (*.f32 alpha alpha) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 alpha alpha) u0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) u0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (*.f32 alpha alpha) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 alpha alpha) u0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (*.f32 alpha alpha) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) (sqrt.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (cbrt.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) (cbrt.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0)))) (cbrt.f32 (+.f32 1 (*.f32 (*.f32 alpha alpha) u0))) -1)))))

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1168×	`times-frac`
728×	`associate-+l+`
698×	`unswap-sqr`
696×	`associate-+r+`
672×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1619
1	334	1485
2	1645	1431

Stop Event

1×	node limit

Counts

75 → 65

Calls

Call 1

Inputs
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(*.f32 u0 (pow.f32 alpha 2))
(+.f32 1 (-.f32 (.f32 (.f32 alpha alpha) u0) 1))
(+.f32 1 (.f32 (-.f32 (.f32 (*.f32 alpha alpha) u0) 1) 1))
(+.f32 (.f32 (.f32 alpha alpha) u0) 0)
(+.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) -1)
(+.f32 (-.f32 (.f32 (.f32 alpha alpha) u0) 1) 1)
(+.f32 -1 (+.f32 1 (.f32 (.f32 alpha alpha) u0)))
(.f32 1 (.f32 (*.f32 alpha alpha) u0))
(.f32 alpha (.f32 alpha u0))
(.f32 (.f32 alpha alpha) u0)
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 (*.f32 alpha alpha) u0) 1)
(.f32 (sqrt.f32 u0) (.f32 (sqrt.f32 u0) (*.f32 alpha alpha)))
(.f32 (sqrt.f32 (.f32 (.f32 alpha alpha) u0)) (sqrt.f32 (.f32 (*.f32 alpha alpha) u0)))
(.f32 (sqrt.f32 alpha) (.f32 (sqrt.f32 alpha) (*.f32 alpha u0)))
(.f32 (cbrt.f32 (.f32 alpha alpha)) (.f32 (cbrt.f32 alpha) (.f32 alpha u0)))
(.f32 (.f32 (cbrt.f32 (.f32 alpha alpha)) (cbrt.f32 (.f32 alpha alpha))) (.f32 (cbrt.f32 (.f32 alpha alpha)) u0))
(.f32 (.f32 (cbrt.f32 u0) (cbrt.f32 u0)) (.f32 (cbrt.f32 u0) (.f32 alpha alpha)))
(.f32 (cbrt.f32 (.f32 (.f32 alpha alpha) u0)) (.f32 (cbrt.f32 (.f32 (.f32 alpha alpha) u0)) (cbrt.f32 (.f32 (.f32 alpha alpha) u0))))
(.f32 (.f32 (cbrt.f32 (.f32 (.f32 alpha alpha) u0)) (cbrt.f32 (.f32 (.f32 alpha alpha) u0))) (cbrt.f32 (.f32 (.f32 alpha alpha) u0)))
(.f32 (.f32 alpha u0) alpha)
(.f32 (-.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) 1) (/.f32 1 (+.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)))
(.f32 (-.f32 (pow.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 3) 1) (/.f32 1 (+.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) (+.f32 1 (.f32 (+.f32 1 (.f32 (*.f32 alpha alpha) u0)) 1)))))
(.f32 (.f32 (*.f32 alpha alpha) (sqrt.f32 u0)) (sqrt.f32 u0))
(.f32 (.f32 (.f32 alpha alpha) (.f32 (cbrt.f32 u0) (cbrt.f32 u0))) (cbrt.f32 u0))
(.f32 (.f32 u0 (.f32 (cbrt.f32 (.f32 alpha alpha)) (cbrt.f32 (.f32 alpha alpha)))) (cbrt.f32 (.f32 alpha alpha)))
(.f32 (+.f32 (sqrt.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0))) 1) (-.f32 (sqrt.f32 (+.f32 1 (.f32 (*.f32 alpha alpha) u0))) 1))
(/.f32 1 (/.f32 (+.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1) (-.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (*.f32 alpha alpha) u0))) 1)))
(/.f32 1 (/.f32 (+.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) (+.f32 1 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1))) (-.f32 (pow.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 3) 1)))
(/.f32 (-.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) 1) (+.f32 (+.f32 1 (.f32 (*.f32 alpha alpha) u0)) 1))
(/.f32 (-.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) 1) (-.f32 (+.f32 1 (.f32 (*.f32 alpha alpha) u0)) -1))
(/.f32 (-.f32 (pow.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 3) 1) (+.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) (+.f32 1 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1))))
(/.f32 (-.f32 (pow.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 3) 1) (+.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) (-.f32 1 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) -1))))
(/.f32 (-.f32 1 (.f32 (-.f32 (.f32 (.f32 alpha alpha) u0) 1) (-.f32 (.f32 (.f32 alpha alpha) u0) 1))) (-.f32 1 (-.f32 (.f32 (*.f32 alpha alpha) u0) 1)))
(/.f32 (+.f32 1 (pow.f32 (-.f32 (.f32 (.f32 alpha alpha) u0) 1) 3)) (+.f32 1 (-.f32 (.f32 (-.f32 (.f32 (.f32 alpha alpha) u0) 1) (-.f32 (.f32 (.f32 alpha alpha) u0) 1)) (-.f32 (.f32 (*.f32 alpha alpha) u0) 1))))
(/.f32 (neg.f32 (-.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) 1)) (neg.f32 (+.f32 (+.f32 1 (.f32 (*.f32 alpha alpha) u0)) 1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 3) 1)) (neg.f32 (+.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) (+.f32 1 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)))))
(pow.f32 (.f32 (.f32 alpha alpha) u0) 1)
(pow.f32 (sqrt.f32 (.f32 (.f32 alpha alpha) u0)) 2)
(pow.f32 (cbrt.f32 (.f32 (.f32 alpha alpha) u0)) 3)
(pow.f32 (pow.f32 (.f32 (.f32 alpha alpha) u0) 3) 1/3)
(sqrt.f32 (.f32 (.f32 (.f32 alpha alpha) u0) (.f32 (*.f32 alpha alpha) u0)))
(log.f32 (exp.f32 (.f32 (.f32 alpha alpha) u0)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 alpha alpha) u0))))
(cbrt.f32 (pow.f32 (.f32 (.f32 alpha alpha) u0) 3))
(expm1.f32 (log.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0))))
(exp.f32 (log.f32 (.f32 (.f32 alpha alpha) u0)))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 alpha alpha) u0)) 1))
(log1p.f32 (expm1.f32 (.f32 (.f32 alpha alpha) u0)))
(fma.f32 1 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) -1)
(fma.f32 (sqrt.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0))) (sqrt.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0))) -1)
(fma.f32 (.f32 (cbrt.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0))) (cbrt.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)))) (cbrt.f32 (+.f32 1 (.f32 (*.f32 alpha alpha) u0))) -1)

Outputs
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(+.f32 1 (-.f32 (.f32 (.f32 alpha alpha) u0) 1))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(+.f32 1 (.f32 (-.f32 (.f32 (*.f32 alpha alpha) u0) 1) 1))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(+.f32 (.f32 (.f32 alpha alpha) u0) 0)
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(+.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) -1)
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(+.f32 (-.f32 (.f32 (.f32 alpha alpha) u0) 1) 1)
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(+.f32 -1 (+.f32 1 (.f32 (.f32 alpha alpha) u0)))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 1 (.f32 (*.f32 alpha alpha) u0))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 alpha u0))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 alpha alpha) u0)
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 alpha (.f32 u0 alpha))
(.f32 (.f32 (*.f32 alpha alpha) u0) 1)
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 (sqrt.f32 u0) (.f32 (sqrt.f32 u0) (*.f32 alpha alpha)))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 (sqrt.f32 (.f32 (.f32 alpha alpha) u0)) (sqrt.f32 (.f32 (*.f32 alpha alpha) u0)))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 (sqrt.f32 alpha) (.f32 (sqrt.f32 alpha) (*.f32 alpha u0)))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 (cbrt.f32 (.f32 alpha alpha)) (.f32 (cbrt.f32 alpha) (.f32 alpha u0)))
(.f32 (cbrt.f32 (.f32 alpha alpha)) (.f32 (.f32 u0 alpha) (cbrt.f32 alpha)))
(.f32 (cbrt.f32 (.f32 alpha alpha)) (.f32 u0 (.f32 alpha (cbrt.f32 alpha))))
(.f32 (.f32 u0 alpha) (.f32 (cbrt.f32 (.f32 alpha alpha)) (cbrt.f32 alpha)))
(.f32 (.f32 (cbrt.f32 (.f32 alpha alpha)) (cbrt.f32 (.f32 alpha alpha))) (.f32 (cbrt.f32 (.f32 alpha alpha)) u0))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 (cbrt.f32 u0) (cbrt.f32 u0)) (.f32 (cbrt.f32 u0) (.f32 alpha alpha)))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 (cbrt.f32 (.f32 (.f32 alpha alpha) u0)) (.f32 (cbrt.f32 (.f32 (.f32 alpha alpha) u0)) (cbrt.f32 (.f32 (.f32 alpha alpha) u0))))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 (cbrt.f32 (.f32 (.f32 alpha alpha) u0)) (cbrt.f32 (.f32 (.f32 alpha alpha) u0))) (cbrt.f32 (.f32 (.f32 alpha alpha) u0)))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 alpha u0) alpha)
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 (-.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) 1) (/.f32 1 (+.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 (-.f32 (pow.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 3) 1) (/.f32 1 (+.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) (+.f32 1 (.f32 (+.f32 1 (.f32 (*.f32 alpha alpha) u0)) 1)))))
(/.f32 (.f32 (+.f32 (pow.f32 (+.f32 1 (.f32 alpha (.f32 u0 alpha))) 3) -1) 1) (fma.f32 (+.f32 1 (.f32 alpha (.f32 u0 alpha))) (+.f32 1 (.f32 alpha (.f32 u0 alpha))) (+.f32 1 (+.f32 1 (.f32 alpha (*.f32 u0 alpha))))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 u0 (.f32 alpha alpha) 1) 3)) (fma.f32 (fma.f32 u0 (.f32 alpha alpha) 1) (fma.f32 u0 (.f32 alpha alpha) 1) (+.f32 2 (.f32 u0 (*.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 u0 (.f32 alpha alpha) 1) 3)) (+.f32 1 (.f32 (fma.f32 u0 (.f32 alpha alpha) 1) (+.f32 2 (.f32 u0 (*.f32 alpha alpha))))))
(.f32 (.f32 (*.f32 alpha alpha) (sqrt.f32 u0)) (sqrt.f32 u0))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 (.f32 alpha alpha) (.f32 (cbrt.f32 u0) (cbrt.f32 u0))) (cbrt.f32 u0))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 u0 (.f32 (cbrt.f32 (.f32 alpha alpha)) (cbrt.f32 (.f32 alpha alpha)))) (cbrt.f32 (.f32 alpha alpha)))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(.f32 (+.f32 (sqrt.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0))) 1) (-.f32 (sqrt.f32 (+.f32 1 (.f32 (*.f32 alpha alpha) u0))) 1))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(/.f32 1 (/.f32 (+.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1) (-.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (*.f32 alpha alpha) u0))) 1)))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(/.f32 1 (/.f32 (+.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) (+.f32 1 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1))) (-.f32 (pow.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 3) 1)))
(/.f32 (.f32 (+.f32 (pow.f32 (+.f32 1 (.f32 alpha (.f32 u0 alpha))) 3) -1) 1) (fma.f32 (+.f32 1 (.f32 alpha (.f32 u0 alpha))) (+.f32 1 (.f32 alpha (.f32 u0 alpha))) (+.f32 1 (+.f32 1 (.f32 alpha (*.f32 u0 alpha))))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 u0 (.f32 alpha alpha) 1) 3)) (fma.f32 (fma.f32 u0 (.f32 alpha alpha) 1) (fma.f32 u0 (.f32 alpha alpha) 1) (+.f32 2 (.f32 u0 (*.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 u0 (.f32 alpha alpha) 1) 3)) (+.f32 1 (.f32 (fma.f32 u0 (.f32 alpha alpha) 1) (+.f32 2 (.f32 u0 (*.f32 alpha alpha))))))
(/.f32 (-.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) 1) (+.f32 (+.f32 1 (.f32 (*.f32 alpha alpha) u0)) 1))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(/.f32 (-.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) 1) (-.f32 (+.f32 1 (.f32 (*.f32 alpha alpha) u0)) -1))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(/.f32 (-.f32 (pow.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 3) 1) (+.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) (+.f32 1 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1))))
(/.f32 (.f32 (+.f32 (pow.f32 (+.f32 1 (.f32 alpha (.f32 u0 alpha))) 3) -1) 1) (fma.f32 (+.f32 1 (.f32 alpha (.f32 u0 alpha))) (+.f32 1 (.f32 alpha (.f32 u0 alpha))) (+.f32 1 (+.f32 1 (.f32 alpha (*.f32 u0 alpha))))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 u0 (.f32 alpha alpha) 1) 3)) (fma.f32 (fma.f32 u0 (.f32 alpha alpha) 1) (fma.f32 u0 (.f32 alpha alpha) 1) (+.f32 2 (.f32 u0 (*.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 u0 (.f32 alpha alpha) 1) 3)) (+.f32 1 (.f32 (fma.f32 u0 (.f32 alpha alpha) 1) (+.f32 2 (.f32 u0 (*.f32 alpha alpha))))))
(/.f32 (-.f32 (pow.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 3) 1) (+.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) (-.f32 1 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) -1))))
(/.f32 (.f32 (+.f32 (pow.f32 (+.f32 1 (.f32 alpha (.f32 u0 alpha))) 3) -1) 1) (fma.f32 (+.f32 1 (.f32 alpha (.f32 u0 alpha))) (+.f32 1 (.f32 alpha (.f32 u0 alpha))) (+.f32 1 (+.f32 1 (.f32 alpha (*.f32 u0 alpha))))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 u0 (.f32 alpha alpha) 1) 3)) (fma.f32 (fma.f32 u0 (.f32 alpha alpha) 1) (fma.f32 u0 (.f32 alpha alpha) 1) (+.f32 2 (.f32 u0 (*.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 u0 (.f32 alpha alpha) 1) 3)) (+.f32 1 (.f32 (fma.f32 u0 (.f32 alpha alpha) 1) (+.f32 2 (.f32 u0 (*.f32 alpha alpha))))))
(/.f32 (-.f32 1 (.f32 (-.f32 (.f32 (.f32 alpha alpha) u0) 1) (-.f32 (.f32 (.f32 alpha alpha) u0) 1))) (-.f32 1 (-.f32 (.f32 (*.f32 alpha alpha) u0) 1)))
(/.f32 (-.f32 1 (.f32 (fma.f32 (.f32 alpha alpha) u0 -1) (fma.f32 (.f32 alpha alpha) u0 -1))) (-.f32 1 (fma.f32 (.f32 alpha alpha) u0 -1)))
(/.f32 (-.f32 1 (.f32 (fma.f32 u0 (.f32 alpha alpha) -1) (fma.f32 u0 (.f32 alpha alpha) -1))) (-.f32 1 (fma.f32 u0 (.f32 alpha alpha) -1)))
(/.f32 (-.f32 1 (.f32 (fma.f32 u0 (.f32 alpha alpha) -1) (fma.f32 u0 (.f32 alpha alpha) -1))) (-.f32 2 (.f32 u0 (*.f32 alpha alpha))))
(/.f32 (+.f32 1 (pow.f32 (-.f32 (.f32 (.f32 alpha alpha) u0) 1) 3)) (+.f32 1 (-.f32 (.f32 (-.f32 (.f32 (.f32 alpha alpha) u0) 1) (-.f32 (.f32 (.f32 alpha alpha) u0) 1)) (-.f32 (.f32 (*.f32 alpha alpha) u0) 1))))
(/.f32 (+.f32 1 (pow.f32 (fma.f32 (.f32 alpha alpha) u0 -1) 3)) (+.f32 1 (-.f32 (.f32 (fma.f32 (.f32 alpha alpha) u0 -1) (fma.f32 (.f32 alpha alpha) u0 -1)) (fma.f32 (*.f32 alpha alpha) u0 -1))))
(/.f32 (+.f32 1 (pow.f32 (fma.f32 u0 (.f32 alpha alpha) -1) 3)) (+.f32 1 (.f32 (fma.f32 u0 (.f32 alpha alpha) -1) (-.f32 (fma.f32 u0 (.f32 alpha alpha) -1) 1))))
(/.f32 (+.f32 1 (pow.f32 (fma.f32 u0 (.f32 alpha alpha) -1) 3)) (+.f32 1 (.f32 (fma.f32 u0 (.f32 alpha alpha) -1) (+.f32 (.f32 u0 (*.f32 alpha alpha)) -2))))
(/.f32 (neg.f32 (-.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) 1)) (neg.f32 (+.f32 (+.f32 1 (.f32 (*.f32 alpha alpha) u0)) 1)))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 3) 1)) (neg.f32 (+.f32 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) (+.f32 1 (.f32 (.f32 alpha alpha) u0))) (+.f32 1 (.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)))))
(/.f32 (.f32 (+.f32 (pow.f32 (+.f32 1 (.f32 alpha (.f32 u0 alpha))) 3) -1) 1) (fma.f32 (+.f32 1 (.f32 alpha (.f32 u0 alpha))) (+.f32 1 (.f32 alpha (.f32 u0 alpha))) (+.f32 1 (+.f32 1 (.f32 alpha (*.f32 u0 alpha))))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 u0 (.f32 alpha alpha) 1) 3)) (fma.f32 (fma.f32 u0 (.f32 alpha alpha) 1) (fma.f32 u0 (.f32 alpha alpha) 1) (+.f32 2 (.f32 u0 (*.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 u0 (.f32 alpha alpha) 1) 3)) (+.f32 1 (.f32 (fma.f32 u0 (.f32 alpha alpha) 1) (+.f32 2 (.f32 u0 (*.f32 alpha alpha))))))
(pow.f32 (.f32 (.f32 alpha alpha) u0) 1)
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(pow.f32 (sqrt.f32 (.f32 (.f32 alpha alpha) u0)) 2)
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(pow.f32 (cbrt.f32 (.f32 (.f32 alpha alpha) u0)) 3)
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(pow.f32 (pow.f32 (.f32 (.f32 alpha alpha) u0) 3) 1/3)
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(sqrt.f32 (.f32 (.f32 (.f32 alpha alpha) u0) (.f32 (*.f32 alpha alpha) u0)))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(log.f32 (exp.f32 (.f32 (.f32 alpha alpha) u0)))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 alpha alpha) u0))))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(cbrt.f32 (pow.f32 (.f32 (.f32 alpha alpha) u0) 3))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(expm1.f32 (log.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0))))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(exp.f32 (log.f32 (.f32 (.f32 alpha alpha) u0)))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 alpha alpha) u0)) 1))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(log1p.f32 (expm1.f32 (.f32 (.f32 alpha alpha) u0)))
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(fma.f32 1 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) -1)
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(fma.f32 (sqrt.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0))) (sqrt.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0))) -1)
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))
(fma.f32 (.f32 (cbrt.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0))) (cbrt.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)))) (cbrt.f32 (+.f32 1 (.f32 (*.f32 alpha alpha) u0))) -1)
(.f32 alpha (.f32 u0 alpha))
(.f32 u0 (.f32 alpha alpha))

localize61.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))))
✓	0.3b	(.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))
✓	0.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))
	0.3b	(*.f32 u0 -1/3)

Compiler

Compiled 82 to 49 computations (40.2% saved)

series2.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	u0	@	-inf	(.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))
0.0ms	u0	@	inf	(.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))
0.0ms	u0	@	0	(.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))
0.0ms	alpha	@	0	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))
0.0ms	u0	@	-inf	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))

rewrite94.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`associate-*r/`
1290×	`associate-*l/`
346×	`add-sqr-sqrt`
332×	`pow1`
332×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	91
1	335	75
2	4591	75

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))
(.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))
(.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))))))))

simplify171.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1178×	`associate-r`
1138×	`associate-l`
780×	`associate-/l*`
664×	`*-commutative`
640×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	13283
1	1307	11393
2	6498	11357

Stop Event

1×	node limit

Counts

223 → 284

Calls

Call 1

Inputs
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(*.f32 u0 (pow.f32 alpha 2))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (+.f32 (.f32 1/3 (.f32 (pow.f32 u0 3) (pow.f32 alpha 2))) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))))
(*.f32 -1/2 u0)
(+.f32 (.f32 -1/3 (pow.f32 u0 2)) (.f32 -1/2 u0))
(+.f32 (.f32 -1/3 (pow.f32 u0 2)) (.f32 -1/2 u0))
(+.f32 (.f32 -1/3 (pow.f32 u0 2)) (.f32 -1/2 u0))
(*.f32 -1/3 (pow.f32 u0 2))
(+.f32 (.f32 -1/3 (pow.f32 u0 2)) (.f32 -1/2 u0))
(+.f32 (.f32 -1/3 (pow.f32 u0 2)) (.f32 -1/2 u0))
(+.f32 (.f32 -1/3 (pow.f32 u0 2)) (.f32 -1/2 u0))
(*.f32 -1/3 (pow.f32 u0 2))
(+.f32 (.f32 -1/3 (pow.f32 u0 2)) (.f32 -1/2 u0))
(+.f32 (.f32 -1/3 (pow.f32 u0 2)) (.f32 -1/2 u0))
(+.f32 (.f32 -1/3 (pow.f32 u0 2)) (.f32 -1/2 u0))
(*.f32 -1/2 (pow.f32 u0 2))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(*.f32 -1/3 (pow.f32 u0 3))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(*.f32 -1/3 (pow.f32 u0 3))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(+.f32 (.f32 -1/2 (pow.f32 u0 2)) (.f32 -1/3 (pow.f32 u0 3)))
(+.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 (*.f32 alpha (neg.f32 alpha)) (neg.f32 u0)))
(+.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (neg.f32 u0)) (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))))
(+.f32 (.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) (.f32 alpha (neg.f32 alpha))) (.f32 (neg.f32 u0) (*.f32 alpha (neg.f32 alpha))))
(+.f32 (.f32 (neg.f32 u0) (.f32 alpha (neg.f32 alpha))) (.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) (*.f32 alpha (neg.f32 alpha))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))) 1)
(/.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 (+.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) u0) (-.f32 (.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 u0))))
(/.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 (+.f32 (.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3)))) (+.f32 (.f32 u0 u0) (.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) u0))) (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 3) (pow.f32 u0 3))))
(/.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 u0))) (+.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0))
(/.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 3) (pow.f32 u0 3))) (+.f32 (.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3)))) (+.f32 (.f32 u0 u0) (.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 u0)) (.f32 alpha (neg.f32 alpha))) (+.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0))
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(pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 1)
(pow.f32 (sqrt.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))) 2)
(pow.f32 (cbrt.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))) 3)
(pow.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 3) 1/3)
(sqrt.f32 (.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))))
(log.f32 (exp.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))))))
(cbrt.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 3))
(expm1.f32 (log1p.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))))
(exp.f32 (log.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))))
(exp.f32 (.f32 (log.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3)))) 1))
(log1p.f32 (expm1.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))))

Outputs
(.f32 -1 (.f32 (-.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1/3 u0) 1/2)) u0) (pow.f32 alpha 2)))
(neg.f32 (.f32 (.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 -1/3 u0 -1/2) (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0))))
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(/.f32 u0 (/.f32 (fma.f32 u0 -1/3 1/2) (.f32 u0 (fma.f32 u0 (.f32 1/9 u0) -1/4))))
(/.f32 (.f32 (neg.f32 (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)))) (.f32 u0 u0)) (neg.f32 (-.f32 -1/2 (.f32 u0 -1/3))))
(/.f32 (+.f32 (.f32 (.f32 u0 u0) 1/9) -1/4) (/.f32 (fma.f32 u0 -1/3 1/2) (*.f32 u0 u0)))
(/.f32 u0 (/.f32 (fma.f32 u0 -1/3 1/2) (.f32 u0 (fma.f32 u0 (.f32 1/9 u0) -1/4))))
(/.f32 (.f32 (neg.f32 (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3))) (.f32 u0 u0)) (neg.f32 (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (.f32 u0 -1/3))))))
(/.f32 (.f32 (.f32 u0 u0) (+.f32 1/8 (neg.f32 (.f32 (pow.f32 u0 3) -1/27)))) (+.f32 -1/4 (neg.f32 (.f32 (*.f32 u0 -1/3) (fma.f32 u0 -1/3 1/2)))))
(/.f32 (.f32 u0 u0) (.f32 1 (/.f32 (fma.f32 (*.f32 u0 -1/3) (fma.f32 u0 -1/3 1/2) 1/4) (fma.f32 (pow.f32 u0 3) -1/27 -1/8))))
(/.f32 (.f32 (.f32 u0 (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)))) u0) (-.f32 -1/2 (.f32 u0 -1/3)))
(.f32 (/.f32 (.f32 u0 u0) (-.f32 -1/2 (.f32 u0 -1/3))) (-.f32 1/4 (.f32 (*.f32 u0 u0) 1/9)))
(.f32 (+.f32 1/4 (.f32 (.f32 u0 u0) -1/9)) (/.f32 u0 (/.f32 (+.f32 -1/2 (.f32 u0 1/3)) u0)))
(/.f32 (.f32 (.f32 u0 (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3))) u0) (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (.f32 u0 -1/3)))))
(/.f32 (+.f32 -1/8 (.f32 (pow.f32 u0 3) -1/27)) (/.f32 (+.f32 1/4 (.f32 (.f32 u0 -1/3) (fma.f32 u0 -1/3 1/2))) (.f32 u0 u0)))
(.f32 (.f32 (fma.f32 (pow.f32 u0 3) -1/27 -1/8) (/.f32 u0 (fma.f32 (*.f32 u0 -1/3) (fma.f32 u0 -1/3 1/2) 1/4))) u0)
(/.f32 (.f32 (.f32 (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3))) u0) u0) (-.f32 -1/2 (.f32 u0 -1/3)))
(.f32 (/.f32 (.f32 u0 u0) (-.f32 -1/2 (.f32 u0 -1/3))) (-.f32 1/4 (.f32 (*.f32 u0 u0) 1/9)))
(.f32 (+.f32 1/4 (.f32 (.f32 u0 u0) -1/9)) (/.f32 u0 (/.f32 (+.f32 -1/2 (.f32 u0 1/3)) u0)))
(/.f32 (.f32 (.f32 (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3)) u0) u0) (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (.f32 u0 -1/3)))))
(/.f32 (+.f32 -1/8 (.f32 (pow.f32 u0 3) -1/27)) (/.f32 (+.f32 1/4 (.f32 (.f32 u0 -1/3) (fma.f32 u0 -1/3 1/2))) (.f32 u0 u0)))
(.f32 (.f32 (fma.f32 (pow.f32 u0 3) -1/27 -1/8) (/.f32 u0 (fma.f32 (*.f32 u0 -1/3) (fma.f32 u0 -1/3 1/2) 1/4))) u0)
(/.f32 (.f32 (-.f32 (.f32 (.f32 u0 -1/2) (.f32 u0 -1/2)) (.f32 (.f32 (.f32 u0 -1/3) u0) (.f32 (.f32 u0 -1/3) u0))) u0) (-.f32 (.f32 u0 -1/2) (.f32 (.f32 u0 -1/3) u0)))
(/.f32 u0 (/.f32 (fma.f32 u0 -1/2 (neg.f32 (.f32 u0 (.f32 u0 -1/3)))) (-.f32 (.f32 (.f32 u0 u0) 1/4) (.f32 (.f32 u0 -1/3) (*.f32 -1/3 (pow.f32 u0 3))))))
(.f32 (/.f32 (.f32 (.f32 u0 u0) (+.f32 1/4 (.f32 (.f32 u0 u0) -1/9))) (.f32 u0 (+.f32 -1/2 (*.f32 u0 1/3)))) u0)
(/.f32 (.f32 (+.f32 (pow.f32 (.f32 u0 -1/2) 3) (pow.f32 (.f32 (.f32 u0 -1/3) u0) 3)) u0) (+.f32 (.f32 (.f32 u0 -1/2) (.f32 u0 -1/2)) (-.f32 (.f32 (.f32 (.f32 u0 -1/3) u0) (.f32 (.f32 u0 -1/3) u0)) (.f32 (.f32 u0 -1/2) (.f32 (.f32 u0 -1/3) u0)))))
(/.f32 (+.f32 (.f32 (pow.f32 u0 3) -1/8) (pow.f32 (.f32 u0 (.f32 u0 -1/3)) 3)) (/.f32 (+.f32 (.f32 (.f32 u0 u0) 1/4) (.f32 (.f32 u0 (.f32 u0 -1/3)) (-.f32 (.f32 u0 (.f32 u0 -1/3)) (*.f32 u0 -1/2)))) u0))
(.f32 (/.f32 (fma.f32 (pow.f32 u0 3) -1/8 (pow.f32 (.f32 u0 (.f32 u0 -1/3)) 3)) (fma.f32 (.f32 u0 (.f32 u0 -1/3)) (.f32 u0 (fma.f32 u0 -1/3 1/2)) (.f32 u0 (.f32 u0 1/4)))) u0)
(/.f32 (.f32 (.f32 (.f32 u0 u0) (-.f32 1/4 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)))) 1) (-.f32 -1/2 (*.f32 u0 -1/3)))
(.f32 (/.f32 (.f32 u0 u0) (-.f32 -1/2 (.f32 u0 -1/3))) (-.f32 1/4 (.f32 (*.f32 u0 u0) 1/9)))
(.f32 (+.f32 1/4 (.f32 (.f32 u0 u0) -1/9)) (/.f32 u0 (/.f32 (+.f32 -1/2 (.f32 u0 1/3)) u0)))
(/.f32 (.f32 (.f32 (.f32 u0 u0) (+.f32 -1/8 (pow.f32 (.f32 u0 -1/3) 3))) 1) (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/3) (.f32 u0 -1/3)) (.f32 -1/2 (*.f32 u0 -1/3)))))
(/.f32 (+.f32 -1/8 (.f32 (pow.f32 u0 3) -1/27)) (/.f32 (+.f32 1/4 (.f32 (.f32 u0 -1/3) (fma.f32 u0 -1/3 1/2))) (.f32 u0 u0)))
(.f32 (.f32 (fma.f32 (pow.f32 u0 3) -1/27 -1/8) (/.f32 u0 (fma.f32 (*.f32 u0 -1/3) (fma.f32 u0 -1/3 1/2) 1/4))) u0)
(pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 1)
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2))
(pow.f32 (sqrt.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))) 2)
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2))
(pow.f32 (cbrt.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))) 3)
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2))
(pow.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 3) 1/3)
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2))
(sqrt.f32 (.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2))
(log.f32 (exp.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))))))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2))
(cbrt.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 3))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2))
(expm1.f32 (log1p.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2))
(exp.f32 (log.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2))
(exp.f32 (.f32 (log.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3)))) 1))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2))
(log1p.f32 (expm1.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))))
(.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)))
(.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2))

localize69.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f32 (.f32 alpha (*.f32 alpha alpha)) alpha)
✓	0.3b	(.f32 u0 (+.f32 -1/2 (.f32 -1/4 u0)))
✓	0.3b	(.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 u0 (+.f32 -1/2 (*.f32 -1/4 u0)))))
✓	0.4b	(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 u0 (+.f32 -1/2 (.f32 -1/4 u0))))) (.f32 alpha (neg.f32 alpha)))

Compiler

Compiled 91 to 45 computations (50.5% saved)

series7.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	0	(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 u0 (+.f32 -1/2 (.f32 -1/4 u0))))) (.f32 alpha (neg.f32 alpha)))
1.0ms	u0	@	0	(.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 u0 (+.f32 -1/2 (*.f32 -1/4 u0)))))
1.0ms	u0	@	0	(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 u0 (+.f32 -1/2 (.f32 -1/4 u0))))) (.f32 alpha (neg.f32 alpha)))
1.0ms	u0	@	inf	(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 u0 (+.f32 -1/2 (.f32 -1/4 u0))))) (.f32 alpha (neg.f32 alpha)))
1.0ms	alpha	@	inf	(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 u0 (+.f32 -1/2 (.f32 -1/4 u0))))) (.f32 alpha (neg.f32 alpha)))

rewrite95.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`associate-/r/`
602×	`associate-/l/`
416×	`add-sqr-sqrt`
398×	`pow1`
398×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	121
1	419	93
2	6203	87

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs

(/.f32 (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha) (*.f32 2 (*.f32 u0 (+.f32 -1/2 (*.f32 -1/4 u0))))) (*.f32 alpha (neg.f32 alpha)))

(*.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) alpha) (*.f32 2 (*.f32 u0 (+.f32 -1/2 (*.f32 -1/4 u0)))))

(*.f32 u0 (+.f32 -1/2 (*.f32 -1/4 u0)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (*.f32 alpha (pow.f32 alpha 3)) (/.f32 (neg.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 alpha 3) (/.f32 (*.f32 (*.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4))) (neg.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 alpha 3) (*.f32 (*.f32 alpha (*.f32 (*.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))) (/.f32 1 (neg.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 (*.f32 (*.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4))) (/.f32 1 (neg.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 alpha (pow.f32 alpha 3)) (*.f32 1 (/.f32 (*.f32 (*.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4))) (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4))) (*.f32 (*.f32 alpha (pow.f32 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-1/4)))))) (/.f32 1 (neg.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 (*.f32 alpha (pow.f32 alpha 3)) (/.f32 (neg.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))) (sqrt.f32 (/.f32 (*.f32 alpha (pow.f32 alpha 3)) (/.f32 (neg.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (*.f32 (pow.f32 alpha 3) (*.f32 alpha (*.f32 (*.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))) (cbrt.f32 (*.f32 (pow.f32 alpha 3) (*.f32 alpha (*.f32 (*.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4))))))) (*.f32 (cbrt.f32 (*.f32 (pow.f32 alpha 3) (*.f32 alpha (*.f32 (*.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))) (/.f32 1 (neg.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (*.f32 alpha (pow.f32 alpha 3)) (/.f32 (neg.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))) (*.f32 (cbrt.f32 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simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1560×	`associate-r`
1194×	`associate-l`
802×	`*-commutative`
792×	`associate-/l*`
776×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	385	8921
1	1340	6871

Stop Event

1×	node limit

Counts

205 → 210

Calls

Call 1

Inputs
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(*.f32 u0 (pow.f32 alpha 2))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 -1 (.f32 u0 (pow.f32 alpha 4)))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 4))) (.f32 -1 (.f32 u0 (pow.f32 alpha 4))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 4))) (.f32 -1 (.f32 u0 (pow.f32 alpha 4))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 4))) (.f32 -1 (.f32 u0 (pow.f32 alpha 4))))
(.f32 -1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 4)))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 4))) (.f32 -1 (.f32 u0 (pow.f32 alpha 4))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 4))) (.f32 -1 (.f32 u0 (pow.f32 alpha 4))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 4))) (.f32 -1 (.f32 u0 (pow.f32 alpha 4))))
(.f32 -1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 4)))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 4))) (.f32 -1 (.f32 u0 (pow.f32 alpha 4))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 4))) (.f32 -1 (.f32 u0 (pow.f32 alpha 4))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 4))) (.f32 -1 (.f32 u0 (pow.f32 alpha 4))))
(*.f32 -1/2 u0)
(+.f32 (.f32 -1/2 u0) (.f32 -1/4 (pow.f32 u0 2)))
(+.f32 (.f32 -1/2 u0) (.f32 -1/4 (pow.f32 u0 2)))
(+.f32 (.f32 -1/2 u0) (.f32 -1/4 (pow.f32 u0 2)))
(*.f32 -1/4 (pow.f32 u0 2))
(+.f32 (.f32 -1/2 u0) (.f32 -1/4 (pow.f32 u0 2)))
(+.f32 (.f32 -1/2 u0) (.f32 -1/4 (pow.f32 u0 2)))
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(exp.f32 (log.f32 (/.f32 (.f32 alpha (pow.f32 alpha 3)) (/.f32 (neg.f32 (.f32 alpha alpha)) (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 alpha (pow.f32 alpha 3)) (/.f32 (neg.f32 (.f32 alpha alpha)) (.f32 (.f32 2 u0) (+.f32 -1/2 (.f32 u0 -1/4)))))) 1))
(log1p.f32 (expm1.f32 (/.f32 (.f32 alpha (pow.f32 alpha 3)) (/.f32 (neg.f32 (.f32 alpha alpha)) (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))))
(+.f32 0 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4))))))
(+.f32 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) (.f32 -1/2 u0)) (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) (.f32 (*.f32 u0 -1/4) u0)))
(+.f32 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) (.f32 (.f32 u0 -1/4) u0)) (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) (*.f32 -1/2 u0)))
(+.f32 (.f32 (.f32 -1/2 u0) (.f32 (.f32 alpha (pow.f32 alpha 3)) 2)) (.f32 (.f32 (.f32 u0 -1/4) u0) (.f32 (*.f32 alpha (pow.f32 alpha 3)) 2)))
(+.f32 (.f32 (.f32 (.f32 u0 -1/4) u0) (.f32 (.f32 alpha (pow.f32 alpha 3)) 2)) (.f32 (.f32 -1/2 u0) (.f32 (*.f32 alpha (pow.f32 alpha 3)) 2)))
(+.f32 (-.f32 0 (exp.f32 (log1p.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))))) 1)
(-.f32 0 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4))))))) 1)
(-.f32 (-.f32 0 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) (.f32 -1/2 u0))) (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) 2) (.f32 (*.f32 u0 -1/4) u0)))
(-.f32 (-.f32 0 (.f32 (.f32 -1/2 u0) (.f32 (.f32 alpha (pow.f32 alpha 3)) 2))) (.f32 (.f32 (.f32 u0 -1/4) u0) (.f32 (*.f32 alpha (pow.f32 alpha 3)) 2)))
(pow.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4))))) 1)
(pow.f32 (sqrt.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))) 2)
(pow.f32 (cbrt.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))) 3)
(pow.f32 (.f32 (.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (.f32 u0 -1/4))))) (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (.f32 u0 -1/4)))))) (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))) 1/3)
(neg.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4))))))
(sqrt.f32 (.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (.f32 u0 -1/4))))) (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))))
(log.f32 (exp.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))))
(log.f32 (/.f32 1 (exp.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4))))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4))))))))
(cbrt.f32 (.f32 (.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (.f32 u0 -1/4))))) (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (.f32 u0 -1/4)))))) (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))))
(cbrt.f32 (.f32 (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) (.f32 alpha (pow.f32 alpha 3))) (.f32 alpha (pow.f32 alpha 3))) (.f32 (.f32 (.f32 (.f32 2 u0) (+.f32 -1/2 (.f32 u0 -1/4))) (.f32 (.f32 2 u0) (+.f32 -1/2 (.f32 u0 -1/4)))) (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4))))))
(cbrt.f32 (.f32 (.f32 (.f32 (.f32 (.f32 2 u0) (+.f32 -1/2 (.f32 u0 -1/4))) (.f32 (.f32 2 u0) (+.f32 -1/2 (.f32 u0 -1/4)))) (.f32 (.f32 2 u0) (+.f32 -1/2 (.f32 u0 -1/4)))) (.f32 (.f32 (.f32 alpha (pow.f32 alpha 3)) (.f32 alpha (pow.f32 alpha 3))) (*.f32 alpha (pow.f32 alpha 3)))))
(expm1.f32 (log1p.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))))
(exp.f32 (log.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (.f32 u0 -1/4)))))) 1))
(log1p.f32 (expm1.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))))
(+.f32 (.f32 -1/2 u0) (.f32 (*.f32 u0 -1/4) u0))
(+.f32 (.f32 (.f32 u0 -1/4) u0) (*.f32 -1/2 u0))
(+.f32 (.f32 (.f32 -1/2 u0) 1) (.f32 (.f32 (*.f32 u0 -1/4) u0) 1))
(+.f32 (.f32 (.f32 (.f32 u0 -1/4) u0) 1) (.f32 (*.f32 -1/2 u0) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4))))) 1)
(/.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4))) 1)
(/.f32 (.f32 u0 (-.f32 1/4 (.f32 (.f32 u0 -1/4) (.f32 u0 -1/4)))) (-.f32 -1/2 (*.f32 u0 -1/4)))
(/.f32 (.f32 u0 (+.f32 -1/8 (pow.f32 (.f32 u0 -1/4) 3))) (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/4) (.f32 u0 -1/4)) (.f32 -1/2 (*.f32 u0 -1/4)))))
(/.f32 (.f32 (-.f32 1/4 (.f32 (.f32 u0 -1/4) (.f32 u0 -1/4))) u0) (-.f32 -1/2 (*.f32 u0 -1/4)))
(/.f32 (.f32 (+.f32 -1/8 (pow.f32 (.f32 u0 -1/4) 3)) u0) (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/4) (.f32 u0 -1/4)) (.f32 -1/2 (*.f32 u0 -1/4)))))
(/.f32 (-.f32 (.f32 (.f32 -1/2 u0) (.f32 -1/2 u0)) (.f32 (.f32 (.f32 u0 -1/4) u0) (.f32 (.f32 u0 -1/4) u0))) (-.f32 (.f32 -1/2 u0) (.f32 (*.f32 u0 -1/4) u0)))
(/.f32 (-.f32 (.f32 (.f32 -1/2 u0) (.f32 -1/2 u0)) (.f32 (.f32 (.f32 u0 -1/4) u0) (.f32 (.f32 u0 -1/4) u0))) (.f32 1 (-.f32 (.f32 -1/2 u0) (.f32 (.f32 u0 -1/4) u0))))
(/.f32 (+.f32 (pow.f32 (.f32 -1/2 u0) 3) (pow.f32 (.f32 (.f32 u0 -1/4) u0) 3)) (+.f32 (.f32 (.f32 -1/2 u0) (.f32 -1/2 u0)) (-.f32 (.f32 (.f32 (.f32 u0 -1/4) u0) (.f32 (.f32 u0 -1/4) u0)) (.f32 (.f32 -1/2 u0) (.f32 (*.f32 u0 -1/4) u0)))))
(/.f32 (+.f32 (pow.f32 (.f32 -1/2 u0) 3) (pow.f32 (.f32 (.f32 u0 -1/4) u0) 3)) (.f32 1 (+.f32 (.f32 (.f32 -1/2 u0) (.f32 -1/2 u0)) (-.f32 (.f32 (.f32 (.f32 u0 -1/4) u0) (.f32 (.f32 u0 -1/4) u0)) (.f32 (.f32 -1/2 u0) (.f32 (.f32 u0 -1/4) u0))))))
(pow.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4))) 1)
(pow.f32 (sqrt.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))) 2)
(pow.f32 (cbrt.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))) 3)
(pow.f32 (.f32 (.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4))) (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))) (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))) 1/3)
(sqrt.f32 (.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4))) (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/4)))))
(log.f32 (exp.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4))))))
(cbrt.f32 (.f32 (.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4))) (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))) (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))))
(cbrt.f32 (.f32 (.f32 (.f32 u0 u0) u0) (.f32 (.f32 (+.f32 -1/2 (.f32 u0 -1/4)) (+.f32 -1/2 (.f32 u0 -1/4))) (+.f32 -1/2 (.f32 u0 -1/4)))))
(cbrt.f32 (.f32 (.f32 (.f32 (+.f32 -1/2 (.f32 u0 -1/4)) (+.f32 -1/2 (.f32 u0 -1/4))) (+.f32 -1/2 (.f32 u0 -1/4))) (.f32 (.f32 u0 u0) u0)))
(expm1.f32 (log1p.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))))
(exp.f32 (log.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))))
(exp.f32 (.f32 (log.f32 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/4)))) 1))
(log1p.f32 (expm1.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))))
(fma.f32 u0 -1/2 (.f32 (.f32 u0 -1/4) u0))
(fma.f32 -1/2 u0 (.f32 (.f32 u0 -1/4) u0))

Outputs
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 alpha alpha)))
(.f32 -2 (.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 -1/4 -1/2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 alpha alpha)))
(.f32 -2 (.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 -1/4 -1/2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 alpha alpha)))
(.f32 -2 (.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 -1/4 -1/2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 alpha alpha)))
(.f32 -2 (.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 -1/4 -1/2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 alpha alpha)))
(.f32 -2 (.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 -1/4 -1/2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 alpha alpha)))
(.f32 -2 (.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 -1/4 -1/2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 alpha alpha)))
(.f32 -2 (.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 -1/4 -1/2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 alpha alpha)))
(.f32 -2 (.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 -1/4 -1/2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 alpha alpha)))
(.f32 -2 (.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 -1/4 -1/2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 alpha alpha)))
(.f32 -2 (.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 -1/4 -1/2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 alpha alpha)))
(.f32 -2 (.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 -1/4 -1/2))))
(.f32 -2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 2))))
(.f32 -2 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 alpha alpha)))
(.f32 -2 (.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 -1/4 -1/2))))
(*.f32 u0 (pow.f32 alpha 2))
(.f32 u0 (.f32 alpha alpha))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
(.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))
(.f32 1/2 (.f32 (.f32 u0 u0) (.f32 alpha alpha)))
(.f32 1/2 (.f32 u0 (.f32 u0 (.f32 alpha alpha))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
(.f32 1/2 (.f32 (pow.f32 u0 2) (pow.f32 alpha 2)))
(.f32 1/2 (.f32 (.f32 u0 u0) (.f32 alpha alpha)))
(.f32 1/2 (.f32 u0 (.f32 u0 (.f32 alpha alpha))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
(+.f32 (.f32 u0 (pow.f32 alpha 2)) (.f32 1/2 (*.f32 (pow.f32 u0 2) (pow.f32 alpha 2))))
(fma.f32 u0 (.f32 alpha alpha) (.f32 1/2 (.f32 (.f32 u0 u0) (*.f32 alpha alpha))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 1/2 (.f32 u0 u0))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
(.f32 u0 (.f32 2 (*.f32 (pow.f32 alpha 4) (fma.f32 u0 -1/4 -1/2))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
(.f32 u0 (.f32 2 (*.f32 (pow.f32 alpha 4) (fma.f32 u0 -1/4 -1/2))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
(.f32 u0 (.f32 2 (*.f32 (pow.f32 alpha 4) (fma.f32 u0 -1/4 -1/2))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
(.f32 u0 (.f32 2 (*.f32 (pow.f32 alpha 4) (fma.f32 u0 -1/4 -1/2))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
(.f32 u0 (.f32 2 (*.f32 (pow.f32 alpha 4) (fma.f32 u0 -1/4 -1/2))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
(.f32 u0 (.f32 2 (*.f32 (pow.f32 alpha 4) (fma.f32 u0 -1/4 -1/2))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
(.f32 u0 (.f32 2 (*.f32 (pow.f32 alpha 4) (fma.f32 u0 -1/4 -1/2))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
(.f32 u0 (.f32 2 (*.f32 (pow.f32 alpha 4) (fma.f32 u0 -1/4 -1/2))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
(.f32 u0 (.f32 2 (*.f32 (pow.f32 alpha 4) (fma.f32 u0 -1/4 -1/2))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
(.f32 u0 (.f32 2 (*.f32 (pow.f32 alpha 4) (fma.f32 u0 -1/4 -1/2))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
(.f32 u0 (.f32 2 (*.f32 (pow.f32 alpha 4) (fma.f32 u0 -1/4 -1/2))))
(.f32 2 (.f32 u0 (.f32 (-.f32 (.f32 -1/4 u0) 1/2) (pow.f32 alpha 4))))
(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
(.f32 u0 (.f32 2 (*.f32 (pow.f32 alpha 4) (fma.f32 u0 -1/4 -1/2))))
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(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
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(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
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(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
(.f32 u0 (.f32 2 (*.f32 (pow.f32 alpha 4) (fma.f32 u0 -1/4 -1/2))))
(log1p.f32 (expm1.f32 (.f32 (pow.f32 alpha 3) (.f32 alpha (.f32 (.f32 2 u0) (+.f32 -1/2 (*.f32 u0 -1/4)))))))
(.f32 (.f32 u0 2) (*.f32 (pow.f32 alpha 4) (fma.f32 -1/4 u0 -1/2)))
(.f32 u0 (.f32 2 (*.f32 (pow.f32 alpha 4) (fma.f32 u0 -1/4 -1/2))))
(+.f32 (.f32 -1/2 u0) (.f32 (*.f32 u0 -1/4) u0))
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(+.f32 (.f32 (.f32 u0 -1/4) u0) (*.f32 -1/2 u0))
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(+.f32 (.f32 (.f32 -1/2 u0) 1) (.f32 (.f32 (*.f32 u0 -1/4) u0) 1))
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(+.f32 (.f32 (.f32 (.f32 u0 -1/4) u0) 1) (.f32 (*.f32 -1/2 u0) 1))
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(-.f32 (exp.f32 (log1p.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4))))) 1)
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(/.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4))) 1)
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(/.f32 (.f32 u0 (-.f32 1/4 (.f32 (.f32 u0 -1/4) (.f32 u0 -1/4)))) (-.f32 -1/2 (*.f32 u0 -1/4)))
(/.f32 u0 (/.f32 (-.f32 -1/2 (.f32 u0 -1/4)) (-.f32 1/4 (.f32 (*.f32 u0 u0) 1/16))))
(.f32 (/.f32 u0 (+.f32 -1/2 (.f32 u0 1/4))) (+.f32 1/4 (.f32 (.f32 u0 u0) -1/16)))
(/.f32 (.f32 u0 (+.f32 -1/8 (pow.f32 (.f32 u0 -1/4) 3))) (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/4) (.f32 u0 -1/4)) (.f32 -1/2 (*.f32 u0 -1/4)))))
(/.f32 u0 (/.f32 (+.f32 1/4 (.f32 (.f32 u0 -1/4) (-.f32 (.f32 u0 -1/4) -1/2))) (+.f32 -1/8 (.f32 (pow.f32 u0 3) -1/64))))
(.f32 (/.f32 u0 (fma.f32 (.f32 u0 -1/4) (fma.f32 u0 -1/4 1/2) 1/4)) (fma.f32 (pow.f32 u0 3) -1/64 -1/8))
(/.f32 (.f32 (-.f32 1/4 (.f32 (.f32 u0 -1/4) (.f32 u0 -1/4))) u0) (-.f32 -1/2 (*.f32 u0 -1/4)))
(/.f32 u0 (/.f32 (-.f32 -1/2 (.f32 u0 -1/4)) (-.f32 1/4 (.f32 (*.f32 u0 u0) 1/16))))
(.f32 (/.f32 u0 (+.f32 -1/2 (.f32 u0 1/4))) (+.f32 1/4 (.f32 (.f32 u0 u0) -1/16)))
(/.f32 (.f32 (+.f32 -1/8 (pow.f32 (.f32 u0 -1/4) 3)) u0) (+.f32 1/4 (-.f32 (.f32 (.f32 u0 -1/4) (.f32 u0 -1/4)) (.f32 -1/2 (*.f32 u0 -1/4)))))
(/.f32 u0 (/.f32 (+.f32 1/4 (.f32 (.f32 u0 -1/4) (-.f32 (.f32 u0 -1/4) -1/2))) (+.f32 -1/8 (.f32 (pow.f32 u0 3) -1/64))))
(.f32 (/.f32 u0 (fma.f32 (.f32 u0 -1/4) (fma.f32 u0 -1/4 1/2) 1/4)) (fma.f32 (pow.f32 u0 3) -1/64 -1/8))
(/.f32 (-.f32 (.f32 (.f32 -1/2 u0) (.f32 -1/2 u0)) (.f32 (.f32 (.f32 u0 -1/4) u0) (.f32 (.f32 u0 -1/4) u0))) (-.f32 (.f32 -1/2 u0) (.f32 (*.f32 u0 -1/4) u0)))
(/.f32 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 u0 (-.f32 -1/2 (.f32 u0 -1/4)))) (.f32 u0 (-.f32 -1/2 (.f32 u0 -1/4))))
(/.f32 (.f32 (.f32 u0 u0) (+.f32 1/4 (.f32 (.f32 u0 u0) -1/16))) (.f32 u0 (+.f32 -1/2 (.f32 u0 1/4))))
(/.f32 (-.f32 (.f32 (.f32 -1/2 u0) (.f32 -1/2 u0)) (.f32 (.f32 (.f32 u0 -1/4) u0) (.f32 (.f32 u0 -1/4) u0))) (.f32 1 (-.f32 (.f32 -1/2 u0) (.f32 (.f32 u0 -1/4) u0))))
(/.f32 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 u0 (-.f32 -1/2 (.f32 u0 -1/4)))) (.f32 u0 (-.f32 -1/2 (.f32 u0 -1/4))))
(/.f32 (.f32 (.f32 u0 u0) (+.f32 1/4 (.f32 (.f32 u0 u0) -1/16))) (.f32 u0 (+.f32 -1/2 (.f32 u0 1/4))))
(/.f32 (+.f32 (pow.f32 (.f32 -1/2 u0) 3) (pow.f32 (.f32 (.f32 u0 -1/4) u0) 3)) (+.f32 (.f32 (.f32 -1/2 u0) (.f32 -1/2 u0)) (-.f32 (.f32 (.f32 (.f32 u0 -1/4) u0) (.f32 (.f32 u0 -1/4) u0)) (.f32 (.f32 -1/2 u0) (.f32 (*.f32 u0 -1/4) u0)))))
(/.f32 (+.f32 (pow.f32 (.f32 u0 -1/2) 3) (pow.f32 (.f32 u0 (.f32 u0 -1/4)) 3)) (+.f32 (.f32 1/4 (.f32 u0 u0)) (.f32 (.f32 u0 (.f32 u0 -1/4)) (-.f32 (.f32 u0 (.f32 u0 -1/4)) (*.f32 u0 -1/2)))))
(/.f32 (.f32 (pow.f32 u0 3) (fma.f32 (pow.f32 u0 3) -1/64 -1/8)) (fma.f32 (.f32 u0 (.f32 u0 -1/4)) (.f32 u0 (fma.f32 u0 -1/4 1/2)) (.f32 u0 (.f32 u0 1/4))))
(/.f32 (+.f32 (pow.f32 (.f32 -1/2 u0) 3) (pow.f32 (.f32 (.f32 u0 -1/4) u0) 3)) (.f32 1 (+.f32 (.f32 (.f32 -1/2 u0) (.f32 -1/2 u0)) (-.f32 (.f32 (.f32 (.f32 u0 -1/4) u0) (.f32 (.f32 u0 -1/4) u0)) (.f32 (.f32 -1/2 u0) (.f32 (.f32 u0 -1/4) u0))))))
(/.f32 (+.f32 (pow.f32 (.f32 u0 -1/2) 3) (pow.f32 (.f32 u0 (.f32 u0 -1/4)) 3)) (+.f32 (.f32 1/4 (.f32 u0 u0)) (.f32 (.f32 u0 (.f32 u0 -1/4)) (-.f32 (.f32 u0 (.f32 u0 -1/4)) (*.f32 u0 -1/2)))))
(/.f32 (.f32 (pow.f32 u0 3) (fma.f32 (pow.f32 u0 3) -1/64 -1/8)) (fma.f32 (.f32 u0 (.f32 u0 -1/4)) (.f32 u0 (fma.f32 u0 -1/4 1/2)) (.f32 u0 (.f32 u0 1/4))))
(pow.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4))) 1)
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(pow.f32 (sqrt.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))) 2)
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(pow.f32 (cbrt.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))) 3)
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(pow.f32 (.f32 (.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4))) (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))) (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))) 1/3)
(cbrt.f32 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 u0 (.f32 (fma.f32 -1/4 u0 -1/2) (*.f32 u0 (fma.f32 -1/4 u0 -1/2))))))
(cbrt.f32 (pow.f32 (*.f32 u0 (fma.f32 u0 -1/4 -1/2)) 3))
(sqrt.f32 (.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4))) (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/4)))))
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(log.f32 (exp.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))))
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(log.f32 (+.f32 1 (expm1.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4))))))
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(cbrt.f32 (.f32 (.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4))) (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))) (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))))
(cbrt.f32 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 u0 (.f32 (fma.f32 -1/4 u0 -1/2) (*.f32 u0 (fma.f32 -1/4 u0 -1/2))))))
(cbrt.f32 (pow.f32 (*.f32 u0 (fma.f32 u0 -1/4 -1/2)) 3))
(cbrt.f32 (.f32 (.f32 (.f32 u0 u0) u0) (.f32 (.f32 (+.f32 -1/2 (.f32 u0 -1/4)) (+.f32 -1/2 (.f32 u0 -1/4))) (+.f32 -1/2 (.f32 u0 -1/4)))))
(cbrt.f32 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 u0 (.f32 (fma.f32 -1/4 u0 -1/2) (*.f32 u0 (fma.f32 -1/4 u0 -1/2))))))
(cbrt.f32 (pow.f32 (*.f32 u0 (fma.f32 u0 -1/4 -1/2)) 3))
(cbrt.f32 (.f32 (.f32 (.f32 (+.f32 -1/2 (.f32 u0 -1/4)) (+.f32 -1/2 (.f32 u0 -1/4))) (+.f32 -1/2 (.f32 u0 -1/4))) (.f32 (.f32 u0 u0) u0)))
(cbrt.f32 (.f32 (.f32 u0 (fma.f32 -1/4 u0 -1/2)) (.f32 u0 (.f32 (fma.f32 -1/4 u0 -1/2) (*.f32 u0 (fma.f32 -1/4 u0 -1/2))))))
(cbrt.f32 (pow.f32 (*.f32 u0 (fma.f32 u0 -1/4 -1/2)) 3))
(expm1.f32 (log1p.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))))
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(exp.f32 (log.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))))
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(exp.f32 (.f32 (log.f32 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/4)))) 1))
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(log1p.f32 (expm1.f32 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/4)))))
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(fma.f32 u0 -1/2 (.f32 (.f32 u0 -1/4) u0))
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))
(fma.f32 -1/2 u0 (.f32 (.f32 u0 -1/4) u0))
(fma.f32 -1/2 u0 (.f32 -1/4 (.f32 u0 u0)))
(*.f32 u0 (fma.f32 u0 -1/4 -1/2))

localize120.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))
✓	0.3b	(/.f32 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)) alpha) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))
	0.3b	(*.f32 u0 -1/3)
✓	0.5b	(.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))))

Compiler

Compiled 190 to 119 computations (37.4% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(/.f32 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)) alpha) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))
1.0ms	alpha	@	-inf	(/.f32 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)) alpha) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))
1.0ms	alpha	@	inf	(/.f32 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)) alpha) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))
0.0ms	u0	@	-inf	(/.f32 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)) alpha) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))
0.0ms	u0	@	inf	(/.f32 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)) alpha) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))

rewrite103.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`associate-/r/`
486×	`associate-+l+`
392×	`add-sqr-sqrt`
380×	`pow1`
380×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	112
1	378	60
2	5645	60

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

Inputs

(*.f32 (*.f32 u0 (*.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) (*.f32 u0 (*.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))))

(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 u0 (*.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) (*.f32 u0 (*.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))))) (*.f32 u0 u0)) alpha) (+.f32 (*.f32 u0 (*.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0) (*.f32 -1/2 u0)) (*.f32 (*.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0) (*.f32 u0 (*.f32 u0 -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0) (*.f32 u0 (*.f32 u0 -1/3))) (*.f32 (*.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0) (*.f32 -1/2 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 -1/2 u0) (*.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)) (*.f32 (*.f32 u0 (*.f32 u0 -1/3)) (*.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u0 (*.f32 u0 -1/3)) (*.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)) (*.f32 (*.f32 -1/2 u0) (*.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (cbrt.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))) (cbrt.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (pow.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 2) (pow.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (pow.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (*.f32 (*.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) 2)))))))

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simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

686×	`associate-+r+`
684×	`+-commutative`
650×	`associate-r`
636×	`associate-l`
612×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	11532
1	1221	9964
2	5612	8690

Stop Event

1×	node limit

Counts

146 → 189

Calls

Call 1

Inputs
(*.f32 1/4 (pow.f32 u0 4))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (.f32 1/4 (pow.f32 u0 4)))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (+.f32 (.f32 1/9 (pow.f32 u0 6)) (*.f32 1/4 (pow.f32 u0 4))))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (+.f32 (.f32 1/9 (pow.f32 u0 6)) (*.f32 1/4 (pow.f32 u0 4))))
(*.f32 1/9 (pow.f32 u0 6))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (.f32 1/9 (pow.f32 u0 6)))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (+.f32 (.f32 1/9 (pow.f32 u0 6)) (*.f32 1/4 (pow.f32 u0 4))))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (+.f32 (.f32 1/9 (pow.f32 u0 6)) (*.f32 1/4 (pow.f32 u0 4))))
(*.f32 1/9 (pow.f32 u0 6))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (.f32 1/9 (pow.f32 u0 6)))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (+.f32 (.f32 1/9 (pow.f32 u0 6)) (*.f32 1/4 (pow.f32 u0 4))))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (+.f32 (.f32 1/9 (pow.f32 u0 6)) (*.f32 1/4 (pow.f32 u0 4))))
(.f32 -1 (.f32 u0 alpha))
(+.f32 (.f32 -1 (.f32 u0 alpha)) (.f32 -1/2 (.f32 (pow.f32 u0 2) alpha)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (+.f32 (.f32 -1 (.f32 u0 alpha)) (.f32 -1/2 (.f32 (pow.f32 u0 2) alpha))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (+.f32 (.f32 -1 (.f32 u0 alpha)) (.f32 -1/2 (.f32 (pow.f32 u0 2) alpha))))
(.f32 -1/3 (.f32 (pow.f32 u0 3) alpha))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1 alpha) (*.f32 -1/2 alpha))))
(+.f32 (.f32 (-.f32 (.f32 -3/4 alpha) (+.f32 alpha (.f32 3/2 (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha))))) u0) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha)))))
(+.f32 (.f32 (-.f32 (.f32 -3/4 alpha) (+.f32 alpha (.f32 3/2 (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha))))) u0) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (+.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha))) (.f32 -1 (+.f32 (.f32 3/2 (-.f32 (.f32 -3/4 alpha) (+.f32 alpha (.f32 3/2 (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha)))))) (.f32 -3 (-.f32 (.f32 -1 alpha) (*.f32 -1/2 alpha))))))))
(.f32 -1/3 (.f32 (pow.f32 u0 3) alpha))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1 alpha) (*.f32 -1/2 alpha))))
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(.f32 (/.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (sqrt.f32 (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0))) (sqrt.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)))) (sqrt.f32 (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))
(.f32 (/.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (sqrt.f32 (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0))) (sqrt.f32 (+.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 3) (pow.f32 u0 3)))) (sqrt.f32 (+.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (-.f32 (.f32 u0 u0) (.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))))
(.f32 (/.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (.f32 (cbrt.f32 (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0)) (cbrt.f32 (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0)))) (cbrt.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)))) (cbrt.f32 (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) u0)))
(.f32 (/.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (.f32 (cbrt.f32 (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0)) (cbrt.f32 (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0)))) (cbrt.f32 (+.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 3) (pow.f32 u0 3)))) (cbrt.f32 (+.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (-.f32 (.f32 u0 u0) (.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) u0)))))
(pow.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0)) 1)
(pow.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))) 2)
(pow.f32 (cbrt.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))) 3)
(pow.f32 (.f32 (.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0)) (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0))) (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))) 1/3)
(pow.f32 (/.f32 (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0) (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (*.f32 u0 u0)) alpha)) -1)
(neg.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (neg.f32 (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(sqrt.f32 (.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0)) (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(log.f32 (exp.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))))
(cbrt.f32 (.f32 (.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0)) (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0))) (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(cbrt.f32 (/.f32 (.f32 (.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha)) (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha)) (.f32 (.f32 (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0)) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(expm1.f32 (log1p.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(exp.f32 (log.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0))) 1))
(log1p.f32 (expm1.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))

Outputs
(*.f32 1/4 (pow.f32 u0 4))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (.f32 1/4 (pow.f32 u0 4)))
(fma.f32 1/3 (pow.f32 u0 5) (*.f32 1/4 (pow.f32 u0 4)))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (+.f32 (.f32 1/9 (pow.f32 u0 6)) (*.f32 1/4 (pow.f32 u0 4))))
(fma.f32 1/3 (pow.f32 u0 5) (fma.f32 1/9 (pow.f32 u0 6) (*.f32 1/4 (pow.f32 u0 4))))
(fma.f32 1/3 (pow.f32 u0 5) (fma.f32 1/4 (pow.f32 u0 4) (*.f32 1/9 (pow.f32 u0 6))))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (+.f32 (.f32 1/9 (pow.f32 u0 6)) (*.f32 1/4 (pow.f32 u0 4))))
(fma.f32 1/3 (pow.f32 u0 5) (fma.f32 1/9 (pow.f32 u0 6) (*.f32 1/4 (pow.f32 u0 4))))
(fma.f32 1/3 (pow.f32 u0 5) (fma.f32 1/4 (pow.f32 u0 4) (*.f32 1/9 (pow.f32 u0 6))))
(*.f32 1/9 (pow.f32 u0 6))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (.f32 1/9 (pow.f32 u0 6)))
(fma.f32 1/3 (pow.f32 u0 5) (*.f32 1/9 (pow.f32 u0 6)))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (+.f32 (.f32 1/9 (pow.f32 u0 6)) (*.f32 1/4 (pow.f32 u0 4))))
(fma.f32 1/3 (pow.f32 u0 5) (fma.f32 1/9 (pow.f32 u0 6) (*.f32 1/4 (pow.f32 u0 4))))
(fma.f32 1/3 (pow.f32 u0 5) (fma.f32 1/4 (pow.f32 u0 4) (*.f32 1/9 (pow.f32 u0 6))))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (+.f32 (.f32 1/9 (pow.f32 u0 6)) (*.f32 1/4 (pow.f32 u0 4))))
(fma.f32 1/3 (pow.f32 u0 5) (fma.f32 1/9 (pow.f32 u0 6) (*.f32 1/4 (pow.f32 u0 4))))
(fma.f32 1/3 (pow.f32 u0 5) (fma.f32 1/4 (pow.f32 u0 4) (*.f32 1/9 (pow.f32 u0 6))))
(*.f32 1/9 (pow.f32 u0 6))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (.f32 1/9 (pow.f32 u0 6)))
(fma.f32 1/3 (pow.f32 u0 5) (*.f32 1/9 (pow.f32 u0 6)))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (+.f32 (.f32 1/9 (pow.f32 u0 6)) (*.f32 1/4 (pow.f32 u0 4))))
(fma.f32 1/3 (pow.f32 u0 5) (fma.f32 1/9 (pow.f32 u0 6) (*.f32 1/4 (pow.f32 u0 4))))
(fma.f32 1/3 (pow.f32 u0 5) (fma.f32 1/4 (pow.f32 u0 4) (*.f32 1/9 (pow.f32 u0 6))))
(+.f32 (.f32 1/3 (pow.f32 u0 5)) (+.f32 (.f32 1/9 (pow.f32 u0 6)) (*.f32 1/4 (pow.f32 u0 4))))
(fma.f32 1/3 (pow.f32 u0 5) (fma.f32 1/9 (pow.f32 u0 6) (*.f32 1/4 (pow.f32 u0 4))))
(fma.f32 1/3 (pow.f32 u0 5) (fma.f32 1/4 (pow.f32 u0 4) (*.f32 1/9 (pow.f32 u0 6))))
(.f32 -1 (.f32 u0 alpha))
(neg.f32 (*.f32 u0 alpha))
(*.f32 u0 (neg.f32 alpha))
(+.f32 (.f32 -1 (.f32 u0 alpha)) (.f32 -1/2 (.f32 (pow.f32 u0 2) alpha)))
(fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (.f32 u0 u0)) alpha))
(.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (*.f32 u0 -1/2))))
(.f32 alpha (.f32 u0 (+.f32 (*.f32 u0 -1/2) -1)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (+.f32 (.f32 -1 (.f32 u0 alpha)) (.f32 -1/2 (.f32 (pow.f32 u0 2) alpha))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (*.f32 u0 u0)) alpha)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (+.f32 (.f32 -1 (.f32 u0 alpha)) (.f32 -1/2 (.f32 (pow.f32 u0 2) alpha))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (*.f32 u0 u0)) alpha)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0)))
(.f32 -1/3 (.f32 (pow.f32 u0 3) alpha))
(.f32 -1/3 (.f32 alpha (pow.f32 u0 3)))
(.f32 alpha (.f32 -1/3 (pow.f32 u0 3)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1 alpha) (*.f32 -1/2 alpha))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 (.f32 alpha -1/2) (.f32 u0 u0)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (.f32 u0 (.f32 u0 -1/2))))
(.f32 alpha (.f32 (*.f32 u0 u0) (fma.f32 u0 -1/3 -1/2)))
(+.f32 (.f32 (-.f32 (.f32 -3/4 alpha) (+.f32 alpha (.f32 3/2 (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha))))) u0) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha)))))
(fma.f32 (-.f32 (-.f32 (.f32 alpha -3/4) alpha) (.f32 (.f32 alpha -1/2) 3/2)) u0 (fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 (.f32 alpha -1/2) (*.f32 u0 u0))))
(fma.f32 u0 (-.f32 (-.f32 (.f32 alpha -3/4) (.f32 alpha -3/4)) alpha) (fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (.f32 u0 (.f32 u0 -1/2)))))
(fma.f32 u0 (+.f32 (.f32 alpha -3/4) (.f32 alpha -1/4)) (.f32 alpha (.f32 (*.f32 u0 u0) (fma.f32 u0 -1/3 -1/2))))
(+.f32 (.f32 (-.f32 (.f32 -3/4 alpha) (+.f32 alpha (.f32 3/2 (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha))))) u0) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (+.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha))) (.f32 -1 (+.f32 (.f32 3/2 (-.f32 (.f32 -3/4 alpha) (+.f32 alpha (.f32 3/2 (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha)))))) (.f32 -3 (-.f32 (.f32 -1 alpha) (*.f32 -1/2 alpha))))))))
(fma.f32 (-.f32 (-.f32 (.f32 alpha -3/4) alpha) (.f32 (.f32 alpha -1/2) 3/2)) u0 (fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 (.f32 u0 u0) (.f32 alpha -1/2) (neg.f32 (fma.f32 3/2 (-.f32 (-.f32 (.f32 alpha -3/4) alpha) (.f32 (.f32 alpha -1/2) 3/2)) (.f32 (*.f32 alpha -1/2) -3))))))
(fma.f32 u0 (-.f32 (-.f32 (.f32 alpha -3/4) (.f32 alpha -3/4)) alpha) (-.f32 (fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (.f32 u0 (.f32 u0 -1/2)))) (fma.f32 3/2 (-.f32 (-.f32 (.f32 alpha -3/4) (.f32 alpha -3/4)) alpha) (*.f32 alpha 3/2))))
(-.f32 (fma.f32 u0 (+.f32 (.f32 alpha -3/4) (.f32 alpha -1/4)) (.f32 alpha (.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2)))) (.f32 3/2 (+.f32 (+.f32 (.f32 alpha -3/4) (.f32 alpha -1/4)) alpha)))
(.f32 -1/3 (.f32 (pow.f32 u0 3) alpha))
(.f32 -1/3 (.f32 alpha (pow.f32 u0 3)))
(.f32 alpha (.f32 -1/3 (pow.f32 u0 3)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1 alpha) (*.f32 -1/2 alpha))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 (.f32 alpha -1/2) (.f32 u0 u0)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (.f32 u0 (.f32 u0 -1/2))))
(.f32 alpha (.f32 (*.f32 u0 u0) (fma.f32 u0 -1/3 -1/2)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (+.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha))) (.f32 -1 (.f32 u0 (-.f32 (.f32 3/4 alpha) (+.f32 (.f32 -3/2 (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha))) (.f32 -1 alpha)))))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 (.f32 u0 u0) (.f32 alpha -1/2) (neg.f32 (.f32 u0 (-.f32 (.f32 alpha 3/4) (fma.f32 -3/2 (.f32 alpha -1/2) (neg.f32 alpha)))))))
(-.f32 (fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (.f32 u0 (.f32 u0 -1/2)))) (.f32 u0 (+.f32 (+.f32 (.f32 alpha 3/4) (*.f32 alpha -3/4)) alpha)))
(-.f32 (.f32 alpha (.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2))) (.f32 u0 (+.f32 alpha (*.f32 alpha 0))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u0 3) alpha)) (+.f32 (.f32 (pow.f32 u0 2) (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha))) (+.f32 (.f32 -1 (.f32 u0 (-.f32 (.f32 3/4 alpha) (+.f32 (.f32 -3/2 (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha))) (.f32 -1 alpha))))) (.f32 -1 (+.f32 (.f32 -3/2 (-.f32 (.f32 3/4 alpha) (+.f32 (.f32 -3/2 (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha))) (.f32 -1 alpha)))) (.f32 -3 (-.f32 (.f32 -1 alpha) (.f32 -1/2 alpha))))))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 (.f32 u0 u0) (.f32 alpha -1/2) (.f32 -1 (+.f32 (.f32 u0 (-.f32 (.f32 alpha 3/4) (fma.f32 -3/2 (.f32 alpha -1/2) (neg.f32 alpha)))) (fma.f32 -3/2 (-.f32 (.f32 alpha 3/4) (fma.f32 -3/2 (.f32 alpha -1/2) (neg.f32 alpha))) (.f32 (*.f32 alpha -1/2) -3))))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 (.f32 alpha -1/2) (.f32 u0 u0) (neg.f32 (fma.f32 u0 (+.f32 (+.f32 (.f32 alpha 3/4) (.f32 alpha -3/4)) alpha) (fma.f32 -3/2 (+.f32 (+.f32 (.f32 alpha 3/4) (.f32 alpha -3/4)) alpha) (.f32 alpha 3/2))))))
(+.f32 (.f32 alpha (.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2))) (neg.f32 (+.f32 (.f32 alpha 3/2) (.f32 (+.f32 alpha (.f32 alpha 0)) (+.f32 u0 -3/2)))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (-.f32 (.f32 -1/3 u0) 1/2) 2) (pow.f32 u0 4)) (pow.f32 u0 2)) alpha) (+.f32 u0 (.f32 (-.f32 (*.f32 -1/3 u0) 1/2) (pow.f32 u0 2))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (*.f32 u0 u0)) alpha)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0)))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (-.f32 (.f32 -1/3 u0) 1/2) 2) (pow.f32 u0 4)) (pow.f32 u0 2)) alpha) (+.f32 u0 (.f32 (-.f32 (*.f32 -1/3 u0) 1/2) (pow.f32 u0 2))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (*.f32 u0 u0)) alpha)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
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(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0)))
(pow.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))) 2)
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (*.f32 u0 u0)) alpha)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0)))
(pow.f32 (cbrt.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))) 3)
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (*.f32 u0 u0)) alpha)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0)))
(pow.f32 (.f32 (.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0)) (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0))) (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))) 1/3)
(cbrt.f32 (.f32 (.f32 alpha (/.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2))) 2) (.f32 u0 u0)) (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) u0))) (.f32 (.f32 alpha (/.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2))) 2) (.f32 u0 u0)) (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) u0))) (.f32 alpha (/.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2))) 2) (.f32 u0 u0)) (fma.f32 u0 (*.f32 u0 (fma.f32 -1/3 u0 -1/2)) u0))))))
(cbrt.f32 (pow.f32 (.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0))) 3))
(pow.f32 (/.f32 (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0) (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (*.f32 u0 u0)) alpha)) -1)
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (*.f32 u0 u0)) alpha)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0)))
(neg.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (neg.f32 (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (*.f32 u0 u0)) alpha)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0)))
(sqrt.f32 (.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0)) (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (*.f32 u0 u0)) alpha)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0)))
(log.f32 (exp.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (*.f32 u0 u0)) alpha)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (*.f32 u0 u0)) alpha)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0)))
(cbrt.f32 (.f32 (.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0)) (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0))) (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(cbrt.f32 (.f32 (.f32 alpha (/.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2))) 2) (.f32 u0 u0)) (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) u0))) (.f32 (.f32 alpha (/.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2))) 2) (.f32 u0 u0)) (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) u0))) (.f32 alpha (/.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2))) 2) (.f32 u0 u0)) (fma.f32 u0 (*.f32 u0 (fma.f32 -1/3 u0 -1/2)) u0))))))
(cbrt.f32 (pow.f32 (.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0))) 3))
(cbrt.f32 (/.f32 (.f32 (.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha)) (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha)) (.f32 (.f32 (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0)) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(cbrt.f32 (.f32 (.f32 alpha (/.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2))) 2) (.f32 u0 u0)) (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) u0))) (.f32 (.f32 alpha (/.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2))) 2) (.f32 u0 u0)) (fma.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2)) u0))) (.f32 alpha (/.f32 (-.f32 (pow.f32 (.f32 u0 (.f32 u0 (fma.f32 -1/3 u0 -1/2))) 2) (.f32 u0 u0)) (fma.f32 u0 (*.f32 u0 (fma.f32 -1/3 u0 -1/2)) u0))))))
(cbrt.f32 (pow.f32 (.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0))) 3))
(expm1.f32 (log1p.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (*.f32 u0 u0)) alpha)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0)))
(exp.f32 (log.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (*.f32 u0 u0)) alpha)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0)))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))) u0))) 1))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (*.f32 u0 u0)) alpha)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0)))
(log1p.f32 (expm1.f32 (/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (.f32 u0 -1/3))) 2) (.f32 u0 u0)) alpha) (fma.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3))) u0))))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (fma.f32 -1 (.f32 u0 alpha) (.f32 (.f32 -1/2 (*.f32 u0 u0)) alpha)))
(fma.f32 -1/3 (.f32 alpha (pow.f32 u0 3)) (.f32 alpha (+.f32 (neg.f32 u0) (.f32 u0 (.f32 u0 -1/2)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) (fma.f32 u0 -1/3 -1/2) (neg.f32 u0)))

eval754.0ms (7.6%)

Compiler: Compiled 62090 to 31867 computations (48.7% saved)

prune490.0ms (5%)

Pruning

30 alts after pruning (18 fresh and 12 done)

	Pruned	Kept	Total
New	1575	9	1584
Fresh	9	9	18
Picked	1	0	1
Done	3	12	15
Total	1588	30	1618

Error

Counts

1618 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	9.1b	(/.f32 (.f32 (pow.f32 alpha 4) (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
	2.9b	(/.f32 (.f32 (-.f32 0 (.f32 alpha alpha)) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) alpha)
	9.1b	(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 u0 -1/2))) (*.f32 alpha (neg.f32 alpha)))
✓	13.8b	(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 alpha (neg.f32 alpha)))
✓	0.4b	(/.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 1 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
	9.1b	(/.f32 (*.f32 alpha (neg.f32 alpha)) (/.f32 -1 u0))
	2.4b	(/.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (+.f32 1/2 (.f32 1/12 u0)) (/.f32 1 u0)))
	3.7b	(/.f32 (*.f32 alpha (neg.f32 alpha)) (-.f32 1/2 (/.f32 1 u0)))
	1.8b	(/.f32 (.f32 alpha (neg.f32 alpha)) (+.f32 1/2 (-.f32 (fma.f32 1/12 u0 (.f32 (*.f32 u0 u0) 1/24)) (/.f32 1 u0))))
	2.4b	(/.f32 (.f32 alpha (neg.f32 alpha)) (+.f32 1/2 (-.f32 (.f32 u0 1/12) (/.f32 1 u0))))
	2.8b	(-.f32 (-.f32 0 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 alpha alpha))) (.f32 (neg.f32 u0) (*.f32 alpha alpha)))
✓	25.7b	(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)
	25.4b	(+.f32 (-.f32 (.f32 (.f32 alpha alpha) u0) 1) 1)
	2.8b	(+.f32 (.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) (.f32 alpha alpha)) (+.f32 (.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 alpha alpha)) (.f32 (*.f32 alpha alpha) u0)))
	0.4b	(.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)) (/.f32 (neg.f32 alpha) (/.f32 1 alpha)))
✓	0.3b	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
	0.4b	(.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 u0) (log1p.f32 (*.f32 u0 (neg.f32 u0)))))
✓	2.2b	(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 (.f32 u0 1/3) 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))
	4.4b	(.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) u0))
✓	2.8b	(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))))
✓	9.1b	(.f32 (.f32 alpha alpha) u0)
	2.5b	(.f32 (neg.f32 alpha) (/.f32 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 -1/2))) (.f32 u0 u0)) alpha) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))
	2.9b	(.f32 (neg.f32 alpha) (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) alpha) (.f32 (neg.f32 u0) alpha)))
✓	2.8b	(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))
✓	0.3b	(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
✓	13.1b	(.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))
	13.8b	(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
	4.4b	(.f32 alpha (.f32 alpha (+.f32 u0 (.f32 1/2 (.f32 u0 u0)))))
✓	9.1b	(.f32 alpha (.f32 alpha u0))
✓	2.3b	(exp.f32 (log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))

Compiler

Compiled 489 to 328 computations (32.9% saved)

regimes227.0ms (2.3%)

Counts

66 → 1

Calls

Call 1

Inputs
(.f32 alpha (.f32 alpha u0))
(.f32 (.f32 alpha alpha) u0)
(/.f32 (*.f32 alpha (neg.f32 alpha)) (/.f32 -1 u0))
(+.f32 (-.f32 (.f32 (.f32 alpha alpha) u0) 1) 1)
(-.f32 (+.f32 1 (.f32 alpha (.f32 alpha u0))) 1)
(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)
(/.f32 (*.f32 alpha (neg.f32 alpha)) (-.f32 1/2 (/.f32 1 u0)))
(.f32 alpha (.f32 alpha (+.f32 u0 (.f32 1/2 (.f32 u0 u0)))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) 1/2)))
(.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) u0))
(.f32 (neg.f32 alpha) (.f32 alpha (.f32 u0 (+.f32 -1 (.f32 u0 -1/2)))))
(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) -1/2) u0)))
(.f32 (.f32 (neg.f32 alpha) alpha) (.f32 u0 (+.f32 -1 (.f32 u0 -1/2))))
(/.f32 (.f32 alpha (neg.f32 alpha)) (+.f32 1/2 (-.f32 (.f32 u0 1/12) (/.f32 1 u0))))
(/.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (+.f32 1/2 (.f32 1/12 u0)) (/.f32 1 u0)))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))))
(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))
(+.f32 0 (.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0)))
(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 -1/2 u0))) (*.f32 alpha (neg.f32 alpha)))
(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 u0 -1/2))) (*.f32 alpha (neg.f32 alpha)))
(.f32 (neg.f32 alpha) (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) alpha) (.f32 (neg.f32 u0) alpha)))
(.f32 (.f32 alpha alpha) (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) (.f32 1/2 (*.f32 u0 u0)))))
(/.f32 (.f32 (-.f32 0 (.f32 alpha alpha)) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) alpha)
(-.f32 (-.f32 0 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 alpha alpha))) (.f32 (neg.f32 u0) (*.f32 alpha alpha)))
(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 u0 (+.f32 -1/2 (.f32 -1/4 u0))))) (.f32 alpha (neg.f32 alpha)))
(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (/.f32 u0 (+.f32 -1/2 (.f32 u0 1/3))) (.f32 u0 (-.f32 1/4 (.f32 u0 (*.f32 u0 1/9))))) u0)))
(.f32 (.f32 alpha alpha) (+.f32 u0 (/.f32 (.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4) (.f32 u0 u0)) (-.f32 (.f32 u0 1/3) 1/2))))
(+.f32 (.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) (.f32 alpha alpha)) (+.f32 (.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 alpha alpha)) (.f32 (*.f32 alpha alpha) u0)))
(/.f32 (.f32 (-.f32 0 (.f32 (.f32 alpha alpha) alpha)) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) (+.f32 0 (+.f32 (.f32 alpha alpha) (*.f32 0 alpha))))
(.f32 (neg.f32 alpha) (/.f32 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 -1/2))) (.f32 u0 u0)) alpha) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))
(.f32 (neg.f32 alpha) (/.f32 alpha (/.f32 (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0) (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)))))
(.f32 (neg.f32 alpha) (/.f32 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)) alpha) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0)))
(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
(.f32 (neg.f32 alpha) (.f32 alpha (log.f32 (-.f32 1 u0))))
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))
(/.f32 (.f32 (pow.f32 alpha 4) (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(fma.f32 u0 (.f32 alpha alpha) (.f32 (.f32 1/2 (.f32 u0 u0)) (*.f32 alpha alpha)))
(.f32 (neg.f32 alpha) (fma.f32 -1 (.f32 u0 alpha) (.f32 -1/2 (.f32 (*.f32 u0 u0) alpha))))
(/.f32 (.f32 alpha (neg.f32 alpha)) (+.f32 1/2 (-.f32 (fma.f32 1/12 u0 (.f32 (*.f32 u0 u0) 1/24)) (/.f32 1 u0))))
(.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) (+.f32 (.f32 u0 1/3) 1/2)) (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4))))
(+.f32 (+.f32 (.f32 (+.f32 u0 (.f32 (pow.f32 u0 4) 1/4)) (.f32 alpha alpha)) (.f32 (.f32 (.f32 u0 1/3) (.f32 u0 u0)) (.f32 alpha alpha))) (.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 alpha alpha)))
(pow.f32 (cbrt.f32 (.f32 alpha (.f32 alpha u0))) 3)
(pow.f32 (sqrt.f32 (.f32 alpha (.f32 alpha u0))) 2)
(.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) (.f32 (*.f32 alpha alpha) -2))
(.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 u0) (log1p.f32 (*.f32 u0 (neg.f32 u0)))))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0)))))
(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0)) (/.f32 (neg.f32 alpha) (/.f32 1 alpha)))
(/.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 1 (-.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 u0))))
(/.f32 (.f32 (.f32 alpha (.f32 (log.f32 (sqrt.f32 (-.f32 1 u0))) 2)) (.f32 alpha (neg.f32 alpha))) alpha)
(/.f32 (.f32 alpha (-.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 u0))) (/.f32 alpha (*.f32 alpha (neg.f32 alpha))))
(fma.f32 (.f32 alpha alpha) u0 (.f32 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2))) (*.f32 alpha alpha)))
(.f32 (neg.f32 alpha) (fma.f32 -1/3 (.f32 (pow.f32 u0 3) alpha) (.f32 alpha (-.f32 (.f32 u0 (*.f32 u0 -1/2)) u0))))
(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u0))))) (.f32 alpha (neg.f32 alpha)))
(fma.f32 (.f32 alpha alpha) u0 (.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 1/3 (pow.f32 u0 3)))))
(+.f32 (.f32 (.f32 alpha alpha) (+.f32 (.f32 (.f32 u0 u0) 1/2) (.f32 (pow.f32 u0 3) 1/3))) (.f32 (.f32 alpha alpha) (+.f32 (.f32 (pow.f32 u0 4) 1/4) u0)))
(exp.f32 (log.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))))
(.f32 (neg.f32 alpha) (.f32 alpha (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) 3)))
(.f32 (neg.f32 alpha) (pow.f32 (cbrt.f32 (.f32 alpha (log1p.f32 (neg.f32 u0)))) 3))
(.f32 (.f32 (neg.f32 alpha) alpha) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) 3))
(pow.f32 (cbrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 3)
(pow.f32 (sqrt.f32 (.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))) 2)
(/.f32 (.f32 (.f32 alpha (-.f32 (.f32 u0 u0) (.f32 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2))) (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))) alpha) (-.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2)))))
(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log1p.f32 (fma.f32 u0 u0 u0))))
(/.f32 (-.f32 (.f32 u0 (.f32 u0 (pow.f32 alpha 4))) (.f32 (.f32 (pow.f32 (fma.f32 u0 1/3 1/2) 2) (pow.f32 u0 4)) (pow.f32 alpha 4))) (.f32 (.f32 alpha alpha) (-.f32 u0 (.f32 u0 (.f32 u0 (fma.f32 u0 1/3 1/2))))))

Outputs
(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))

Calls

6 calls:

63.0ms	(log.f32 (-.f32 1 u0))
47.0ms	alpha
29.0ms	(*.f32 (neg.f32 alpha) alpha)
25.0ms	(-.f32 1 u0)
25.0ms	u0

Results

Error	Segments	Branch
0.3b	1	`alpha`
0.3b	1	`u0`
0.3b	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 1 u0)))`
0.3b	1	`(*.f32 (neg.f32 alpha) alpha)`
0.3b	1	`(log.f32 (-.f32 1 u0))`
0.3b	1	`(-.f32 1 u0)`

Compiler

Compiled 1131 to 556 computations (50.8% saved)

regimes49.0ms (0.5%)

Counts

32 → 1

Calls

Call 1

Inputs
(.f32 alpha (.f32 alpha u0))
(.f32 (.f32 alpha alpha) u0)
(/.f32 (*.f32 alpha (neg.f32 alpha)) (/.f32 -1 u0))
(+.f32 (-.f32 (.f32 (.f32 alpha alpha) u0) 1) 1)
(-.f32 (+.f32 1 (.f32 alpha (.f32 alpha u0))) 1)
(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)
(/.f32 (*.f32 alpha (neg.f32 alpha)) (-.f32 1/2 (/.f32 1 u0)))
(.f32 alpha (.f32 alpha (+.f32 u0 (.f32 1/2 (.f32 u0 u0)))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) 1/2)))
(.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) u0))
(.f32 (neg.f32 alpha) (.f32 alpha (.f32 u0 (+.f32 -1 (.f32 u0 -1/2)))))
(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) -1/2) u0)))
(.f32 (.f32 (neg.f32 alpha) alpha) (.f32 u0 (+.f32 -1 (.f32 u0 -1/2))))
(/.f32 (.f32 alpha (neg.f32 alpha)) (+.f32 1/2 (-.f32 (.f32 u0 1/12) (/.f32 1 u0))))
(/.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (+.f32 1/2 (.f32 1/12 u0)) (/.f32 1 u0)))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) (+.f32 (*.f32 u0 1/3) 1/2))))
(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) (+.f32 -1/2 (*.f32 u0 -1/3))) u0)))
(+.f32 0 (.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0)))
(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 -1/2 u0))) (*.f32 alpha (neg.f32 alpha)))
(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 u0 -1/2))) (*.f32 alpha (neg.f32 alpha)))
(.f32 (neg.f32 alpha) (+.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) alpha) (.f32 (neg.f32 u0) alpha)))
(.f32 (.f32 alpha alpha) (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) (.f32 1/2 (*.f32 u0 u0)))))
(/.f32 (.f32 (-.f32 0 (.f32 alpha alpha)) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) alpha)
(-.f32 (-.f32 0 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 alpha alpha))) (.f32 (neg.f32 u0) (*.f32 alpha alpha)))
(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) alpha) (.f32 2 (.f32 u0 (+.f32 -1/2 (.f32 -1/4 u0))))) (.f32 alpha (neg.f32 alpha)))
(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (/.f32 u0 (+.f32 -1/2 (.f32 u0 1/3))) (.f32 u0 (-.f32 1/4 (.f32 u0 (*.f32 u0 1/9))))) u0)))
(.f32 (.f32 alpha alpha) (+.f32 u0 (/.f32 (.f32 (-.f32 (.f32 (.f32 u0 1/3) (.f32 u0 1/3)) 1/4) (.f32 u0 u0)) (-.f32 (.f32 u0 1/3) 1/2))))
(+.f32 (.f32 (.f32 (.f32 u0 u0) (.f32 u0 1/3)) (.f32 alpha alpha)) (+.f32 (.f32 (.f32 1/2 (.f32 u0 u0)) (.f32 alpha alpha)) (.f32 (*.f32 alpha alpha) u0)))
(/.f32 (.f32 (-.f32 0 (.f32 (.f32 alpha alpha) alpha)) (.f32 alpha (-.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0))) (+.f32 0 (+.f32 (.f32 alpha alpha) (*.f32 0 alpha))))
(.f32 (neg.f32 alpha) (/.f32 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 -1/2))) (.f32 u0 u0)) alpha) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0)))
(.f32 (neg.f32 alpha) (/.f32 alpha (/.f32 (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) u0) (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)))))
(.f32 (neg.f32 alpha) (/.f32 (.f32 (-.f32 (.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3)))) (.f32 u0 (.f32 u0 (+.f32 -1/2 (.f32 u0 -1/3))))) (.f32 u0 u0)) alpha) (+.f32 (.f32 u0 (.f32 u0 (+.f32 -1/2 (*.f32 u0 -1/3)))) u0)))

Outputs
(/.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (+.f32 1/2 (.f32 1/12 u0)) (/.f32 1 u0)))

Calls

3 calls:

13.0ms	(*.f32 (neg.f32 alpha) alpha)
13.0ms	alpha
13.0ms	u0

Results

Error	Segments	Branch
2.4b	1	`alpha`
2.4b	1	`u0`
2.4b	1	`(*.f32 (neg.f32 alpha) alpha)`

Compiler

Compiled 577 to 301 computations (47.8% saved)

regimes23.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

Inputs
(.f32 alpha (.f32 alpha u0))
(.f32 (.f32 alpha alpha) u0)
(/.f32 (*.f32 alpha (neg.f32 alpha)) (/.f32 -1 u0))
(+.f32 (-.f32 (.f32 (.f32 alpha alpha) u0) 1) 1)
(-.f32 (+.f32 1 (.f32 alpha (.f32 alpha u0))) 1)
(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)
(/.f32 (*.f32 alpha (neg.f32 alpha)) (-.f32 1/2 (/.f32 1 u0)))
(.f32 alpha (.f32 alpha (+.f32 u0 (.f32 1/2 (.f32 u0 u0)))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) 1/2)))
(.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) u0))
(.f32 (neg.f32 alpha) (.f32 alpha (.f32 u0 (+.f32 -1 (.f32 u0 -1/2)))))
(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) -1/2) u0)))
(.f32 (.f32 (neg.f32 alpha) alpha) (.f32 u0 (+.f32 -1 (.f32 u0 -1/2))))
(/.f32 (.f32 alpha (neg.f32 alpha)) (+.f32 1/2 (-.f32 (.f32 u0 1/12) (/.f32 1 u0))))

Outputs
(/.f32 (.f32 alpha (neg.f32 alpha)) (+.f32 1/2 (-.f32 (.f32 u0 1/12) (/.f32 1 u0))))

Calls

3 calls:

8.0ms	(*.f32 (neg.f32 alpha) alpha)
7.0ms	u0
6.0ms	alpha

Results

Error	Segments	Branch
2.4b	1	`alpha`
2.4b	1	`u0`
2.4b	1	`(*.f32 (neg.f32 alpha) alpha)`

Compiler

Compiled 152 to 77 computations (49.3% saved)

regimes22.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

Inputs
(.f32 alpha (.f32 alpha u0))
(.f32 (.f32 alpha alpha) u0)
(/.f32 (*.f32 alpha (neg.f32 alpha)) (/.f32 -1 u0))
(+.f32 (-.f32 (.f32 (.f32 alpha alpha) u0) 1) 1)
(-.f32 (+.f32 1 (.f32 alpha (.f32 alpha u0))) 1)
(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)
(/.f32 (*.f32 alpha (neg.f32 alpha)) (-.f32 1/2 (/.f32 1 u0)))
(.f32 alpha (.f32 alpha (+.f32 u0 (.f32 1/2 (.f32 u0 u0)))))
(.f32 (.f32 alpha alpha) (+.f32 u0 (.f32 (.f32 u0 u0) 1/2)))
(.f32 (.f32 alpha alpha) (+.f32 (.f32 1/2 (.f32 u0 u0)) u0))
(.f32 (neg.f32 alpha) (.f32 alpha (.f32 u0 (+.f32 -1 (.f32 u0 -1/2)))))
(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (.f32 (.f32 u0 u0) -1/2) u0)))
(.f32 (.f32 (neg.f32 alpha) alpha) (.f32 u0 (+.f32 -1 (.f32 u0 -1/2))))

Outputs
(/.f32 (*.f32 alpha (neg.f32 alpha)) (-.f32 1/2 (/.f32 1 u0)))

Calls

3 calls:

7.0ms	(*.f32 (neg.f32 alpha) alpha)
6.0ms	u0
6.0ms	alpha

Results

Error	Segments	Branch
3.7b	1	`alpha`
3.7b	1	`u0`
3.7b	1	`(*.f32 (neg.f32 alpha) alpha)`

Compiler

Compiled 138 to 69 computations (50% saved)

regimes10.0ms (0.1%)

Accuracy

Total -16.7b remaining (-184.3%)

Threshold costs -16.7b (-184.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f32 alpha (.f32 alpha u0))
(.f32 (.f32 alpha alpha) u0)
(/.f32 (*.f32 alpha (neg.f32 alpha)) (/.f32 -1 u0))
(+.f32 (-.f32 (.f32 (.f32 alpha alpha) u0) 1) 1)
(-.f32 (+.f32 1 (.f32 alpha (.f32 alpha u0))) 1)
(-.f32 (+.f32 1 (.f32 (.f32 alpha alpha) u0)) 1)

Outputs
(.f32 alpha (.f32 alpha u0))

Calls

2 calls:

4.0ms	u0
4.0ms	alpha

Results

Error	Segments	Branch
9.1b	1	`alpha`
9.1b	1	`u0`

Compiler

Compiled 53 to 27 computations (49.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative`
30×	`+-commutative`
20×	`sub-neg`
20×	`neg-mul-1`
20×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	149
1	50	149
2	74	149
3	96	149
4	109	149
5	115	149
6	116	149

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
(/.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (+.f32 1/2 (.f32 1/12 u0)) (/.f32 1 u0)))
(/.f32 (.f32 alpha (neg.f32 alpha)) (+.f32 1/2 (-.f32 (.f32 u0 1/12) (/.f32 1 u0))))
(/.f32 (*.f32 alpha (neg.f32 alpha)) (-.f32 1/2 (/.f32 1 u0)))
(.f32 alpha (.f32 alpha u0))

Outputs
(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(/.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (+.f32 1/2 (.f32 1/12 u0)) (/.f32 1 u0)))
(/.f32 (.f32 alpha (neg.f32 alpha)) (-.f32 (+.f32 1/2 (.f32 u0 1/12)) (/.f32 1 u0)))
(/.f32 (.f32 alpha (neg.f32 alpha)) (+.f32 (+.f32 1/2 (.f32 u0 1/12)) (/.f32 -1 u0)))
(/.f32 (.f32 alpha (neg.f32 alpha)) (+.f32 1/2 (-.f32 (.f32 u0 1/12) (/.f32 1 u0))))
(/.f32 (.f32 alpha (neg.f32 alpha)) (+.f32 1/2 (+.f32 (.f32 u0 1/12) (/.f32 -1 u0))))
(/.f32 (*.f32 alpha (neg.f32 alpha)) (-.f32 1/2 (/.f32 1 u0)))
(/.f32 (*.f32 alpha (neg.f32 alpha)) (+.f32 1/2 (/.f32 -1 u0)))
(.f32 alpha (.f32 alpha u0))

Compiler

Compiled 61 to 44 computations (27.9% saved)

soundness118.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

606×	`fma-def`
522×	`associate-+l+`
348×	`distribute-lft-in`
300×	`associate-r`
298×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	24	25
2	45	25
3	85	25
4	139	25
5	180	25
6	236	25
7	331	25
8	504	25
9	1101	25
10	1460	25
11	1758	25
12	2477	25
13	2636	25
14	2663	25
15	2664	25

Stop Event

1×

saturated

Compiler

Compiled 38 to 22 computations (42.1% saved)

end44.0ms (0.4%)

Compiler: Compiled 53 to 31 computations (41.5% saved)