Details

analyze62.0ms (0.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	1.5%	98.5%	0
0%	1.5%	98.5%	1
0%	1.5%	98.5%	2
0.8%	0.8%	98.5%	3
0.8%	0.8%	98.5%	4
1.2%	0.4%	98.5%	5
1.2%	0.4%	98.5%	6
1.4%	0.2%	98.5%	7
1.4%	0.2%	98.5%	8
1.4%	0.1%	98.5%	9
1.4%	0.1%	98.5%	10
1.5%	0%	98.5%	11
1.5%	0%	98.5%	12

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample1.9s (19.4%)

Results

1.9s

8256×

body

256

valid

preprocess240.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

880×	`associate--l-_binary32`
870×	`fma-neg_binary32`
712×	`associate--l+_binary32`
687×	`associate-+l-_binary32`
600×	`associate-+l+_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	38	22
2	71	22
3	124	22
4	168	22
5	229	22
6	300	22
7	411	22
8	686	22
9	962	22
10	1099	22
11	1298	22
12	1511	22
13	1761	22
14	1828	22
15	1859	22
16	1938	22
17	2359	22
18	3697	22
19	3972	22
20	4124	22
21	4154	22
22	4174	22
23	4174	22
24	4583	22
25	4809	22
26	4849	22
27	4873	22
28	4889	22
29	4889	22
30	5145	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
(.f32 u (log.f32 (/.f32 1 (-.f32 1 (.f32 4 s)))))

Outputs
(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
(.f32 s (neg.f32 (log.f32 (+.f32 1 (.f32 -4 u)))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 u (log.f32 (/.f32 1 (-.f32 1 (.f32 4 s)))))
(.f32 u (neg.f32 (log.f32 (+.f32 1 (.f32 -4 s)))))
(.f32 u (neg.f32 (log1p.f32 (.f32 s -4))))
(.f32 (log1p.f32 (.f32 s -4)) (neg.f32 u))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

175×	`fma-neg_binary32`
148×	`fma-def_binary32`
47×	`cancel-sign-sub-inv_binary32`
46×	`sub-neg_binary32`
29×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	24	11
2	41	11
3	70	11
4	96	11
5	126	11
6	166	11
7	240	11
8	363	11
9	433	11
10	510	11
11	604	11
12	743	11
13	855	11
14	868	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))

Outputs
(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
(.f32 s (neg.f32 (log.f32 (+.f32 1 (.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))

eval1.0ms (0%)

Compiler: Compiled 19 to 15 computations (21.1% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
▶	11.6b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))

Compiler

Compiled 21 to 17 computations (19% saved)

localize44.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f32 1 (-.f32 1 (*.f32 4 u)))
✓	0.2b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
✓	13.5b	(log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u))))

Compiler

Compiled 39 to 31 computations (20.5% saved)

series57.0ms (0.6%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
49.0ms	s	@	0	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
1.0ms	u	@	0	(log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u))))
1.0ms	u	@	inf	(log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u))))
1.0ms	u	@	-inf	(log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u))))
1.0ms	s	@	inf	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

461×	`log-prod_binary32`
370×	`prod-diff_binary32`
354×	`exp-prod_binary32`
290×	`prod-exp_binary32`
256×	`pow-prod-down_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	213	29
2	2551	27

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

Inputs
(log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u))))
(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
(/.f32 1 (-.f32 1 (*.f32 4 u)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (neg.f32 (log1p.f32 (.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 -1) (log.f32 (/.f32 1 (neg.f32 (fma.f32 u -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/2 (log1p.f32 (.f32 u -4))) (.f32 -1/2 (log1p.f32 (.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4)))) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -2))) (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) -2)) (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 64 (pow.f32 u 3))))) (log1p.f32 (.f32 (.f32 4 u) (fma.f32 4 u 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u))))) (log1p.f32 (.f32 4 u)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 (.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (neg.f32 (neg.f32 (fma.f32 u -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (neg.f32 (log1p.f32 (.f32 u -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 -1) (log.f32 (neg.f32 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 -1/2 (log1p.f32 (.f32 u -4))) (.f32 1/2 (log1p.f32 (.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) -2)) (.f32 1/3 (log1p.f32 (.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (neg.f32 (log1p.f32 (.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (log1p.f32 (.f32 u -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 2)) (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) (sqrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 -1/2 (log1p.f32 (.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (log1p.f32 (.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/3 (log.f32 (pow.f32 (fma.f32 u -4 1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 u -4)) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 2) (.f32 0 (log1p.f32 (.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 u -4)) 2)) (log1p.f32 (.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (neg.f32 (log1p.f32 (.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))) 2)) (cbrt.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4)))))) (sqrt.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log1p.f32 (.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (neg.f32 (neg.f32 (fma.f32 u -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (neg.f32 (log1p.f32 (.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (neg.f32 (log1p.f32 (.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 u -4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) (.f32 -1 s))) 2)) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) (.f32 -1 s)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (fma.f32 u -4 1) (.f32 -1 s)))) (log.f32 (sqrt.f32 (pow.f32 (fma.f32 u -4 1) (.f32 -1 s)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))) 2)) (cbrt.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))) (sqrt.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (.f32 (log1p.f32 (.f32 u -4)) s))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (fma.f32 u -4 1) (.f32 -1 s)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 1) (log.f32 s)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) (.f32 (log.f32 s) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 1) (.f32 (log.f32 s) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 s) 1) (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 s) (.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 s) 1) (.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1 (fma.f32 u -4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 (fma.f32 u -4 1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 1 (fma.f32 u -4 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (fma.f32 u -4 1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (fma.f32 u -4 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 1 (fma.f32 u -4 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 1 (fma.f32 u -4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (fma.f32 u -4 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 1 (fma.f32 u -4 1))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -2)) (cbrt.f32 (/.f32 1 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (fma.f32 u -4 1) -1/2) (pow.f32 (fma.f32 u -4 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 1 (neg.f32 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) -2) (cbrt.f32 (/.f32 1 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (-.f32 1 (.f32 64 (pow.f32 u 3)))) (fma.f32 (.f32 4 u) (fma.f32 4 u 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u)))) (fma.f32 4 u 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (E.f32) (.f32 -1/2 (log1p.f32 (.f32 u -4)))) (pow.f32 (E.f32) (.f32 -1/2 (log1p.f32 (.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (E.f32) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -2)))) (pow.f32 (E.f32) (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 u -4 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (fma.f32 u -4 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (neg.f32 (log1p.f32 (.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u -4 1) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u -4 1) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u -4 1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u -4 1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 u -4 1)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 1 (fma.f32 u -4 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 u -4 1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u -4 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 -1) (log1p.f32 (.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4))))) (cbrt.f32 (pow.f32 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(#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 1 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (fma.f32 u -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 u -4 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 1 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 1 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log1p.f32 (.f32 u -4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (fma.f32 u -4 1) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 -1/2 (log1p.f32 (.f32 u -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log1p.f32 (.f32 u -4)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log1p.f32 (.f32 u -4)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (neg.f32 (.f32 (log1p.f32 (.f32 u -4)) 1)))))))

Outputs

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1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (*.f32 u u))))) (log1p.f32 (*.f32 4 u)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 (*.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (neg.f32 (neg.f32 (fma.f32 u -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 -1) (log.f32 (neg.f32 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 -1/2 (log1p.f32 (*.f32 u -4))) (*.f32 1/2 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) -2)) (*.f32 1/3 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (neg.f32 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (log1p.f32 (*.f32 u -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log1p.f32 (*.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (neg.f32 (neg.f32 (fma.f32 u -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 u -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) 1) 1))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1 (fma.f32 u -4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 (fma.f32 u -4 1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 1 (fma.f32 u -4 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (fma.f32 u -4 1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (fma.f32 u -4 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 1 (fma.f32 u -4 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 1 (fma.f32 u -4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (fma.f32 u -4 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 1 (fma.f32 u -4 1))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -2)) (cbrt.f32 (/.f32 1 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (fma.f32 u -4 1) -1/2) (pow.f32 (fma.f32 u -4 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 1 (neg.f32 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) -2) (cbrt.f32 (/.f32 1 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1 (*.f32 64 (pow.f32 u 3)))) (fma.f32 (*.f32 4 u) (fma.f32 4 u 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1 (*.f32 16 (*.f32 u u)))) (fma.f32 4 u 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (E.f32) (*.f32 -1/2 (log1p.f32 (*.f32 u -4)))) (pow.f32 (E.f32) (*.f32 -1/2 (log1p.f32 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (E.f32) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -2)))) (pow.f32 (E.f32) (*.f32 1/3 (neg.f32 (log1p.f32 (*.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 u -4 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (fma.f32 u -4 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (neg.f32 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u -4 1) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u -4 1) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u -4 1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u -4 1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 u -4 1)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 1 (fma.f32 u -4 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 u -4 1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u -4 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 -1) (log1p.f32 (*.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2))) (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2))) (*.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 1 (expm1.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (neg.f32 (neg.f32 (fma.f32 u -4 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (E.f32) -1) (log1p.f32 (*.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2))) 1) (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2))) (pow.f32 (cbrt.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) 2)) (cbrt.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2))) (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2)))) (cbrt.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2))) (sqrt.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))) (sqrt.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) 1) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2)))) (sqrt.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))) (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 u -4 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 1 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (fma.f32 u -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 u -4 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 1 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 1 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log1p.f32 (*.f32 u -4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 u -4 1) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/3 (neg.f32 (log1p.f32 (*.f32 u -4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 -1/2 (log1p.f32 (*.f32 u -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 u -4)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 u -4)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (neg.f32 (*.f32 (log1p.f32 (*.f32 u -4)) 1)))))))

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

588×	`fma-def_binary32`
538×	`associate-l_binary32`
390×	`+-commutative_binary32`
351×	`associate-+l+_binary32`
313×	`associate-r_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	725
1	329	691
2	987	661
3	3113	644
4	7821	644

Stop Event

1×	node limit

Counts

172 → 196

Calls

Call 1

Inputs
(*.f32 4 u)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(+.f32 (log.f32 (/.f32 1 u)) (log.f32 -1/4))
(+.f32 (log.f32 -1/4) (+.f32 (log.f32 (/.f32 1 u)) (*.f32 1/4 (/.f32 1 u))))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (log.f32 -1/4) (+.f32 (log.f32 (/.f32 1 u)) (.f32 1/4 (/.f32 1 u)))))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (log.f32 -1/4) (+.f32 (log.f32 (/.f32 1 u)) (+.f32 (.f32 1/4 (/.f32 1 u)) (*.f32 1/192 (/.f32 1 (pow.f32 u 3)))))))
(+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4))
(+.f32 (*.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4))))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 (/.f32 -1 u)) (+.f32 (log.f32 1/4) (*.f32 1/192 (/.f32 1 (pow.f32 u 3)))))))
(.f32 4 (.f32 s u))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(*.f32 s (+.f32 (log.f32 (/.f32 1 u)) (log.f32 -1/4)))
(+.f32 (.f32 s (+.f32 (log.f32 (/.f32 1 u)) (log.f32 -1/4))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 s (+.f32 (log.f32 (/.f32 1 u)) (log.f32 -1/4))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 s (+.f32 (log.f32 (/.f32 1 u)) (log.f32 -1/4))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
(*.f32 s (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)))
(+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (*.f32 s (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4))))))
1
(+.f32 1 (*.f32 4 u))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 1 (.f32 4 u)))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 3)) (+.f32 1 (*.f32 4 u))))
(/.f32 -1/4 u)
(neg.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (.f32 1/4 (/.f32 1 u))))
(neg.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 3))) (*.f32 1/4 (/.f32 1 u)))))
(neg.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (.f32 1/4 (/.f32 1 u))))))
(/.f32 -1/4 u)
(neg.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (.f32 1/4 (/.f32 1 u))))
(neg.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 3))) (*.f32 1/4 (/.f32 1 u)))))
(neg.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (.f32 1/4 (/.f32 1 u))))))

Outputs
(*.f32 4 u)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 4 u))
(fma.f32 4 u (.f32 8 (.f32 u u)))
(.f32 u (+.f32 4 (.f32 u 8)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(fma.f32 8 (.f32 u u) (fma.f32 64/3 (pow.f32 u 3) (.f32 4 u)))
(fma.f32 8 (.f32 u u) (fma.f32 4 u (.f32 64/3 (pow.f32 u 3))))
(fma.f32 4 u (.f32 (.f32 u u) (+.f32 8 (*.f32 u 64/3))))
(.f32 u (+.f32 4 (.f32 u (+.f32 8 (*.f32 u 64/3)))))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(fma.f32 8 (.f32 u u) (fma.f32 64 (pow.f32 u 4) (fma.f32 64/3 (pow.f32 u 3) (.f32 4 u))))
(fma.f32 8 (.f32 u u) (fma.f32 64 (pow.f32 u 4) (fma.f32 4 u (.f32 64/3 (pow.f32 u 3)))))
(fma.f32 64 (pow.f32 u 4) (fma.f32 4 u (.f32 (.f32 u u) (+.f32 8 (*.f32 u 64/3)))))
(fma.f32 64 (pow.f32 u 4) (.f32 u (+.f32 4 (.f32 u (+.f32 8 (*.f32 u 64/3))))))
(+.f32 (log.f32 (/.f32 1 u)) (log.f32 -1/4))
(+.f32 (neg.f32 (log.f32 u)) (log.f32 -1/4))
(-.f32 (log.f32 -1/4) (log.f32 u))
(+.f32 (log.f32 -1/4) (+.f32 (log.f32 (/.f32 1 u)) (*.f32 1/4 (/.f32 1 u))))
(+.f32 (log.f32 -1/4) (+.f32 (neg.f32 (log.f32 u)) (/.f32 1/4 u)))
(+.f32 (log.f32 -1/4) (-.f32 (/.f32 1/4 u) (log.f32 u)))
(-.f32 (log.f32 -1/4) (+.f32 (log.f32 u) (/.f32 -1/4 u)))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (log.f32 -1/4) (+.f32 (log.f32 (/.f32 1 u)) (.f32 1/4 (/.f32 1 u)))))
(+.f32 (+.f32 (log.f32 -1/4) (+.f32 (neg.f32 (log.f32 u)) (/.f32 1/4 u))) (/.f32 1/32 (*.f32 u u)))
(+.f32 (-.f32 (log.f32 -1/4) (log.f32 u)) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))))
(+.f32 (log.f32 -1/4) (+.f32 (-.f32 (/.f32 1/4 u) (log.f32 u)) (/.f32 (/.f32 1/32 u) u)))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (log.f32 -1/4) (+.f32 (log.f32 (/.f32 1 u)) (+.f32 (.f32 1/4 (/.f32 1 u)) (*.f32 1/192 (/.f32 1 (pow.f32 u 3)))))))
(+.f32 (+.f32 (/.f32 1/32 (*.f32 u u)) (log.f32 -1/4)) (+.f32 (+.f32 (neg.f32 (log.f32 u)) (/.f32 1/4 u)) (/.f32 1/192 (pow.f32 u 3))))
(+.f32 (log.f32 -1/4) (+.f32 (-.f32 (+.f32 (/.f32 1/4 u) (/.f32 1/192 (pow.f32 u 3))) (log.f32 u)) (/.f32 1/32 (*.f32 u u))))
(+.f32 (log.f32 -1/4) (+.f32 (-.f32 (/.f32 1/4 u) (log.f32 u)) (+.f32 (/.f32 1/192 (pow.f32 u 3)) (/.f32 (/.f32 1/32 u) u))))
(+.f32 (log.f32 -1/4) (+.f32 (/.f32 1/4 u) (-.f32 (/.f32 1/32 (*.f32 u u)) (-.f32 (log.f32 u) (/.f32 1/192 (pow.f32 u 3))))))
(+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4))
(+.f32 (*.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)))
(+.f32 (/.f32 1/4 u) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4))))
(+.f32 (+.f32 (/.f32 1/32 (*.f32 u u)) (/.f32 1/4 u)) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)))
(+.f32 (/.f32 1/4 u) (+.f32 (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)) (/.f32 1/32 (*.f32 u u))))
(+.f32 (/.f32 1/4 u) (+.f32 (/.f32 (/.f32 1/32 u) u) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4))))
(+.f32 (/.f32 1/4 u) (+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4))))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 (/.f32 -1 u)) (+.f32 (log.f32 1/4) (*.f32 1/192 (/.f32 1 (pow.f32 u 3)))))))
(+.f32 (+.f32 (/.f32 1/32 (*.f32 u u)) (/.f32 1/4 u)) (+.f32 (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)) (/.f32 1/192 (pow.f32 u 3))))
(+.f32 (/.f32 1/4 u) (+.f32 (+.f32 (/.f32 1/192 (pow.f32 u 3)) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4))) (/.f32 1/32 (*.f32 u u))))
(+.f32 (/.f32 1/4 u) (+.f32 (log.f32 (/.f32 -1 u)) (+.f32 (/.f32 1/192 (pow.f32 u 3)) (+.f32 (/.f32 (/.f32 1/32 u) u) (log.f32 1/4)))))
(+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (log.f32 1/4) (+.f32 (/.f32 1/4 u) (+.f32 (/.f32 1/192 (pow.f32 u 3)) (log.f32 (/.f32 -1 u))))))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 u s))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 (.f32 u u) s)))
(.f32 s (.f32 u (+.f32 4 (*.f32 u 8))))
(.f32 (.f32 u (+.f32 4 (*.f32 u 8))) s)
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 (*.f32 u u) s))))
(fma.f32 4 (.f32 u s) (.f32 s (.f32 (.f32 u u) (+.f32 8 (*.f32 u 64/3)))))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 (.f32 u u) s) (.f32 64 (.f32 (pow.f32 u 4) s)))))
(+.f32 (.f32 s (.f32 u (+.f32 4 (.f32 u 8)))) (.f32 s (fma.f32 64/3 (pow.f32 u 3) (*.f32 64 (pow.f32 u 4)))))
(.f32 s (fma.f32 64 (pow.f32 u 4) (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3)))))))
(*.f32 s (+.f32 (log.f32 (/.f32 1 u)) (log.f32 -1/4)))
(*.f32 (+.f32 (neg.f32 (log.f32 u)) (log.f32 -1/4)) s)
(*.f32 (-.f32 (log.f32 -1/4) (log.f32 u)) s)
(+.f32 (.f32 s (+.f32 (log.f32 (/.f32 1 u)) (log.f32 -1/4))) (.f32 1/4 (/.f32 s u)))
(fma.f32 s (+.f32 (neg.f32 (log.f32 u)) (log.f32 -1/4)) (*.f32 1/4 (/.f32 s u)))
(fma.f32 (-.f32 (log.f32 -1/4) (log.f32 u)) s (/.f32 1/4 (/.f32 u s)))
(fma.f32 (-.f32 (log.f32 -1/4) (log.f32 u)) s (*.f32 1/4 (/.f32 s u)))
(*.f32 s (-.f32 (log.f32 -1/4) (+.f32 (log.f32 u) (/.f32 -1/4 u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 s (+.f32 (log.f32 (/.f32 1 u)) (log.f32 -1/4))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 s (+.f32 (neg.f32 (log.f32 u)) (log.f32 -1/4)) (.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (*.f32 u u)) (fma.f32 (-.f32 (log.f32 -1/4) (log.f32 u)) s (/.f32 1/4 (/.f32 u s))))
(fma.f32 (-.f32 (log.f32 -1/4) (log.f32 u)) s (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 s (+.f32 (log.f32 (/.f32 1 u)) (log.f32 -1/4))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 s (+.f32 (neg.f32 (log.f32 u)) (log.f32 -1/4)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 (-.f32 (log.f32 -1/4) (log.f32 u)) s (fma.f32 1/4 (/.f32 s u) (.f32 1/192 (/.f32 s (pow.f32 u 3))))))
(+.f32 (fma.f32 (-.f32 (log.f32 -1/4) (log.f32 u)) s (.f32 1/4 (/.f32 s u))) (.f32 (/.f32 s (*.f32 u u)) (+.f32 1/32 (/.f32 1/192 u))))
(fma.f32 (-.f32 (log.f32 -1/4) (log.f32 u)) s (.f32 (/.f32 s u) (+.f32 1/4 (+.f32 (/.f32 1/192 (.f32 u u)) (/.f32 1/32 u)))))
(*.f32 s (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)))
(*.f32 (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)) s)
(+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4))))
(fma.f32 1/4 (/.f32 s u) (*.f32 (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)) s))
(*.f32 s (+.f32 (/.f32 1/4 u) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (*.f32 s (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/4 (/.f32 s u) (.f32 (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)) s)))
(fma.f32 (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)) s (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4))))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 1/4 (/.f32 s u) (.f32 (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)) s))))
(fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)) s (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u)))))
1
(+.f32 1 (*.f32 4 u))
(+.f32 (*.f32 4 u) 1)
(fma.f32 4 u 1)
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 1 (.f32 4 u)))
(fma.f32 16 (.f32 u u) (+.f32 (.f32 4 u) 1))
(fma.f32 (*.f32 u u) 16 (fma.f32 4 u 1))
(fma.f32 4 u (fma.f32 u (*.f32 u 16) 1))
(fma.f32 4 u (fma.f32 (*.f32 u u) 16 1))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 3)) (+.f32 1 (*.f32 4 u))))
(fma.f32 16 (.f32 u u) (fma.f32 64 (pow.f32 u 3) (+.f32 (.f32 4 u) 1)))
(fma.f32 (*.f32 u u) 16 (fma.f32 (pow.f32 u 3) 64 (fma.f32 4 u 1)))
(fma.f32 u (*.f32 u 16) (fma.f32 (pow.f32 u 3) 64 (fma.f32 4 u 1)))
(fma.f32 u (*.f32 u 16) (fma.f32 4 u (fma.f32 (pow.f32 u 3) 64 1)))
(/.f32 -1/4 u)
(neg.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (.f32 1/4 (/.f32 1 u))))
(neg.f32 (+.f32 (/.f32 1/4 u) (/.f32 1/16 (*.f32 u u))))
(-.f32 (/.f32 -1/16 (*.f32 u u)) (/.f32 1/4 u))
(-.f32 (/.f32 -1/4 u) (/.f32 (/.f32 1/16 u) u))
(neg.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 3))) (*.f32 1/4 (/.f32 1 u)))))
(neg.f32 (+.f32 (/.f32 1/16 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (/.f32 1/64 (pow.f32 u 3)))))
(-.f32 (/.f32 -1/16 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (/.f32 1/64 (pow.f32 u 3))))
(+.f32 (-.f32 (/.f32 -1/16 (*.f32 u u)) (/.f32 1/4 u)) (/.f32 -1/64 (pow.f32 u 3)))
(+.f32 (-.f32 (/.f32 -1/4 u) (/.f32 (/.f32 1/16 u) u)) (/.f32 -1/64 (pow.f32 u 3)))
(neg.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (.f32 1/4 (/.f32 1 u))))))
(neg.f32 (+.f32 (+.f32 (/.f32 1/16 (*.f32 u u)) (/.f32 1/64 (pow.f32 u 3))) (+.f32 (/.f32 1/4 u) (/.f32 1/256 (pow.f32 u 4)))))
(-.f32 (/.f32 -1/16 (*.f32 u u)) (+.f32 (/.f32 1/64 (pow.f32 u 3)) (+.f32 (/.f32 1/4 u) (/.f32 1/256 (pow.f32 u 4)))))
(-.f32 (+.f32 (-.f32 (/.f32 -1/16 (*.f32 u u)) (/.f32 1/4 u)) (/.f32 -1/64 (pow.f32 u 3))) (/.f32 1/256 (pow.f32 u 4)))
(+.f32 (/.f32 -1/16 (*.f32 u u)) (-.f32 (/.f32 -1/4 u) (-.f32 (/.f32 1/64 (pow.f32 u 3)) (/.f32 -1/256 (pow.f32 u 4)))))
(/.f32 -1/4 u)
(neg.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (.f32 1/4 (/.f32 1 u))))
(neg.f32 (+.f32 (/.f32 1/4 u) (/.f32 1/16 (*.f32 u u))))
(-.f32 (/.f32 -1/16 (*.f32 u u)) (/.f32 1/4 u))
(-.f32 (/.f32 -1/4 u) (/.f32 (/.f32 1/16 u) u))
(neg.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 3))) (*.f32 1/4 (/.f32 1 u)))))
(neg.f32 (+.f32 (/.f32 1/16 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (/.f32 1/64 (pow.f32 u 3)))))
(-.f32 (/.f32 -1/16 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (/.f32 1/64 (pow.f32 u 3))))
(+.f32 (-.f32 (/.f32 -1/16 (*.f32 u u)) (/.f32 1/4 u)) (/.f32 -1/64 (pow.f32 u 3)))
(+.f32 (-.f32 (/.f32 -1/4 u) (/.f32 (/.f32 1/16 u) u)) (/.f32 -1/64 (pow.f32 u 3)))
(neg.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (.f32 1/4 (/.f32 1 u))))))
(neg.f32 (+.f32 (+.f32 (/.f32 1/16 (*.f32 u u)) (/.f32 1/64 (pow.f32 u 3))) (+.f32 (/.f32 1/4 u) (/.f32 1/256 (pow.f32 u 4)))))
(-.f32 (/.f32 -1/16 (*.f32 u u)) (+.f32 (/.f32 1/64 (pow.f32 u 3)) (+.f32 (/.f32 1/4 u) (/.f32 1/256 (pow.f32 u 4)))))
(-.f32 (+.f32 (-.f32 (/.f32 -1/16 (*.f32 u u)) (/.f32 1/4 u)) (/.f32 -1/64 (pow.f32 u 3))) (/.f32 1/256 (pow.f32 u 4)))
(+.f32 (/.f32 -1/16 (*.f32 u u)) (-.f32 (/.f32 -1/4 u) (-.f32 (/.f32 1/64 (pow.f32 u 3)) (/.f32 -1/256 (pow.f32 u 4)))))

localize32.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (*.f32 u -4))
✓	0.2b	(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))

Compiler

Compiled 24 to 17 computations (29.2% saved)

series31.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	s	@	0	(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
1.0ms	s	@	inf	(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
1.0ms	u	@	inf	(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
1.0ms	u	@	0	(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
1.0ms	u	@	-inf	(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`pow1_binary32`
592×	`add-log-exp_binary32`
591×	`expm1-log1p-u_binary32`
590×	`log1p-expm1-u_binary32`
580×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	162	15
2	1939	15

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(log1p.f32 (*.f32 u -4))

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

Outputs

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

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

549×	`associate-l_binary32`
510×	`fma-def_binary32`
470×	`associate-+l-_binary32`
400×	`associate-r_binary32`
369×	`fma-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	700
1	291	662
2	864	642
3	2825	609

Stop Event

1×	node limit

Counts

79 → 93

Calls

Call 1

Inputs
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 4 (.f32 s u))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
(*.f32 -4 u)
(+.f32 (.f32 -4 u) (.f32 -8 (pow.f32 u 2)))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (*.f32 -64/3 (pow.f32 u 3))))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 -64 (pow.f32 u 4)) (.f32 -64/3 (pow.f32 u 3)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))

Outputs
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 4 (.f32 s u))
(.f32 s (.f32 u 4))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(fma.f32 4 (.f32 s u) (.f32 (.f32 8 s) (.f32 u u)))
(fma.f32 4 (.f32 s u) (.f32 s (.f32 (.f32 u u) 8)))
(.f32 s (+.f32 (.f32 u 4) (.f32 u (.f32 u 8))))
(.f32 s (.f32 u (+.f32 4 (*.f32 u 8))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 s u) (.f32 (.f32 8 s) (*.f32 u u))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 s u) (.f32 s (.f32 (*.f32 u u) 8))))
(fma.f32 s (.f32 u 4) (.f32 (.f32 u u) (+.f32 (.f32 s 8) (.f32 s (.f32 64/3 u)))))
(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 s u) (fma.f32 8 (.f32 s (.f32 u u)) (.f32 64 (.f32 s (pow.f32 u 4))))))
(fma.f32 s (.f32 64/3 (pow.f32 u 3)) (fma.f32 s (.f32 u (.f32 u 8)) (.f32 s (+.f32 (.f32 u 4) (.f32 64 (pow.f32 u 4))))))
(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (.f32 u (+.f32 4 (*.f32 u 8)))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(neg.f32 (*.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))))
(*.f32 s (neg.f32 (+.f32 (log.f32 u) (log.f32 -4))))
(*.f32 s (-.f32 (neg.f32 (log.f32 u)) (log.f32 -4)))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))
(fma.f32 -1 (.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (.f32 1/4 (/.f32 s u)))
(-.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (log.f32 u) (log.f32 -4))))
(-.f32 (/.f32 (.f32 s 1/4) u) (.f32 s (+.f32 (log.f32 u) (log.f32 -4))))
(*.f32 s (-.f32 (/.f32 1/4 u) (+.f32 (log.f32 u) (log.f32 -4))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 -1 (.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (-.f32 (.f32 1/4 (/.f32 s u)) (*.f32 s (+.f32 (log.f32 u) (log.f32 -4)))))
(fma.f32 s (neg.f32 (+.f32 (log.f32 u) (log.f32 -4))) (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))))
(-.f32 (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))) (.f32 s (+.f32 (log.f32 u) (log.f32 -4))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 -1 (.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (*.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (-.f32 (.f32 1/4 (/.f32 s u)) (*.f32 s (+.f32 (log.f32 u) (log.f32 -4))))))
(fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 s (neg.f32 (+.f32 (log.f32 u) (log.f32 -4))) (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u)))))
(+.f32 (.f32 s (-.f32 (/.f32 1/192 (pow.f32 u 3)) (+.f32 (log.f32 u) (log.f32 -4)))) (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(neg.f32 (*.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))))
(*.f32 s (neg.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))
(*.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (neg.f32 s))
(*.f32 s (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/4 (/.f32 s u)))
(fma.f32 -1 (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (.f32 1/4 (/.f32 s u)))
(-.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))
(-.f32 (/.f32 (.f32 s 1/4) u) (.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))
(*.f32 s (+.f32 (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) (/.f32 1/4 u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 -1 (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (-.f32 (.f32 1/4 (/.f32 s u)) (*.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))))
(fma.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (neg.f32 s) (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))))
(fma.f32 s (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 -1 (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (*.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (-.f32 (fma.f32 1/4 (/.f32 s u) (/.f32 (.f32 s 1/192) (pow.f32 u 3))) (*.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))))
(+.f32 (fma.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (neg.f32 s) (.f32 (/.f32 1/192 (pow.f32 u 3)) s)) (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))))
(fma.f32 s (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) (.f32 (/.f32 s u) (+.f32 1/4 (+.f32 (/.f32 1/32 u) (/.f32 1/192 (.f32 u u))))))
(*.f32 -4 u)
(+.f32 (.f32 -4 u) (.f32 -8 (pow.f32 u 2)))
(fma.f32 -4 u (.f32 (.f32 u u) -8))
(fma.f32 -4 u (.f32 u (.f32 u -8)))
(.f32 u (+.f32 (.f32 u -8) -4))
(.f32 u (+.f32 -4 (.f32 u -8)))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (*.f32 -64/3 (pow.f32 u 3))))
(fma.f32 -4 u (fma.f32 -8 (.f32 u u) (.f32 (pow.f32 u 3) -64/3)))
(fma.f32 -4 u (fma.f32 (.f32 u u) -8 (.f32 (pow.f32 u 3) -64/3)))
(fma.f32 -4 u (.f32 (.f32 u u) (+.f32 -8 (*.f32 u -64/3))))
(.f32 u (+.f32 -4 (.f32 u (+.f32 -8 (*.f32 u -64/3)))))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 -64 (pow.f32 u 4)) (.f32 -64/3 (pow.f32 u 3)))))
(fma.f32 -4 u (fma.f32 -8 (.f32 u u) (fma.f32 -64 (pow.f32 u 4) (.f32 (pow.f32 u 3) -64/3))))
(fma.f32 -4 u (fma.f32 (.f32 u u) -8 (fma.f32 (pow.f32 u 3) -64/3 (.f32 (pow.f32 u 4) -64))))
(fma.f32 -4 u (fma.f32 (pow.f32 u 4) -64 (.f32 (.f32 u u) (+.f32 -8 (*.f32 u -64/3)))))
(fma.f32 -4 u (.f32 (.f32 u u) (+.f32 -8 (.f32 u (+.f32 -64/3 (.f32 -64 u))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))
(fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))
(+.f32 (log.f32 u) (log.f32 -4))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (/.f32 1/4 u))
(+.f32 (log.f32 u) (+.f32 (log.f32 -4) (/.f32 -1/4 u)))
(+.f32 (log.f32 -4) (+.f32 (log.f32 u) (/.f32 -1/4 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))))
(+.f32 (+.f32 (log.f32 -4) (-.f32 (log.f32 u) (/.f32 1/32 (*.f32 u u)))) (/.f32 -1/4 u))
(+.f32 (log.f32 u) (+.f32 (log.f32 -4) (+.f32 (/.f32 -1/4 u) (/.f32 -1/32 (*.f32 u u)))))
(-.f32 (log.f32 -4) (+.f32 (/.f32 1/4 u) (-.f32 (/.f32 1/32 (*.f32 u u)) (log.f32 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (/.f32 1/192 (pow.f32 u 3)))))
(+.f32 (log.f32 u) (-.f32 (log.f32 -4) (+.f32 (/.f32 1/4 u) (+.f32 (/.f32 1/192 (pow.f32 u 3)) (/.f32 1/32 (*.f32 u u))))))
(+.f32 (log.f32 u) (+.f32 (log.f32 -4) (+.f32 (/.f32 -1/4 u) (+.f32 (/.f32 -1/32 (*.f32 u u)) (/.f32 -1/192 (pow.f32 u 3))))))
(+.f32 (/.f32 -1/4 u) (+.f32 (log.f32 -4) (+.f32 (log.f32 u) (-.f32 (/.f32 -1/32 (*.f32 u u)) (/.f32 1/192 (pow.f32 u 3))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))
(fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))
(-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (/.f32 1/4 u))
(-.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 1/4 u))
(+.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 -1/4 u))
(-.f32 (log.f32 4) (+.f32 (/.f32 1/4 u) (log.f32 (/.f32 -1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))))
(-.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))))
(+.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 -1/4 u) (/.f32 -1/32 (*.f32 u u))))
(+.f32 (+.f32 (log.f32 4) (/.f32 -1/4 u)) (-.f32 (/.f32 -1/32 (*.f32 u u)) (log.f32 (/.f32 -1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (/.f32 1/192 (pow.f32 u 3)))))
(-.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 1/4 u) (+.f32 (/.f32 1/192 (pow.f32 u 3)) (/.f32 1/32 (*.f32 u u)))))
(-.f32 (-.f32 (-.f32 (log.f32 4) (/.f32 1/32 (*.f32 u u))) (+.f32 (/.f32 1/4 u) (/.f32 1/192 (pow.f32 u 3)))) (log.f32 (/.f32 -1 u)))
(+.f32 (+.f32 (+.f32 (log.f32 4) (/.f32 -1/4 u)) (-.f32 (/.f32 -1/32 (*.f32 u u)) (log.f32 (/.f32 -1 u)))) (/.f32 -1/192 (pow.f32 u 3)))

eval103.0ms (1.1%)

Compiler: Compiled 4186 to 3247 computations (22.4% saved)

prune113.0ms (1.2%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	273	16	289
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	273	18	291

Error

0.0b

Counts

291 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.1b	(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
	2.9b	(exp.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))
	3.9b	(.f32 s (+.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u))))) (log1p.f32 (.f32 4 u))))
	9.0b	(.f32 s (.f32 u 4))
	2.4b	(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
	1.3b	(.f32 s (exp.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))
	3.1b	(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
	0.5b	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
	0.7b	(.f32 s (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 3))
	10.9b	(.f32 s (neg.f32 (log.f32 (+.f32 (.f32 u -4) 1))))
▶	3.2b	(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
▶	0.7b	(pow.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 3)
▶	9.0b	(.f32 4 (.f32 u s))
	4.7b	(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
▶	0.4b	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))))
✓	0.2b	(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
✓	11.6b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
	4.7b	(.f32 (.f32 u (+.f32 4 (*.f32 u 8))) s)

Compiler

Compiled 475 to 367 computations (22.7% saved)

localize150.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f32 (*.f32 u -4))
✓	0.2b	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))))
✓	0.3b	(.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (*.f32 u -4)))))
✓	0.4b	(.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))

Compiler

Compiled 46 to 37 computations (19.6% saved)

series52.0ms (0.5%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
45.0ms	u	@	-inf	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))))
1.0ms	u	@	0	(.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))
1.0ms	u	@	inf	(.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))
1.0ms	u	@	-inf	(.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))
1.0ms	u	@	inf	(.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (*.f32 u -4)))))

rewrite87.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`pow1_binary32`
845×	`add-log-exp_binary32`
844×	`expm1-log1p-u_binary32`
843×	`log1p-expm1-u_binary32`
831×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	250	24
2	2655	24

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

Inputs
(.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (*.f32 u -4)))))
(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 1/3 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 1/3 (log1p.f32 (*.f32 u -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 1/3 (log1p.f32 (*.f32 u -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 1/3 (log1p.f32 (*.f32 u -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 1/3 (log1p.f32 (*.f32 u -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 1/3 (log1p.f32 (*.f32 u -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 1/3 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 1/9 (pow.f32 (log1p.f32 (*.f32 u -4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 1/3) (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 1/3 (log1p.f32 (*.f32 u -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 1/3 (log1p.f32 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 1/3 (log1p.f32 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 1/3 (log1p.f32 (*.f32 u -4)))))))))

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

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

simplify112.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary32`
728×	`fma-def_binary32`
433×	`+-commutative_binary32`
385×	`associate-+l-_binary32`
314×	`associate-+l+_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	972
1	386	902
2	1108	860
3	3365	837
4	7419	837

Stop Event

1×	node limit

Counts

91 → 117

Calls

Call 1

Inputs
(*.f32 4/3 u)
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (+.f32 (.f32 4/3 u) (*.f32 64/9 (pow.f32 u 3))))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (+.f32 (.f32 4/3 u) (+.f32 (.f32 64/3 (pow.f32 u 4)) (.f32 64/9 (pow.f32 u 3)))))
(.f32 -1/3 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))
(+.f32 (.f32 1/12 (/.f32 1 u)) (.f32 -1/3 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (.f32 1/96 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/12 (/.f32 1 u)) (.f32 -1/3 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))))
(+.f32 (.f32 1/576 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 1/96 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/12 (/.f32 1 u)) (.f32 -1/3 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))))
(.f32 -1/3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))
(+.f32 (.f32 -1/3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) (*.f32 1/12 (/.f32 1 u)))
(+.f32 (.f32 1/96 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 -1/3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) (.f32 1/12 (/.f32 1 u))))
(+.f32 (.f32 1/576 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 1/96 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 -1/3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) (*.f32 1/12 (/.f32 1 u)))))
(*.f32 4 u)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))
(+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 -1 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) (*.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))
(+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 -1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) (*.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 4 (.f32 s u))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))

Outputs
(*.f32 4/3 u)
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(fma.f32 8/3 (.f32 u u) (.f32 4/3 u))
(fma.f32 4/3 u (.f32 u (.f32 u 8/3)))
(.f32 u (+.f32 4/3 (.f32 u 8/3)))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (+.f32 (.f32 4/3 u) (*.f32 64/9 (pow.f32 u 3))))
(fma.f32 8/3 (.f32 u u) (fma.f32 4/3 u (.f32 64/9 (pow.f32 u 3))))
(fma.f32 4/3 u (.f32 (.f32 u u) (+.f32 8/3 (*.f32 u 64/9))))
(.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (*.f32 u 64/9)))))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (+.f32 (.f32 4/3 u) (+.f32 (.f32 64/3 (pow.f32 u 4)) (.f32 64/9 (pow.f32 u 3)))))
(fma.f32 8/3 (.f32 u u) (fma.f32 4/3 u (fma.f32 64/3 (pow.f32 u 4) (.f32 64/9 (pow.f32 u 3)))))
(fma.f32 8/3 (.f32 u u) (fma.f32 4/3 u (fma.f32 64/9 (pow.f32 u 3) (.f32 64/3 (pow.f32 u 4)))))
(fma.f32 u (.f32 u 8/3) (fma.f32 64/9 (pow.f32 u 3) (fma.f32 4/3 u (.f32 64/3 (pow.f32 u 4)))))
(fma.f32 4/3 u (.f32 (.f32 u u) (+.f32 8/3 (.f32 u (+.f32 (.f32 u 64/3) 64/9)))))
(.f32 -1/3 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))
(*.f32 -1/3 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))
(*.f32 -1/3 (+.f32 (log.f32 u) (log.f32 -4)))
(+.f32 (.f32 1/12 (/.f32 1 u)) (.f32 -1/3 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (*.f32 -1/3 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (/.f32 1/12 u))
(fma.f32 -1/3 (+.f32 (log.f32 u) (log.f32 -4)) (/.f32 1/12 u))
(+.f32 (.f32 1/96 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/12 (/.f32 1 u)) (.f32 -1/3 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))))
(+.f32 (+.f32 (/.f32 1/96 (.f32 u u)) (/.f32 1/12 u)) (.f32 -1/3 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))))
(+.f32 (fma.f32 -1/3 (+.f32 (log.f32 u) (log.f32 -4)) (/.f32 1/12 u)) (/.f32 1/96 (*.f32 u u)))
(+.f32 (/.f32 1/12 u) (fma.f32 -1/3 (+.f32 (log.f32 u) (log.f32 -4)) (/.f32 1/96 (*.f32 u u))))
(+.f32 (.f32 1/576 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 1/96 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/12 (/.f32 1 u)) (.f32 -1/3 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))))
(+.f32 (+.f32 (+.f32 (/.f32 1/96 (.f32 u u)) (/.f32 1/12 u)) (.f32 -1/3 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (/.f32 1/576 (pow.f32 u 3)))
(+.f32 (+.f32 (fma.f32 -1/3 (+.f32 (log.f32 u) (log.f32 -4)) (/.f32 1/12 u)) (/.f32 1/96 (*.f32 u u))) (/.f32 1/576 (pow.f32 u 3)))
(+.f32 (/.f32 1/12 u) (+.f32 (/.f32 1/96 (*.f32 u u)) (fma.f32 -1/3 (+.f32 (log.f32 u) (log.f32 -4)) (/.f32 1/576 (pow.f32 u 3)))))
(.f32 -1/3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))
(*.f32 -1/3 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)))
(*.f32 -1/3 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))
(+.f32 (.f32 -1/3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) (*.f32 1/12 (/.f32 1 u)))
(fma.f32 -1/3 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (/.f32 1/12 u))
(fma.f32 -1/3 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 1/12 u))
(+.f32 (.f32 1/96 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 -1/3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) (.f32 1/12 (/.f32 1 u))))
(+.f32 (/.f32 1/96 (*.f32 u u)) (fma.f32 -1/3 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (/.f32 1/12 u)))
(+.f32 (/.f32 1/96 (*.f32 u u)) (fma.f32 -1/3 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 1/12 u)))
(+.f32 (/.f32 1/12 u) (fma.f32 -1/3 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 1/96 (*.f32 u u))))
(+.f32 (.f32 1/576 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 1/96 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 -1/3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) (*.f32 1/12 (/.f32 1 u)))))
(+.f32 (+.f32 (/.f32 1/576 (pow.f32 u 3)) (/.f32 1/96 (*.f32 u u))) (fma.f32 -1/3 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (/.f32 1/12 u)))
(+.f32 (/.f32 1/96 (*.f32 u u)) (+.f32 (fma.f32 -1/3 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 1/12 u)) (/.f32 1/576 (pow.f32 u 3))))
(+.f32 (fma.f32 -1/3 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 1/12 u)) (+.f32 (/.f32 1/96 (*.f32 u u)) (/.f32 1/576 (pow.f32 u 3))))
(+.f32 (/.f32 1/12 u) (+.f32 (/.f32 1/576 (pow.f32 u 3)) (fma.f32 -1/3 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 1/96 (*.f32 u u)))))
(*.f32 4 u)
(*.f32 u 4)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(fma.f32 u 4 (.f32 u (.f32 u 8)))
(.f32 u (+.f32 4 (.f32 u 8)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(fma.f32 8 (.f32 u u) (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)))
(fma.f32 (.f32 u u) 8 (fma.f32 u 4 (.f32 (pow.f32 u 3) 64/3)))
(fma.f32 u 4 (.f32 (.f32 u u) (+.f32 8 (*.f32 u 64/3))))
(.f32 u (+.f32 4 (.f32 u (+.f32 8 (*.f32 u 64/3)))))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(fma.f32 8 (.f32 u u) (fma.f32 64 (pow.f32 u 4) (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4))))
(fma.f32 (.f32 u u) 8 (fma.f32 (pow.f32 u 4) 64 (fma.f32 u 4 (.f32 (pow.f32 u 3) 64/3))))
(fma.f32 (pow.f32 u 4) 64 (fma.f32 u 4 (.f32 (.f32 u u) (+.f32 8 (*.f32 u 64/3)))))
(fma.f32 (pow.f32 u 4) 64 (.f32 u (+.f32 4 (.f32 u (+.f32 8 (*.f32 u 64/3))))))
(.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))
(neg.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))
(neg.f32 (+.f32 (log.f32 u) (log.f32 -4)))
(-.f32 (neg.f32 (log.f32 u)) (log.f32 -4))
(+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 -1 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (neg.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (/.f32 1/4 u))
(-.f32 (/.f32 1/4 u) (+.f32 (log.f32 u) (log.f32 -4)))
(-.f32 (-.f32 (/.f32 1/4 u) (log.f32 u)) (log.f32 -4))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))))
(+.f32 (+.f32 (/.f32 1/32 (*.f32 u u)) (/.f32 1/4 u)) (neg.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))))
(-.f32 (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))) (+.f32 (log.f32 u) (log.f32 -4)))
(-.f32 (/.f32 1/32 (*.f32 u u)) (-.f32 (log.f32 -4) (-.f32 (/.f32 1/4 u) (log.f32 u))))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) (*.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(+.f32 (+.f32 (/.f32 1/32 (*.f32 u u)) (/.f32 1/4 u)) (fma.f32 -1 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (/.f32 1/192 (pow.f32 u 3))))
(+.f32 (-.f32 (/.f32 1/4 u) (+.f32 (log.f32 u) (log.f32 -4))) (+.f32 (/.f32 1/192 (pow.f32 u 3)) (/.f32 1/32 (*.f32 u u))))
(+.f32 (/.f32 1/4 u) (+.f32 (/.f32 1/192 (pow.f32 u 3)) (-.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (log.f32 u) (log.f32 -4)))))
(+.f32 (/.f32 1/4 u) (+.f32 (/.f32 1/32 (*.f32 u u)) (-.f32 (/.f32 1/192 (pow.f32 u 3)) (+.f32 (log.f32 u) (log.f32 -4)))))
(.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))
(neg.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)))
(neg.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))
(-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4))
(+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 -1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(+.f32 (/.f32 1/4 u) (neg.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))))
(-.f32 (/.f32 1/4 u) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))
(+.f32 (/.f32 1/4 u) (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)))
(+.f32 (log.f32 (/.f32 -1 u)) (-.f32 (/.f32 1/4 u) (log.f32 4)))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))))
(+.f32 (+.f32 (/.f32 1/32 (*.f32 u u)) (/.f32 1/4 u)) (neg.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))))
(+.f32 (/.f32 1/32 (*.f32 u u)) (-.f32 (/.f32 1/4 u) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))
(+.f32 (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))))
(-.f32 (+.f32 (/.f32 1/4 u) (+.f32 (log.f32 (/.f32 -1 u)) (/.f32 1/32 (*.f32 u u)))) (log.f32 4))
(+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) (*.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(+.f32 (+.f32 (/.f32 1/32 (*.f32 u u)) (/.f32 1/4 u)) (fma.f32 -1 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (/.f32 1/192 (pow.f32 u 3))))
(+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (-.f32 (/.f32 1/192 (pow.f32 u 3)) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))))
(+.f32 (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) (+.f32 (/.f32 1/4 u) (+.f32 (/.f32 1/32 (*.f32 u u)) (/.f32 1/192 (pow.f32 u 3)))))
(+.f32 (/.f32 1/192 (pow.f32 u 3)) (-.f32 (+.f32 (/.f32 1/4 u) (+.f32 (log.f32 (/.f32 -1 u)) (/.f32 1/32 (*.f32 u u)))) (log.f32 4)))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 u s))
(.f32 u (.f32 4 s))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 (.f32 u u) s)))
(fma.f32 4 (.f32 u s) (.f32 (.f32 u u) (.f32 8 s)))
(.f32 s (.f32 u (+.f32 4 (*.f32 u 8))))
(.f32 u (.f32 s (+.f32 4 (*.f32 u 8))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 (*.f32 u u) s))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 (.f32 u u) (*.f32 8 s))))
(fma.f32 u (.f32 4 s) (.f32 s (.f32 (.f32 u u) (+.f32 8 (*.f32 u 64/3)))))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 (.f32 u u) s) (.f32 (.f32 64 s) (pow.f32 u 4)))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 (.f32 u u) s) (.f32 (pow.f32 u 4) (.f32 64 s)))))
(+.f32 (.f32 s (.f32 u (+.f32 4 (.f32 u 8)))) (.f32 s (fma.f32 (pow.f32 u 4) 64 (*.f32 (pow.f32 u 3) 64/3))))
(.f32 s (fma.f32 (pow.f32 u 4) 64 (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3)))))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(neg.f32 (*.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) s))
(*.f32 (+.f32 (log.f32 u) (log.f32 -4)) (neg.f32 s))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))
(fma.f32 -1 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) s) (.f32 1/4 (/.f32 s u)))
(-.f32 (.f32 1/4 (/.f32 s u)) (.f32 (+.f32 (log.f32 u) (log.f32 -4)) s))
(fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) (neg.f32 s) (*.f32 1/4 (/.f32 s u)))
(*.f32 s (-.f32 (-.f32 (/.f32 1/4 u) (log.f32 u)) (log.f32 -4)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 -1 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) s) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (-.f32 (.f32 1/4 (/.f32 s u)) (*.f32 (+.f32 (log.f32 u) (log.f32 -4)) s)))
(-.f32 (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))) (.f32 (+.f32 (log.f32 u) (log.f32 -4)) s))
(fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) (neg.f32 s) (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 -1 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) s) (*.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (-.f32 (.f32 1/4 (/.f32 s u)) (*.f32 (+.f32 (log.f32 u) (log.f32 -4)) s))))
(fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (-.f32 (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))) (.f32 (+.f32 (log.f32 u) (log.f32 -4)) s)))
(+.f32 (.f32 (/.f32 s (.f32 u u)) (+.f32 1/32 (/.f32 1/192 u))) (*.f32 s (-.f32 (-.f32 (/.f32 1/4 u) (log.f32 u)) (log.f32 -4))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(neg.f32 (*.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) s))
(*.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (neg.f32 s))
(*.f32 (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) s)
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/4 (/.f32 s u)))
(fma.f32 -1 (.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) s) (.f32 1/4 (/.f32 s u)))
(-.f32 (.f32 1/4 (/.f32 s u)) (.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) s))
(fma.f32 1/4 (/.f32 s u) (*.f32 (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) s))
(*.f32 s (+.f32 (log.f32 (/.f32 -1 u)) (-.f32 (/.f32 1/4 u) (log.f32 4))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 -1 (.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) s) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (-.f32 (.f32 1/4 (/.f32 s u)) (*.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) s)))
(fma.f32 (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) s (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 -1 (.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) s) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (*.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (-.f32 (fma.f32 1/4 (/.f32 s u) (.f32 1/192 (/.f32 s (pow.f32 u 3)))) (*.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) s)))
(+.f32 (fma.f32 (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) s (.f32 1/192 (/.f32 s (pow.f32 u 3)))) (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))))
(fma.f32 (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) s (.f32 (/.f32 s u) (+.f32 1/4 (+.f32 (/.f32 1/192 (.f32 u u)) (/.f32 1/32 u)))))

localize30.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 u s)
✓	0.1b	(.f32 4 (.f32 u s))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series11.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	s	@	0	(.f32 4 (.f32 u s))
1.0ms	u	@	0	(.f32 4 (.f32 u s))
1.0ms	u	@	inf	(.f32 4 (.f32 u s))
1.0ms	s	@	inf	(.f32 4 (.f32 u s))
1.0ms	u	@	-inf	(*.f32 u s)

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`pow1_binary32`
510×	`add-log-exp_binary32`
510×	`log1p-expm1-u_binary32`
510×	`expm1-log1p-u_binary32`
500×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	122	11
2	1394	11

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f32 4 (.f32 u s))
(*.f32 u s)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 4 (*.f32 u s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 4 (*.f32 u s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 4 (*.f32 u s)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 4 (*.f32 u s))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 4 (*.f32 u s))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 u s) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 4) (*.f32 u s)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 4 (*.f32 u s)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 4 (*.f32 u s))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 4 (*.f32 u s))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 4 (*.f32 u s))))))))

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary32`
3×	`associate-r_binary32`
3×	`associate-l_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	264
1	10	264
2	17	264
3	19	264

Stop Event

1×

saturated

Counts

70 → 24

Calls

Call 1

Inputs
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)

Outputs
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 s u))
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)
(*.f32 s u)

localize51.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (.f32 64/3 u) 8)))
✓	0.2b	(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
✓	0.3b	(.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))
✓	0.4b	(*.f32 64/3 u)

Compiler

Compiled 58 to 36 computations (37.9% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	s	@	0	(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
1.0ms	s	@	inf	(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
1.0ms	u	@	inf	(.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))
1.0ms	u	@	inf	(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
1.0ms	s	@	-inf	(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))

rewrite97.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`log-prod_binary32`
593×	`fma-def_binary32`
293×	`fma-neg_binary32`
257×	`pow1/3_binary32`
249×	`expm1-udef_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	297	46
2	4143	42

Stop Event

1×	node limit

Counts

4 → 228

Calls

Call 1

Inputs
(*.f32 64/3 u)
(.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))
(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
(+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (.f32 64/3 u) 8)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 64/3 u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (.f32 64/3 u))) (cbrt.f32 (exp.f32 (.f32 64/3 u))))) (log.f32 (cbrt.f32 (exp.f32 (.f32 64/3 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (.f32 64/3 u)))) (log.f32 (sqrt.f32 (exp.f32 (.f32 64/3 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 64/3 u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 64/3 u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 64/3 u)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 64/3 u)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 262144/27 (pow.f32 u 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (.f32 u u) 4096/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 64/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 64/3 u))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 262144/27 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 64/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 64/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 64/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 64/3 u)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 8 u) u) (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (.f32 u u) (fma.f32 64/3 u 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 64/3 (pow.f32 u 3)) 1) (.f32 (.f32 (.f32 8 u) u) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u) u) (fma.f32 64/3 u 8))) (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u) u) (fma.f32 64/3 u 8))))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u) u) (fma.f32 64/3 u 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u) u) (fma.f32 64/3 u 8)))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u) u) (fma.f32 64/3 u 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 64/3 (pow.f32 u 3)) 3) (pow.f32 (.f32 (.f32 8 u) u) 3)) (fma.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64/3 (pow.f32 u 3)) (-.f32 (.f32 (.f32 (.f32 8 u) u) (.f32 (.f32 8 u) u)) (.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 (.f32 8 u) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 64/3 (pow.f32 u 3)) (neg.f32 (.f32 (.f32 (.f32 8 u) u) (.f32 (.f32 8 u) u)))) (-.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 (.f32 8 u) u)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 262144/27 (pow.f32 u 3) 512) (.f32 u u)) (-.f32 (fma.f32 (.f32 u u) 4096/9 64) (.f32 u 512/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 (.f32 u u) 4096/9 -64) (.f32 u u)) (fma.f32 64/3 u -8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u u) (fma.f32 262144/27 (pow.f32 u 3) 512)) (-.f32 (fma.f32 (.f32 u u) 4096/9 64) (.f32 u 512/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u u) (fma.f32 (.f32 u u) 4096/9 -64)) (fma.f32 64/3 u -8))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (sqrt.f32 (fma.f32 64/3 u 8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 u 4) (pow.f32 (fma.f32 64/3 u 8) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u) u) (fma.f32 64/3 u 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (exp.f32 (.f32 (.f32 8 u) u)) (exp.f32 (.f32 64/3 (pow.f32 u 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (fma.f32 2 (log.f32 u) (log.f32 (fma.f32 64/3 u 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (fma.f32 2 (log.f32 u) (log.f32 (fma.f32 64/3 u 8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 64/3 (pow.f32 u 3) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u (.f32 u (.f32 64/3 u)) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u (.f32 u 8) (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u (.f32 64/3 (.f32 u u)) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 64/3 u) (.f32 u u) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u u) (.f32 64/3 u) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u u) 8 (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 8 (.f32 u u) (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 64/3 (pow.f32 u 3)) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 (.f32 8 u) u) (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u 3) 64/3 (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 u 4)) (.f32 (pow.f32 (cbrt.f32 u) 2) (.f32 64/3 u)) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 u 4)) (.f32 (pow.f32 (cbrt.f32 u) 2) 8) (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (.f32 (.f32 u u) 4096/9)) (.f32 (cbrt.f32 (.f32 64/3 u)) (.f32 u u)) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 64/3 u)) (.f32 (sqrt.f32 (.f32 64/3 u)) (.f32 u u)) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 64/3 (pow.f32 u 3)) 1 (.f32 (.f32 (.f32 8 u) u) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (cbrt.f32 (.f32 64/3 (pow.f32 u 3))) (cbrt.f32 (.f32 64/3 (pow.f32 u 3)))) (cbrt.f32 (.f32 64/3 (pow.f32 u 3))) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (cbrt.f32 (.f32 (.f32 8 u) u)) (cbrt.f32 (.f32 (.f32 8 u) u))) (cbrt.f32 (.f32 (.f32 8 u) u)) (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 64/3 (pow.f32 u 3))) (sqrt.f32 (.f32 64/3 (pow.f32 u 3))) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 (.f32 8 u) u)) (sqrt.f32 (.f32 (.f32 8 u) u)) (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (sqrt.f32 (.f32 64/3 u))) (.f32 u (sqrt.f32 (.f32 64/3 u))) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 (.f32 64/3 u)) u) (.f32 (sqrt.f32 (.f32 64/3 u)) u) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 64/3 u) u) u (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 8 u) u (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u u) 64/3) u (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u u) (cbrt.f32 (.f32 (.f32 u u) 4096/9))) (cbrt.f32 (.f32 64/3 u)) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u u) (sqrt.f32 (.f32 64/3 u))) (sqrt.f32 (.f32 64/3 u)) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 64/3 u) (cbrt.f32 (pow.f32 u 4))) (pow.f32 (cbrt.f32 u) 2) (.f32 (.f32 8 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 8 (cbrt.f32 (pow.f32 u 4))) (pow.f32 (cbrt.f32 u) 2) (.f32 64/3 (pow.f32 u 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u (.f32 4 s)) (.f32 (.f32 u u) (.f32 (fma.f32 64/3 u 8) s)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u u) (.f32 (fma.f32 64/3 u 8) s)) (.f32 u (.f32 4 s)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 s (.f32 u (fma.f32 u (fma.f32 64/3 u 8) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u (.f32 4 s)) 1) (.f32 (.f32 (.f32 u u) (.f32 (fma.f32 64/3 u 8) s)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 (.f32 u (fma.f32 u (fma.f32 64/3 u 8) 4))) s)) (cbrt.f32 (pow.f32 (exp.f32 (.f32 u (fma.f32 u (fma.f32 64/3 u 8) 4))) s)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (.f32 u (fma.f32 u (fma.f32 64/3 u 8) 4))) s))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (.f32 u (fma.f32 u (fma.f32 64/3 u 8) 4))) s))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (.f32 u (fma.f32 u (fma.f32 64/3 u 8) 4))) s))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 s (.f32 u (fma.f32 u (fma.f32 64/3 u 8) 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 u (.f32 4 s)) 3) (pow.f32 (.f32 (.f32 u u) (.f32 (fma.f32 64/3 u 8) s)) 3)) (fma.f32 (.f32 u (.f32 4 s)) (.f32 u (.f32 4 s)) (-.f32 (.f32 (.f32 (.f32 u u) (.f32 (fma.f32 64/3 u 8) s)) (.f32 (.f32 u u) (.f32 (fma.f32 64/3 u 8) s))) (.f32 (.f32 u (.f32 4 s)) (.f32 (.f32 u u) (.f32 (fma.f32 64/3 u 8) s))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (.f32 u (.f32 4 s)) (.f32 u (.f32 4 s))) (.f32 (.f32 (.f32 u u) (.f32 (fma.f32 64/3 u 8) s)) (.f32 (.f32 u u) (.f32 (fma.f32 64/3 u 8) s)))) (-.f32 (.f32 u (.f32 4 s)) (.f32 (.f32 u u) (.f32 (fma.f32 64/3 u 8) s))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 64 (pow.f32 u 3) (pow.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8)) 3)) s) (fma.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8)) (-.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8)) (.f32 u 4)) (.f32 (.f32 u u) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (.f32 (.f32 u u) 16) (.f32 (pow.f32 u 4) (pow.f32 (fma.f32 64/3 u 8) 2))) s) (.f32 u (-.f32 4 (.f32 u (fma.f32 64/3 u 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 s (fma.f32 64 (pow.f32 u 3) (pow.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8)) 3))) (fma.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8)) (-.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8)) (.f32 u 4)) (.f32 (.f32 u u) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 s (-.f32 (.f32 (.f32 u u) 16) (.f32 (pow.f32 u 4) (pow.f32 (fma.f32 64/3 u 8) 2)))) (.f32 u (-.f32 4 (.f32 u (fma.f32 64/3 u 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 s (.f32 u (fma.f32 u (fma.f32 64/3 u 8) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 s (.f32 u (fma.f32 u (fma.f32 64/3 u 8) 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 s (.f32 u (fma.f32 u (fma.f32 64/3 u 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8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8))) (cbrt.f32 (.f32 (pow.f32 u 4) (pow.f32 (fma.f32 64/3 u 8) 2))) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (.f32 (pow.f32 u 4) (pow.f32 (fma.f32 64/3 u 8) 2))) (cbrt.f32 (.f32 (.f32 u u) (fma.f32 64/3 u 8))) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 u 4)) (.f32 (pow.f32 (cbrt.f32 u) 2) (.f32 64/3 u)) (fma.f32 u (.f32 u 8) (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 u 4)) (.f32 (pow.f32 (cbrt.f32 u) 2) (fma.f32 64/3 u 8)) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u) 2) (.f32 (cbrt.f32 u) (.f32 u (fma.f32 64/3 u 8))) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u) 2) (.f32 (cbrt.f32 u) 4) (.f32 (.f32 u u) (fma.f32 64/3 u 8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 (fma.f32 64/3 u 8) 2)) (.f32 (cbrt.f32 (fma.f32 64/3 u 8)) (.f32 u u)) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (.f32 (.f32 u u) 4096/9)) (.f32 (cbrt.f32 (.f32 64/3 u)) (.f32 u u)) (fma.f32 u (.f32 u 8) (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 u) 2) (.f32 (sqrt.f32 u) 2) (.f32 (.f32 u u) (fma.f32 64/3 u 8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (sqrt.f32 (fma.f32 64/3 u 8))) (.f32 u (sqrt.f32 (fma.f32 64/3 u 8))) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (.f32 (sqrt.f32 u) (.f32 u (fma.f32 64/3 u 8))) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (.f32 (sqrt.f32 u) 4) (.f32 (.f32 u u) (fma.f32 64/3 u 8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (fma.f32 64/3 u 8)) (.f32 (sqrt.f32 (fma.f32 64/3 u 8)) (.f32 u u)) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 64/3 u)) (.f32 (sqrt.f32 (.f32 64/3 u)) (.f32 u u)) (fma.f32 u (.f32 u 8) (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (fma.f32 64/3 u 8)) u (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (cbrt.f32 (.f32 64/3 (pow.f32 u 3))) (cbrt.f32 (.f32 64/3 (pow.f32 u 3)))) (cbrt.f32 (.f32 64/3 (pow.f32 u 3))) (fma.f32 u (.f32 u 8) (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 64/3 (pow.f32 u 3))) (sqrt.f32 (.f32 64/3 (pow.f32 u 3))) (fma.f32 u (.f32 u 8) (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (sqrt.f32 (.f32 64/3 u))) (.f32 u (sqrt.f32 (.f32 64/3 u))) (fma.f32 u (.f32 u 8) (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 (.f32 64/3 u)) u) (.f32 (sqrt.f32 (.f32 64/3 u)) u) (fma.f32 u (.f32 u 8) (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 64/3 u) u) u (fma.f32 u (.f32 u 8) (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u u) 64/3) u (fma.f32 u (.f32 u 8) (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u u) (cbrt.f32 (.f32 (.f32 u u) 4096/9))) (cbrt.f32 (.f32 64/3 u)) (fma.f32 u (.f32 u 8) (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u u) (sqrt.f32 (.f32 64/3 u))) (sqrt.f32 (.f32 64/3 u)) (fma.f32 u (.f32 u 8) (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u u) (cbrt.f32 (pow.f32 (fma.f32 64/3 u 8) 2))) (cbrt.f32 (fma.f32 64/3 u 8)) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u u) (sqrt.f32 (fma.f32 64/3 u 8))) (sqrt.f32 (fma.f32 64/3 u 8)) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (fma.f32 64/3 u 8) (cbrt.f32 (pow.f32 u 4))) (pow.f32 (cbrt.f32 u) 2) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 64/3 u) (cbrt.f32 (pow.f32 u 4))) (pow.f32 (cbrt.f32 u) 2) (fma.f32 u (.f32 u 8) (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 4 (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (.f32 (.f32 u u) (fma.f32 64/3 u 8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 4 (sqrt.f32 u)) (sqrt.f32 u) (.f32 (*.f32 u u) (fma.f32 64/3 u 8)))))))

simplify150.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-def_binary32`
662×	`*-commutative_binary32`
636×	`distribute-rgt-in_binary32`
599×	`distribute-lft-in_binary32`
416×	`distribute-lft-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	756
1	94	669
2	209	628
3	560	576
4	1775	576
5	3291	576
6	4142	576
7	4656	576
8	6542	576
9	6735	576
10	6991	576
11	7333	576
12	7785	576

Stop Event

1×	node limit

Counts

276 → 252

Calls

Call 1

Inputs
(*.f32 8 (pow.f32 u 2))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(*.f32 64/3 (pow.f32 u 3))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(*.f32 64/3 (pow.f32 u 3))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 s (+.f32 (.f32 4 u) (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2))))
(.f32 s (+.f32 (.f32 4 u) (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2))))
(.f32 s (+.f32 (.f32 4 u) (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2))))
(.f32 s (+.f32 (.f32 4 u) (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2))))
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 4 (.f32 s u))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(.f32 64/3 (.f32 s (pow.f32 u 3)))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(.f32 64/3 (.f32 s (pow.f32 u 3)))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(*.f32 4 u)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(*.f32 64/3 (pow.f32 u 3))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 4 u) (*.f32 64/3 (pow.f32 u 3))))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 4 u) (*.f32 64/3 (pow.f32 u 3))))
(*.f32 64/3 (pow.f32 u 3))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 4 u) (*.f32 64/3 (pow.f32 u 3))))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 4 u) (*.f32 64/3 (pow.f32 u 3))))

Outputs
(*.f32 8 (pow.f32 u 2))
(.f32 8 (.f32 u u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(fma.f32 8 (.f32 u u) (.f32 64/3 (pow.f32 u 3)))
(.f32 u (.f32 u (fma.f32 u 64/3 8)))
(.f32 (.f32 u u) (fma.f32 u 64/3 8))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(fma.f32 8 (.f32 u u) (.f32 64/3 (pow.f32 u 3)))
(.f32 u (.f32 u (fma.f32 u 64/3 8)))
(.f32 (.f32 u u) (fma.f32 u 64/3 8))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(fma.f32 8 (.f32 u u) (.f32 64/3 (pow.f32 u 3)))
(.f32 u (.f32 u (fma.f32 u 64/3 8)))
(.f32 (.f32 u u) (fma.f32 u 64/3 8))
(*.f32 64/3 (pow.f32 u 3))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(fma.f32 8 (.f32 u u) (.f32 64/3 (pow.f32 u 3)))
(.f32 u (.f32 u (fma.f32 u 64/3 8)))
(.f32 (.f32 u u) (fma.f32 u 64/3 8))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(fma.f32 8 (.f32 u u) (.f32 64/3 (pow.f32 u 3)))
(.f32 u (.f32 u (fma.f32 u 64/3 8)))
(.f32 (.f32 u u) (fma.f32 u 64/3 8))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(fma.f32 8 (.f32 u u) (.f32 64/3 (pow.f32 u 3)))
(.f32 u (.f32 u (fma.f32 u 64/3 8)))
(.f32 (.f32 u u) (fma.f32 u 64/3 8))
(*.f32 64/3 (pow.f32 u 3))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(fma.f32 8 (.f32 u u) (.f32 64/3 (pow.f32 u 3)))
(.f32 u (.f32 u (fma.f32 u 64/3 8)))
(.f32 (.f32 u u) (fma.f32 u 64/3 8))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(fma.f32 8 (.f32 u u) (.f32 64/3 (pow.f32 u 3)))
(.f32 u (.f32 u (fma.f32 u 64/3 8)))
(.f32 (.f32 u u) (fma.f32 u 64/3 8))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(fma.f32 8 (.f32 u u) (.f32 64/3 (pow.f32 u 3)))
(.f32 u (.f32 u (fma.f32 u 64/3 8)))
(.f32 (.f32 u u) (fma.f32 u 64/3 8))
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(.f32 s (+.f32 (.f32 4 u) (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2))))
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(.f32 s (+.f32 (.f32 4 u) (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2))))
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(.f32 s (+.f32 (.f32 4 u) (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2))))
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(.f32 s (+.f32 (.f32 4 u) (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2))))
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) (pow.f32 u 2)) (.f32 4 u)) s)
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 u s))
(.f32 u (.f32 4 s))
(.f32 (.f32 u 4) s)
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 (.f32 u u) s)))
(fma.f32 (.f32 4 s) u (.f32 (.f32 8 (.f32 u u)) s))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 u (.f32 (fma.f32 8 u 4) s))
(.f32 u (.f32 s (fma.f32 8 u 4)))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(.f32 64/3 (.f32 s (pow.f32 u 3)))
(.f32 (.f32 64/3 s) (pow.f32 u 3))
(.f32 (pow.f32 u 3) (.f32 64/3 s))
(.f32 64/3 (.f32 (pow.f32 u 3) s))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 8 (.f32 s (pow.f32 u 2))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (.f32 8 (.f32 (.f32 u u) s)))
(fma.f32 (.f32 64/3 s) (pow.f32 u 3) (.f32 (.f32 8 (.f32 u u)) s))
(.f32 u (.f32 u (*.f32 (fma.f32 u 64/3 8) s)))
(.f32 (.f32 u u) (*.f32 (fma.f32 u 64/3 8) s))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(.f32 64/3 (.f32 s (pow.f32 u 3)))
(.f32 (.f32 64/3 s) (pow.f32 u 3))
(.f32 (pow.f32 u 3) (.f32 64/3 s))
(.f32 64/3 (.f32 (pow.f32 u 3) s))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 8 (.f32 s (pow.f32 u 2))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (.f32 8 (.f32 (.f32 u u) s)))
(fma.f32 (.f32 64/3 s) (pow.f32 u 3) (.f32 (.f32 8 (.f32 u u)) s))
(.f32 u (.f32 u (*.f32 (fma.f32 u 64/3 8) s)))
(.f32 (.f32 u u) (*.f32 (fma.f32 u 64/3 8) s))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(.f32 (fma.f32 (+.f32 8 (.f32 u 64/3)) (.f32 u u) (.f32 u 4)) s)
(.f32 (fma.f32 u 4 (.f32 u (*.f32 u (fma.f32 u 64/3 8)))) s)
(.f32 (.f32 u (+.f32 (*.f32 u (fma.f32 u 64/3 8)) 4)) s)
(.f32 u (.f32 (fma.f32 u (fma.f32 u 64/3 8) 4) s))
(.f32 u (.f32 s (fma.f32 u (fma.f32 u 64/3 8) 4)))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(*.f32 4 u)
(*.f32 u 4)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 8 u) 4))
(*.f32 u (fma.f32 8 u 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(fma.f32 8 (.f32 u u) (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)))
(fma.f32 u 4 (.f32 u (.f32 u (fma.f32 u 64/3 8))))
(.f32 u (+.f32 (.f32 u (fma.f32 u 64/3 8)) 4))
(*.f32 u (fma.f32 u (fma.f32 u 64/3 8) 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(fma.f32 8 (.f32 u u) (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)))
(fma.f32 u 4 (.f32 u (.f32 u (fma.f32 u 64/3 8))))
(.f32 u (+.f32 (.f32 u (fma.f32 u 64/3 8)) 4))
(*.f32 u (fma.f32 u (fma.f32 u 64/3 8) 4))
(*.f32 64/3 (pow.f32 u 3))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(fma.f32 8 (.f32 u u) (.f32 64/3 (pow.f32 u 3)))
(.f32 u (.f32 u (fma.f32 u 64/3 8)))
(.f32 (.f32 u u) (fma.f32 u 64/3 8))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 4 u) (*.f32 64/3 (pow.f32 u 3))))
(fma.f32 8 (.f32 u u) (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)))
(fma.f32 u 4 (.f32 u (.f32 u (fma.f32 u 64/3 8))))
(.f32 u (+.f32 (.f32 u (fma.f32 u 64/3 8)) 4))
(*.f32 u (fma.f32 u (fma.f32 u 64/3 8) 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 4 u) (*.f32 64/3 (pow.f32 u 3))))
(fma.f32 8 (.f32 u u) (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)))
(fma.f32 u 4 (.f32 u (.f32 u (fma.f32 u 64/3 8))))
(.f32 u (+.f32 (.f32 u (fma.f32 u 64/3 8)) 4))
(*.f32 u (fma.f32 u (fma.f32 u 64/3 8) 4))
(*.f32 64/3 (pow.f32 u 3))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 64/3 (pow.f32 u 3)))
(fma.f32 8 (.f32 u u) (.f32 64/3 (pow.f32 u 3)))
(.f32 u (.f32 u (fma.f32 u 64/3 8)))
(.f32 (.f32 u u) (fma.f32 u 64/3 8))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 4 u) (*.f32 64/3 (pow.f32 u 3))))
(fma.f32 8 (.f32 u u) (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)))
(fma.f32 u 4 (.f32 u (.f32 u (fma.f32 u 64/3 8))))
(.f32 u (+.f32 (.f32 u (fma.f32 u 64/3 8)) 4))
(*.f32 u (fma.f32 u (fma.f32 u 64/3 8) 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 4 u) (*.f32 64/3 (pow.f32 u 3))))
(fma.f32 8 (.f32 u u) (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)))
(fma.f32 u 4 (.f32 u (.f32 u (fma.f32 u 64/3 8))))
(.f32 u (+.f32 (.f32 u (fma.f32 u 64/3 8)) 4))
(*.f32 u (fma.f32 u (fma.f32 u 64/3 8) 4))

localize78.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 s (pow.f32 u 3))
✓	0.2b	(.f32 8 (.f32 s (pow.f32 u 2)))
✓	0.2b	(*.f32 s (pow.f32 u 2))
✓	0.7b	(.f32 64/3 (.f32 s (pow.f32 u 3)))

Compiler

Compiled 81 to 52 computations (35.8% saved)

series13.0ms (0.1%)

Counts

4 → 0

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	u	@	inf	(*.f32 s (pow.f32 u 3))
1.0ms	s	@	0	(.f32 64/3 (.f32 s (pow.f32 u 3)))
1.0ms	u	@	0	(.f32 64/3 (.f32 s (pow.f32 u 3)))
1.0ms	s	@	inf	(.f32 64/3 (.f32 s (pow.f32 u 3)))
1.0ms	u	@	inf	(.f32 64/3 (.f32 s (pow.f32 u 3)))

rewrite72.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`log-prod_binary32`
426×	`exp-prod_binary32`
348×	`pow-prod-down_binary32`
295×	`pow2_binary32`
264×	`pow-unpow_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	272	34
2	2883	34

Stop Event

1×	node limit

Counts

4 → 101

Calls

Call 1

Inputs
(.f32 64/3 (.f32 s (pow.f32 u 3)))
(*.f32 s (pow.f32 u 2))
(.f32 8 (.f32 s (pow.f32 u 2)))
(*.f32 s (pow.f32 u 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (pow.f32 u 3) (.f32 64/3 s)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (pow.f32 u 3)) (.f32 64/3 s))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (pow.f32 u 3)) (.f32 64/3 s)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (pow.f32 u 3)) (.f32 64/3 s)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (pow.f32 u 3)) (.f32 64/3 s)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 u 3) (.f32 64/3 s)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 u 3) (.f32 64/3 s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 4096/9 (pow.f32 (.f32 u (cbrt.f32 s)) 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (cbrt.f32 (.f32 64/3 s)) u) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (cbrt.f32 (.f32 64/3 s)) u) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (.f32 64/3 s)) (pow.f32 u 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (.f32 (pow.f32 u 3) (.f32 64/3 s))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (pow.f32 u 3) (.f32 64/3 s)))) 2)) (cbrt.f32 (log.f32 (.f32 (pow.f32 u 3) (.f32 64/3 s)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (pow.f32 u 3) (.f32 64/3 s))))) (sqrt.f32 (log.f32 (.f32 (pow.f32 u 3) (.f32 64/3 s)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 4096/9 (pow.f32 (.f32 u (cbrt.f32 s)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (pow.f32 u 3)) (.f32 64/3 s)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 u 3) (.f32 64/3 s)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (cbrt.f32 (.f32 64/3 s)) u) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (pow.f32 u 3) (.f32 64/3 s))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (pow.f32 u 3) (.f32 64/3 s))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (pow.f32 u 3) (.f32 64/3 s))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (pow.f32 u 3) (.f32 64/3 s))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (cbrt.f32 (.f32 64/3 s)) u) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (.f32 64/3 s)) u)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (.f32 64/3 s)) (pow.f32 u 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 (pow.f32 u 3) (*.f32 64/3 s))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u (.f32 u s)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u) u) s)) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u) u) s))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u) u) s))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u) u) s))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u (.f32 u s)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (.f32 u s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u (sqrt.f32 s)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u (sqrt.f32 s)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u (.f32 u s))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (sqrt.f32 s)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (.f32 u (.f32 u s))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 u (.f32 u s)))) 2)) (cbrt.f32 (log.f32 (.f32 u (.f32 u s)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 u (.f32 u s))))) (sqrt.f32 (log.f32 (.f32 u (.f32 u s)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u (sqrt.f32 s)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u) u) s))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u (.f32 u s)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u (sqrt.f32 s)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u (.f32 u s))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u (.f32 u s))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u (.f32 u s))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u (.f32 u s))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (.f32 u (sqrt.f32 s)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 u (.f32 u s)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u (sqrt.f32 s))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 u (*.f32 u s))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (.f32 u (.f32 u s)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 u) u) s) 8)) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 u) u) s) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 u) u) s) 8))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 u) u) s) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (.f32 u (.f32 u s)) 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 u (.f32 u s)) 8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 s 8)) u) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 s 8)) u) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 2 (cbrt.f32 (.f32 u (.f32 u s)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (.f32 s 8)) u) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (.f32 (.f32 u (.f32 u s)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (.f32 u (.f32 u s)) 8))) 2)) (cbrt.f32 (log.f32 (.f32 (.f32 u (.f32 u s)) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (.f32 u (.f32 u s)) 8)))) (sqrt.f32 (log.f32 (.f32 (.f32 u (.f32 u s)) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 s 8)) u) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 u) u) s) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 u (.f32 u s)) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 s 8)) u) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (.f32 u (.f32 u s)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (.f32 u (.f32 u s)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (.f32 u (.f32 u s)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (.f32 u (.f32 u s)) 8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 s 8)) u) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 2 (cbrt.f32 (.f32 u (.f32 u s))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (.f32 s 8)) u)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 (.f32 u (.f32 u s)) 8)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 s (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (pow.f32 u 3)) s)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (pow.f32 u 3)) s))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (pow.f32 u 3)) s))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (pow.f32 u 3)) s))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 s (pow.f32 u 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 s (pow.f32 u 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u (cbrt.f32 s)) 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u (cbrt.f32 s)) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (cbrt.f32 s)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 s) (pow.f32 u 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (.f32 s (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 u 3) (pow.f32 (.f32 u (sqrt.f32 s)) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (cbrt.f32 u) (cbrt.f32 (.f32 u (.f32 u s)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 u) (.f32 u (sqrt.f32 s))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (cbrt.f32 (.f32 u (.f32 u s))) (cbrt.f32 u)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 u (sqrt.f32 s)) (sqrt.f32 u)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 s (pow.f32 u 3)))) 2)) (cbrt.f32 (log.f32 (.f32 s (pow.f32 u 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 s (pow.f32 u 3))))) (sqrt.f32 (log.f32 (.f32 s (pow.f32 u 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u (cbrt.f32 s)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (pow.f32 u 3)) s))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 s (pow.f32 u 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u (cbrt.f32 s)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 s (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 s (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 s (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 s (pow.f32 u 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (.f32 u (cbrt.f32 s)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u (cbrt.f32 s))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 s) (pow.f32 u 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (*.f32 s (pow.f32 u 3))) 1) 1))))))

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

101 → 101

Calls

Call 1

Inputs

Outputs

localize51.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f32 (*.f32 u -4))
✓	0.2b	(.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)
✓	0.6b	(pow.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 3)
✓	1.2b	(cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))

Compiler

Compiled 43 to 32 computations (25.6% saved)

series32.0ms (0.3%)

Counts

3 → 40

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	u	@	-inf	(pow.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 3)
6.0ms	u	@	inf	(pow.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 3)
3.0ms	u	@	0	(pow.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 3)
3.0ms	u	@	inf	(cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))
3.0ms	u	@	-inf	(cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`pow1_binary32`
765×	`add-log-exp_binary32`
764×	`expm1-log1p-u_binary32`
763×	`log1p-expm1-u_binary32`
748×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	231	29
2	2460	29

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))
(pow.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 3)
(.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))) (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))) 2) (cbrt.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) (cbrt.f32 s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 s) (cbrt.f32 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s) 1/6) (pow.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 2) 1/3) (cbrt.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/3) (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 1/3) (pow.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (log1p.f32 (*.f32 u -4)) s))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 u -4)) s)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 s (log1p.f32 (*.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) (pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (log1p.f32 (*.f32 u -4)) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 2) (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2) (*.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))) (pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) (*.f32 (cbrt.f32 s) (pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 s) 2) (*.f32 (cbrt.f32 s) (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 u -4))) (*.f32 (sqrt.f32 (log1p.f32 (*.f32 u -4))) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s) 1/6) (*.f32 (pow.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s) 1/6) (pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (*.f32 (log1p.f32 (*.f32 u -4)) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))) 2) 3) (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s) 1/6) 3) (pow.f32 (pow.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (pow.f32 (cbrt.f32 s) 2)) (cbrt.f32 s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (sqrt.f32 s)) (sqrt.f32 s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 s (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2)) (cbrt.f32 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 s (sqrt.f32 (log1p.f32 (*.f32 u -4)))) (sqrt.f32 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 s -1) (log1p.f32 (*.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 2) 1) (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))) 2)) (cbrt.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 2) (cbrt.f32 (log1p.f32 (*.f32 u -4)))) (cbrt.f32 s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 2) (pow.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s) 1/6)) (pow.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (+.f32 (*.f32 u -4) 1) s))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 s 3) (pow.f32 (log1p.f32 (*.f32 u -4)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 3) (pow.f32 s 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)))))))

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

simplify174.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

796×	`associate-/l*_binary32`
580×	`distribute-rgt-in_binary32`
575×	`distribute-lft-in_binary32`
336×	`fma-def_binary32`
269×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	5089
1	1042	4489
2	3956	4416

Stop Event

1×	node limit

Counts

115 → 120

Calls

Call 1

Inputs
(.f32 (pow.f32 (.f32 s (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) 1/3) (cbrt.f32 -1))
(+.f32 (.f32 -1/12 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 7) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2)) 1/9) (/.f32 (cbrt.f32 -1) u))) (.f32 (pow.f32 (.f32 s (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) 1/3) (cbrt.f32 -1)))
(+.f32 (.f32 -1/12 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 7) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2)) 1/9) (/.f32 (cbrt.f32 -1) u))) (+.f32 (.f32 (pow.f32 (.f32 s (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) 1/3) (cbrt.f32 -1)) (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (.f32 (pow.f32 s 2) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2))) 1/3) (/.f32 (.f32 (-.f32 (.f32 -1/32 s) (.f32 1/48 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))) (cbrt.f32 -1)) (pow.f32 u 2))))))
(+.f32 (.f32 -1/12 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 7) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2)) 1/9) (/.f32 (cbrt.f32 -1) u))) (+.f32 (.f32 (pow.f32 (.f32 s (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) 1/3) (cbrt.f32 -1)) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (.f32 (pow.f32 s 2) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2))) 1/3) (/.f32 (.f32 (cbrt.f32 -1) (-.f32 (.f32 -1/192 s) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 4) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 5)) 1/9) (-.f32 (.f32 -1/32 s) (.f32 1/48 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))))) (.f32 -1/1728 (pow.f32 (/.f32 (.f32 (pow.f32 s 7) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2)) 1/3))))) (pow.f32 u 3)))) (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (.f32 (pow.f32 s 2) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2))) 1/3) (/.f32 (.f32 (-.f32 (.f32 -1/32 s) (.f32 1/48 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))) (cbrt.f32 -1)) (pow.f32 u 2)))))))
(.f32 (pow.f32 (.f32 s (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) 1/3) (cbrt.f32 -1))
(+.f32 (.f32 -1/12 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 7) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/9) (/.f32 (cbrt.f32 -1) u))) (.f32 (pow.f32 (.f32 s (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) 1/3) (cbrt.f32 -1)))
(+.f32 (.f32 -1/12 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 7) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/9) (/.f32 (cbrt.f32 -1) u))) (+.f32 (.f32 (pow.f32 (.f32 s (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) 1/3) (cbrt.f32 -1)) (.f32 1/3 (.f32 (/.f32 (.f32 (-.f32 (.f32 -1/32 s) (.f32 1/48 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (cbrt.f32 -1)) (pow.f32 u 2)) (pow.f32 (/.f32 1 (.f32 (pow.f32 s 2) (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2))) 1/3)))))
(+.f32 (.f32 -1/12 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 7) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/9) (/.f32 (cbrt.f32 -1) u))) (+.f32 (.f32 (pow.f32 (.f32 s (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) 1/3) (cbrt.f32 -1)) (+.f32 (.f32 1/3 (.f32 (/.f32 (.f32 (-.f32 (.f32 -1/32 s) (.f32 1/48 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (cbrt.f32 -1)) (pow.f32 u 2)) (pow.f32 (/.f32 1 (.f32 (pow.f32 s 2) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2))) 1/3))) (.f32 -1/3 (.f32 (/.f32 (.f32 (-.f32 (.f32 1/192 s) (+.f32 (.f32 1/6 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 4) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5)) 1/9) (-.f32 (.f32 -1/32 s) (.f32 1/48 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))))) (.f32 1/1728 (pow.f32 (/.f32 (.f32 (pow.f32 s 7) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3)))) (cbrt.f32 -1)) (pow.f32 u 3)) (pow.f32 (/.f32 1 (.f32 (pow.f32 s 2) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2))) 1/3))))))
(.f32 -1 (.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) (pow.f32 1 1/3)))
(+.f32 (.f32 1/6 (.f32 (pow.f32 (.f32 (pow.f32 s 13) (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4))) 1/9) (/.f32 1 u))) (+.f32 (.f32 1/12 (.f32 (pow.f32 (.f32 (pow.f32 s 13) (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4))) 1/9) (/.f32 1 u))) (.f32 -1 (.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) (pow.f32 1 1/3)))))
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(.f32 -1 (.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) (pow.f32 1 1/3)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (pow.f32 s 13) (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4))) 1/9)) (.f32 -1/12 (pow.f32 (.f32 (pow.f32 s 13) (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4))) 1/9))) u)) (.f32 -1 (.f32 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) (pow.f32 1 1/3))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (pow.f32 s 13) (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4))) 1/9)) (.f32 -1/12 (pow.f32 (.f32 (pow.f32 s 13) (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4))) 1/9))) u)) (+.f32 (.f32 -1/72 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9) (/.f32 1 (pow.f32 u 2)))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (-.f32 (.f32 -1/32 s) (.f32 1/48 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 u 2)) (pow.f32 1 1/3))) (+.f32 (.f32 (pow.f32 (.f32 s (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) 1/3) (/.f32 (.f32 (cbrt.f32 -1) (+.f32 (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) 1/3) (.f32 (-.f32 (.f32 -1/32 s) (.f32 1/48 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 (cbrt.f32 -1) 2)))) (.f32 1/144 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 14) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4)) 1/9) (pow.f32 (cbrt.f32 -1) 2))))) (pow.f32 u 2))) (.f32 -1 (.f32 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) (pow.f32 1 1/3)))))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (pow.f32 s 13) (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4))) 1/9)) (.f32 -1/12 (pow.f32 (.f32 (pow.f32 s 13) (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4))) 1/9))) u)) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/3 (.f32 (-.f32 (.f32 1/192 s) (+.f32 (.f32 1/6 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 4) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5)) 1/9) (-.f32 (.f32 -1/32 s) (.f32 1/48 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))))) (.f32 1/1728 (pow.f32 (/.f32 (.f32 (pow.f32 s 7) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3)))) (pow.f32 1 1/3))) (+.f32 (.f32 -1/18 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 4) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5)) 1/9) (-.f32 (.f32 -1/32 s) (.f32 1/48 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))))) (+.f32 (.f32 (pow.f32 (.f32 s (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) 1/3) (.f32 (+.f32 (.f32 1/18 (.f32 (pow.f32 (/.f32 (.f32 s 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 8)) 1/9) (.f32 (-.f32 (.f32 -1/32 s) (.f32 1/48 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 (cbrt.f32 -1) 2)))) (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) 1/3) (.f32 (-.f32 (.f32 1/192 s) (+.f32 (.f32 1/6 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 4) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5)) 1/9) (-.f32 (.f32 -1/32 s) (.f32 1/48 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))))) (.f32 1/1728 (pow.f32 (/.f32 (.f32 (pow.f32 s 7) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3)))) (pow.f32 (cbrt.f32 -1) 2))))) (cbrt.f32 -1))) (.f32 1/12 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 7) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/9) (.f32 (cbrt.f32 -1) (+.f32 (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) 1/3) (.f32 (-.f32 (.f32 -1/32 s) (.f32 1/48 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 (cbrt.f32 -1) 2)))) (.f32 1/144 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 14) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4)) 1/9) (pow.f32 (cbrt.f32 -1) 2)))))))))) (pow.f32 u 3))) (+.f32 (.f32 -1/72 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9) (/.f32 1 (pow.f32 u 2)))) (+.f32 (.f32 (pow.f32 (.f32 s (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) 1/3) (/.f32 (.f32 (cbrt.f32 -1) (+.f32 (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) 1/3) (.f32 (-.f32 (.f32 -1/32 s) (.f32 1/48 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 (cbrt.f32 -1) 2)))) (.f32 1/144 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 14) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4)) 1/9) (pow.f32 (cbrt.f32 -1) 2))))) (pow.f32 u 2))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (-.f32 (.f32 -1/32 s) (.f32 1/48 (pow.f32 (/.f32 (.f32 (pow.f32 s 17) 1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 u 2)) (pow.f32 1 1/3))) (.f32 -1 (.f32 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) (pow.f32 1 1/3))))))))
(.f32 4 (.f32 s u))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))

Outputs
(.f32 (pow.f32 (.f32 s (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) 1/3) (cbrt.f32 -1))
(.f32 (cbrt.f32 (.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (cbrt.f32 -1))
(.f32 (cbrt.f32 (.f32 s (+.f32 (log.f32 u) (log.f32 -4)))) (cbrt.f32 -1))
(+.f32 (.f32 -1/12 (.f32 (pow.f32 (/.f32 (.f32 (pow.f32 s 7) 1) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2)) 1/9) (/.f32 (cbrt.f32 -1) u))) (.f32 (pow.f32 (.f32 s (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) 1/3) (cbrt.f32 -1)))
(fma.f32 -1/12 (.f32 (.f32 (pow.f32 (/.f32 (pow.f32 s 7) (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2)) 1/18) (pow.f32 (/.f32 (pow.f32 s 7) (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2)) 1/18)) (/.f32 (cbrt.f32 -1) u)) (.f32 (cbrt.f32 (.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (cbrt.f32 -1)))
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(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 s u) (.f32 s (+.f32 (.f32 8 (.f32 u u)) (.f32 64 (pow.f32 u 4))))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(neg.f32 (*.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))))
(*.f32 (+.f32 (log.f32 u) (log.f32 -4)) (neg.f32 s))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))
(fma.f32 -1 (.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (/.f32 (.f32 1/4 s) u))
(-.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (log.f32 u) (log.f32 -4))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 -1 (.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (/.f32 (*.f32 1/4 s) u)))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (-.f32 (.f32 1/4 (/.f32 s u)) (*.f32 s (+.f32 (log.f32 u) (log.f32 -4)))))
(-.f32 (.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4)) (.f32 s (+.f32 (log.f32 u) (log.f32 -4))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 -1 (.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (/.f32 (*.f32 1/4 s) u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (-.f32 (.f32 1/4 (/.f32 s u)) (*.f32 s (+.f32 (log.f32 u) (log.f32 -4))))))
(+.f32 (-.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (log.f32 u) (log.f32 -4)))) (.f32 (/.f32 s (.f32 u u)) (+.f32 1/32 (/.f32 1/192 u))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(neg.f32 (*.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))))
(*.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (neg.f32 s))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/4 (/.f32 s u)))
(fma.f32 -1 (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (/.f32 (.f32 1/4 s) u))
(fma.f32 (neg.f32 s) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (*.f32 1/4 (/.f32 s u)))
(-.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 -1 (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (/.f32 (*.f32 1/4 s) u)))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 (neg.f32 s) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (.f32 1/4 (/.f32 s u))))
(-.f32 (.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4)) (.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 -1 (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (/.f32 (*.f32 1/4 s) u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 (neg.f32 s) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (.f32 1/4 (/.f32 s u)))))
(+.f32 (fma.f32 (neg.f32 s) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 (.f32 s 1/192) (pow.f32 u 3))) (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))

eval772.0ms (8%)

Compiler: Compiled 18072 to 13372 computations (26% saved)

prune175.0ms (1.8%)

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	701	15	716
Fresh	5	6	11
Picked	0	1	1
Done	1	5	6
Total	707	27	734

Error

0.0b

Counts

734 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	3.1b	(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
	2.9b	(exp.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))
▶	4.7b	(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u 8/3)))))
	3.2b	(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
	9.0b	(.f32 s (.f32 3 (*.f32 4/3 u)))
	3.3b	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (.f32 u (+.f32 -4 (.f32 u (+.f32 -8 (.f32 u -64/3)))))))))
	2.4b	(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
	3.2b	(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 0 (.f32 (.f32 u (*.f32 u s)) 8))))
	24.5b	(-.f32 (+.f32 1 (.f32 4 (.f32 u s))) 1)
✓	11.6b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
▶	9.0b	(.f32 (.f32 u 4) s)
	4.6b	(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
▶	0.5b	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
	2.4b	(.f32 s (.f32 3 (+.f32 (.f32 8/3 (pow.f32 u 2)) (+.f32 (.f32 4/3 u) (+.f32 (.f32 64/3 (pow.f32 u 4)) (.f32 64/9 (pow.f32 u 3)))))))
▶	10.9b	(.f32 s (neg.f32 (log.f32 (+.f32 (.f32 u -4) 1))))
✓	0.7b	(pow.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 3)
	9.2b	(.f32 4 (pow.f32 (cbrt.f32 (.f32 u s)) 3))
	4.7b	(.f32 u (.f32 s (+.f32 4 (*.f32 u 8))))
	4.7b	(.f32 (.f32 u (+.f32 4 (*.f32 u 8))) s)
	3.2b	(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (*.f32 u 64/9)))))))
✓	9.0b	(.f32 4 (.f32 u s))
▶	3.9b	(.f32 s (+.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u))))) (log1p.f32 (.f32 4 u))))
✓	0.4b	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))))
✓	0.2b	(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
	3.0b	(+.f32 (.f32 (.f32 u u) (.f32 (fma.f32 64/3 u 8) s)) (.f32 u (*.f32 4 s)))
	3.1b	(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
	1.3b	(.f32 s (exp.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))

Compiler

Compiled 700 to 535 computations (23.6% saved)

localize52.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f32 (*.f32 u -4))
	0.2b	(.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)
✓	0.4b	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
✓	1.2b	(sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))

Compiler

Compiled 43 to 32 computations (25.6% saved)

series39.0ms (0.4%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	s	@	0	(sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))
4.0ms	u	@	inf	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
2.0ms	s	@	0	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
2.0ms	u	@	0	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
2.0ms	u	@	-inf	(sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))

rewrite84.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`pow1_binary32`
733×	`add-log-exp_binary32`
732×	`expm1-log1p-u_binary32`
731×	`log1p-expm1-u_binary32`
717×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	228	20
2	2384	20

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))
(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)

Outputs

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

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

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-def_binary32`
561×	`div-sub_binary32`
531×	`times-frac_binary32`
412×	`associate-/l*_binary32`
404×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1582
1	422	1299
2	1560	1141
3	7658	1135

Stop Event

1×	node limit

Counts

73 → 89

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (sqrt.f32 -1))
(+.f32 (.f32 (sqrt.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (sqrt.f32 -1)) (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (/.f32 (sqrt.f32 -1) u))))
(+.f32 (.f32 (sqrt.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (sqrt.f32 -1)) (+.f32 (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (/.f32 (sqrt.f32 -1) u))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 -1/8 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) 2))) (pow.f32 u 2))))))
(+.f32 (.f32 (sqrt.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (sqrt.f32 -1)) (+.f32 (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (/.f32 (sqrt.f32 -1) u))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (.f32 -1/192 s) (.f32 -1/8 (/.f32 (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 -1/8 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))))) (pow.f32 u 3)))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 -1/8 (sqrt.f32 (/.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) 2))) (pow.f32 u 2)))))))
(.f32 (sqrt.f32 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (sqrt.f32 -1))
(+.f32 (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (/.f32 (sqrt.f32 -1) u))) (.f32 (sqrt.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (sqrt.f32 -1)))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 1/8 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) 2)) (sqrt.f32 -1)) (pow.f32 u 2)) (sqrt.f32 (/.f32 1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))))) (+.f32 (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (/.f32 (sqrt.f32 -1) u))) (.f32 (sqrt.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (sqrt.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 1/8 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) 2)) (sqrt.f32 -1)) (pow.f32 u 2)) (sqrt.f32 (/.f32 1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))))) (+.f32 (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (/.f32 (sqrt.f32 -1) u))) (+.f32 (.f32 (sqrt.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (sqrt.f32 -1)) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (.f32 1/192 s) (.f32 1/8 (/.f32 (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 1/8 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))))) (pow.f32 u 3)))))))
(.f32 s (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (.f32 s (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 -1/4 (/.f32 (*.f32 s (pow.f32 (sqrt.f32 -1) 2)) u)))
(+.f32 (.f32 1/64 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 2)))) (+.f32 (.f32 s (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (+.f32 (.f32 -1/4 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) u)) (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 -1/8 (sqrt.f32 (/.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) 2))) (pow.f32 u 2)))))
(+.f32 (.f32 -1/8 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 -1/8 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) 2))) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 3)))) (+.f32 (.f32 1/64 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 2)))) (+.f32 (.f32 s (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (+.f32 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 (.f32 -1/192 s) (.f32 -1/8 (/.f32 (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 -1/8 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))))) (pow.f32 u 3)) (+.f32 (.f32 -1/4 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) u)) (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 -1/8 (sqrt.f32 (/.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) 2))) (pow.f32 u 2)))))))
(.f32 s (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(+.f32 (.f32 -1/4 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) u)) (.f32 s (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))))
(+.f32 (/.f32 (.f32 (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 1/8 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) 2)) (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 u 2)) (+.f32 (.f32 -1/4 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) u)) (+.f32 (.f32 1/64 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (pow.f32 u 2)))) (.f32 s (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))))))
(+.f32 (/.f32 (.f32 (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 1/8 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) 2)) (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 u 2)) (+.f32 (.f32 -1/4 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) u)) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/8 (/.f32 (.f32 (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 1/8 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) 2)) (pow.f32 (sqrt.f32 -1) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 (.f32 1/192 s) (.f32 1/8 (/.f32 (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 1/8 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))))) (pow.f32 u 3))) (+.f32 (.f32 1/64 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (pow.f32 u 2)))) (.f32 s (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))))))

Outputs
(.f32 (sqrt.f32 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (sqrt.f32 -1))
(.f32 (sqrt.f32 (.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (sqrt.f32 -1))
(.f32 (sqrt.f32 (.f32 s (+.f32 (log.f32 u) (log.f32 -4)))) (sqrt.f32 -1))
(+.f32 (.f32 (sqrt.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (sqrt.f32 -1)) (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (/.f32 (sqrt.f32 -1) u))))
(fma.f32 (sqrt.f32 (.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (sqrt.f32 -1) (.f32 -1/8 (*.f32 (sqrt.f32 (/.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (/.f32 (sqrt.f32 -1) u))))
(fma.f32 -1/8 (.f32 (sqrt.f32 (/.f32 s (+.f32 (log.f32 u) (log.f32 -4)))) (/.f32 (sqrt.f32 -1) u)) (.f32 (sqrt.f32 (*.f32 s (+.f32 (log.f32 u) (log.f32 -4)))) (sqrt.f32 -1)))
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(fma.f32 -1/8 (/.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (pow.f32 u 3)) (-.f32 (.f32 s -1/32) (pow.f32 (.f32 -1/8 (sqrt.f32 (/.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))))) 2)))) (fma.f32 1/64 (.f32 (/.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (/.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 u u))) (fma.f32 s (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (pow.f32 (sqrt.f32 -1) 2)) (+.f32 (fma.f32 -1/4 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) u) (/.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (.f32 u u) (-.f32 (.f32 s -1/32) (pow.f32 (.f32 -1/8 (sqrt.f32 (/.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))))) 2))))) (/.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (pow.f32 u 3) (+.f32 (.f32 s -1/192) (.f32 1/8 (/.f32 (-.f32 (.f32 s -1/32) (pow.f32 (.f32 -1/8 (sqrt.f32 (/.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))))) 2)) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))))))))))
(+.f32 (/.f32 (.f32 -1/64 s) (.f32 u (.f32 u (+.f32 (log.f32 u) (log.f32 -4))))) (+.f32 (+.f32 (+.f32 (fma.f32 (.f32 s -1) (+.f32 (log.f32 u) (log.f32 -4)) (/.f32 (.f32 1/4 s) u)) (.f32 (/.f32 -1 (.f32 u u)) (-.f32 (.f32 s -1/32) (pow.f32 (.f32 -1/8 (sqrt.f32 (/.f32 s (+.f32 (log.f32 u) (log.f32 -4))))) 2)))) (.f32 (/.f32 -1 (pow.f32 u 3)) (fma.f32 s -1/192 (.f32 (/.f32 (-.f32 (.f32 s -1/32) (pow.f32 (.f32 -1/8 (sqrt.f32 (/.f32 s (+.f32 (log.f32 u) (log.f32 -4))))) 2)) (+.f32 (log.f32 u) (log.f32 -4))) 1/8)))) (/.f32 1/8 (/.f32 (pow.f32 u 3) (/.f32 (-.f32 (.f32 s -1/32) (pow.f32 (*.f32 -1/8 (sqrt.f32 (/.f32 s (+.f32 (log.f32 u) (log.f32 -4))))) 2)) (+.f32 (log.f32 u) (log.f32 -4)))))))
(fma.f32 (/.f32 1/8 (+.f32 (log.f32 u) (log.f32 -4))) (/.f32 (fma.f32 s -1/32 (/.f32 (.f32 s -1/64) (+.f32 (log.f32 u) (log.f32 -4)))) (pow.f32 u 3)) (+.f32 (.f32 (/.f32 -1 (.f32 u u)) (+.f32 (fma.f32 s -1/32 (/.f32 (.f32 s -1/64) (+.f32 (log.f32 u) (log.f32 -4)))) (/.f32 (fma.f32 s -1/192 (/.f32 1/8 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (fma.f32 s -1/32 (/.f32 (.f32 s -1/64) (+.f32 (log.f32 u) (log.f32 -4))))))) u))) (fma.f32 (/.f32 s (+.f32 (log.f32 u) (log.f32 -4))) (/.f32 -1/64 (.f32 u u)) (fma.f32 s (-.f32 (neg.f32 (log.f32 -4)) (log.f32 u)) (/.f32 (*.f32 s 1/4) u)))))
(fma.f32 (/.f32 1/8 (+.f32 (log.f32 u) (log.f32 -4))) (/.f32 (fma.f32 s -1/32 (/.f32 (.f32 s -1/64) (+.f32 (log.f32 u) (log.f32 -4)))) (pow.f32 u 3)) (+.f32 (.f32 (/.f32 -1 (.f32 u u)) (+.f32 (fma.f32 s -1/32 (/.f32 (.f32 s -1/64) (+.f32 (log.f32 u) (log.f32 -4)))) (/.f32 (fma.f32 s -1/192 (/.f32 1/8 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (fma.f32 s -1/32 (/.f32 (.f32 s -1/64) (+.f32 (log.f32 u) (log.f32 -4))))))) u))) (fma.f32 (/.f32 s (+.f32 (log.f32 u) (log.f32 -4))) (/.f32 -1/64 (.f32 u u)) (fma.f32 s (-.f32 (neg.f32 (log.f32 u)) (log.f32 -4)) (/.f32 (*.f32 s 1/4) u)))))
(.f32 s (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(.f32 s (.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (pow.f32 (sqrt.f32 -1) 2)))
(.f32 s (.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) -1))
(*.f32 s (fma.f32 (log.f32 4) -1 (log.f32 (/.f32 -1 u))))
(*.f32 s (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)))
(+.f32 (.f32 -1/4 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) u)) (.f32 s (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))))
(fma.f32 -1/4 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) u) (.f32 s (*.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (pow.f32 (sqrt.f32 -1) 2))))
(fma.f32 s (.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) -1) (/.f32 (.f32 1/4 s) u))
(fma.f32 s (fma.f32 (log.f32 4) -1 (log.f32 (/.f32 -1 u))) (/.f32 (*.f32 s 1/4) u))
(fma.f32 s (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) (/.f32 (*.f32 s 1/4) u))
(+.f32 (/.f32 (.f32 (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 1/8 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) 2)) (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 u 2)) (+.f32 (.f32 -1/4 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) u)) (+.f32 (.f32 1/64 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (pow.f32 u 2)))) (.f32 s (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))))))
(+.f32 (/.f32 (-.f32 (.f32 s -1/32) (pow.f32 (.f32 (sqrt.f32 (/.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)))) 1/8) 2)) (/.f32 (.f32 u u) (pow.f32 (sqrt.f32 -1) 2))) (fma.f32 -1/4 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) u) (fma.f32 1/64 (.f32 (/.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (/.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 u u))) (.f32 s (.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (pow.f32 (sqrt.f32 -1) 2))))))
(+.f32 (/.f32 (.f32 1/4 s) u) (+.f32 (fma.f32 s (.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) -1) (/.f32 (.f32 -1/64 s) (.f32 u (.f32 u (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))))) (.f32 (/.f32 -1 u) (/.f32 (-.f32 (.f32 s -1/32) (pow.f32 (.f32 (sqrt.f32 (/.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))) 1/8) 2)) u))))
(fma.f32 (/.f32 (fma.f32 s -1/32 (/.f32 (.f32 s -1/64) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))) (.f32 u u)) -1 (fma.f32 (/.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (/.f32 -1/64 (.f32 u u)) (fma.f32 s (fma.f32 (log.f32 4) -1 (log.f32 (/.f32 -1 u))) (/.f32 (.f32 s 1/4) u))))
(fma.f32 (/.f32 (fma.f32 s -1/32 (/.f32 (.f32 s -1/64) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))) (.f32 u u)) -1 (fma.f32 (/.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (/.f32 -1/64 (.f32 u u)) (fma.f32 s (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) (/.f32 (.f32 s 1/4) u))))
(+.f32 (/.f32 (.f32 (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 1/8 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) 2)) (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 u 2)) (+.f32 (.f32 -1/4 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) u)) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/8 (/.f32 (.f32 (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 1/8 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) 2)) (pow.f32 (sqrt.f32 -1) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 (.f32 1/192 s) (.f32 1/8 (/.f32 (-.f32 (.f32 -1/32 s) (pow.f32 (.f32 1/8 (sqrt.f32 (/.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))))) (pow.f32 u 3))) (+.f32 (.f32 1/64 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (pow.f32 u 2)))) (.f32 s (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))))))
(+.f32 (/.f32 (-.f32 (.f32 s -1/32) (pow.f32 (.f32 (sqrt.f32 (/.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)))) 1/8) 2)) (/.f32 (.f32 u u) (pow.f32 (sqrt.f32 -1) 2))) (fma.f32 -1/4 (/.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) u) (fma.f32 -1 (/.f32 (fma.f32 1/8 (/.f32 (-.f32 (.f32 s -1/32) (pow.f32 (.f32 (sqrt.f32 (/.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)))) 1/8) 2)) (/.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (pow.f32 (sqrt.f32 -1) 2))) (.f32 (-.f32 (.f32 s 1/192) (.f32 1/8 (/.f32 (-.f32 (.f32 s -1/32) (pow.f32 (.f32 (sqrt.f32 (/.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)))) 1/8) 2)) (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))))) (pow.f32 (sqrt.f32 -1) 2))) (pow.f32 u 3)) (fma.f32 1/64 (.f32 (/.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (/.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 u u))) (.f32 s (*.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (pow.f32 (sqrt.f32 -1) 2)))))))
(+.f32 (/.f32 (.f32 1/4 s) u) (+.f32 (-.f32 (fma.f32 s (.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) -1) (/.f32 (.f32 -1/64 s) (.f32 u (.f32 u (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))))) (/.f32 (fma.f32 (fma.f32 s 1/192 (.f32 -1/8 (/.f32 (-.f32 (.f32 s -1/32) (pow.f32 (.f32 (sqrt.f32 (/.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))) 1/8) 2)) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))) -1 (.f32 -1/8 (/.f32 (-.f32 (.f32 s -1/32) (pow.f32 (.f32 (sqrt.f32 (/.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))) 1/8) 2)) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))) (pow.f32 u 3))) (.f32 (/.f32 -1 u) (/.f32 (-.f32 (.f32 s -1/32) (pow.f32 (.f32 (sqrt.f32 (/.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))) 1/8) 2)) u))))
(+.f32 (fma.f32 (/.f32 (fma.f32 s -1/32 (/.f32 (.f32 s -1/64) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))) (.f32 u u)) -1 (fma.f32 (/.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (/.f32 -1/64 (.f32 u u)) (fma.f32 s (fma.f32 (log.f32 4) -1 (log.f32 (/.f32 -1 u))) (/.f32 (.f32 s 1/4) u)))) (/.f32 (+.f32 (fma.f32 -1/8 (/.f32 (fma.f32 s -1/32 (/.f32 (.f32 s -1/64) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (.f32 s 1/192)) (.f32 1/8 (/.f32 (fma.f32 s -1/32 (/.f32 (.f32 s -1/64) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))) (pow.f32 u 3)))
(+.f32 (fma.f32 s (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) (.f32 (/.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (/.f32 -1/64 (.f32 u u)))) (fma.f32 (/.f32 -1 u) (/.f32 (fma.f32 s -1/32 (/.f32 (.f32 s -1/64) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))) u) (fma.f32 (/.f32 s u) 1/4 (/.f32 (fma.f32 1/8 (/.f32 (fma.f32 s -1/32 (/.f32 (.f32 s -1/64) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (fma.f32 -1/8 (/.f32 (fma.f32 s -1/32 (/.f32 (.f32 s -1/64) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (.f32 s 1/192))) (pow.f32 u 3)))))

localize22.0ms (0.2%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 u (+.f32 4/3 (.f32 u 8/3)))
✓	0.3b	(+.f32 4/3 (*.f32 u 8/3))
✓	0.3b	(.f32 3 (.f32 u (+.f32 4/3 (*.f32 u 8/3))))
✓	0.4b	(*.f32 u 8/3)

Compiler

Compiled 42 to 31 computations (26.2% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u	@	inf	(.f32 3 (.f32 u (+.f32 4/3 (*.f32 u 8/3))))
1.0ms	u	@	-inf	(.f32 3 (.f32 u (+.f32 4/3 (*.f32 u 8/3))))
1.0ms	u	@	0	(*.f32 u 8/3)
0.0ms	u	@	0	(.f32 3 (.f32 u (+.f32 4/3 (*.f32 u 8/3))))
0.0ms	u	@	inf	(*.f32 u 8/3)

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

455×	`log-prod_binary32`
346×	`exp-prod_binary32`
316×	`prod-exp_binary32`
275×	`prod-diff_binary32`
272×	`pow-prod-down_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	200	28
2	2540	28

Stop Event

1×	node limit

Counts

4 → 179

Calls

Call 1

Inputs
(*.f32 u 8/3)
(.f32 3 (.f32 u (+.f32 4/3 (*.f32 u 8/3))))
(+.f32 4/3 (*.f32 u 8/3))
(.f32 u (+.f32 4/3 (.f32 u 8/3)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 8/3) u)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 8/3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 8/3) u))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 8/3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u 8/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u 8/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u 8/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 u 3) 512/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 u 8/3))) 2)) (cbrt.f32 (log.f32 (.f32 u 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 u 8/3)))) (sqrt.f32 (log.f32 (.f32 u 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u 8/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 8/3) u))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u 3) 512/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u 8/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 u 8/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 u 8/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (pow.f32 u 3) 512/27)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 u 8/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 u 8/3)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u 4/3) 3) (.f32 (.f32 u (.f32 u 8/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u 8/3) (.f32 u 3)) (.f32 4/3 (.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 4/3 (.f32 u 3)) (.f32 (.f32 u 8/3) (.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 3 (.f32 u 4/3)) (.f32 3 (.f32 u (.f32 u 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u 3) (.f32 u 8/3)) (.f32 (.f32 u 3) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u 3) 4/3) (.f32 (.f32 u 3) (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 u) (fma.f32 u 8/3 4/3)) 2)) (.f32 u (fma.f32 u 8/3 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 3) (.f32 u (fma.f32 u 8/3 4/3))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 3) (.f32 u (fma.f32 u 8/3 4/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u 3) (fma.f32 (pow.f32 u 3) 512/27 64/27)) (fma.f32 (.f32 u 8/3) (fma.f32 u 8/3 -4/3) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u 3) (-.f32 16/9 (pow.f32 (.f32 u 8/3) 2))) (-.f32 4/3 (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3)))) 2)) (cbrt.f32 (log.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3))))) (sqrt.f32 (log.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 3) (.f32 u (fma.f32 u 8/3 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 u (.f32 (fma.f32 u 8/3 4/3) 3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 (fma.f32 u 8/3 4/3)) 1) (log.f32 (.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (.f32 u 3)) (.f32 (log.f32 (fma.f32 u 8/3 4/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u 8/3) (.f32 u 3) (.f32 4/3 (.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 3 (.f32 u 4/3) (.f32 3 (.f32 u (.f32 u 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 4/3 (.f32 u 3) (.f32 (.f32 u 8/3) (.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u 4/3) 3 (.f32 (.f32 u (.f32 u 8/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u 3) (.f32 u 8/3) (.f32 (.f32 u 3) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u 3) 4/3 (.f32 (.f32 u 3) (.f32 u 8/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 u 8/3 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 16/9 (-.f32 4/3 (.f32 u 8/3))) (/.f32 (pow.f32 (.f32 u 8/3) 2) (-.f32 4/3 (.f32 u 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 u 8/3 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 u 8/3 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 u 8/3 4/3)) (cbrt.f32 (pow.f32 (fma.f32 u 8/3 4/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (fma.f32 u 8/3 4/3) 2)) (cbrt.f32 (fma.f32 u 8/3 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 u 8/3 4/3)) (sqrt.f32 (fma.f32 u 8/3 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 (pow.f32 u 3) 512/27 64/27) (/.f32 1 (fma.f32 (.f32 u 8/3) (fma.f32 u 8/3 -4/3) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 16/9 (pow.f32 (.f32 u 8/3) 2)) (/.f32 1 (-.f32 4/3 (.f32 u 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8/3)) 2) (.f32 (.f32 u 4/3) (.f32 u (.f32 u 8/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (.f32 u 4/3) 2) (pow.f32 (.f32 u (.f32 u 8/3)) 2)) (-.f32 (.f32 u 4/3) (.f32 u (.f32 u 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 (pow.f32 u 3) 512/27 64/27) u) (fma.f32 (.f32 u 8/3) (fma.f32 u 8/3 -4/3) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 16/9 (pow.f32 (.f32 u 8/3) 2)) u) (-.f32 4/3 (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (fma.f32 (pow.f32 u 3) 512/27 64/27)) (fma.f32 (.f32 u 8/3) (fma.f32 u 8/3 -4/3) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (-.f32 16/9 (pow.f32 (.f32 u 8/3) 2))) (-.f32 4/3 (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (fma.f32 u 8/3 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u (fma.f32 u 8/3 4/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u (fma.f32 u 8/3 4/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u (fma.f32 u 8/3 4/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u (fma.f32 u 8/3 4/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (.f32 u (fma.f32 u 8/3 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 u (fma.f32 u 8/3 4/3)))) 2)) (cbrt.f32 (log.f32 (.f32 u (fma.f32 u 8/3 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 u (fma.f32 u 8/3 4/3))))) (sqrt.f32 (log.f32 (.f32 u (fma.f32 u 8/3 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u (fma.f32 u 8/3 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u) (fma.f32 u 8/3 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u (fma.f32 u 8/3 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u (fma.f32 u 8/3 4/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u (fma.f32 u 8/3 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u (fma.f32 u 8/3 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u (fma.f32 u 8/3 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u (fma.f32 u 8/3 4/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (.f32 u (fma.f32 u 8/3 4/3)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 u (fma.f32 u 8/3 4/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 u (fma.f32 u 8/3 4/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 u (fma.f32 u 8/3 4/3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 u) 1) (log.f32 (fma.f32 u 8/3 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 u) (.f32 (log.f32 (fma.f32 u 8/3 4/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 u) 1) (.f32 (log.f32 (fma.f32 u 8/3 4/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 (fma.f32 u 8/3 4/3)) 1) (log.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (fma.f32 u 8/3 4/3)) (.f32 (log.f32 u) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 (fma.f32 u 8/3 4/3)) 1) (.f32 (log.f32 u) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u (.f32 u 8/3) (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u 4/3 (.f32 u (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 8/3 (.f32 u u) (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u 8/3) u (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 4/3 u (.f32 u (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 u 4/3) (.f32 u (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 u (.f32 u 8/3)) (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u u) 8/3 (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u) 2) (.f32 (cbrt.f32 u) (.f32 u 8/3)) (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u) 2) (.f32 (cbrt.f32 u) 4/3) (.f32 u (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 (.f32 u 8/3) 2)) (.f32 (cbrt.f32 (.f32 u 8/3)) u) (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (.f32 (sqrt.f32 u) (.f32 u 8/3)) (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (.f32 (sqrt.f32 u) 4/3) (.f32 u (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u 8/3)) (.f32 (sqrt.f32 (.f32 u 8/3)) u) (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u 4/3) 1 (.f32 (.f32 u (.f32 u 8/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (.f32 u 4/3)) 2) (cbrt.f32 (.f32 u 4/3)) (.f32 u (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (.f32 u (.f32 u 8/3))) 2) (cbrt.f32 (.f32 u (.f32 u 8/3))) (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u 4/3)) (sqrt.f32 (.f32 u 4/3)) (.f32 u (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u (.f32 u 8/3))) (sqrt.f32 (.f32 u (.f32 u 8/3))) (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u 8/3) (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u 8/3) (sqrt.f32 u)) (sqrt.f32 u) (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (cbrt.f32 (pow.f32 (.f32 u 8/3) 2))) (cbrt.f32 (.f32 u 8/3)) (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (sqrt.f32 (.f32 u 8/3))) (sqrt.f32 (.f32 u 8/3)) (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 4/3 (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (.f32 u (.f32 u 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 4/3 (sqrt.f32 u)) (sqrt.f32 u) (.f32 u (.f32 u 8/3)))))))

simplify198.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary32`
1080×	`sqr-pow_binary32`
642×	`fabs-mul_binary32`
612×	`pow-sqr_binary32`
610×	`cube-prod_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	354
1	31	336
2	52	300
3	103	282
4	270	282
5	822	282
6	1259	282
7	1722	282
8	1830	282
9	1963	282
10	2135	282
11	2378	282
12	2693	282
13	3065	282
14	3524	282
15	4113	282
16	4823	282
17	5683	282
18	6109	282
19	6425	282
20	6733	282
21	6809	282
22	6845	282

Stop Event

1×	node limit

Counts

227 → 194

Calls

Call 1

Inputs
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 4 u)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(*.f32 8 (pow.f32 u 2))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(*.f32 8 (pow.f32 u 2))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
4/3
(+.f32 4/3 (*.f32 8/3 u))
(+.f32 4/3 (*.f32 8/3 u))
(+.f32 4/3 (*.f32 8/3 u))
(*.f32 8/3 u)
(+.f32 4/3 (*.f32 8/3 u))
(+.f32 4/3 (*.f32 8/3 u))
(+.f32 4/3 (*.f32 8/3 u))
(*.f32 8/3 u)
(+.f32 4/3 (*.f32 8/3 u))
(+.f32 4/3 (*.f32 8/3 u))
(+.f32 4/3 (*.f32 8/3 u))
(*.f32 4/3 u)
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(*.f32 8/3 (pow.f32 u 2))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(*.f32 8/3 (pow.f32 u 2))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))

Outputs
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 8/3 u)
(*.f32 4 u)
(*.f32 u 4)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 u 8) 4))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 u 8) 4))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 u 8) 4))
(*.f32 u (fma.f32 u 8 4))
(*.f32 8 (pow.f32 u 2))
(.f32 8 (.f32 u u))
(.f32 u (.f32 u 8))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 u 8) 4))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 u 8) 4))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 u 8) 4))
(*.f32 u (fma.f32 u 8 4))
(*.f32 8 (pow.f32 u 2))
(.f32 8 (.f32 u u))
(.f32 u (.f32 u 8))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 u 8) 4))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 u 8) 4))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 u 8) 4))
(*.f32 u (fma.f32 u 8 4))
4/3
(+.f32 4/3 (*.f32 8/3 u))
(+.f32 (*.f32 8/3 u) 4/3)
(fma.f32 8/3 u 4/3)
(+.f32 4/3 (*.f32 8/3 u))
(+.f32 (*.f32 8/3 u) 4/3)
(fma.f32 8/3 u 4/3)
(+.f32 4/3 (*.f32 8/3 u))
(+.f32 (*.f32 8/3 u) 4/3)
(fma.f32 8/3 u 4/3)
(*.f32 8/3 u)
(+.f32 4/3 (*.f32 8/3 u))
(+.f32 (*.f32 8/3 u) 4/3)
(fma.f32 8/3 u 4/3)
(+.f32 4/3 (*.f32 8/3 u))
(+.f32 (*.f32 8/3 u) 4/3)
(fma.f32 8/3 u 4/3)
(+.f32 4/3 (*.f32 8/3 u))
(+.f32 (*.f32 8/3 u) 4/3)
(fma.f32 8/3 u 4/3)
(*.f32 8/3 u)
(+.f32 4/3 (*.f32 8/3 u))
(+.f32 (*.f32 8/3 u) 4/3)
(fma.f32 8/3 u 4/3)
(+.f32 4/3 (*.f32 8/3 u))
(+.f32 (*.f32 8/3 u) 4/3)
(fma.f32 8/3 u 4/3)
(+.f32 4/3 (*.f32 8/3 u))
(+.f32 (*.f32 8/3 u) 4/3)
(fma.f32 8/3 u 4/3)
(*.f32 4/3 u)
(*.f32 u 4/3)
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(fma.f32 8/3 (.f32 u u) (.f32 u 4/3))
(*.f32 u (fma.f32 8/3 u 4/3))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(fma.f32 8/3 (.f32 u u) (.f32 u 4/3))
(*.f32 u (fma.f32 8/3 u 4/3))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(fma.f32 8/3 (.f32 u u) (.f32 u 4/3))
(*.f32 u (fma.f32 8/3 u 4/3))
(*.f32 8/3 (pow.f32 u 2))
(.f32 8/3 (.f32 u u))
(.f32 u (.f32 8/3 u))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(fma.f32 8/3 (.f32 u u) (.f32 u 4/3))
(*.f32 u (fma.f32 8/3 u 4/3))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(fma.f32 8/3 (.f32 u u) (.f32 u 4/3))
(*.f32 u (fma.f32 8/3 u 4/3))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(fma.f32 8/3 (.f32 u u) (.f32 u 4/3))
(*.f32 u (fma.f32 8/3 u 4/3))
(*.f32 8/3 (pow.f32 u 2))
(.f32 8/3 (.f32 u u))
(.f32 u (.f32 8/3 u))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(fma.f32 8/3 (.f32 u u) (.f32 u 4/3))
(*.f32 u (fma.f32 8/3 u 4/3))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(fma.f32 8/3 (.f32 u u) (.f32 u 4/3))
(*.f32 u (fma.f32 8/3 u 4/3))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 4/3 u))
(fma.f32 8/3 (.f32 u u) (.f32 u 4/3))
(*.f32 u (fma.f32 8/3 u 4/3))

localize79.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 s (neg.f32 (log.f32 (+.f32 (.f32 u -4) 1))))
✓	12.7b	(log.f32 (+.f32 (*.f32 u -4) 1))

Compiler

Compiled 36 to 28 computations (22.2% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	s	@	0	(.f32 s (neg.f32 (log.f32 (+.f32 (.f32 u -4) 1))))
1.0ms	s	@	inf	(.f32 s (neg.f32 (log.f32 (+.f32 (.f32 u -4) 1))))
0.0ms	u	@	inf	(log.f32 (+.f32 (*.f32 u -4) 1))
0.0ms	u	@	inf	(.f32 s (neg.f32 (log.f32 (+.f32 (.f32 u -4) 1))))
0.0ms	u	@	0	(log.f32 (+.f32 (*.f32 u -4) 1))

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

853×	`pow1_binary32`
791×	`add-log-exp_binary32`
791×	`log1p-expm1-u_binary32`
791×	`expm1-log1p-u_binary32`
777×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	207	15
2	2521	15

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(log.f32 (+.f32 (*.f32 u -4) 1))
(.f32 s (neg.f32 (log.f32 (+.f32 (.f32 u -4) 1))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (*.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 u -4 1))) (log.f32 (sqrt.f32 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 (*.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (*.f32 u -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 1 (*.f32 (pow.f32 u 3) -64))) (log.f32 (+.f32 (*.f32 (*.f32 u u) 16) (-.f32 1 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (*.f32 (*.f32 u u) 16) -1)) (log.f32 (fma.f32 u -4 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 u -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 u -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2) (neg.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 u -4))) (sqrt.f32 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 u -4))) (neg.f32 (sqrt.f32 (log1p.f32 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (log1p.f32 (*.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2)) (cbrt.f32 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sqrt.f32 (log1p.f32 (*.f32 u -4)))) (sqrt.f32 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2)) (cbrt.f32 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -1 (sqrt.f32 (log1p.f32 (*.f32 u -4)))) (sqrt.f32 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 (*.f32 u -4)) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2) (*.f32 0 (log1p.f32 (*.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 (*.f32 u -4)) 2)) (log1p.f32 (*.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 u -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 u -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log1p.f32 (*.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (*.f32 u -4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 u -4))))))))

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

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

534×	`associate-l_binary32`
510×	`fma-def_binary32`
469×	`associate-+l-_binary32`
397×	`associate-r_binary32`
369×	`fma-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	700
1	291	662
2	864	642
3	2823	609

Stop Event

1×	node limit

Counts

83 → 97

Calls

Call 1

Inputs
(*.f32 -4 u)
(+.f32 (.f32 -4 u) (.f32 -8 (pow.f32 u 2)))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (*.f32 -64/3 (pow.f32 u 3))))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 -64 (pow.f32 u 4)) (.f32 -64/3 (pow.f32 u 3)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 4 (.f32 s u))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))

Outputs
(*.f32 -4 u)
(+.f32 (.f32 -4 u) (.f32 -8 (pow.f32 u 2)))
(fma.f32 -4 u (.f32 -8 (.f32 u u)))
(.f32 u (+.f32 (.f32 u -8) -4))
(.f32 u (+.f32 -4 (.f32 u -8)))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (*.f32 -64/3 (pow.f32 u 3))))
(fma.f32 -4 u (fma.f32 -8 (.f32 u u) (.f32 -64/3 (pow.f32 u 3))))
(fma.f32 -64/3 (pow.f32 u 3) (.f32 u (+.f32 (.f32 u -8) -4)))
(.f32 u (+.f32 -4 (.f32 u (+.f32 -8 (*.f32 u -64/3)))))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 -64 (pow.f32 u 4)) (.f32 -64/3 (pow.f32 u 3)))))
(fma.f32 -4 u (fma.f32 -8 (.f32 u u) (fma.f32 -64 (pow.f32 u 4) (.f32 -64/3 (pow.f32 u 3)))))
(fma.f32 -4 u (fma.f32 -8 (.f32 u u) (fma.f32 -64/3 (pow.f32 u 3) (.f32 -64 (pow.f32 u 4)))))
(fma.f32 -4 u (fma.f32 -64 (pow.f32 u 4) (.f32 (.f32 u u) (+.f32 -8 (*.f32 u -64/3)))))
(fma.f32 -4 u (.f32 (.f32 u u) (+.f32 -8 (.f32 u (+.f32 (.f32 -64 u) -64/3)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))
(fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))
(+.f32 (log.f32 u) (log.f32 -4))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (/.f32 1/4 u))
(+.f32 (log.f32 u) (-.f32 (log.f32 -4) (/.f32 1/4 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))))
(+.f32 (log.f32 u) (-.f32 (-.f32 (log.f32 -4) (/.f32 1/32 (*.f32 u u))) (/.f32 1/4 u)))
(+.f32 (log.f32 u) (-.f32 (+.f32 (log.f32 -4) (/.f32 -1/32 (*.f32 u u))) (/.f32 1/4 u)))
(+.f32 (log.f32 -4) (+.f32 (/.f32 -1/4 u) (+.f32 (log.f32 u) (/.f32 -1/32 (*.f32 u u)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (/.f32 1/192 (pow.f32 u 3)))))
(+.f32 (log.f32 u) (-.f32 (log.f32 -4) (+.f32 (/.f32 1/4 u) (+.f32 (/.f32 1/192 (pow.f32 u 3)) (/.f32 1/32 (*.f32 u u))))))
(+.f32 (log.f32 u) (+.f32 (-.f32 (+.f32 (log.f32 -4) (/.f32 -1/32 (*.f32 u u))) (/.f32 1/4 u)) (/.f32 -1/192 (pow.f32 u 3))))
(+.f32 (+.f32 (log.f32 u) (-.f32 (log.f32 -4) (/.f32 1/4 u))) (+.f32 (/.f32 -1/32 (*.f32 u u)) (/.f32 -1/192 (pow.f32 u 3))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))
(fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))
(-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (/.f32 1/4 u))
(+.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 -1/4 u))
(+.f32 (log.f32 4) (-.f32 (/.f32 -1/4 u) (log.f32 (/.f32 -1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))))
(+.f32 (-.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 1/32 (*.f32 u u))) (/.f32 -1/4 u))
(-.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))))
(+.f32 (log.f32 4) (+.f32 (-.f32 (/.f32 -1/4 u) (log.f32 (/.f32 -1 u))) (/.f32 -1/32 (*.f32 u u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (/.f32 1/192 (pow.f32 u 3)))))
(-.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 1/4 u) (+.f32 (/.f32 1/192 (pow.f32 u 3)) (/.f32 1/32 (*.f32 u u)))))
(+.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 -1/4 u) (+.f32 (/.f32 -1/32 (*.f32 u u)) (/.f32 -1/192 (pow.f32 u 3)))))
(+.f32 (+.f32 (log.f32 4) (-.f32 (/.f32 -1/4 u) (log.f32 (/.f32 -1 u)))) (+.f32 (/.f32 -1/32 (*.f32 u u)) (/.f32 -1/192 (pow.f32 u 3))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 -4 u))))
(.f32 s (neg.f32 (log1p.f32 (.f32 -4 u))))
(.f32 (log1p.f32 (.f32 -4 u)) (neg.f32 s))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 u s))
(.f32 u (.f32 4 s))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(fma.f32 4 (.f32 u s) (.f32 (.f32 8 s) (.f32 u u)))
(fma.f32 4 (.f32 u s) (.f32 (.f32 u u) (.f32 s 8)))
(.f32 u (+.f32 (.f32 4 s) (.f32 u (.f32 s 8))))
(.f32 u (.f32 s (+.f32 4 (*.f32 8 u))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 (.f32 8 s) (*.f32 u u))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 (.f32 u u) (*.f32 s 8))))
(fma.f32 u (.f32 4 s) (.f32 (.f32 u u) (+.f32 (.f32 s 8) (.f32 u (.f32 s 64/3)))))
(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 u 64/3) 8))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 (.f32 u u) s) (.f32 64 (.f32 (pow.f32 u 4) s)))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 (.f32 u u) s) (.f32 (pow.f32 u 4) (.f32 s 64)))))
(fma.f32 u (.f32 4 s) (fma.f32 (pow.f32 u 3) (.f32 s 64/3) (.f32 s (+.f32 (.f32 u (.f32 u 8)) (.f32 (pow.f32 u 4) 64)))))
(.f32 s (+.f32 (.f32 u (+.f32 4 (.f32 8 u))) (.f32 (pow.f32 u 3) (+.f32 (*.f32 64 u) 64/3))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(neg.f32 (*.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) s))
(*.f32 (+.f32 (log.f32 u) (log.f32 -4)) (neg.f32 s))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))
(fma.f32 -1 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) s) (.f32 1/4 (/.f32 s u)))
(fma.f32 (neg.f32 s) (+.f32 (log.f32 u) (log.f32 -4)) (*.f32 1/4 (/.f32 s u)))
(fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) (neg.f32 s) (*.f32 1/4 (/.f32 s u)))
(*.f32 s (-.f32 (/.f32 1/4 u) (+.f32 (log.f32 u) (log.f32 -4))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 -1 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) s) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 (neg.f32 s) (+.f32 (log.f32 u) (log.f32 -4)) (.f32 1/4 (/.f32 s u))))
(fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) (neg.f32 s) (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))))
(-.f32 (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))) (.f32 (+.f32 (log.f32 u) (log.f32 -4)) s))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 -1 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) s) (*.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 (neg.f32 s) (+.f32 (log.f32 u) (log.f32 -4)) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) (neg.f32 s) (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u)))))
(+.f32 (.f32 (/.f32 s (.f32 u u)) (+.f32 1/32 (/.f32 1/192 u))) (*.f32 s (-.f32 (/.f32 1/4 u) (+.f32 (log.f32 u) (log.f32 -4)))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(neg.f32 (*.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) s))
(*.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (neg.f32 s))
(*.f32 s (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/4 (/.f32 s u)))
(fma.f32 -1 (.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) s) (.f32 1/4 (/.f32 s u)))
(fma.f32 1/4 (/.f32 s u) (*.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (neg.f32 s)))
(-.f32 (.f32 1/4 (/.f32 s u)) (.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) s))
(*.f32 s (-.f32 (+.f32 (log.f32 (/.f32 -1 u)) (/.f32 1/4 u)) (log.f32 4)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 -1 (.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) s) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/4 (/.f32 s u) (.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (neg.f32 s))))
(-.f32 (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))) (.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) s))
(fma.f32 s (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 -1 (.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) s) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (*.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 (neg.f32 s) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (fma.f32 1/4 (/.f32 s u) (.f32 1/192 (/.f32 s (pow.f32 u 3))))))
(+.f32 (-.f32 (.f32 1/4 (/.f32 s u)) (.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) s)) (.f32 (/.f32 s (.f32 u u)) (+.f32 1/32 (/.f32 1/192 u))))
(fma.f32 s (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) (.f32 (/.f32 s u) (+.f32 1/4 (+.f32 (/.f32 1/32 u) (/.f32 1/192 (.f32 u u))))))

localize87.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f32 1 (-.f32 1 (.f32 16 (.f32 u u))))
✓	0.2b	(.f32 s (+.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u))))) (log1p.f32 (.f32 4 u))))
✓	0.3b	(+.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u))))) (log1p.f32 (*.f32 4 u)))
✓	20.9b	(log.f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u)))))

Compiler

Compiled 80 to 53 computations (33.8% saved)

series53.0ms (0.6%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
45.0ms	s	@	0	(.f32 s (+.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u))))) (log1p.f32 (.f32 4 u))))
1.0ms	u	@	0	(log.f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u)))))
1.0ms	u	@	inf	(log.f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u)))))
1.0ms	s	@	inf	(.f32 s (+.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u))))) (log1p.f32 (.f32 4 u))))
1.0ms	u	@	-inf	(.f32 s (+.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u))))) (log1p.f32 (.f32 4 u))))

rewrite100.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

720×	`log-prod_binary32`
400×	`fma-def_binary32`
387×	`pow2_binary32`
266×	`pow1/3_binary32`
261×	`expm1-udef_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	327	61
2	4239	59

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

Inputs
(log.f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u)))))
(+.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u))))) (log1p.f32 (*.f32 4 u)))
(.f32 s (+.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u))))) (log1p.f32 (.f32 4 u))))
(/.f32 1 (-.f32 1 (.f32 16 (.f32 u u))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 (.f32 u u) -16 1) -2))) (neg.f32 (.f32 1/3 (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 -1) (log.f32 (/.f32 1 (neg.f32 (fma.f32 (.f32 u u) -16 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/2 (log1p.f32 (.f32 (.f32 u u) -16))) (.f32 -1/2 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (.f32 1/3 (log1p.f32 (.f32 (.f32 u u) -16)))) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 (.f32 u u) -16 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (cbrt.f32 (pow.f32 (fma.f32 (.f32 u u) -16 1) 2)))) (neg.f32 (.f32 1/3 (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 4096 (pow.f32 (.f32 u u) 3))))) (log1p.f32 (fma.f32 16 (.f32 u u) (.f32 256 (pow.f32 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 256 (pow.f32 u 4))))) (log1p.f32 (.f32 16 (.f32 u u))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 (.f32 (.f32 u u) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 u u) -16 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 -1) (log.f32 (neg.f32 (fma.f32 (.f32 u u) -16 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 -1/2 (log1p.f32 (.f32 (.f32 u u) -16))) (.f32 1/2 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (/.f32 1 (cbrt.f32 (pow.f32 (fma.f32 (.f32 u u) -16 1) 2)))) (.f32 1/3 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))) (cbrt.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 2)) (cbrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))) (sqrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 -1/2 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (log1p.f32 (.f32 (.f32 u u) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 3 (neg.f32 (.f32 1/3 (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/3 (.f32 3 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 2) (.f32 0 (log1p.f32 (.f32 (.f32 u u) -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 2)) (log1p.f32 (.f32 (.f32 u u) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 u u) -16 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 (*.f32 u u) -16)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (-.f32 (log1p.f32 (.f32 (.f32 u u) -16)) (log1p.f32 (.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 2) (-.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) (log1p.f32 (.f32 u 4)))) (/.f32 (pow.f32 (log1p.f32 (.f32 u 4)) 2) (-.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) (log1p.f32 (.f32 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log1p.f32 (.f32 u 4)) 0) (log1p.f32 (.f32 (.f32 u u) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) 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(.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s)) 2) (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s)) (.f32 (log1p.f32 (.f32 u 4)) s))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 (log1p.f32 (.f32 u 4)) s)) (sqrt.f32 (.f32 (log1p.f32 (.f32 u 4)) s)) (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s)) (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s)) (.f32 (log1p.f32 (.f32 u 4)) s))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))) (sqrt.f32 s)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))) (sqrt.f32 s)) (.f32 (log1p.f32 (.f32 u 4)) s))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 s) (sqrt.f32 (log1p.f32 (.f32 u 4)))) (.f32 (sqrt.f32 s) (sqrt.f32 (log1p.f32 (.f32 u 4)))) (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 (log1p.f32 (.f32 u 4))) (sqrt.f32 s)) (.f32 (sqrt.f32 (log1p.f32 (.f32 u 4))) (sqrt.f32 s)) (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 s) (sqrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))))) (.f32 (sqrt.f32 s) (sqrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))))) (.f32 (log1p.f32 (.f32 u 4)) s))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) (pow.f32 (cbrt.f32 s) 2)) (cbrt.f32 s) (.f32 (log1p.f32 (.f32 u 4)) s))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) (sqrt.f32 s)) (sqrt.f32 s) (.f32 (log1p.f32 (.f32 u 4)) s))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 s (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u 4))) 2)) (cbrt.f32 (log1p.f32 (.f32 u 4))) (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 s (sqrt.f32 (log1p.f32 (.f32 u 4)))) (sqrt.f32 (log1p.f32 (.f32 u 4))) (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (log1p.f32 (.f32 u 4)) (pow.f32 (cbrt.f32 s) 2)) (cbrt.f32 s) (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (log1p.f32 (.f32 u 4)) (sqrt.f32 s)) (sqrt.f32 s) (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 s (cbrt.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 2))) (cbrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))) (.f32 (log1p.f32 (.f32 u 4)) s))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))))) (sqrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))) (.f32 (log1p.f32 (.f32 u 4)) s))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1 (fma.f32 (.f32 u u) -16 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 (fma.f32 (.f32 u u) -16 1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 1 (fma.f32 (.f32 u u) -16 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (fma.f32 (.f32 u u) -16 1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (fma.f32 (.f32 u u) -16 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 1 (fma.f32 (.f32 u u) -16 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 1 (fma.f32 (.f32 u u) -16 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (fma.f32 (.f32 u u) -16 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (cbrt.f32 (fma.f32 (.f32 u u) -16 1))) (cbrt.f32 (pow.f32 (fma.f32 (.f32 u u) -16 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (fma.f32 (.f32 u u) -16 1) -2)) (/.f32 1 (cbrt.f32 (fma.f32 (.f32 u u) -16 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (fma.f32 (.f32 u u) -16 1) -1/2) (pow.f32 (fma.f32 (.f32 u u) -16 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 1 (neg.f32 (fma.f32 (.f32 u u) -16 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (cbrt.f32 (pow.f32 (fma.f32 (.f32 u u) -16 1) 2))) (/.f32 1 (cbrt.f32 (fma.f32 (.f32 u u) -16 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (-.f32 1 (.f32 4096 (pow.f32 (.f32 u u) 3)))) (+.f32 1 (fma.f32 16 (.f32 u u) (.f32 256 (pow.f32 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (-.f32 1 (.f32 256 (pow.f32 u 4)))) (fma.f32 16 (.f32 u u) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 (.f32 u u) -16 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (fma.f32 (.f32 u u) -16 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 1 (fma.f32 (.f32 u u) -16 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (cbrt.f32 (fma.f32 (.f32 u u) -16 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 (.f32 u u) -16 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 2))) (cbrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))))) (sqrt.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 u u) -16 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 (.f32 u u) -16 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 1 (fma.f32 (.f32 u u) -16 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (fma.f32 (.f32 u u) -16 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 1 (fma.f32 (.f32 u u) -16 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 1 (fma.f32 (.f32 u u) -16 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 1 (fma.f32 (.f32 u u) -16 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log1p.f32 (.f32 (*.f32 u u) -16)) -1))))))

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-def_binary32`
476×	`+-commutative_binary32`
456×	`associate--l+_binary32`
321×	`distribute-lft-out_binary32`
263×	`fma-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	1556
1	533	1408
2	1630	1348
3	4344	1283

Stop Event

1×	node limit

Counts

237 → 266

Calls

Call 1

Inputs
(*.f32 16 (pow.f32 u 2))
(+.f32 (.f32 16 (pow.f32 u 2)) (.f32 128 (pow.f32 u 4)))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 128 (pow.f32 u 4)) (*.f32 4096/3 (pow.f32 u 6))))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 128 (pow.f32 u 4)) (+.f32 (.f32 16384 (pow.f32 u 8)) (.f32 4096/3 (pow.f32 u 6)))))
(+.f32 (*.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16)))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/512 (/.f32 1 (pow.f32 u 4))) (+.f32 (*.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16))))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/512 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 1/12288 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16)))))
(+.f32 (*.f32 2 (log.f32 (/.f32 -1 u))) (log.f32 -1/16))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (log.f32 -1/16)))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/512 (/.f32 1 (pow.f32 u 4))) (+.f32 (*.f32 2 (log.f32 (/.f32 -1 u))) (log.f32 -1/16))))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/512 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 1/12288 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (log.f32 -1/16)))))
(*.f32 4 u)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (log.f32 4) (+.f32 (.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 4) (+.f32 (*.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16)))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 4) (+.f32 (.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16))))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 4) (+.f32 (.f32 2 (log.f32 (/.f32 1 u))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 u 3))) (log.f32 -1/16)))))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (log.f32 -1/16))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (*.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (log.f32 -1/16)))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (log.f32 -1/16))))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 u 3))) (log.f32 -1/16)))))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 4 (.f32 s u))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (log.f32 4) (+.f32 (*.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16)))))
(+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (log.f32 4) (+.f32 (.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16))))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (log.f32 4) (+.f32 (*.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16)))))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (log.f32 4) (+.f32 (.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16))))))))
(.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (*.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (log.f32 -1/16)))) s)
(+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (log.f32 -1/16)))) s) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (log.f32 -1/16)))) s) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (log.f32 -1/16)))) s) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
1
(+.f32 (*.f32 16 (pow.f32 u 2)) 1)
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 256 (pow.f32 u 4)) 1))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 256 (pow.f32 u 4)) (+.f32 1 (*.f32 4096 (pow.f32 u 6)))))
(/.f32 -1/16 (pow.f32 u 2))
(neg.f32 (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (.f32 1/16 (/.f32 1 (pow.f32 u 2)))))
(neg.f32 (+.f32 (.f32 1/4096 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (*.f32 1/16 (/.f32 1 (pow.f32 u 2))))))
(neg.f32 (+.f32 (.f32 1/4096 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (.f32 1/65536 (/.f32 1 (pow.f32 u 8)))))))
(/.f32 -1/16 (pow.f32 u 2))
(neg.f32 (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (.f32 1/16 (/.f32 1 (pow.f32 u 2)))))
(neg.f32 (+.f32 (.f32 1/4096 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (*.f32 1/16 (/.f32 1 (pow.f32 u 2))))))
(neg.f32 (+.f32 (.f32 1/4096 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (.f32 1/65536 (/.f32 1 (pow.f32 u 8)))))))

Outputs
(*.f32 16 (pow.f32 u 2))
(.f32 16 (.f32 u u))
(+.f32 (.f32 16 (pow.f32 u 2)) (.f32 128 (pow.f32 u 4)))
(fma.f32 16 (.f32 u u) (.f32 128 (pow.f32 u 4)))
(fma.f32 128 (pow.f32 u 4) (.f32 16 (.f32 u u)))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 128 (pow.f32 u 4)) (*.f32 4096/3 (pow.f32 u 6))))
(fma.f32 16 (.f32 u u) (fma.f32 128 (pow.f32 u 4) (.f32 4096/3 (pow.f32 u 6))))
(fma.f32 128 (pow.f32 u 4) (fma.f32 4096/3 (pow.f32 u 6) (.f32 16 (.f32 u u))))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 128 (pow.f32 u 4)) (+.f32 (.f32 16384 (pow.f32 u 8)) (.f32 4096/3 (pow.f32 u 6)))))
(fma.f32 16 (.f32 u u) (fma.f32 128 (pow.f32 u 4) (fma.f32 16384 (pow.f32 u 8) (.f32 4096/3 (pow.f32 u 6)))))
(fma.f32 16 (.f32 u u) (fma.f32 128 (pow.f32 u 4) (fma.f32 4096/3 (pow.f32 u 6) (.f32 16384 (pow.f32 u 8)))))
(+.f32 (*.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16))
(fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16))
(+.f32 (*.f32 (log.f32 u) -2) (log.f32 -1/16))
(-.f32 (log.f32 -1/16) (*.f32 2 (log.f32 u)))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16)))
(+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (/.f32 1/16 (*.f32 u u)))
(+.f32 (.f32 (log.f32 u) -2) (+.f32 (log.f32 -1/16) (/.f32 1/16 (.f32 u u))))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/512 (/.f32 1 (pow.f32 u 4))) (+.f32 (*.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16))))
(+.f32 (/.f32 1/16 (*.f32 u u)) (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (/.f32 1/512 (pow.f32 u 4))))
(+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (+.f32 (/.f32 1/16 (*.f32 u u)) (/.f32 1/512 (pow.f32 u 4))))
(+.f32 (.f32 (log.f32 u) -2) (+.f32 (log.f32 -1/16) (+.f32 (/.f32 1/16 (.f32 u u)) (/.f32 1/512 (pow.f32 u 4)))))
(+.f32 (log.f32 -1/16) (-.f32 (+.f32 (/.f32 1/16 (.f32 u u)) (/.f32 1/512 (pow.f32 u 4))) (.f32 2 (log.f32 u))))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/512 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 1/12288 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16)))))
(+.f32 (/.f32 1/16 (*.f32 u u)) (+.f32 (/.f32 1/512 (pow.f32 u 4)) (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (/.f32 1/12288 (pow.f32 u 6)))))
(+.f32 (/.f32 1/16 (*.f32 u u)) (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (+.f32 (/.f32 1/512 (pow.f32 u 4)) (/.f32 1/12288 (pow.f32 u 6)))))
(+.f32 (log.f32 -1/16) (+.f32 (+.f32 (.f32 (log.f32 u) -2) (/.f32 1/12288 (pow.f32 u 6))) (+.f32 (/.f32 1/16 (.f32 u u)) (/.f32 1/512 (pow.f32 u 4)))))
(+.f32 (*.f32 2 (log.f32 (/.f32 -1 u))) (log.f32 -1/16))
(fma.f32 2 (log.f32 (/.f32 -1 u)) (log.f32 -1/16))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (log.f32 -1/16)))
(+.f32 (/.f32 1/16 (*.f32 u u)) (fma.f32 2 (log.f32 (/.f32 -1 u)) (log.f32 -1/16)))
(+.f32 (log.f32 -1/16) (fma.f32 2 (log.f32 (/.f32 -1 u)) (/.f32 1/16 (*.f32 u u))))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/512 (/.f32 1 (pow.f32 u 4))) (+.f32 (*.f32 2 (log.f32 (/.f32 -1 u))) (log.f32 -1/16))))
(+.f32 (/.f32 1/16 (*.f32 u u)) (+.f32 (/.f32 1/512 (pow.f32 u 4)) (fma.f32 2 (log.f32 (/.f32 -1 u)) (log.f32 -1/16))))
(+.f32 (log.f32 -1/16) (+.f32 (/.f32 1/16 (*.f32 u u)) (fma.f32 2 (log.f32 (/.f32 -1 u)) (/.f32 1/512 (pow.f32 u 4)))))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/512 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 1/12288 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (log.f32 -1/16)))))
(+.f32 (/.f32 1/16 (*.f32 u u)) (+.f32 (/.f32 1/512 (pow.f32 u 4)) (+.f32 (/.f32 1/12288 (pow.f32 u 6)) (fma.f32 2 (log.f32 (/.f32 -1 u)) (log.f32 -1/16)))))
(+.f32 (/.f32 1/16 (*.f32 u u)) (+.f32 (fma.f32 2 (log.f32 (/.f32 -1 u)) (log.f32 -1/16)) (+.f32 (/.f32 1/512 (pow.f32 u 4)) (/.f32 1/12288 (pow.f32 u 6)))))
(+.f32 (log.f32 -1/16) (+.f32 (+.f32 (/.f32 1/16 (*.f32 u u)) (/.f32 1/512 (pow.f32 u 4))) (fma.f32 2 (log.f32 (/.f32 -1 u)) (/.f32 1/12288 (pow.f32 u 6)))))
(*.f32 4 u)
(*.f32 u 4)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(fma.f32 (.f32 u u) 8 (.f32 u 4))
(.f32 u (+.f32 4 (.f32 u 8)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(fma.f32 8 (.f32 u u) (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)))
(fma.f32 (.f32 u u) 8 (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)))
(fma.f32 u 4 (.f32 (.f32 u u) (+.f32 8 (*.f32 u 64/3))))
(.f32 u (+.f32 4 (.f32 u (+.f32 (*.f32 u 64/3) 8))))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(fma.f32 8 (.f32 u u) (fma.f32 64 (pow.f32 u 4) (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4))))
(fma.f32 (.f32 u u) 8 (fma.f32 (pow.f32 u 4) 64 (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4))))
(fma.f32 (pow.f32 u 4) 64 (fma.f32 u 4 (.f32 (.f32 u u) (+.f32 8 (*.f32 u 64/3)))))
(fma.f32 (pow.f32 u 4) 64 (.f32 u (+.f32 4 (.f32 u (+.f32 (*.f32 u 64/3) 8)))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (log.f32 4) (+.f32 (.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16))))
(fma.f32 -1 (neg.f32 (log.f32 u)) (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (log.f32 4)))
(+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (+.f32 (log.f32 u) (log.f32 4)))
(+.f32 (log.f32 u) (+.f32 (*.f32 (log.f32 u) -2) (+.f32 (log.f32 -1/16) (log.f32 4))))
(+.f32 (+.f32 (log.f32 -1/16) (log.f32 4)) (neg.f32 (log.f32 u)))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 4) (+.f32 (*.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16)))))
(fma.f32 -1 (neg.f32 (log.f32 u)) (+.f32 (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (log.f32 4)) (/.f32 1/4 u)))
(+.f32 (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (log.f32 4)) (+.f32 (log.f32 u) (/.f32 1/4 u)))
(+.f32 (+.f32 (*.f32 (log.f32 u) -2) (log.f32 -1/16)) (+.f32 (log.f32 u) (+.f32 (log.f32 4) (/.f32 1/4 u))))
(+.f32 (+.f32 (+.f32 (log.f32 -1/16) (log.f32 4)) (neg.f32 (log.f32 u))) (/.f32 1/4 u))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 4) (+.f32 (.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16))))))
(fma.f32 -1 (neg.f32 (log.f32 u)) (+.f32 (+.f32 (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (log.f32 4)) (/.f32 1/4 u)) (/.f32 1/32 (*.f32 u u))))
(+.f32 (log.f32 u) (+.f32 (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (log.f32 4)) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u)))))
(+.f32 (log.f32 u) (+.f32 (+.f32 (.f32 (log.f32 u) -2) (log.f32 -1/16)) (+.f32 (/.f32 1/32 (.f32 u u)) (+.f32 (log.f32 4) (/.f32 1/4 u)))))
(+.f32 (+.f32 (+.f32 (log.f32 -1/16) (log.f32 4)) (neg.f32 (log.f32 u))) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 4) (+.f32 (.f32 2 (log.f32 (/.f32 1 u))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 u 3))) (log.f32 -1/16)))))))
(fma.f32 -1 (neg.f32 (log.f32 u)) (+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (+.f32 (log.f32 4) (fma.f32 2 (neg.f32 (log.f32 u)) (+.f32 (log.f32 -1/16) (/.f32 1/192 (pow.f32 u 3))))))))
(+.f32 (+.f32 (log.f32 4) (+.f32 (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (/.f32 1/192 (pow.f32 u 3))) (/.f32 1/4 u))) (+.f32 (log.f32 u) (/.f32 1/32 (*.f32 u u))))
(+.f32 (log.f32 u) (+.f32 (log.f32 4) (+.f32 (+.f32 (.f32 (log.f32 u) -2) (+.f32 (log.f32 -1/16) (/.f32 1/192 (pow.f32 u 3)))) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (.f32 u u))))))
(+.f32 (/.f32 1/4 u) (+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (/.f32 1/192 (pow.f32 u 3)) (+.f32 (+.f32 (log.f32 -1/16) (log.f32 4)) (neg.f32 (log.f32 u))))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (log.f32 -1/16))))
(fma.f32 -1 (log.f32 (/.f32 -1 u)) (fma.f32 2 (log.f32 (/.f32 -1 u)) (+.f32 (log.f32 -1/16) (log.f32 -4))))
(+.f32 (+.f32 (log.f32 -1/16) (log.f32 -4)) (*.f32 (log.f32 (/.f32 -1 u)) 1))
(+.f32 (log.f32 -1/16) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 -4)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (*.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (log.f32 -1/16)))))
(fma.f32 -1 (log.f32 (/.f32 -1 u)) (+.f32 (/.f32 1/4 u) (fma.f32 2 (log.f32 (/.f32 -1 u)) (+.f32 (log.f32 -1/16) (log.f32 -4)))))
(+.f32 (/.f32 1/4 u) (+.f32 (+.f32 (log.f32 -1/16) (log.f32 -4)) (*.f32 (log.f32 (/.f32 -1 u)) 1)))
(+.f32 (/.f32 1/4 u) (+.f32 (log.f32 -1/16) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 -4))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (log.f32 -1/16))))))
(fma.f32 -1 (log.f32 (/.f32 -1 u)) (+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (fma.f32 2 (log.f32 (/.f32 -1 u)) (+.f32 (log.f32 -1/16) (log.f32 -4))))))
(+.f32 (/.f32 1/32 (.f32 u u)) (+.f32 (/.f32 1/4 u) (+.f32 (+.f32 (log.f32 -1/16) (log.f32 -4)) (.f32 (log.f32 (/.f32 -1 u)) 1))))
(+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (+.f32 (log.f32 -1/16) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 -4)))))
(+.f32 (+.f32 (log.f32 -1/16) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 -4))) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 u 3))) (log.f32 -1/16)))))))
(fma.f32 -1 (log.f32 (/.f32 -1 u)) (+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (fma.f32 2 (log.f32 (/.f32 -1 u)) (+.f32 (+.f32 (log.f32 -1/16) (/.f32 1/192 (pow.f32 u 3))) (log.f32 -4))))))
(-.f32 (+.f32 (+.f32 (+.f32 (log.f32 -1/16) (/.f32 1/192 (pow.f32 u 3))) (fma.f32 2 (log.f32 (/.f32 -1 u)) (log.f32 -4))) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u)))) (log.f32 (/.f32 -1 u)))
(+.f32 (+.f32 (+.f32 (/.f32 1/192 (pow.f32 u 3)) (+.f32 (log.f32 -1/16) (log.f32 -4))) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u)))) (log.f32 (/.f32 -1 u)))
(+.f32 (/.f32 1/4 u) (+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (+.f32 (log.f32 -1/16) (/.f32 1/192 (pow.f32 u 3))) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 -4)))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (neg.f32 (log.f32 (-.f32 1 (.f32 16 (.f32 u u)))))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (neg.f32 (log.f32 (-.f32 1 (.f32 16 (.f32 u u)))))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (neg.f32 (log.f32 (-.f32 1 (.f32 16 (.f32 u u)))))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (neg.f32 (log.f32 (-.f32 1 (.f32 16 (.f32 u u)))))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (neg.f32 (log.f32 (-.f32 1 (.f32 16 (.f32 u u)))))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (neg.f32 (log.f32 (-.f32 1 (.f32 16 (.f32 u u)))))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (neg.f32 (log.f32 (-.f32 1 (.f32 16 (.f32 u u)))))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (neg.f32 (log.f32 (-.f32 1 (.f32 16 (.f32 u u)))))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (neg.f32 (log.f32 (-.f32 1 (.f32 16 (.f32 u u)))))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (neg.f32 (log.f32 (-.f32 1 (.f32 16 (.f32 u u)))))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (neg.f32 (log.f32 (-.f32 1 (.f32 16 (.f32 u u)))))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (/.f32 1 (-.f32 1 (*.f32 16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (neg.f32 (log.f32 (-.f32 1 (.f32 16 (.f32 u u)))))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 u s))
(.f32 u (.f32 4 s))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 (.f32 u u) s)))
(fma.f32 4 (.f32 u s) (.f32 (.f32 u u) (.f32 8 s)))
(.f32 s (.f32 u (+.f32 4 (*.f32 u 8))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 (*.f32 u u) s))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 (.f32 u u) (*.f32 8 s))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (.f32 s (.f32 u (+.f32 4 (.f32 u 8)))))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 (.f32 u 64/3) 8)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 (.f32 u u) s) (.f32 64 (.f32 (pow.f32 u 4) s)))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 u (.f32 u s)) (.f32 (pow.f32 u 4) (.f32 64 s)))))
(+.f32 (.f32 s (.f32 u (+.f32 4 (.f32 u 8)))) (.f32 s (fma.f32 (pow.f32 u 4) 64 (*.f32 64/3 (pow.f32 u 3)))))
(.f32 s (fma.f32 (pow.f32 u 4) 64 (.f32 u (+.f32 4 (.f32 u (+.f32 (.f32 u 64/3) 8))))))
(.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (log.f32 4) (+.f32 (*.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16)))))
(*.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (log.f32 4))) s)
(*.f32 (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (+.f32 (log.f32 u) (log.f32 4))) s)
(.f32 (+.f32 (log.f32 u) (+.f32 (.f32 (log.f32 u) -2) (+.f32 (log.f32 -1/16) (log.f32 4)))) s)
(*.f32 (+.f32 (+.f32 (log.f32 -1/16) (log.f32 4)) (neg.f32 (log.f32 u))) s)
(+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (log.f32 4) (+.f32 (.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16))))))
(fma.f32 1/4 (/.f32 s u) (*.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (log.f32 4))) s))
(fma.f32 (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (+.f32 (log.f32 u) (log.f32 4))) s (*.f32 1/4 (/.f32 s u)))
(fma.f32 (+.f32 (log.f32 u) (+.f32 (.f32 (log.f32 u) -2) (+.f32 (log.f32 -1/16) (log.f32 4)))) s (.f32 1/4 (/.f32 s u)))
(*.f32 s (+.f32 (+.f32 (+.f32 (log.f32 -1/16) (log.f32 4)) (neg.f32 (log.f32 u))) (/.f32 1/4 u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (log.f32 4) (+.f32 (*.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16)))))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/4 (/.f32 s u) (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (log.f32 4))) s)))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (+.f32 (log.f32 u) (log.f32 4))) s (.f32 1/4 (/.f32 s u))))
(fma.f32 (+.f32 (log.f32 u) (+.f32 (.f32 (log.f32 u) -2) (+.f32 (log.f32 -1/16) (log.f32 4)))) s (.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4)))
(fma.f32 (+.f32 (+.f32 (log.f32 -1/16) (log.f32 4)) (neg.f32 (log.f32 u))) s (*.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (log.f32 4) (+.f32 (.f32 2 (log.f32 (/.f32 1 u))) (log.f32 -1/16))))))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 1/4 (/.f32 s u) (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (log.f32 4))) s))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 (+.f32 (fma.f32 2 (neg.f32 (log.f32 u)) (log.f32 -1/16)) (+.f32 (log.f32 u) (log.f32 4))) s (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 (+.f32 (log.f32 u) (+.f32 (.f32 (log.f32 u) -2) (+.f32 (log.f32 -1/16) (log.f32 4)))) s (.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4))))
(fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 (+.f32 (+.f32 (log.f32 -1/16) (log.f32 4)) (neg.f32 (log.f32 u))) s (*.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4))))
(.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (*.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (log.f32 -1/16)))) s)
(*.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (fma.f32 2 (log.f32 (/.f32 -1 u)) (+.f32 (log.f32 -1/16) (log.f32 -4)))) s)
(.f32 (+.f32 (+.f32 (log.f32 -1/16) (log.f32 -4)) (.f32 (log.f32 (/.f32 -1 u)) 1)) s)
(*.f32 (+.f32 (log.f32 -1/16) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 -4))) s)
(+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (log.f32 -1/16)))) s) (.f32 1/4 (/.f32 s u)))
(fma.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (fma.f32 2 (log.f32 (/.f32 -1 u)) (+.f32 (log.f32 -1/16) (log.f32 -4)))) s (*.f32 1/4 (/.f32 s u)))
(fma.f32 1/4 (/.f32 s u) (.f32 (+.f32 (+.f32 (log.f32 -1/16) (log.f32 -4)) (.f32 (log.f32 (/.f32 -1 u)) 1)) s))
(fma.f32 1/4 (/.f32 s u) (*.f32 (+.f32 (log.f32 -1/16) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 -4))) s))
(*.f32 s (+.f32 (/.f32 1/4 u) (+.f32 (log.f32 -1/16) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 -4)))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (log.f32 -1/16)))) s) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (fma.f32 2 (log.f32 (/.f32 -1 u)) (+.f32 (log.f32 -1/16) (log.f32 -4)))) s (.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/4 (/.f32 s u) (.f32 (+.f32 (+.f32 (log.f32 -1/16) (log.f32 -4)) (*.f32 (log.f32 (/.f32 -1 u)) 1)) s)))
(fma.f32 (+.f32 (log.f32 -1/16) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 -4))) s (*.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 2 (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (log.f32 -1/16)))) s) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (fma.f32 2 (log.f32 (/.f32 -1 u)) (+.f32 (log.f32 -1/16) (log.f32 -4)))) s (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 (+.f32 (+.f32 (log.f32 -1/16) (log.f32 -4)) (.f32 (log.f32 (/.f32 -1 u)) 1)) s (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (*.f32 1/4 (/.f32 s u)))))
(+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (fma.f32 (+.f32 (log.f32 -1/16) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 -4))) s (.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4))))
(fma.f32 (+.f32 (log.f32 -1/16) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 -4))) s (.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) (+.f32 1/4 (/.f32 1/192 (.f32 u u))))))
1
(+.f32 (*.f32 16 (pow.f32 u 2)) 1)
(fma.f32 16 (*.f32 u u) 1)
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 256 (pow.f32 u 4)) 1))
(fma.f32 16 (*.f32 u u) (fma.f32 256 (pow.f32 u 4) 1))
(fma.f32 16 (*.f32 u u) (fma.f32 (pow.f32 u 4) 256 1))
(fma.f32 (pow.f32 u 4) 256 (fma.f32 16 (*.f32 u u) 1))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 256 (pow.f32 u 4)) (+.f32 1 (*.f32 4096 (pow.f32 u 6)))))
(fma.f32 16 (.f32 u u) (+.f32 (fma.f32 256 (pow.f32 u 4) 1) (.f32 (pow.f32 u 6) 4096)))
(fma.f32 16 (*.f32 u u) (fma.f32 (pow.f32 u 4) 256 (fma.f32 (pow.f32 u 6) 4096 1)))
(/.f32 -1/16 (pow.f32 u 2))
(/.f32 -1/16 (*.f32 u u))
(/.f32 (/.f32 -1/16 u) u)
(neg.f32 (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (.f32 1/16 (/.f32 1 (pow.f32 u 2)))))
(neg.f32 (+.f32 (/.f32 1/16 (*.f32 u u)) (/.f32 1/256 (pow.f32 u 4))))
(+.f32 (/.f32 -1/256 (pow.f32 u 4)) (/.f32 (/.f32 -1/16 u) u))
(+.f32 (/.f32 -1/256 (pow.f32 u 4)) (/.f32 -1/16 (*.f32 u u)))
(neg.f32 (+.f32 (.f32 1/4096 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (*.f32 1/16 (/.f32 1 (pow.f32 u 2))))))
(neg.f32 (+.f32 (+.f32 (/.f32 1/16 (*.f32 u u)) (/.f32 1/256 (pow.f32 u 4))) (/.f32 1/4096 (pow.f32 u 6))))
(+.f32 (+.f32 (/.f32 -1/256 (pow.f32 u 4)) (/.f32 (/.f32 -1/16 u) u)) (/.f32 -1/4096 (pow.f32 u 6)))
(+.f32 (+.f32 (/.f32 -1/256 (pow.f32 u 4)) (/.f32 -1/16 (*.f32 u u))) (/.f32 -1/4096 (pow.f32 u 6)))
(neg.f32 (+.f32 (.f32 1/4096 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (.f32 1/65536 (/.f32 1 (pow.f32 u 8)))))))
(neg.f32 (+.f32 (/.f32 1/4096 (pow.f32 u 6)) (+.f32 (/.f32 1/256 (pow.f32 u 4)) (+.f32 (/.f32 1/16 (*.f32 u u)) (/.f32 1/65536 (pow.f32 u 8))))))
(-.f32 (/.f32 -1/4096 (pow.f32 u 6)) (+.f32 (/.f32 1/16 (*.f32 u u)) (+.f32 (/.f32 1/256 (pow.f32 u 4)) (/.f32 1/65536 (pow.f32 u 8)))))
(+.f32 (+.f32 (+.f32 (/.f32 -1/256 (pow.f32 u 4)) (/.f32 (/.f32 -1/16 u) u)) (/.f32 -1/4096 (pow.f32 u 6))) (/.f32 -1/65536 (pow.f32 u 8)))
(+.f32 (+.f32 (/.f32 -1/256 (pow.f32 u 4)) (/.f32 -1/16 (*.f32 u u))) (+.f32 (/.f32 -1/4096 (pow.f32 u 6)) (/.f32 -1/65536 (pow.f32 u 8))))
(/.f32 -1/16 (pow.f32 u 2))
(/.f32 -1/16 (*.f32 u u))
(/.f32 (/.f32 -1/16 u) u)
(neg.f32 (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (.f32 1/16 (/.f32 1 (pow.f32 u 2)))))
(neg.f32 (+.f32 (/.f32 1/16 (*.f32 u u)) (/.f32 1/256 (pow.f32 u 4))))
(+.f32 (/.f32 -1/256 (pow.f32 u 4)) (/.f32 (/.f32 -1/16 u) u))
(+.f32 (/.f32 -1/256 (pow.f32 u 4)) (/.f32 -1/16 (*.f32 u u)))
(neg.f32 (+.f32 (.f32 1/4096 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (*.f32 1/16 (/.f32 1 (pow.f32 u 2))))))
(neg.f32 (+.f32 (+.f32 (/.f32 1/16 (*.f32 u u)) (/.f32 1/256 (pow.f32 u 4))) (/.f32 1/4096 (pow.f32 u 6))))
(+.f32 (+.f32 (/.f32 -1/256 (pow.f32 u 4)) (/.f32 (/.f32 -1/16 u) u)) (/.f32 -1/4096 (pow.f32 u 6)))
(+.f32 (+.f32 (/.f32 -1/256 (pow.f32 u 4)) (/.f32 -1/16 (*.f32 u u))) (/.f32 -1/4096 (pow.f32 u 6)))
(neg.f32 (+.f32 (.f32 1/4096 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 1/256 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (.f32 1/65536 (/.f32 1 (pow.f32 u 8)))))))
(neg.f32 (+.f32 (/.f32 1/4096 (pow.f32 u 6)) (+.f32 (/.f32 1/256 (pow.f32 u 4)) (+.f32 (/.f32 1/16 (*.f32 u u)) (/.f32 1/65536 (pow.f32 u 8))))))
(-.f32 (/.f32 -1/4096 (pow.f32 u 6)) (+.f32 (/.f32 1/16 (*.f32 u u)) (+.f32 (/.f32 1/256 (pow.f32 u 4)) (/.f32 1/65536 (pow.f32 u 8)))))
(+.f32 (+.f32 (+.f32 (/.f32 -1/256 (pow.f32 u 4)) (/.f32 (/.f32 -1/16 u) u)) (/.f32 -1/4096 (pow.f32 u 6))) (/.f32 -1/65536 (pow.f32 u 8)))
(+.f32 (+.f32 (/.f32 -1/256 (pow.f32 u 4)) (/.f32 -1/16 (*.f32 u u))) (+.f32 (/.f32 -1/4096 (pow.f32 u 6)) (/.f32 -1/65536 (pow.f32 u 8))))

eval483.0ms (5%)

Compiler: Compiled 14401 to 10794 computations (25% saved)

prune338.0ms (3.5%)

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	720	7	727
Fresh	6	10	16
Picked	1	0	1
Done	2	8	10
Total	729	25	754

Error

Counts

754 → 25

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(fma.f32 (log1p.f32 (.f32 u 4)) s (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))
	0.3b	(+.f32 (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s) (.f32 (log1p.f32 (*.f32 u 4)) s))
✓	3.1b	(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
	2.9b	(exp.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))
▶	9.0b	(.f32 s (.f32 3 (*.f32 u 4/3)))
✓	9.0b	(.f32 4 (.f32 u s))
✓	4.7b	(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u 8/3)))))
	3.2b	(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
	3.3b	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (.f32 u (+.f32 -4 (.f32 u (+.f32 -8 (.f32 u -64/3)))))))))
	3.1b	(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 (.f32 u 64/3) 8)))))
▶	0.3b	(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
	3.2b	(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 0 (.f32 (.f32 u (*.f32 u s)) 8))))
	24.5b	(-.f32 (+.f32 1 (.f32 4 (.f32 u s))) 1)
✓	11.6b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
	9.0b	(pow.f32 (sqrt.f32 (.f32 s (.f32 u 4))) 2)
✓	9.0b	(.f32 (.f32 u 4) s)
▶	4.6b	(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
✓	10.9b	(.f32 s (neg.f32 (log.f32 (+.f32 (.f32 u -4) 1))))
▶	3.4b	(.f32 s (+.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 4 u))))
	4.7b	(.f32 (.f32 u (+.f32 4 (*.f32 u 8))) s)
	4.7b	(.f32 u (.f32 s (+.f32 4 (*.f32 u 8))))
	3.2b	(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (*.f32 u 64/9)))))))
✓	0.4b	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))))
✓	0.2b	(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
	1.3b	(.f32 s (exp.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))

Compiler

Compiled 571 to 429 computations (24.9% saved)

localize124.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (*.f32 u 4))
✓	0.1b	(log1p.f32 (.f32 (.f32 u u) -16))
✓	0.2b	(.f32 (neg.f32 (log1p.f32 (.f32 (*.f32 u u) -16))) s)
✓	0.2b	(fma.f32 (log1p.f32 (.f32 u 4)) s (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))

Compiler

Compiled 58 to 33 computations (43.1% saved)

series34.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	s	@	0	(fma.f32 (log1p.f32 (.f32 u 4)) s (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))
1.0ms	s	@	inf	(fma.f32 (log1p.f32 (.f32 u 4)) s (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))
1.0ms	u	@	0	(.f32 (neg.f32 (log1p.f32 (.f32 (*.f32 u u) -16))) s)
1.0ms	u	@	inf	(fma.f32 (log1p.f32 (.f32 u 4)) s (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))
1.0ms	s	@	-inf	(fma.f32 (log1p.f32 (.f32 u 4)) s (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))

rewrite178.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`prod-diff_binary32`
555×	`log-prod_binary32`
326×	`pow-prod-down_binary32`
290×	`pow2_binary32`
220×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	264	47
2	3082	47

Stop Event

1×	node limit

Counts

4 → 228

Calls

Call 1

Inputs
(fma.f32 (log1p.f32 (.f32 u 4)) s (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))
(.f32 (neg.f32 (log1p.f32 (.f32 (*.f32 u u) -16))) s)
(log1p.f32 (.f32 (.f32 u u) -16))
(log1p.f32 (*.f32 u 4))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 s (log1p.f32 (.f32 (.f32 u u) -16))) (.f32 (log1p.f32 (.f32 u 4)) s))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16)))) (fma.f32 (log1p.f32 (.f32 (.f32 u u) -16)) s (.f32 s (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16)))) (fma.f32 (neg.f32 s) (log1p.f32 (.f32 (.f32 u u) -16)) (.f32 s (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16)))) (fma.f32 -1 (.f32 s (log1p.f32 (.f32 (.f32 u u) -16))) (.f32 s (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16)))) (fma.f32 (.f32 s (log1p.f32 (.f32 (.f32 u u) -16))) 1 (.f32 s (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16)))) (fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (.f32 s (log1p.f32 (.f32 (.f32 u u) -16)))) 2)) (cbrt.f32 (.f32 s (log1p.f32 (.f32 (.f32 u u) -16)))) (.f32 s (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16)))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 s (log1p.f32 (.f32 (.f32 u u) -16))))) (pow.f32 (cbrt.f32 (.f32 s (log1p.f32 (.f32 (.f32 u u) -16)))) 2) (.f32 s (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16)))) (fma.f32 (neg.f32 (sqrt.f32 (.f32 s (log1p.f32 (.f32 (.f32 u u) -16))))) (sqrt.f32 (.f32 s (log1p.f32 (.f32 (.f32 u u) -16)))) (.f32 s (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log1p.f32 (.f32 u 4)) s) (.f32 s (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (log1p.f32 (.f32 u 4)) s) 1) (.f32 s (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (log1p.f32 (.f32 u 4)) s (neg.f32 (.f32 (neg.f32 s) (log1p.f32 (.f32 (.f32 u u) -16))))) (fma.f32 (neg.f32 (neg.f32 s)) (log1p.f32 (.f32 (.f32 u u) -16)) (.f32 (neg.f32 s) (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 s (log1p.f32 (.f32 u 4)) (neg.f32 (.f32 (neg.f32 s) (log1p.f32 (.f32 (.f32 u u) -16))))) (fma.f32 (neg.f32 (neg.f32 s)) (log1p.f32 (.f32 (.f32 u u) -16)) (.f32 (neg.f32 s) (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 1 (.f32 (log1p.f32 (.f32 u 4)) s) (neg.f32 (.f32 (neg.f32 s) (log1p.f32 (.f32 (.f32 u u) -16))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (.f32 (.f32 u u) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (.f32 u u) -16 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 (.f32 u u) -16 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (hypot.f32 1 (.f32 u (sqrt.f32 -16)))) (log.f32 (hypot.f32 1 (.f32 u (sqrt.f32 -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 (.f32 (.f32 u u) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (.f32 u (sqrt.f32 -16)) 6)) (log.f32 (+.f32 1 (-.f32 (.f32 256 (pow.f32 u 4)) (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (.f32 (.f32 u u) -16)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (.f32 256 (pow.f32 u 4)))) (log.f32 (-.f32 1 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (.f32 (.f32 u u) -16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (.f32 (.f32 u u) -16)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (.f32 (.f32 u u) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))) 2) (cbrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))) 2) (neg.f32 (cbrt.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))) (sqrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))) (neg.f32 (sqrt.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (log1p.f32 (.f32 (.f32 u u) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))) 2)) (cbrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 (.f32 u u) -16)))) (sqrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))) 2)) (cbrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 -1 (sqrt.f32 (log1p.f32 (.f32 (.f32 u u) -16)))) (sqrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 2) (.f32 0 (log1p.f32 (.f32 (.f32 u u) -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 2)) (log1p.f32 (.f32 (.f32 u u) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (.f32 (.f32 u u) -16))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (fma.f32 (.f32 u u) -16 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u u) -16)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (.f32 (.f32 u u) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 (.f32 u u) -16))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 (.f32 (.f32 u u) -16)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 (.f32 (.f32 u u) -16)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 (.f32 (*.f32 u u) -16)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u 4 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 u 4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 u 4 1))) (log.f32 (sqrt.f32 (fma.f32 u 4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (.f32 u 4) 3)) (log.f32 (+.f32 1 (-.f32 (.f32 (.f32 u u) 16) (.f32 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (.f32 u 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (.f32 (.f32 u u) 16))) (log.f32 (-.f32 1 (.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (.f32 u 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (.f32 u 4))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u 4))) 2) (cbrt.f32 (log1p.f32 (.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (.f32 u 4))) (sqrt.f32 (log1p.f32 (.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (.f32 u 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (.f32 u 4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (.f32 u 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (.f32 u 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (.f32 u 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (.f32 u 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (fma.f32 u 4 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (.f32 u 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 u 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 (.f32 u 4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 (.f32 u 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 (.f32 u 4)))) 2))))))

simplify98.0ms (1%)

Algorithm

1×	egg-herbie

Rules

617×	`fma-neg_binary32`
505×	`distribute-lft-out_binary32`
499×	`sub-neg_binary32`
386×	`+-commutative_binary32`
377×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	1809
1	591	1716
2	1870	1657
3	4566	1614

Stop Event

1×	node limit

Counts

300 → 328

Calls

Call 1

Inputs
(.f32 4 (.f32 s u))
(+.f32 (.f32 (+.f32 (.f32 -8 s) (.f32 16 s)) (pow.f32 u 2)) (.f32 4 (*.f32 s u)))
(+.f32 (.f32 (+.f32 (.f32 -8 s) (.f32 16 s)) (pow.f32 u 2)) (+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 4 (*.f32 s u))))
(+.f32 (.f32 (pow.f32 u 4) (+.f32 (.f32 -64 s) (.f32 128 s))) (+.f32 (.f32 (+.f32 (.f32 -8 s) (.f32 16 s)) (pow.f32 u 2)) (+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 4 (.f32 s u)))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u)))))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 1/16 (/.f32 s (pow.f32 u 2)))))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (*.f32 1/16 (/.f32 s (pow.f32 u 2))))))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 16 (.f32 s (pow.f32 u 2)))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (.f32 128 (.f32 s (pow.f32 u 4))))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 4096/3 (.f32 s (pow.f32 u 6))) (.f32 128 (.f32 s (pow.f32 u 4)))))
(+.f32 (.f32 16384 (.f32 s (pow.f32 u 8))) (+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 4096/3 (.f32 s (pow.f32 u 6))) (.f32 128 (.f32 s (pow.f32 u 4))))))
(.f32 -1 (.f32 s (+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u))))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (.f32 1/16 (/.f32 s (pow.f32 u 2))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (*.f32 1/512 (/.f32 s (pow.f32 u 4)))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/512 (/.f32 s (pow.f32 u 4))) (.f32 1/12288 (/.f32 s (pow.f32 u 6))))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (.f32 1/16 (/.f32 s (pow.f32 u 2))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (*.f32 1/512 (/.f32 s (pow.f32 u 4)))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/512 (/.f32 s (pow.f32 u 4))) (.f32 1/12288 (/.f32 s (pow.f32 u 6))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(*.f32 -16 (pow.f32 u 2))
(+.f32 (.f32 -128 (pow.f32 u 4)) (.f32 -16 (pow.f32 u 2)))
(+.f32 (.f32 -128 (pow.f32 u 4)) (+.f32 (.f32 -4096/3 (pow.f32 u 6)) (*.f32 -16 (pow.f32 u 2))))
(+.f32 (.f32 -16384 (pow.f32 u 8)) (+.f32 (.f32 -128 (pow.f32 u 4)) (+.f32 (.f32 -4096/3 (pow.f32 u 6)) (.f32 -16 (pow.f32 u 2)))))
(+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u))))
(-.f32 (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))) (.f32 1/16 (/.f32 1 (pow.f32 u 2))))
(-.f32 (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (*.f32 1/512 (/.f32 1 (pow.f32 u 4)))))
(-.f32 (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/512 (/.f32 1 (pow.f32 u 4))) (.f32 1/12288 (/.f32 1 (pow.f32 u 6))))))
(+.f32 (*.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16))
(-.f32 (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)) (.f32 1/16 (/.f32 1 (pow.f32 u 2))))
(-.f32 (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (*.f32 1/512 (/.f32 1 (pow.f32 u 4)))))
(-.f32 (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/512 (/.f32 1 (pow.f32 u 4))) (.f32 1/12288 (/.f32 1 (pow.f32 u 6))))))
(*.f32 4 u)
(+.f32 (.f32 -8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 -64 (pow.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 4)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 4))) (*.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 4) (.f32 1/192 (/.f32 1 (pow.f32 u 3)))))) (.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 -4)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 -4))) (*.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 -4) (.f32 1/192 (/.f32 1 (pow.f32 u 3)))))) (.f32 1/32 (/.f32 1 (pow.f32 u 2))))

Outputs
(.f32 4 (.f32 s u))
(.f32 u (.f32 4 s))
(.f32 s (.f32 4 u))
(+.f32 (.f32 (+.f32 (.f32 -8 s) (.f32 16 s)) (pow.f32 u 2)) (.f32 4 (*.f32 s u)))
(fma.f32 (.f32 s 8) (.f32 u u) (.f32 4 (.f32 s u)))
(fma.f32 (.f32 s 8) (.f32 u u) (.f32 u (.f32 4 s)))
(.f32 s (+.f32 (.f32 4 u) (.f32 (.f32 u u) 8)))
(.f32 (.f32 s u) (+.f32 (*.f32 u 8) 4))
(+.f32 (.f32 (+.f32 (.f32 -8 s) (.f32 16 s)) (pow.f32 u 2)) (+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 4 (*.f32 s u))))
(fma.f32 (.f32 s 8) (.f32 u u) (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 4 (*.f32 s u))))
(fma.f32 (.f32 s 8) (.f32 u u) (fma.f32 4 (.f32 s u) (.f32 s (*.f32 64/3 (pow.f32 u 3)))))
(fma.f32 (.f32 s 8) (.f32 u u) (.f32 s (fma.f32 4 u (.f32 64/3 (pow.f32 u 3)))))
(.f32 s (+.f32 (.f32 4 u) (.f32 (.f32 u u) (+.f32 (*.f32 u 64/3) 8))))
(+.f32 (.f32 (pow.f32 u 4) (+.f32 (.f32 -64 s) (.f32 128 s))) (+.f32 (.f32 (+.f32 (.f32 -8 s) (.f32 16 s)) (pow.f32 u 2)) (+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 4 (.f32 s u)))))
(fma.f32 (pow.f32 u 4) (.f32 s 64) (fma.f32 (.f32 s 8) (.f32 u u) (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 4 (.f32 s u)))))
(fma.f32 (pow.f32 u 4) (.f32 s 64) (fma.f32 (.f32 s 8) (.f32 u u) (fma.f32 4 (.f32 s u) (.f32 s (.f32 64/3 (pow.f32 u 3))))))
(fma.f32 (pow.f32 u 4) (.f32 s 64) (fma.f32 (.f32 s 8) (.f32 u u) (.f32 s (fma.f32 4 u (*.f32 64/3 (pow.f32 u 3))))))
(.f32 s (+.f32 (+.f32 (.f32 4 u) (.f32 (pow.f32 u 4) 64)) (.f32 (.f32 u u) (+.f32 (.f32 u 64/3) 8))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u)))))))
(fma.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (neg.f32 (.f32 s (+.f32 (log.f32 -16) (.f32 (neg.f32 (log.f32 u)) -2)))))
(-.f32 (.f32 s (+.f32 (log.f32 u) (log.f32 4))) (.f32 s (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16))))
(.f32 s (-.f32 (+.f32 (log.f32 u) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 2 (log.f32 u)))))
(.f32 s (+.f32 (+.f32 (log.f32 u) (log.f32 4)) (-.f32 (.f32 (log.f32 u) -2) (log.f32 -16))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (.f32 1/4 (/.f32 s u))))
(fma.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (fma.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 (neg.f32 (log.f32 u)) -2))) (/.f32 (*.f32 1/4 s) u)))
(fma.f32 s (+.f32 (log.f32 u) (log.f32 4)) (fma.f32 1/4 (/.f32 s u) (*.f32 (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16)) (neg.f32 s))))
(+.f32 (.f32 s (-.f32 (+.f32 (log.f32 u) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 2 (log.f32 u))))) (*.f32 1/4 (/.f32 s u)))
(fma.f32 s (+.f32 (log.f32 u) (log.f32 4)) (.f32 s (-.f32 (/.f32 1/4 u) (-.f32 (log.f32 -16) (.f32 (log.f32 u) -2)))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 1/16 (/.f32 s (pow.f32 u 2)))))))
(fma.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (fma.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 (neg.f32 (log.f32 u)) -2))) (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/4 (/.f32 s u) (/.f32 (.f32 1/16 s) (*.f32 u u))))))
(fma.f32 s (+.f32 (log.f32 u) (log.f32 4)) (-.f32 (fma.f32 -1/32 (/.f32 (/.f32 s u) u) (fma.f32 (/.f32 (/.f32 s u) u) 1/16 (.f32 1/4 (/.f32 s u)))) (.f32 s (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16)))))
(+.f32 (.f32 s (-.f32 (+.f32 (log.f32 u) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 2 (log.f32 u))))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 (/.f32 (/.f32 s u) u) 1/32)))
(fma.f32 s (+.f32 (log.f32 u) (log.f32 4)) (+.f32 (.f32 (/.f32 (/.f32 s u) u) 1/32) (.f32 s (-.f32 (/.f32 1/4 u) (-.f32 (log.f32 -16) (*.f32 (log.f32 u) -2))))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (*.f32 1/16 (/.f32 s (pow.f32 u 2))))))))
(fma.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (fma.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 (neg.f32 (log.f32 u)) -2))) (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 1/4 (/.f32 s u) (/.f32 (.f32 1/16 s) (*.f32 u u)))))))
(fma.f32 s (+.f32 (log.f32 u) (log.f32 4)) (-.f32 (fma.f32 -1/32 (/.f32 (/.f32 s u) u) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 (/.f32 (/.f32 s u) u) 1/16 (.f32 1/4 (/.f32 s u))))) (.f32 s (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16)))))
(+.f32 (.f32 s (-.f32 (+.f32 (log.f32 u) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 2 (log.f32 u))))) (+.f32 (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/192 (.f32 u u)))) (*.f32 (/.f32 (/.f32 s u) u) 1/32)))
(fma.f32 s (+.f32 (log.f32 u) (log.f32 4)) (+.f32 (.f32 (/.f32 (/.f32 s u) u) (+.f32 1/16 (+.f32 -1/32 (/.f32 1/192 u)))) (.f32 s (-.f32 (/.f32 1/4 u) (-.f32 (log.f32 -16) (*.f32 (log.f32 u) -2))))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))
(fma.f32 -1 (.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))) (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4))))
(-.f32 (.f32 s (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u)))) (.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))))
(*.f32 s (-.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))))
(fma.f32 -1 (.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))) (fma.f32 1/4 (/.f32 s u) (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4)))))
(-.f32 (fma.f32 s (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (.f32 1/4 (/.f32 s u))) (.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))))
(+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (-.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16)))))
(fma.f32 s (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (*.f32 s (-.f32 (/.f32 1/4 u) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16)))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))))))
(fma.f32 -1 (.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))) (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/4 (/.f32 s u) (fma.f32 1/16 (/.f32 s (.f32 u u)) (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4)))))))
(-.f32 (fma.f32 -1/32 (/.f32 (/.f32 s u) u) (fma.f32 1/4 (/.f32 s u) (fma.f32 s (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (.f32 (/.f32 (/.f32 s u) u) 1/16)))) (.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))))
(+.f32 (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 (/.f32 (/.f32 s u) u) 1/32)) (*.f32 s (-.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16)))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))))))
(fma.f32 -1 (.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))) (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 1/4 (/.f32 s u) (fma.f32 1/16 (/.f32 s (.f32 u u)) (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4))))))))
(-.f32 (fma.f32 -1/32 (/.f32 (/.f32 s u) u) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 1/4 (/.f32 s u) (fma.f32 s (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (.f32 (/.f32 (/.f32 s u) u) 1/16))))) (.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))))
(+.f32 (+.f32 (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/192 (.f32 u u)))) (.f32 (/.f32 (/.f32 s u) u) 1/32)) (.f32 s (-.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16)))))
(+.f32 (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 (/.f32 (/.f32 s u) u) (+.f32 1/16 (+.f32 -1/32 (/.f32 1/192 u))))) (*.f32 s (-.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16)))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16)))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 (.f32 s 16) (*.f32 u u))
(.f32 s (.f32 16 (*.f32 u u)))
(.f32 s (.f32 u (*.f32 u 16)))
(.f32 u (.f32 u (*.f32 s 16)))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (.f32 128 (.f32 s (pow.f32 u 4))))
(fma.f32 16 (.f32 s (.f32 u u)) (.f32 128 (.f32 s (pow.f32 u 4))))
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(.f32 u (+.f32 4 (.f32 u -8)))
(+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(fma.f32 -8 (.f32 u u) (fma.f32 64/3 (pow.f32 u 3) (.f32 4 u)))
(fma.f32 -8 (.f32 u u) (fma.f32 4 u (.f32 64/3 (pow.f32 u 3))))
(.f32 u (+.f32 4 (.f32 u (+.f32 -8 (*.f32 u 64/3)))))
(+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 -64 (pow.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(fma.f32 -8 (.f32 u u) (fma.f32 -64 (pow.f32 u 4) (fma.f32 64/3 (pow.f32 u 3) (.f32 4 u))))
(fma.f32 -8 (.f32 u u) (fma.f32 (pow.f32 u 4) -64 (fma.f32 4 u (.f32 64/3 (pow.f32 u 3)))))
(fma.f32 -8 (.f32 u u) (fma.f32 (pow.f32 u 4) -64 (fma.f32 64/3 (pow.f32 u 3) (.f32 4 u))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))
(fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4))
(+.f32 (log.f32 u) (log.f32 4))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 4)))
(fma.f32 -1 (neg.f32 (log.f32 u)) (+.f32 (log.f32 4) (/.f32 1/4 u)))
(+.f32 (log.f32 u) (+.f32 (log.f32 4) (/.f32 1/4 u)))
(+.f32 (log.f32 4) (+.f32 (log.f32 u) (/.f32 1/4 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 4))) (*.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (+.f32 (log.f32 4) (/.f32 1/4 u))) (/.f32 1/32 (*.f32 u u)))
(+.f32 (log.f32 u) (+.f32 (log.f32 4) (-.f32 (/.f32 1/4 u) (/.f32 (/.f32 1/32 u) u))))
(+.f32 (log.f32 4) (-.f32 (+.f32 (log.f32 u) (/.f32 1/4 u)) (/.f32 (/.f32 1/32 u) u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 4) (.f32 1/192 (/.f32 1 (pow.f32 u 3)))))) (.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (+.f32 (/.f32 1/4 u) (+.f32 (log.f32 4) (/.f32 1/192 (pow.f32 u 3))))) (/.f32 1/32 (*.f32 u u)))
(+.f32 (log.f32 u) (+.f32 (+.f32 (log.f32 4) (/.f32 1/4 u)) (-.f32 (/.f32 1/192 (pow.f32 u 3)) (/.f32 (/.f32 1/32 u) u))))
(+.f32 (+.f32 (log.f32 u) (/.f32 1/4 u)) (+.f32 (log.f32 4) (-.f32 (/.f32 1/192 (pow.f32 u 3)) (/.f32 (/.f32 1/32 u) u))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))
(fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4))
(-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 -4)))
(fma.f32 -1 (log.f32 (/.f32 -1 u)) (+.f32 (log.f32 -4) (/.f32 1/4 u)))
(+.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (/.f32 1/4 u))
(+.f32 (log.f32 -4) (-.f32 (/.f32 1/4 u) (log.f32 (/.f32 -1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 -4))) (*.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (+.f32 (log.f32 -4) (/.f32 1/4 u))) (/.f32 1/32 (*.f32 u u)))
(+.f32 (+.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (/.f32 1/4 u)) (/.f32 -1/32 (*.f32 u u)))
(+.f32 (log.f32 -4) (-.f32 (-.f32 (/.f32 1/4 u) (log.f32 (/.f32 -1 u))) (/.f32 (/.f32 1/32 u) u)))
(+.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 1/4 u) (/.f32 -1/32 (*.f32 u u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 -4) (.f32 1/192 (/.f32 1 (pow.f32 u 3)))))) (.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (+.f32 (/.f32 1/4 u) (+.f32 (log.f32 -4) (/.f32 1/192 (pow.f32 u 3))))) (/.f32 1/32 (*.f32 u u)))
(+.f32 (+.f32 (+.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (/.f32 1/4 u)) (/.f32 1/192 (pow.f32 u 3))) (/.f32 -1/32 (*.f32 u u)))
(+.f32 (-.f32 (/.f32 1/4 u) (log.f32 (/.f32 -1 u))) (+.f32 (log.f32 -4) (-.f32 (/.f32 1/192 (pow.f32 u 3)) (/.f32 (/.f32 1/32 u) u))))
(+.f32 (+.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (/.f32 1/4 u)) (-.f32 (/.f32 1/192 (pow.f32 u 3)) (/.f32 (/.f32 1/32 u) u)))

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 3 (.f32 u 4/3))
✓	0.4b	(*.f32 u 4/3)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u	@	0	(*.f32 u 4/3)
0.0ms	u	@	inf	(*.f32 u 4/3)
0.0ms	u	@	-inf	(*.f32 u 4/3)
0.0ms	u	@	-inf	(.f32 3 (.f32 u 4/3))
0.0ms	u	@	inf	(.f32 3 (.f32 u 4/3))

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`pow1_binary32`
517×	`add-sqr-sqrt_binary32`
491×	`add-log-exp_binary32`
491×	`log1p-expm1-u_binary32`
491×	`expm1-log1p-u_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	123	8
2	1338	8

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(*.f32 u 4/3)
(.f32 3 (.f32 u 4/3))

Outputs

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	96
1	8	96

Stop Event

1×

saturated

Counts

46 → 25

Calls

Call 1

Inputs
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4 u)
(*.f32 4 u)
(*.f32 4 u)
(*.f32 4 u)
(*.f32 4 u)
(*.f32 4 u)
(*.f32 4 u)
(*.f32 4 u)
(*.f32 4 u)
(*.f32 4 u)
(*.f32 4 u)
(*.f32 4 u)

Outputs
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4/3 u)
(*.f32 4 u)
(*.f32 u 4)
(*.f32 4 u)
(*.f32 u 4)
(*.f32 4 u)
(*.f32 u 4)
(*.f32 4 u)
(*.f32 u 4)
(*.f32 4 u)
(*.f32 u 4)
(*.f32 4 u)
(*.f32 u 4)
(*.f32 4 u)
(*.f32 u 4)
(*.f32 4 u)
(*.f32 u 4)
(*.f32 4 u)
(*.f32 u 4)
(*.f32 4 u)
(*.f32 u 4)
(*.f32 4 u)
(*.f32 u 4)
(*.f32 4 u)
(*.f32 u 4)

localize36.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (.f32 u 4) (.f32 8 (*.f32 u u)))
✓	0.2b	(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series32.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	u	@	inf	(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
1.0ms	s	@	0	(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
1.0ms	s	@	inf	(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
1.0ms	u	@	-inf	(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
1.0ms	u	@	0	(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`log-prod_binary32`
401×	`fma-def_binary32`
394×	`exp-prod_binary32`
390×	`pow-prod-down_binary32`
269×	`pow2_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	219	23
2	2942	19

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

Inputs
(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
(+.f32 (.f32 u 4) (.f32 8 (*.f32 u u)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 s (*.f32 u 4)) (*.f32 8 (*.f32 (*.f32 u u) s)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 8 (*.f32 (*.f32 u u) s)) (*.f32 s (*.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 s (*.f32 u (fma.f32 u 8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 s (*.f32 u 4)) 1) (*.f32 (*.f32 8 (*.f32 (*.f32 u u) s)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 s) (*.f32 u (fma.f32 u 8 4)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 s) (*.f32 u (fma.f32 u 8 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 s) (*.f32 u (fma.f32 u 8 4))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 s) (*.f32 u (fma.f32 u 8 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 s (*.f32 u 4)) 3) (*.f32 (pow.f32 s 3) (*.f32 512 (pow.f32 u 6)))) (+.f32 (pow.f32 (*.f32 s (*.f32 u 4)) 2) (-.f32 (pow.f32 (*.f32 8 (*.f32 (*.f32 u u) s)) 2) (*.f32 (*.f32 s (*.f32 u 4)) (*.f32 8 (*.f32 (*.f32 u u) s))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (*.f32 s (*.f32 u 4)) 2) (pow.f32 (*.f32 8 (*.f32 (*.f32 u u) s)) 2)) (-.f32 (*.f32 s (*.f32 u 4)) (*.f32 8 (*.f32 (*.f32 u u) s))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 64 (pow.f32 u 3) (*.f32 512 (pow.f32 u 6))) s) (-.f32 (fma.f32 (*.f32 u u) 16 (*.f32 64 (pow.f32 u 4))) (*.f32 (*.f32 u 4) (*.f32 u (*.f32 u 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (*.f32 u u) 16) (*.f32 64 (pow.f32 u 4))) s) (*.f32 u (-.f32 4 (*.f32 u 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 s (fma.f32 64 (pow.f32 u 3) (*.f32 512 (pow.f32 u 6)))) (-.f32 (fma.f32 (*.f32 u u) 16 (*.f32 64 (pow.f32 u 4))) (*.f32 (*.f32 u 4) (*.f32 u (*.f32 u 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 s (-.f32 (*.f32 (*.f32 u u) 16) (*.f32 64 (pow.f32 u 4)))) (*.f32 u (-.f32 4 (*.f32 u 8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4))))) 2)) (cbrt.f32 (log.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4)))))) (sqrt.f32 (log.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 s) (*.f32 u (fma.f32 u 8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 s (*.f32 u (fma.f32 u 8 4)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 s (*.f32 u 4) (*.f32 8 (*.f32 (*.f32 u u) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 s (*.f32 u (*.f32 u 8)) (*.f32 s (*.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u (*.f32 4 s) (*.f32 8 (*.f32 (*.f32 u u) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 4 (*.f32 u s) (*.f32 8 (*.f32 (*.f32 u u) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u 4) s (*.f32 8 (*.f32 (*.f32 u u) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 8 (*.f32 (*.f32 u u) s) (*.f32 s (*.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u u) (*.f32 8 s) (*.f32 s (*.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (*.f32 u 8)) s (*.f32 s (*.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 s (*.f32 u 4)) (*.f32 8 (*.f32 (*.f32 u u) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 8 (*.f32 (*.f32 u u) s)) (*.f32 s (*.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 64 (pow.f32 u 4))) (*.f32 (*.f32 (pow.f32 (cbrt.f32 u) 2) 2) s) (*.f32 s (*.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 (*.f32 u u) 16)) (*.f32 (cbrt.f32 (*.f32 u 4)) s) (*.f32 8 (*.f32 (*.f32 u u) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 s s)) (*.f32 (cbrt.f32 s) (*.f32 u (*.f32 u 8))) (*.f32 s (*.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 s s)) (*.f32 (cbrt.f32 s) (*.f32 u 4)) (*.f32 8 (*.f32 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simplify216.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1080×	`sqr-pow_binary32`
630×	`fabs-mul_binary32`
612×	`pow-sqr_binary32`
610×	`cube-prod_binary32`
487×	`fma-def_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	438
1	42	438
2	79	408
3	153	348
4	418	348
5	1279	348
6	1933	348
7	2560	348
8	2670	348
9	2803	348
10	2972	348
11	3213	348
12	3528	348
13	3898	348
14	4353	348
15	4934	348
16	5644	348
17	6504	348
18	6928	348
19	7244	348
20	7550	348
21	7628	348
22	7664	348

Stop Event

1×	node limit

Counts

178 → 155

Calls

Call 1

Inputs
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 4 (.f32 s u))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(.f32 8 (.f32 s (pow.f32 u 2)))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(.f32 8 (.f32 s (pow.f32 u 2)))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(*.f32 4 u)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(*.f32 8 (pow.f32 u 2))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(*.f32 8 (pow.f32 u 2))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))

Outputs
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (*.f32 4 u)))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(.f32 4 (.f32 s u))
(.f32 s (.f32 u 4))
(.f32 u (.f32 s 4))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(.f32 8 (.f32 s (pow.f32 u 2)))
(.f32 8 (.f32 s (*.f32 u u)))
(.f32 s (.f32 8 (*.f32 u u)))
(.f32 (.f32 u u) (*.f32 s 8))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(.f32 8 (.f32 s (pow.f32 u 2)))
(.f32 8 (.f32 s (*.f32 u u)))
(.f32 s (.f32 8 (*.f32 u u)))
(.f32 (.f32 u u) (*.f32 s 8))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(.f32 s (fma.f32 8 (.f32 u u) (*.f32 u 4)))
(.f32 s (.f32 u (+.f32 (*.f32 8 u) 4)))
(.f32 s (.f32 u (fma.f32 8 u 4)))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(*.f32 4 u)
(*.f32 u 4)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 8 u) 4))
(*.f32 u (fma.f32 8 u 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 8 u) 4))
(*.f32 u (fma.f32 8 u 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 8 u) 4))
(*.f32 u (fma.f32 8 u 4))
(*.f32 8 (pow.f32 u 2))
(.f32 8 (.f32 u u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 8 u) 4))
(*.f32 u (fma.f32 8 u 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 8 u) 4))
(*.f32 u (fma.f32 8 u 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 8 u) 4))
(*.f32 u (fma.f32 8 u 4))
(*.f32 8 (pow.f32 u 2))
(.f32 8 (.f32 u u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 8 u) 4))
(*.f32 u (fma.f32 8 u 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 8 u) 4))
(*.f32 u (fma.f32 8 u 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 u 4))
(.f32 u (+.f32 (.f32 8 u) 4))
(*.f32 u (fma.f32 8 u 4))

localize44.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (*.f32 4 u))
✓	0.2b	(.f32 s (+.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 4 u))))
✓	0.3b	(+.f32 (.f32 16 (.f32 u u)) (log1p.f32 (*.f32 4 u)))

Compiler

Compiled 43 to 25 computations (41.9% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	s	@	-inf	(.f32 s (+.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 4 u))))
1.0ms	s	@	0	(.f32 s (+.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 4 u))))
1.0ms	s	@	inf	(.f32 s (+.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 4 u))))
0.0ms	u	@	inf	(.f32 s (+.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 4 u))))
0.0ms	u	@	0	(+.f32 (.f32 16 (.f32 u u)) (log1p.f32 (*.f32 4 u)))

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`log-prod_binary32`
423×	`pow-prod-down_binary32`
377×	`fma-def_binary32`
283×	`pow2_binary32`
205×	`fma-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	236	35
2	3085	35

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

Inputs
(+.f32 (.f32 16 (.f32 u u)) (log1p.f32 (*.f32 4 u)))
(.f32 s (+.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 4 u))))
(log1p.f32 (*.f32 4 u))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 16 (*.f32 u u) (log1p.f32 (*.f32 u 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 256 (pow.f32 u 4)) (-.f32 (pow.f32 (*.f32 u 4) 2) (log1p.f32 (*.f32 u 4)))) (/.f32 (pow.f32 (log1p.f32 (*.f32 u 4)) 2) (-.f32 (pow.f32 (*.f32 u 4) 2) (log1p.f32 (*.f32 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 16 (*.f32 u u) (log1p.f32 (*.f32 u 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 16 (*.f32 u u) (log1p.f32 (*.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 16 (*.f32 u u) (log1p.f32 (*.f32 u 4)))) (pow.f32 (cbrt.f32 (fma.f32 16 (*.f32 u u) (log1p.f32 (*.f32 u 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 16 (*.f32 u u) (log1p.f32 (*.f32 u 4)))) 2) (cbrt.f32 (fma.f32 16 (*.f32 u u) (log1p.f32 (*.f32 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (hypot.f32 (sqrt.f32 (log1p.f32 (*.f32 u 4))) (*.f32 u 4)) (hypot.f32 (sqrt.f32 (log1p.f32 (*.f32 u 4))) (*.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 4096 (pow.f32 u 6) (pow.f32 (log1p.f32 (*.f32 u 4)) 3)) (/.f32 1 (fma.f32 (log1p.f32 (*.f32 u 4)) (-.f32 (log1p.f32 (*.f32 u 4)) (pow.f32 (*.f32 u 4) 2)) (*.f32 256 (pow.f32 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 256 (pow.f32 u 4)) (pow.f32 (log1p.f32 (*.f32 u 4)) 2)) (/.f32 1 (-.f32 (pow.f32 (*.f32 u 4) 2) (log1p.f32 (*.f32 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 (log1p.f32 (*.f32 u 4)) (-.f32 (log1p.f32 (*.f32 u 4)) (pow.f32 (*.f32 u 4) 2)) (*.f32 256 (pow.f32 u 4))) (fma.f32 4096 (pow.f32 u 6) (pow.f32 (log1p.f32 (*.f32 u 4)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (pow.f32 (*.f32 u 4) 2) (log1p.f32 (*.f32 u 4))) (-.f32 (*.f32 256 (pow.f32 u 4)) (pow.f32 (log1p.f32 (*.f32 u 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 4096 (pow.f32 u 6) (pow.f32 (log1p.f32 (*.f32 u 4)) 3)) (fma.f32 (log1p.f32 (*.f32 u 4)) (-.f32 (log1p.f32 (*.f32 u 4)) (pow.f32 (*.f32 u 4) 2)) (*.f32 256 (pow.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 4096 (pow.f32 u 6) (pow.f32 (log1p.f32 (*.f32 u 4)) 3)) (+.f32 (pow.f32 (log1p.f32 (*.f32 u 4)) 2) (-.f32 (*.f32 256 (pow.f32 u 4)) (*.f32 (pow.f32 (*.f32 u 4) 2) (log1p.f32 (*.f32 u 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 256 (pow.f32 u 4)) (pow.f32 (log1p.f32 (*.f32 u 4)) 2)) (-.f32 (pow.f32 (*.f32 u 4) 2) (log1p.f32 (*.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (fma.f32 4096 (pow.f32 u 6) (pow.f32 (log1p.f32 (*.f32 u 4)) 3))) (neg.f32 (fma.f32 (log1p.f32 (*.f32 u 4)) (-.f32 (log1p.f32 (*.f32 u 4)) (pow.f32 (*.f32 u 4) 2)) (*.f32 256 (pow.f32 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (*.f32 256 (pow.f32 u 4)) (pow.f32 (log1p.f32 (*.f32 u 4)) 2))) (neg.f32 (-.f32 (pow.f32 (*.f32 u 4) 2) (log1p.f32 (*.f32 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u 4)) 2) (*.f32 256 (pow.f32 u 4))) (-.f32 (log1p.f32 (*.f32 u 4)) (pow.f32 (*.f32 u 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 16 (*.f32 u u) (log1p.f32 (*.f32 u 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 16 (*.f32 u u) (log1p.f32 (*.f32 u 4))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 16 (*.f32 u u) (log1p.f32 (*.f32 u 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 16 (*.f32 u u) (log1p.f32 (*.f32 u 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 (sqrt.f32 (log1p.f32 (*.f32 u 4))) (*.f32 u 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 (log1p.f32 (*.f32 u 4)) (-.f32 (log1p.f32 (*.f32 u 4)) (pow.f32 (*.f32 u 4) 2)) (*.f32 256 (pow.f32 u 4))) (fma.f32 4096 (pow.f32 u 6) (pow.f32 (log1p.f32 (*.f32 u 4)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (pow.f32 (*.f32 u 4) 2) (log1p.f32 (*.f32 u 4))) (-.f32 (*.f32 256 (pow.f32 u 4)) (pow.f32 (log1p.f32 (*.f32 u 4)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 16 (*.f32 u u) (log1p.f32 (*.f32 u 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 16 (*.f32 u u) (log1p.f32 (*.f32 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 16 (*.f32 u u) (log1p.f32 (*.f32 u 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 u 4) 2))) (fma.f32 u 4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (fma.f32 u 4 1) (+.f32 1 (expm1.f32 (pow.f32 (*.f32 u 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 16 (*.f32 u u) (log1p.f32 (*.f32 u 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (*.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u 4 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 u 4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 u 4 1))) (log.f32 (sqrt.f32 (fma.f32 u 4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (*.f32 u 4) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (*.f32 u 4) 2) (*.f32 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 u 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (*.f32 u 4) 2))) (log.f32 (-.f32 1 (*.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 u 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 u 4))) (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u 4)) 2)) (cbrt.f32 (log1p.f32 (*.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 u 4))) (sqrt.f32 (log1p.f32 (*.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 u 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 u 4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 u 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 u 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 u 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (fma.f32 u 4 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 u 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (*.f32 u 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 (*.f32 u 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (log1p.f32 (*.f32 u 4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 u 4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 u 4))) 3) 1/3))))))

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

687×	`fma-def_binary32`
561×	`associate-l_binary32`
434×	`+-commutative_binary32`
379×	`associate-+l-_binary32`
346×	`associate-+l+_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	960
1	345	920
2	973	879
3	3077	865
4	7748	865

Stop Event

1×	node limit

Counts

202 → 222

Calls

Call 1

Inputs
(*.f32 4 u)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 -64 (pow.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(*.f32 16 (pow.f32 u 2))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (log.f32 4) (*.f32 1/4 (/.f32 1 u)))))
(-.f32 (+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (log.f32 4) (.f32 1/4 (/.f32 1 u))))) (.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(*.f32 16 (pow.f32 u 2))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (*.f32 1/4 (/.f32 1 u)) (log.f32 -4))))
(-.f32 (+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 -4)))) (.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (*.f32 16 (pow.f32 u 2))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (*.f32 16 (pow.f32 u 2))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (*.f32 16 (pow.f32 u 2))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (*.f32 16 (pow.f32 u 2))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 4 (.f32 s u))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 -64 (.f32 s (pow.f32 u 4))) (.f32 8 (.f32 s (pow.f32 u 2))))))
(.f32 16 (.f32 s (pow.f32 u 2)))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (.f32 16 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (.f32 1/4 (/.f32 s u)))))
(.f32 16 (.f32 s (pow.f32 u 2)))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))))
(*.f32 4 u)
(+.f32 (.f32 -8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 -64 (pow.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 4)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 4))) (*.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 4) (.f32 1/192 (/.f32 1 (pow.f32 u 3)))))) (.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 -4)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 -4))) (*.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 -4) (.f32 1/192 (/.f32 1 (pow.f32 u 3)))))) (.f32 1/32 (/.f32 1 (pow.f32 u 2))))

Outputs
(*.f32 4 u)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 4 u))
(fma.f32 4 u (.f32 8 (.f32 u u)))
(.f32 u (+.f32 4 (.f32 u 8)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(fma.f32 8 (.f32 u u) (fma.f32 64/3 (pow.f32 u 3) (.f32 4 u)))
(fma.f32 8 (.f32 u u) (fma.f32 4 u (.f32 64/3 (pow.f32 u 3))))
(fma.f32 4 u (.f32 (.f32 u u) (+.f32 8 (*.f32 u 64/3))))
(.f32 u (+.f32 (.f32 u (+.f32 8 (*.f32 u 64/3))) 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 -64 (pow.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(fma.f32 8 (.f32 u u) (fma.f32 -64 (pow.f32 u 4) (fma.f32 64/3 (pow.f32 u 3) (.f32 4 u))))
(fma.f32 8 (.f32 u u) (fma.f32 -64 (pow.f32 u 4) (fma.f32 4 u (.f32 64/3 (pow.f32 u 3)))))
(fma.f32 -64 (pow.f32 u 4) (fma.f32 4 u (.f32 (.f32 u u) (+.f32 8 (*.f32 u 64/3)))))
(fma.f32 -64 (pow.f32 u 4) (.f32 u (+.f32 (.f32 u (+.f32 8 (*.f32 u 64/3))) 4)))
(*.f32 16 (pow.f32 u 2))
(.f32 (.f32 u u) 16)
(.f32 u (.f32 u 16))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)))
(fma.f32 16 (*.f32 u u) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)))
(+.f32 (log.f32 4) (fma.f32 (*.f32 u u) 16 (log.f32 u)))
(+.f32 (log.f32 4) (fma.f32 u (*.f32 u 16) (log.f32 u)))
(+.f32 (log.f32 u) (fma.f32 u (*.f32 u 16) (log.f32 4)))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (log.f32 4) (*.f32 1/4 (/.f32 1 u)))))
(fma.f32 16 (*.f32 u u) (+.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (/.f32 1/4 u)))
(fma.f32 (*.f32 u u) 16 (+.f32 (log.f32 u) (+.f32 (log.f32 4) (/.f32 1/4 u))))
(+.f32 (log.f32 4) (+.f32 (/.f32 1/4 u) (fma.f32 u (*.f32 u 16) (log.f32 u))))
(+.f32 (log.f32 u) (+.f32 (/.f32 1/4 u) (fma.f32 u (*.f32 u 16) (log.f32 4))))
(-.f32 (+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (log.f32 4) (.f32 1/4 (/.f32 1 u))))) (.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(-.f32 (fma.f32 16 (.f32 u u) (+.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (/.f32 1/4 u))) (/.f32 1/32 (.f32 u u)))
(+.f32 (fma.f32 (.f32 u u) 16 (+.f32 (log.f32 u) (+.f32 (log.f32 4) (/.f32 1/4 u)))) (/.f32 -1/32 (.f32 u u)))
(+.f32 (log.f32 u) (+.f32 (+.f32 (log.f32 4) (/.f32 1/4 u)) (fma.f32 (.f32 u u) 16 (/.f32 -1/32 (.f32 u u)))))
(+.f32 (log.f32 u) (+.f32 (/.f32 -1/32 (.f32 u u)) (+.f32 (/.f32 1/4 u) (fma.f32 u (.f32 u 16) (log.f32 4)))))
(*.f32 16 (pow.f32 u 2))
(.f32 (.f32 u u) 16)
(.f32 u (.f32 u 16))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))
(fma.f32 16 (*.f32 u u) (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4)))
(fma.f32 (*.f32 u u) 16 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))))
(-.f32 (fma.f32 u (*.f32 u 16) (log.f32 -4)) (log.f32 (/.f32 -1 u)))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (*.f32 1/4 (/.f32 1 u)) (log.f32 -4))))
(fma.f32 16 (*.f32 u u) (fma.f32 -1 (log.f32 (/.f32 -1 u)) (+.f32 (/.f32 1/4 u) (log.f32 -4))))
(fma.f32 (*.f32 u u) 16 (-.f32 (+.f32 (/.f32 1/4 u) (log.f32 -4)) (log.f32 (/.f32 -1 u))))
(+.f32 (/.f32 1/4 u) (-.f32 (fma.f32 u (*.f32 u 16) (log.f32 -4)) (log.f32 (/.f32 -1 u))))
(-.f32 (/.f32 1/4 u) (-.f32 (log.f32 (/.f32 -1 u)) (fma.f32 u (*.f32 u 16) (log.f32 -4))))
(-.f32 (+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 -4)))) (.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(-.f32 (fma.f32 16 (.f32 u u) (fma.f32 -1 (log.f32 (/.f32 -1 u)) (+.f32 (/.f32 1/4 u) (log.f32 -4)))) (/.f32 1/32 (.f32 u u)))
(+.f32 (fma.f32 (.f32 u u) 16 (-.f32 (+.f32 (/.f32 1/4 u) (log.f32 -4)) (log.f32 (/.f32 -1 u)))) (/.f32 -1/32 (.f32 u u)))
(+.f32 (log.f32 -4) (+.f32 (-.f32 (/.f32 1/4 u) (log.f32 (/.f32 -1 u))) (fma.f32 (.f32 u u) 16 (/.f32 -1/32 (.f32 u u)))))
(+.f32 (-.f32 (/.f32 1/4 u) (-.f32 (log.f32 (/.f32 -1 u)) (fma.f32 u (.f32 u 16) (log.f32 -4)))) (/.f32 -1/32 (.f32 u u)))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 (.f32 u u) 16 (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 u (.f32 u 16) (log1p.f32 (*.f32 4 u))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 (.f32 u u) 16 (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 u (.f32 u 16) (log1p.f32 (*.f32 4 u))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 (.f32 u u) 16 (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 u (.f32 u 16) (log1p.f32 (*.f32 4 u))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 (.f32 u u) 16 (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 u (.f32 u 16) (log1p.f32 (*.f32 4 u))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (*.f32 16 (pow.f32 u 2))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 (.f32 u u) 16 (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 u (.f32 u 16) (log1p.f32 (*.f32 4 u))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (*.f32 16 (pow.f32 u 2))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 (.f32 u u) 16 (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 u (.f32 u 16) (log1p.f32 (*.f32 4 u))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (*.f32 16 (pow.f32 u 2))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 (.f32 u u) 16 (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 u (.f32 u 16) (log1p.f32 (*.f32 4 u))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (*.f32 16 (pow.f32 u 2))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 (.f32 u u) 16 (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 u (.f32 u 16) (log1p.f32 (*.f32 4 u))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 (.f32 u u) 16 (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 u (.f32 u 16) (log1p.f32 (*.f32 4 u))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 (.f32 u u) 16 (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 u (.f32 u 16) (log1p.f32 (*.f32 4 u))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 (.f32 u u) 16 (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 u (.f32 u 16) (log1p.f32 (*.f32 4 u))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 (.f32 u u) 16 (log1p.f32 (*.f32 4 u))))
(.f32 s (fma.f32 u (.f32 u 16) (log1p.f32 (*.f32 4 u))))
(.f32 4 (.f32 s u))
(.f32 4 (.f32 u s))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(fma.f32 4 (.f32 u s) (.f32 (.f32 8 s) (.f32 u u)))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 u (.f32 u s))))
(.f32 s (.f32 u (+.f32 4 (*.f32 u 8))))
(.f32 (.f32 u (+.f32 4 (*.f32 u 8))) s)
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 (.f32 8 s) (*.f32 u u))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 u (*.f32 u s)))))
(fma.f32 4 (.f32 u s) (.f32 s (.f32 (.f32 u u) (+.f32 8 (*.f32 u 64/3)))))
(.f32 s (.f32 u (+.f32 (.f32 u (+.f32 8 (.f32 u 64/3))) 4)))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 -64 (.f32 s (pow.f32 u 4))) (.f32 8 (.f32 s (pow.f32 u 2))))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (fma.f32 -64 (.f32 (pow.f32 u 4) s) (.f32 (.f32 8 s) (.f32 u u)))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 u (.f32 u s)) (.f32 -64 (.f32 (pow.f32 u 4) s)))))
(+.f32 (.f32 s (fma.f32 4 u (.f32 -64 (pow.f32 u 4)))) (.f32 s (.f32 (.f32 u u) (+.f32 8 (.f32 u 64/3)))))
(.f32 s (fma.f32 -64 (pow.f32 u 4) (.f32 u (+.f32 (.f32 u (+.f32 8 (.f32 u 64/3))) 4))))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 (*.f32 u u) s))
(.f32 16 (.f32 u (*.f32 u s)))
(.f32 u (.f32 16 (*.f32 u s)))
(.f32 u (.f32 u (*.f32 16 s)))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (.f32 16 (.f32 s (pow.f32 u 2))))
(fma.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (.f32 16 (.f32 (*.f32 u u) s)))
(fma.f32 16 (.f32 u (.f32 u s)) (*.f32 (+.f32 (log.f32 u) (log.f32 4)) s))
(.f32 s (+.f32 (log.f32 4) (fma.f32 u (.f32 u 16) (log.f32 u))))
(.f32 (+.f32 (log.f32 u) (fma.f32 u (.f32 u 16) (log.f32 4))) s)
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (fma.f32 16 (.f32 (.f32 u u) s) (*.f32 1/4 (/.f32 s u))))
(fma.f32 (+.f32 (log.f32 u) (log.f32 4)) s (fma.f32 16 (.f32 u (.f32 u s)) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/4 (/.f32 s u) (.f32 s (+.f32 (log.f32 4) (fma.f32 u (.f32 u 16) (log.f32 u)))))
(fma.f32 1/4 (/.f32 s u) (.f32 (+.f32 (log.f32 u) (fma.f32 u (.f32 u 16) (log.f32 4))) s))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (.f32 1/4 (/.f32 s u)))))
(fma.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (fma.f32 16 (.f32 (.f32 u u) s) (fma.f32 -1/32 (/.f32 s (.f32 u u)) (.f32 1/4 (/.f32 s u)))))
(fma.f32 (+.f32 (log.f32 u) (log.f32 4)) s (fma.f32 16 (.f32 u (.f32 u s)) (fma.f32 1/4 (/.f32 s u) (/.f32 -1/32 (/.f32 (*.f32 u u) s)))))
(+.f32 (.f32 s (+.f32 (log.f32 4) (fma.f32 u (.f32 u 16) (log.f32 u)))) (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 -1/32 u))))
(+.f32 (.f32 (+.f32 (log.f32 u) (fma.f32 u (.f32 u 16) (log.f32 4))) s) (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 -1/32 u))))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 (*.f32 u u) s))
(.f32 16 (.f32 u (*.f32 u s)))
(.f32 u (.f32 16 (*.f32 u s)))
(.f32 u (.f32 u (*.f32 16 s)))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))
(fma.f32 16 (.f32 (.f32 u u) s) (*.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4)) s))
(fma.f32 16 (.f32 u (.f32 u s)) (*.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) s))
(.f32 s (-.f32 (fma.f32 u (.f32 u 16) (log.f32 -4)) (log.f32 (/.f32 -1 u))))
(.f32 (-.f32 (fma.f32 u (.f32 u 16) (log.f32 -4)) (log.f32 (/.f32 -1 u))) s)
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))))
(fma.f32 16 (.f32 (.f32 u u) s) (fma.f32 1/4 (/.f32 s u) (*.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4)) s)))
(fma.f32 16 (.f32 u (.f32 u s)) (fma.f32 1/4 (/.f32 s u) (*.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) s)))
(fma.f32 1/4 (/.f32 s u) (.f32 s (-.f32 (fma.f32 u (.f32 u 16) (log.f32 -4)) (log.f32 (/.f32 -1 u)))))
(fma.f32 1/4 (/.f32 s u) (.f32 (-.f32 (fma.f32 u (.f32 u 16) (log.f32 -4)) (log.f32 (/.f32 -1 u))) s))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))))
(fma.f32 16 (.f32 (.f32 u u) s) (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/4 (/.f32 s u) (.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4)) s))))
(fma.f32 16 (.f32 u (.f32 u s)) (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/4 (/.f32 s u) (.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) s))))
(+.f32 (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 -1/32 u))) (.f32 s (-.f32 (fma.f32 u (*.f32 u 16) (log.f32 -4)) (log.f32 (/.f32 -1 u)))))
(+.f32 (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 -1/32 u))) (.f32 (-.f32 (fma.f32 u (*.f32 u 16) (log.f32 -4)) (log.f32 (/.f32 -1 u))) s))
(*.f32 4 u)
(+.f32 (.f32 -8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 -8 (.f32 u u) (.f32 4 u))
(fma.f32 4 u (.f32 u (.f32 u -8)))
(.f32 u (+.f32 4 (.f32 u -8)))
(+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(fma.f32 -8 (.f32 u u) (fma.f32 64/3 (pow.f32 u 3) (.f32 4 u)))
(fma.f32 (.f32 u u) -8 (fma.f32 4 u (.f32 64/3 (pow.f32 u 3))))
(fma.f32 4 u (.f32 (.f32 u u) (+.f32 (*.f32 u 64/3) -8)))
(.f32 u (+.f32 (.f32 u (+.f32 -8 (*.f32 u 64/3))) 4))
(+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 -64 (pow.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(fma.f32 -8 (.f32 u u) (fma.f32 -64 (pow.f32 u 4) (fma.f32 64/3 (pow.f32 u 3) (.f32 4 u))))
(fma.f32 (.f32 u u) -8 (fma.f32 -64 (pow.f32 u 4) (fma.f32 4 u (.f32 64/3 (pow.f32 u 3)))))
(fma.f32 -64 (pow.f32 u 4) (fma.f32 4 u (.f32 (.f32 u u) (+.f32 (*.f32 u 64/3) -8))))
(fma.f32 -64 (pow.f32 u 4) (.f32 u (+.f32 (.f32 u (+.f32 -8 (*.f32 u 64/3))) 4)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))
(fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4))
(+.f32 (log.f32 u) (log.f32 4))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 4)))
(+.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (/.f32 1/4 u))
(+.f32 (log.f32 u) (+.f32 (log.f32 4) (/.f32 1/4 u)))
(+.f32 (log.f32 4) (+.f32 (log.f32 u) (/.f32 1/4 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 4))) (*.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(-.f32 (+.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (/.f32 1/4 u)) (/.f32 1/32 (*.f32 u u)))
(+.f32 (log.f32 u) (+.f32 (log.f32 4) (-.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u)))))
(+.f32 (log.f32 4) (+.f32 (/.f32 1/4 u) (+.f32 (log.f32 u) (/.f32 -1/32 (*.f32 u u)))))
(+.f32 (/.f32 1/4 u) (+.f32 (+.f32 (log.f32 u) (log.f32 4)) (/.f32 -1/32 (*.f32 u u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 4) (.f32 1/192 (/.f32 1 (pow.f32 u 3)))))) (.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (+.f32 (+.f32 (log.f32 4) (/.f32 1/4 u)) (/.f32 1/192 (pow.f32 u 3)))) (/.f32 1/32 (*.f32 u u)))
(+.f32 (log.f32 u) (+.f32 (+.f32 (log.f32 4) (/.f32 1/4 u)) (-.f32 (/.f32 1/192 (pow.f32 u 3)) (/.f32 1/32 (*.f32 u u)))))
(+.f32 (log.f32 4) (+.f32 (+.f32 (/.f32 1/4 u) (/.f32 1/192 (pow.f32 u 3))) (+.f32 (log.f32 u) (/.f32 -1/32 (*.f32 u u)))))
(+.f32 (log.f32 4) (-.f32 (+.f32 (/.f32 1/4 u) (/.f32 1/192 (pow.f32 u 3))) (-.f32 (/.f32 1/32 (*.f32 u u)) (log.f32 u))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))
(fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4))
(-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 -4)))
(fma.f32 -1 (log.f32 (/.f32 -1 u)) (+.f32 (/.f32 1/4 u) (log.f32 -4)))
(-.f32 (+.f32 (/.f32 1/4 u) (log.f32 -4)) (log.f32 (/.f32 -1 u)))
(-.f32 (log.f32 -4) (-.f32 (log.f32 (/.f32 -1 u)) (/.f32 1/4 u)))
(-.f32 (/.f32 1/4 u) (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 -4)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 -4))) (*.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (+.f32 (/.f32 1/4 u) (log.f32 -4))) (/.f32 1/32 (*.f32 u u)))
(+.f32 (-.f32 (+.f32 (/.f32 1/4 u) (log.f32 -4)) (log.f32 (/.f32 -1 u))) (/.f32 -1/32 (*.f32 u u)))
(-.f32 (+.f32 (/.f32 1/4 u) (log.f32 -4)) (+.f32 (log.f32 (/.f32 -1 u)) (/.f32 1/32 (*.f32 u u))))
(+.f32 (/.f32 1/4 u) (-.f32 (log.f32 -4) (+.f32 (/.f32 1/32 (*.f32 u u)) (log.f32 (/.f32 -1 u)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 -4) (.f32 1/192 (/.f32 1 (pow.f32 u 3)))))) (.f32 1/32 (/.f32 1 (pow.f32 u 2))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (+.f32 (/.f32 1/4 u) (+.f32 (log.f32 -4) (/.f32 1/192 (pow.f32 u 3))))) (/.f32 1/32 (*.f32 u u)))
(+.f32 (+.f32 (-.f32 (+.f32 (/.f32 1/4 u) (log.f32 -4)) (log.f32 (/.f32 -1 u))) (/.f32 1/192 (pow.f32 u 3))) (/.f32 -1/32 (*.f32 u u)))
(+.f32 (/.f32 1/4 u) (-.f32 (+.f32 (log.f32 -4) (-.f32 (/.f32 1/192 (pow.f32 u 3)) (log.f32 (/.f32 -1 u)))) (/.f32 1/32 (*.f32 u u))))
(+.f32 (/.f32 1/4 u) (+.f32 (log.f32 -4) (-.f32 (/.f32 1/192 (pow.f32 u 3)) (+.f32 (/.f32 1/32 (*.f32 u u)) (log.f32 (/.f32 -1 u))))))

localize58.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f32 (*.f32 u 4))
	0.1b	(log1p.f32 (.f32 (.f32 u u) -16))
✓	0.2b	(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
✓	0.3b	(-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (*.f32 u u) -16)))

Compiler

Compiled 51 to 30 computations (41.2% saved)

series8.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	s	@	0	(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
1.0ms	s	@	inf	(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
1.0ms	s	@	-inf	(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
1.0ms	u	@	inf	(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
1.0ms	u	@	inf	(-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (*.f32 u u) -16)))

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`prod-diff_binary32`
572×	`log-prod_binary32`
362×	`pow-prod-down_binary32`
308×	`pow2_binary32`
229×	`fma-def_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	250	37
2	3051	37

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

Inputs
(-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (*.f32 u u) -16)))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (*.f32 u 4)) (neg.f32 (log1p.f32 (*.f32 u (*.f32 u -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (*.f32 u 4)) (*.f32 (neg.f32 (log1p.f32 (*.f32 u (*.f32 u -16)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (*.f32 u 4)) (log1p.f32 (*.f32 u (*.f32 u -16)))) (fma.f32 (neg.f32 (log1p.f32 (*.f32 u (*.f32 u -16)))) 1 (log1p.f32 (*.f32 u (*.f32 u -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (*.f32 u 4)) (log1p.f32 (*.f32 u (*.f32 u -16)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (*.f32 u (*.f32 u -16))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u (*.f32 u -16)))) 2) (log1p.f32 (*.f32 u (*.f32 u -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (*.f32 u 4)) (log1p.f32 (*.f32 u (*.f32 u -16)))) (+.f32 (neg.f32 (log1p.f32 (*.f32 u (*.f32 u -16)))) (log1p.f32 (*.f32 u (*.f32 u -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (-.f32 (log1p.f32 (*.f32 u 4)) (log1p.f32 (*.f32 u (*.f32 u -16)))) s))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log1p.f32 (*.f32 u 4)) s) (*.f32 (neg.f32 (log1p.f32 (*.f32 u (*.f32 u -16)))) s))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 s (log1p.f32 (*.f32 u 4))) (*.f32 s (neg.f32 (log1p.f32 (*.f32 u (*.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (/.f32 (fma.f32 u 4 1) (fma.f32 u (*.f32 u -16) 1)) s)) 2)) (log.f32 (cbrt.f32 (pow.f32 (/.f32 (fma.f32 u 4 1) (fma.f32 u (*.f32 u -16) 1)) s))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (/.f32 (fma.f32 u 4 1) (fma.f32 u (*.f32 u -16) 1)) s))) (log.f32 (sqrt.f32 (pow.f32 (/.f32 (fma.f32 u 4 1) (fma.f32 u (*.f32 u -16) 1)) s))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (-.f32 (log1p.f32 (*.f32 u 4)) (log1p.f32 (*.f32 u (*.f32 u -16)))) s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u 4)) 3) (pow.f32 (log1p.f32 (*.f32 u (*.f32 u -16))) 3)) s) (fma.f32 (log1p.f32 (*.f32 u (*.f32 u -16))) (log.f32 (*.f32 (fma.f32 u (*.f32 u -16) 1) (fma.f32 u 4 1))) (pow.f32 (log1p.f32 (*.f32 u 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u 4)) 2) (pow.f32 (log1p.f32 (*.f32 u (*.f32 u -16))) 2)) s) (log.f32 (*.f32 (fma.f32 u (*.f32 u -16) 1) (fma.f32 u 4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 s (-.f32 (pow.f32 (log1p.f32 (*.f32 u 4)) 3) (pow.f32 (log1p.f32 (*.f32 u (*.f32 u -16))) 3))) (fma.f32 (log1p.f32 (*.f32 u (*.f32 u -16))) (log.f32 (*.f32 (fma.f32 u (*.f32 u -16) 1) (fma.f32 u 4 1))) (pow.f32 (log1p.f32 (*.f32 u 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 s (-.f32 (pow.f32 (log1p.f32 (*.f32 u 4)) 2) (pow.f32 (log1p.f32 (*.f32 u (*.f32 u -16))) 2))) (log.f32 (*.f32 (fma.f32 u (*.f32 u -16) 1) (fma.f32 u 4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (-.f32 (log1p.f32 (*.f32 u 4)) (log1p.f32 (*.f32 u (*.f32 u -16)))) s) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (-.f32 (log1p.f32 (*.f32 u 4)) (log1p.f32 (*.f32 u (*.f32 u -16)))) s) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (-.f32 (log1p.f32 (*.f32 u 4)) (log1p.f32 (*.f32 u (*.f32 u -16)))) s) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (-.f32 (log1p.f32 (*.f32 u 4)) (log1p.f32 (*.f32 u (*.f32 u -16)))) s)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (-.f32 (log1p.f32 (*.f32 u 4)) (log1p.f32 (*.f32 u (*.f32 u -16)))) s)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (-.f32 (log1p.f32 (*.f32 u 4)) (log1p.f32 (*.f32 u (*.f32 u -16)))) s) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (/.f32 (fma.f32 u 4 1) (fma.f32 u (*.f32 u -16) 1)) s))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (-.f32 (pow.f32 (/.f32 (fma.f32 u 4 1) (fma.f32 u (*.f32 u -16) 1)) s) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (-.f32 (log1p.f32 (*.f32 u 4)) (log1p.f32 (*.f32 u (*.f32 u -16)))) s) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (-.f32 (log1p.f32 (*.f32 u 4)) (log1p.f32 (*.f32 u (*.f32 u -16)))) s)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 u 4 1) (fma.f32 u (*.f32 u -16) 1)) s) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (-.f32 (log1p.f32 (*.f32 u 4)) (log1p.f32 (*.f32 u (*.f32 u -16)))) s)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (-.f32 (log1p.f32 (*.f32 u 4)) (log1p.f32 (*.f32 u (*.f32 u -16)))) s)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (log1p.f32 (*.f32 u 4)) s (*.f32 (neg.f32 (log1p.f32 (*.f32 u (*.f32 u -16)))) s))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 s (log1p.f32 (*.f32 u 4)) (*.f32 s (neg.f32 (log1p.f32 (*.f32 u (*.f32 u -16))))))))))

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

629×	`associate--r+_binary32`
527×	`fma-def_binary32`
519×	`associate-l_binary32`
472×	`associate-+l+_binary32`
365×	`sub-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	1018
1	339	970
2	1036	892
3	3961	787

Stop Event

1×	node limit

Counts

146 → 159

Calls

Call 1

Inputs
(*.f32 4 u)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 4))) (+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 4)))) (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 4) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))) (+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)) (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 -4))) (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 -4)))) (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 -4) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))) (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 4 (.f32 s u))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(.f32 s (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)) (+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u))))))
(+.f32 (.f32 s (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 s (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 s (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
(.f32 s (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)) (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16))))
(+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)) (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)) (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16))))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)) (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))))))

Outputs
(*.f32 4 u)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 4 u))
(fma.f32 4 u (.f32 8 (.f32 u u)))
(.f32 u (+.f32 4 (.f32 u 8)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(fma.f32 8 (.f32 u u) (fma.f32 64/3 (pow.f32 u 3) (.f32 4 u)))
(fma.f32 8 (.f32 u u) (fma.f32 4 u (.f32 64/3 (pow.f32 u 3))))
(fma.f32 4 u (.f32 (.f32 u u) (+.f32 8 (*.f32 u 64/3))))
(.f32 u (+.f32 4 (.f32 u (+.f32 8 (*.f32 u 64/3)))))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(fma.f32 8 (.f32 u u) (fma.f32 64 (pow.f32 u 4) (fma.f32 64/3 (pow.f32 u 3) (.f32 4 u))))
(fma.f32 8 (.f32 u u) (fma.f32 64 (pow.f32 u 4) (fma.f32 4 u (.f32 64/3 (pow.f32 u 3)))))
(fma.f32 64 (pow.f32 u 4) (fma.f32 4 u (.f32 (.f32 u u) (+.f32 8 (*.f32 u 64/3)))))
(fma.f32 64 (pow.f32 u 4) (.f32 u (+.f32 4 (.f32 u (+.f32 8 (*.f32 u 64/3))))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (+.f32 (log.f32 -16) (*.f32 (neg.f32 (log.f32 u)) -2)))
(+.f32 (log.f32 u) (-.f32 (log.f32 4) (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16))))
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(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/4 (/.f32 s u) (.f32 (-.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))) s)))
(fma.f32 (+.f32 (log.f32 -4) (-.f32 (.f32 (log.f32 (/.f32 -1 u)) 1) (log.f32 -16))) s (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))))
(fma.f32 (+.f32 (log.f32 -4) (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 -16))) s (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)) (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 1/4 (/.f32 s u) (.f32 (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4)) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))) s))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 1/4 (/.f32 s u) (.f32 (-.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))) s))))
(fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 (+.f32 (log.f32 -4) (-.f32 (.f32 (log.f32 (/.f32 -1 u)) 1) (log.f32 -16))) s (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u)))))
(fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 (+.f32 (log.f32 -4) (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 -16))) s (*.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u)))))

eval535.0ms (5.5%)

Compiler: Compiled 23992 to 16302 computations (32.1% saved)

prune192.0ms (2%)

Pruning

28 alts after pruning (15 fresh and 13 done)

	Pruned	Kept	Total
New	990	8	998
Fresh	5	7	12
Picked	0	1	1
Done	0	12	12
Total	995	28	1023

Error

Counts

1023 → 28

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f32 (log1p.f32 (.f32 u 4)) s (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))
✓	3.1b	(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
	2.9b	(exp.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))
✓	9.0b	(.f32 s (.f32 3 (*.f32 u 4/3)))
✓	9.0b	(.f32 4 (.f32 u s))
✓	4.7b	(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u 8/3)))))
	4.7b	(.f32 (.f32 u s) (+.f32 4 (*.f32 u 8)))
✓	0.3b	(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
	3.3b	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (.f32 u (+.f32 -4 (.f32 u (+.f32 -8 (.f32 u -64/3)))))))))
	3.4b	(+.f32 (.f32 (log1p.f32 (.f32 u 4)) s) (.f32 16 (.f32 (*.f32 u u) s)))
✓	0.2b	(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
	2.0b	(fma.f32 (log1p.f32 (.f32 u 4)) s (.f32 (.f32 u (.f32 s u)) (+.f32 16 (.f32 (.f32 u u) 128))))
	24.5b	(-.f32 (+.f32 1 (.f32 4 (.f32 u s))) 1)
✓	11.6b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
	3.1b	(.f32 s (+.f32 (.f32 16 (.f32 u u)) (.f32 u (+.f32 (.f32 u (+.f32 -8 (.f32 u 64/3))) 4))))
	1.3b	(.f32 s (exp.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))
✓	9.0b	(.f32 (.f32 u 4) s)
✓	4.6b	(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
✓	10.9b	(.f32 s (neg.f32 (log.f32 (+.f32 (.f32 u -4) 1))))
	4.7b	(.f32 s (+.f32 (.f32 16 (.f32 u u)) (.f32 u (+.f32 4 (*.f32 u -8)))))
✓	3.4b	(.f32 s (+.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 4 u))))
	4.6b	(fma.f32 (.f32 u 4) s (.f32 8 (.f32 (.f32 u u) s)))
	4.7b	(.f32 (.f32 u (+.f32 4 (*.f32 u 8))) s)
	4.7b	(.f32 u (.f32 s (+.f32 4 (*.f32 u 8))))
	3.2b	(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (*.f32 u 64/9)))))))
	0.3b	(-.f32 (.f32 (log1p.f32 (.f32 u 4)) s) (.f32 s (log1p.f32 (.f32 (*.f32 u u) -16))))
	3.1b	(.f32 s (.f32 u (+.f32 (.f32 u (+.f32 8 (.f32 u 64/3))) 4)))
✓	0.4b	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))))

Compiler

Compiled 381 to 282 computations (26% saved)

regimes241.0ms (2.5%)

Counts

48 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u 4) s)
(.f32 s (.f32 u 4))
(.f32 4 (.f32 u s))
(.f32 s (.f32 3 (*.f32 u 4/3)))
(.f32 s (.f32 3 (*.f32 4/3 u)))
(.f32 (.f32 u s) (+.f32 4 (*.f32 u 8)))
(-.f32 (+.f32 1 (.f32 4 (.f32 u s))) 1)
(.f32 u (.f32 s (+.f32 4 (*.f32 u 8))))
(.f32 (.f32 u (+.f32 4 (*.f32 u 8))) s)
(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u 8/3)))))
(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
(.f32 s (.f32 u (+.f32 (.f32 u (+.f32 8 (.f32 u 64/3))) 4)))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 (.f32 u 64/3) 8)))))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
(.f32 s (+.f32 (.f32 16 (.f32 u u)) (.f32 u (+.f32 4 (*.f32 u -8)))))
(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (*.f32 u 64/9)))))))
(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (.f32 u (+.f32 -4 (.f32 u (+.f32 -8 (.f32 u -64/3)))))))))
(.f32 s (+.f32 (.f32 16 (.f32 u u)) (.f32 u (+.f32 (.f32 u (+.f32 -8 (.f32 u 64/3))) 4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log.f32 (+.f32 (.f32 u -4) 1))))
(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))))
(fma.f32 (.f32 u 4) s (.f32 8 (.f32 (.f32 u u) s)))
(.f32 s (+.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 4 u))))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 (log1p.f32 (.f32 u 4)) s) (.f32 16 (.f32 (*.f32 u u) s)))
(+.f32 (.f32 (.f32 u u) (.f32 (fma.f32 64/3 u 8) s)) (.f32 u (*.f32 4 s)))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 0 (.f32 (.f32 u (*.f32 u s)) 8))))
(pow.f32 (sqrt.f32 (.f32 s (.f32 u 4))) 2)
(.f32 4 (pow.f32 (cbrt.f32 (.f32 u s)) 3))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 (.f32 u u) -16))))
(-.f32 (.f32 (log1p.f32 (.f32 u 4)) s) (.f32 s (log1p.f32 (.f32 (*.f32 u u) -16))))
(+.f32 (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s) (.f32 (log1p.f32 (*.f32 u 4)) s))
(.f32 s (+.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 16 (.f32 u u))))) (log1p.f32 (.f32 4 u))))
(fma.f32 (log1p.f32 (.f32 u 4)) s (.f32 (.f32 u (.f32 s u)) (+.f32 16 (.f32 (.f32 u u) 128))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(exp.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))
(.f32 s (exp.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))
(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
(.f32 s (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 3))
(pow.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 3)
(fma.f32 (log1p.f32 (.f32 u 4)) s (.f32 (neg.f32 (log1p.f32 (.f32 (.f32 u u) -16))) s))
(.f32 s (.f32 3 (+.f32 (.f32 8/3 (pow.f32 u 2)) (+.f32 (.f32 4/3 u) (+.f32 (.f32 64/3 (pow.f32 u 4)) (.f32 64/9 (pow.f32 u 3)))))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))

Outputs
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))

Calls

7 calls:

48.0ms	s
45.0ms	(-.f32 1 (*.f32 4 u))
24.0ms	(*.f32 4 u)
22.0ms	u
18.0ms	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))

Results

Error	Segments	Branch
0.2b	1	`s`
0.2b	1	`u`
0.2b	1	`(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))`
0.2b	1	`(log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u))))`
0.2b	1	`(/.f32 1 (-.f32 1 (*.f32 4 u)))`
0.2b	1	`(-.f32 1 (*.f32 4 u))`
0.2b	1	`(*.f32 4 u)`

Compiler

Compiled 673 to 459 computations (31.8% saved)

regimes27.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u 4) s)
(.f32 s (.f32 u 4))
(.f32 4 (.f32 u s))
(.f32 s (.f32 3 (*.f32 u 4/3)))
(.f32 s (.f32 3 (*.f32 4/3 u)))
(.f32 (.f32 u s) (+.f32 4 (*.f32 u 8)))
(-.f32 (+.f32 1 (.f32 4 (.f32 u s))) 1)
(.f32 u (.f32 s (+.f32 4 (*.f32 u 8))))
(.f32 (.f32 u (+.f32 4 (*.f32 u 8))) s)
(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u 8/3)))))
(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
(.f32 s (.f32 u (+.f32 (.f32 u (+.f32 8 (.f32 u 64/3))) 4)))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 (.f32 u 64/3) 8)))))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
(.f32 s (+.f32 (.f32 16 (.f32 u u)) (.f32 u (+.f32 4 (*.f32 u -8)))))
(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (*.f32 u 64/9)))))))
(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (.f32 u (+.f32 -4 (.f32 u (+.f32 -8 (.f32 u -64/3)))))))))
(.f32 s (+.f32 (.f32 16 (.f32 u u)) (.f32 u (+.f32 (.f32 u (+.f32 -8 (.f32 u 64/3))) 4))))

Outputs
(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))

Calls

2 calls:

11.0ms	s
10.0ms	u

Results

Error	Segments	Branch
3.1b	1	`s`
3.1b	1	`u`

Compiler

Compiled 229 to 154 computations (32.8% saved)

regimes48.0ms (0.5%)

Counts

17 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u 4) s)
(.f32 s (.f32 u 4))
(.f32 4 (.f32 u s))
(.f32 s (.f32 3 (*.f32 u 4/3)))
(.f32 s (.f32 3 (*.f32 4/3 u)))
(.f32 (.f32 u s) (+.f32 4 (*.f32 u 8)))
(-.f32 (+.f32 1 (.f32 4 (.f32 u s))) 1)
(.f32 u (.f32 s (+.f32 4 (*.f32 u 8))))
(.f32 (.f32 u (+.f32 4 (*.f32 u 8))) s)
(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u 8/3)))))
(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
(.f32 s (.f32 u (+.f32 (.f32 u (+.f32 8 (.f32 u 64/3))) 4)))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 (.f32 u 64/3) 8)))))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
(.f32 s (+.f32 (.f32 16 (.f32 u u)) (.f32 u (+.f32 4 (*.f32 u -8)))))
(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (*.f32 u 64/9)))))))

Outputs
(.f32 s (.f32 u (+.f32 (.f32 u (+.f32 8 (.f32 u 64/3))) 4)))

Calls

2 calls:

34.0ms	u
9.0ms	s

Results

Error	Segments	Branch
3.1b	1	`s`
3.1b	1	`u`

Compiler

Compiled 177 to 119 computations (32.8% saved)

regimes50.0ms (0.5%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u 4) s)
(.f32 s (.f32 u 4))
(.f32 4 (.f32 u s))
(.f32 s (.f32 3 (*.f32 u 4/3)))
(.f32 s (.f32 3 (*.f32 4/3 u)))
(.f32 (.f32 u s) (+.f32 4 (*.f32 u 8)))
(-.f32 (+.f32 1 (.f32 4 (.f32 u s))) 1)
(.f32 u (.f32 s (+.f32 4 (*.f32 u 8))))
(.f32 (.f32 u (+.f32 4 (*.f32 u 8))) s)
(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u 8/3)))))
(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))

Outputs
(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))

Calls

2 calls:

7.0ms	u
7.0ms	s

Results

Error	Segments	Branch
4.6b	1	`s`
4.6b	1	`u`

Compiler

Compiled 95 to 63 computations (33.7% saved)

regimes16.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u 4) s)
(.f32 s (.f32 u 4))
(.f32 4 (.f32 u s))
(.f32 s (.f32 3 (*.f32 u 4/3)))
(.f32 s (.f32 3 (*.f32 4/3 u)))
(.f32 (.f32 u s) (+.f32 4 (*.f32 u 8)))
(-.f32 (+.f32 1 (.f32 4 (.f32 u s))) 1)
(.f32 u (.f32 s (+.f32 4 (*.f32 u 8))))
(.f32 (.f32 u (+.f32 4 (*.f32 u 8))) s)
(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u 8/3)))))

Outputs
(.f32 u (.f32 s (+.f32 4 (*.f32 u 8))))

Calls

2 calls:

7.0ms	u
6.0ms	s

Results

Error	Segments	Branch
4.7b	1	`s`
4.7b	1	`u`

Compiler

Compiled 84 to 56 computations (33.3% saved)

regimes27.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u 4) s)
(.f32 s (.f32 u 4))
(.f32 4 (.f32 u s))
(.f32 s (.f32 3 (*.f32 u 4/3)))
(.f32 s (.f32 3 (*.f32 4/3 u)))
(.f32 (.f32 u s) (+.f32 4 (*.f32 u 8)))
(-.f32 (+.f32 1 (.f32 4 (.f32 u s))) 1)

Outputs
(.f32 (.f32 u s) (+.f32 4 (*.f32 u 8)))

Calls

2 calls:

20.0ms	s
5.0ms	u

Results

Error	Segments	Branch
4.7b	1	`s`
4.7b	1	`u`

Compiler

Compiled 55 to 36 computations (34.5% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.1b remaining (-1.5%)

Threshold costs -0.1b (-1.5%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u 4) s)
(.f32 s (.f32 u 4))
(.f32 4 (.f32 u s))
(.f32 s (.f32 3 (*.f32 u 4/3)))
(.f32 s (.f32 3 (*.f32 4/3 u)))

Outputs
(.f32 (.f32 u 4) s)

Calls

2 calls:

4.0ms	u
4.0ms	s

Results

Error	Segments	Branch
9.0b	1	`s`
9.0b	1	`u`

Compiler

Compiled 37 to 25 computations (32.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary32`
8×	`+-commutative_binary32`
3×	`sub-neg_binary32`
3×	`neg-sub0_binary32`
3×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	101
1	63	101
2	71	101
3	77	101
4	80	101
5	81	101

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
(.f32 s (.f32 u (+.f32 (.f32 u (+.f32 8 (.f32 u 64/3))) 4)))
(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
(.f32 u (.f32 s (+.f32 4 (*.f32 u 8))))
(.f32 (.f32 u s) (+.f32 4 (*.f32 u 8)))
(.f32 (.f32 u 4) s)

Outputs
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 8 (*.f32 u 64/3)))))
(.f32 s (.f32 u (+.f32 (.f32 u (+.f32 8 (.f32 u 64/3))) 4)))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) 8)))
(.f32 u (.f32 s (+.f32 4 (*.f32 u 8))))
(.f32 (.f32 u s) (+.f32 4 (*.f32 u 8)))
(.f32 (+.f32 4 (.f32 u 8)) (*.f32 s u))
(.f32 (.f32 u 4) s)
(.f32 s (.f32 u 4))

Compiler

Compiled 83 to 60 computations (27.7% saved)

soundness44.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

175×	`fma-neg_binary32`
148×	`fma-def_binary32`
47×	`cancel-sign-sub-inv_binary32`
46×	`sub-neg_binary32`
29×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	24	11
2	41	11
3	70	11
4	96	11
5	126	11
6	166	11
7	240	11
8	363	11
9	433	11
10	510	11
11	604	11
12	743	11
13	855	11
14	868	11

Stop Event

1×

saturated

Compiler

Compiled 74 to 60 computations (18.9% saved)

end95.0ms (1%)

Compiler: Compiled 71 to 47 computations (33.8% saved)

Iter	Nodes	Cost
0	10	14
1	24	11
2	41	11
3	70	11
4	96	11
5	126	11
6	166	11
7	240	11
8	363	11
9	433	11
10	510	11
11	604	11
12	743	11
13	855	11
14	868	11

Iter	Nodes	Cost
0	10	14
1	24	11
2	41	11
3	70	11
4	96	11
5	126	11
6	166	11
7	240	11
8	363	11
9	433	11
10	510	11
11	604	11
12	743	11
13	855	11
14	868	11

Iter	Nodes	Cost
0	10	14
1	24	11
2	41	11
3	70	11
4	96	11
5	126	11
6	166	11
7	240	11
8	363	11
9	433	11
10	510	11
11	604	11
12	743	11
13	855	11
14	868	11

Iter	Nodes	Cost
0	10	14
1	24	11
2	41	11
3	70	11
4	96	11
5	126	11
6	166	11
7	240	11
8	363	11
9	433	11
10	510	11
11	604	11
12	743	11
13	855	11
14	868	11

Iter	Nodes	Cost
0	10	14
1	24	11
2	41	11
3	70	11
4	96	11
5	126	11
6	166	11
7	240	11
8	363	11
9	433	11
10	510	11
11	604	11
12	743	11
13	855	11
14	868	11

Iter	Nodes	Cost
0	10	14
1	24	11
2	41	11
3	70	11
4	96	11
5	126	11
6	166	11
7	240	11
8	363	11
9	433	11
10	510	11
11	604	11
12	743	11
13	855	11
14	868	11