Details

analyze379.0ms (3.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	1.5%	98.5%	0%	0%	0%	0
0%	0%	1.5%	98.5%	0%	0%	0%	1
0%	0%	1.5%	98.5%	0%	0%	0%	2
50%	0.8%	0.8%	98.5%	0%	0%	0%	3
50%	0.8%	0.8%	98.5%	0%	0%	0%	4
75%	1.2%	0.4%	98.5%	0%	0%	0%	5
75%	1.2%	0.4%	98.5%	0%	0%	0%	6
87.5%	1.4%	0.2%	98.5%	0%	0%	0%	7
87.5%	1.4%	0.2%	98.5%	0%	0%	0%	8
93.8%	1.4%	0.1%	98.5%	0%	0%	0%	9
93.8%	1.4%	0.1%	98.5%	0%	0%	0%	10
96.9%	1.5%	0%	98.5%	0%	0%	0%	11
96.9%	1.5%	0%	98.5%	0%	0%	0%	12

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample2.3s (19.5%)

Results

2.3s

8256×

body

256

valid

Bogosity

preprocess241.0ms (2%)

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)

simplify26.0ms (0.2%)

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))))
▶	12.6b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))

Compiler

Compiled 21 to 17 computations (19% saved)

localize44.0ms (0.4%)

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)))))
✓	14.4b	(log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u))))

Compiler

Compiled 39 to 31 computations (20.5% saved)

series48.0ms (0.4%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	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)))))

rewrite76.0ms (0.6%)

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)))))))

simplify75.0ms (0.6%)

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)))))

localize34.0ms (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)

series25.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	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))))

rewrite54.0ms (0.5%)

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))))))))

simplify52.0ms (0.4%)

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)))

eval109.0ms (0.9%)

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

prune124.0ms (1.1%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	270	19	289
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	270	21	291

Error

0.0b

Counts

291 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	8.1b	(.f32 s (.f32 u 4))
▶	0.7b	(.f32 s (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 3))
	1.3b	(.f32 s (exp.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))
▶	0.4b	(.f32 s (/.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)))))))
	0.5b	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
▶	8.2b	(.f32 4 (.f32 u s))
	0.7b	(pow.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 3)
	0.4b	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))))
	2.5b	(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
	2.0b	(+.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))))))
✓	12.6b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
▶	2.4b	(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
	0.7b	(.f32 s (neg.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (.f32 u -4))))))
▶	2.4b	(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
	2.8b	(exp.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))
	2.6b	(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
	3.8b	(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
	1.7b	(.f32 s (pow.f32 (E.f32) (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))
✓	0.2b	(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
	3.7b	(.f32 (.f32 u (+.f32 4 (*.f32 u 8))) s)
	1.9b	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (.f32 u (+.f32 4 (*.f32 u 8)))))

Compiler

Compiled 611 to 479 computations (21.6% saved)

localize191.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 s (/.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)))))))
✓	0.4b	(/.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))))))
✓	0.4b	(pow.f32 (log1p.f32 (*.f32 u -4)) 2)
✓	0.7b	(pow.f32 (log1p.f32 (*.f32 u -4)) 3)

Compiler

Compiled 119 to 100 computations (16% saved)

series10.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	u	@	inf	(pow.f32 (log1p.f32 (*.f32 u -4)) 3)
2.0ms	u	@	-inf	(pow.f32 (log1p.f32 (*.f32 u -4)) 3)
1.0ms	u	@	inf	(/.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))))))
1.0ms	u	@	inf	(pow.f32 (log1p.f32 (*.f32 u -4)) 2)
1.0ms	u	@	0	(pow.f32 (log1p.f32 (*.f32 u -4)) 3)

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`log-prod_binary32`
267×	`pow2_binary32`
196×	`prod-diff_binary32`
187×	`expm1-udef_binary32`
187×	`log1p-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	71
1	401	33
2	5113	33

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

Inputs
(pow.f32 (log1p.f32 (*.f32 u -4)) 3)
(pow.f32 (log1p.f32 (*.f32 u -4)) 2)
(/.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))))))
(.f32 s (/.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)))))))

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

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

551×	`+-commutative_binary32`
529×	`fma-neg_binary32`
365×	`associate-l_binary32`
340×	`distribute-rgt-in_binary32`
330×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	2102
1	746	1889
2	2645	1724
3	7048	1718

Stop Event

1×	node limit

Counts

249 → 287

Calls

Call 1

Inputs
(*.f32 -64 (pow.f32 u 3))
(+.f32 (.f32 -64 (pow.f32 u 3)) (.f32 -384 (pow.f32 u 4)))
(+.f32 (.f32 -1792 (pow.f32 u 5)) (+.f32 (.f32 -64 (pow.f32 u 3)) (*.f32 -384 (pow.f32 u 4))))
(+.f32 (.f32 -1792 (pow.f32 u 5)) (+.f32 (.f32 -64 (pow.f32 u 3)) (+.f32 (.f32 -384 (pow.f32 u 4)) (.f32 -7680 (pow.f32 u 6)))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 3)
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) u)) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 3) (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) u))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) u)) (+.f32 (/.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) (pow.f32 u 2)) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 3) (+.f32 (.f32 1/8 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 2))) (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) u)) (.f32 -1/32 (/.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) (pow.f32 u 2))))))))
(+.f32 (.f32 1/64 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 3))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) u)) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 3) (+.f32 (.f32 -1/192 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) (pow.f32 u 3))) (+.f32 (/.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) (pow.f32 u 2)) (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) u)) (+.f32 (.f32 -1/32 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) (pow.f32 u 2))) (+.f32 (/.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 1/64 (.f32 -1/96 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) (pow.f32 u 3)) (+.f32 (.f32 1/8 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 2))) (.f32 -1/4 (/.f32 (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (pow.f32 u 3))))))))))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 3)
(+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 3) (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) (.f32 1/4 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2))) u)))
(+.f32 (/.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) (pow.f32 u 2)) (+.f32 (.f32 1/8 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (pow.f32 u 2))) (+.f32 (.f32 -1/32 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) (pow.f32 u 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 3) (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) (.f32 1/4 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2))) u))))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (-.f32 (.f32 1/96 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/64)) (+.f32 (.f32 -1/64 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) (+.f32 (.f32 1/4 (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) (.f32 1/192 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2))))) (pow.f32 u 3))) (+.f32 (/.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) (pow.f32 u 2)) (+.f32 (.f32 1/8 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (pow.f32 u 2))) (+.f32 (.f32 -1/32 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) (pow.f32 u 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 3) (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) (.f32 1/4 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2))) u)))))))
(*.f32 16 (pow.f32 u 2))
(+.f32 (.f32 16 (pow.f32 u 2)) (.f32 64 (pow.f32 u 3)))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 3)) (*.f32 704/3 (pow.f32 u 4))))
(+.f32 (.f32 2560/3 (pow.f32 u 5)) (+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 3)) (.f32 704/3 (pow.f32 u 4)))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2)
(+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) u)) (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 -1/16 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 2))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) u)) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2))))
(+.f32 (.f32 -1/16 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 2))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) u)) (+.f32 (.f32 -1/96 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 3))) (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2))))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)
(+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) (.f32 -1/2 (/.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) u)))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) (+.f32 (.f32 -1/16 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (pow.f32 u 2))) (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) u)))))
(+.f32 (.f32 -1 (/.f32 (-.f32 (.f32 1/96 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/64) (pow.f32 u 3))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) (+.f32 (.f32 -1/16 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (pow.f32 u 2))) (.f32 -1/2 (/.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 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 -64 (pow.f32 u 3))
(+.f32 (.f32 -64 (pow.f32 u 3)) (.f32 -384 (pow.f32 u 4)))
(fma.f32 -64 (pow.f32 u 3) (*.f32 -384 (pow.f32 u 4)))
(+.f32 (.f32 -1792 (pow.f32 u 5)) (+.f32 (.f32 -64 (pow.f32 u 3)) (*.f32 -384 (pow.f32 u 4))))
(fma.f32 -1792 (pow.f32 u 5) (fma.f32 -64 (pow.f32 u 3) (*.f32 -384 (pow.f32 u 4))))
(+.f32 (.f32 -1792 (pow.f32 u 5)) (+.f32 (.f32 -64 (pow.f32 u 3)) (+.f32 (.f32 -384 (pow.f32 u 4)) (.f32 -7680 (pow.f32 u 6)))))
(fma.f32 -1792 (pow.f32 u 5) (fma.f32 -64 (pow.f32 u 3) (fma.f32 -384 (pow.f32 u 4) (*.f32 -7680 (pow.f32 u 6)))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 3)
(pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 3)
(pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 3)
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) u)) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 3) (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) u))))
(fma.f32 -1/2 (/.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2) u) (+.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 3) (*.f32 (/.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2) u) -1/4)))
(fma.f32 -1/2 (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) u) (fma.f32 (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) u) -1/4 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 3)))
(+.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 3) (*.f32 (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) u) -3/4))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) u)) (+.f32 (/.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) (pow.f32 u 2)) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 3) (+.f32 (.f32 1/8 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 2))) (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) u)) (.f32 -1/32 (/.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) (pow.f32 u 2))))))))
(fma.f32 -1/2 (/.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2) u) (+.f32 (/.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (/.f32 (.f32 u u) (+.f32 1/16 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) -1/16)))) (+.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 3) (fma.f32 1/8 (/.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (.f32 u u)) (fma.f32 -1/4 (/.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2) u) (.f32 -1/32 (/.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2) (*.f32 u u))))))))
(fma.f32 -1/2 (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) u) (+.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 3) (+.f32 (fma.f32 1/8 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (.f32 u u)) (fma.f32 (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) u) -1/4 (/.f32 (.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) -1/32) (.f32 u u)))) (.f32 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (*.f32 u u)) (fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) -1/16 1/16)))))
(+.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 3) (+.f32 (fma.f32 1/8 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (.f32 u u)) (.f32 (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) u) (+.f32 -1/4 (/.f32 -1/32 u)))) (fma.f32 -1/2 (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) u) (.f32 (fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) -1/16 1/16) (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (.f32 u u))))))
(+.f32 (.f32 1/64 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 3))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) u)) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 3) (+.f32 (.f32 -1/192 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) (pow.f32 u 3))) (+.f32 (/.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) (pow.f32 u 2)) (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) u)) (+.f32 (.f32 -1/32 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) (pow.f32 u 2))) (+.f32 (/.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 1/64 (.f32 -1/96 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))) (pow.f32 u 3)) (+.f32 (.f32 1/8 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 2))) (.f32 -1/4 (/.f32 (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (pow.f32 u 3))))))))))))
(fma.f32 1/64 (/.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (pow.f32 u 3)) (fma.f32 -1/2 (/.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2) u) (+.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 3) (fma.f32 -1/192 (/.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2) (pow.f32 u 3)) (+.f32 (/.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (/.f32 (.f32 u u) (+.f32 1/16 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) -1/16)))) (fma.f32 -1/4 (/.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2) u) (fma.f32 -1/32 (/.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2) (.f32 u u)) (+.f32 (/.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (/.f32 (pow.f32 u 3) (+.f32 1/64 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) -1/96)))) (fma.f32 1/8 (/.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (.f32 u u)) (.f32 -1/4 (/.f32 (+.f32 1/16 (*.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) -1/16)) (pow.f32 u 3))))))))))))
(fma.f32 1/64 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (pow.f32 u 3)) (+.f32 (+.f32 (fma.f32 -1/2 (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) u) (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 3)) (fma.f32 -1/192 (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) (pow.f32 u 3)) (.f32 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (.f32 u u)) (fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) -1/16 1/16)))) (fma.f32 (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) u) -1/4 (+.f32 (fma.f32 -1/4 (/.f32 (fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) -1/16 1/16) (pow.f32 u 3)) (.f32 1/8 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (.f32 u u)))) (fma.f32 -1/32 (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) (.f32 u u)) (.f32 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (pow.f32 u 3)) (fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) -1/96 1/64)))))))
(fma.f32 1/64 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (pow.f32 u 3)) (+.f32 (+.f32 (.f32 (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) u) (+.f32 -1/4 (/.f32 -1/32 u))) (+.f32 (/.f32 (+.f32 -1/64 (.f32 (+.f32 (log.f32 u) (log.f32 -4)) 1/64)) (pow.f32 u 3)) (.f32 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (.f32 u u)) (+.f32 1/8 (/.f32 (fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) -1/96 1/64) u))))) (+.f32 (fma.f32 -1/2 (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) u) (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 3)) (fma.f32 -1/192 (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) (pow.f32 u 3)) (.f32 (fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) -1/16 1/16) (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (.f32 u u)))))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 3)
(pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 3)
(pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 3)
(+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 3) (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) (.f32 1/4 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2))) u)))
(+.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 3) (neg.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2) 3/4) u)))
(-.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 3) (/.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2) (/.f32 u 3/4)))
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(+.f32 (-.f32 (/.f32 1/4 u) (+.f32 (log.f32 u) (log.f32 -4))) (/.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 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 1/32 (*.f32 u u)) (+.f32 (/.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 1/4 u) (+.f32 (-.f32 (/.f32 1/192 (pow.f32 u 3)) (+.f32 (log.f32 u) (log.f32 -4))) (/.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 (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 (.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 u u)) (+.f32 (/.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 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 1/32 (*.f32 u u)) (+.f32 (/.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 (/.f32 1/4 u) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (+.f32 (/.f32 1/192 (pow.f32 u 3)) (/.f32 1/32 (*.f32 u u))))
(+.f32 (/.f32 1/4 u) (-.f32 (+.f32 (/.f32 1/32 (*.f32 u u)) (/.f32 1/192 (pow.f32 u 3))) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))
(.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 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 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 (.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 (.f32 64 s) (pow.f32 u 4) (.f32 (.f32 u u) (.f32 8 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 -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))
(-.f32 (.f32 (/.f32 1/4 u) s) (.f32 (+.f32 (log.f32 u) (log.f32 -4)) s))
(+.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 (/.f32 1/32 u) 1/4)) (.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)) (-.f32 (.f32 1/4 (/.f32 s u)) (*.f32 (+.f32 (log.f32 u) (log.f32 -4)) s))))
(+.f32 (.f32 (/.f32 1/4 u) s) (-.f32 (.f32 (/.f32 s (.f32 u u)) (+.f32 1/32 (/.f32 1/192 u))) (.f32 (+.f32 (log.f32 u) (log.f32 -4)) s)))
(.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 (.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)))
(+.f32 (.f32 (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) s) (.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4)))
(fma.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4) (*.f32 (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) s))
(+.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 (/.f32 (.f32 1/192 s) (pow.f32 u 3)) (+.f32 (.f32 (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) s) (*.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4))))
(+.f32 (/.f32 (.f32 1/192 s) (pow.f32 u 3)) (fma.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4) (.f32 (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) s)))

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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))
0.0ms	u	@	-inf	(.f32 4 (.f32 u s))

rewrite44.0ms (0.4%)

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	7
1	122	7
2	1394	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f32 4 (.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))))))))

simplify11.0ms (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	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

35 → 12

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))

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))

localize84.0ms (0.7%)

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 64/3 u)
✓	0.4b	(.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))

Compiler

Compiled 58 to 36 computations (37.9% saved)

series31.0ms (0.3%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
24.0ms	u	@	inf	(.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))
1.0ms	s	@	0	(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))
1.0ms	u	@	0	(.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))))

rewrite99.0ms (0.8%)

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	4149	42

Stop Event

1×	node limit

Counts

4 → 228

Calls

Call 1

Inputs
(.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))
(*.f32 64/3 u)
(.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
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(sqrt.f32 (fma.f32 u 64/3 8)) (.f32 (sqrt.f32 (fma.f32 u 64/3 8)) (.f32 u u)) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (fma.f32 u 64/3 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 u 64/3))) (.f32 u (sqrt.f32 (.f32 u 64/3))) (fma.f32 u (.f32 u 8) (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 (.f32 u 64/3)) u) (.f32 (sqrt.f32 (.f32 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 64/3) 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 u 64/3)) (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 u 64/3))) (sqrt.f32 (.f32 u 64/3)) (fma.f32 u (.f32 u 8) (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u 64/3) (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 (.f32 u u) (cbrt.f32 (pow.f32 (fma.f32 u 64/3 8) 2))) (cbrt.f32 (fma.f32 u 64/3 8)) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u u) (sqrt.f32 (fma.f32 u 64/3 8))) (sqrt.f32 (fma.f32 u 64/3 8)) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (fma.f32 u 64/3 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 4 (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (.f32 (.f32 u u) (fma.f32 u 64/3 8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 4 (sqrt.f32 u)) (sqrt.f32 u) (.f32 (.f32 u u) (fma.f32 u 64/3 8)))))))

simplify160.0ms (1.4%)

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 → 251

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))

localize98.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))
✓	0.1b	(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
✓	0.2b	(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
✓	0.4b	(*.f32 64/3 (pow.f32 u 3))

Compiler

Compiled 69 to 53 computations (23.2% saved)

series7.0ms (0.1%)

Counts

4 → 39

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	s	@	0	(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
1.0ms	u	@	0	(*.f32 64/3 (pow.f32 u 3))
1.0ms	s	@	inf	(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
0.0ms	s	@	-inf	(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
0.0ms	u	@	inf	(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))

rewrite192.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`log-prod_binary32`
704×	`fma-def_binary32`
354×	`fma-neg_binary32`
276×	`expm1-udef_binary32`
276×	`log1p-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	356	57
2	4515	57

Stop Event

1×	node limit

Counts

4 → 232

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 64/3) (pow.f32 u 3))) (cbrt.f32 (pow.f32 (exp.f32 64/3) (pow.f32 u 3))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 64/3) (pow.f32 u 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 64/3) (pow.f32 u 3)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 64/3) (pow.f32 u 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 64/3 (pow.f32 u 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 64/3 (pow.f32 u 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (cbrt.f32 64/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 64/3) (pow.f32 u 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (pow.f32 u 3) 3) 262144/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 4096/9 (pow.f32 u 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 64/3) (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 64/3 (pow.f32 u 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (pow.f32 u 3) 3) 262144/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 64/3 (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 64/3 (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (fma.f32 3 (log.f32 u) (log.f32 64/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (fma.f32 3 (log.f32 u) (log.f32 64/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 s (.f32 u (.f32 u 8))) (.f32 s (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 s (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4))) (.f32 s (.f32 u (.f32 u 8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 s (fma.f32 64/3 (pow.f32 u 3) (fma.f32 u 4 (.f32 u (.f32 u 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (fma.f32 64/3 (pow.f32 u 3) (.f32 u (.f32 u 8))) s) (.f32 (.f32 u 4) s))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 s (.f32 u (.f32 u 8))) 1) (.f32 (.f32 s (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 s (fma.f32 64/3 (pow.f32 u 3) (.f32 u (.f32 u 8)))) (.f32 s (.f32 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 (fma.f32 64/3 (pow.f32 u 3) (fma.f32 u 4 (.f32 u (.f32 u 8))))) s)) (cbrt.f32 (pow.f32 (exp.f32 (fma.f32 64/3 (pow.f32 u 3) (fma.f32 u 4 (.f32 u (.f32 u 8))))) s)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (fma.f32 64/3 (pow.f32 u 3) (fma.f32 u 4 (.f32 u (.f32 u 8))))) s))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (fma.f32 64/3 (pow.f32 u 3) (fma.f32 u 4 (.f32 u (.f32 u 8))))) s))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (fma.f32 64/3 (pow.f32 u 3) (fma.f32 u 4 (.f32 u (.f32 u 8))))) s))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 s (fma.f32 64/3 (pow.f32 u 3) (fma.f32 u 4 (.f32 u (.f32 u 8))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 s (.f32 u (.f32 u 8))) 3) (pow.f32 (.f32 s (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4))) 3)) (fma.f32 (.f32 s (.f32 u (.f32 u 8))) (.f32 s (.f32 u (.f32 u 8))) (-.f32 (.f32 (.f32 s (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4))) (.f32 s (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)))) (.f32 (.f32 s (.f32 u (.f32 u 8))) (.f32 s (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (.f32 s (.f32 u (.f32 u 8))) (.f32 s (.f32 u (.f32 u 8)))) (.f32 (.f32 s (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4))) (.f32 s (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4))))) (-.f32 (.f32 s (.f32 u (.f32 u 8))) (.f32 s (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 512 (pow.f32 u 6) (pow.f32 (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)) 3)) s) (fma.f32 (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)) (-.f32 (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)) (.f32 u (.f32 u 8))) (.f32 64 (pow.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (.f32 64 (pow.f32 u 4)) (pow.f32 (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)) 2)) s) (-.f32 (.f32 u (.f32 u 8)) (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 s (fma.f32 512 (pow.f32 u 6) (pow.f32 (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)) 3))) (fma.f32 (fma.f32 64/3 (pow.f32 u 3) (.f32 u 4)) (-.f32 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(pow.f32 (.f32 u (cbrt.f32 64/3)) 2) (.f32 u (cbrt.f32 64/3)) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u) 2) (.f32 (cbrt.f32 u) 4) (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (.f32 u 4)) (pow.f32 (cbrt.f32 (.f32 u 4)) 2) (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (.f32 u 4)) 2) (cbrt.f32 (.f32 u 4)) (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 64/3) (pow.f32 u 3/2)) (.f32 (sqrt.f32 64/3) (pow.f32 u 3/2)) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (.f32 (sqrt.f32 u) 4) (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 2 (sqrt.f32 u)) (.f32 2 (sqrt.f32 u)) (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u 3/2) (.f32 (pow.f32 u 3/2) 64/3) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 4 (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 4 (sqrt.f32 u)) (sqrt.f32 u) (.f32 64/3 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 64/3 u) (.f32 u u) (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 64/3 (.f32 u u)) u (.f32 u 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 64/3 (pow.f32 u 3/2)) (pow.f32 u 3/2) (*.f32 u 4))))))

simplify153.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-def_binary32`
578×	`sqr-pow_binary32`
560×	`*-commutative_binary32`
443×	`distribute-lft-out_binary32`
374×	`pow-sqr_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	591
1	78	591
2	189	558
3	491	492
4	1558	456
5	2895	456
6	3660	456
7	3775	456
8	3980	456
9	4260	456
10	4790	456
11	5534	456
12	6364	456
13	6893	456
14	7557	456

Stop Event

1×	node limit

Counts

271 → 253

Calls

Call 1

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

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

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f32 (*.f32 u -4))
✓	0.1b	(cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))
✓	0.2b	(.f32 s (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 3))
✓	0.8b	(pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) 3)

Compiler

Compiled 42 to 33 computations (21.4% saved)

series24.0ms (0.2%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	u	@	inf	(pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) 3)
6.0ms	u	@	-inf	(pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) 3)
3.0ms	s	@	0	(.f32 s (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 3))
3.0ms	u	@	0	(pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) 3)
1.0ms	u	@	inf	(cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`pow1_binary32`
760×	`add-log-exp_binary32`
759×	`expm1-log1p-u_binary32`
758×	`log1p-expm1-u_binary32`
743×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	229	23
2	2406	23

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

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

Outputs

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

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

simplify153.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

667×	`distribute-rgt-in_binary32`
662×	`distribute-lft-in_binary32`
506×	`times-frac_binary32`
429×	`associate-/l*_binary32`
331×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	4442
1	910	3927
2	3584	3862

Stop Event

1×	node limit

Counts

107 → 126

Calls

Call 1

Inputs
(.f32 -1 (.f32 (pow.f32 1 1/3) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (.f32 1/6 (.f32 (pow.f32 (.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 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4)) 1/9) (/.f32 1 u))) (.f32 -1 (.f32 (pow.f32 1 1/3) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))))
(+.f32 (.f32 1/6 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4)) 1/9) (/.f32 1 u))) (+.f32 (.f32 -1/72 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9) (/.f32 1 (pow.f32 u 2)))) (+.f32 (.f32 1/12 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4)) 1/9) (/.f32 1 u))) (+.f32 (.f32 (pow.f32 (.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 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/3) (.f32 (pow.f32 (cbrt.f32 -1) 2) (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9)))))) (.f32 1/144 (.f32 (pow.f32 (/.f32 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 (.f32 (pow.f32 1 1/3) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/3 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))) (pow.f32 u 2)))))))))
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(+.f32 (.f32 (pow.f32 (.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 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/9) (/.f32 (cbrt.f32 -1) u))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3) (/.f32 (.f32 (cbrt.f32 -1) (-.f32 1/192 (+.f32 (.f32 1/1728 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3)) (.f32 -1/6 (.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5)) 1/9)))))) (pow.f32 u 3)))) (.f32 -1/3 (.f32 (/.f32 (.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 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 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3))))))

Outputs
(.f32 -1 (.f32 (pow.f32 1 1/3) (+.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 1/6 (.f32 (pow.f32 (.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 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4)) 1/9) (/.f32 1 u))) (.f32 -1 (.f32 (pow.f32 1 1/3) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))))
(fma.f32 1/6 (.f32 (/.f32 1 u) (.f32 (pow.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 4) 1/18) (pow.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 4) 1/18))) (fma.f32 1/12 (.f32 (/.f32 1 u) (.f32 (pow.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 4) 1/18) (pow.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 4) 1/18))) (neg.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))))
(-.f32 (.f32 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4) 1/18)) u) 1/4) (+.f32 (log.f32 u) (log.f32 -4)))
(-.f32 (*.f32 (/.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4) 1/18) (/.f32 u (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4) 1/18))) 1/4) (+.f32 (log.f32 u) (log.f32 -4)))
(+.f32 (.f32 1/6 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4)) 1/9) (/.f32 1 u))) (+.f32 (.f32 -1/72 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9) (/.f32 1 (pow.f32 u 2)))) (+.f32 (.f32 1/12 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4)) 1/9) (/.f32 1 u))) (+.f32 (.f32 (pow.f32 (.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 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/3) (.f32 (pow.f32 (cbrt.f32 -1) 2) (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9)))))) (.f32 1/144 (.f32 (pow.f32 (/.f32 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 (.f32 (pow.f32 1 1/3) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/3 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))) (pow.f32 u 2)))))))))
(fma.f32 1/6 (.f32 (/.f32 1 u) (.f32 (pow.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 4) 1/18) (pow.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 4) 1/18))) (fma.f32 -1/72 (.f32 (.f32 (pow.f32 (/.f32 1 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) 1/18) (pow.f32 (/.f32 1 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) 1/18)) (/.f32 1 (.f32 u u))) (fma.f32 1/12 (.f32 (/.f32 1 u) (.f32 (pow.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 4) 1/18) (pow.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 4) 1/18))) (fma.f32 (cbrt.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (/.f32 (cbrt.f32 -1) (/.f32 (.f32 u u) (fma.f32 -2/3 (.f32 (.f32 (cbrt.f32 (/.f32 1 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (pow.f32 (cbrt.f32 -1) 2)) (+.f32 1/32 (.f32 (.f32 (pow.f32 (/.f32 1 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) 1/18) (pow.f32 (/.f32 1 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) 1/18)) 1/48))) (.f32 1/144 (.f32 (pow.f32 (cbrt.f32 -1) 2) (.f32 (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 4)) 1/18))))))) (fma.f32 -1 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (.f32 1/3 (/.f32 (+.f32 1/32 (.f32 (.f32 (pow.f32 (/.f32 1 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) 1/18) (pow.f32 (/.f32 1 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) 1/18)) 1/48)) (*.f32 u u))))))))
(fma.f32 1/6 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4) 1/18)) u) (fma.f32 -1/72 (/.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4))) 1/18) (pow.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4))) 1/18)) (.f32 u u)) (fma.f32 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4) 1/18)) u) 1/12 (fma.f32 (cbrt.f32 (+.f32 (log.f32 u) (log.f32 -4))) (.f32 (/.f32 (cbrt.f32 -1) u) (/.f32 (fma.f32 -2/3 (.f32 (cbrt.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4)))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (fma.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4))) 1/18) (pow.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4))) 1/18)) 1/48 1/32))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (.f32 (.f32 1/144 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4)) 1/18)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4)) 1/18)))) u)) (-.f32 (.f32 1/3 (/.f32 (fma.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4))) 1/18) (pow.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4))) 1/18)) 1/48 1/32) (.f32 u u))) (+.f32 (log.f32 u) (log.f32 -4)))))))
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(fma.f32 (cbrt.f32 -1) (cbrt.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18)) (*.f32 (/.f32 (cbrt.f32 -1) u) -1/12)))
(+.f32 (.f32 (pow.f32 (.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 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/9) (/.f32 (cbrt.f32 -1) u))) (.f32 -1/3 (.f32 (/.f32 (.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 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 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3)))))
(fma.f32 (cbrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (cbrt.f32 -1) (fma.f32 -1/12 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2)) 1/18)) (/.f32 (cbrt.f32 -1) u)) (.f32 -1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2))) (/.f32 (+.f32 1/32 (.f32 1/48 (.f32 (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) 1/18) (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) 1/18)))) (/.f32 (*.f32 u u) (cbrt.f32 -1)))))))
(fma.f32 (cbrt.f32 -1) (cbrt.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (fma.f32 -1/12 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18)) (/.f32 (cbrt.f32 -1) u)) (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2))) (/.f32 (.f32 -1/3 (fma.f32 1/48 (*.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18)) 1/32)) (/.f32 u (/.f32 (cbrt.f32 -1) u))))))
(fma.f32 (cbrt.f32 -1) (cbrt.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (fma.f32 -1/3 (.f32 (/.f32 (fma.f32 1/48 (.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18)) 1/32) u) (/.f32 (.f32 (cbrt.f32 -1) (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)))) u)) (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18)) (.f32 (/.f32 (cbrt.f32 -1) u) -1/12))))
(+.f32 (.f32 (pow.f32 (.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 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/9) (/.f32 (cbrt.f32 -1) u))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3) (/.f32 (.f32 (cbrt.f32 -1) (-.f32 1/192 (+.f32 (.f32 1/1728 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3)) (.f32 -1/6 (.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5)) 1/9)))))) (pow.f32 u 3)))) (.f32 -1/3 (.f32 (/.f32 (.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 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 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3))))))
(fma.f32 (cbrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (cbrt.f32 -1) (fma.f32 -1/12 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2)) 1/18)) (/.f32 (cbrt.f32 -1) u)) (.f32 -1/3 (+.f32 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2))) (/.f32 (cbrt.f32 -1) (/.f32 (pow.f32 u 3) (-.f32 1/192 (fma.f32 1/1728 (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2))) (.f32 -1/6 (.f32 (+.f32 1/32 (.f32 1/48 (.f32 (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) 1/18) (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) 1/18)))) (.f32 (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 5)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 5)) 1/18))))))))) (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2))) (/.f32 (+.f32 1/32 (.f32 1/48 (.f32 (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) 1/18) (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) 1/18)))) (/.f32 (*.f32 u u) (cbrt.f32 -1))))))))
(fma.f32 (cbrt.f32 -1) (cbrt.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (fma.f32 -1/12 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18)) (/.f32 (cbrt.f32 -1) u)) (.f32 -1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2))) (+.f32 (.f32 (/.f32 (cbrt.f32 -1) (pow.f32 u 3)) (-.f32 1/192 (fma.f32 1/1728 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2))) (.f32 (fma.f32 1/48 (.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18)) 1/32) (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5)) 1/18)) -1/6))))) (.f32 (/.f32 (fma.f32 1/48 (.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18)) 1/32) (.f32 u u)) (cbrt.f32 -1)))))))
(fma.f32 (cbrt.f32 -1) (cbrt.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (fma.f32 -1/12 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18)) (/.f32 (cbrt.f32 -1) u)) (.f32 -1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2))) (.f32 (/.f32 (cbrt.f32 -1) u) (+.f32 (/.f32 (-.f32 1/192 (fma.f32 -1/6 (.f32 (fma.f32 1/48 (.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18)) 1/32) (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5)) 1/18))) (.f32 1/1728 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)))))) (.f32 u u)) (/.f32 (fma.f32 1/48 (*.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18)) 1/32) u)))))))

eval912.0ms (7.7%)

Compiler: Compiled 26057 to 20219 computations (22.4% saved)

prune262.0ms (2.2%)

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	970	10	980
Fresh	8	6	14
Picked	0	1	1
Done	2	4	6
Total	980	21	1001

Error

0.0b

Counts

1001 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	2.6b	(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
	1.7b	(.f32 s (pow.f32 (E.f32) (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))
	2.3b	(fma.f32 (.f32 u 4) s (.f32 (.f32 u u) (.f32 (fma.f32 u 64/3 8) s)))
	3.8b	(.f32 (.f32 s u) (fma.f32 8 u 4))
✓	0.2b	(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
	3.6b	(.f32 u (+.f32 (.f32 4 s) (.f32 (.f32 8 s) u)))
▶	0.5b	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
✓	8.2b	(.f32 4 (.f32 u s))
	3.8b	(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
	1.9b	(+.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))))
	3.7b	(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
▶	0.4b	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))))
▶	1.9b	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (.f32 u (+.f32 4 (*.f32 u 8)))))
	2.4b	(+.f32 (.f32 (.f32 u u) (.f32 (fma.f32 u 64/3 8) s)) (.f32 u (*.f32 4 s)))
▶	2.5b	(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
✓	12.6b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
▶	8.1b	(.f32 (.f32 u 4) s)
	3.9b	(.f32 s (pow.f32 (cbrt.f32 (neg.f32 (.f32 u (+.f32 -4 (*.f32 u -8))))) 3))
✓	0.7b	(.f32 s (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 3))
	3.7b	(.f32 (.f32 u (+.f32 4 (*.f32 u 8))) s)
✓	2.4b	(.f32 s (+.f32 (.f32 u 4) (.f32 (.f32 u u) (+.f32 (*.f32 64/3 u) 8))))

Compiler

Compiled 515 to 382 computations (25.8% saved)

localize167.0ms (1.4%)

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)))))
✓	0.3b	(.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))

Compiler

Compiled 46 to 37 computations (19.6% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u	@	inf	(.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))
1.0ms	u	@	0	(.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))
0.0ms	u	@	-inf	(.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))
0.0ms	u	@	inf	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))))
0.0ms	u	@	-inf	(.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (*.f32 u -4)))))

rewrite64.0ms (0.5%)

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)))))))

simplify76.0ms (0.6%)

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)))))

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`pow1_binary32`
509×	`add-log-exp_binary32`
509×	`log1p-expm1-u_binary32`
509×	`expm1-log1p-u_binary32`
499×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1392	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify20.0ms (0.2%)

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	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

35 → 12

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))

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))

localize117.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 40 computations (27.3% saved)

series27.0ms (0.2%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
21.0ms	s	@	-inf	(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
1.0ms	s	@	0	(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
1.0ms	s	@	inf	(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
1.0ms	u	@	-inf	(.f32 u (+.f32 8 (.f32 u 64/3)))
1.0ms	u	@	-inf	(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`log-prod_binary32`
550×	`prod-diff_binary32`
338×	`fma-def_binary32`
244×	`pow1/3_binary32`
237×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	276	39
2	3798	39

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

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

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

simplify189.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1007×	`fma-def_binary32`
562×	`distribute-rgt-in_binary32`
507×	`distribute-lft-in_binary32`
473×	`distribute-lft-out_binary32`
409×	`*-commutative_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	720
1	94	657
2	206	598
3	521	594
4	1780	594
5	3613	594
6	4548	594
7	4774	594
8	5178	594
9	5832	594
10	6876	594
11	7590	594

Stop Event

1×	node limit

Counts

220 → 188

Calls

Call 1

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

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

localize157.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 80 to 60 computations (25% saved)

series9.0ms (0.1%)

Counts

4 → 57

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	s	@	0	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (.f32 u (+.f32 4 (*.f32 u 8)))))
1.0ms	u	@	0	(.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3))
1.0ms	u	@	-inf	(.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3))
1.0ms	u	@	inf	(.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3))
1.0ms	s	@	inf	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (.f32 u (+.f32 4 (*.f32 u 8)))))

rewrite114.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`fma-def_binary32`
376×	`fma-neg_binary32`
320×	`expm1-udef_binary32`
320×	`log1p-udef_binary32`
246×	`log-pow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	50
1	395	46
2	5362	46

Stop Event

1×	node limit

Counts

4 → 210

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u (.f32 64 (pow.f32 u 3))) (.f32 (pow.f32 u 3) 64/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 u 3) 64/3) (.f32 u (.f32 64 (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u (.f32 64 (pow.f32 u 3))) 1) (.f32 (.f32 (pow.f32 u 3) 64/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 u 3) (fma.f32 u 64 64/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 u (.f32 64 (pow.f32 u 3))) 3) (pow.f32 (.f32 (pow.f32 u 3) 64/3) 3)) (fma.f32 (.f32 u (.f32 64 (pow.f32 u 3))) (.f32 u (.f32 64 (pow.f32 u 3))) (-.f32 (.f32 (.f32 (pow.f32 u 3) 64/3) (.f32 (pow.f32 u 3) 64/3)) (.f32 (.f32 u (.f32 64 (pow.f32 u 3))) (.f32 (pow.f32 u 3) 64/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (.f32 u (.f32 64 (pow.f32 u 3))) (.f32 u (.f32 64 (pow.f32 u 3)))) (.f32 (.f32 (pow.f32 u 3) 64/3) (.f32 (pow.f32 u 3) 64/3))) (-.f32 (.f32 u (.f32 64 (pow.f32 u 3))) (.f32 (pow.f32 u 3) 64/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 (pow.f32 u 3) 262144 262144/27) (pow.f32 u 3)) (-.f32 (fma.f32 4096 (.f32 u u) 4096/9) (.f32 u 4096/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 4096 (.f32 u u) -4096/9) (pow.f32 u 3)) (fma.f32 u 64 -64/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 u 3) (fma.f32 (pow.f32 u 3) 262144 262144/27)) (-.f32 (fma.f32 4096 (.f32 u u) 4096/9) (.f32 u 4096/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 u 3) (fma.f32 4096 (.f32 u u) -4096/9)) (fma.f32 u 64 -64/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 u 3) (fma.f32 u 64 64/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (cbrt.f32 (fma.f32 u 64 64/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (fma.f32 u 64 64/3)) (pow.f32 u 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (pow.f32 u 3) (fma.f32 u 64 64/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 (fma.f32 u 64 64/3) 2) (pow.f32 u 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (fma.f32 u 64 64/3)) (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 u 3) (fma.f32 u 64 64/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (exp.f32 (.f32 (pow.f32 u 3) 64/3)) (exp.f32 (.f32 u (.f32 64 (pow.f32 u 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (pow.f32 u 3) (fma.f32 u 64 64/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (pow.f32 u 3) (fma.f32 u 64 64/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (pow.f32 u 3) (fma.f32 u 64 64/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (pow.f32 u 3) (fma.f32 u 64 64/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (pow.f32 u 3) (fma.f32 u 64 64/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u (.f32 64 (pow.f32 u 3)) (.f32 (pow.f32 u 3) 64/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u (.f32 (.f32 u u) (.f32 u 64)) (.f32 (pow.f32 u 3) 64/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u (.f32 (.f32 u u) 64/3) (.f32 u (.f32 64 (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u 3) (.f32 u 64) (.f32 (pow.f32 u 3) 64/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u 3) 64/3 (.f32 u (.f32 64 (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 64 (.f32 u (pow.f32 u 3)) (.f32 (pow.f32 u 3) 64/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u 64) (pow.f32 u 3) (.f32 (pow.f32 u 3) 64/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 64/3 (pow.f32 u 3) (.f32 u (.f32 64 (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 u (.f32 64 (pow.f32 u 3))) (.f32 (pow.f32 u 3) 64/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 (pow.f32 u 3) 64/3) (.f32 u (.f32 64 (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u u) (.f32 u (.f32 u 64)) (.f32 (pow.f32 u 3) 64/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u u) (.f32 u 64/3) (.f32 u (.f32 64 (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (.f32 4 (cbrt.f32 u)) 2) (.f32 (.f32 4 (cbrt.f32 u)) (pow.f32 u 3)) (.f32 (pow.f32 u 3) 64/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 8 (sqrt.f32 u)) (.f32 (.f32 8 (sqrt.f32 u)) (pow.f32 u 3)) (.f32 (pow.f32 u 3) 64/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u 3/2) (.f32 (pow.f32 u 3/2) (.f32 u 64)) (.f32 (pow.f32 u 3) 64/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u 3/2) (.f32 (pow.f32 u 3/2) 64/3) (.f32 u (.f32 64 (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (.f32 64 (pow.f32 u 3))) 1 (.f32 (.f32 (pow.f32 u 3) 64/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (cbrt.f32 (.f32 u (.f32 64 (pow.f32 u 3)))) (cbrt.f32 (.f32 u (.f32 64 (pow.f32 u 3))))) (cbrt.f32 (.f32 u (.f32 64 (pow.f32 u 3)))) (.f32 (pow.f32 u 3) 64/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (cbrt.f32 (.f32 (pow.f32 u 3) 64/3)) (cbrt.f32 (.f32 (pow.f32 u 3) 64/3))) (cbrt.f32 (.f32 (pow.f32 u 3) 64/3)) (.f32 u (.f32 64 (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u (.f32 64 (pow.f32 u 3)))) (sqrt.f32 (.f32 u (.f32 64 (pow.f32 u 3)))) (.f32 (pow.f32 u 3) 64/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 (pow.f32 u 3) 64/3)) (sqrt.f32 (.f32 (pow.f32 u 3) 64/3)) (.f32 u (.f32 64 (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 8 (sqrt.f32 u)) (pow.f32 u 3/2)) (.f32 (.f32 8 (sqrt.f32 u)) (pow.f32 u 3/2)) (.f32 (pow.f32 u 3) 64/3))))) (#(struct:change #<rule egg-rr> (2) ((x 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(pow.f32 u 3) s) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (pow.f32 u 3) (fma.f32 u 64 64/3)) s (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (fma.f32 u 8 4) (.f32 u s) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (fma.f32 u 8 4)) s (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 s (.f32 (pow.f32 u 3) (fma.f32 u 64 64/3)) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 s (.f32 u (fma.f32 u 8 4)) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 u (.f32 (fma.f32 u 8 4) s)) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 s) 2) (.f32 (cbrt.f32 s) (.f32 u (fma.f32 u 8 4))) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 s) 2) (.f32 (cbrt.f32 s) (.f32 (pow.f32 u 3) (fma.f32 u 64 64/3))) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (.f32 u (cbrt.f32 (fma.f32 u 64 64/3))) 2) (.f32 (.f32 u (cbrt.f32 (fma.f32 u 64 64/3))) s) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 (.f32 u (fma.f32 u 8 4)) 2)) (.f32 (cbrt.f32 (.f32 u (fma.f32 u 8 4))) s) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 s) (.f32 (sqrt.f32 s) (.f32 u (fma.f32 u 8 4))) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 s) (.f32 (sqrt.f32 s) (.f32 (pow.f32 u 3) (fma.f32 u 64 64/3))) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 (fma.f32 u 64 64/3)) (pow.f32 u 3/2)) (.f32 (.f32 (sqrt.f32 (fma.f32 u 64 64/3)) (pow.f32 u 3/2)) s) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u (fma.f32 u 8 4))) (.f32 (sqrt.f32 (.f32 u (fma.f32 u 8 4))) s) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)) 1 (.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (cbrt.f32 (.f32 u (.f32 (fma.f32 u 8 4) s))) (cbrt.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)))) (cbrt.f32 (.f32 u (.f32 (fma.f32 u 8 4) s))) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (cbrt.f32 (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s))) (cbrt.f32 (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))) (cbrt.f32 (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s))) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u (.f32 (fma.f32 u 8 4) s))) (sqrt.f32 (.f32 u (.f32 (fma.f32 u 8 4) s))) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s))) (sqrt.f32 (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s))) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 s) (sqrt.f32 (.f32 u (fma.f32 u 8 4)))) (.f32 (sqrt.f32 s) (sqrt.f32 (.f32 u (fma.f32 u 8 4)))) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 (sqrt.f32 (fma.f32 u 64 64/3)) (pow.f32 u 3/2)) (sqrt.f32 s)) (.f32 (.f32 (sqrt.f32 (fma.f32 u 64 64/3)) (pow.f32 u 3/2)) (sqrt.f32 s)) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 (.f32 u (fma.f32 u 8 4))) (sqrt.f32 s)) (.f32 (sqrt.f32 (.f32 u (fma.f32 u 8 4))) (sqrt.f32 s)) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 s) (.f32 (sqrt.f32 (fma.f32 u 64 64/3)) (pow.f32 u 3/2))) (.f32 (sqrt.f32 s) (.f32 (sqrt.f32 (fma.f32 u 64 64/3)) (pow.f32 u 3/2))) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 s u) (fma.f32 u 8 4) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 s (fma.f32 u 8 4)) u (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 s (cbrt.f32 (pow.f32 (.f32 u (fma.f32 u 8 4)) 2))) (cbrt.f32 (.f32 u (fma.f32 u 8 4))) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 s (sqrt.f32 (.f32 u (fma.f32 u 8 4)))) (sqrt.f32 (.f32 u (fma.f32 u 8 4))) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 (pow.f32 u 3) (fma.f32 u 64 64/3)) (pow.f32 (cbrt.f32 s) 2)) (cbrt.f32 s) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 (pow.f32 u 3) (fma.f32 u 64 64/3)) (sqrt.f32 s)) (sqrt.f32 s) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u (fma.f32 u 8 4)) (pow.f32 (cbrt.f32 s) 2)) (cbrt.f32 s) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u (fma.f32 u 8 4)) (sqrt.f32 s)) (sqrt.f32 s) (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 s (pow.f32 u 3)) (fma.f32 u 64 64/3) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 s (fma.f32 u 64 64/3)) (pow.f32 u 3) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 s (pow.f32 (.f32 u (cbrt.f32 (fma.f32 u 64 64/3))) 2)) (.f32 u (cbrt.f32 (fma.f32 u 64 64/3))) (.f32 u (.f32 (fma.f32 u 8 4) s)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 s (.f32 (sqrt.f32 (fma.f32 u 64 64/3)) (pow.f32 u 3/2))) (.f32 (sqrt.f32 (fma.f32 u 64 64/3)) (pow.f32 u 3/2)) (.f32 u (.f32 (fma.f32 u 8 4) s)))))))

simplify148.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1321×	`distribute-lft-in_binary32`
1103×	`distribute-rgt-in_binary32`
829×	`distribute-rgt-out_binary32`
629×	`associate-l_binary32`
396×	`associate-r_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	834
1	137	765
2	332	713
3	1062	705
4	3489	704
5	5519	704
6	5593	704
7	5701	704
8	5840	704
9	6016	704
10	6235	704

Stop Event

1×	node limit

Counts

267 → 240

Calls

Call 1

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

localize82.0ms (0.7%)

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)
✓	1.1b	(sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))

Compiler

Compiled 43 to 32 computations (25.6% saved)

series50.0ms (0.4%)

Counts

3 → 40

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	s	@	inf	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
6.0ms	s	@	-inf	(sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))
4.0ms	s	@	0	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
4.0ms	u	@	0	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
4.0ms	u	@	-inf	(sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))

rewrite91.0ms (0.8%)

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	35
1	228	29
2	2384	29

Stop Event

1×	node limit

Counts

3 → 73

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

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)))))))

((#(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 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (log1p.f32 (*.f32 u -4)) s) 2) 1/2)))) (#(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 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)))))))

simplify113.0ms (1%)

Algorithm

1×	egg-herbie

Rules

548×	`times-frac_binary32`
469×	`associate-l_binary32`
434×	`associate-r_binary32`
433×	`associate-/l*_binary32`
356×	`associate-+l+_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2080
1	554	1729
2	2099	1579

Stop Event

1×	node limit

Counts

113 → 117

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

eval505.0ms (4.3%)

Compiler: Compiled 15975 to 11800 computations (26.1% saved)

prune383.0ms (3.2%)

Pruning

29 alts after pruning (20 fresh and 9 done)

	Pruned	Kept	Total
New	762	14	776
Fresh	5	6	11
Picked	0	1	1
Done	1	8	9
Total	768	29	797

Error

0.0b

Counts

797 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	2.5b	(.f32 u (.f32 s (+.f32 4 (.f32 u (+.f32 8 (.f32 64/3 u))))))
	3.9b	(.f32 s (pow.f32 (cbrt.f32 (neg.f32 (.f32 u (+.f32 -4 (*.f32 u -8))))) 3))
▶	1.9b	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (/.f32 (-.f32 (.f32 (.f32 u 4) (.f32 u 4)) (.f32 (.f32 u (.f32 u 8)) (.f32 u (.f32 u 8)))) (-.f32 (.f32 u 4) (.f32 u (.f32 u 8))))))
✓	0.7b	(.f32 s (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 3))
	2.6b	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (.f32 u (+.f32 -4 (.f32 u (+.f32 -8 (.f32 u -64/3)))))))))
	1.9b	(+.f32 (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)) (.f32 u (.f32 (fma.f32 u 8 4) s)))
	3.7b	(.f32 u (.f32 s (+.f32 4 (*.f32 u 8))))
✓	0.2b	(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
▶	2.5b	(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (*.f32 u 64/9)))))))
	3.8b	(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
	3.7b	(.f32 (.f32 u (+.f32 4 (*.f32 u 8))) s)
	3.7b	(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u 8/3)))))
	3.6b	(.f32 u (+.f32 (.f32 4 s) (.f32 (.f32 8 s) u)))
✓	0.5b	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
✓	8.2b	(.f32 4 (.f32 u s))
✓	0.4b	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))))
	2.5b	(+.f32 (.f32 (.f32 u (fma.f32 u 64/3 8)) (.f32 u s)) (.f32 4 (*.f32 u s)))
	1.9b	(+.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))))
▶	3.7b	(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
▶	8.1b	(.f32 s (.f32 3 (*.f32 4/3 u)))
✓	1.9b	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (.f32 u (+.f32 4 (*.f32 u 8)))))
	2.3b	(fma.f32 (.f32 u 4) s (.f32 (.f32 (fma.f32 u 64/3 8) (.f32 u u)) s))
	3.8b	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (.f32 u (+.f32 -4 (*.f32 u -8)))) s)) 2)
✓	2.5b	(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
✓	12.6b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
✓	8.1b	(.f32 (.f32 u 4) s)
	2.6b	(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) u) 4) (.f32 s u))
	1.7b	(.f32 s (pow.f32 (E.f32) (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))
▶	0.7b	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (.f32 u -4))))) s)) 2)

Compiler

Compiled 784 to 587 computations (25.1% saved)

localize202.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (*.f32 u -4))))
✓	0.4b	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (.f32 u -4))))) s)) 2)
✓	0.5b	(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2)
✓	1.1b	(sqrt.f32 (.f32 (neg.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (.f32 u -4))))) s))

Compiler

Compiled 104 to 85 computations (18.3% saved)

series19.0ms (0.2%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	u	@	-inf	(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2)
2.0ms	u	@	inf	(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2)
1.0ms	u	@	0	(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2)
1.0ms	u	@	0	(sqrt.f32 (.f32 (neg.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (.f32 u -4))))) s))
1.0ms	u	@	inf	(sqrt.f32 (.f32 (neg.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (.f32 u -4))))) s))

rewrite109.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`pow1_binary32`
872×	`add-log-exp_binary32`
870×	`expm1-log1p-u_binary32`
869×	`log1p-expm1-u_binary32`
120×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	297	37
2	2951	37

Stop Event

1×	node limit

Counts

4 → 99

Calls

Call 1

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

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

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Rules

676×	`associate-/l*_binary32`
601×	`associate-/r*_binary32`
361×	`distribute-rgt-in_binary32`
353×	`distribute-lft-in_binary32`
341×	`associate-*l/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	3187
1	838	2715
2	3187	2559

Stop Event

1×	node limit

Counts

135 → 171

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)))))))
(pow.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) 1/3)
(+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) 1/3) (.f32 -1/6 (.f32 (pow.f32 (.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9) (/.f32 1 u))))
(+.f32 (.f32 1/144 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4)) 1/9) (/.f32 1 (pow.f32 u 2)))) (+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) 1/3) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9) (/.f32 1 u))) (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/3) (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))) (pow.f32 u 2)))))))
(+.f32 (.f32 1/144 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4)) 1/9) (/.f32 1 (pow.f32 u 2)))) (+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) 1/3) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/3) (/.f32 (+.f32 (.f32 1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 5)) 1/9) (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))))) (+.f32 1/192 (.f32 -1/1728 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2)) 1/3)))) (pow.f32 u 3)))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9) (/.f32 1 u))) (+.f32 (.f32 1/18 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 8)) 1/9) (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))) (pow.f32 u 3)))) (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/3) (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))) (pow.f32 u 2)))))))))
(pow.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3)
(+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3) (.f32 -1/6 (.f32 (pow.f32 (.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9) (/.f32 1 u))))
(+.f32 (.f32 1/144 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4)) 1/9) (/.f32 1 (pow.f32 u 2)))) (+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3) (+.f32 (.f32 -2/3 (.f32 (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 u 2)) (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/3))) (.f32 -1/6 (.f32 (pow.f32 (.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9) (/.f32 1 u))))))
(+.f32 (.f32 1/144 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4)) 1/9) (/.f32 1 (pow.f32 u 2)))) (+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/18 (.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 8)) 1/9))) (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/3) (-.f32 1/192 (+.f32 (.f32 1/1728 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3)) (.f32 -1/6 (.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5)) 1/9)))))))) (pow.f32 u 3))) (+.f32 (.f32 -2/3 (.f32 (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 u 2)) (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/3))) (.f32 -1/6 (.f32 (pow.f32 (.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9) (/.f32 1 u)))))))
(.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))))))))
(*.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 (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 (.f32 -1/8 (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)))
(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)))
(+.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))))))
(fma.f32 (sqrt.f32 (.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (sqrt.f32 -1) (fma.f32 -1/8 (.f32 (sqrt.f32 (/.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (/.f32 (sqrt.f32 -1) u)) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 (/.f32 1 s) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))))) (/.f32 (sqrt.f32 -1) (/.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)))))))
(fma.f32 (sqrt.f32 (.f32 s (+.f32 (log.f32 u) (log.f32 -4)))) (sqrt.f32 -1) (fma.f32 -1/8 (.f32 (sqrt.f32 (/.f32 s (+.f32 (log.f32 u) (log.f32 -4)))) (/.f32 (sqrt.f32 -1) u)) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 (/.f32 1 s) (+.f32 (log.f32 u) (log.f32 -4))))) (/.f32 (.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)))))))
(fma.f32 (sqrt.f32 (.f32 s (+.f32 (log.f32 u) (log.f32 -4)))) (sqrt.f32 -1) (fma.f32 -1/8 (.f32 (sqrt.f32 (/.f32 s (+.f32 (log.f32 u) (log.f32 -4)))) (/.f32 (sqrt.f32 -1) u)) (.f32 (/.f32 (.f32 1/2 (sqrt.f32 -1)) (/.f32 (.f32 u u) (fma.f32 s -1/32 (/.f32 (.f32 -1/64 s) (+.f32 (log.f32 u) (log.f32 -4)))))) (sqrt.f32 (/.f32 (/.f32 1 s) (+.f32 (log.f32 u) (log.f32 -4)))))))
(+.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)))))))
(fma.f32 (sqrt.f32 (.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (sqrt.f32 -1) (fma.f32 -1/8 (.f32 (sqrt.f32 (/.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (/.f32 (sqrt.f32 -1) u)) (.f32 1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 (/.f32 1 s) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (/.f32 (sqrt.f32 -1) (/.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 (sqrt.f32 (/.f32 (/.f32 1 s) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (/.f32 (sqrt.f32 -1) (/.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)))))))))
(fma.f32 (sqrt.f32 (.f32 s (+.f32 (log.f32 u) (log.f32 -4)))) (sqrt.f32 -1) (fma.f32 -1/8 (.f32 (sqrt.f32 (/.f32 s (+.f32 (log.f32 u) (log.f32 -4)))) (/.f32 (sqrt.f32 -1) u)) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 (/.f32 1 s) (+.f32 (log.f32 u) (log.f32 -4)))) (+.f32 (.f32 (/.f32 (sqrt.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 (/.f32 (sqrt.f32 -1) u) (/.f32 (-.f32 (.f32 s -1/32) (pow.f32 (*.f32 -1/8 (sqrt.f32 (/.f32 s (+.f32 (log.f32 u) (log.f32 -4))))) 2)) u)))))))
(fma.f32 (sqrt.f32 (.f32 s (+.f32 (log.f32 u) (log.f32 -4)))) (sqrt.f32 -1) (fma.f32 -1/8 (.f32 (sqrt.f32 (/.f32 s (+.f32 (log.f32 u) (log.f32 -4)))) (/.f32 (sqrt.f32 -1) u)) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 (/.f32 1 s) (+.f32 (log.f32 u) (log.f32 -4)))) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u u)) (+.f32 (/.f32 (fma.f32 s -1/192 (.f32 (/.f32 (fma.f32 s -1/32 (/.f32 (.f32 -1/64 s) (+.f32 (log.f32 u) (log.f32 -4)))) (+.f32 (log.f32 u) (log.f32 -4))) 1/8)) u) (fma.f32 s -1/32 (/.f32 (*.f32 -1/64 s) (+.f32 (log.f32 u) (log.f32 -4))))))))))
(.f32 (sqrt.f32 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (sqrt.f32 -1))
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(+.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 s (/.f32 u (pow.f32 (sqrt.f32 -1) 2))) (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 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (.f32 u u)) (.f32 (.f32 s (pow.f32 (sqrt.f32 -1) 2)) (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)))))))
(+.f32 (.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 (/.f32 (.f32 1/4 s) u) (-.f32 (fma.f32 s (.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) -1) (/.f32 (/.f32 (.f32 -1/64 s) (.f32 u 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 (fma.f32 s (+.f32 (log.f32 (/.f32 -1 u)) (neg.f32 (log.f32 4))) (.f32 (/.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (/.f32 -1/64 (.f32 u u)))) (/.f32 (fma.f32 (fma.f32 s 1/192 (.f32 -1/8 (/.f32 (fma.f32 s -1/32 (/.f32 (.f32 -1/64 s) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))) -1 (.f32 -1/8 (/.f32 (fma.f32 s -1/32 (/.f32 (.f32 -1/64 s) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))) (pow.f32 u 3))) (+.f32 (/.f32 1/4 (/.f32 u s)) (/.f32 (neg.f32 (fma.f32 s -1/32 (/.f32 (.f32 -1/64 s) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))) (.f32 u u))))
(*.f32 -4 u)
(*.f32 u -4)
(+.f32 (.f32 -4 u) (.f32 -8 (pow.f32 u 2)))
(fma.f32 -4 u (.f32 (.f32 u u) -8))
(fma.f32 u -4 (.f32 u (.f32 u -8)))
(.f32 u (+.f32 -4 (.f32 -8 u)))
(+.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 u -4 (fma.f32 (.f32 u u) -8 (.f32 (pow.f32 u 3) -64/3)))
(fma.f32 u -4 (.f32 (.f32 u u) (+.f32 -8 (*.f32 -64/3 u))))
(+.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 u -4 (fma.f32 (.f32 u u) -8 (fma.f32 (pow.f32 u 3) -64/3 (.f32 -64 (pow.f32 u 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 (.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 (+.f32 (log.f32 u) (-.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 (+.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 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))) (/.f32 1/192 (pow.f32 u 3))))
(+.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 (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 -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) (/.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) (-.f32 (/.f32 -1/4 u) (/.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 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u 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 1/32 (*.f32 u u)) (/.f32 1/192 (pow.f32 u 3)))))
(+.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (+.f32 (-.f32 (/.f32 -1/4 u) (/.f32 1/32 (*.f32 u u))) (/.f32 -1/192 (pow.f32 u 3))))

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

series6.0ms (0%)

Counts

3 → 36

Calls

12 calls:

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

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`pow1_binary32`
685×	`add-log-exp_binary32`
684×	`log1p-expm1-u_binary32`
684×	`expm1-log1p-u_binary32`
673×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	165	15
2	1868	15

Stop Event

1×	node limit

Counts

3 → 35

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 4/3 u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 4/3 u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 4/3 u) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 4/3 u)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 4/3 u)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 16/9 (*.f32 u u)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 4/3) u))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 4/3 u) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 4/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 4/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 4/3 u)))))))

((#(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 (*.f32 2 (sqrt.f32 u)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 16 (*.f32 u u)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 4) u))))) (#(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)))))))

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	216
1	12	216
2	17	216

Stop Event

1×

saturated

Counts

71 → 38

Calls

Call 1

Inputs
(*.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)
(.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))

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

localize60.0ms (0.5%)

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)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u	@	inf	(+.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))))
0.0ms	s	@	-inf	(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))

rewrite77.0ms (0.7%)

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

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

simplify212.0ms (1.8%)

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))

localize61.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 u (+.f32 8/3 (.f32 u 64/9)))
✓	0.3b	(.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (*.f32 u 64/9)))))
✓	0.3b	(+.f32 8/3 (*.f32 u 64/9))
✓	0.3b	(.f32 3 (.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (.f32 u 64/9))))))

Compiler

Compiled 71 to 53 computations (25.4% saved)

series55.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
50.0ms	u	@	0	(+.f32 8/3 (*.f32 u 64/9))
1.0ms	u	@	0	(.f32 3 (.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (.f32 u 64/9))))))
1.0ms	u	@	-inf	(.f32 3 (.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (.f32 u 64/9))))))
1.0ms	u	@	inf	(.f32 3 (.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (.f32 u 64/9))))))
0.0ms	u	@	inf	(.f32 u (+.f32 8/3 (.f32 u 64/9)))

rewrite111.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`log-prod_binary32`
556×	`prod-diff_binary32`
345×	`fma-def_binary32`
338×	`pow2_binary32`
235×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	275	40
2	3704	40

Stop Event

1×	node limit

Counts

4 → 181

Calls

Call 1

Inputs
(.f32 3 (.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (.f32 u 64/9))))))
(+.f32 8/3 (*.f32 u 64/9))
(.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (*.f32 u 64/9)))))
(.f32 u (+.f32 8/3 (.f32 u 64/9)))

Outputs
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(cbrt.f32 u) (.f32 u (.f32 u (fma.f32 u 64/9 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 4/3 (sqrt.f32 u)) (sqrt.f32 u) (.f32 u (.f32 u (fma.f32 u 64/9 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (pow.f32 (cbrt.f32 (.f32 u (fma.f32 u 64/9 8/3))) 2)) (cbrt.f32 (.f32 u (fma.f32 u 64/9 8/3))) (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (sqrt.f32 (.f32 u (fma.f32 u 64/9 8/3)))) (sqrt.f32 (.f32 u (fma.f32 u 64/9 8/3))) (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u (fma.f32 u 64/9 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 (fma.f32 u 64/9 8/3)) (sqrt.f32 u)) (sqrt.f32 u) (*.f32 u 4/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u 8/3) (.f32 u (.f32 u 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u (.f32 u 64/9)) (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u (fma.f32 u 64/9 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u 8/3) 1) (.f32 (.f32 u (.f32 u 64/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (fma.f32 u 64/9 8/3)) u)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (fma.f32 u 64/9 8/3)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (fma.f32 u 64/9 8/3)) u))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (fma.f32 u 64/9 8/3)) u))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u (fma.f32 u 64/9 8/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 u 8/3) 3) (pow.f32 (.f32 u (.f32 u 64/9)) 3)) (fma.f32 u (.f32 u 64/9) (-.f32 (pow.f32 (.f32 u (.f32 u 64/9)) 2) (.f32 (.f32 u 8/3) (.f32 u (.f32 u 64/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 u (.f32 u 64/9)) (pow.f32 (.f32 u (.f32 u 64/9)) 2)) (-.f32 (.f32 u 8/3) (.f32 u (.f32 u 64/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 262144/729 (pow.f32 u 3) 512/27) u) (fma.f32 (.f32 u 64/9) (fma.f32 u 64/9 -8/3) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 64/9 (pow.f32 (.f32 u 64/9) 2)) u) (+.f32 8/3 (.f32 -64/9 u)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (fma.f32 262144/729 (pow.f32 u 3) 512/27)) (fma.f32 (.f32 u 64/9) (fma.f32 u 64/9 -8/3) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (-.f32 64/9 (pow.f32 (.f32 u 64/9) 2))) (+.f32 8/3 (.f32 -64/9 u)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (fma.f32 u 64/9 8/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u (fma.f32 u 64/9 8/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u (fma.f32 u 64/9 8/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u (fma.f32 u 64/9 8/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u (fma.f32 u 64/9 8/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (fma.f32 u 64/9 8/3)) u))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u (fma.f32 u 64/9 8/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (exp.f32 (.f32 u (.f32 u 64/9))) (exp.f32 (.f32 u 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u (fma.f32 u 64/9 8/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u (fma.f32 u 64/9 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u (fma.f32 u 64/9 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u (fma.f32 u 64/9 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u (fma.f32 u 64/9 8/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u 8/3 (.f32 u (.f32 u 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u (.f32 u 64/9) (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 8/3 u (.f32 u (.f32 u 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 64/9 (.f32 u u) (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u 64/9) u (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 u 8/3) (.f32 u (.f32 u 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 u (.f32 u 64/9)) (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u u) 64/9 (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u) 2) (.f32 (cbrt.f32 u) (.f32 u 64/9)) (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u) 2) (.f32 (cbrt.f32 u) 8/3) (.f32 u (.f32 u 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 (.f32 u 64/9) 2)) (.f32 (cbrt.f32 (.f32 u 64/9)) u) (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (.f32 8/3 (sqrt.f32 u)) (.f32 u (.f32 u 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (.f32 (sqrt.f32 u) (.f32 u 64/9)) (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 8/3 (sqrt.f32 u)) (sqrt.f32 u) (.f32 u (.f32 u 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 8/3 (sqrt.f32 u)) (.f32 (.f32 8/3 (sqrt.f32 u)) u) (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u 8/3) 1 (.f32 (.f32 u (.f32 u 64/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u 8/3) (.f32 u 8/3) (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (.f32 u 8/3)) 2) (cbrt.f32 (.f32 u 8/3)) (.f32 u (.f32 u 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (.f32 u (.f32 u 64/9))) 2) (cbrt.f32 (.f32 u (.f32 u 64/9))) (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u 8/3)) (sqrt.f32 (.f32 u 8/3)) (.f32 u (.f32 u 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u (.f32 u 64/9))) (sqrt.f32 (.f32 u (.f32 u 64/9))) (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 8/3 (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (.f32 u (.f32 u 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (cbrt.f32 (pow.f32 (.f32 u 64/9) 2))) (cbrt.f32 (.f32 u 64/9)) (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (.f32 8/3 (sqrt.f32 u))) (.f32 8/3 (sqrt.f32 u)) (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u 64/9) (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (.f32 u 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u 64/9) (sqrt.f32 u)) (sqrt.f32 u) (*.f32 u 8/3))))))

simplify215.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-def_binary32`
750×	`sqr-pow_binary32`
676×	`pow-sqr_binary32`
664×	`cube-prod_binary32`
568×	`fabs-mul_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	501
1	78	501
2	147	440
3	363	408
4	1041	384
5	1807	384
6	2513	384
7	2702	384
8	2868	384
9	3055	384
10	3310	384
11	3642	384
12	4051	384
13	4579	384
14	5239	384
15	6063	384
16	6460	384
17	6826	384
18	7160	384
19	7410	384
20	7638	384

Stop Event

1×	node limit

Counts

229 → 211

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 64/3 (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))))
8/3
(+.f32 (*.f32 64/9 u) 8/3)
(+.f32 (*.f32 64/9 u) 8/3)
(+.f32 (*.f32 64/9 u) 8/3)
(*.f32 64/9 u)
(+.f32 8/3 (*.f32 64/9 u))
(+.f32 8/3 (*.f32 64/9 u))
(+.f32 8/3 (*.f32 64/9 u))
(*.f32 64/9 u)
(+.f32 8/3 (*.f32 64/9 u))
(+.f32 8/3 (*.f32 64/9 u))
(+.f32 8/3 (*.f32 64/9 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 (.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 64/9 (pow.f32 u 3))))
(*.f32 64/9 (pow.f32 u 3))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 64/9 (pow.f32 u 3)))
(+.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 64/9 (pow.f32 u 3))))
(*.f32 64/9 (pow.f32 u 3))
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 64/9 (pow.f32 u 3)))
(+.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 64/9 (pow.f32 u 3))))
(*.f32 8/3 u)
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(*.f32 64/9 (pow.f32 u 2))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(*.f32 64/9 (pow.f32 u 2))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 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 u (fma.f32 u 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 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 (fma.f32 u 64/3 8))))
(*.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 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 (fma.f32 u 64/3 8))))
(*.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 (.f32 u u) (+.f32 8 (*.f32 u 64/3)))
(.f32 u (.f32 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 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 (fma.f32 u 64/3 8))))
(*.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 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 (fma.f32 u 64/3 8))))
(*.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 (.f32 u u) (+.f32 8 (*.f32 u 64/3)))
(.f32 u (.f32 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 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 (fma.f32 u 64/3 8))))
(*.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 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 (fma.f32 u 64/3 8))))
(*.f32 u (fma.f32 u (fma.f32 u 64/3 8) 4))
8/3
(+.f32 (*.f32 64/9 u) 8/3)
(fma.f32 64/9 u 8/3)
(fma.f32 u 64/9 8/3)
(+.f32 (*.f32 64/9 u) 8/3)
(fma.f32 64/9 u 8/3)
(fma.f32 u 64/9 8/3)
(+.f32 (*.f32 64/9 u) 8/3)
(fma.f32 64/9 u 8/3)
(fma.f32 u 64/9 8/3)
(*.f32 64/9 u)
(*.f32 u 64/9)
(+.f32 8/3 (*.f32 64/9 u))
(fma.f32 64/9 u 8/3)
(fma.f32 u 64/9 8/3)
(+.f32 8/3 (*.f32 64/9 u))
(fma.f32 64/9 u 8/3)
(fma.f32 u 64/9 8/3)
(+.f32 8/3 (*.f32 64/9 u))
(fma.f32 64/9 u 8/3)
(fma.f32 u 64/9 8/3)
(*.f32 64/9 u)
(*.f32 u 64/9)
(+.f32 8/3 (*.f32 64/9 u))
(fma.f32 64/9 u 8/3)
(fma.f32 u 64/9 8/3)
(+.f32 8/3 (*.f32 64/9 u))
(fma.f32 64/9 u 8/3)
(fma.f32 u 64/9 8/3)
(+.f32 8/3 (*.f32 64/9 u))
(fma.f32 64/9 u 8/3)
(fma.f32 u 64/9 8/3)
(*.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))
(fma.f32 u 4/3 (.f32 u (.f32 u 8/3)))
(.f32 u (+.f32 4/3 (.f32 u 8/3)))
(*.f32 u (fma.f32 u 8/3 4/3))
(+.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 (pow.f32 u 3) 64/9)))
(fma.f32 (.f32 u u) 8/3 (fma.f32 u 4/3 (.f32 (pow.f32 u 3) 64/9)))
(fma.f32 u 4/3 (.f32 (.f32 u u) (fma.f32 u 64/9 8/3)))
(.f32 u (+.f32 (.f32 u (fma.f32 u 64/9 8/3)) 4/3))
(*.f32 u (fma.f32 u (fma.f32 u 64/9 8/3) 4/3))
(+.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 (pow.f32 u 3) 64/9)))
(fma.f32 (.f32 u u) 8/3 (fma.f32 u 4/3 (.f32 (pow.f32 u 3) 64/9)))
(fma.f32 u 4/3 (.f32 (.f32 u u) (fma.f32 u 64/9 8/3)))
(.f32 u (+.f32 (.f32 u (fma.f32 u 64/9 8/3)) 4/3))
(*.f32 u (fma.f32 u (fma.f32 u 64/9 8/3) 4/3))
(*.f32 64/9 (pow.f32 u 3))
(*.f32 (pow.f32 u 3) 64/9)
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 64/9 (pow.f32 u 3)))
(fma.f32 8/3 (.f32 u u) (.f32 (pow.f32 u 3) 64/9))
(fma.f32 (.f32 u u) 8/3 (.f32 (pow.f32 u 3) 64/9))
(.f32 (.f32 u u) (fma.f32 u 64/9 8/3))
(.f32 u (.f32 u (fma.f32 u 64/9 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 (pow.f32 u 3) 64/9)))
(fma.f32 (.f32 u u) 8/3 (fma.f32 u 4/3 (.f32 (pow.f32 u 3) 64/9)))
(fma.f32 u 4/3 (.f32 (.f32 u u) (fma.f32 u 64/9 8/3)))
(.f32 u (+.f32 (.f32 u (fma.f32 u 64/9 8/3)) 4/3))
(*.f32 u (fma.f32 u (fma.f32 u 64/9 8/3) 4/3))
(+.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 (pow.f32 u 3) 64/9)))
(fma.f32 (.f32 u u) 8/3 (fma.f32 u 4/3 (.f32 (pow.f32 u 3) 64/9)))
(fma.f32 u 4/3 (.f32 (.f32 u u) (fma.f32 u 64/9 8/3)))
(.f32 u (+.f32 (.f32 u (fma.f32 u 64/9 8/3)) 4/3))
(*.f32 u (fma.f32 u (fma.f32 u 64/9 8/3) 4/3))
(*.f32 64/9 (pow.f32 u 3))
(*.f32 (pow.f32 u 3) 64/9)
(+.f32 (.f32 8/3 (pow.f32 u 2)) (.f32 64/9 (pow.f32 u 3)))
(fma.f32 8/3 (.f32 u u) (.f32 (pow.f32 u 3) 64/9))
(fma.f32 (.f32 u u) 8/3 (.f32 (pow.f32 u 3) 64/9))
(.f32 (.f32 u u) (fma.f32 u 64/9 8/3))
(.f32 u (.f32 u (fma.f32 u 64/9 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 (pow.f32 u 3) 64/9)))
(fma.f32 (.f32 u u) 8/3 (fma.f32 u 4/3 (.f32 (pow.f32 u 3) 64/9)))
(fma.f32 u 4/3 (.f32 (.f32 u u) (fma.f32 u 64/9 8/3)))
(.f32 u (+.f32 (.f32 u (fma.f32 u 64/9 8/3)) 4/3))
(*.f32 u (fma.f32 u (fma.f32 u 64/9 8/3) 4/3))
(+.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 (pow.f32 u 3) 64/9)))
(fma.f32 (.f32 u u) 8/3 (fma.f32 u 4/3 (.f32 (pow.f32 u 3) 64/9)))
(fma.f32 u 4/3 (.f32 (.f32 u u) (fma.f32 u 64/9 8/3)))
(.f32 u (+.f32 (.f32 u (fma.f32 u 64/9 8/3)) 4/3))
(*.f32 u (fma.f32 u (fma.f32 u 64/9 8/3) 4/3))
(*.f32 8/3 u)
(*.f32 u 8/3)
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(fma.f32 64/9 (.f32 u u) (.f32 u 8/3))
(fma.f32 u 8/3 (.f32 (.f32 u u) 64/9))
(*.f32 u (fma.f32 u 64/9 8/3))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(fma.f32 64/9 (.f32 u u) (.f32 u 8/3))
(fma.f32 u 8/3 (.f32 (.f32 u u) 64/9))
(*.f32 u (fma.f32 u 64/9 8/3))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(fma.f32 64/9 (.f32 u u) (.f32 u 8/3))
(fma.f32 u 8/3 (.f32 (.f32 u u) 64/9))
(*.f32 u (fma.f32 u 64/9 8/3))
(*.f32 64/9 (pow.f32 u 2))
(.f32 (.f32 u u) 64/9)
(.f32 u (.f32 u 64/9))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(fma.f32 64/9 (.f32 u u) (.f32 u 8/3))
(fma.f32 u 8/3 (.f32 (.f32 u u) 64/9))
(*.f32 u (fma.f32 u 64/9 8/3))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(fma.f32 64/9 (.f32 u u) (.f32 u 8/3))
(fma.f32 u 8/3 (.f32 (.f32 u u) 64/9))
(*.f32 u (fma.f32 u 64/9 8/3))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(fma.f32 64/9 (.f32 u u) (.f32 u 8/3))
(fma.f32 u 8/3 (.f32 (.f32 u u) 64/9))
(*.f32 u (fma.f32 u 64/9 8/3))
(*.f32 64/9 (pow.f32 u 2))
(.f32 (.f32 u u) 64/9)
(.f32 u (.f32 u 64/9))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(fma.f32 64/9 (.f32 u u) (.f32 u 8/3))
(fma.f32 u 8/3 (.f32 (.f32 u u) 64/9))
(*.f32 u (fma.f32 u 64/9 8/3))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(fma.f32 64/9 (.f32 u u) (.f32 u 8/3))
(fma.f32 u 8/3 (.f32 (.f32 u u) 64/9))
(*.f32 u (fma.f32 u 64/9 8/3))
(+.f32 (.f32 64/9 (pow.f32 u 2)) (.f32 8/3 u))
(fma.f32 64/9 (.f32 u u) (.f32 u 8/3))
(fma.f32 u 8/3 (.f32 (.f32 u u) 64/9))
(*.f32 u (fma.f32 u 64/9 8/3))

localize190.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (/.f32 (-.f32 (.f32 (.f32 u 4) (.f32 u 4)) (.f32 (.f32 u (.f32 u 8)) (.f32 u (.f32 u 8)))) (-.f32 (.f32 u 4) (.f32 u (.f32 u 8))))))
	0.3b	(+.f32 (*.f32 64 u) 64/3)
	0.4b	(.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3))
✓	0.5b	(.f32 (.f32 u (.f32 u 8)) (.f32 u (*.f32 u 8)))

Compiler

Compiled 195 to 137 computations (29.7% saved)

series8.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	s	@	0	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (/.f32 (-.f32 (.f32 (.f32 u 4) (.f32 u 4)) (.f32 (.f32 u (.f32 u 8)) (.f32 u (.f32 u 8)))) (-.f32 (.f32 u 4) (.f32 u (.f32 u 8))))))
1.0ms	s	@	inf	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (/.f32 (-.f32 (.f32 (.f32 u 4) (.f32 u 4)) (.f32 (.f32 u (.f32 u 8)) (.f32 u (.f32 u 8)))) (-.f32 (.f32 u 4) (.f32 u (.f32 u 8))))))
1.0ms	s	@	-inf	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (/.f32 (-.f32 (.f32 (.f32 u 4) (.f32 u 4)) (.f32 (.f32 u (.f32 u 8)) (.f32 u (.f32 u 8)))) (-.f32 (.f32 u 4) (.f32 u (.f32 u 8))))))
1.0ms	u	@	0	(.f32 (.f32 u (.f32 u 8)) (.f32 u (*.f32 u 8)))
1.0ms	u	@	inf	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (/.f32 (-.f32 (.f32 (.f32 u 4) (.f32 u 4)) (.f32 (.f32 u (.f32 u 8)) (.f32 u (.f32 u 8)))) (-.f32 (.f32 u 4) (.f32 u (.f32 u 8))))))

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

261×	`add-sqr-sqrt_binary32`
255×	`pow1_binary32`
253×	`*-un-lft-identity_binary32`
252×	`associate-r_binary32`
249×	`add-cbrt-cube_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	55
1	538	34

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs

(*.f32 (*.f32 u (*.f32 u 8)) (*.f32 u (*.f32 u 8)))

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

Outputs

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

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

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

674×	`cancel-sign-sub-inv_binary32`
609×	`associate-l_binary32`
516×	`associate-r_binary32`
498×	`fma-neg_binary32`
431×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	1086
1	133	1014
2	340	946
3	1180	904
4	5384	772

Stop Event

1×	node limit

Counts

76 → 58

Calls

Call 1

Inputs
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(.f32 s (-.f32 (+.f32 (.f32 (+.f32 64/3 (.f32 64 u)) (pow.f32 u 3)) (.f32 16 (/.f32 (pow.f32 u 2) (-.f32 (.f32 4 u) (.f32 8 (pow.f32 u 2)))))) (.f32 64 (/.f32 (pow.f32 u 4) (-.f32 (.f32 4 u) (*.f32 8 (pow.f32 u 2)))))))
(.f32 s (-.f32 (+.f32 (.f32 (+.f32 64/3 (.f32 64 u)) (pow.f32 u 3)) (.f32 16 (/.f32 (pow.f32 u 2) (-.f32 (.f32 4 u) (.f32 8 (pow.f32 u 2)))))) (.f32 64 (/.f32 (pow.f32 u 4) (-.f32 (.f32 4 u) (*.f32 8 (pow.f32 u 2)))))))
(.f32 s (-.f32 (+.f32 (.f32 (+.f32 64/3 (.f32 64 u)) (pow.f32 u 3)) (.f32 16 (/.f32 (pow.f32 u 2) (-.f32 (.f32 4 u) (.f32 8 (pow.f32 u 2)))))) (.f32 64 (/.f32 (pow.f32 u 4) (-.f32 (.f32 4 u) (*.f32 8 (pow.f32 u 2)))))))
(.f32 s (-.f32 (+.f32 (.f32 (+.f32 64/3 (.f32 64 u)) (pow.f32 u 3)) (.f32 16 (/.f32 (pow.f32 u 2) (-.f32 (.f32 4 u) (.f32 8 (pow.f32 u 2)))))) (.f32 64 (/.f32 (pow.f32 u 4) (-.f32 (.f32 4 u) (*.f32 8 (pow.f32 u 2)))))))
(.f32 s (-.f32 (+.f32 (.f32 (+.f32 64/3 (.f32 64 u)) (pow.f32 u 3)) (.f32 16 (/.f32 (pow.f32 u 2) (-.f32 (.f32 4 u) (.f32 8 (pow.f32 u 2)))))) (.f32 64 (/.f32 (pow.f32 u 4) (-.f32 (.f32 4 u) (*.f32 8 (pow.f32 u 2)))))))
(.f32 s (-.f32 (+.f32 (.f32 (+.f32 64/3 (.f32 64 u)) (pow.f32 u 3)) (.f32 16 (/.f32 (pow.f32 u 2) (-.f32 (.f32 4 u) (.f32 8 (pow.f32 u 2)))))) (.f32 64 (/.f32 (pow.f32 u 4) (-.f32 (.f32 4 u) (*.f32 8 (pow.f32 u 2)))))))
(.f32 s (-.f32 (+.f32 (.f32 (+.f32 64/3 (.f32 64 u)) (pow.f32 u 3)) (.f32 16 (/.f32 (pow.f32 u 2) (-.f32 (.f32 4 u) (.f32 8 (pow.f32 u 2)))))) (.f32 64 (/.f32 (pow.f32 u 4) (-.f32 (.f32 4 u) (*.f32 8 (pow.f32 u 2)))))))
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(.f32 s (-.f32 (+.f32 (.f32 (+.f32 (.f32 64 u) 64/3) (pow.f32 u 3)) (.f32 16 (/.f32 (pow.f32 u 2) (-.f32 (.f32 4 u) (.f32 8 (pow.f32 u 2)))))) (.f32 64 (/.f32 (pow.f32 u 4) (-.f32 (.f32 4 u) (*.f32 8 (pow.f32 u 2)))))))
(.f32 s (-.f32 (+.f32 (.f32 (+.f32 (.f32 64 u) 64/3) (pow.f32 u 3)) (.f32 16 (/.f32 (pow.f32 u 2) (-.f32 (.f32 4 u) (.f32 8 (pow.f32 u 2)))))) (.f32 64 (/.f32 (pow.f32 u 4) (-.f32 (.f32 4 u) (*.f32 8 (pow.f32 u 2)))))))
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(.f32 s (-.f32 (+.f32 (.f32 (+.f32 (.f32 64 u) 64/3) (pow.f32 u 3)) (.f32 16 (/.f32 (pow.f32 u 2) (-.f32 (.f32 4 u) (.f32 8 (pow.f32 u 2)))))) (.f32 64 (/.f32 (pow.f32 u 4) (-.f32 (.f32 4 u) (*.f32 8 (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 64 (.f32 s (pow.f32 u 4)))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 64 (.f32 s (pow.f32 u 4))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.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))))))
(.f32 64 (.f32 s (pow.f32 u 4)))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 64 (.f32 s (pow.f32 u 4))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.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 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
(*.f32 64 (pow.f32 u 4))
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(.f32 s (+.f32 (fma.f32 (fma.f32 64 u 64/3) (pow.f32 u 3) (.f32 16 (/.f32 (.f32 u u) (+.f32 (.f32 u 4) (.f32 -8 (.f32 u u)))))) (.f32 -64 (/.f32 (pow.f32 u 4) (+.f32 (.f32 u 4) (.f32 -8 (.f32 u u)))))))
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(.f32 s (fma.f32 (/.f32 (pow.f32 u 4) (.f32 u (-.f32 4 (.f32 u 8)))) -64 (.f32 (.f32 u u) (+.f32 (/.f32 (/.f32 16 u) (-.f32 4 (.f32 u 8))) (*.f32 u (fma.f32 64 u 64/3))))))
(.f32 s (fma.f32 (.f32 (/.f32 u (+.f32 (/.f32 4 u) -8)) u) -64 (fma.f32 (pow.f32 u 3) (fma.f32 64 u 64/3) (/.f32 16 (+.f32 (/.f32 4 u) -8)))))
(.f32 s (-.f32 (+.f32 (.f32 (+.f32 (.f32 64 u) 64/3) (pow.f32 u 3)) (.f32 16 (/.f32 (pow.f32 u 2) (-.f32 (.f32 4 u) (.f32 8 (pow.f32 u 2)))))) (.f32 64 (/.f32 (pow.f32 u 4) (-.f32 (.f32 4 u) (*.f32 8 (pow.f32 u 2)))))))
(.f32 s (+.f32 (fma.f32 (fma.f32 64 u 64/3) (pow.f32 u 3) (.f32 16 (/.f32 (.f32 u u) (+.f32 (.f32 u 4) (.f32 -8 (.f32 u u)))))) (.f32 -64 (/.f32 (pow.f32 u 4) (+.f32 (.f32 u 4) (.f32 -8 (.f32 u u)))))))
(.f32 s (fma.f32 (pow.f32 u 3) (fma.f32 64 u 64/3) (fma.f32 16 (/.f32 u (/.f32 (fma.f32 u 4 (.f32 (.f32 u u) -8)) u)) (/.f32 (.f32 -64 (pow.f32 u 4)) (fma.f32 u 4 (.f32 (.f32 u u) -8))))))
(.f32 s (fma.f32 (pow.f32 u 3) (fma.f32 64 u 64/3) (fma.f32 16 (/.f32 (.f32 u u) (.f32 u (+.f32 (.f32 u -8) 4))) (.f32 (/.f32 (pow.f32 u 4) (.f32 u (+.f32 (*.f32 u -8) 4))) -64))))
(.f32 s (fma.f32 (/.f32 (pow.f32 u 4) (.f32 u (-.f32 4 (.f32 u 8)))) -64 (.f32 (.f32 u u) (+.f32 (/.f32 (/.f32 16 u) (-.f32 4 (.f32 u 8))) (*.f32 u (fma.f32 64 u 64/3))))))
(.f32 s (fma.f32 (.f32 (/.f32 u (+.f32 (/.f32 4 u) -8)) u) -64 (fma.f32 (pow.f32 u 3) (fma.f32 64 u 64/3) (/.f32 16 (+.f32 (/.f32 4 u) -8)))))
(.f32 s (-.f32 (+.f32 (.f32 (+.f32 (.f32 64 u) 64/3) (pow.f32 u 3)) (.f32 16 (/.f32 (pow.f32 u 2) (-.f32 (.f32 4 u) (.f32 8 (pow.f32 u 2)))))) (.f32 64 (/.f32 (pow.f32 u 4) (-.f32 (.f32 4 u) (*.f32 8 (pow.f32 u 2)))))))
(.f32 s (+.f32 (fma.f32 (fma.f32 64 u 64/3) (pow.f32 u 3) (.f32 16 (/.f32 (.f32 u u) (+.f32 (.f32 u 4) (.f32 -8 (.f32 u u)))))) (.f32 -64 (/.f32 (pow.f32 u 4) (+.f32 (.f32 u 4) (.f32 -8 (.f32 u u)))))))
(.f32 s (fma.f32 (pow.f32 u 3) (fma.f32 64 u 64/3) (fma.f32 16 (/.f32 u (/.f32 (fma.f32 u 4 (.f32 (.f32 u u) -8)) u)) (/.f32 (.f32 -64 (pow.f32 u 4)) (fma.f32 u 4 (.f32 (.f32 u u) -8))))))
(.f32 s (fma.f32 (pow.f32 u 3) (fma.f32 64 u 64/3) (fma.f32 16 (/.f32 (.f32 u u) (.f32 u (+.f32 (.f32 u -8) 4))) (.f32 (/.f32 (pow.f32 u 4) (.f32 u (+.f32 (*.f32 u -8) 4))) -64))))
(.f32 s (fma.f32 (/.f32 (pow.f32 u 4) (.f32 u (-.f32 4 (.f32 u 8)))) -64 (.f32 (.f32 u u) (+.f32 (/.f32 (/.f32 16 u) (-.f32 4 (.f32 u 8))) (*.f32 u (fma.f32 64 u 64/3))))))
(.f32 s (fma.f32 (.f32 (/.f32 u (+.f32 (/.f32 4 u) -8)) u) -64 (fma.f32 (pow.f32 u 3) (fma.f32 64 u 64/3) (/.f32 16 (+.f32 (/.f32 4 u) -8)))))
(.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 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 (.f32 u s) (+.f32 (*.f32 u 8) 4))
(.f32 u (.f32 s (+.f32 (*.f32 u 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)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 (.f32 u u) (*.f32 s 8))))
(fma.f32 u (.f32 4 s) (.f32 s (+.f32 (.f32 u (.f32 u 8)) (*.f32 64/3 (pow.f32 u 3)))))
(.f32 u (+.f32 (.f32 4 s) (.f32 u (.f32 s (+.f32 (*.f32 u 64/3) 8)))))
(.f32 u (+.f32 (.f32 u (.f32 s (+.f32 (.f32 u 64/3) 8))) (*.f32 4 s)))
(+.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 u s) (fma.f32 8 (.f32 s (.f32 u u)) (.f32 64 (.f32 (pow.f32 u 4) s)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (fma.f32 (.f32 64 s) (pow.f32 u 4) (.f32 (.f32 u u) (.f32 s 8)))))
(fma.f32 u (.f32 4 s) (fma.f32 s (.f32 u (.f32 u 8)) (.f32 s (*.f32 (pow.f32 u 3) (fma.f32 64 u 64/3)))))
(.f32 s (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (.f32 (pow.f32 u 3) (fma.f32 64 u 64/3))))
(.f32 64 (.f32 s (pow.f32 u 4)))
(.f32 64 (.f32 (pow.f32 u 4) s))
(.f32 (pow.f32 u 4) (.f32 64 s))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 64 (.f32 s (pow.f32 u 4))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 64 (*.f32 (pow.f32 u 4) s)))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 (pow.f32 u 4) (*.f32 64 s)))
(.f32 s (.f32 (pow.f32 u 3) (fma.f32 64 u 64/3)))
(.f32 (fma.f32 64 u 64/3) (.f32 s (pow.f32 u 3)))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.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 8 (.f32 s (.f32 u u)) (.f32 64 (*.f32 (pow.f32 u 4) s))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 (.f32 64 s) (pow.f32 u 4) (.f32 (.f32 u u) (*.f32 s 8))))
(fma.f32 s (.f32 u (.f32 u 8)) (.f32 s (.f32 (pow.f32 u 3) (fma.f32 64 u 64/3))))
(.f32 (.f32 s (.f32 u u)) (+.f32 8 (.f32 u (fma.f32 64 u 64/3))))
(.f32 (.f32 u (.f32 u s)) (+.f32 8 (.f32 u (fma.f32 64 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 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 s (.f32 u u)) (.f32 64 (.f32 (pow.f32 u 4) s)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (fma.f32 (.f32 64 s) (pow.f32 u 4) (.f32 (.f32 u u) (.f32 s 8)))))
(fma.f32 u (.f32 4 s) (fma.f32 s (.f32 u (.f32 u 8)) (.f32 s (*.f32 (pow.f32 u 3) (fma.f32 64 u 64/3)))))
(.f32 s (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (.f32 (pow.f32 u 3) (fma.f32 64 u 64/3))))
(.f32 64 (.f32 s (pow.f32 u 4)))
(.f32 64 (.f32 (pow.f32 u 4) s))
(.f32 (pow.f32 u 4) (.f32 64 s))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 64 (.f32 s (pow.f32 u 4))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 64 (*.f32 (pow.f32 u 4) s)))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 (pow.f32 u 4) (*.f32 64 s)))
(.f32 s (.f32 (pow.f32 u 3) (fma.f32 64 u 64/3)))
(.f32 (fma.f32 64 u 64/3) (.f32 s (pow.f32 u 3)))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.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 8 (.f32 s (.f32 u u)) (.f32 64 (*.f32 (pow.f32 u 4) s))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 (.f32 64 s) (pow.f32 u 4) (.f32 (.f32 u u) (*.f32 s 8))))
(fma.f32 s (.f32 u (.f32 u 8)) (.f32 s (.f32 (pow.f32 u 3) (fma.f32 64 u 64/3))))
(.f32 (.f32 s (.f32 u u)) (+.f32 8 (.f32 u (fma.f32 64 u 64/3))))
(.f32 (.f32 u (.f32 u s)) (+.f32 8 (.f32 u (fma.f32 64 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 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 s (.f32 u u)) (.f32 64 (.f32 (pow.f32 u 4) s)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (fma.f32 (.f32 64 s) (pow.f32 u 4) (.f32 (.f32 u u) (.f32 s 8)))))
(fma.f32 u (.f32 4 s) (fma.f32 s (.f32 u (.f32 u 8)) (.f32 s (*.f32 (pow.f32 u 3) (fma.f32 64 u 64/3)))))
(.f32 s (+.f32 (.f32 u (+.f32 (.f32 u 8) 4)) (.f32 (pow.f32 u 3) (fma.f32 64 u 64/3))))

eval528.0ms (4.5%)

Compiler: Compiled 18777 to 13905 computations (25.9% saved)

prune255.0ms (2.2%)

Pruning

28 alts after pruning (14 fresh and 14 done)

	Pruned	Kept	Total
New	729	8	737
Fresh	9	6	15
Picked	0	1	1
Done	0	13	13
Total	738	28	766

Error

0.0b

Counts

766 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	2.5b	(.f32 u (.f32 s (+.f32 4 (.f32 u (+.f32 8 (.f32 64/3 u))))))
	0.7b	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (.f32 (expm1.f32 (log1p.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2))) (cbrt.f32 (log1p.f32 (.f32 u -4))))) s)) 2)
✓	1.9b	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (/.f32 (-.f32 (.f32 (.f32 u 4) (.f32 u 4)) (.f32 (.f32 u (.f32 u 8)) (.f32 u (.f32 u 8)))) (-.f32 (.f32 u 4) (.f32 u (.f32 u 8))))))
✓	0.7b	(.f32 s (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 3))
	2.4b	(.f32 u (+.f32 (.f32 u (.f32 s (+.f32 (.f32 u 64/3) 8))) (*.f32 4 s)))
	2.6b	(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) u) 4) (.f32 s u))
	3.7b	(.f32 u (.f32 s (+.f32 (*.f32 u 8) 4)))
	2.6b	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (.f32 u (+.f32 -4 (.f32 u (+.f32 -8 (.f32 u -64/3)))))))))
✓	0.2b	(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
✓	2.5b	(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u (+.f32 8/3 (*.f32 u 64/9)))))))
	3.7b	(.f32 s (.f32 3 (.f32 u (+.f32 4/3 (.f32 u 8/3)))))
	3.7b	(.f32 (.f32 u (+.f32 4 (*.f32 u 8))) s)
	3.6b	(.f32 u (+.f32 (.f32 4 s) (.f32 (.f32 8 s) u)))
✓	0.5b	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
✓	8.2b	(.f32 4 (.f32 u s))
	3.6b	(fma.f32 (.f32 u 4) s (.f32 8 (.f32 (.f32 u u) s)))
✓	3.7b	(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
✓	0.4b	(.f32 s (.f32 3 (.f32 1/3 (neg.f32 (log1p.f32 (.f32 u -4))))))
✓	8.1b	(.f32 s (.f32 3 (*.f32 4/3 u)))
✓	1.9b	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (.f32 u (+.f32 4 (*.f32 u 8)))))
	2.3b	(fma.f32 (.f32 u 4) s (.f32 (.f32 (fma.f32 u 64/3 8) (.f32 u u)) s))
✓	12.6b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
	1.9b	(+.f32 (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)) (.f32 s (.f32 u (+.f32 4 (*.f32 u 8)))))
✓	2.5b	(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
	3.7b	(+.f32 (.f32 s (.f32 u 4)) (.f32 8 (.f32 (*.f32 u u) s)))
✓	8.1b	(.f32 (.f32 u 4) s)
✓	0.7b	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (.f32 u -4))))) s)) 2)
	3.7b	(.f32 s (/.f32 1 (/.f32 (.f32 u (-.f32 4 (.f32 u 8))) (-.f32 (.f32 (.f32 u u) 16) (.f32 64 (pow.f32 u 4))))))

Compiler

Compiled 442 to 333 computations (24.7% saved)

regimes223.0ms (1.9%)

Counts

53 → 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 4/3 u)))
(.f32 u (.f32 s (+.f32 (*.f32 u 8) 4)))
(.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 3 (.f32 u (+.f32 4/3 (.f32 u 8/3)))))
(.f32 u (+.f32 (.f32 4 s) (.f32 (.f32 8 s) u)))
(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
(+.f32 (.f32 s (.f32 u 4)) (.f32 8 (.f32 (*.f32 u u) s)))
(.f32 u (.f32 s (+.f32 4 (.f32 u (+.f32 8 (.f32 64/3 u))))))
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) u) 4) (.f32 s u))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
(.f32 u (+.f32 (.f32 u (.f32 s (+.f32 (.f32 u 64/3) 8))) (*.f32 4 s)))
(.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 (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (.f32 s u) (fma.f32 8 u 4))
(.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 (.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 (.f32 (.f32 u (fma.f32 u 64/3 8)) (.f32 u s)) (.f32 4 (*.f32 u s)))
(+.f32 (.f32 (.f32 u u) (.f32 (fma.f32 u 64/3 8) s)) (.f32 u (*.f32 4 s)))
(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (.f32 u (+.f32 4 (*.f32 u 8)))))
(.f32 s (/.f32 1 (/.f32 (.f32 u (-.f32 4 (.f32 u 8))) (-.f32 (.f32 (.f32 u u) 16) (.f32 64 (pow.f32 u 4))))))
(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (/.f32 (-.f32 (.f32 (.f32 u 4) (.f32 u 4)) (.f32 (.f32 u (.f32 u 8)) (.f32 u (.f32 u 8)))) (-.f32 (.f32 u 4) (.f32 u (.f32 u 8))))))
(.f32 (.f32 u s) (fma.f32 u (fma.f32 u 64/3 8) 4))
(pow.f32 (sqrt.f32 (.f32 (neg.f32 (.f32 u (+.f32 -4 (*.f32 u -8)))) s)) 2)
(.f32 s (pow.f32 (cbrt.f32 (neg.f32 (.f32 u (+.f32 -4 (*.f32 u -8))))) 3))
(fma.f32 (.f32 u 4) s (.f32 (.f32 (fma.f32 u 64/3 8) (.f32 u u)) s))
(fma.f32 (.f32 u 4) s (.f32 (.f32 u u) (.f32 (fma.f32 u 64/3 8) s)))
(.f32 s (+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(+.f32 (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) 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)))))
(.f32 s (exp.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))
(exp.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))
(.f32 s (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 3))
(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
(pow.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 3)
(+.f32 (.f32 (fma.f32 u 64 64/3) (.f32 (pow.f32 u 3) s)) (.f32 u (.f32 (fma.f32 u 8 4) 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 (.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 (pow.f32 (E.f32) (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))
(.f32 s (neg.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (.f32 u -4))))))
(.f32 s (/.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)))))))
(pow.f32 (sqrt.f32 (.f32 (neg.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (.f32 u -4))))) s)) 2)
(pow.f32 (sqrt.f32 (.f32 (neg.f32 (.f32 (expm1.f32 (log1p.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2))) (cbrt.f32 (log1p.f32 (.f32 u -4))))) s)) 2)

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

Calls

7 calls:

44.0ms	(*.f32 4 u)
30.0ms	(-.f32 1 (*.f32 4 u))
27.0ms	u
26.0ms	s
20.0ms	(.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 796 to 561 computations (29.5% saved)

regimes39.0ms (0.3%)

Counts

19 → 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 4/3 u)))
(.f32 u (.f32 s (+.f32 (*.f32 u 8) 4)))
(.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 3 (.f32 u (+.f32 4/3 (.f32 u 8/3)))))
(.f32 u (+.f32 (.f32 4 s) (.f32 (.f32 8 s) u)))
(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
(+.f32 (.f32 s (.f32 u 4)) (.f32 8 (.f32 (*.f32 u u) s)))
(.f32 u (.f32 s (+.f32 4 (.f32 u (+.f32 8 (.f32 64/3 u))))))
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) u) 4) (.f32 s u))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))
(.f32 u (+.f32 (.f32 u (.f32 s (+.f32 (.f32 u 64/3) 8))) (*.f32 4 s)))
(.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)))))))))

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

Calls

2 calls:

22.0ms	s
11.0ms	u

Results

Error	Segments	Branch
2.4b	1	`s`
2.4b	1	`u`

Compiler

Compiled 216 to 146 computations (32.4% saved)

regimes22.0ms (0.2%)

Counts

15 → 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 4/3 u)))
(.f32 u (.f32 s (+.f32 (*.f32 u 8) 4)))
(.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 3 (.f32 u (+.f32 4/3 (.f32 u 8/3)))))
(.f32 u (+.f32 (.f32 4 s) (.f32 (.f32 8 s) u)))
(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
(+.f32 (.f32 s (.f32 u 4)) (.f32 8 (.f32 (*.f32 u u) s)))
(.f32 u (.f32 s (+.f32 4 (.f32 u (+.f32 8 (.f32 64/3 u))))))
(.f32 (+.f32 (.f32 (+.f32 8 (.f32 64/3 u)) u) 4) (.f32 s u))
(.f32 s (.f32 u (+.f32 4 (.f32 u (+.f32 8 (.f32 u 64/3))))))

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

Calls

2 calls:

9.0ms	u
9.0ms	s

Results

Error	Segments	Branch
2.5b	1	`s`
2.5b	1	`u`

Compiler

Compiled 153 to 102 computations (33.3% saved)

regimes73.0ms (0.6%)

Counts

12 → 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 4/3 u)))
(.f32 u (.f32 s (+.f32 (*.f32 u 8) 4)))
(.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 3 (.f32 u (+.f32 4/3 (.f32 u 8/3)))))
(.f32 u (+.f32 (.f32 4 s) (.f32 (.f32 8 s) u)))
(.f32 s (+.f32 (.f32 u 4) (.f32 8 (.f32 u u))))
(+.f32 (.f32 s (.f32 u 4)) (.f32 8 (.f32 (*.f32 u u) s)))

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

Calls

2 calls:

63.0ms	u
7.0ms	s

Results

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

Compiler

Compiled 114 to 75 computations (34.2% saved)

regimes61.0ms (0.5%)

Counts

9 → 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 4/3 u)))
(.f32 u (.f32 s (+.f32 (*.f32 u 8) 4)))
(.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 3 (.f32 u (+.f32 4/3 (.f32 u 8/3)))))

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

Calls

2 calls:

52.0ms	s
6.0ms	u

Results

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

Compiler

Compiled 79 to 54 computations (31.6% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.1b remaining (-1.4%)

Threshold costs -0.1b (-1.4%)

Counts

4 → 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 4/3 u)))

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

Calls

2 calls:

4.0ms	s
4.0ms	u

Results

Error	Segments	Branch
8.1b	1	`s`
8.1b	1	`u`

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-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	88
1	64	88
2	72	88
3	78	88
4	81	88
5	82	88

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 72 to 52 computations (27.8% saved)

soundness47.0ms (0.4%)

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)

end54.0ms (0.5%)

Compiler: Compiled 62 to 42 computations (32.3% 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