Details

analyze91.0ms (0.7%)

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)

sample2.2s (17%)

Results

2.2s

8256×

body

256

valid

Bogosity

preprocess262.0ms (2%)

Algorithm

2×	egg-herbie

Rules

2240×	`associate-+l-`
1866×	`associate-+l+`
1732×	`associate-+r+`
1048×	`fma-def`
850×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	40	42
2	71	42
3	123	42
4	172	42
5	233	42
6	330	42
7	433	42
8	773	42
9	1241	42
10	1426	42
11	1838	42
12	2482	42
13	2688	42
14	2755	42
15	2782	42
16	2858	42
17	3540	42
18	4673	42
19	4925	42
20	5013	42
21	5043	42
22	5063	42
23	5063	42
24	5440	42
25	5598	42
26	5618	42
27	5642	42
28	5658	42
29	5658	42
30	5914	42
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 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)

simplify35.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

384×	`fma-def`
192×	`associate-+l+`
178×	`associate-+l-`
162×	`+-commutative`
146×	`associate--l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	26	21
2	42	21
3	71	21
4	100	21
5	130	21
6	175	21
7	252	21
8	422	21
9	550	21
10	671	21
11	882	21
12	1215	21
13	1322	21
14	1335	21

Stop Event

1×

saturated

Counts

1 → 4

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

eval1.0ms (0%)

Compiler: Compiled 35 to 27 computations (22.9% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

0.2b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
▶	12.4b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))

Compiler

Compiled 21 to 17 computations (19% saved)

localize37.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 1 (-.f32 1 (*.f32 4 u)))
✓	0.3b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
✓	14.2b	(log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u))))

Compiler

Compiled 39 to 31 computations (20.5% saved)

series58.0ms (0.4%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
55.0ms	s	@	0	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
0.0ms	u	@	0	(log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u))))
0.0ms	u	@	inf	(log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u))))
0.0ms	u	@	-inf	(log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u))))
0.0ms	s	@	inf	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`*-commutative`
766×	`unswap-sqr`
660×	`associate-*r/`
628×	`swap-sqr`
446×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	250	55
2	2985	55

Stop Event

1×	node limit

Counts

3 → 144

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

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u u)))) (+.f32 1 (*.f32 4 u)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (+.f32 -1 (neg.f32 (*.f32 (pow.f32 u 3) -64)))) (+.f32 1 (+.f32 (*.f32 4 u) (*.f32 16 (*.f32 u u)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -2)) (cbrt.f32 (+.f32 1 (*.f32 (pow.f32 u 3) -64)))) (cbrt.f32 (+.f32 1 (+.f32 (*.f32 4 u) (*.f32 16 (*.f32 u u))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -2)) (cbrt.f32 (+.f32 1 (*.f32 (*.f32 u u) -16)))) (cbrt.f32 (+.f32 1 (*.f32 4 u))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 1 (+.f32 (*.f32 4 u) (*.f32 16 (*.f32 u u)))) (-.f32 1 (*.f32 4096 (*.f32 (pow.f32 u 3) (pow.f32 u 3))))) (+.f32 1 (*.f32 64 (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 1 (+.f32 (*.f32 4 u) (*.f32 16 (*.f32 u u)))) (-.f32 1 (pow.f32 (*.f32 64 (pow.f32 u 3)) 3))) (+.f32 1 (*.f32 (*.f32 64 (pow.f32 u 3)) (+.f32 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-4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 1 (+.f32 1 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (+.f32 1 (*.f32 u -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 1 (+.f32 1 (*.f32 u -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 1 (+.f32 1 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 1 (+.f32 1 (*.f32 u -4)))))))))

simplify148.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1038×	`associate-+r+`
898×	`associate-+l+`
832×	`+-commutative`
554×	`fma-def`
526×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	6556
1	1285	5668
2	4309	5586

Stop Event

1×	node limit

Counts

180 → 320

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))))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 u -4))) 0)
(+.f32 0 (neg.f32 (log1p.f32 (*.f32 u -4))))
(+.f32 (log.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)) (log.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2))) (log.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1)))))
(+.f32 (log.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1)))) (log.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2))) (log.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)))
(+.f32 (+.f32 0 (log.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2)))) (log.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1)))))
(+.f32 (-.f32 0 (log.f32 (+.f32 1 (.f32 (pow.f32 u 3) -64)))) (log.f32 (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u))))))
(+.f32 (-.f32 0 (log.f32 (+.f32 1 (.f32 (.f32 u u) -16)))) (log1p.f32 (*.f32 4 u)))
(+.f32 (.f32 1 (log.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2))) (.f32 1 (log.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2))))
(+.f32 (.f32 1 (log.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2)))) (.f32 1 (log.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1))))))
(+.f32 (.f32 -1 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (.f32 u -4))) 2))) (.f32 -1 (log.f32 (cbrt.f32 (+.f32 1 (.f32 u -4))))))
(+.f32 (.f32 -1 (log.f32 (sqrt.f32 (+.f32 1 (.f32 u -4))))) (.f32 -1 (log.f32 (sqrt.f32 (+.f32 1 (.f32 u -4))))))
(+.f32 (.f32 (log.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)) 1) (.f32 (log.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)) 1))
(+.f32 (.f32 (log.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2))) 1) (.f32 (log.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1)))) 1))
(+.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (.f32 u -4))) 2)) -1) (.f32 (log.f32 (cbrt.f32 (+.f32 1 (.f32 u -4)))) -1))
(+.f32 (.f32 (log.f32 (sqrt.f32 (+.f32 1 (.f32 u -4)))) -1) (.f32 (log.f32 (sqrt.f32 (+.f32 1 (.f32 u -4)))) -1))
(+.f32 (neg.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (.f32 u -4))) 2))) (neg.f32 (log.f32 (cbrt.f32 (+.f32 1 (.f32 u -4))))))
(+.f32 (neg.f32 (log.f32 (sqrt.f32 (+.f32 1 (.f32 u -4))))) (neg.f32 (log.f32 (sqrt.f32 (+.f32 1 (.f32 u -4))))))
(-.f32 0 (log1p.f32 (*.f32 u -4)))
(-.f32 (log.f32 -1) (log.f32 (+.f32 (*.f32 4 u) -1)))
(-.f32 (exp.f32 (log1p.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) 1)
(-.f32 (+.f32 0 (log.f32 -1)) (log.f32 (+.f32 (*.f32 4 u) -1)))
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))) 1)
(-.f32 (-.f32 0 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (.f32 u -4))) 2))) (log.f32 (cbrt.f32 (+.f32 1 (.f32 u -4)))))
(-.f32 (-.f32 0 (log.f32 (sqrt.f32 (+.f32 1 (.f32 u -4))))) (log.f32 (sqrt.f32 (+.f32 1 (.f32 u -4)))))
(.f32 1 (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 1)
(.f32 2 (log.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))
(.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) 2))
(.f32 (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 2) (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))
(.f32 (log1p.f32 (.f32 u -4)) -1)
(.f32 -1 (log1p.f32 (.f32 u -4)))
(.f32 (sqrt.f32 (log1p.f32 (.f32 u -4))) (neg.f32 (sqrt.f32 (log1p.f32 (*.f32 u -4)))))
(.f32 (.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))))
(.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u -4)))) (sqrt.f32 (log1p.f32 (*.f32 u -4))))
(.f32 (neg.f32 (.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) (cbrt.f32 (log1p.f32 (.f32 u -4))))) (cbrt.f32 (log1p.f32 (*.f32 u -4))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4))))) (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4))))) (.f32 (sqrt.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4))))) (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 u -4))))) (sqrt.f32 (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 u -4))))) (sqrt.f32 (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) 2))))
(.f32 (.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) (sqrt.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))))) (.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) (sqrt.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 2)) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 2)) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))))
(/.f32 (-.f32 0 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 2)) (log1p.f32 (.f32 u -4)))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 u -4)) 3)) (+.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 2) 0))
(/.f32 (.f32 1 (-.f32 0 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 2))) (log1p.f32 (*.f32 u -4)))
(/.f32 (.f32 1 (-.f32 0 (pow.f32 (log1p.f32 (.f32 u -4)) 3))) (+.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 u -4))) 2) 0))
(/.f32 (.f32 (-.f32 0 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 2)) 1) (log1p.f32 (*.f32 u -4)))
(/.f32 (.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 u -4)) 3)) 1) (+.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 u -4))) 2) 0))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 2)) 1) (log1p.f32 (.f32 u -4)))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 2)) (sqrt.f32 (log1p.f32 (.f32 u -4)))) (sqrt.f32 (log1p.f32 (*.f32 u -4))))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 2)) (.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) (cbrt.f32 (log1p.f32 (.f32 u -4))))) (cbrt.f32 (log1p.f32 (*.f32 u -4))))
(pow.f32 (neg.f32 (log1p.f32 (*.f32 u -4))) 1)
(pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) 2)
(pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) 3)
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 u -4))) 3) 1/3)
(neg.f32 (log1p.f32 (*.f32 u -4)))
(sqrt.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 u -4))) 2))
(cbrt.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 u -4))) 3))
(expm1.f32 (log1p.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))
(exp.f32 (log.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))
(log1p.f32 (expm1.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))
(+.f32 (.f32 s 0) (.f32 (neg.f32 (log1p.f32 (*.f32 u -4))) s))
(+.f32 (.f32 s (log.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2))) (.f32 s (log.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2))))
(+.f32 (.f32 s (log.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2)))) (.f32 s (log.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1))))))
(+.f32 (.f32 0 s) (.f32 (neg.f32 (log1p.f32 (*.f32 u -4))) s))
(+.f32 (.f32 (log.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)) s) (.f32 (log.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)) s))
(+.f32 (.f32 (log.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2))) s) (.f32 (log.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1)))) s))
(-.f32 (exp.f32 (log1p.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))) 1)
(/.f32 (.f32 s (-.f32 0 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 2))) (log1p.f32 (*.f32 u -4)))
(/.f32 (.f32 s (-.f32 0 (pow.f32 (log1p.f32 (.f32 u -4)) 3))) (+.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 u -4))) 2) 0))
(/.f32 (.f32 (-.f32 0 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 2)) s) (log1p.f32 (*.f32 u -4)))
(/.f32 (.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 u -4)) 3)) s) (+.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 u -4))) 2) 0))
(pow.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s) 1)
(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)
(pow.f32 (pow.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s) 3) 1/3)
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(neg.f32 (.f32 (.f32 s (log1p.f32 (*.f32 u -4))) 1))
(neg.f32 (.f32 1 (.f32 s (log1p.f32 (*.f32 u -4)))))
(sqrt.f32 (pow.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s) 2))
(log.f32 (pow.f32 (/.f32 1 (+.f32 1 (*.f32 u -4))) s))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s))))
(cbrt.f32 (pow.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s) 3))
(cbrt.f32 (.f32 (pow.f32 s 3) (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 3)))
(expm1.f32 (log1p.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))
(exp.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))
(log1p.f32 (expm1.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))
(+.f32 (.f32 (/.f32 1 (+.f32 1 (.f32 (.f32 u u) -16))) 1) (.f32 (/.f32 1 (+.f32 1 (.f32 (.f32 u u) -16))) (*.f32 4 u)))
(+.f32 (.f32 (/.f32 1 (+.f32 1 (.f32 (.f32 u u) -16))) (.f32 4 u)) (.f32 (/.f32 1 (+.f32 1 (.f32 (*.f32 u u) -16))) 1))
(+.f32 (.f32 (/.f32 1 (+.f32 1 (.f32 (pow.f32 u 3) -64))) 1) (.f32 (/.f32 1 (+.f32 1 (.f32 (pow.f32 u 3) -64))) (+.f32 (.f32 4 u) (.f32 16 (*.f32 u u)))))
(+.f32 (.f32 (/.f32 1 (+.f32 1 (.f32 (pow.f32 u 3) -64))) (+.f32 (.f32 4 u) (.f32 16 (.f32 u u)))) (.f32 (/.f32 1 (+.f32 1 (*.f32 (pow.f32 u 3) -64))) 1))
(+.f32 (.f32 (/.f32 1 (+.f32 1 (.f32 (pow.f32 u 3) -64))) (+.f32 1 (.f32 16 (.f32 u u)))) (.f32 (/.f32 1 (+.f32 1 (.f32 (pow.f32 u 3) -64))) (*.f32 4 u)))
(+.f32 (.f32 1 (/.f32 1 (+.f32 1 (.f32 (.f32 u u) -16)))) (.f32 (.f32 4 u) (/.f32 1 (+.f32 1 (.f32 (*.f32 u u) -16)))))
(+.f32 (.f32 (.f32 4 u) (/.f32 1 (+.f32 1 (.f32 (.f32 u u) -16)))) (.f32 1 (/.f32 1 (+.f32 1 (.f32 (*.f32 u u) -16)))))
(+.f32 (.f32 1 (/.f32 1 (+.f32 1 (.f32 (pow.f32 u 3) -64)))) (.f32 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u))) (/.f32 1 (+.f32 1 (*.f32 (pow.f32 u 3) -64)))))
(+.f32 (.f32 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u))) (/.f32 1 (+.f32 1 (.f32 (pow.f32 u 3) -64)))) (.f32 1 (/.f32 1 (+.f32 1 (*.f32 (pow.f32 u 3) -64)))))
(+.f32 (.f32 (+.f32 1 (.f32 16 (.f32 u u))) (/.f32 1 (+.f32 1 (.f32 (pow.f32 u 3) -64)))) (.f32 (.f32 4 u) (/.f32 1 (+.f32 1 (*.f32 (pow.f32 u 3) -64)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 1 (+.f32 1 (*.f32 u -4))))) 1)
(.f32 1 (/.f32 1 (+.f32 1 (.f32 u -4))))
(.f32 (/.f32 1 (+.f32 1 (.f32 u -4))) 1)
(.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2) (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2))
(.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1))) (cbrt.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -2)))
(.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2)) (/.f32 -1 (cbrt.f32 (+.f32 (*.f32 4 u) -1))))
(.f32 (+.f32 1 (.f32 4 u)) (/.f32 1 (+.f32 1 (.f32 (.f32 u u) -16))))
(.f32 (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u)))) (/.f32 1 (+.f32 1 (*.f32 (pow.f32 u 3) -64))))
(.f32 -1 (/.f32 1 (+.f32 (.f32 4 u) -1)))
(.f32 (/.f32 1 (+.f32 (.f32 4 u) -1)) -1)
(.f32 (/.f32 1 (+.f32 1 (.f32 (.f32 u u) -16))) (+.f32 1 (.f32 4 u)))
(.f32 (/.f32 1 (+.f32 1 (.f32 (pow.f32 u 3) -64))) (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (*.f32 u u)))))
(.f32 (pow.f32 (sqrt.f32 (+.f32 1 (.f32 u -4))) -1) (pow.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4))) -1))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 1 (.f32 u -4))) 2) -1) (pow.f32 (cbrt.f32 (+.f32 1 (*.f32 u -4))) -1))
(.f32 (pow.f32 (cbrt.f32 (+.f32 1 (.f32 u -4))) -1) (pow.f32 (pow.f32 (cbrt.f32 (+.f32 1 (*.f32 u -4))) 2) -1))
(.f32 (/.f32 (+.f32 1 (.f32 4 u)) (-.f32 1 (.f32 (.f32 u (pow.f32 u 3)) 256))) (+.f32 1 (.f32 16 (.f32 u u))))
(.f32 (/.f32 (+.f32 1 (.f32 4 u)) (-.f32 1 (pow.f32 (.f32 16 (.f32 u u)) 3))) (+.f32 1 (+.f32 (.f32 16 (.f32 u u)) (.f32 (.f32 u (pow.f32 u 3)) 256))))
(.f32 (/.f32 1 (+.f32 -1 (.f32 16 (.f32 u u)))) (+.f32 (.f32 u -4) -1))
(.f32 (/.f32 1 (+.f32 -1 (neg.f32 (.f32 (pow.f32 u 3) -64)))) (+.f32 (neg.f32 (+.f32 1 (.f32 16 (.f32 u u)))) (*.f32 u -4)))
(.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 u -4) 3))) (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (*.f32 u u)))))
(.f32 (/.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2) (sqrt.f32 (+.f32 1 (.f32 (pow.f32 u 3) -64)))) (sqrt.f32 (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u))))))
(.f32 (/.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2) (sqrt.f32 (+.f32 1 (.f32 (.f32 u u) -16)))) (sqrt.f32 (+.f32 1 (*.f32 4 u))))
(.f32 (/.f32 -1 (+.f32 -1 (.f32 16 (.f32 u u)))) (+.f32 1 (.f32 4 u)))
(.f32 (/.f32 -1 (+.f32 -1 (neg.f32 (.f32 (pow.f32 u 3) -64)))) (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (*.f32 u u)))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2)) (cbrt.f32 (+.f32 1 (.f32 (pow.f32 u 3) -64)))) (cbrt.f32 (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u))))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2)) (cbrt.f32 (+.f32 1 (.f32 (.f32 u u) -16)))) (cbrt.f32 (+.f32 1 (*.f32 4 u))))
(.f32 (/.f32 (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u)))) (-.f32 1 (.f32 4096 (.f32 (pow.f32 u 3) (pow.f32 u 3))))) (+.f32 1 (*.f32 64 (pow.f32 u 3))))
(.f32 (/.f32 (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u)))) (-.f32 1 (pow.f32 (.f32 64 (pow.f32 u 3)) 3))) (+.f32 1 (.f32 (.f32 64 (pow.f32 u 3)) (+.f32 1 (.f32 64 (pow.f32 u 3))))))
(.f32 (.f32 (sqrt.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1)))) (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1)))) (.f32 (sqrt.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1)))) (/.f32 -1 (cbrt.f32 (+.f32 (*.f32 4 u) -1)))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2)))) (.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -2)))))
(.f32 (.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1))) (sqrt.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1))))) (.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1))) (sqrt.f32 (/.f32 -1 (cbrt.f32 (+.f32 (*.f32 4 u) -1))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2))) (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2))) (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2))) (cbrt.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2))))
(pow.f32 (+.f32 1 (*.f32 u -4)) -1)
(pow.f32 (/.f32 1 (+.f32 1 (*.f32 u -4))) 1)
(pow.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2) 2)
(pow.f32 (/.f32 -1 (cbrt.f32 (+.f32 (*.f32 4 u) -1))) 3)
(pow.f32 (pow.f32 (/.f32 1 (+.f32 1 (*.f32 u -4))) 3) 1/3)
(pow.f32 (E.f32) (neg.f32 (log1p.f32 (*.f32 u -4))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 2)) (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))))
(pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))))
(sqrt.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -2))
(log.f32 (exp.f32 (/.f32 1 (+.f32 1 (*.f32 u -4)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (+.f32 1 (*.f32 u -4))))))
(cbrt.f32 (pow.f32 (/.f32 1 (+.f32 1 (*.f32 u -4))) 3))
(expm1.f32 (log1p.f32 (/.f32 1 (+.f32 1 (*.f32 u -4)))))
(exp.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))
(log1p.f32 (expm1.f32 (/.f32 1 (+.f32 1 (*.f32 u -4)))))

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 u (.f32 u 8)))
(.f32 u (+.f32 4 (.f32 8 u)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(fma.f32 8 (.f32 u u) (fma.f32 64/3 (pow.f32 u 3) (.f32 4 u)))
(fma.f32 8 (.f32 u u) (fma.f32 4 u (.f32 64/3 (pow.f32 u 3))))
(+.f32 (.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)))))
(+.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 (.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 (/.f32 1/32 (*.f32 u u)) (log.f32 -1/4)) (+.f32 (neg.f32 (log.f32 u)) (/.f32 1/4 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 1/32 (*.f32 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 (+.f32 (-.f32 (log.f32 -1/4) (log.f32 u)) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u)))) (/.f32 1/192 (pow.f32 u 3)))
(+.f32 (-.f32 (log.f32 -1/4) (log.f32 u)) (+.f32 (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u 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 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 1/32 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (+.f32 (/.f32 1/192 (pow.f32 u 3)) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 1/4)))))
(+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (log.f32 (/.f32 -1 u)) (+.f32 (/.f32 1/192 (pow.f32 u 3)) (+.f32 (/.f32 1/4 u) (log.f32 1/4)))))
(.f32 4 (.f32 s u))
(.f32 (.f32 4 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 (+.f32 4 (*.f32 8 u))))
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(/.f32 (neg.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -2))) (cbrt.f32 (fma.f32 4 u -1)))
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(.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2)) (/.f32 -1 (cbrt.f32 (fma.f32 4 u -1))))
(/.f32 (neg.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -2))) (cbrt.f32 (fma.f32 4 u -1)))
(.f32 (+.f32 1 (.f32 4 u)) (/.f32 1 (+.f32 1 (.f32 (.f32 u u) -16))))
(.f32 (+.f32 (.f32 4 u) 1) (/.f32 1 (+.f32 1 (.f32 u (.f32 u -16)))))
(/.f32 (fma.f32 4 u 1) (fma.f32 u (*.f32 u -16) 1))
(.f32 (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u)))) (/.f32 1 (+.f32 1 (*.f32 (pow.f32 u 3) -64))))
(.f32 (fma.f32 16 (.f32 u u) (+.f32 (.f32 4 u) 1)) (/.f32 1 (+.f32 1 (.f32 (pow.f32 u 3) -64))))
(/.f32 (fma.f32 (*.f32 u u) 16 (fma.f32 4 u 1)) (fma.f32 (pow.f32 u 3) -64 1))
(/.f32 (fma.f32 (*.f32 u 16) u (fma.f32 4 u 1)) (fma.f32 (pow.f32 u 3) -64 1))
(.f32 -1 (/.f32 1 (+.f32 (.f32 4 u) -1)))
(/.f32 -1 (fma.f32 4 u -1))
(.f32 (/.f32 1 (+.f32 (.f32 4 u) -1)) -1)
(/.f32 -1 (fma.f32 4 u -1))
(.f32 (/.f32 1 (+.f32 1 (.f32 (.f32 u u) -16))) (+.f32 1 (.f32 4 u)))
(.f32 (+.f32 (.f32 4 u) 1) (/.f32 1 (+.f32 1 (.f32 u (.f32 u -16)))))
(/.f32 (fma.f32 4 u 1) (fma.f32 u (*.f32 u -16) 1))
(.f32 (/.f32 1 (+.f32 1 (.f32 (pow.f32 u 3) -64))) (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (*.f32 u u)))))
(.f32 (fma.f32 16 (.f32 u u) (+.f32 (.f32 4 u) 1)) (/.f32 1 (+.f32 1 (.f32 (pow.f32 u 3) -64))))
(/.f32 (fma.f32 (*.f32 u u) 16 (fma.f32 4 u 1)) (fma.f32 (pow.f32 u 3) -64 1))
(/.f32 (fma.f32 (*.f32 u 16) u (fma.f32 4 u 1)) (fma.f32 (pow.f32 u 3) -64 1))
(.f32 (pow.f32 (sqrt.f32 (+.f32 1 (.f32 u -4))) -1) (pow.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4))) -1))
(pow.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4))) -2)
(pow.f32 (sqrt.f32 (fma.f32 u -4 1)) -2)
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 1 (.f32 u -4))) 2) -1) (pow.f32 (cbrt.f32 (+.f32 1 (*.f32 u -4))) -1))
(.f32 (/.f32 1 (pow.f32 (cbrt.f32 (+.f32 1 (.f32 u -4))) 2)) (/.f32 1 (cbrt.f32 (+.f32 1 (*.f32 u -4)))))
(/.f32 (*.f32 1 (/.f32 1 (cbrt.f32 (fma.f32 u -4 1)))) (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 2))
(/.f32 (/.f32 1 (cbrt.f32 (fma.f32 u -4 1))) (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 2))
(.f32 (pow.f32 (cbrt.f32 (+.f32 1 (.f32 u -4))) -1) (pow.f32 (pow.f32 (cbrt.f32 (+.f32 1 (*.f32 u -4))) 2) -1))
(.f32 (/.f32 1 (pow.f32 (cbrt.f32 (+.f32 1 (.f32 u -4))) 2)) (/.f32 1 (cbrt.f32 (+.f32 1 (*.f32 u -4)))))
(/.f32 (*.f32 1 (/.f32 1 (cbrt.f32 (fma.f32 u -4 1)))) (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 2))
(/.f32 (/.f32 1 (cbrt.f32 (fma.f32 u -4 1))) (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 2))
(.f32 (/.f32 (+.f32 1 (.f32 4 u)) (-.f32 1 (.f32 (.f32 u (pow.f32 u 3)) 256))) (+.f32 1 (.f32 16 (.f32 u u))))
(/.f32 (.f32 (+.f32 (.f32 4 u) 1) (+.f32 1 (.f32 (.f32 u u) 16))) (-.f32 1 (.f32 u (.f32 (pow.f32 u 3) 256))))
(.f32 (fma.f32 (.f32 u u) 16 1) (/.f32 (fma.f32 4 u 1) (+.f32 1 (*.f32 (pow.f32 u 4) -256))))
(/.f32 (.f32 (fma.f32 4 u 1) (fma.f32 (.f32 u 16) u 1)) (+.f32 1 (*.f32 (pow.f32 u 4) -256)))
(.f32 (/.f32 (+.f32 1 (.f32 4 u)) (-.f32 1 (pow.f32 (.f32 16 (.f32 u u)) 3))) (+.f32 1 (+.f32 (.f32 16 (.f32 u u)) (.f32 (.f32 u (pow.f32 u 3)) 256))))
(.f32 (/.f32 (+.f32 (.f32 4 u) 1) (-.f32 1 (.f32 4096 (pow.f32 (.f32 u u) 3)))) (+.f32 1 (fma.f32 16 (.f32 u u) (.f32 u (*.f32 (pow.f32 u 3) 256)))))
(.f32 (/.f32 (fma.f32 4 u 1) (+.f32 1 (.f32 (pow.f32 u 6) -4096))) (+.f32 1 (fma.f32 (.f32 u u) 16 (.f32 (pow.f32 u 4) 256))))
(.f32 (/.f32 (fma.f32 4 u 1) (+.f32 1 (.f32 (pow.f32 u 6) -4096))) (+.f32 (fma.f32 (.f32 u 16) u 1) (.f32 (pow.f32 u 4) 256)))
(.f32 (/.f32 1 (+.f32 -1 (.f32 16 (.f32 u u)))) (+.f32 (.f32 u -4) -1))
(.f32 (/.f32 1 (+.f32 -1 (.f32 (*.f32 u u) 16))) (fma.f32 u -4 -1))
(/.f32 (fma.f32 u -4 -1) (fma.f32 (*.f32 u u) 16 -1))
(.f32 (/.f32 1 (+.f32 -1 (neg.f32 (.f32 (pow.f32 u 3) -64)))) (+.f32 (neg.f32 (+.f32 1 (.f32 16 (.f32 u u)))) (*.f32 u -4)))
(.f32 (/.f32 1 (-.f32 -1 (.f32 (pow.f32 u 3) -64))) (+.f32 (.f32 u -4) (neg.f32 (+.f32 1 (.f32 (*.f32 u u) 16)))))
(/.f32 (-.f32 (.f32 u -4) (fma.f32 (.f32 u u) 16 1)) (fma.f32 (pow.f32 u 3) 64 -1))
(/.f32 (+.f32 -1 (.f32 u (+.f32 (.f32 u -16) -4))) (fma.f32 (pow.f32 u 3) 64 -1))
(.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 u -4) 3))) (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (*.f32 u u)))))
(.f32 (fma.f32 16 (.f32 u u) (+.f32 (.f32 4 u) 1)) (/.f32 1 (+.f32 1 (.f32 (pow.f32 u 3) -64))))
(/.f32 (fma.f32 (*.f32 u u) 16 (fma.f32 4 u 1)) (fma.f32 (pow.f32 u 3) -64 1))
(/.f32 (fma.f32 (*.f32 u 16) u (fma.f32 4 u 1)) (fma.f32 (pow.f32 u 3) -64 1))
(.f32 (/.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2) (sqrt.f32 (+.f32 1 (.f32 (pow.f32 u 3) -64)))) (sqrt.f32 (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u))))))
(.f32 (/.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2) (sqrt.f32 (+.f32 1 (.f32 (pow.f32 u 3) -64)))) (sqrt.f32 (fma.f32 16 (.f32 u u) (+.f32 (*.f32 4 u) 1))))
(.f32 (/.f32 (pow.f32 (fma.f32 u -4 1) -1/2) (sqrt.f32 (fma.f32 (pow.f32 u 3) -64 1))) (sqrt.f32 (fma.f32 (.f32 u u) 16 (fma.f32 4 u 1))))
(.f32 (/.f32 (pow.f32 (fma.f32 u -4 1) -1/2) (hypot.f32 1 (pow.f32 (.f32 u -4) 3/2))) (sqrt.f32 (fma.f32 (*.f32 u 16) u (fma.f32 4 u 1))))
(.f32 (/.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2) (sqrt.f32 (+.f32 1 (.f32 (.f32 u u) -16)))) (sqrt.f32 (+.f32 1 (*.f32 4 u))))
(.f32 (/.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2) (sqrt.f32 (+.f32 1 (.f32 u (.f32 u -16))))) (sqrt.f32 (+.f32 (*.f32 4 u) 1)))
(.f32 (/.f32 (pow.f32 (fma.f32 u -4 1) -1/2) (sqrt.f32 (fma.f32 u (.f32 u -16) 1))) (sqrt.f32 (fma.f32 4 u 1)))
(.f32 (/.f32 -1 (+.f32 -1 (.f32 16 (.f32 u u)))) (+.f32 1 (.f32 4 u)))
(.f32 (/.f32 1 (+.f32 -1 (.f32 (*.f32 u u) 16))) (fma.f32 u -4 -1))
(/.f32 (fma.f32 u -4 -1) (fma.f32 (*.f32 u u) 16 -1))
(.f32 (/.f32 -1 (+.f32 -1 (neg.f32 (.f32 (pow.f32 u 3) -64)))) (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (*.f32 u u)))))
(.f32 (fma.f32 16 (.f32 u u) (+.f32 (.f32 4 u) 1)) (/.f32 -1 (-.f32 -1 (.f32 (pow.f32 u 3) -64))))
(/.f32 (neg.f32 (fma.f32 (*.f32 u u) 16 (fma.f32 4 u 1))) (fma.f32 (pow.f32 u 3) 64 -1))
(/.f32 (neg.f32 (fma.f32 (*.f32 u 16) u (fma.f32 4 u 1))) (fma.f32 (pow.f32 u 3) 64 -1))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2)) (cbrt.f32 (+.f32 1 (.f32 (pow.f32 u 3) -64)))) (cbrt.f32 (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u))))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2)) (cbrt.f32 (+.f32 1 (.f32 (pow.f32 u 3) -64)))) (cbrt.f32 (fma.f32 16 (.f32 u u) (+.f32 (*.f32 4 u) 1))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -2)) (cbrt.f32 (fma.f32 (pow.f32 u 3) -64 1))) (cbrt.f32 (fma.f32 (.f32 u u) 16 (fma.f32 4 u 1))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -2)) (cbrt.f32 (fma.f32 (pow.f32 u 3) -64 1))) (cbrt.f32 (fma.f32 (.f32 u 16) u (fma.f32 4 u 1))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2)) (cbrt.f32 (+.f32 1 (.f32 (.f32 u u) -16)))) (cbrt.f32 (+.f32 1 (*.f32 4 u))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2)) (cbrt.f32 (+.f32 1 (.f32 u (.f32 u -16))))) (cbrt.f32 (+.f32 (*.f32 4 u) 1)))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -2)) (cbrt.f32 (fma.f32 u (.f32 u -16) 1))) (cbrt.f32 (fma.f32 4 u 1)))
(.f32 (/.f32 (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u)))) (-.f32 1 (.f32 4096 (.f32 (pow.f32 u 3) (pow.f32 u 3))))) (+.f32 1 (*.f32 64 (pow.f32 u 3))))
(.f32 (/.f32 (fma.f32 16 (.f32 u u) (+.f32 (.f32 4 u) 1)) (+.f32 1 (.f32 -4096 (pow.f32 u 6)))) (+.f32 1 (*.f32 (pow.f32 u 3) 64)))
(.f32 (/.f32 (fma.f32 (.f32 u u) 16 (fma.f32 4 u 1)) (+.f32 1 (*.f32 (pow.f32 u 6) -4096))) (fma.f32 (pow.f32 u 3) 64 1))
(.f32 (/.f32 (fma.f32 (.f32 u 16) u (fma.f32 4 u 1)) (+.f32 1 (*.f32 (pow.f32 u 6) -4096))) (fma.f32 (pow.f32 u 3) 64 1))
(.f32 (/.f32 (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u)))) (-.f32 1 (pow.f32 (.f32 64 (pow.f32 u 3)) 3))) (+.f32 1 (.f32 (.f32 64 (pow.f32 u 3)) (+.f32 1 (.f32 64 (pow.f32 u 3))))))
(.f32 (/.f32 (fma.f32 16 (.f32 u u) (+.f32 (.f32 4 u) 1)) (-.f32 1 (.f32 262144 (pow.f32 (pow.f32 u 3) 3)))) (+.f32 1 (.f32 (.f32 (pow.f32 u 3) 64) (+.f32 1 (*.f32 (pow.f32 u 3) 64)))))
(.f32 (/.f32 (fma.f32 (.f32 u u) 16 (fma.f32 4 u 1)) (-.f32 1 (.f32 262144 (pow.f32 (pow.f32 u 3) 3)))) (+.f32 (fma.f32 (pow.f32 u 3) 64 1) (.f32 4096 (pow.f32 u 6))))
(.f32 (/.f32 (fma.f32 (.f32 u 16) u (fma.f32 4 u 1)) (+.f32 1 (.f32 (pow.f32 (pow.f32 u 3) 3) -262144))) (+.f32 (fma.f32 (pow.f32 u 3) 64 1) (.f32 4096 (pow.f32 u 6))))
(.f32 (.f32 (sqrt.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1)))) (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1)))) (.f32 (sqrt.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1)))) (/.f32 -1 (cbrt.f32 (+.f32 (*.f32 4 u) -1)))))
(/.f32 -1 (fma.f32 4 u -1))
(.f32 (.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2)))) (.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -2)))))
(.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)) (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2))) (.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -2))))))
(.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -2)) (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2)) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))))
(.f32 (.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1))) (sqrt.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1))))) (.f32 (/.f32 -1 (cbrt.f32 (+.f32 (.f32 4 u) -1))) (sqrt.f32 (/.f32 -1 (cbrt.f32 (+.f32 (*.f32 4 u) -1))))))
(/.f32 -1 (fma.f32 4 u -1))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2))) (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2))) (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2))) (cbrt.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2))))
(.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)) (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -2))) (.f32 (cbrt.f32 (pow.f32 (+.f32 1 (.f32 u -4)) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -2))))))
(.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -2)) (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2)) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))))
(pow.f32 (+.f32 1 (*.f32 u -4)) -1)
(/.f32 1 (+.f32 1 (*.f32 u -4)))
(/.f32 1 (fma.f32 u -4 1))
(pow.f32 (/.f32 1 (+.f32 1 (*.f32 u -4))) 1)
(/.f32 1 (+.f32 1 (*.f32 u -4)))
(/.f32 1 (fma.f32 u -4 1))
(pow.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2) 2)
(/.f32 1 (+.f32 1 (*.f32 u -4)))
(/.f32 1 (fma.f32 u -4 1))
(pow.f32 (/.f32 -1 (cbrt.f32 (+.f32 (*.f32 4 u) -1))) 3)
(/.f32 -1 (fma.f32 4 u -1))
(pow.f32 (pow.f32 (/.f32 1 (+.f32 1 (*.f32 u -4))) 3) 1/3)
(/.f32 1 (+.f32 1 (*.f32 u -4)))
(/.f32 1 (fma.f32 u -4 1))
(pow.f32 (E.f32) (neg.f32 (log1p.f32 (*.f32 u -4))))
(exp.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 2)) (cbrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))))
(pow.f32 (E.f32) (neg.f32 (log1p.f32 (*.f32 u -4))))
(exp.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))
(pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))))
(pow.f32 (E.f32) (neg.f32 (log1p.f32 (*.f32 u -4))))
(exp.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))
(sqrt.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -2))
(fabs.f32 (/.f32 1 (fma.f32 u -4 1)))
(sqrt.f32 (pow.f32 (fma.f32 u -4 1) -2))
(log.f32 (exp.f32 (/.f32 1 (+.f32 1 (*.f32 u -4)))))
(/.f32 1 (+.f32 1 (*.f32 u -4)))
(/.f32 1 (fma.f32 u -4 1))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (+.f32 1 (*.f32 u -4))))))
(/.f32 1 (+.f32 1 (*.f32 u -4)))
(/.f32 1 (fma.f32 u -4 1))
(cbrt.f32 (pow.f32 (/.f32 1 (+.f32 1 (*.f32 u -4))) 3))
(/.f32 1 (+.f32 1 (*.f32 u -4)))
(/.f32 1 (fma.f32 u -4 1))
(expm1.f32 (log1p.f32 (/.f32 1 (+.f32 1 (*.f32 u -4)))))
(/.f32 1 (+.f32 1 (*.f32 u -4)))
(/.f32 1 (fma.f32 u -4 1))
(exp.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))
(pow.f32 (E.f32) (neg.f32 (log1p.f32 (*.f32 u -4))))
(log1p.f32 (expm1.f32 (/.f32 1 (+.f32 1 (*.f32 u -4)))))
(/.f32 1 (+.f32 1 (*.f32 u -4)))
(/.f32 1 (fma.f32 u -4 1))

localize25.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series40.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	s	@	0	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
0.0ms	s	@	inf	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
0.0ms	u	@	inf	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
0.0ms	u	@	0	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
0.0ms	u	@	-inf	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1650×	`add-sqr-sqrt`
1630×	`*-un-lft-identity`
1516×	`add-cube-cbrt`
1496×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	201	17
2	2390	17

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

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

Outputs

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1804×	`distribute-rgt-in`
1798×	`distribute-lft-in`
1038×	`associate-+r+`
874×	`associate-r`
782×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1159
1	279	1115
2	847	1081
3	3806	1065

Stop Event

1×	node limit

Counts

39 → 74

Calls

Call 1

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

Outputs
(.f32 4 (.f32 s u))
(+.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 u (+.f32 (.f32 s (.f32 8 u)) (.f32 4 s)))
(.f32 s (+.f32 (.f32 4 u) (.f32 8 (.f32 u u))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(fma.f32 64/3 (.f32 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 4 (.f32 s u) (.f32 s (+.f32 (.f32 u (.f32 u 8)) (*.f32 64/3 (pow.f32 u 3)))))
(fma.f32 4 (.f32 s u) (.f32 s (+.f32 (.f32 8 (.f32 u u)) (*.f32 64/3 (pow.f32 u 3)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(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 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 s u) (fma.f32 8 (.f32 s (.f32 u u)) (.f32 s (.f32 (pow.f32 u 4) 64)))))
(fma.f32 s (.f32 64/3 (pow.f32 u 3)) (fma.f32 4 (.f32 s u) (.f32 s (+.f32 (.f32 u (.f32 u 8)) (.f32 64 (pow.f32 u 4))))))
(fma.f32 4 (.f32 s u) (fma.f32 s (.f32 64/3 (pow.f32 u 3)) (.f32 s (+.f32 (.f32 64 (pow.f32 u 4)) (.f32 8 (.f32 u u))))))
(.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 (+.f32 (log.f32 u) (log.f32 -4)) (neg.f32 s))
(*.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))))
(fma.f32 s (-.f32 (neg.f32 (log.f32 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))))
(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 (+.f32 (log.f32 u) (log.f32 -4)) (neg.f32 s) (*.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4)))
(fma.f32 s (-.f32 (neg.f32 (log.f32 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 1/192 (/.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 (+.f32 (log.f32 u) (log.f32 -4)) (neg.f32 s) (*.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4))))
(fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 s (-.f32 (neg.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)))))
(fma.f32 s (-.f32 (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))))
(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 (/.f32 1/32 u) 1/4)))
(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 1/192 (/.f32 s (pow.f32 u 3)))) (*.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))))
(+.f32 (.f32 (/.f32 1/192 (pow.f32 u 3)) s) (fma.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (neg.f32 s) (.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4))))
(+.f32 (fma.f32 s (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) (.f32 1/4 (/.f32 s u))) (.f32 (/.f32 s (*.f32 u u)) (+.f32 1/32 (/.f32 1/192 u))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(-.f32 0 (.f32 (log1p.f32 (.f32 u -4)) s))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (log1p.f32 (.f32 u -4)) s))) 1)
(.f32 s (log1p.f32 (.f32 u -4)))
(pow.f32 (.f32 (log1p.f32 (.f32 u -4)) s) 1)
(.f32 s (log1p.f32 (.f32 u -4)))
(pow.f32 (sqrt.f32 (.f32 (log1p.f32 (.f32 u -4)) s)) 2)
(.f32 s (log1p.f32 (.f32 u -4)))
(pow.f32 (cbrt.f32 (.f32 (log1p.f32 (.f32 u -4)) s)) 3)
(.f32 s (log1p.f32 (.f32 u -4)))
(pow.f32 (pow.f32 (.f32 (log1p.f32 (.f32 u -4)) s) 3) 1/3)
(.f32 s (log1p.f32 (.f32 u -4)))
(neg.f32 (.f32 (log1p.f32 (.f32 u -4)) s))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(sqrt.f32 (pow.f32 (.f32 (log1p.f32 (.f32 u -4)) s) 2))
(.f32 s (log1p.f32 (.f32 u -4)))
(log.f32 (pow.f32 (+.f32 (*.f32 u -4) 1) s))
(.f32 s (log1p.f32 (.f32 u -4)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (log1p.f32 (.f32 u -4)) s))))
(.f32 s (log1p.f32 (.f32 u -4)))
(cbrt.f32 (pow.f32 (.f32 (log1p.f32 (.f32 u -4)) s) 3))
(.f32 s (log1p.f32 (.f32 u -4)))
(expm1.f32 (log1p.f32 (.f32 (log1p.f32 (.f32 u -4)) s)))
(.f32 s (log1p.f32 (.f32 u -4)))
(exp.f32 (log.f32 (.f32 (log1p.f32 (.f32 u -4)) s)))
(.f32 s (log1p.f32 (.f32 u -4)))
(exp.f32 (.f32 (log.f32 (.f32 (log1p.f32 (*.f32 u -4)) s)) 1))
(.f32 s (log1p.f32 (.f32 u -4)))
(log1p.f32 (expm1.f32 (.f32 (log1p.f32 (.f32 u -4)) s)))
(.f32 s (log1p.f32 (.f32 u -4)))

eval152.0ms (1.2%)

Compiler: Compiled 7082 to 5257 computations (25.8% saved)

prune83.0ms (0.6%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	374	20	394
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	374	22	396

Error

0.0b

Counts

396 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.7b	(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (.f32 s (.f32 u (+.f32 4 (.f32 8 u)))))
	4.1b	(fma.f32 4 (.f32 u s) (.f32 8 (.f32 (.f32 u u) s)))
	2.7b	(fma.f32 4 (.f32 s u) (.f32 s (+.f32 (.f32 u (.f32 u 8)) (*.f32 64/3 (pow.f32 u 3)))))
	0.5b	(pow.f32 (sqrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 2)
	0.7b	(pow.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 3)
	0.5b	(/.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 3) (/.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 2) s))
	2.7b	(/.f32 (.f32 (-.f32 0 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 2)) s) (log1p.f32 (*.f32 u -4)))
	2.1b	(+.f32 (.f32 s (.f32 u (+.f32 4 (.f32 8 u)))) (.f32 s (fma.f32 64 (pow.f32 u 4) (*.f32 64/3 (pow.f32 u 3)))))
	8.4b	(.f32 (.f32 4 s) u)
✓	0.3b	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
▶	4.0b	(.f32 u (+.f32 (.f32 s (.f32 8 u)) (.f32 4 s)))
	0.5b	(.f32 s (pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 2))
▶	0.3b	(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
	4.0b	(.f32 s (+.f32 (.f32 4 u) (.f32 8 (.f32 u u))))
	12.4b	(.f32 s (.f32 (log.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4)))) -2))
	4.1b	(.f32 s (.f32 u (+.f32 4 (*.f32 8 u))))
	13.3b	(.f32 s (.f32 2 (log.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2))))
✓	12.4b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
	12.5b	(.f32 s (log.f32 (.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 u -4) 3))) (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u)))))))
▶	1.4b	(.f32 s (exp.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))
▶	8.5b	(.f32 4 (.f32 u s))
	2.8b	(exp.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))

Compiler

Compiled 601 to 465 computations (22.6% saved)

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 51 to 35 computations (31.4% saved)

series53.0ms (0.4%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
48.0ms	s	@	0	(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
1.0ms	u	@	0	(log1p.f32 (.f32 u (.f32 u -16)))
0.0ms	s	@	inf	(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
0.0ms	u	@	-inf	(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
0.0ms	u	@	inf	(log1p.f32 (.f32 u (.f32 u -16)))

rewrite116.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`swap-sqr`
696×	`distribute-rgt-in`
694×	`associate-*r/`
644×	`distribute-lft-in`
558×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	290	100
2	3501	100

Stop Event

1×	node limit

Counts

4 → 201

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (.f32 4 u)) (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (.f32 4 u)) (+.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (fma.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 1 (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (.f32 4 u)) (+.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (.f32 4 u)) (+.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 2) (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (fma.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 1 (log1p.f32 (.f32 u (.f32 u -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (log1p.f32 (.f32 u (.f32 u -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 2) (log1p.f32 (.f32 u (.f32 u -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (+.f32 (fma.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 1 (log1p.f32 (.f32 u (.f32 u -16)))) (fma.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 1 (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (+.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (log1p.f32 (.f32 u (.f32 u -16)))) (fma.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 1 (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (+.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 2) (log1p.f32 (.f32 u (.f32 u -16)))) (fma.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 1 (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (+.f32 (fma.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 1 (log1p.f32 (.f32 u (.f32 u -16)))) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (+.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (log1p.f32 (.f32 u (.f32 u -16)))) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (+.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 2) (log1p.f32 (.f32 u (.f32 u -16)))) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (+.f32 (fma.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 1 (log1p.f32 (.f32 u (.f32 u -16)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 2) (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (+.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (log1p.f32 (.f32 u (.f32 u -16)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 2) (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (+.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 2) (log1p.f32 (.f32 u (.f32 u -16)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 2) (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (.f32 1 (fma.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 1 (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (.f32 1 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (.f32 1 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 2) (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (.f32 (fma.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 1 (log1p.f32 (.f32 u (.f32 u -16)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (log1p.f32 (.f32 u (.f32 u -16)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) (.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 2) (log1p.f32 (.f32 u (.f32 u -16)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (log1p.f32 (.f32 4 u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (+.f32 (log1p.f32 (.f32 4 u)) (fma.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 1 (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (+.f32 (log1p.f32 (.f32 4 u)) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (+.f32 (log1p.f32 (.f32 4 u)) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 2) (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 1 (log1p.f32 (.f32 u (.f32 u -16)))) (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (log1p.f32 (.f32 u (.f32 u -16)))) (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 2) (log1p.f32 (.f32 u (.f32 u -16)))) (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (.f32 4 u)) (exp.f32 (log1p.f32 (log1p.f32 (.f32 u (.f32 u -16)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16))))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16))))) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u 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simplify142.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1044×	`fma-def`
846×	`associate-r`
748×	`associate-l`
676×	`associate-/l*`
532×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	599	18569
1	1637	17737

Stop Event

1×	node limit

Counts

261 → 392

Calls

Call 1

Inputs
(*.f32 4 u)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 4)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 4 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 4))) (+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 4)))) (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 4) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))) (+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u)))))
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(/.f32 (/.f32 (.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 4 u)) 2) (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2)) s) (.f32 (cbrt.f32 (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16))))) (cbrt.f32 (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16))))))) (cbrt.f32 (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16))))))
(/.f32 (/.f32 (.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 4 u)) 3) (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3)) s) 1) (+.f32 (pow.f32 (log1p.f32 (.f32 4 u)) 2) (.f32 (log1p.f32 (.f32 u (.f32 u -16))) (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (*.f32 u -16)))))))
(/.f32 (/.f32 (.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 4 u)) 3) (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3)) s) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 4 u)) 2) (.f32 (log1p.f32 (.f32 u (.f32 u -16))) (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 4 u)) 2) (.f32 (log1p.f32 (.f32 u (.f32 u -16))) (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16))))))))
(/.f32 (/.f32 (.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 4 u)) 3) (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3)) s) (.f32 (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 4 u)) 2) (.f32 (log1p.f32 (.f32 u (.f32 u -16))) (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16))))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 4 u)) 2) (.f32 (log1p.f32 (.f32 u (.f32 u -16))) (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16))))))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 4 u)) 2) (.f32 (log1p.f32 (.f32 u (.f32 u -16))) (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16))))))))
(pow.f32 (.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) s) 1)
(pow.f32 (sqrt.f32 (.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) s)) 2)
(pow.f32 (cbrt.f32 (.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) s)) 3)
(pow.f32 (pow.f32 (.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) s) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) s) 2))
(log.f32 (pow.f32 (/.f32 (+.f32 (.f32 4 u) 1) (+.f32 (.f32 u (*.f32 u -16)) 1)) s))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) s))))
(cbrt.f32 (pow.f32 (.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) s) 3))
(cbrt.f32 (.f32 (pow.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) 3) (pow.f32 s 3)))
(cbrt.f32 (.f32 (pow.f32 s 3) (pow.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) 3)))
(expm1.f32 (log1p.f32 (.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) s)))
(exp.f32 (log.f32 (.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) s)))
(exp.f32 (.f32 (log.f32 (.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (*.f32 u -16)))) s)) 1))
(log1p.f32 (expm1.f32 (.f32 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))) s)))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (.f32 u (.f32 u -16))))) 1)
(.f32 (log1p.f32 (.f32 u (*.f32 u -16))) 1)
(.f32 1 (log1p.f32 (.f32 u (*.f32 u -16))))
(.f32 (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (sqrt.f32 (log1p.f32 (.f32 u (*.f32 u -16)))))
(.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u (*.f32 u -16)))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 2) (cbrt.f32 (log1p.f32 (.f32 u (*.f32 u -16)))))
(pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 1)
(pow.f32 (sqrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 2)
(pow.f32 (cbrt.f32 (log1p.f32 (.f32 u (.f32 u -16)))) 3)
(pow.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3) 1/3)
(sqrt.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2))
(log.f32 (+.f32 (.f32 u (.f32 u -16)) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (.f32 u (.f32 u -16)))))
(exp.f32 (log.f32 (log1p.f32 (.f32 u (.f32 u -16)))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 u (*.f32 u -16)))) 1))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 4 u)))) 1)
(.f32 (log1p.f32 (.f32 4 u)) 1)
(.f32 1 (log1p.f32 (.f32 4 u)))
(.f32 (sqrt.f32 (log1p.f32 (.f32 4 u))) (sqrt.f32 (log1p.f32 (*.f32 4 u))))
(.f32 (cbrt.f32 (log1p.f32 (.f32 4 u))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 4 u))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 4 u))) 2) (cbrt.f32 (log1p.f32 (*.f32 4 u))))
(pow.f32 (log1p.f32 (*.f32 4 u)) 1)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 4 u))) 2)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 4 u))) 3)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 4 u)) 3) 1/3)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 4 u)) 2))
(log.f32 (+.f32 (*.f32 4 u) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 4 u)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 4 u))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 4 u))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 4 u))) 1))

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 u (.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)))
(+.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))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (+.f32 (log.f32 -16) (*.f32 (neg.f32 (log.f32 u)) -2)))
(+.f32 (log.f32 u) (-.f32 (log.f32 4) (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 4))) (+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u)))))
(-.f32 (-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (+.f32 (log.f32 4) (/.f32 1/4 u))) (log.f32 -16)) (*.f32 (neg.f32 (log.f32 u)) -2))
(+.f32 (log.f32 u) (+.f32 (/.f32 1/4 u) (-.f32 (log.f32 4) (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 4)))) (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (+.f32 (+.f32 (log.f32 4) (/.f32 1/4 u)) (/.f32 1/32 (.f32 u u)))) (+.f32 (log.f32 -16) (.f32 (neg.f32 (log.f32 u)) -2)))
(+.f32 (+.f32 (log.f32 u) (/.f32 1/32 (*.f32 u u))) (+.f32 (/.f32 1/4 u) (-.f32 (log.f32 4) (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 4) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))) (+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u)))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (+.f32 (/.f32 1/32 (.f32 u u)) (+.f32 (+.f32 (log.f32 4) (/.f32 1/4 u)) (/.f32 1/192 (pow.f32 u 3))))) (+.f32 (log.f32 -16) (.f32 (neg.f32 (log.f32 u)) -2)))
(+.f32 (log.f32 u) (+.f32 (/.f32 1/32 (*.f32 u u)) (-.f32 (+.f32 (log.f32 4) (+.f32 (/.f32 1/192 (pow.f32 u 3)) (/.f32 1/4 u))) (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)) (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4)) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16)))
(-.f32 (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 -4))) (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (+.f32 (/.f32 1/4 u) (log.f32 -4))) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16)))
(-.f32 (+.f32 (/.f32 1/4 u) (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u)))) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (log.f32 -4)))) (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (log.f32 -4)))) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16)))
(-.f32 (+.f32 (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))) (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u)))) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (+.f32 (log.f32 -4) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))) (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (+.f32 (/.f32 1/4 u) (log.f32 -4)) (/.f32 1/192 (pow.f32 u 3))))) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16)))
(-.f32 (+.f32 (+.f32 (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))) (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u)))) (/.f32 1/192 (pow.f32 u 3))) (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16)))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 4 (.f32 s u))
(.f32 (.f32 4 s) u)
(.f32 4 (.f32 u s))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(fma.f32 4 (.f32 u s) (.f32 (.f32 8 s) (.f32 u u)))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 u (.f32 u s))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 (.f32 8 s) (*.f32 u u))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 u (*.f32 u s)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 (.f32 u u) s) (.f32 64 (.f32 (pow.f32 u 4) s)))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 u (.f32 u s)) (.f32 64 (.f32 (pow.f32 u 4) s)))))
(.f32 s (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)) (+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u))))))
(.f32 (-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 (neg.f32 (log.f32 u)) -2))) s)
(*.f32 (+.f32 (log.f32 u) (-.f32 (log.f32 4) (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16)))) s)
(+.f32 (.f32 s (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (.f32 1/4 (/.f32 s u)))
(fma.f32 s (-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 (neg.f32 (log.f32 u)) -2))) (.f32 1/4 (/.f32 s u)))
(fma.f32 (+.f32 (log.f32 u) (-.f32 (log.f32 4) (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16)))) s (*.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 s (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 s (-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 (neg.f32 (log.f32 u)) -2))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 (+.f32 (log.f32 u) (-.f32 (log.f32 4) (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16)))) s (.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 s (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)) (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
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(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 (+.f32 (log.f32 u) (-.f32 (log.f32 4) (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16)))) s (fma.f32 1/4 (/.f32 s u) (/.f32 (.f32 1/192 s) (pow.f32 u 3)))))
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(.f32 1 (log1p.f32 (.f32 4 u)))
(log1p.f32 (*.f32 4 u))
(.f32 (sqrt.f32 (log1p.f32 (.f32 4 u))) (sqrt.f32 (log1p.f32 (*.f32 4 u))))
(log1p.f32 (*.f32 4 u))
(.f32 (cbrt.f32 (log1p.f32 (.f32 4 u))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 4 u))) 2))
(log1p.f32 (*.f32 4 u))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 4 u))) 2) (cbrt.f32 (log1p.f32 (*.f32 4 u))))
(log1p.f32 (*.f32 4 u))
(pow.f32 (log1p.f32 (*.f32 4 u)) 1)
(log1p.f32 (*.f32 4 u))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 4 u))) 2)
(log1p.f32 (*.f32 4 u))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 4 u))) 3)
(log1p.f32 (*.f32 4 u))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 4 u)) 3) 1/3)
(log1p.f32 (*.f32 4 u))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 4 u)) 2))
(fabs.f32 (log1p.f32 (*.f32 4 u)))
(log.f32 (+.f32 (*.f32 4 u) 1))
(log1p.f32 (*.f32 4 u))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 4 u)) 3))
(log1p.f32 (*.f32 4 u))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 4 u))))
(log1p.f32 (*.f32 4 u))
(exp.f32 (log.f32 (log1p.f32 (*.f32 4 u))))
(log1p.f32 (*.f32 4 u))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 4 u))) 1))
(log1p.f32 (*.f32 4 u))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`add-sqr-sqrt`
1298×	`*-un-lft-identity`
1208×	`add-cube-cbrt`
1192×	`add-cbrt-cube`
1178×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	142	20
2	1634	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1562×	`distribute-lft-in`
1504×	`distribute-rgt-in`
1110×	`fma-def`
658×	`log-prod`
614×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	700
1	138	700
2	575	700
3	2138	700
4	7094	700

Stop Event

1×	node limit

Counts

70 → 24

Calls

Call 1

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

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

localize35.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`unswap-sqr`
846×	`swap-sqr`
666×	`associate-*r/`
644×	`distribute-rgt-in`
606×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	241	44
2	3135	44

Stop Event

1×	node limit

Counts

2 → 172

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (*.f32 u (*.f32 s 8))) (*.f32 u (*.f32 s 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (*.f32 s 4)) (*.f32 u (*.f32 u (*.f32 s 8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u (*.f32 u (*.f32 s 8))) 1) (*.f32 (*.f32 u (*.f32 s 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u (*.f32 s 4)) 1) (*.f32 (*.f32 u (*.f32 u (*.f32 s 8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (*.f32 (*.f32 u (*.f32 u (*.f32 s 8))) 1)) (*.f32 1 (*.f32 (*.f32 u (*.f32 s 4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (*.f32 u (*.f32 u (*.f32 s 8))) 1) 1) (*.f32 (*.f32 (*.f32 u (*.f32 s 4)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 u s) (+.f32 (*.f32 u 8) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u (/.f32 1 (*.f32 s (+.f32 (*.f32 u 8) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 s s) (-.f32 (*.f32 64 (*.f32 u u)) 16)) (/.f32 (*.f32 s (+.f32 (*.f32 u 8) -4)) u))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 s 3) (+.f32 (pow.f32 (*.f32 u 8) 3) 64)) (/.f32 (+.f32 (*.f32 16 (*.f32 s s)) (*.f32 (*.f32 u (*.f32 s 8)) (*.f32 s (+.f32 (*.f32 u 8) -4)))) u))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (*.f32 (*.f32 s s) (-.f32 (*.f32 64 (*.f32 u u)) 16))) (*.f32 s (+.f32 (*.f32 u 8) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (*.f32 (pow.f32 s 3) (+.f32 (pow.f32 (*.f32 u 8) 3) 64))) (+.f32 (*.f32 16 (*.f32 s s)) (*.f32 (*.f32 u (*.f32 s 8)) (*.f32 s (+.f32 (*.f32 u 8) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (*.f32 s s) (-.f32 (*.f32 64 (*.f32 u u)) 16)) u) (*.f32 s (+.f32 (*.f32 u 8) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (pow.f32 s 3) (+.f32 (pow.f32 (*.f32 u 8) 3) 64)) u) (+.f32 (*.f32 16 (*.f32 s s)) (*.f32 (*.f32 u (*.f32 s 8)) (*.f32 s (+.f32 (*.f32 u 8) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 64 (*.f32 s s)) (*.f32 u (pow.f32 u 3))) (*.f32 (*.f32 16 (*.f32 s s)) (*.f32 u u))) (*.f32 u (*.f32 s (+.f32 (*.f32 u 8) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 u (*.f32 u (*.f32 s 8))) 3) (pow.f32 (*.f32 u (*.f32 s 4)) 3)) (+.f32 (*.f32 (*.f32 64 (*.f32 s s)) (*.f32 u (pow.f32 u 3))) (*.f32 (*.f32 u (*.f32 s 4)) (-.f32 (*.f32 u (*.f32 s 4)) (*.f32 u (*.f32 u (*.f32 s 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (*.f32 (*.f32 s s) (-.f32 16 (*.f32 64 (*.f32 u u))))) (*.f32 s (-.f32 4 (*.f32 u 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (neg.f32 (*.f32 (*.f32 s s) (-.f32 (*.f32 64 (*.f32 u u)) 16)))) (*.f32 s (neg.f32 (-.f32 (*.f32 u 8) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (neg.f32 (*.f32 (pow.f32 s 3) (+.f32 (pow.f32 (*.f32 u 8) 3) 64)))) (neg.f32 (+.f32 (*.f32 16 (*.f32 s s)) (*.f32 (*.f32 u (*.f32 s 8)) (*.f32 s (+.f32 (*.f32 u 8) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 u (*.f32 (*.f32 s s) (-.f32 (*.f32 64 (*.f32 u u)) 16)))) (*.f32 s (+.f32 (*.f32 u 8) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 u (*.f32 (pow.f32 s 3) (+.f32 (pow.f32 (*.f32 u 8) 3) 64)))) (+.f32 (*.f32 16 (*.f32 s s)) (*.f32 (*.f32 u (*.f32 s 8)) (*.f32 s (+.f32 (*.f32 u 8) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (*.f32 (*.f32 s s) (-.f32 (*.f32 64 (*.f32 u u)) 16)) u)) (*.f32 s (+.f32 (*.f32 u 8) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (*.f32 (pow.f32 s 3) (+.f32 (pow.f32 (*.f32 u 8) 3) 64)) u)) (+.f32 (*.f32 16 (*.f32 s s)) (*.f32 (*.f32 u (*.f32 s 8)) (*.f32 s (+.f32 (*.f32 u 8) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 (*.f32 (*.f32 64 (*.f32 s s)) (*.f32 u (pow.f32 u 3))) (*.f32 (*.f32 16 (*.f32 s s)) (*.f32 u u)))) (*.f32 u (*.f32 s 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simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1474×	`associate-/l*`
1148×	`associate-r`
1124×	`associate-l`
878×	`times-frac`
748×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	486	11608
1	1581	10644

Stop Event

1×	node limit

Counts

220 → 268

Calls

Call 1

Inputs
(.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)))
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(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4)))) (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4)))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4)))) (cbrt.f32 (.f32 s (+.f32 (*.f32 u 8) 4)))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 s (+.f32 (.f32 u 8) 4)))) (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4)))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 s (+.f32 (.f32 u 8) 4)))) (cbrt.f32 (.f32 s (+.f32 (*.f32 u 8) 4)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4)))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))) 2))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4)))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (*.f32 u 8) 4))) 2))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 s (+.f32 (.f32 u 8) 4)))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 s (+.f32 (.f32 u 8) 4)))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (*.f32 u 8) 4))) 2))))
(.f32 (.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))) (sqrt.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))))) (.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))) (sqrt.f32 (cbrt.f32 (.f32 s (+.f32 (*.f32 u 8) 4))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))) 2)) (cbrt.f32 (sqrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))) 2)) (cbrt.f32 (sqrt.f32 (.f32 s (+.f32 (*.f32 u 8) 4))))))
(/.f32 (.f32 s (+.f32 (.f32 u 8) 4)) (/.f32 (.f32 s (+.f32 (.f32 u 8) -4)) (.f32 s (+.f32 (.f32 u 8) -4))))
(/.f32 1 (/.f32 1 (.f32 s (+.f32 (.f32 u 8) 4))))
(/.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) (.f32 s (+.f32 (.f32 u 8) -4)))
(/.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (.f32 u 8) 3) 64)) (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (*.f32 u 8) -4)))))
(/.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4)))) (/.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4)))) (.f32 s (+.f32 (.f32 u 8) 4))))
(/.f32 (sqrt.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16))) (/.f32 (.f32 s (+.f32 (.f32 u 8) -4)) (sqrt.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)))))
(/.f32 (sqrt.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (.f32 u 8) 3) 64))) (/.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4)))) (sqrt.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (*.f32 u 8) 3) 64)))))
(/.f32 (.f32 (cbrt.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16))) (cbrt.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)))) (/.f32 (.f32 s (+.f32 (.f32 u 8) -4)) (cbrt.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (*.f32 u u)) 16)))))
(/.f32 (.f32 (cbrt.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (.f32 u 8) 3) 64))) (cbrt.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (.f32 u 8) 3) 64)))) (/.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4)))) (cbrt.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (.f32 u 8) 3) 64)))))
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 u (.f32 s 8)) 3) (pow.f32 (.f32 u (.f32 s 8)) 3)) (.f32 (.f32 (pow.f32 s 3) (pow.f32 s 3)) 4096)) (.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4)))) (.f32 (pow.f32 s 3) (-.f32 (pow.f32 (*.f32 u 8) 3) 64))))
(/.f32 (.f32 (.f32 s s) (-.f32 16 (.f32 64 (.f32 u u)))) (.f32 s (-.f32 4 (.f32 u 8))))
(/.f32 (-.f32 (.f32 (.f32 s (pow.f32 s 3)) (.f32 (.f32 u (pow.f32 u 3)) 4096)) (.f32 (.f32 s (pow.f32 s 3)) 256)) (.f32 (.f32 s (+.f32 (.f32 u 8) -4)) (.f32 (.f32 s s) (+.f32 (.f32 64 (*.f32 u u)) 16))))
(/.f32 (+.f32 (pow.f32 (pow.f32 (.f32 u (.f32 s 8)) 3) 3) (pow.f32 (.f32 64 (pow.f32 s 3)) 3)) (.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4)))) (+.f32 (.f32 (pow.f32 (.f32 u (.f32 s 8)) 3) (pow.f32 (.f32 u (.f32 s 8)) 3)) (.f32 (.f32 64 (pow.f32 s 3)) (-.f32 (.f32 64 (pow.f32 s 3)) (pow.f32 (.f32 u (*.f32 s 8)) 3))))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (.f32 u (.f32 s 8)) 2) 3) (pow.f32 (.f32 16 (.f32 s s)) 3)) (.f32 (.f32 s (+.f32 (.f32 u 8) -4)) (+.f32 (.f32 (.f32 s (pow.f32 s 3)) (.f32 (.f32 u (pow.f32 u 3)) 4096)) (.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 s s) (+.f32 (.f32 64 (.f32 u u)) 16))))))
(/.f32 (neg.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16))) (.f32 s (neg.f32 (-.f32 (.f32 u 8) 4))))
(/.f32 (neg.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (.f32 u 8) 3) 64))) (neg.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (*.f32 u 8) -4))))))
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(/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) 1) (.f32 s (+.f32 (*.f32 u 8) -4)))
(/.f32 (.f32 (sqrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))) (sqrt.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)))) (sqrt.f32 (.f32 s (+.f32 (*.f32 u 8) -4))))
(/.f32 (.f32 (sqrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))) (sqrt.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (.f32 u 8) 3) 64)))) (sqrt.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4))))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))) 2) (cbrt.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)))) (cbrt.f32 (.f32 s (+.f32 (*.f32 u 8) -4))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))) 2) (cbrt.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (.f32 u 8) 3) 64)))) (cbrt.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4))))))
(/.f32 (.f32 (.f32 (.f32 s s) (-.f32 16 (.f32 64 (.f32 u u)))) 1) (.f32 s (-.f32 4 (*.f32 u 8))))
(/.f32 (.f32 (neg.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16))) 1) (.f32 s (neg.f32 (-.f32 (*.f32 u 8) 4))))
(/.f32 (.f32 (neg.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (.f32 u 8) 3) 64))) 1) (neg.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4))))))
(/.f32 (.f32 (sqrt.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16))) (sqrt.f32 (.f32 s (+.f32 (.f32 u 8) 4)))) (sqrt.f32 (.f32 s (+.f32 (*.f32 u 8) -4))))
(/.f32 (.f32 (sqrt.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (.f32 u 8) 3) 64))) (sqrt.f32 (.f32 s (+.f32 (.f32 u 8) 4)))) (sqrt.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4))))))
(/.f32 (.f32 (cbrt.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16))) (pow.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))) 2)) (cbrt.f32 (.f32 s (+.f32 (*.f32 u 8) -4))))
(/.f32 (.f32 (cbrt.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (.f32 u 8) 3) 64))) (pow.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))) 2)) (cbrt.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4))))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 s (pow.f32 s 3)) (.f32 (.f32 u (pow.f32 u 3)) 4096)) (.f32 (.f32 s (pow.f32 s 3)) 256)) (/.f32 1 (.f32 s (+.f32 (.f32 u 8) -4)))) (.f32 (.f32 s s) (+.f32 (.f32 64 (*.f32 u u)) 16)))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (.f32 u (.f32 s 8)) 2) 3) (pow.f32 (.f32 16 (.f32 s s)) 3)) (/.f32 1 (.f32 s (+.f32 (.f32 u 8) -4)))) (+.f32 (.f32 (.f32 s (pow.f32 s 3)) (.f32 (.f32 u (pow.f32 u 3)) 4096)) (.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 s s) (+.f32 (.f32 64 (.f32 u u)) 16)))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (.f32 u (.f32 s 8)) 3) (pow.f32 (.f32 u (.f32 s 8)) 3)) (.f32 (.f32 (pow.f32 s 3) (pow.f32 s 3)) 4096)) (/.f32 1 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4)))))) (.f32 (pow.f32 s 3) (-.f32 (pow.f32 (*.f32 u 8) 3) 64)))
(/.f32 (.f32 (+.f32 (pow.f32 (pow.f32 (.f32 u (.f32 s 8)) 3) 3) (pow.f32 (.f32 64 (pow.f32 s 3)) 3)) (/.f32 1 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4)))))) (+.f32 (.f32 (pow.f32 (.f32 u (.f32 s 8)) 3) (pow.f32 (.f32 u (.f32 s 8)) 3)) (.f32 (.f32 64 (pow.f32 s 3)) (-.f32 (.f32 64 (pow.f32 s 3)) (pow.f32 (.f32 u (*.f32 s 8)) 3)))))
(/.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) s) (-.f32 (*.f32 u 8) 4))
(/.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) 1) (.f32 s (+.f32 (.f32 u 8) -4)))
(/.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) (sqrt.f32 (.f32 s (+.f32 (.f32 u 8) -4)))) (sqrt.f32 (.f32 s (+.f32 (.f32 u 8) -4))))
(/.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) (.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) -4))) (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) -4))))) (cbrt.f32 (.f32 s (+.f32 (*.f32 u 8) -4))))
(/.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) (.f32 (sqrt.f32 s) (+.f32 (sqrt.f32 (.f32 u 8)) 2))) (.f32 (sqrt.f32 s) (-.f32 (sqrt.f32 (.f32 u 8)) 2)))
(/.f32 (/.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (.f32 u 8) 3) 64)) 1) (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (*.f32 u 8) -4)))))
(/.f32 (/.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (.f32 u 8) 3) 64)) (sqrt.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4)))))) (sqrt.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4))))))
(/.f32 (/.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (.f32 u 8) 3) 64)) (.f32 (cbrt.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4))))) (cbrt.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4))))))) (cbrt.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (.f32 u 8) -4))))))
(pow.f32 (.f32 s (+.f32 (.f32 u 8) 4)) 1)
(pow.f32 (sqrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))) 2)
(pow.f32 (cbrt.f32 (.f32 s (+.f32 (.f32 u 8) 4))) 3)
(pow.f32 (pow.f32 (.f32 s (+.f32 (.f32 u 8) 4)) 3) 1/3)
(neg.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) (.f32 s (neg.f32 (-.f32 (.f32 u 8) 4)))))
(neg.f32 (/.f32 (.f32 (pow.f32 s 3) (+.f32 (pow.f32 (.f32 u 8) 3) 64)) (neg.f32 (+.f32 (.f32 16 (.f32 s s)) (.f32 (.f32 u (.f32 s 8)) (.f32 s (+.f32 (*.f32 u 8) -4)))))))
(sqrt.f32 (pow.f32 (.f32 s (+.f32 (.f32 u 8) 4)) 2))
(log.f32 (exp.f32 (.f32 s (+.f32 (.f32 u 8) 4))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 s (+.f32 (.f32 u 8) 4)))))
(cbrt.f32 (pow.f32 (.f32 s (+.f32 (.f32 u 8) 4)) 3))
(expm1.f32 (log1p.f32 (.f32 s (+.f32 (.f32 u 8) 4))))
(exp.f32 (log.f32 (.f32 s (+.f32 (.f32 u 8) 4))))
(exp.f32 (.f32 (log.f32 (.f32 s (+.f32 (*.f32 u 8) 4))) 1))
(log1p.f32 (expm1.f32 (.f32 s (+.f32 (.f32 u 8) 4))))
(fma.f32 s (.f32 u 8) (.f32 s 4))
(fma.f32 s 4 (.f32 u (.f32 s 8)))
(fma.f32 (.f32 u 8) s (.f32 s 4))
(fma.f32 4 s (.f32 u (.f32 s 8)))
(fma.f32 1 (.f32 u (.f32 s 8)) (*.f32 s 4))
(fma.f32 1 (.f32 s 4) (.f32 u (*.f32 s 8)))
(fma.f32 (.f32 2 (sqrt.f32 s)) (.f32 2 (sqrt.f32 s)) (.f32 u (.f32 s 8)))
(fma.f32 (sqrt.f32 (.f32 u (.f32 s 8))) (sqrt.f32 (.f32 u (.f32 s 8))) (*.f32 s 4))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 s 4)) 2) (cbrt.f32 (.f32 s 4)) (.f32 u (.f32 s 8)))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 u (.f32 s 8))) 2) (cbrt.f32 (.f32 u (.f32 s 8))) (*.f32 s 4))
(fma.f32 (.f32 s 8) u (.f32 s 4))

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

localize84.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 39 computations (30.4% saved)

series7.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

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

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`distribute-rgt-in`
926×	`associate-*r/`
888×	`distribute-lft-in`
726×	`associate-*l/`
336×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	102
1	347	90
2	4148	90

Stop Event

1×	node limit

Counts

4 → 219

Calls

Call 1

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

Outputs
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64) (-.f32 16 (.f32 32 u))) u))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (-.f32 16 (.f32 (.f32 u u) 64))) (+.f32 4 (.f32 -8 u)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512))) (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 16 (.f32 (.f32 u u) 64)) u) (+.f32 4 (.f32 -8 u)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) u) (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 u 4) 3) (pow.f32 (.f32 u (.f32 u 8)) 3)) (+.f32 (.f32 (.f32 u 4) (.f32 u 4)) (-.f32 (.f32 (.f32 u (.f32 u 8)) (.f32 u (.f32 u 8))) (.f32 (.f32 u 4) (.f32 u (.f32 u 8))))))))) (#(struct:change #<rule 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(pow.f32 u 3)) (.f32 (.f32 64/3 s) (pow.f32 u 3))) (-.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)) 2) (.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 (.f32 64/3 s) (pow.f32 u 3))) (pow.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)) 2)) 1) (-.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)) 3) (pow.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) 3)) 1) (+.f32 (.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 (.f32 64/3 s) (pow.f32 u 3))) (-.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)) 2) (.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 s (pow.f32 u 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 s (pow.f32 u 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 s) (pow.f32 u 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (cbrt.f32 s)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 s (pow.f32 u 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (.f32 s s) (pow.f32 u 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 s) (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 s (pow.f32 u 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 s (pow.f32 u 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 s 3) (pow.f32 (pow.f32 u 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (pow.f32 u 3) 3) (pow.f32 s 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 s (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 s (pow.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 s (pow.f32 u 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 s (pow.f32 u 3))))))))

simplify135.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1712×	`associate-/r/`
1046×	`associate-/l*`
926×	`associate-r`
926×	`associate-l`
506×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	542	12221
1	1409	10001
2	5937	9829

Stop Event

1×	node limit

Counts

291 → 316

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 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 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 (.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 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(.f32 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(.f32 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(.f32 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(.f32 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(.f32 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(.f32 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(.f32 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(.f32 -1 (.f32 s (+.f32 (.f32 -64/3 (pow.f32 u 3)) (.f32 -1 (.f32 (+.f32 4 (.f32 8 u)) u)))))
(.f32 -1 (.f32 s (+.f32 (.f32 -64/3 (pow.f32 u 3)) (.f32 -1 (.f32 (+.f32 4 (.f32 8 u)) u)))))
(.f32 -1 (.f32 s (+.f32 (.f32 -64/3 (pow.f32 u 3)) (.f32 -1 (.f32 (+.f32 4 (.f32 8 u)) u)))))
(.f32 -1 (.f32 s (+.f32 (.f32 -64/3 (pow.f32 u 3)) (.f32 -1 (.f32 (+.f32 4 (.f32 8 u)) u)))))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(+.f32 (.f32 u 4) (.f32 u (*.f32 u 8)))
(+.f32 (.f32 u (.f32 u 8)) (*.f32 u 4))
(+.f32 (.f32 (.f32 u 4) 1) (.f32 (.f32 u (*.f32 u 8)) 1))
(+.f32 (.f32 (.f32 u (.f32 u 8)) 1) (.f32 (*.f32 u 4) 1))
(+.f32 (.f32 1 (.f32 (.f32 u 4) 1)) (.f32 1 (.f32 (.f32 u (*.f32 u 8)) 1)))
(+.f32 (.f32 (.f32 (.f32 u 4) 1) 1) (.f32 (.f32 (.f32 u (*.f32 u 8)) 1) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (fma.f32 u 8 4)))) 1)
(/.f32 u (/.f32 1 (fma.f32 u 8 4)))
(/.f32 (-.f32 16 (.f32 (.f32 u u) 64)) (/.f32 (+.f32 4 (*.f32 -8 u)) u))
(/.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) (/.f32 (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u))) u))
(/.f32 (.f32 u (-.f32 16 (.f32 (.f32 u u) 64))) (+.f32 4 (.f32 -8 u)))
(/.f32 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512))) (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (*.f32 32 u))))
(/.f32 (.f32 (-.f32 16 (.f32 (.f32 u u) 64)) u) (+.f32 4 (.f32 -8 u)))
(/.f32 (.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) u) (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (*.f32 32 u))))
(/.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 (pow.f32 (.f32 u 4) 3) (pow.f32 (.f32 u (.f32 u 8)) 3)) (+.f32 (.f32 (.f32 u 4) (.f32 u 4)) (-.f32 (.f32 (.f32 u (.f32 u 8)) (.f32 u (.f32 u 8))) (.f32 (.f32 u 4) (.f32 u (*.f32 u 8))))))
(/.f32 (.f32 u (-.f32 (.f32 (.f32 u u) 64) 16)) (-.f32 (.f32 u 8) 4))
(/.f32 (.f32 u (neg.f32 (-.f32 16 (.f32 (.f32 u u) 64)))) (neg.f32 (+.f32 4 (.f32 -8 u))))
(/.f32 (.f32 u (neg.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)))) (neg.f32 (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (*.f32 32 u)))))
(/.f32 (.f32 1 (.f32 u (-.f32 16 (.f32 (.f32 u u) 64)))) (+.f32 4 (*.f32 -8 u)))
(/.f32 (.f32 1 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512)))) (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u))))
(/.f32 (.f32 1 (.f32 (-.f32 16 (.f32 (.f32 u u) 64)) u)) (+.f32 4 (*.f32 -8 u)))
(/.f32 (.f32 1 (.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) u)) (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u))))
(/.f32 (.f32 1 (-.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 1 (+.f32 (pow.f32 (.f32 u 4) 3) (pow.f32 (.f32 u (.f32 u 8)) 3))) (+.f32 (.f32 (.f32 u 4) (.f32 u 4)) (-.f32 (.f32 (.f32 u (.f32 u 8)) (.f32 u (.f32 u 8))) (.f32 (.f32 u 4) (.f32 u (.f32 u 8))))))
(/.f32 (.f32 (.f32 u (sqrt.f32 (fma.f32 u 8 4))) (sqrt.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)))) (sqrt.f32 (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u)))))
(/.f32 (.f32 (.f32 u (sqrt.f32 (fma.f32 u 8 4))) (sqrt.f32 (-.f32 16 (.f32 (.f32 u u) 64)))) (sqrt.f32 (+.f32 4 (*.f32 -8 u))))
(/.f32 (.f32 (.f32 u (pow.f32 (cbrt.f32 (fma.f32 u 8 4)) 2)) (cbrt.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)))) (cbrt.f32 (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u)))))
(/.f32 (.f32 (.f32 u (pow.f32 (cbrt.f32 (fma.f32 u 8 4)) 2)) (cbrt.f32 (-.f32 16 (.f32 (.f32 u u) 64)))) (cbrt.f32 (+.f32 4 (*.f32 -8 u))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 u u) 64) 16) u) (-.f32 (.f32 u 8) 4))
(/.f32 (.f32 (neg.f32 (-.f32 16 (.f32 (.f32 u u) 64))) u) (neg.f32 (+.f32 4 (.f32 -8 u))))
(/.f32 (.f32 (neg.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512))) u) (neg.f32 (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (*.f32 32 u)))))
(/.f32 (.f32 (.f32 u (-.f32 16 (.f32 (.f32 u u) 64))) 1) (+.f32 4 (*.f32 -8 u)))
(/.f32 (.f32 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512))) 1) (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u))))
(/.f32 (.f32 (.f32 (-.f32 16 (.f32 (.f32 u u) 64)) u) 1) (+.f32 4 (*.f32 -8 u)))
(/.f32 (.f32 (.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) u) 1) (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 u 4) (.f32 u 4)) (.f32 (.f32 u (.f32 u 8)) (.f32 u (.f32 u 8)))) 1) (-.f32 (.f32 u 4) (.f32 u (.f32 u 8))))
(/.f32 (.f32 (+.f32 (pow.f32 (.f32 u 4) 3) (pow.f32 (.f32 u (.f32 u 8)) 3)) 1) (+.f32 (.f32 (.f32 u 4) (.f32 u 4)) (-.f32 (.f32 (.f32 u (.f32 u 8)) (.f32 u (.f32 u 8))) (.f32 (.f32 u 4) (.f32 u (.f32 u 8))))))
(/.f32 (.f32 (sqrt.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512))) (.f32 (sqrt.f32 (fma.f32 u 8 4)) u)) (sqrt.f32 (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u)))))
(/.f32 (.f32 (sqrt.f32 (-.f32 16 (.f32 (.f32 u u) 64))) (.f32 (sqrt.f32 (fma.f32 u 8 4)) u)) (sqrt.f32 (+.f32 4 (*.f32 -8 u))))
(/.f32 (/.f32 (.f32 u (-.f32 16 (.f32 (.f32 u u) 64))) 1) (+.f32 4 (.f32 -8 u)))
(/.f32 (/.f32 (.f32 u (-.f32 16 (.f32 (.f32 u u) 64))) (sqrt.f32 (+.f32 4 (.f32 -8 u)))) (sqrt.f32 (+.f32 4 (*.f32 -8 u))))
(/.f32 (/.f32 (.f32 u (-.f32 16 (.f32 (.f32 u u) 64))) (.f32 (cbrt.f32 (+.f32 4 (.f32 -8 u))) (cbrt.f32 (+.f32 4 (.f32 -8 u))))) (cbrt.f32 (+.f32 4 (*.f32 -8 u))))
(/.f32 (/.f32 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512))) 1) (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (*.f32 32 u))))
(/.f32 (/.f32 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512))) (sqrt.f32 (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u))))) (sqrt.f32 (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u)))))
(/.f32 (/.f32 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512))) (.f32 (cbrt.f32 (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u)))) (cbrt.f32 (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u)))))) (cbrt.f32 (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u)))))
(/.f32 (/.f32 (.f32 (-.f32 16 (.f32 (.f32 u u) 64)) u) 1) (+.f32 4 (.f32 -8 u)))
(/.f32 (/.f32 (.f32 (-.f32 16 (.f32 (.f32 u u) 64)) u) (sqrt.f32 (+.f32 4 (.f32 -8 u)))) (sqrt.f32 (+.f32 4 (*.f32 -8 u))))
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(pow.f32 (sqrt.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))) 2)
(pow.f32 (cbrt.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))) 3)
(pow.f32 (pow.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s))) 3) 1/3)
(sqrt.f32 (pow.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s))) 2))
(log.f32 (exp.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s))))))
(cbrt.f32 (pow.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s))) 3))
(expm1.f32 (log1p.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))))
(exp.f32 (log.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))))
(exp.f32 (.f32 (log.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s)))) 1))
(log1p.f32 (expm1.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 s (pow.f32 u 3)))) 1)
(pow.f32 (*.f32 s (pow.f32 u 3)) 1)
(pow.f32 (*.f32 (sqrt.f32 s) (pow.f32 u 3/2)) 2)
(pow.f32 (*.f32 u (cbrt.f32 s)) 3)
(pow.f32 (pow.f32 (*.f32 s (pow.f32 u 3)) 3) 1/3)
(sqrt.f32 (.f32 (.f32 s s) (pow.f32 u 6)))
(log.f32 (pow.f32 (exp.f32 s) (pow.f32 u 3)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 s (pow.f32 u 3)))))
(cbrt.f32 (pow.f32 (*.f32 s (pow.f32 u 3)) 3))
(cbrt.f32 (*.f32 (pow.f32 s 3) (pow.f32 (pow.f32 u 3) 3)))
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 u 3) 3) (pow.f32 s 3)))
(expm1.f32 (log1p.f32 (*.f32 s (pow.f32 u 3))))
(exp.f32 (log.f32 (*.f32 s (pow.f32 u 3))))
(exp.f32 (.f32 (log.f32 (.f32 s (pow.f32 u 3))) 1))
(log1p.f32 (expm1.f32 (*.f32 s (pow.f32 u 3))))

Outputs
(*.f32 4 u)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(*.f32 8 (pow.f32 u 2))
(.f32 8 (.f32 u u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(*.f32 8 (pow.f32 u 2))
(.f32 8 (.f32 u u))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(.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))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(+.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))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(+.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))))
(.f32 u (.f32 s (fma.f32 u 8 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 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))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(+.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))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(+.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))))
(.f32 u (.f32 s (fma.f32 u 8 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 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))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(+.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))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(+.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))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(.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))))
(.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 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(+.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)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 64/3 (.f32 s (pow.f32 u 3)))
(.f32 s (.f32 64/3 (pow.f32 u 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 (pow.f32 u 3) (.f32 s 64/3) (.f32 s (.f32 8 (.f32 u u))))
(.f32 s (.f32 (.f32 u u) (+.f32 8 (.f32 u 64/3))))
(+.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)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(+.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)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 64/3 (.f32 s (pow.f32 u 3)))
(.f32 s (.f32 64/3 (pow.f32 u 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 (pow.f32 u 3) (.f32 s 64/3) (.f32 s (.f32 8 (.f32 u u))))
(.f32 s (.f32 (.f32 u u) (+.f32 8 (.f32 u 64/3))))
(+.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)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(+.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)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 s (+.f32 (.f32 (+.f32 4 (.f32 8 u)) u) (.f32 64/3 (pow.f32 u 3))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 -1 (.f32 s (+.f32 (.f32 -64/3 (pow.f32 u 3)) (.f32 -1 (.f32 (+.f32 4 (.f32 8 u)) u)))))
(neg.f32 (.f32 s (fma.f32 -64/3 (pow.f32 u 3) (neg.f32 (.f32 u (fma.f32 u 8 4))))))
(.f32 (-.f32 (.f32 (pow.f32 u 3) -64/3) (*.f32 u (fma.f32 u 8 4))) (neg.f32 s))
(.f32 (.f32 u (-.f32 (.f32 (.f32 u u) -64/3) (fma.f32 u 8 4))) (neg.f32 s))
(.f32 -1 (.f32 s (+.f32 (.f32 -64/3 (pow.f32 u 3)) (.f32 -1 (.f32 (+.f32 4 (.f32 8 u)) u)))))
(neg.f32 (.f32 s (fma.f32 -64/3 (pow.f32 u 3) (neg.f32 (.f32 u (fma.f32 u 8 4))))))
(.f32 (-.f32 (.f32 (pow.f32 u 3) -64/3) (*.f32 u (fma.f32 u 8 4))) (neg.f32 s))
(.f32 (.f32 u (-.f32 (.f32 (.f32 u u) -64/3) (fma.f32 u 8 4))) (neg.f32 s))
(.f32 -1 (.f32 s (+.f32 (.f32 -64/3 (pow.f32 u 3)) (.f32 -1 (.f32 (+.f32 4 (.f32 8 u)) u)))))
(neg.f32 (.f32 s (fma.f32 -64/3 (pow.f32 u 3) (neg.f32 (.f32 u (fma.f32 u 8 4))))))
(.f32 (-.f32 (.f32 (pow.f32 u 3) -64/3) (*.f32 u (fma.f32 u 8 4))) (neg.f32 s))
(.f32 (.f32 u (-.f32 (.f32 (.f32 u u) -64/3) (fma.f32 u 8 4))) (neg.f32 s))
(.f32 -1 (.f32 s (+.f32 (.f32 -64/3 (pow.f32 u 3)) (.f32 -1 (.f32 (+.f32 4 (.f32 8 u)) u)))))
(neg.f32 (.f32 s (fma.f32 -64/3 (pow.f32 u 3) (neg.f32 (.f32 u (fma.f32 u 8 4))))))
(.f32 (-.f32 (.f32 (pow.f32 u 3) -64/3) (*.f32 u (fma.f32 u 8 4))) (neg.f32 s))
(.f32 (.f32 u (-.f32 (.f32 (.f32 u u) -64/3) (fma.f32 u 8 4))) (neg.f32 s))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(*.f32 s (pow.f32 u 3))
(+.f32 (.f32 u 4) (.f32 u (*.f32 u 8)))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 u (.f32 u 8)) (*.f32 u 4))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 (.f32 u 4) 1) (.f32 (.f32 u (*.f32 u 8)) 1))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 (.f32 u (.f32 u 8)) 1) (.f32 (*.f32 u 4) 1))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 1 (.f32 (.f32 u 4) 1)) (.f32 1 (.f32 (.f32 u (*.f32 u 8)) 1)))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 (.f32 (.f32 u 4) 1) 1) (.f32 (.f32 (.f32 u (*.f32 u 8)) 1) 1))
(*.f32 u (fma.f32 u 8 4))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (fma.f32 u 8 4)))) 1)
(*.f32 u (fma.f32 u 8 4))
(/.f32 u (/.f32 1 (fma.f32 u 8 4)))
(*.f32 u (fma.f32 u 8 4))
(/.f32 (-.f32 16 (.f32 (.f32 u u) 64)) (/.f32 (+.f32 4 (*.f32 -8 u)) u))
(.f32 (/.f32 (-.f32 16 (.f32 (.f32 u u) 64)) (+.f32 4 (.f32 u -8))) u)
(.f32 u (/.f32 (+.f32 16 (.f32 (*.f32 u u) -64)) (fma.f32 u -8 4)))
(/.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) (/.f32 (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (.f32 32 u))) u))
(.f32 (/.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) (fma.f32 (.f32 u u) 64 (+.f32 16 (.f32 -32 u)))) u)
(.f32 (/.f32 u (+.f32 (fma.f32 (.f32 u u) 64 16) (*.f32 u -32))) (fma.f32 (pow.f32 u 3) 512 64))
(.f32 (/.f32 u (+.f32 16 (.f32 u (+.f32 -32 (*.f32 u 64))))) (fma.f32 (pow.f32 u 3) 512 64))
(/.f32 (.f32 u (-.f32 16 (.f32 (.f32 u u) 64))) (+.f32 4 (.f32 -8 u)))
(.f32 (/.f32 (-.f32 16 (.f32 (.f32 u u) 64)) (+.f32 4 (.f32 u -8))) u)
(.f32 u (/.f32 (+.f32 16 (.f32 (*.f32 u u) -64)) (fma.f32 u -8 4)))
(/.f32 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512))) (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (*.f32 32 u))))
(.f32 (/.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) (fma.f32 (.f32 u u) 64 (+.f32 16 (.f32 -32 u)))) u)
(.f32 (/.f32 u (+.f32 (fma.f32 (.f32 u u) 64 16) (*.f32 u -32))) (fma.f32 (pow.f32 u 3) 512 64))
(.f32 (/.f32 u (+.f32 16 (.f32 u (+.f32 -32 (*.f32 u 64))))) (fma.f32 (pow.f32 u 3) 512 64))
(/.f32 (.f32 (-.f32 16 (.f32 (.f32 u u) 64)) u) (+.f32 4 (.f32 -8 u)))
(.f32 (/.f32 (-.f32 16 (.f32 (.f32 u u) 64)) (+.f32 4 (.f32 u -8))) u)
(.f32 u (/.f32 (+.f32 16 (.f32 (*.f32 u u) -64)) (fma.f32 u -8 4)))
(/.f32 (.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) u) (+.f32 (.f32 (.f32 u u) 64) (-.f32 16 (*.f32 32 u))))
(.f32 (/.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) (fma.f32 (.f32 u u) 64 (+.f32 16 (.f32 -32 u)))) u)
(.f32 (/.f32 u (+.f32 (fma.f32 (.f32 u u) 64 16) (*.f32 u -32))) (fma.f32 (pow.f32 u 3) 512 64))
(.f32 (/.f32 u (+.f32 16 (.f32 u (+.f32 -32 (*.f32 u 64))))) (fma.f32 (pow.f32 u 3) 512 64))
(/.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 (.f32 u (fma.f32 u 8 4)) (.f32 u (-.f32 4 (.f32 u 8)))) (.f32 u (-.f32 4 (.f32 u 8))))
(/.f32 (.f32 (.f32 u u) (+.f32 16 (.f32 (.f32 u u) -64))) (*.f32 u (fma.f32 u -8 4)))
(.f32 (/.f32 (.f32 u u) u) (/.f32 (+.f32 16 (.f32 (.f32 u u) -64)) (fma.f32 u -8 4)))
(/.f32 (+.f32 (pow.f32 (.f32 u 4) 3) (pow.f32 (.f32 u (.f32 u 8)) 3)) (+.f32 (.f32 (.f32 u 4) (.f32 u 4)) (-.f32 (.f32 (.f32 u (.f32 u 8)) (.f32 u (.f32 u 8))) (.f32 (.f32 u 4) (.f32 u (*.f32 u 8))))))
(/.f32 (+.f32 (.f32 (pow.f32 u 3) 64) (pow.f32 (.f32 8 (.f32 u u)) 3)) (+.f32 (.f32 (.f32 u u) 16) (.f32 (.f32 8 (.f32 u u)) (-.f32 (.f32 8 (.f32 u u)) (*.f32 4 u)))))
(/.f32 (.f32 (pow.f32 u 3) (fma.f32 (pow.f32 u 3) 512 64)) (fma.f32 (.f32 8 (.f32 u u)) (.f32 u (fma.f32 u 8 -4)) (.f32 16 (.f32 u u))))
(/.f32 (.f32 (pow.f32 u 3) (fma.f32 (pow.f32 u 3) 512 64)) (.f32 (.f32 u u) (+.f32 (.f32 8 (*.f32 u (fma.f32 u 8 -4))) 16)))
(/.f32 (.f32 u (-.f32 (.f32 (.f32 u u) 64) 16)) (-.f32 (.f32 u 8) 4))
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(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(+.f32 (.f32 (.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) 1) 1) (.f32 u (.f32 (fma.f32 u 8 4) s)))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(-.f32 (exp.f32 (log1p.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)))) (-.f32 1 (.f32 (.f32 64/3 s) (pow.f32 u 3))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s))))) 1)
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(-.f32 (+.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (exp.f32 (log1p.f32 (.f32 u (.f32 (fma.f32 u 8 4) s))))) 1)
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(-.f32 (+.f32 (.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) 1) (exp.f32 (log1p.f32 (.f32 u (*.f32 (fma.f32 u 8 4) s))))) 1)
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s))) 1)
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 1 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 (sqrt.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s)))) (sqrt.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 (cbrt.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s)))) (pow.f32 (cbrt.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))) 2))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(.f32 (pow.f32 (cbrt.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s)))) 2) (cbrt.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 (.f32 64/3 s) (pow.f32 u 3))) (pow.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)) 2)) (-.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 s 64/3) (.f32 s 64/3)) (pow.f32 u 6)) (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 2)) (-.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 u (.f32 s (fma.f32 u 8 4)))))
(/.f32 (-.f32 (.f32 (pow.f32 u 6) (.f32 (.f32 s s) 4096/9)) (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 2)) (-.f32 (.f32 s (.f32 64/3 (pow.f32 u 3))) (.f32 u (*.f32 s (fma.f32 u 8 4)))))
(/.f32 (-.f32 (.f32 (pow.f32 u 6) (.f32 (.f32 s s) 4096/9)) (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 2)) (.f32 s (-.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 u (fma.f32 u 8 4)))))
(/.f32 (+.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)) 3) (pow.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) 3)) (+.f32 (.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 (.f32 64/3 s) (pow.f32 u 3))) (-.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)) 2) (.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s))))))
(/.f32 (+.f32 (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 3) (pow.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) 3)) (+.f32 (.f32 (.f32 (.f32 s 64/3) (.f32 s 64/3)) (pow.f32 u 6)) (-.f32 (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 2) (.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) (.f32 64/3 (*.f32 s (pow.f32 u 3)))))))
(/.f32 (+.f32 (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 3) (.f32 (pow.f32 (.f32 s (pow.f32 u 3)) 3) 262144/27)) (fma.f32 (.f32 (.f32 s s) 4096/9) (pow.f32 u 6) (.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) (-.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) (.f32 s (*.f32 64/3 (pow.f32 u 3)))))))
(/.f32 (+.f32 (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 3) (.f32 (pow.f32 (.f32 s (pow.f32 u 3)) 3) 262144/27)) (fma.f32 (.f32 (.f32 s s) 4096/9) (pow.f32 u 6) (.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) (.f32 s (-.f32 (.f32 u (fma.f32 u 8 4)) (.f32 64/3 (pow.f32 u 3)))))))
(/.f32 (.f32 1 (-.f32 (.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 (.f32 64/3 s) (pow.f32 u 3))) (pow.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)) 2))) (-.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 s 64/3) (.f32 s 64/3)) (pow.f32 u 6)) (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 2)) (-.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 u (.f32 s (fma.f32 u 8 4)))))
(/.f32 (-.f32 (.f32 (pow.f32 u 6) (.f32 (.f32 s s) 4096/9)) (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 2)) (-.f32 (.f32 s (.f32 64/3 (pow.f32 u 3))) (.f32 u (*.f32 s (fma.f32 u 8 4)))))
(/.f32 (-.f32 (.f32 (pow.f32 u 6) (.f32 (.f32 s s) 4096/9)) (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 2)) (.f32 s (-.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 u (fma.f32 u 8 4)))))
(/.f32 (.f32 1 (+.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)) 3) (pow.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) 3))) (+.f32 (.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 (.f32 64/3 s) (pow.f32 u 3))) (-.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)) 2) (.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s))))))
(/.f32 (+.f32 (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 3) (pow.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) 3)) (+.f32 (.f32 (.f32 (.f32 s 64/3) (.f32 s 64/3)) (pow.f32 u 6)) (-.f32 (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 2) (.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) (.f32 64/3 (*.f32 s (pow.f32 u 3)))))))
(/.f32 (+.f32 (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 3) (.f32 (pow.f32 (.f32 s (pow.f32 u 3)) 3) 262144/27)) (fma.f32 (.f32 (.f32 s s) 4096/9) (pow.f32 u 6) (.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) (-.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) (.f32 s (*.f32 64/3 (pow.f32 u 3)))))))
(/.f32 (+.f32 (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 3) (.f32 (pow.f32 (.f32 s (pow.f32 u 3)) 3) 262144/27)) (fma.f32 (.f32 (.f32 s s) 4096/9) (pow.f32 u 6) (.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) (.f32 s (-.f32 (.f32 u (fma.f32 u 8 4)) (.f32 64/3 (pow.f32 u 3)))))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 (.f32 64/3 s) (pow.f32 u 3))) (pow.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)) 2)) 1) (-.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 s 64/3) (.f32 s 64/3)) (pow.f32 u 6)) (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 2)) (-.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 u (.f32 s (fma.f32 u 8 4)))))
(/.f32 (-.f32 (.f32 (pow.f32 u 6) (.f32 (.f32 s s) 4096/9)) (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 2)) (-.f32 (.f32 s (.f32 64/3 (pow.f32 u 3))) (.f32 u (*.f32 s (fma.f32 u 8 4)))))
(/.f32 (-.f32 (.f32 (pow.f32 u 6) (.f32 (.f32 s s) 4096/9)) (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 2)) (.f32 s (-.f32 (.f32 64/3 (pow.f32 u 3)) (.f32 u (fma.f32 u 8 4)))))
(/.f32 (.f32 (+.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)) 3) (pow.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) 3)) 1) (+.f32 (.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 (.f32 64/3 s) (pow.f32 u 3))) (-.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u 8 4) s)) 2) (.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s))))))
(/.f32 (+.f32 (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 3) (pow.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) 3)) (+.f32 (.f32 (.f32 (.f32 s 64/3) (.f32 s 64/3)) (pow.f32 u 6)) (-.f32 (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 2) (.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) (.f32 64/3 (*.f32 s (pow.f32 u 3)))))))
(/.f32 (+.f32 (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 3) (.f32 (pow.f32 (.f32 s (pow.f32 u 3)) 3) 262144/27)) (fma.f32 (.f32 (.f32 s s) 4096/9) (pow.f32 u 6) (.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) (-.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) (.f32 s (*.f32 64/3 (pow.f32 u 3)))))))
(/.f32 (+.f32 (pow.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) 3) (.f32 (pow.f32 (.f32 s (pow.f32 u 3)) 3) 262144/27)) (fma.f32 (.f32 (.f32 s s) 4096/9) (pow.f32 u 6) (.f32 (.f32 u (.f32 s (fma.f32 u 8 4))) (.f32 s (-.f32 (.f32 u (fma.f32 u 8 4)) (.f32 64/3 (pow.f32 u 3)))))))
(pow.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s))) 1)
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(pow.f32 (sqrt.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))) 2)
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(pow.f32 (cbrt.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))) 3)
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(pow.f32 (pow.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s))) 3) 1/3)
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(sqrt.f32 (pow.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s))) 2))
(sqrt.f32 (pow.f32 (fma.f32 u (.f32 s (fma.f32 u 8 4)) (.f32 64/3 (*.f32 s (pow.f32 u 3)))) 2))
(fabs.f32 (.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3)))))
(log.f32 (exp.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s))))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(cbrt.f32 (pow.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s))) 3))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(expm1.f32 (log1p.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(exp.f32 (log.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(exp.f32 (.f32 (log.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (.f32 (fma.f32 u 8 4) s)))) 1))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(log1p.f32 (expm1.f32 (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 u (*.f32 (fma.f32 u 8 4) s)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (*.f32 u u)))))
(.f32 s (fma.f32 u (fma.f32 u 8 4) (.f32 64/3 (pow.f32 u 3))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 s (pow.f32 u 3)))) 1)
(*.f32 s (pow.f32 u 3))
(pow.f32 (*.f32 s (pow.f32 u 3)) 1)
(*.f32 s (pow.f32 u 3))
(pow.f32 (*.f32 (sqrt.f32 s) (pow.f32 u 3/2)) 2)
(pow.f32 (*.f32 u (cbrt.f32 s)) 3)
(*.f32 s (pow.f32 u 3))
(pow.f32 (pow.f32 (*.f32 s (pow.f32 u 3)) 3) 1/3)
(*.f32 s (pow.f32 u 3))
(sqrt.f32 (.f32 (.f32 s s) (pow.f32 u 6)))
(sqrt.f32 (.f32 s (.f32 s (pow.f32 u 6))))
(log.f32 (pow.f32 (exp.f32 s) (pow.f32 u 3)))
(*.f32 s (pow.f32 u 3))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 s (pow.f32 u 3)))))
(*.f32 s (pow.f32 u 3))
(cbrt.f32 (pow.f32 (*.f32 s (pow.f32 u 3)) 3))
(*.f32 s (pow.f32 u 3))
(cbrt.f32 (*.f32 (pow.f32 s 3) (pow.f32 (pow.f32 u 3) 3)))
(*.f32 s (pow.f32 u 3))
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 u 3) 3) (pow.f32 s 3)))
(*.f32 s (pow.f32 u 3))
(expm1.f32 (log1p.f32 (*.f32 s (pow.f32 u 3))))
(*.f32 s (pow.f32 u 3))
(exp.f32 (log.f32 (*.f32 s (pow.f32 u 3))))
(*.f32 s (pow.f32 u 3))
(exp.f32 (.f32 (log.f32 (.f32 s (pow.f32 u 3))) 1))
(*.f32 s (pow.f32 u 3))
(log1p.f32 (expm1.f32 (*.f32 s (pow.f32 u 3))))
(*.f32 s (pow.f32 u 3))

localize61.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(log.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))
✓	0.3b	(.f32 s (exp.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))
✓	1.6b	(exp.f32 (log.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))

Compiler

Compiled 39 to 30 computations (23.1% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u	@	-inf	(log.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))
1.0ms	u	@	inf	(log.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))
0.0ms	u	@	0	(log.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))
0.0ms	u	@	inf	(exp.f32 (log.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.0ms	u	@	-inf	(exp.f32 (log.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`add-sqr-sqrt`
1764×	`*-un-lft-identity`
1638×	`add-cube-cbrt`
1616×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	227	43
2	2534	43

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

simplify113.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1080×	`distribute-lft-in`
1000×	`distribute-rgt-in`
994×	`associate-/l*`
822×	`*-commutative`
802×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	3725
1	772	3453
2	2986	3441

Stop Event

1×	node limit

Counts

113 → 205

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 -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)))))
(+.f32 (log.f32 u) (log.f32 4))
(+.f32 (*.f32 2 u) (+.f32 (log.f32 u) (log.f32 4)))
(+.f32 (.f32 2 u) (+.f32 (log.f32 u) (+.f32 (log.f32 4) (.f32 10/3 (pow.f32 u 2)))))
(+.f32 (.f32 2 u) (+.f32 (log.f32 u) (+.f32 (log.f32 4) (+.f32 (.f32 10/3 (pow.f32 u 2)) (*.f32 8 (pow.f32 u 3))))))
(log.f32 (neg.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(-.f32 (log.f32 (neg.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) u))))
(-.f32 (+.f32 (log.f32 (neg.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 -1/2 (/.f32 (+.f32 (.f32 1/16 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2)))) (pow.f32 u 2)))) (.f32 1/4 (/.f32 1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) u))))
(-.f32 (+.f32 (log.f32 (neg.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 3/64 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 3))) (.f32 1/32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))))) (pow.f32 u 3))) (.f32 -1/2 (/.f32 (+.f32 (.f32 1/16 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2)))) (pow.f32 u 2))))) (.f32 1/4 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) u))))
(log.f32 (neg.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(-.f32 (log.f32 (neg.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/4 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) u))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/16 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)))) (pow.f32 u 2))) (log.f32 (neg.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))) (.f32 1/4 (/.f32 1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) u))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/16 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)))) (pow.f32 u 2))) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 3))) (+.f32 (.f32 1/32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 3/64 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2))))) (pow.f32 u 3))) (log.f32 (neg.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))))) (.f32 1/4 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) u))))
(+.f32 0 (log1p.f32 (*.f32 u -4)))
(-.f32 0 (log1p.f32 (*.f32 u -4)))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 u -4)))) 1)
(.f32 (log1p.f32 (.f32 u -4)) 1)
(.f32 (log1p.f32 (.f32 u -4)) -1)
(.f32 1 (log1p.f32 (.f32 u -4)))
(.f32 (sqrt.f32 (log1p.f32 (.f32 u -4))) (sqrt.f32 (log1p.f32 (*.f32 u -4))))
(.f32 (sqrt.f32 (log1p.f32 (.f32 u -4))) (neg.f32 (sqrt.f32 (log1p.f32 (*.f32 u -4)))))
(.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (*.f32 u -4))))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (neg.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))))
(.f32 -1 (log1p.f32 (.f32 u -4)))
(.f32 (.f32 -1 (sqrt.f32 (log1p.f32 (.f32 u -4)))) (sqrt.f32 (log1p.f32 (.f32 u -4))))
(.f32 (.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2)) (cbrt.f32 (log1p.f32 (.f32 u -4))))
(.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u -4)))) (sqrt.f32 (log1p.f32 (*.f32 u -4))))
(.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2)) (cbrt.f32 (log1p.f32 (*.f32 u -4))))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 u -4)) 2)) (log1p.f32 (.f32 u -4)))
(/.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 (log1p.f32 (*.f32 u -4)) 1)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 u -4))) 2)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 3) 1/3)
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 (.f32 u -4))))) (sqrt.f32 (log.f32 (log1p.f32 (.f32 u -4)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (.f32 u -4)))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (.f32 u -4)))))
(pow.f32 (exp.f32 1) (log.f32 (log1p.f32 (*.f32 u -4))))
(neg.f32 (log1p.f32 (*.f32 u -4)))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2))
(log.f32 (+.f32 (*.f32 u -4) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 u -4))))
(log1p.f32 (*.f32 u -4))
(-.f32 (exp.f32 (log1p.f32 (.f32 (log1p.f32 (.f32 u -4)) s))) 1)
(pow.f32 (.f32 (log1p.f32 (.f32 u -4)) s) 1)
(pow.f32 (sqrt.f32 (.f32 (log1p.f32 (.f32 u -4)) s)) 2)
(pow.f32 (cbrt.f32 (.f32 (log1p.f32 (.f32 u -4)) s)) 3)
(pow.f32 (pow.f32 (.f32 (log1p.f32 (.f32 u -4)) s) 3) 1/3)
(neg.f32 (.f32 (log1p.f32 (.f32 u -4)) s))
(sqrt.f32 (pow.f32 (.f32 (log1p.f32 (.f32 u -4)) s) 2))
(log.f32 (pow.f32 (+.f32 (*.f32 u -4) 1) s))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (log1p.f32 (.f32 u -4)) s))))
(cbrt.f32 (pow.f32 (.f32 (log1p.f32 (.f32 u -4)) s) 3))
(expm1.f32 (log1p.f32 (.f32 (log1p.f32 (.f32 u -4)) s)))
(exp.f32 (log.f32 (.f32 (log1p.f32 (.f32 u -4)) s)))
(exp.f32 (.f32 (log.f32 (.f32 (log1p.f32 (*.f32 u -4)) s)) 1))
(log1p.f32 (expm1.f32 (.f32 (log1p.f32 (.f32 u -4)) s)))
(+.f32 0 (log.f32 (log1p.f32 (*.f32 u -4))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2)) (log.f32 (cbrt.f32 (log1p.f32 (.f32 u -4)))))
(+.f32 (log.f32 -1) (log.f32 (log1p.f32 (*.f32 u -4))))
(+.f32 (log.f32 (sqrt.f32 (log1p.f32 (.f32 u -4)))) (log.f32 (sqrt.f32 (log1p.f32 (.f32 u -4)))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (log1p.f32 (*.f32 u -4))))) 1)
(.f32 (log.f32 (log1p.f32 (.f32 u -4))) 1)
(.f32 1 (log.f32 (log1p.f32 (.f32 u -4))))
(.f32 (sqrt.f32 (log.f32 (log1p.f32 (.f32 u -4)))) (sqrt.f32 (log.f32 (log1p.f32 (*.f32 u -4)))))
(.f32 (cbrt.f32 (log.f32 (log1p.f32 (.f32 u -4)))) (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (*.f32 u -4)))) 2))
(.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (.f32 u -4)))) 2) (cbrt.f32 (log.f32 (log1p.f32 (*.f32 u -4)))))
(pow.f32 (log.f32 (log1p.f32 (*.f32 u -4))) 1)
(pow.f32 (sqrt.f32 (log.f32 (log1p.f32 (*.f32 u -4)))) 2)
(pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (*.f32 u -4)))) 3)
(pow.f32 (pow.f32 (log.f32 (log1p.f32 (*.f32 u -4))) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (log1p.f32 (*.f32 u -4))) 2))
(cbrt.f32 (pow.f32 (log.f32 (log1p.f32 (*.f32 u -4))) 3))
(expm1.f32 (log1p.f32 (log.f32 (log1p.f32 (*.f32 u -4)))))
(exp.f32 (log.f32 (log.f32 (log1p.f32 (*.f32 u -4)))))
(exp.f32 (.f32 (log.f32 (log.f32 (log1p.f32 (.f32 u -4)))) 1))
(log1p.f32 (-.f32 (log1p.f32 (*.f32 u -4)) 1))

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)))
(fma.f32 4 u (.f32 u (.f32 u 8)))
(+.f32 (.f32 8 (pow.f32 u 2)) (+.f32 (.f32 64/3 (pow.f32 u 3)) (*.f32 4 u)))
(fma.f32 8 (.f32 u u) (fma.f32 64/3 (pow.f32 u 3) (.f32 4 u)))
(fma.f32 8 (.f32 u u) (fma.f32 4 u (.f32 64/3 (pow.f32 u 3))))
(+.f32 (.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)))))
(.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)))
(-.f32 (neg.f32 (log.f32 -4)) (log.f32 u))
(-.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 -4) (log.f32 u)))
(+.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 (neg.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (/.f32 1/4 u)) (/.f32 1/32 (*.f32 u u)))
(+.f32 (-.f32 (/.f32 1/4 u) (+.f32 (log.f32 -4) (log.f32 u))) (/.f32 1/32 (*.f32 u u)))
(-.f32 (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))) (+.f32 (log.f32 -4) (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 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 -4) (log.f32 u))) (/.f32 1/32 (*.f32 u u))))
(+.f32 (-.f32 (/.f32 1/4 u) (+.f32 (log.f32 -4) (log.f32 u))) (+.f32 (/.f32 1/32 (*.f32 u u)) (/.f32 1/192 (pow.f32 u 3))))
(.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)))
(-.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 (/.f32 -1 u)) (log.f32 4)))
(+.f32 (-.f32 (/.f32 1/4 u) (log.f32 4)) (log.f32 (/.f32 -1 u)))
(+.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 (/.f32 -1 u)) (log.f32 4))))
(+.f32 (/.f32 1/4 u) (-.f32 (/.f32 1/32 (*.f32 u u)) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 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 1/4 u) (+.f32 (+.f32 (/.f32 1/192 (pow.f32 u 3)) (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4))) (/.f32 1/32 (*.f32 u u))))
(-.f32 (/.f32 1/192 (pow.f32 u 3)) (-.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.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)))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 u (.f32 u 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 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 8 (.f32 u (*.f32 u 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 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 (.f32 u u) s) (.f32 64 (.f32 (pow.f32 u 4) s)))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 u (.f32 u s)) (.f32 64 (.f32 (pow.f32 u 4) s)))))
(.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 -4) (log.f32 u)) (neg.f32 s))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))
(fma.f32 -1 (.f32 (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 -4) (log.f32 u)) s))
(fma.f32 (neg.f32 s) (+.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 (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 -4) (log.f32 u)) s)))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 (neg.f32 s) (+.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 1/192 (/.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 -4) (log.f32 u)) s))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (-.f32 (fma.f32 1/4 (/.f32 s u) (.f32 (/.f32 1/192 (pow.f32 u 3)) s)) (*.f32 (+.f32 (log.f32 -4) (log.f32 u)) 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 (/.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)))
(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)) (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 (.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)))))
(+.f32 (fma.f32 1/4 (/.f32 s u) (/.f32 (.f32 1/192 s) (pow.f32 u 3))) (fma.f32 1/32 (/.f32 s (.f32 u u)) (*.f32 (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) s)))
(+.f32 (fma.f32 1/4 (/.f32 s u) (.f32 (/.f32 1/192 (pow.f32 u 3)) s)) (fma.f32 1/32 (/.f32 s (.f32 u u)) (*.f32 (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) s)))
(+.f32 (log.f32 u) (log.f32 4))
(+.f32 (log.f32 4) (log.f32 u))
(+.f32 (*.f32 2 u) (+.f32 (log.f32 u) (log.f32 4)))
(fma.f32 2 u (+.f32 (log.f32 4) (log.f32 u)))
(+.f32 (log.f32 4) (fma.f32 u 2 (log.f32 u)))
(+.f32 (.f32 2 u) (+.f32 (log.f32 u) (+.f32 (log.f32 4) (.f32 10/3 (pow.f32 u 2)))))
(fma.f32 2 u (+.f32 (log.f32 u) (+.f32 (log.f32 4) (.f32 (.f32 u u) 10/3))))
(+.f32 (fma.f32 (*.f32 u u) 10/3 (log.f32 4)) (fma.f32 u 2 (log.f32 u)))
(+.f32 (.f32 2 u) (+.f32 (log.f32 u) (+.f32 (log.f32 4) (+.f32 (.f32 10/3 (pow.f32 u 2)) (*.f32 8 (pow.f32 u 3))))))
(fma.f32 2 u (+.f32 (log.f32 u) (+.f32 (log.f32 4) (fma.f32 10/3 (.f32 u u) (.f32 8 (pow.f32 u 3))))))
(+.f32 (+.f32 (log.f32 4) (fma.f32 u 2 (log.f32 u))) (fma.f32 8 (pow.f32 u 3) (.f32 u (.f32 u 10/3))))
(+.f32 (+.f32 (fma.f32 (.f32 u u) 10/3 (log.f32 4)) (fma.f32 u 2 (log.f32 u))) (.f32 8 (pow.f32 u 3)))
(log.f32 (neg.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(log.f32 (neg.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))))
(log.f32 (-.f32 (neg.f32 (log.f32 -4)) (log.f32 u)))
(log.f32 (-.f32 (neg.f32 (log.f32 u)) (log.f32 -4)))
(-.f32 (log.f32 (neg.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) u))))
(-.f32 (log.f32 (neg.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (/.f32 1/4 (*.f32 u (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))))
(+.f32 (log.f32 (-.f32 (neg.f32 (log.f32 -4)) (log.f32 u))) (/.f32 -1/4 (*.f32 u (+.f32 (log.f32 -4) (log.f32 u)))))
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(log.f32 (log1p.f32 (*.f32 u -4)))
(expm1.f32 (log1p.f32 (log.f32 (log1p.f32 (*.f32 u -4)))))
(log.f32 (log1p.f32 (*.f32 u -4)))
(exp.f32 (log.f32 (log.f32 (log1p.f32 (*.f32 u -4)))))
(log.f32 (log1p.f32 (*.f32 u -4)))
(exp.f32 (.f32 (log.f32 (log.f32 (log1p.f32 (.f32 u -4)))) 1))
(log.f32 (log1p.f32 (*.f32 u -4)))
(log1p.f32 (-.f32 (log1p.f32 (*.f32 u -4)) 1))
(log1p.f32 (+.f32 (log1p.f32 (*.f32 u -4)) -1))
(log1p.f32 (+.f32 -1 (log1p.f32 (*.f32 u -4))))

eval907.0ms (6.9%)

Compiler: Compiled 33048 to 23754 computations (28.1% saved)

prune358.0ms (2.7%)

Pruning

37 alts after pruning (31 fresh and 6 done)

	Pruned	Kept	Total
New	1183	22	1205
Fresh	6	9	15
Picked	0	1	1
Done	1	5	6
Total	1190	37	1227

Error

Counts

1227 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	4.4b	(pow.f32 (cbrt.f32 (.f32 (.f32 u s) (+.f32 (*.f32 u 8) 4))) 3)
	0.7b	(pow.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 3)
	8.6b	(pow.f32 (cbrt.f32 (.f32 4 (.f32 u s))) 3)
	0.5b	(/.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 3) (/.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 2) s))
▶	13.7b	(/.f32 (/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) u) s) (-.f32 (.f32 u 8) 4))
	13.6b	(/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) u) (.f32 s (+.f32 (*.f32 u 8) -4)))
	12.3b	(/.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) (/.f32 (.f32 s (+.f32 (.f32 u 8) -4)) u))
	4.1b	(/.f32 u (/.f32 1 (.f32 s (+.f32 (.f32 u 8) 4))))
	0.4b	(/.f32 s (/.f32 1 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (*.f32 u -16))))))
	2.7b	(+.f32 (+.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 (.f32 u s) (.f32 u 8))) (.f32 (*.f32 u s) 4))
▶	0.3b	(+.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u (.f32 u -16)))) s) (.f32 (log1p.f32 (*.f32 4 u)) s))
	4.0b	(+.f32 (.f32 u (.f32 u (.f32 s 8))) (.f32 u (*.f32 s 4)))
	12.0b	(.f32 (/.f32 (.f32 s (.f32 s (+.f32 16 (.f32 -64 (.f32 u u))))) s) (/.f32 u (-.f32 4 (.f32 u 8))))
▶	4.1b	(.f32 (.f32 (/.f32 s 1) (/.f32 (+.f32 16 (.f32 (.f32 -64 u) u)) (-.f32 4 (*.f32 u 8)))) u)
	2.7b	(.f32 (.f32 u (-.f32 (.f32 (.f32 u u) -64/3) (fma.f32 u 8 4))) (neg.f32 s))
▶	8.4b	(.f32 (.f32 4 s) u)
✓	0.3b	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
	12.3b	(.f32 u (/.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) s) (-.f32 (.f32 u 8) 4)))
	12.3b	(.f32 u (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) (.f32 s (+.f32 (*.f32 u 8) -4))))
	4.1b	(.f32 u (/.f32 1 (/.f32 1 (.f32 s (+.f32 (*.f32 u 8) 4)))))
✓	4.0b	(.f32 u (+.f32 (.f32 s (.f32 8 u)) (.f32 4 s)))
	12.3b	(.f32 u (.f32 (/.f32 (.f32 s s) s) (/.f32 (+.f32 16 (.f32 -64 (.f32 u u))) (-.f32 4 (.f32 u 8)))))
	12.3b	(.f32 u (.f32 (/.f32 1 (.f32 s (+.f32 (.f32 u 8) -4))) (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16))))
	4.1b	(.f32 u (.f32 s (+.f32 (*.f32 u 8) 4)))
	0.5b	(.f32 s (pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 2))
	2.9b	(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (.f32 u (.f32 u -16))))
✓	0.3b	(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
	4.0b	(.f32 s (+.f32 (.f32 4 u) (.f32 8 (.f32 u u))))
	4.1b	(.f32 s (.f32 (+.f32 4 (*.f32 8 u)) u))
▶	12.4b	(.f32 s (.f32 (log.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4)))) -2))
	13.3b	(.f32 s (.f32 2 (log.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2))))
✓	12.4b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
	12.5b	(.f32 s (log.f32 (.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 u -4) 3))) (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u)))))))
✓	1.4b	(.f32 s (exp.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))
	8.6b	(.f32 4 (pow.f32 (cbrt.f32 (.f32 u s)) 3))
✓	8.5b	(.f32 4 (.f32 u s))
	2.8b	(exp.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))

Compiler

Compiled 1111 to 825 computations (25.7% saved)

localize107.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 65 to 44 computations (32.3% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite136.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`distribute-rgt-in`
620×	`distribute-lft-in`
552×	`associate-*r/`
458×	`associate-*l/`
336×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	87
1	338	79
2	4253	79

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

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

Outputs

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

simplify176.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

912×	`associate-r`
812×	`associate-l`
796×	`fma-def`
738×	`associate-/l*`
716×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	541	16403
1	1641	16009
2	7947	16009

Stop Event

1×	node limit

Counts

233 → 332

Calls

Call 1

Inputs
(.f32 4 (.f32 s u))
(+.f32 (.f32 (+.f32 (.f32 -8 s) (.f32 16 s)) (pow.f32 u 2)) (.f32 4 (*.f32 s u)))
(+.f32 (.f32 (+.f32 (.f32 -8 s) (.f32 16 s)) (pow.f32 u 2)) (+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 4 (*.f32 s u))))
(+.f32 (.f32 (pow.f32 u 4) (+.f32 (.f32 -64 s) (.f32 128 s))) (+.f32 (.f32 (+.f32 (.f32 -8 s) (.f32 16 s)) (pow.f32 u 2)) (+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 4 (.f32 s u)))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u)))))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 1/16 (/.f32 s (pow.f32 u 2)))))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (*.f32 1/16 (/.f32 s (pow.f32 u 2))))))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 4 (.f32 s u))
(+.f32 (.f32 4 (.f32 s u)) (.f32 -8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 -8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 -64 (.f32 s (pow.f32 u 4))) (.f32 -8 (.f32 s (pow.f32 u 2))))))
(.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (*.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (*.f32 1/4 (/.f32 s u)))))
(.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))
(+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))
(+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))))
(+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))))
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 16 (.f32 s (pow.f32 u 2)))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (.f32 128 (.f32 s (pow.f32 u 4))))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 4096/3 (.f32 s (pow.f32 u 6))) (.f32 128 (.f32 s (pow.f32 u 4)))))
(+.f32 (.f32 16384 (.f32 s (pow.f32 u 8))) (+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 4096/3 (.f32 s (pow.f32 u 6))) (.f32 128 (.f32 s (pow.f32 u 4))))))
(.f32 -1 (.f32 s (+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u))))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (.f32 1/16 (/.f32 s (pow.f32 u 2))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (*.f32 1/512 (/.f32 s (pow.f32 u 4)))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/512 (/.f32 s (pow.f32 u 4))) (.f32 1/12288 (/.f32 s (pow.f32 u 6))))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (.f32 1/16 (/.f32 s (pow.f32 u 2))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (*.f32 1/512 (/.f32 s (pow.f32 u 4)))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/512 (/.f32 s (pow.f32 u 4))) (.f32 1/12288 (/.f32 s (pow.f32 u 6))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
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(fma.f32 (sqrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) (sqrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))
(fma.f32 (sqrt.f32 (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s)) (sqrt.f32 (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s)) (.f32 s (log1p.f32 (.f32 u 4))))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) 2) (cbrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s)) 2) (cbrt.f32 (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s)) (.f32 s (log1p.f32 (.f32 u 4))))
(-.f32 (exp.f32 (log1p.f32 (.f32 s (log1p.f32 (.f32 u 4))))) 1)
(pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 1)
(pow.f32 (sqrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) 2)
(pow.f32 (cbrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) 3)
(pow.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2))
(log.f32 (pow.f32 (+.f32 (*.f32 u 4) 1) s))
(log.f32 (+.f32 1 (expm1.f32 (.f32 s (log1p.f32 (.f32 u 4))))))
(cbrt.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3))
(expm1.f32 (log1p.f32 (.f32 s (log1p.f32 (.f32 u 4)))))
(exp.f32 (log.f32 (.f32 s (log1p.f32 (.f32 u 4)))))
(exp.f32 (.f32 (log.f32 (.f32 s (log1p.f32 (*.f32 u 4)))) 1))
(log1p.f32 (expm1.f32 (.f32 s (log1p.f32 (.f32 u 4)))))
(+.f32 0 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))
(+.f32 (-.f32 0 (exp.f32 (log1p.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s)))) 1)
(+.f32 (.f32 s 0) (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s))
(+.f32 (.f32 (.f32 s -1) 0) (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))
(+.f32 (.f32 0 s) (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s))
(+.f32 (.f32 0 (.f32 s -1)) (.f32 (log1p.f32 (.f32 u (.f32 u -16))) (.f32 s -1)))
(-.f32 0 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))
(-.f32 (exp.f32 (log1p.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))) 1)
(/.f32 (.f32 s (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2))) (log1p.f32 (.f32 u (*.f32 u -16))))
(/.f32 (.f32 s (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3))) (+.f32 (pow.f32 (log1p.f32 (.f32 u (*.f32 u -16))) 2) 0))
(/.f32 (.f32 (.f32 s -1) (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2))) (log1p.f32 (.f32 u (.f32 u -16))))
(/.f32 (.f32 (.f32 s -1) (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3))) (+.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2) 0))
(/.f32 (.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2)) s) (log1p.f32 (.f32 u (*.f32 u -16))))
(/.f32 (.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3)) s) (+.f32 (pow.f32 (log1p.f32 (.f32 u (*.f32 u -16))) 2) 0))
(/.f32 (.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2)) (neg.f32 s)) (log1p.f32 (.f32 u (*.f32 u -16))))
(/.f32 (.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3)) (neg.f32 s)) (+.f32 (pow.f32 (log1p.f32 (.f32 u (*.f32 u -16))) 2) 0))
(pow.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s) 1)
(pow.f32 (sqrt.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s)) 2)
(pow.f32 (cbrt.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s)) 3)
(pow.f32 (pow.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s) 3) 1/3)
(neg.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))
(sqrt.f32 (pow.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s) 2))
(log.f32 (pow.f32 (+.f32 (.f32 u (.f32 u -16)) 1) s))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))))
(cbrt.f32 (pow.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s) 3))
(expm1.f32 (log1p.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s)))
(exp.f32 (log.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s)))
(exp.f32 (.f32 (log.f32 (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s)) 1))
(log1p.f32 (expm1.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s)))

Outputs
(.f32 4 (.f32 s u))
(+.f32 (.f32 (+.f32 (.f32 -8 s) (.f32 16 s)) (pow.f32 u 2)) (.f32 4 (*.f32 s u)))
(fma.f32 (.f32 s 8) (.f32 u u) (.f32 4 (.f32 s u)))
(fma.f32 4 (.f32 s u) (.f32 s (.f32 8 (.f32 u u))))
(+.f32 (.f32 (+.f32 (.f32 -8 s) (.f32 16 s)) (pow.f32 u 2)) (+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 4 (*.f32 s u))))
(fma.f32 (.f32 s 8) (.f32 u u) (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 4 (*.f32 s u))))
(fma.f32 (.f32 s 8) (.f32 u u) (fma.f32 4 (.f32 s u) (.f32 s (*.f32 (pow.f32 u 3) 64/3))))
(+.f32 (.f32 (pow.f32 u 4) (+.f32 (.f32 -64 s) (.f32 128 s))) (+.f32 (.f32 (+.f32 (.f32 -8 s) (.f32 16 s)) (pow.f32 u 2)) (+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 4 (.f32 s u)))))
(fma.f32 (pow.f32 u 4) (.f32 s 64) (fma.f32 (.f32 s 8) (.f32 u u) (fma.f32 64/3 (.f32 s (pow.f32 u 3)) (.f32 4 (.f32 s u)))))
(fma.f32 (pow.f32 u 4) (.f32 s 64) (fma.f32 (.f32 s 8) (.f32 u u) (fma.f32 4 (.f32 s u) (.f32 s (.f32 (pow.f32 u 3) 64/3)))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u)))))))
(fma.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (.f32 (neg.f32 s) (+.f32 (log.f32 -16) (.f32 (neg.f32 (log.f32 u)) -2))))
(-.f32 (.f32 s (+.f32 (log.f32 4) (log.f32 u))) (.f32 s (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (.f32 1/4 (/.f32 s u))))
(fma.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (fma.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 (neg.f32 (log.f32 u)) -2))) (/.f32 (*.f32 1/4 s) u)))
(fma.f32 s (+.f32 (log.f32 4) (log.f32 u)) (fma.f32 1/4 (/.f32 s u) (*.f32 (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16)) (neg.f32 s))))
(-.f32 (fma.f32 s (+.f32 (log.f32 4) (log.f32 u)) (.f32 1/4 (/.f32 s u))) (.f32 s (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 1/16 (/.f32 s (pow.f32 u 2)))))))
(fma.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (fma.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 (neg.f32 (log.f32 u)) -2))) (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/4 (/.f32 s u) (/.f32 (.f32 1/16 s) (*.f32 u u))))))
(fma.f32 s (+.f32 (log.f32 4) (log.f32 u)) (fma.f32 (neg.f32 s) (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16)) (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/4 (/.f32 s u) (.f32 (/.f32 1/16 u) (/.f32 s u))))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (*.f32 1/16 (/.f32 s (pow.f32 u 2))))))))
(fma.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (fma.f32 -1 (.f32 s (+.f32 (log.f32 -16) (.f32 (neg.f32 (log.f32 u)) -2))) (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 1/4 (/.f32 s u) (/.f32 (.f32 1/16 s) (*.f32 u u)))))))
(fma.f32 s (+.f32 (log.f32 4) (log.f32 u)) (-.f32 (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 1/4 (/.f32 s u) (.f32 (/.f32 1/16 u) (/.f32 s u))))) (*.f32 s (fma.f32 (neg.f32 (log.f32 u)) -2 (log.f32 -16)))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))
(fma.f32 -1 (.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))) (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4))))
(-.f32 (.f32 s (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u)))) (.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))))
(fma.f32 -1 (.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))) (fma.f32 1/4 (/.f32 s u) (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4)))))
(-.f32 (fma.f32 s (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (.f32 1/4 (/.f32 s u))) (.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))))))
(fma.f32 -1 (.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))) (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/4 (/.f32 s u) (fma.f32 1/16 (/.f32 s (.f32 u u)) (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4)))))))
(-.f32 (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/4 (/.f32 s u) (fma.f32 s (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (.f32 (/.f32 1/16 u) (/.f32 s u))))) (*.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (+.f32 (.f32 1/16 (/.f32 s (pow.f32 u 2))) (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))))))
(fma.f32 -1 (.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))) (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 1/4 (/.f32 s u) (fma.f32 1/16 (/.f32 s (.f32 u u)) (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4))))))))
(-.f32 (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 1/4 (/.f32 s u) (fma.f32 s (-.f32 (log.f32 -4) (log.f32 (/.f32 -1 u))) (.f32 (/.f32 1/16 u) (/.f32 s u)))))) (*.f32 s (fma.f32 -2 (log.f32 (/.f32 -1 u)) (log.f32 -16))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))) s)
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 (-.f32 (log1p.f32 (.f32 u (.f32 u -16))) (log1p.f32 (.f32 4 u))) (neg.f32 s))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 (-.f32 (log1p.f32 (.f32 u (.f32 u -16))) (log1p.f32 (.f32 4 u))) (neg.f32 s))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 (-.f32 (log1p.f32 (.f32 u (.f32 u -16))) (log1p.f32 (.f32 4 u))) (neg.f32 s))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2)))))))
(.f32 (-.f32 (log1p.f32 (.f32 u (.f32 u -16))) (log1p.f32 (.f32 4 u))) (neg.f32 s))
(.f32 4 (.f32 s u))
(+.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 4 (.f32 s u) (.f32 s (.f32 -8 (.f32 u u))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 -8 (.f32 s (pow.f32 u 2)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 s u) (.f32 -8 (.f32 s (*.f32 u u)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 s u) (.f32 s (.f32 -8 (*.f32 u u)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 -64 (.f32 s (pow.f32 u 4))) (.f32 -8 (.f32 s (pow.f32 u 2))))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 s u) (fma.f32 -64 (.f32 s (pow.f32 u 4)) (.f32 -8 (.f32 s (.f32 u u))))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 s u) (fma.f32 (.f32 s -8) (.f32 u u) (.f32 s (.f32 (pow.f32 u 4) -64)))))
(.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)))
(*.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)))
(*.f32 s (+.f32 (log.f32 4) (log.f32 u)))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (*.f32 1/4 (/.f32 s u)))
(fma.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (/.f32 (*.f32 1/4 s) u))
(fma.f32 s (+.f32 (log.f32 4) (log.f32 u)) (*.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (.f32 1/4 (/.f32 s u))))
(fma.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (fma.f32 -1/32 (/.f32 s (.f32 u u)) (/.f32 (.f32 1/4 s) u)))
(fma.f32 s (+.f32 (log.f32 4) (log.f32 u)) (fma.f32 1/4 (/.f32 s u) (.f32 -1/32 (/.f32 s (.f32 u u)))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 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 1/4 (/.f32 s u)))))
(fma.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 4)) (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (/.f32 (.f32 1/4 s) u))))
(fma.f32 s (+.f32 (log.f32 4) (log.f32 u)) (fma.f32 -1/32 (/.f32 s (.f32 u u)) (fma.f32 1/4 (/.f32 s u) (.f32 1/192 (/.f32 s (pow.f32 u 3))))))
(.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))
(*.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 -4)))
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(.f32 (/.f32 (.f32 s s) s) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 4 u)) 2) (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2)) (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16))))))
(.f32 (/.f32 s 1) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 4 u)) 2) (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2)) (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (*.f32 u -16))))))
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(.f32 (/.f32 (.f32 s s) s) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 4 u)) 2) (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2)) (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16))))))
(.f32 (/.f32 s 1) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 4 u)) 2) (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2)) (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (*.f32 u -16))))))
(/.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (pow.f32 (log1p.f32 (.f32 u 4)) 2) (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2))) (+.f32 (pow.f32 (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3))) (/.f32 1 (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s) (.f32 s (-.f32 (log1p.f32 (.f32 u (.f32 u -16))) (log1p.f32 (.f32 u 4))))))))
(.f32 (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 4 u))) 2) (.f32 (log1p.f32 (.f32 u (.f32 u -16))) (.f32 s (.f32 s (-.f32 (log1p.f32 (.f32 u (.f32 u -16))) (log1p.f32 (.f32 4 u))))))) (/.f32 (.f32 s (.f32 s (-.f32 (pow.f32 (log1p.f32 (.f32 4 u)) 2) (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2)))) (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u (.f32 u -16)))) 3) (pow.f32 (.f32 s (log1p.f32 (*.f32 4 u))) 3))))
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(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
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(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
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(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
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(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
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(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(fma.f32 (log1p.f32 (.f32 u 4)) s (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s))
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(fma.f32 1 (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s) (.f32 s (log1p.f32 (*.f32 u 4))))
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(fma.f32 1 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(fma.f32 (sqrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) (sqrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(fma.f32 (sqrt.f32 (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s)) (sqrt.f32 (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s)) (.f32 s (log1p.f32 (.f32 u 4))))
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) 2) (cbrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s)) 2) (cbrt.f32 (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s)) (.f32 s (log1p.f32 (.f32 u 4))))
(.f32 s (+.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 s (log1p.f32 (.f32 u 4))))) 1)
(.f32 s (log1p.f32 (.f32 4 u)))
(pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 1)
(.f32 s (log1p.f32 (.f32 4 u)))
(pow.f32 (sqrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) 2)
(.f32 s (log1p.f32 (.f32 4 u)))
(pow.f32 (cbrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) 3)
(.f32 s (log1p.f32 (.f32 4 u)))
(pow.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) 1/3)
(.f32 s (log1p.f32 (.f32 4 u)))
(sqrt.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2))
(sqrt.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 4 u))) 2))
(fabs.f32 (.f32 s (log1p.f32 (.f32 4 u))))
(log.f32 (pow.f32 (+.f32 (*.f32 u 4) 1) s))
(.f32 s (log1p.f32 (.f32 4 u)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 s (log1p.f32 (.f32 u 4))))))
(.f32 s (log1p.f32 (.f32 4 u)))
(cbrt.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3))
(.f32 s (log1p.f32 (.f32 4 u)))
(expm1.f32 (log1p.f32 (.f32 s (log1p.f32 (.f32 u 4)))))
(.f32 s (log1p.f32 (.f32 4 u)))
(exp.f32 (log.f32 (.f32 s (log1p.f32 (.f32 u 4)))))
(.f32 s (log1p.f32 (.f32 4 u)))
(exp.f32 (.f32 (log.f32 (.f32 s (log1p.f32 (*.f32 u 4)))) 1))
(.f32 s (log1p.f32 (.f32 4 u)))
(log1p.f32 (expm1.f32 (.f32 s (log1p.f32 (.f32 u 4)))))
(.f32 s (log1p.f32 (.f32 4 u)))
(+.f32 0 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(+.f32 (-.f32 0 (exp.f32 (log1p.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s)))) 1)
(.f32 (log1p.f32 (.f32 u (*.f32 u -16))) (neg.f32 s))
(+.f32 (.f32 s 0) (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(+.f32 (.f32 (.f32 s -1) 0) (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(+.f32 (.f32 0 s) (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(+.f32 (.f32 0 (.f32 s -1)) (.f32 (log1p.f32 (.f32 u (.f32 u -16))) (.f32 s -1)))
(.f32 (log1p.f32 (.f32 u (*.f32 u -16))) (neg.f32 s))
(-.f32 0 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))
(.f32 (log1p.f32 (.f32 u (*.f32 u -16))) (neg.f32 s))
(-.f32 (exp.f32 (log1p.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))) 1)
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(/.f32 (.f32 s (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2))) (log1p.f32 (.f32 u (*.f32 u -16))))
(/.f32 s (/.f32 (log1p.f32 (.f32 u (.f32 u -16))) (neg.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2))))
(.f32 (/.f32 s (log1p.f32 (.f32 u (.f32 u -16)))) (neg.f32 (pow.f32 (log1p.f32 (.f32 u (*.f32 u -16))) 2)))
(/.f32 (.f32 s (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3))) (+.f32 (pow.f32 (log1p.f32 (.f32 u (*.f32 u -16))) 2) 0))
(/.f32 s (/.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2) (neg.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3))))
(.f32 (/.f32 s (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2)) (neg.f32 (pow.f32 (log1p.f32 (.f32 u (*.f32 u -16))) 3)))
(/.f32 (.f32 (.f32 s -1) (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2))) (log1p.f32 (.f32 u (.f32 u -16))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2)) (/.f32 (log1p.f32 (.f32 u (.f32 u -16))) (neg.f32 s)))
(.f32 (/.f32 (neg.f32 s) (log1p.f32 (.f32 u (.f32 u -16)))) (neg.f32 (pow.f32 (log1p.f32 (.f32 u (*.f32 u -16))) 2)))
(/.f32 (.f32 (.f32 s -1) (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3))) (+.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2) 0))
(/.f32 (neg.f32 s) (/.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2) (neg.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3))))
(.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3)) (pow.f32 (log1p.f32 (.f32 u (*.f32 u -16))) 2)) (neg.f32 s))
(/.f32 (.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2)) s) (log1p.f32 (.f32 u (*.f32 u -16))))
(/.f32 s (/.f32 (log1p.f32 (.f32 u (.f32 u -16))) (neg.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2))))
(.f32 (/.f32 s (log1p.f32 (.f32 u (.f32 u -16)))) (neg.f32 (pow.f32 (log1p.f32 (.f32 u (*.f32 u -16))) 2)))
(/.f32 (.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3)) s) (+.f32 (pow.f32 (log1p.f32 (.f32 u (*.f32 u -16))) 2) 0))
(/.f32 s (/.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2) (neg.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3))))
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(/.f32 (.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2)) (neg.f32 s)) (log1p.f32 (.f32 u (*.f32 u -16))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2)) (/.f32 (log1p.f32 (.f32 u (.f32 u -16))) (neg.f32 s)))
(.f32 (/.f32 (neg.f32 s) (log1p.f32 (.f32 u (.f32 u -16)))) (neg.f32 (pow.f32 (log1p.f32 (.f32 u (*.f32 u -16))) 2)))
(/.f32 (.f32 (-.f32 0 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3)) (neg.f32 s)) (+.f32 (pow.f32 (log1p.f32 (.f32 u (*.f32 u -16))) 2) 0))
(/.f32 (neg.f32 s) (/.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 2) (neg.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3))))
(.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 (.f32 u (.f32 u -16))) 3)) (pow.f32 (log1p.f32 (.f32 u (*.f32 u -16))) 2)) (neg.f32 s))
(pow.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s) 1)
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(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(pow.f32 (pow.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s) 3) 1/3)
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(neg.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))
(.f32 (log1p.f32 (.f32 u (*.f32 u -16))) (neg.f32 s))
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(sqrt.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u (*.f32 u -16)))) 2))
(fabs.f32 (.f32 s (log1p.f32 (.f32 u (*.f32 u -16)))))
(log.f32 (pow.f32 (+.f32 (.f32 u (.f32 u -16)) 1) s))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(cbrt.f32 (pow.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s) 3))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(expm1.f32 (log1p.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s)))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(exp.f32 (log.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s)))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(exp.f32 (.f32 (log.f32 (.f32 (log1p.f32 (.f32 u (.f32 u -16))) s)) 1))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(log1p.f32 (expm1.f32 (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s)))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`add-sqr-sqrt`
1302×	`*-un-lft-identity`
1212×	`add-cube-cbrt`
1194×	`add-cbrt-cube`
1180×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	142	13
2	1638	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

904×	`*-commutative`
802×	`exp-sum`
800×	`log-prod`
776×	`associate-r`
704×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	455
1	87	455
2	317	455
3	2084	455
4	5934	455

Stop Event

1×	node limit

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

localize109.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 16 (.f32 (.f32 -64 u) u))
✓	0.2b	(/.f32 (+.f32 16 (.f32 (.f32 -64 u) u)) (-.f32 4 (*.f32 u 8)))
✓	0.2b	(.f32 (.f32 (/.f32 s 1) (/.f32 (+.f32 16 (.f32 (.f32 -64 u) u)) (-.f32 4 (*.f32 u 8)))) u)
✓	0.3b	(.f32 (/.f32 s 1) (/.f32 (+.f32 16 (.f32 (.f32 -64 u) u)) (-.f32 4 (.f32 u 8))))

Compiler

Compiled 84 to 62 computations (26.2% saved)

series7.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	s	@	0	(.f32 (.f32 (/.f32 s 1) (/.f32 (+.f32 16 (.f32 (.f32 -64 u) u)) (-.f32 4 (*.f32 u 8)))) u)
1.0ms	s	@	0	(.f32 (/.f32 s 1) (/.f32 (+.f32 16 (.f32 (.f32 -64 u) u)) (-.f32 4 (.f32 u 8))))
1.0ms	u	@	inf	(.f32 (/.f32 s 1) (/.f32 (+.f32 16 (.f32 (.f32 -64 u) u)) (-.f32 4 (.f32 u 8))))
1.0ms	s	@	inf	(.f32 (/.f32 s 1) (/.f32 (+.f32 16 (.f32 (.f32 -64 u) u)) (-.f32 4 (.f32 u 8))))
0.0ms	u	@	0	(.f32 (/.f32 s 1) (/.f32 (+.f32 16 (.f32 (.f32 -64 u) u)) (-.f32 4 (.f32 u 8))))

rewrite136.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`associate-/r*`
1546×	`associate-/l*`
368×	`add-sqr-sqrt`
352×	`*-un-lft-identity`
350×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	148
1	402	132
2	4916	132

Stop Event

1×	node limit

Counts

4 → 364

Calls

Call 1

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

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

simplify216.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1764×	`associate-r`
1714×	`associate-/r*`
1574×	`associate-/r/`
1266×	`associate-l`
830×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	900	22324
1	2328	21998

Stop Event

1×	node limit

Counts

436 → 581

Calls

Call 1

Inputs
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(*.f32 4 s)
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(.f32 8 (.f32 s u))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(.f32 8 (.f32 s u))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 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))))
4
(+.f32 4 (*.f32 8 u))
(+.f32 4 (*.f32 8 u))
(+.f32 4 (*.f32 8 u))
(*.f32 8 u)
(+.f32 4 (*.f32 8 u))
(+.f32 4 (*.f32 8 u))
(+.f32 4 (*.f32 8 u))
(*.f32 8 u)
(+.f32 4 (*.f32 8 u))
(+.f32 4 (*.f32 8 u))
(+.f32 4 (*.f32 8 u))
16
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(*.f32 -64 (pow.f32 u 2))
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(*.f32 -64 (pow.f32 u 2))
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 (+.f32 4 (.f32 u -8)) s)))) 1)
(/.f32 1 (/.f32 (+.f32 4 (.f32 u -8)) (.f32 s (fma.f32 -64 (*.f32 u u) 16))))
(/.f32 1 (.f32 (/.f32 1 s) (/.f32 (+.f32 4 (.f32 u -8)) (fma.f32 -64 (*.f32 u u) 16))))
(/.f32 1 (.f32 (/.f32 (+.f32 4 (.f32 u -8)) (fma.f32 -64 (*.f32 u u) 16)) (/.f32 1 s)))
(/.f32 1 (/.f32 (.f32 (/.f32 (+.f32 4 (.f32 u -8)) (fma.f32 -64 (*.f32 u u) 16)) 1) s))
(/.f32 1 (/.f32 (.f32 (/.f32 1 s) (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16)))
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(/.f32 (/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (.f32 (cbrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 -1024 (.f32 u u))))) (cbrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 -1024 (.f32 u u))))))) (cbrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 -1024 (*.f32 u u))))))
(pow.f32 (fma.f32 -64 (*.f32 u u) 16) 1)
(pow.f32 (sqrt.f32 (fma.f32 -64 (*.f32 u u) 16)) 2)
(pow.f32 (cbrt.f32 (fma.f32 -64 (*.f32 u u) 16)) 3)
(pow.f32 (pow.f32 (fma.f32 -64 (*.f32 u u) 16) 3) 1/3)
(sqrt.f32 (pow.f32 (fma.f32 -64 (*.f32 u u) 16) 2))
(log.f32 (exp.f32 (fma.f32 -64 (*.f32 u u) 16)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 -64 (*.f32 u u) 16))))
(cbrt.f32 (pow.f32 (fma.f32 -64 (*.f32 u u) 16) 3))
(expm1.f32 (log1p.f32 (fma.f32 -64 (*.f32 u u) 16)))
(exp.f32 (log.f32 (fma.f32 -64 (*.f32 u u) 16)))
(exp.f32 (.f32 (log.f32 (fma.f32 -64 (.f32 u u) 16)) 1))
(log1p.f32 (expm1.f32 (fma.f32 -64 (*.f32 u u) 16)))
(fma.f32 1 (.f32 -64 (.f32 u u)) 16)
(fma.f32 -64 (*.f32 u u) 16)
(fma.f32 u (*.f32 -64 u) 16)
(fma.f32 (*.f32 -64 u) u 16)
(fma.f32 (.f32 (sqrt.f32 -64) u) (.f32 (sqrt.f32 -64) u) 16)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 -64 (.f32 u u))) 2) (cbrt.f32 (.f32 -64 (.f32 u u))) 16)

Outputs
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 (.f32 s (+.f32 16 (.f32 -64 (pow.f32 u 2)))) (-.f32 4 (*.f32 8 u)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(*.f32 4 s)
(*.f32 s 4)
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(fma.f32 4 s (.f32 8 (.f32 s u)))
(fma.f32 4 s (.f32 s (.f32 u 8)))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(fma.f32 4 s (.f32 8 (.f32 s u)))
(fma.f32 4 s (.f32 s (.f32 u 8)))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(fma.f32 4 s (.f32 8 (.f32 s u)))
(fma.f32 4 s (.f32 s (.f32 u 8)))
(.f32 8 (.f32 s u))
(.f32 s (.f32 u 8))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(fma.f32 4 s (.f32 8 (.f32 s u)))
(fma.f32 4 s (.f32 s (.f32 u 8)))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(fma.f32 4 s (.f32 8 (.f32 s u)))
(fma.f32 4 s (.f32 s (.f32 u 8)))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(fma.f32 4 s (.f32 8 (.f32 s u)))
(fma.f32 4 s (.f32 s (.f32 u 8)))
(.f32 8 (.f32 s u))
(.f32 s (.f32 u 8))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(fma.f32 4 s (.f32 8 (.f32 s u)))
(fma.f32 4 s (.f32 s (.f32 u 8)))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(fma.f32 4 s (.f32 8 (.f32 s u)))
(fma.f32 4 s (.f32 s (.f32 u 8)))
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(fma.f32 4 s (.f32 8 (.f32 s u)))
(fma.f32 4 s (.f32 s (.f32 u 8)))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(.f32 (/.f32 u (+.f32 4 (.f32 u -8))) (.f32 s (fma.f32 -64 (.f32 u u) 16)))
(.f32 u (.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (.f32 u -8)))))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(.f32 (/.f32 u (+.f32 4 (.f32 u -8))) (.f32 s (fma.f32 -64 (.f32 u u) 16)))
(.f32 u (.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (.f32 u -8)))))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(.f32 (/.f32 u (+.f32 4 (.f32 u -8))) (.f32 s (fma.f32 -64 (.f32 u u) 16)))
(.f32 u (.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (.f32 u -8)))))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(.f32 (/.f32 u (+.f32 4 (.f32 u -8))) (.f32 s (fma.f32 -64 (.f32 u u) 16)))
(.f32 u (.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (.f32 u -8)))))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(.f32 (/.f32 u (+.f32 4 (.f32 u -8))) (.f32 s (fma.f32 -64 (.f32 u u) 16)))
(.f32 u (.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (.f32 u -8)))))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(.f32 (/.f32 u (+.f32 4 (.f32 u -8))) (.f32 s (fma.f32 -64 (.f32 u u) 16)))
(.f32 u (.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (.f32 u -8)))))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(.f32 (/.f32 u (+.f32 4 (.f32 u -8))) (.f32 s (fma.f32 -64 (.f32 u u) 16)))
(.f32 u (.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (.f32 u -8)))))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(.f32 (/.f32 u (+.f32 4 (.f32 u -8))) (.f32 s (fma.f32 -64 (.f32 u u) 16)))
(.f32 u (.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (.f32 u -8)))))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(.f32 (/.f32 u (+.f32 4 (.f32 u -8))) (.f32 s (fma.f32 -64 (.f32 u u) 16)))
(.f32 u (.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (.f32 u -8)))))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(.f32 (/.f32 u (+.f32 4 (.f32 u -8))) (.f32 s (fma.f32 -64 (.f32 u u) 16)))
(.f32 u (.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (.f32 u -8)))))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(.f32 (/.f32 u (+.f32 4 (.f32 u -8))) (.f32 s (fma.f32 -64 (.f32 u u) 16)))
(.f32 u (.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (.f32 u -8)))))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 -64 (pow.f32 u 2))))) (-.f32 4 (.f32 8 u)))
(.f32 (/.f32 u (+.f32 4 (.f32 u -8))) (.f32 s (fma.f32 -64 (.f32 u u) 16)))
(.f32 u (.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (.f32 u -8)))))
(.f32 4 (.f32 s u))
(.f32 (.f32 s 4) 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 8 (.f32 s (.f32 u u))))
(+.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))))
(+.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))))
(.f32 8 (.f32 s (pow.f32 u 2)))
(.f32 8 (.f32 s (*.f32 u u)))
(+.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))))
(+.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))))
(+.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))))
(.f32 8 (.f32 s (pow.f32 u 2)))
(.f32 8 (.f32 s (*.f32 u u)))
(+.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))))
(+.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))))
(+.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))))
4
(+.f32 4 (*.f32 8 u))
(+.f32 4 (*.f32 u 8))
(+.f32 4 (*.f32 8 u))
(+.f32 4 (*.f32 u 8))
(+.f32 4 (*.f32 8 u))
(+.f32 4 (*.f32 u 8))
(*.f32 8 u)
(*.f32 u 8)
(+.f32 4 (*.f32 8 u))
(+.f32 4 (*.f32 u 8))
(+.f32 4 (*.f32 8 u))
(+.f32 4 (*.f32 u 8))
(+.f32 4 (*.f32 8 u))
(+.f32 4 (*.f32 u 8))
(*.f32 8 u)
(*.f32 u 8)
(+.f32 4 (*.f32 8 u))
(+.f32 4 (*.f32 u 8))
(+.f32 4 (*.f32 8 u))
(+.f32 4 (*.f32 u 8))
(+.f32 4 (*.f32 8 u))
(+.f32 4 (*.f32 u 8))
16
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(fma.f32 -64 (*.f32 u u) 16)
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(fma.f32 -64 (*.f32 u u) 16)
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(fma.f32 -64 (*.f32 u u) 16)
(*.f32 -64 (pow.f32 u 2))
(.f32 -64 (.f32 u u))
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(fma.f32 -64 (*.f32 u u) 16)
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(fma.f32 -64 (*.f32 u u) 16)
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(fma.f32 -64 (*.f32 u u) 16)
(*.f32 -64 (pow.f32 u 2))
(.f32 -64 (.f32 u u))
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(fma.f32 -64 (*.f32 u u) 16)
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(fma.f32 -64 (*.f32 u u) 16)
(+.f32 16 (*.f32 -64 (pow.f32 u 2)))
(fma.f32 -64 (*.f32 u u) 16)
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 (+.f32 4 (.f32 u -8)) s)))) 1)
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 1 (/.f32 (+.f32 4 (.f32 u -8)) (.f32 s (fma.f32 -64 (*.f32 u u) 16))))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 1 (.f32 (/.f32 1 s) (/.f32 (+.f32 4 (.f32 u -8)) (fma.f32 -64 (*.f32 u u) 16))))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 1 (.f32 (/.f32 (+.f32 4 (.f32 u -8)) (fma.f32 -64 (*.f32 u u) 16)) (/.f32 1 s)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 1 (/.f32 (.f32 (/.f32 (+.f32 4 (.f32 u -8)) (fma.f32 -64 (*.f32 u u) 16)) 1) s))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 1 (/.f32 (.f32 (/.f32 1 s) (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 1 (/.f32 (.f32 (+.f32 4 (.f32 u -8)) (/.f32 1 s)) (fma.f32 -64 (*.f32 u u) 16)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 1 (/.f32 (.f32 -1 (/.f32 (+.f32 4 (.f32 u -8)) (fma.f32 -64 (*.f32 u u) 16))) (neg.f32 s)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 1 (/.f32 (.f32 (/.f32 (+.f32 4 (.f32 u -8)) (fma.f32 -64 (*.f32 u u) 16)) -1) (neg.f32 s)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 1 (/.f32 (.f32 (/.f32 1 s) (+.f32 -4 (.f32 u 8))) (neg.f32 (fma.f32 -64 (*.f32 u u) 16))))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 s (/.f32 (+.f32 4 (.f32 u -8)) (fma.f32 -64 (.f32 u u) 16)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 s (.f32 (/.f32 (+.f32 4 (.f32 u -8)) (fma.f32 -64 (*.f32 u u) 16)) 1))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 s (/.f32 (.f32 (/.f32 (+.f32 4 (.f32 u -8)) (fma.f32 -64 (*.f32 u u) 16)) 1) 1))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 s (/.f32 (.f32 -1 (/.f32 (+.f32 4 (.f32 u -8)) (fma.f32 -64 (*.f32 u u) 16))) -1))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 s (/.f32 (.f32 (/.f32 (+.f32 4 (.f32 u -8)) (fma.f32 -64 (*.f32 u u) 16)) -1) -1))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 (fma.f32 -64 (.f32 u u) 16) (.f32 (/.f32 1 s) (+.f32 4 (*.f32 u -8))))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 (fma.f32 -64 (.f32 u u) 16) (.f32 (+.f32 4 (*.f32 u -8)) (/.f32 1 s)))
(.f32 (/.f32 s (+.f32 4 (.f32 u -8))) (fma.f32 -64 (*.f32 u u) 16))
(.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 s (+.f32 4 (*.f32 u -8))))
(/.f32 (fma.f32 -64 (.f32 u u) 16) (/.f32 (+.f32 4 (.f32 u -8)) s))
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(/.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)) (+.f32 16 (.f32 u (.f32 u 64))))
(/.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)) (/.f32 1 (/.f32 1 (+.f32 16 (.f32 64 (.f32 u u))))))
(/.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)) (+.f32 16 (.f32 (.f32 u u) 64)))
(/.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)) (+.f32 16 (.f32 u (.f32 u 64))))
(/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 -1024 (.f32 u u)))))
(/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 (.f32 u u) -1024))))
(/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (+.f32 256 (.f32 (.f32 u u) 1024))))
(/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (/.f32 1 (/.f32 1 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 -1024 (.f32 u u)))))))
(/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 (.f32 u u) -1024))))
(/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (+.f32 256 (.f32 (.f32 u u) 1024))))
(/.f32 (sqrt.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2))) (/.f32 (+.f32 16 (.f32 64 (.f32 u u))) (sqrt.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)))))
(.f32 (/.f32 (sqrt.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2))) (+.f32 16 (.f32 (.f32 u u) 64))) (sqrt.f32 (-.f32 256 (pow.f32 (.f32 -64 (*.f32 u u)) 2))))
(.f32 (sqrt.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2))) (/.f32 (sqrt.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2))) (+.f32 16 (.f32 u (*.f32 u 64)))))
(/.f32 (sqrt.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3)))) (/.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 -1024 (.f32 u u)))) (sqrt.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))))))
(.f32 (/.f32 (sqrt.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3)))) (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 (.f32 u u) -1024)))) (sqrt.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (*.f32 u u) 3)))))
(.f32 (sqrt.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3)))) (/.f32 (sqrt.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3)))) (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (+.f32 256 (.f32 (*.f32 u u) 1024)))))
(/.f32 (.f32 (cbrt.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2))) (cbrt.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)))) (/.f32 (+.f32 16 (.f32 64 (.f32 u u))) (cbrt.f32 (-.f32 256 (pow.f32 (.f32 -64 (*.f32 u u)) 2)))))
(/.f32 (cbrt.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2))) (/.f32 (/.f32 (+.f32 16 (.f32 (.f32 u u) 64)) (cbrt.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)))) (cbrt.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)))))
(.f32 (/.f32 (cbrt.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2))) (/.f32 (+.f32 16 (.f32 u (.f32 u 64))) (cbrt.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2))))) (cbrt.f32 (-.f32 256 (pow.f32 (.f32 -64 (*.f32 u u)) 2))))
(/.f32 (.f32 (cbrt.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3)))) (cbrt.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))))) (/.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 -1024 (.f32 u u)))) (cbrt.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (*.f32 u u) 3))))))
(.f32 (/.f32 (.f32 (cbrt.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3)))) (cbrt.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))))) (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 (.f32 u u) -1024)))) (cbrt.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3)))))
(.f32 (cbrt.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3)))) (/.f32 (.f32 (cbrt.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3)))) (cbrt.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))))) (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (+.f32 256 (.f32 (.f32 u u) 1024)))))
(/.f32 (neg.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2))) (neg.f32 (+.f32 16 (.f32 64 (.f32 u u)))))
(/.f32 (neg.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2))) (neg.f32 (+.f32 16 (.f32 (.f32 u u) 64))))
(/.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) -256) (-.f32 -16 (.f32 u (.f32 u 64))))
(/.f32 (neg.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3)))) (neg.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 -1024 (.f32 u u))))))
(/.f32 (+.f32 -4096 (neg.f32 (.f32 -262144 (pow.f32 (.f32 u u) 3)))) (neg.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 (.f32 u u) -1024)))))
(/.f32 (-.f32 -4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (neg.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (+.f32 256 (.f32 (.f32 u u) 1024)))))
(/.f32 (-.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) 256) (-.f32 (.f32 -64 (.f32 u u)) 16))
(/.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) -256) (fma.f32 -64 (*.f32 u u) -16))
(/.f32 (/.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)) 1) (+.f32 16 (.f32 64 (.f32 u u))))
(/.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)) (+.f32 16 (.f32 (.f32 u u) 64)))
(/.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)) (+.f32 16 (.f32 u (.f32 u 64))))
(/.f32 (/.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)) (sqrt.f32 (+.f32 16 (.f32 64 (.f32 u u))))) (sqrt.f32 (+.f32 16 (.f32 64 (.f32 u u)))))
(/.f32 (/.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)) (sqrt.f32 (+.f32 16 (.f32 (.f32 u u) 64)))) (sqrt.f32 (+.f32 16 (.f32 (.f32 u u) 64))))
(/.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)) (.f32 (sqrt.f32 (+.f32 16 (.f32 u (.f32 u 64)))) (sqrt.f32 (+.f32 16 (.f32 u (*.f32 u 64))))))
(/.f32 (/.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)) (.f32 (cbrt.f32 (+.f32 16 (.f32 64 (.f32 u u)))) (cbrt.f32 (+.f32 16 (.f32 64 (.f32 u u)))))) (cbrt.f32 (+.f32 16 (.f32 64 (*.f32 u u)))))
(/.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)) (.f32 (cbrt.f32 (+.f32 16 (.f32 (.f32 u u) 64))) (.f32 (cbrt.f32 (+.f32 16 (.f32 (.f32 u u) 64))) (cbrt.f32 (+.f32 16 (.f32 (.f32 u u) 64))))))
(/.f32 (-.f32 256 (pow.f32 (.f32 -64 (.f32 u u)) 2)) (.f32 (cbrt.f32 (+.f32 16 (.f32 u (.f32 u 64)))) (.f32 (cbrt.f32 (+.f32 16 (.f32 u (.f32 u 64)))) (cbrt.f32 (+.f32 16 (.f32 u (.f32 u 64)))))))
(/.f32 (/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) 1) (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 -1024 (.f32 u u)))))
(/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 (.f32 u u) -1024))))
(/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (+.f32 256 (.f32 (.f32 u u) 1024))))
(/.f32 (/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (sqrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 -1024 (.f32 u u)))))) (sqrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 -1024 (.f32 u u))))))
(/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (.f32 (sqrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 (.f32 u u) -1024)))) (sqrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 (*.f32 u u) -1024))))))
(/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (.f32 (sqrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (+.f32 256 (.f32 (.f32 u u) 1024)))) (sqrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (+.f32 256 (.f32 (*.f32 u u) 1024))))))
(/.f32 (/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (.f32 (cbrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 -1024 (.f32 u u))))) (cbrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 -1024 (.f32 u u))))))) (cbrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 -1024 (*.f32 u u))))))
(/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (.f32 (cbrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 (.f32 u u) -1024)))) (.f32 (cbrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 (.f32 u u) -1024)))) (cbrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (-.f32 256 (.f32 (.f32 u u) -1024)))))))
(/.f32 (+.f32 4096 (.f32 -262144 (pow.f32 (.f32 u u) 3))) (.f32 (cbrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (+.f32 256 (.f32 (.f32 u u) 1024)))) (.f32 (cbrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (+.f32 256 (.f32 (.f32 u u) 1024)))) (cbrt.f32 (+.f32 (pow.f32 (.f32 -64 (.f32 u u)) 2) (+.f32 256 (.f32 (.f32 u u) 1024)))))))
(pow.f32 (fma.f32 -64 (*.f32 u u) 16) 1)
(fma.f32 -64 (*.f32 u u) 16)
(pow.f32 (sqrt.f32 (fma.f32 -64 (*.f32 u u) 16)) 2)
(fma.f32 -64 (*.f32 u u) 16)
(pow.f32 (cbrt.f32 (fma.f32 -64 (*.f32 u u) 16)) 3)
(fma.f32 -64 (*.f32 u u) 16)
(pow.f32 (pow.f32 (fma.f32 -64 (*.f32 u u) 16) 3) 1/3)
(fma.f32 -64 (*.f32 u u) 16)
(sqrt.f32 (pow.f32 (fma.f32 -64 (*.f32 u u) 16) 2))
(log.f32 (exp.f32 (fma.f32 -64 (*.f32 u u) 16)))
(fma.f32 -64 (*.f32 u u) 16)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 -64 (*.f32 u u) 16))))
(fma.f32 -64 (*.f32 u u) 16)
(cbrt.f32 (pow.f32 (fma.f32 -64 (*.f32 u u) 16) 3))
(fma.f32 -64 (*.f32 u u) 16)
(expm1.f32 (log1p.f32 (fma.f32 -64 (*.f32 u u) 16)))
(fma.f32 -64 (*.f32 u u) 16)
(exp.f32 (log.f32 (fma.f32 -64 (*.f32 u u) 16)))
(fma.f32 -64 (*.f32 u u) 16)
(exp.f32 (.f32 (log.f32 (fma.f32 -64 (.f32 u u) 16)) 1))
(fma.f32 -64 (*.f32 u u) 16)
(log1p.f32 (expm1.f32 (fma.f32 -64 (*.f32 u u) 16)))
(fma.f32 -64 (*.f32 u u) 16)
(fma.f32 1 (.f32 -64 (.f32 u u)) 16)
(fma.f32 -64 (*.f32 u u) 16)
(fma.f32 -64 (*.f32 u u) 16)
(fma.f32 u (*.f32 -64 u) 16)
(fma.f32 -64 (*.f32 u u) 16)
(fma.f32 (*.f32 -64 u) u 16)
(fma.f32 -64 (*.f32 u u) 16)
(fma.f32 (.f32 (sqrt.f32 -64) u) (.f32 (sqrt.f32 -64) u) 16)
(fma.f32 (.f32 u (sqrt.f32 -64)) (.f32 u (sqrt.f32 -64)) 16)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 -64 (.f32 u u))) 2) (cbrt.f32 (.f32 -64 (.f32 u u))) 16)

localize73.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (*.f32 u u)) 16)) u)
✓	0.2b	(.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16))
✓	0.2b	(/.f32 (/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) u) s) (-.f32 (.f32 u 8) 4))
✓	11.8b	(/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (*.f32 u u)) 16)) u) s)

Compiler

Compiled 94 to 50 computations (46.8% saved)

series11.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	s	@	0	(/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (*.f32 u u)) 16)) u) s)
1.0ms	s	@	inf	(/.f32 (/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) u) s) (-.f32 (.f32 u 8) 4))
0.0ms	s	@	0	(/.f32 (/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) u) s) (-.f32 (.f32 u 8) 4))
0.0ms	u	@	0	(/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (*.f32 u u)) 16)) u) s)
0.0ms	u	@	inf	(/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (*.f32 u u)) 16)) u) s)

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`associate-/r/`
1256×	`associate-/l/`
392×	`add-sqr-sqrt`
380×	`*-un-lft-identity`
378×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	152
1	405	152
2	5522	152

Stop Event

1×	node limit

Counts

4 → 194

Calls

Call 1

Inputs
(/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (*.f32 u u)) 16)) u) s)
(/.f32 (/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) u) s) (-.f32 (.f32 u 8) 4))
(.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16))
(.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (*.f32 u u)) 16)) u)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 s s) (.f32 (.f32 u (fma.f32 (.f32 64 u) u -16)) (/.f32 1 s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 1 s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (.f32 u (/.f32 1 s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (.f32 1 (/.f32 u s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))) (/.f32 1 s))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 s (sqrt.f32 (.f32 u (fma.f32 (.f32 64 u) u -16)))) (.f32 (.f32 s (sqrt.f32 (.f32 u (fma.f32 (.f32 64 u) u -16)))) (/.f32 1 s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 s (sqrt.f32 (fma.f32 (.f32 64 u) u -16))) (sqrt.f32 (/.f32 s u))) (/.f32 (.f32 s (sqrt.f32 (fma.f32 (.f32 64 u) u -16))) (sqrt.f32 (/.f32 s u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16))))) 2) (.f32 (cbrt.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16))))) (/.f32 1 s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s))) (pow.f32 (cbrt.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 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simplify105.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1706×	`associate-/l*`
1060×	`associate-*r/`
982×	`associate-*l/`
940×	`times-frac`
922×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	533	12312
1	1679	11602

Stop Event

1×	node limit

Counts

290 → 317

Calls

Call 1

Inputs
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
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(.f32 (.f32 (/.f32 (neg.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16))) s) u) (/.f32 1 (-.f32 4 (.f32 u 8))))
(.f32 (/.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (*.f32 64 u) u -16)))) (fma.f32 u 8 -4)) (/.f32 1 s))
(.f32 (/.f32 1 (sqrt.f32 (fma.f32 u 8 -4))) (/.f32 s (.f32 (sqrt.f32 (fma.f32 u 8 -4)) (/.f32 (/.f32 s u) (.f32 s (fma.f32 (.f32 64 u) u -16))))))
(.f32 (/.f32 1 (pow.f32 (cbrt.f32 (fma.f32 u 8 -4)) 2)) (/.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))) (.f32 (cbrt.f32 (fma.f32 u 8 -4)) s)))
(.f32 (/.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))) 1) (/.f32 1 (.f32 s (fma.f32 u 8 -4))))
(.f32 (/.f32 (.f32 s s) (.f32 (fma.f32 (.f32 64 u) u -16) (/.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16))))) (fma.f32 u 8 4))
(.f32 (/.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))) (.f32 (+.f32 (.f32 (pow.f32 u 3) 512) -64) s)) (+.f32 (fma.f32 64 (.f32 u u) 16) (*.f32 u 32)))
(.f32 (/.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))) (.f32 (+.f32 (.f32 (pow.f32 u 3) 512) -64) s)) (-.f32 (fma.f32 64 (.f32 u u) 16) (.f32 (.f32 u 8) -4)))
(.f32 (/.f32 1 (fma.f32 (.f32 64 u) u -16)) (.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) (/.f32 u s)) (fma.f32 u 8 4)))
(.f32 (/.f32 1 (+.f32 (.f32 (pow.f32 u 3) 512) -64)) (.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s)) (+.f32 (fma.f32 64 (.f32 u u) 16) (*.f32 u 32))))
(.f32 (/.f32 1 (.f32 s (fma.f32 u 8 -4))) (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))))
(.f32 (/.f32 1 (-.f32 4 (.f32 u 8))) (.f32 (/.f32 (neg.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16))) s) u))
(.f32 (/.f32 (.f32 s s) (fma.f32 u 8 -4)) (/.f32 (.f32 u (fma.f32 (.f32 64 u) u -16)) s))
(.f32 (/.f32 u (fma.f32 u 8 -4)) (/.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) s))
(.f32 (/.f32 (.f32 s (sqrt.f32 (.f32 u (fma.f32 (.f32 64 u) u -16)))) (fma.f32 u 8 -4)) (/.f32 (.f32 s (sqrt.f32 (.f32 u (fma.f32 (*.f32 64 u) u -16)))) s))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16))))) 2) (fma.f32 u 8 -4)) (/.f32 (cbrt.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (*.f32 64 u) u -16))))) s))
(.f32 (/.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (*.f32 64 u) u -16)))) (sqrt.f32 (fma.f32 u 8 -4))) (/.f32 (/.f32 1 s) (sqrt.f32 (fma.f32 u 8 -4))))
(.f32 (/.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (*.f32 64 u) u -16)))) (pow.f32 (cbrt.f32 (fma.f32 u 8 -4)) 2)) (/.f32 (/.f32 1 s) (cbrt.f32 (fma.f32 u 8 -4))))
(.f32 (/.f32 (.f32 s (sqrt.f32 (.f32 u (fma.f32 (.f32 64 u) u -16)))) (.f32 (fma.f32 u 8 -4) (sqrt.f32 s))) (/.f32 (.f32 s (sqrt.f32 (fma.f32 (*.f32 64 u) u -16))) (sqrt.f32 (/.f32 s u))))
(.f32 (/.f32 (.f32 s (sqrt.f32 (fma.f32 (.f32 64 u) u -16))) (.f32 (pow.f32 (cbrt.f32 (fma.f32 u 8 -4)) 2) (sqrt.f32 (/.f32 s u)))) (/.f32 (.f32 s (sqrt.f32 (.f32 u (fma.f32 (.f32 64 u) u -16)))) (.f32 (cbrt.f32 (fma.f32 u 8 -4)) (sqrt.f32 s))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s))) 2) 1) (/.f32 (cbrt.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) (/.f32 u s))) (fma.f32 u 8 -4)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s))) 2) (sqrt.f32 (fma.f32 u 8 -4))) (/.f32 (cbrt.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) (/.f32 u s))) (sqrt.f32 (fma.f32 u 8 -4))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s))) 2) (pow.f32 (cbrt.f32 (fma.f32 u 8 -4)) 2)) (cbrt.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (*.f32 64 u) u -16))))))
(.f32 (/.f32 (.f32 s s) (.f32 s (fma.f32 u 8 -4))) (.f32 u (fma.f32 (*.f32 64 u) u -16)))
(.f32 (/.f32 u (.f32 s (fma.f32 u 8 -4))) (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)))
(.f32 (/.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (*.f32 s (fma.f32 u 8 -4))) u)
(.f32 (/.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s)) (neg.f32 (fma.f32 (.f32 64 u) u -16))) (neg.f32 (fma.f32 u 8 4)))
(.f32 (/.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s)) (neg.f32 (+.f32 (.f32 (pow.f32 u 3) 512) -64))) (neg.f32 (+.f32 (fma.f32 64 (.f32 u u) 16) (.f32 u 32))))
(.f32 (/.f32 1 (/.f32 (fma.f32 u 8 -4) (.f32 s (.f32 s (.f32 u (fma.f32 (*.f32 64 u) u -16)))))) (/.f32 1 s))
(.f32 (/.f32 1 (/.f32 (fma.f32 u 8 -4) (pow.f32 (cbrt.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s))) 2))) (cbrt.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) (/.f32 u s))))
(.f32 (/.f32 (.f32 s (sqrt.f32 (.f32 u (fma.f32 (.f32 64 u) u -16)))) (.f32 s (fma.f32 u 8 -4))) (.f32 s (sqrt.f32 (.f32 u (fma.f32 (.f32 64 u) u -16)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16))))) 2) (.f32 s (fma.f32 u 8 -4))) (cbrt.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16))))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s))) 2) (fma.f32 u 8 -4)) (cbrt.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) (/.f32 u s))))
(.f32 (/.f32 (/.f32 1 (fma.f32 u 8 -4)) s) (.f32 s (.f32 s (.f32 u (fma.f32 (*.f32 64 u) u -16)))))
(.f32 (/.f32 (/.f32 1 (fma.f32 u 8 -4)) 1) (.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) (/.f32 u s)))
(.f32 (/.f32 (/.f32 1 (fma.f32 u 8 -4)) (sqrt.f32 s)) (/.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (*.f32 64 u) u -16)))) (sqrt.f32 s)))
(.f32 (/.f32 (/.f32 1 (fma.f32 u 8 -4)) (pow.f32 (cbrt.f32 s) 2)) (/.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (*.f32 64 u) u -16)))) (cbrt.f32 s)))
(.f32 (/.f32 (/.f32 1 (fma.f32 u 8 -4)) (/.f32 s u)) (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)))
(.f32 (/.f32 (/.f32 1 (fma.f32 u 8 -4)) (neg.f32 s)) (.f32 (.f32 s s) (neg.f32 (.f32 u (fma.f32 (*.f32 64 u) u -16)))))
(.f32 (/.f32 (/.f32 1 (fma.f32 u 8 -4)) (/.f32 s 1)) (.f32 s (.f32 s (.f32 u (fma.f32 (*.f32 64 u) u -16)))))
(.f32 (/.f32 (/.f32 1 (fma.f32 u 8 -4)) (/.f32 s (.f32 s s))) (.f32 u (fma.f32 (.f32 64 u) u -16)))
(.f32 (/.f32 (/.f32 1 (fma.f32 u 8 -4)) (/.f32 s (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)))) u)
(.f32 (/.f32 (/.f32 1 (fma.f32 u 8 -4)) (/.f32 s (.f32 s (sqrt.f32 (.f32 u (fma.f32 (.f32 64 u) u -16)))))) (.f32 s (sqrt.f32 (.f32 u (fma.f32 (*.f32 64 u) u -16)))))
(.f32 (/.f32 (/.f32 1 (fma.f32 u 8 -4)) (/.f32 s (pow.f32 (cbrt.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16))))) 2))) (cbrt.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (*.f32 64 u) u -16))))))
(.f32 (/.f32 (.f32 (/.f32 (neg.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16))) s) u) (neg.f32 (fma.f32 (.f32 64 u) u -16))) (fma.f32 u 8 4))
(.f32 (/.f32 (.f32 (/.f32 (neg.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16))) s) u) (neg.f32 (+.f32 (.f32 (pow.f32 u 3) 512) -64))) (+.f32 (fma.f32 64 (.f32 u u) 16) (.f32 u 32)))
(.f32 (/.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) (/.f32 1 (fma.f32 u 8 -4))) s) u)
(.f32 (/.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) (/.f32 1 (fma.f32 u 8 -4))) 1) (/.f32 u s))
(.f32 (/.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) (/.f32 1 (fma.f32 u 8 -4))) (sqrt.f32 s)) (/.f32 u (sqrt.f32 s)))
(.f32 (/.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) (/.f32 1 (fma.f32 u 8 -4))) (pow.f32 (cbrt.f32 s) 2)) (/.f32 u (cbrt.f32 s)))
(.f32 (/.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) (/.f32 1 (fma.f32 u 8 -4))) (neg.f32 s)) (neg.f32 u))
(.f32 (/.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) (/.f32 1 (fma.f32 u 8 -4))) (/.f32 s 1)) u)
(.f32 (/.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) (/.f32 1 (fma.f32 u 8 -4))) (/.f32 s (sqrt.f32 u))) (sqrt.f32 u))
(.f32 (/.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) (/.f32 1 (fma.f32 u 8 -4))) (/.f32 s (pow.f32 (cbrt.f32 u) 2))) (cbrt.f32 u))
(.f32 (/.f32 (/.f32 s (.f32 (sqrt.f32 (fma.f32 u 8 -4)) (/.f32 (/.f32 s u) (.f32 s (fma.f32 (.f32 64 u) u -16))))) (sqrt.f32 (fma.f32 (*.f32 64 u) u -16))) (sqrt.f32 (fma.f32 u 8 4)))
(.f32 (/.f32 (/.f32 s (.f32 (sqrt.f32 (fma.f32 u 8 -4)) (/.f32 (/.f32 s u) (.f32 s (fma.f32 (.f32 64 u) u -16))))) (sqrt.f32 (+.f32 (.f32 (pow.f32 u 3) 512) -64))) (sqrt.f32 (+.f32 (fma.f32 64 (.f32 u u) 16) (*.f32 u 32))))
(.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s)) (pow.f32 (cbrt.f32 (fma.f32 u 8 -4)) 2)) (cbrt.f32 (fma.f32 (.f32 64 u) u -16))) (cbrt.f32 (fma.f32 u 8 4)))
(.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s)) (pow.f32 (cbrt.f32 (fma.f32 u 8 -4)) 2)) (cbrt.f32 (+.f32 (.f32 (pow.f32 u 3) 512) -64))) (cbrt.f32 (+.f32 (fma.f32 64 (.f32 u u) 16) (.f32 u 32))))
(.f32 (/.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (fma.f32 u 8 -4)) (/.f32 u s))
(pow.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (.f32 64 u) u -16)))) 1)
(pow.f32 (/.f32 (.f32 s (sqrt.f32 (.f32 u (fma.f32 (.f32 64 u) u -16)))) (sqrt.f32 (.f32 s (fma.f32 u 8 -4)))) 2)
(pow.f32 (cbrt.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (.f32 64 u) u -16))))) 3)
(pow.f32 (pow.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (.f32 64 u) u -16)))) 3) 1/3)
(pow.f32 (.f32 (fma.f32 u 8 -4) (/.f32 (/.f32 s u) (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)))) -1)
(neg.f32 (/.f32 s (.f32 (-.f32 4 (.f32 u 8)) (/.f32 (/.f32 s u) (.f32 s (fma.f32 (.f32 64 u) u -16))))))
(sqrt.f32 (pow.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (.f32 64 u) u -16)))) 2))
(log.f32 (exp.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (.f32 64 u) u -16))))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (.f32 64 u) u -16)))))))
(cbrt.f32 (pow.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (.f32 64 u) u -16)))) 3))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s)) 3) (pow.f32 (fma.f32 u 8 -4) 3)))
(expm1.f32 (log1p.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (.f32 64 u) u -16))))))
(exp.f32 (log.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (.f32 64 u) u -16))))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (*.f32 64 u) u -16))))) 1))
(log1p.f32 (expm1.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (.f32 64 u) u -16))))))
(+.f32 (.f32 (.f32 s s) (.f32 64 (.f32 u u))) (.f32 (.f32 s s) -16))
(+.f32 (.f32 (.f32 s s) -16) (.f32 (.f32 s s) (.f32 64 (.f32 u u))))
(+.f32 (.f32 (.f32 64 (.f32 u u)) (.f32 s s)) (.f32 -16 (.f32 s s)))
(+.f32 (.f32 -16 (.f32 s s)) (.f32 (.f32 64 (.f32 u u)) (.f32 s s)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)))) 1)
(/.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) 1)
(/.f32 (.f32 (.f32 s s) (+.f32 (.f32 4096 (pow.f32 u 4)) -256)) (fma.f32 64 (.f32 u u) 16))
(/.f32 (.f32 (.f32 s s) (+.f32 (.f32 262144 (pow.f32 (.f32 u u) 3)) -4096)) (+.f32 256 (+.f32 (.f32 (.f32 u u) 1024) (*.f32 4096 (pow.f32 u 4)))))
(/.f32 (.f32 (+.f32 (.f32 4096 (pow.f32 u 4)) -256) (.f32 s s)) (fma.f32 64 (.f32 u u) 16))
(/.f32 (.f32 (+.f32 (.f32 262144 (pow.f32 (.f32 u u) 3)) -4096) (.f32 s s)) (+.f32 256 (+.f32 (.f32 (.f32 u u) 1024) (*.f32 4096 (pow.f32 u 4)))))
(pow.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) 1)
(pow.f32 (.f32 s (sqrt.f32 (fma.f32 (.f32 64 u) u -16))) 2)
(pow.f32 (cbrt.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16))) 3)
(pow.f32 (pow.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) 3) 1/3)
(sqrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 64 u) u -16) 2) (pow.f32 s 4)))
(log.f32 (pow.f32 (exp.f32 s) (.f32 s (fma.f32 (.f32 64 u) u -16))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)))))
(cbrt.f32 (pow.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) 3))
(cbrt.f32 (.f32 (pow.f32 (.f32 s s) 3) (pow.f32 (fma.f32 (*.f32 64 u) u -16) 3)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 64 u) u -16) 3) (pow.f32 (*.f32 s s) 3)))
(expm1.f32 (log1p.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16))))
(exp.f32 (log.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16))))
(exp.f32 (.f32 (log.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16))) 1))
(log1p.f32 (expm1.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16))))
(-.f32 (exp.f32 (log1p.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))))) 1)
(pow.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))) 1)
(pow.f32 (.f32 s (sqrt.f32 (.f32 u (fma.f32 (*.f32 64 u) u -16)))) 2)
(pow.f32 (cbrt.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16))))) 3)
(pow.f32 (pow.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))) 2))
(log.f32 (pow.f32 (exp.f32 u) (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))))))
(cbrt.f32 (pow.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))) 3))
(cbrt.f32 (.f32 (pow.f32 u 3) (pow.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) 3) (pow.f32 u 3)))
(expm1.f32 (log1p.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16))))))
(exp.f32 (log.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16))))))
(exp.f32 (.f32 (log.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (*.f32 64 u) u -16))))) 1))
(log1p.f32 (expm1.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16))))))

Outputs
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
(.f32 s (.f32 u (fma.f32 64 (*.f32 u u) -16)))
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
(.f32 s (.f32 u (fma.f32 64 (*.f32 u u) -16)))
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
(.f32 s (.f32 u (fma.f32 64 (*.f32 u u) -16)))
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
(.f32 s (.f32 u (fma.f32 64 (*.f32 u u) -16)))
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
(.f32 s (.f32 u (fma.f32 64 (*.f32 u u) -16)))
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
(.f32 s (.f32 u (fma.f32 64 (*.f32 u u) -16)))
(.f32 s (.f32 (-.f32 (*.f32 64 (pow.f32 u 2)) 16) u))
(.f32 s (.f32 u (fma.f32 64 (*.f32 u u) -16)))
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(.f32 (fma.f32 64 (.f32 u u) -16) (*.f32 u (/.f32 s (fma.f32 u 8 -4))))
(cbrt.f32 (pow.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (.f32 64 u) u -16)))) 3))
(/.f32 s (/.f32 (fma.f32 u 8 -4) (.f32 u (fma.f32 64 (.f32 u u) -16))))
(.f32 (fma.f32 64 (.f32 u u) -16) (*.f32 u (/.f32 s (fma.f32 u 8 -4))))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) (/.f32 u s)) 3) (pow.f32 (fma.f32 u 8 -4) 3)))
(cbrt.f32 (/.f32 (pow.f32 (.f32 u (/.f32 (.f32 s s) (/.f32 s (fma.f32 64 (*.f32 u u) -16)))) 3) (pow.f32 (fma.f32 u 8 -4) 3)))
(cbrt.f32 (/.f32 (pow.f32 (.f32 s (.f32 u (fma.f32 64 (*.f32 u u) -16))) 3) (pow.f32 (fma.f32 u 8 -4) 3)))
(expm1.f32 (log1p.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (.f32 64 u) u -16))))))
(/.f32 s (/.f32 (fma.f32 u 8 -4) (.f32 u (fma.f32 64 (.f32 u u) -16))))
(.f32 (fma.f32 64 (.f32 u u) -16) (*.f32 u (/.f32 s (fma.f32 u 8 -4))))
(exp.f32 (log.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (.f32 64 u) u -16))))))
(/.f32 s (/.f32 (fma.f32 u 8 -4) (.f32 u (fma.f32 64 (.f32 u u) -16))))
(.f32 (fma.f32 64 (.f32 u u) -16) (*.f32 u (/.f32 s (fma.f32 u 8 -4))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (*.f32 64 u) u -16))))) 1))
(/.f32 s (/.f32 (fma.f32 u 8 -4) (.f32 u (fma.f32 64 (.f32 u u) -16))))
(.f32 (fma.f32 64 (.f32 u u) -16) (*.f32 u (/.f32 s (fma.f32 u 8 -4))))
(log1p.f32 (expm1.f32 (/.f32 (.f32 s s) (/.f32 (.f32 s (fma.f32 u 8 -4)) (.f32 u (fma.f32 (.f32 64 u) u -16))))))
(/.f32 s (/.f32 (fma.f32 u 8 -4) (.f32 u (fma.f32 64 (.f32 u u) -16))))
(.f32 (fma.f32 64 (.f32 u u) -16) (*.f32 u (/.f32 s (fma.f32 u 8 -4))))
(+.f32 (.f32 (.f32 s s) (.f32 64 (.f32 u u))) (.f32 (.f32 s s) -16))
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(+.f32 (.f32 (.f32 s s) -16) (.f32 (.f32 s s) (.f32 64 (.f32 u u))))
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(+.f32 (.f32 (.f32 64 (.f32 u u)) (.f32 s s)) (.f32 -16 (.f32 s s)))
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(+.f32 (.f32 -16 (.f32 s s)) (.f32 (.f32 64 (.f32 u u)) (.f32 s s)))
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(-.f32 (exp.f32 (log1p.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)))) 1)
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(/.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) 1)
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(/.f32 (.f32 (.f32 s s) (+.f32 (.f32 4096 (pow.f32 u 4)) -256)) (fma.f32 64 (.f32 u u) 16))
(/.f32 (.f32 s s) (/.f32 (fma.f32 64 (.f32 u u) 16) (fma.f32 4096 (pow.f32 u 4) -256)))
(.f32 (/.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) 16)) (fma.f32 4096 (pow.f32 u 4) -256))
(/.f32 (.f32 (.f32 s s) (+.f32 (.f32 262144 (pow.f32 (.f32 u u) 3)) -4096)) (+.f32 256 (+.f32 (.f32 (.f32 u u) 1024) (*.f32 4096 (pow.f32 u 4)))))
(/.f32 (.f32 s s) (/.f32 (+.f32 256 (fma.f32 (.f32 u u) 1024 (.f32 4096 (pow.f32 u 4)))) (fma.f32 262144 (pow.f32 (.f32 u u) 3) -4096)))
(.f32 (/.f32 (.f32 s s) (+.f32 256 (fma.f32 (.f32 u u) 1024 (.f32 4096 (pow.f32 u 4))))) (fma.f32 262144 (pow.f32 u 6) -4096))
(/.f32 (.f32 (+.f32 (.f32 4096 (pow.f32 u 4)) -256) (.f32 s s)) (fma.f32 64 (.f32 u u) 16))
(/.f32 (.f32 s s) (/.f32 (fma.f32 64 (.f32 u u) 16) (fma.f32 4096 (pow.f32 u 4) -256)))
(.f32 (/.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) 16)) (fma.f32 4096 (pow.f32 u 4) -256))
(/.f32 (.f32 (+.f32 (.f32 262144 (pow.f32 (.f32 u u) 3)) -4096) (.f32 s s)) (+.f32 256 (+.f32 (.f32 (.f32 u u) 1024) (*.f32 4096 (pow.f32 u 4)))))
(/.f32 (.f32 s s) (/.f32 (+.f32 256 (fma.f32 (.f32 u u) 1024 (.f32 4096 (pow.f32 u 4)))) (fma.f32 262144 (pow.f32 (.f32 u u) 3) -4096)))
(.f32 (/.f32 (.f32 s s) (+.f32 256 (fma.f32 (.f32 u u) 1024 (.f32 4096 (pow.f32 u 4))))) (fma.f32 262144 (pow.f32 u 6) -4096))
(pow.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) 1)
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(pow.f32 (.f32 s (sqrt.f32 (fma.f32 (.f32 64 u) u -16))) 2)
(pow.f32 (.f32 s (sqrt.f32 (fma.f32 64 (.f32 u u) -16))) 2)
(pow.f32 (cbrt.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16))) 3)
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(pow.f32 (pow.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) 3) 1/3)
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(sqrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 64 u) u -16) 2) (pow.f32 s 4)))
(sqrt.f32 (.f32 (pow.f32 (fma.f32 64 (.f32 u u) -16) 2) (pow.f32 s 4)))
(log.f32 (pow.f32 (exp.f32 s) (.f32 s (fma.f32 (.f32 64 u) u -16))))
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)))))
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(cbrt.f32 (pow.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16)) 3))
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(cbrt.f32 (.f32 (pow.f32 (.f32 s s) 3) (pow.f32 (fma.f32 (*.f32 64 u) u -16) 3)))
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 64 u) u -16) 3) (pow.f32 (*.f32 s s) 3)))
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(expm1.f32 (log1p.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16))))
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(exp.f32 (log.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16))))
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(exp.f32 (.f32 (log.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16))) 1))
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(log1p.f32 (expm1.f32 (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16))))
(.f32 s (.f32 s (fma.f32 64 (*.f32 u u) -16)))
(.f32 (.f32 s s) (fma.f32 64 (*.f32 u u) -16))
(-.f32 (exp.f32 (log1p.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))))) 1)
(.f32 (.f32 s s) (.f32 u (fma.f32 64 (.f32 u u) -16)))
(pow.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))) 1)
(.f32 (.f32 s s) (.f32 u (fma.f32 64 (.f32 u u) -16)))
(pow.f32 (.f32 s (sqrt.f32 (.f32 u (fma.f32 (*.f32 64 u) u -16)))) 2)
(pow.f32 (.f32 s (sqrt.f32 (.f32 u (fma.f32 64 (*.f32 u u) -16)))) 2)
(pow.f32 (cbrt.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16))))) 3)
(.f32 (.f32 s s) (.f32 u (fma.f32 64 (.f32 u u) -16)))
(pow.f32 (pow.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))) 3) 1/3)
(.f32 (.f32 s s) (.f32 u (fma.f32 64 (.f32 u u) -16)))
(sqrt.f32 (pow.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))) 2))
(sqrt.f32 (pow.f32 (.f32 (.f32 s s) (.f32 u (fma.f32 64 (.f32 u u) -16))) 2))
(fabs.f32 (.f32 (.f32 s s) (.f32 u (fma.f32 64 (.f32 u u) -16))))
(log.f32 (pow.f32 (exp.f32 u) (.f32 (.f32 s s) (fma.f32 (*.f32 64 u) u -16))))
(.f32 (.f32 s s) (.f32 u (fma.f32 64 (.f32 u u) -16)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))))))
(.f32 (.f32 s s) (.f32 u (fma.f32 64 (.f32 u u) -16)))
(cbrt.f32 (pow.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16)))) 3))
(.f32 (.f32 s s) (.f32 u (fma.f32 64 (.f32 u u) -16)))
(cbrt.f32 (.f32 (pow.f32 u 3) (pow.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) 3)))
(.f32 (.f32 s s) (.f32 u (fma.f32 64 (.f32 u u) -16)))
(cbrt.f32 (.f32 (pow.f32 (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16)) 3) (pow.f32 u 3)))
(.f32 (.f32 s s) (.f32 u (fma.f32 64 (.f32 u u) -16)))
(expm1.f32 (log1p.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16))))))
(.f32 (.f32 s s) (.f32 u (fma.f32 64 (.f32 u u) -16)))
(exp.f32 (log.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16))))))
(.f32 (.f32 s s) (.f32 u (fma.f32 64 (.f32 u u) -16)))
(exp.f32 (.f32 (log.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (*.f32 64 u) u -16))))) 1))
(.f32 (.f32 s s) (.f32 u (fma.f32 64 (.f32 u u) -16)))
(log1p.f32 (expm1.f32 (.f32 s (.f32 s (.f32 u (fma.f32 (.f32 64 u) u -16))))))
(.f32 (.f32 s s) (.f32 u (fma.f32 64 (.f32 u u) -16)))

localize47.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f32 (+.f32 1 (*.f32 u -4)))
✓	0.3b	(.f32 s (.f32 (log.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4)))) -2))
✓	14.2b	(log.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4))))

Compiler

Compiled 48 to 39 computations (18.8% saved)

series25.0ms (0.2%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	s	@	0	(.f32 s (.f32 (log.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4)))) -2))
2.0ms	u	@	inf	(.f32 s (.f32 (log.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4)))) -2))
1.0ms	u	@	inf	(log.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4))))
1.0ms	s	@	inf	(.f32 s (.f32 (log.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4)))) -2))
0.0ms	u	@	-inf	(.f32 s (.f32 (log.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4)))) -2))

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`unswap-sqr`
790×	`swap-sqr`
562×	`distribute-rgt-in`
524×	`distribute-lft-in`
470×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	278	59
2	3245	59

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs
(log.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4))))
(.f32 s (.f32 (log.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4)))) -2))
(sqrt.f32 (+.f32 1 (*.f32 u -4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (log1p.f32 (*.f32 u -4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 1/2 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (log1p.f32 (*.f32 u -4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (log.f32 (cbrt.f32 (fma.f32 u -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (fma.f32 u -4 1))) (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (cbrt.f32 (fma.f32 u -4 1)))) (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4))) (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (cbrt.f32 (fma.f32 u -4 1)))) (*.f32 1 (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4))) (*.f32 1 (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (*.f32 1/2 (log1p.f32 (*.f32 u -4)))) (*.f32 1/2 (*.f32 1/2 (log1p.f32 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 2))) (*.f32 1/2 (log.f32 (cbrt.f32 (fma.f32 u -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 u -4 1))) 1) (*.f32 (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) 1) (*.f32 (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 1/2 (log1p.f32 (*.f32 u -4))) 1/2) (*.f32 (*.f32 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simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1410×	`unswap-sqr`
502×	`associate-l`
490×	`log-prod`
466×	`associate-r`
438×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	4087
1	753	3701
2	2650	3607

Stop Event

1×	node limit

Counts

137 → 181

Calls

Call 1

Inputs
(*.f32 -2 u)
(+.f32 (.f32 -4 (pow.f32 u 2)) (.f32 -2 u))
(+.f32 (.f32 -32/3 (pow.f32 u 3)) (+.f32 (.f32 -4 (pow.f32 u 2)) (*.f32 -2 u)))
(+.f32 (.f32 -32 (pow.f32 u 4)) (+.f32 (.f32 -32/3 (pow.f32 u 3)) (+.f32 (.f32 -4 (pow.f32 u 2)) (.f32 -2 u))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
(.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))))))
1
(+.f32 1 (*.f32 -2 u))
(+.f32 (.f32 -2 (pow.f32 u 2)) (+.f32 1 (.f32 -2 u)))
(+.f32 (.f32 -2 (pow.f32 u 2)) (+.f32 1 (+.f32 (.f32 -4 (pow.f32 u 3)) (*.f32 -2 u))))
(+.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) 0)
(+.f32 0 (.f32 1/2 (log1p.f32 (.f32 u -4))))
(+.f32 0 (.f32 (log1p.f32 (.f32 u -4)) 1/2))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (log.f32 (cbrt.f32 (fma.f32 u -4 1))))
(+.f32 (log.f32 (cbrt.f32 (fma.f32 u -4 1))) (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(+.f32 (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4)))
(+.f32 (+.f32 0 (log.f32 (cbrt.f32 (fma.f32 u -4 1)))) (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4))) (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4)))
(+.f32 (.f32 1 (log.f32 (cbrt.f32 (fma.f32 u -4 1)))) (.f32 1 (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))))))
(+.f32 (.f32 1 (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4))) (.f32 1 (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4))))
(+.f32 (.f32 1/2 (.f32 1/2 (log1p.f32 (.f32 u -4)))) (.f32 1/2 (.f32 1/2 (log1p.f32 (.f32 u -4)))))
(+.f32 (.f32 1/2 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 2))) (.f32 1/2 (log.f32 (cbrt.f32 (fma.f32 u -4 1)))))
(+.f32 (.f32 (log.f32 (cbrt.f32 (fma.f32 u -4 1))) 1) (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) 1))
(+.f32 (.f32 (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) 1) (.f32 (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) 1))
(+.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) 1/2) (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) 1/2))
(+.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 2)) 1/2) (.f32 (log.f32 (cbrt.f32 (fma.f32 u -4 1))) 1/2))
(-.f32 (exp.f32 (log1p.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))))) 1)
(.f32 1 (.f32 1/2 (log1p.f32 (*.f32 u -4))))
(.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4))) 1)
(.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) (sqrt.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4)))))
(.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4)))) 2))
(.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2) (cbrt.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4)))))
(.f32 1/2 (log1p.f32 (.f32 u -4)))
(*.f32 2 (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (cbrt.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (cbrt.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4)))) 2))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4)))) 2))))
(.f32 (.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) (sqrt.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))))) (.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) (sqrt.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4)))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2)) (cbrt.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2)) (cbrt.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4)))))))
(.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 3/2) (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4)))) 3/2))
(.f32 (pow.f32 (pow.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) 3) 1/6) (pow.f32 (pow.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4))) 3) 1/6))
(pow.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) 1)
(pow.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2)
(pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 3)
(pow.f32 (pow.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) 2))
(cbrt.f32 (pow.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) 3))
(expm1.f32 (log1p.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))))
(exp.f32 (log.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))))
(exp.f32 (.f32 (log.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4)))) 1))
(log1p.f32 (-.f32 (sqrt.f32 (fma.f32 u -4 1)) 1))
(+.f32 (.f32 (.f32 s -2) 0) (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (.f32 -2 s)))
(+.f32 (.f32 (.f32 s -2) (log.f32 (cbrt.f32 (fma.f32 u -4 1)))) (.f32 (.f32 s -2) (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))))))
(+.f32 (.f32 (.f32 s -2) (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4))) (.f32 (.f32 s -2) (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4))))
(+.f32 (.f32 0 (.f32 s -2)) (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (.f32 s -2)))
(+.f32 (.f32 (log.f32 (cbrt.f32 (fma.f32 u -4 1))) (.f32 s -2)) (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (.f32 s -2)))
(+.f32 (.f32 (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (.f32 s -2)) (.f32 (log.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (.f32 s -2)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (.f32 -2 s)))) 1)
(pow.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (.f32 -2 s)) 1)
(pow.f32 (sqrt.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (.f32 -2 s))) 2)
(pow.f32 (cbrt.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (.f32 -2 s))) 3)
(pow.f32 (pow.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (.f32 -2 s)) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (.f32 -2 s)) 2))
(log.f32 (pow.f32 (pow.f32 (sqrt.f32 (fma.f32 u -4 1)) -2) s))
(log.f32 (+.f32 1 (-.f32 (pow.f32 (pow.f32 (sqrt.f32 (fma.f32 u -4 1)) -2) s) 1)))
(cbrt.f32 (pow.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (.f32 -2 s)) 3))
(cbrt.f32 (.f32 (pow.f32 s 3) (pow.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) -2) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) -2) 3) (pow.f32 s 3)))
(expm1.f32 (log1p.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (.f32 -2 s))))
(exp.f32 (log.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (.f32 -2 s))))
(exp.f32 (.f32 (log.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (*.f32 -2 s))) 1))
(log1p.f32 (-.f32 (pow.f32 (pow.f32 (sqrt.f32 (fma.f32 u -4 1)) -2) s) 1))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 u -4 1)))) 1)
(*.f32 1 (sqrt.f32 (fma.f32 u -4 1)))
(*.f32 (sqrt.f32 (fma.f32 u -4 1)) 1)
(*.f32 (pow.f32 (fma.f32 u -4 1) 1/4) (pow.f32 (fma.f32 u -4 1) 1/4))
(*.f32 (cbrt.f32 (fma.f32 u -4 1)) (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))))
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (fma.f32 u -4 1)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (fma.f32 u -4 1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 1/2))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))))) (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (*.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1)))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1)))) (*.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1)))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) 3/2))
(*.f32 (pow.f32 (pow.f32 (fma.f32 u -4 1) 3/2) 1/6) (pow.f32 (pow.f32 (fma.f32 u -4 1) 3/2) 1/6))
(.f32 (pow.f32 (E.f32) (/.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) 2)) (pow.f32 (E.f32) (/.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4))) 2)))
(.f32 (pow.f32 (exp.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (/.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2)) (pow.f32 (exp.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (/.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4)))) 2)))
(.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2)) (/.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2)) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2)) (/.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4)))) 2)))
(/.f32 (sqrt.f32 (+.f32 1 (.f32 (.f32 u u) -16))) (sqrt.f32 (+.f32 1 (*.f32 u 4))))
(/.f32 (sqrt.f32 (+.f32 1 (pow.f32 (.f32 u -4) 3))) (sqrt.f32 (+.f32 1 (+.f32 (.f32 (.f32 u u) 16) (.f32 u 4)))))
(/.f32 (.f32 1 (sqrt.f32 (+.f32 1 (.f32 (.f32 u u) -16)))) (sqrt.f32 (+.f32 1 (.f32 u 4))))
(/.f32 (.f32 1 (sqrt.f32 (+.f32 1 (pow.f32 (.f32 u -4) 3)))) (sqrt.f32 (+.f32 1 (+.f32 (.f32 (.f32 u u) 16) (*.f32 u 4)))))
(/.f32 (.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (+.f32 1 (.f32 (.f32 u u) -16)))) (cbrt.f32 (+.f32 1 (.f32 u 4))))
(/.f32 (.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (+.f32 1 (pow.f32 (.f32 u -4) 3)))) (cbrt.f32 (+.f32 1 (+.f32 (.f32 (.f32 u u) 16) (*.f32 u 4)))))
(/.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 1 (.f32 (.f32 u u) -16)))) (sqrt.f32 (+.f32 1 (.f32 u 4))))
(/.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 1 (pow.f32 (.f32 u -4) 3)))) (sqrt.f32 (+.f32 1 (+.f32 (.f32 (.f32 u u) 16) (*.f32 u 4)))))
(/.f32 (.f32 (sqrt.f32 (+.f32 1 (.f32 (.f32 u u) -16))) 1) (sqrt.f32 (+.f32 1 (.f32 u 4))))
(/.f32 (.f32 (sqrt.f32 (+.f32 1 (pow.f32 (.f32 u -4) 3))) 1) (sqrt.f32 (+.f32 1 (+.f32 (.f32 (.f32 u u) 16) (*.f32 u 4)))))
(/.f32 (.f32 (cbrt.f32 (+.f32 1 (.f32 (.f32 u u) -16))) (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (cbrt.f32 (+.f32 1 (.f32 u 4))))
(/.f32 (.f32 (cbrt.f32 (+.f32 1 (pow.f32 (.f32 u -4) 3))) (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (cbrt.f32 (+.f32 1 (+.f32 (.f32 (.f32 u u) 16) (*.f32 u 4)))))
(pow.f32 (fma.f32 u -4 1) 1/2)
(pow.f32 (sqrt.f32 (fma.f32 u -4 1)) 1)
(pow.f32 (pow.f32 (fma.f32 u -4 1) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) 3)
(pow.f32 (pow.f32 (fma.f32 u -4 1) 3/2) 1/3)
(pow.f32 (E.f32) (.f32 1/2 (log1p.f32 (.f32 u -4))))
(pow.f32 (exp.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2)) (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))))
(fabs.f32 (sqrt.f32 (fma.f32 u -4 1)))
(log.f32 (exp.f32 (sqrt.f32 (fma.f32 u -4 1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(cbrt.f32 (pow.f32 (fma.f32 u -4 1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 u -4 1))))
(hypot.f32 1 (sqrt.f32 (*.f32 u -4)))
(exp.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))
(exp.f32 (.f32 (log1p.f32 (.f32 u -4)) 1/2))
(log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 u -4 1))))

Outputs
(*.f32 -2 u)
(+.f32 (.f32 -4 (pow.f32 u 2)) (.f32 -2 u))
(fma.f32 -4 (.f32 u u) (.f32 -2 u))
(fma.f32 -2 u (.f32 u (.f32 u -4)))
(.f32 u (+.f32 -2 (.f32 u -4)))
(+.f32 (.f32 -32/3 (pow.f32 u 3)) (+.f32 (.f32 -4 (pow.f32 u 2)) (*.f32 -2 u)))
(fma.f32 -32/3 (pow.f32 u 3) (fma.f32 -4 (.f32 u u) (.f32 -2 u)))
(fma.f32 -32/3 (pow.f32 u 3) (fma.f32 -2 u (.f32 u (.f32 u -4))))
(fma.f32 -32/3 (pow.f32 u 3) (.f32 u (+.f32 -2 (.f32 u -4))))
(+.f32 (.f32 -32 (pow.f32 u 4)) (+.f32 (.f32 -32/3 (pow.f32 u 3)) (+.f32 (.f32 -4 (pow.f32 u 2)) (.f32 -2 u))))
(fma.f32 -32 (pow.f32 u 4) (fma.f32 -32/3 (pow.f32 u 3) (fma.f32 -4 (.f32 u u) (.f32 -2 u))))
(fma.f32 -32 (pow.f32 u 4) (fma.f32 -32/3 (pow.f32 u 3) (fma.f32 -2 u (.f32 u (.f32 u -4)))))
(fma.f32 -32 (pow.f32 u 4) (fma.f32 -32/3 (pow.f32 u 3) (.f32 u (+.f32 -2 (.f32 u -4)))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 s (.f32 (log1p.f32 (*.f32 u -4)) -1))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 s (.f32 (log1p.f32 (*.f32 u -4)) -1))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 s (.f32 (log1p.f32 (*.f32 u -4)) -1))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (+.f32 (*.f32 -4 u) 1)))))
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(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 s (.f32 (log1p.f32 (*.f32 u -4)) -1))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(sqrt.f32 (pow.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (.f32 -2 s)) 2))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 s (.f32 (log1p.f32 (*.f32 u -4)) -1))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(log.f32 (pow.f32 (pow.f32 (sqrt.f32 (fma.f32 u -4 1)) -2) s))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 s (.f32 (log1p.f32 (*.f32 u -4)) -1))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(log.f32 (+.f32 1 (-.f32 (pow.f32 (pow.f32 (sqrt.f32 (fma.f32 u -4 1)) -2) s) 1)))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 s (.f32 (log1p.f32 (*.f32 u -4)) -1))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(cbrt.f32 (pow.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (.f32 -2 s)) 3))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 s (.f32 (log1p.f32 (*.f32 u -4)) -1))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(cbrt.f32 (.f32 (pow.f32 s 3) (pow.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) -2) 3)))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 s (.f32 (log1p.f32 (*.f32 u -4)) -1))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) -2) 3) (pow.f32 s 3)))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 s (.f32 (log1p.f32 (*.f32 u -4)) -1))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(expm1.f32 (log1p.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (.f32 -2 s))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 s (.f32 (log1p.f32 (*.f32 u -4)) -1))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(exp.f32 (log.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (.f32 -2 s))))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 s (.f32 (log1p.f32 (*.f32 u -4)) -1))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(exp.f32 (.f32 (log.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) (*.f32 -2 s))) 1))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 s (.f32 (log1p.f32 (*.f32 u -4)) -1))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(log1p.f32 (-.f32 (pow.f32 (pow.f32 (sqrt.f32 (fma.f32 u -4 1)) -2) s) 1))
(.f32 -2 (.f32 s (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 s (.f32 (log1p.f32 (*.f32 u -4)) -1))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 u -4 1)))) 1)
(sqrt.f32 (fma.f32 u -4 1))
(*.f32 1 (sqrt.f32 (fma.f32 u -4 1)))
(sqrt.f32 (fma.f32 u -4 1))
(*.f32 (sqrt.f32 (fma.f32 u -4 1)) 1)
(sqrt.f32 (fma.f32 u -4 1))
(*.f32 (pow.f32 (fma.f32 u -4 1) 1/4) (pow.f32 (fma.f32 u -4 1) 1/4))
(sqrt.f32 (fma.f32 u -4 1))
(*.f32 (cbrt.f32 (fma.f32 u -4 1)) (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))))
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (fma.f32 u -4 1)))
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (fma.f32 u -4 1)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))))
(*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))) (fabs.f32 (cbrt.f32 (fma.f32 u -4 1))))
(*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (fma.f32 u -4 1)))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (fma.f32 u -4 1)))
(sqrt.f32 (fma.f32 u -4 1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 1/2))
(*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4 1)) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))) (fabs.f32 (cbrt.f32 (fma.f32 u -4 1))))
(*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (fma.f32 u -4 1)))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))))) (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))))))
(sqrt.f32 (fma.f32 u -4 1))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4))))
(.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))) (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)))))
(.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (cbrt.f32 (fma.f32 u -4 1))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4))) (cbrt.f32 (fma.f32 u -4 1)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(sqrt.f32 (fma.f32 u -4 1))
(.f32 (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (*.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4))) (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4))))
(.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1)))))
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (fma.f32 u -4 1)))
(.f32 (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1)))) (*.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1)))))
(.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))) (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)))))
(.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (cbrt.f32 (fma.f32 u -4 1))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4)) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) 1/4))) (cbrt.f32 (fma.f32 u -4 1)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) 3/2))
(sqrt.f32 (fma.f32 u -4 1))
(*.f32 (pow.f32 (pow.f32 (fma.f32 u -4 1) 3/2) 1/6) (pow.f32 (pow.f32 (fma.f32 u -4 1) 3/2) 1/6))
(cbrt.f32 (pow.f32 (fma.f32 u -4 1) 3/2))
(.f32 (pow.f32 (E.f32) (/.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))) 2)) (pow.f32 (E.f32) (/.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4))) 2)))
(sqrt.f32 (fma.f32 u -4 1))
(.f32 (pow.f32 (exp.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (/.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2)) (pow.f32 (exp.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (/.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4)))) 2)))
(sqrt.f32 (fma.f32 u -4 1))
(.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2)) (/.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2)) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2)) (/.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (*.f32 u -4)))) 2)))
(sqrt.f32 (fma.f32 u -4 1))
(/.f32 (sqrt.f32 (+.f32 1 (.f32 (.f32 u u) -16))) (sqrt.f32 (+.f32 1 (*.f32 u 4))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 u u) -16 1)) (sqrt.f32 (fma.f32 u 4 1)))
(/.f32 (sqrt.f32 (fma.f32 u (*.f32 u -16) 1)) (sqrt.f32 (fma.f32 u 4 1)))
(/.f32 (sqrt.f32 (+.f32 1 (pow.f32 (.f32 u -4) 3))) (sqrt.f32 (+.f32 1 (+.f32 (.f32 (.f32 u u) 16) (.f32 u 4)))))
(/.f32 (sqrt.f32 (+.f32 1 (.f32 (pow.f32 u 3) -64))) (sqrt.f32 (+.f32 1 (fma.f32 (.f32 u u) 16 (*.f32 u 4)))))
(/.f32 (hypot.f32 1 (pow.f32 (.f32 u -4) 3/2)) (sqrt.f32 (+.f32 1 (.f32 u (+.f32 4 (*.f32 u 16))))))
(/.f32 (.f32 1 (sqrt.f32 (+.f32 1 (.f32 (.f32 u u) -16)))) (sqrt.f32 (+.f32 1 (.f32 u 4))))
(/.f32 (sqrt.f32 (+.f32 1 (.f32 (.f32 u u) -16))) (sqrt.f32 (+.f32 1 (*.f32 u 4))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 u u) -16 1)) (sqrt.f32 (fma.f32 u 4 1)))
(/.f32 (sqrt.f32 (fma.f32 u (*.f32 u -16) 1)) (sqrt.f32 (fma.f32 u 4 1)))
(/.f32 (.f32 1 (sqrt.f32 (+.f32 1 (pow.f32 (.f32 u -4) 3)))) (sqrt.f32 (+.f32 1 (+.f32 (.f32 (.f32 u u) 16) (*.f32 u 4)))))
(/.f32 (sqrt.f32 (+.f32 1 (.f32 (pow.f32 u 3) -64))) (sqrt.f32 (+.f32 1 (fma.f32 (.f32 u u) 16 (*.f32 u 4)))))
(/.f32 (hypot.f32 1 (pow.f32 (.f32 u -4) 3/2)) (sqrt.f32 (+.f32 1 (.f32 u (+.f32 4 (*.f32 u 16))))))
(/.f32 (.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (+.f32 1 (.f32 (.f32 u u) -16)))) (cbrt.f32 (+.f32 1 (.f32 u 4))))
(/.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (/.f32 (cbrt.f32 (+.f32 1 (.f32 u 4))) (cbrt.f32 (+.f32 1 (.f32 (*.f32 u u) -16)))))
(.f32 (/.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (fma.f32 u 4 1))) (cbrt.f32 (fma.f32 (.f32 u u) -16 1)))
(.f32 (/.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (fma.f32 u 4 1))) (cbrt.f32 (fma.f32 u (.f32 u -16) 1)))
(/.f32 (.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (+.f32 1 (pow.f32 (.f32 u -4) 3)))) (cbrt.f32 (+.f32 1 (+.f32 (.f32 (.f32 u u) 16) (*.f32 u 4)))))
(/.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (/.f32 (cbrt.f32 (+.f32 1 (fma.f32 (.f32 u u) 16 (.f32 u 4)))) (cbrt.f32 (+.f32 1 (*.f32 (pow.f32 u 3) -64)))))
(.f32 (/.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (+.f32 1 (.f32 u (+.f32 4 (*.f32 u 16)))))) (cbrt.f32 (fma.f32 (pow.f32 u 3) -64 1)))
(/.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 1 (.f32 (.f32 u u) -16)))) (sqrt.f32 (+.f32 1 (.f32 u 4))))
(/.f32 (sqrt.f32 (+.f32 1 (.f32 (.f32 u u) -16))) (sqrt.f32 (+.f32 1 (*.f32 u 4))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 u u) -16 1)) (sqrt.f32 (fma.f32 u 4 1)))
(/.f32 (sqrt.f32 (fma.f32 u (*.f32 u -16) 1)) (sqrt.f32 (fma.f32 u 4 1)))
(/.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 1 (pow.f32 (.f32 u -4) 3)))) (sqrt.f32 (+.f32 1 (+.f32 (.f32 (.f32 u u) 16) (*.f32 u 4)))))
(/.f32 (sqrt.f32 (+.f32 1 (.f32 (pow.f32 u 3) -64))) (sqrt.f32 (+.f32 1 (fma.f32 (.f32 u u) 16 (*.f32 u 4)))))
(/.f32 (hypot.f32 1 (pow.f32 (.f32 u -4) 3/2)) (sqrt.f32 (+.f32 1 (.f32 u (+.f32 4 (*.f32 u 16))))))
(/.f32 (.f32 (sqrt.f32 (+.f32 1 (.f32 (.f32 u u) -16))) 1) (sqrt.f32 (+.f32 1 (.f32 u 4))))
(/.f32 (sqrt.f32 (+.f32 1 (.f32 (.f32 u u) -16))) (sqrt.f32 (+.f32 1 (*.f32 u 4))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 u u) -16 1)) (sqrt.f32 (fma.f32 u 4 1)))
(/.f32 (sqrt.f32 (fma.f32 u (*.f32 u -16) 1)) (sqrt.f32 (fma.f32 u 4 1)))
(/.f32 (.f32 (sqrt.f32 (+.f32 1 (pow.f32 (.f32 u -4) 3))) 1) (sqrt.f32 (+.f32 1 (+.f32 (.f32 (.f32 u u) 16) (*.f32 u 4)))))
(/.f32 (sqrt.f32 (+.f32 1 (.f32 (pow.f32 u 3) -64))) (sqrt.f32 (+.f32 1 (fma.f32 (.f32 u u) 16 (*.f32 u 4)))))
(/.f32 (hypot.f32 1 (pow.f32 (.f32 u -4) 3/2)) (sqrt.f32 (+.f32 1 (.f32 u (+.f32 4 (*.f32 u 16))))))
(/.f32 (.f32 (cbrt.f32 (+.f32 1 (.f32 (.f32 u u) -16))) (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (cbrt.f32 (+.f32 1 (.f32 u 4))))
(/.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (/.f32 (cbrt.f32 (+.f32 1 (.f32 u 4))) (cbrt.f32 (+.f32 1 (.f32 (*.f32 u u) -16)))))
(.f32 (/.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (fma.f32 u 4 1))) (cbrt.f32 (fma.f32 (.f32 u u) -16 1)))
(.f32 (/.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (fma.f32 u 4 1))) (cbrt.f32 (fma.f32 u (.f32 u -16) 1)))
(/.f32 (.f32 (cbrt.f32 (+.f32 1 (pow.f32 (.f32 u -4) 3))) (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1)))) (cbrt.f32 (+.f32 1 (+.f32 (.f32 (.f32 u u) 16) (*.f32 u 4)))))
(/.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (/.f32 (cbrt.f32 (+.f32 1 (fma.f32 (.f32 u u) 16 (.f32 u 4)))) (cbrt.f32 (+.f32 1 (*.f32 (pow.f32 u 3) -64)))))
(.f32 (/.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) (cbrt.f32 (+.f32 1 (.f32 u (+.f32 4 (*.f32 u 16)))))) (cbrt.f32 (fma.f32 (pow.f32 u 3) -64 1)))
(pow.f32 (fma.f32 u -4 1) 1/2)
(sqrt.f32 (fma.f32 u -4 1))
(pow.f32 (sqrt.f32 (fma.f32 u -4 1)) 1)
(sqrt.f32 (fma.f32 u -4 1))
(pow.f32 (pow.f32 (fma.f32 u -4 1) 1/4) 2)
(sqrt.f32 (fma.f32 u -4 1))
(pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u -4 1))) 3)
(sqrt.f32 (fma.f32 u -4 1))
(pow.f32 (pow.f32 (fma.f32 u -4 1) 3/2) 1/3)
(cbrt.f32 (pow.f32 (fma.f32 u -4 1) 3/2))
(pow.f32 (E.f32) (.f32 1/2 (log1p.f32 (.f32 u -4))))
(sqrt.f32 (fma.f32 u -4 1))
(pow.f32 (exp.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))) (sqrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))))
(sqrt.f32 (fma.f32 u -4 1))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))) 2)) (cbrt.f32 (.f32 1/2 (log1p.f32 (.f32 u -4)))))
(sqrt.f32 (fma.f32 u -4 1))
(fabs.f32 (sqrt.f32 (fma.f32 u -4 1)))
(sqrt.f32 (fma.f32 u -4 1))
(log.f32 (exp.f32 (sqrt.f32 (fma.f32 u -4 1))))
(sqrt.f32 (fma.f32 u -4 1))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 u -4 1)))))
(sqrt.f32 (fma.f32 u -4 1))
(cbrt.f32 (pow.f32 (fma.f32 u -4 1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 u -4 1))))
(sqrt.f32 (fma.f32 u -4 1))
(hypot.f32 1 (sqrt.f32 (*.f32 u -4)))
(exp.f32 (.f32 1/2 (log1p.f32 (.f32 u -4))))
(sqrt.f32 (fma.f32 u -4 1))
(exp.f32 (.f32 (log1p.f32 (.f32 u -4)) 1/2))
(sqrt.f32 (fma.f32 u -4 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 u -4 1))))
(sqrt.f32 (fma.f32 u -4 1))

eval1.1s (8%)

Compiler: Compiled 40847 to 28374 computations (30.5% saved)

prune491.0ms (3.7%)

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	1466	9	1475
Fresh	12	14	26
Picked	0	1	1
Done	4	6	10
Total	1482	30	1512

Error

Counts

1512 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(pow.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 3)
	0.5b	(/.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 3) (/.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 2) s))
	13.4b	(/.f32 (/.f32 (.f32 (.f32 s (.f32 s -16)) u) s) (-.f32 (.f32 u 8) 4))
	13.8b	(/.f32 (/.f32 (.f32 -16 (.f32 u (.f32 s s))) s) (-.f32 (.f32 u 8) 4))
	12.3b	(/.f32 (.f32 (/.f32 u s) (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16))) (-.f32 (*.f32 u 8) 4))
	12.3b	(/.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) (/.f32 (.f32 s (+.f32 (.f32 u 8) -4)) u))
	3.4b	(/.f32 (.f32 (.f32 -16 s) u) (-.f32 (*.f32 u 8) 4))
	4.0b	(/.f32 (.f32 s (fma.f32 -64 (.f32 u u) 16)) (/.f32 (+.f32 4 (*.f32 u -8)) u))
	3.5b	(/.f32 (.f32 -16 (.f32 s u)) (-.f32 (*.f32 u 8) 4))
	0.4b	(/.f32 s (/.f32 1 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (*.f32 u -16))))))
▶	0.3b	(-.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))
	2.7b	(+.f32 (+.f32 (.f32 (.f32 64/3 s) (pow.f32 u 3)) (.f32 (.f32 u s) (.f32 u 8))) (.f32 (*.f32 u s) 4))
▶	2.8b	(+.f32 (.f32 (.f32 s 16) (.f32 u u)) (.f32 (log1p.f32 (*.f32 4 u)) s))
▶	3.5b	(.f32 (.f32 (/.f32 s 1) (/.f32 16 (-.f32 4 (*.f32 u 8)))) u)
	2.7b	(.f32 (.f32 u (-.f32 (.f32 (.f32 u u) -64/3) (fma.f32 u 8 4))) (neg.f32 s))
✓	8.4b	(.f32 (.f32 4 s) u)
✓	0.3b	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
	4.1b	(.f32 u (.f32 s (+.f32 (*.f32 u 8) 4)))
	0.5b	(.f32 s (pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (.f32 u -4)))) 2))
	2.9b	(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (.f32 u (.f32 u -16))))
✓	0.3b	(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
	4.0b	(.f32 s (+.f32 (.f32 4 u) (.f32 8 (.f32 u u))))
▶	4.1b	(.f32 s (.f32 (+.f32 4 (*.f32 8 u)) u))
✓	12.4b	(.f32 s (.f32 (log.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4)))) -2))
▶	13.3b	(.f32 s (.f32 2 (log.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2))))
✓	12.4b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
	12.5b	(.f32 s (log.f32 (.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 u -4) 3))) (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u)))))))
✓	1.4b	(.f32 s (exp.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))
✓	8.5b	(.f32 4 (.f32 u s))
	2.8b	(exp.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))

Compiler

Compiled 816 to 610 computations (25.2% saved)

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 37 computations (33.9% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite129.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`distribute-rgt-in`
750×	`distribute-lft-in`
550×	`associate-*r/`
438×	`associate-*l/`
360×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	85
1	318	79
2	3944	79

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

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

Outputs

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

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

simplify173.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1488×	`fma-def`
894×	`associate-r`
744×	`associate-l`
728×	`+-commutative`
616×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	684	22749
1	2067	20557

Stop Event

1×	node limit

Counts

309 → 402

Calls

Call 1

Inputs
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 -1 (.f32 s (-.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2))))))))
(.f32 -1 (.f32 s (-.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2))))))))
(.f32 -1 (.f32 s (-.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2))))))))
(.f32 -1 (.f32 s (-.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (.f32 -1 (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2))))))))
(.f32 4 (.f32 s u))
(+.f32 (.f32 (-.f32 (.f32 -8 s) (.f32 -16 s)) (pow.f32 u 2)) (.f32 4 (*.f32 s u)))
(+.f32 (.f32 (-.f32 (.f32 -8 s) (.f32 -16 s)) (pow.f32 u 2)) (+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 4 (*.f32 s u))))
(+.f32 (.f32 (-.f32 (.f32 -8 s) (.f32 -16 s)) (pow.f32 u 2)) (+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 (pow.f32 u 4) (-.f32 (.f32 -64 s) (.f32 -128 s))))))
(-.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u))))))
(-.f32 (+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (.f32 1/4 (/.f32 s u))) (.f32 s (+.f32 (log.f32 -16) (*.f32 -2 (log.f32 (/.f32 1 u))))))
(-.f32 (+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (.f32 1/4 (/.f32 s u)))) (+.f32 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u))))) (*.f32 -1/16 (/.f32 s (pow.f32 u 2)))))
(-.f32 (+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 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 1/4 (/.f32 s u))))) (+.f32 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u))))) (.f32 -1/16 (/.f32 s (pow.f32 u 2)))))
(-.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))) (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16))))
(-.f32 (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))) (.f32 s (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16))))
(-.f32 (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))) (+.f32 (.f32 -1/16 (/.f32 s (pow.f32 u 2))) (.f32 s (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))))
(-.f32 (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))))) (+.f32 (.f32 -1/16 (/.f32 s (pow.f32 u 2))) (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))))
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.f32 4 u))) s)
(.f32 (log.f32 (+.f32 1 (.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 (.f32 -64 (.f32 s (pow.f32 u 4))) (.f32 -8 (.f32 s (pow.f32 u 2))))))
(.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4)))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (*.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (*.f32 1/4 (/.f32 s u)))))
(.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))
(+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))
(+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))))
(+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))))
(.f32 -16 (.f32 s (pow.f32 u 2)))
(+.f32 (.f32 -128 (.f32 s (pow.f32 u 4))) (.f32 -16 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 -128 (.f32 s (pow.f32 u 4))) (+.f32 (.f32 -4096/3 (.f32 s (pow.f32 u 6))) (.f32 -16 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 -128 (.f32 s (pow.f32 u 4))) (+.f32 (.f32 -16384 (.f32 s (pow.f32 u 8))) (+.f32 (.f32 -4096/3 (.f32 s (pow.f32 u 6))) (.f32 -16 (.f32 s (pow.f32 u 2))))))
(.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u)))))
(+.f32 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u))))) (*.f32 -1/16 (/.f32 s (pow.f32 u 2))))
(+.f32 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u))))) (+.f32 (.f32 -1/16 (/.f32 s (pow.f32 u 2))) (.f32 -1/512 (/.f32 s (pow.f32 u 4)))))
(+.f32 (.f32 -1/12288 (/.f32 s (pow.f32 u 6))) (+.f32 (.f32 s (+.f32 (log.f32 -16) (.f32 -2 (log.f32 (/.f32 1 u))))) (+.f32 (.f32 -1/16 (/.f32 s (pow.f32 u 2))) (*.f32 -1/512 (/.f32 s (pow.f32 u 4))))))
(.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16)))
(+.f32 (.f32 -1/16 (/.f32 s (pow.f32 u 2))) (.f32 s (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16))))
(+.f32 (.f32 -1/16 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16))) (.f32 -1/512 (/.f32 s (pow.f32 u 4)))))
(+.f32 (.f32 -1/12288 (/.f32 s (pow.f32 u 6))) (+.f32 (.f32 -1/16 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 s (+.f32 (.f32 -2 (log.f32 (/.f32 -1 u))) (log.f32 -16))) (*.f32 -1/512 (/.f32 s (pow.f32 u 4))))))
(.f32 s (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))
(.f32 s (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))
(.f32 s (log.f32 (+.f32 1 (.f32 -16 (pow.f32 u 2)))))
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(/.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))) 2) (cbrt.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 3)))) (cbrt.f32 (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 s (.f32 s (log1p.f32 (.f32 -16 (.f32 u u))))) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 3)) 1) (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 s (.f32 s (log1p.f32 (.f32 -16 (.f32 u u))))) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 (log1p.f32 (.f32 -16 (.f32 u u))) (neg.f32 s)) (.f32 (log1p.f32 (.f32 -16 (.f32 u u))) (neg.f32 s)))) 1) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (neg.f32 (log1p.f32 (.f32 -16 (.f32 u u)))))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))) 2) (.f32 (.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 0) (.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 0))) 1) (-.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))) (.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 0)))
(/.f32 (.f32 (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 (log1p.f32 (.f32 -16 (.f32 u u))) (neg.f32 s)) 3)) 1) (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (-.f32 (.f32 (.f32 (log1p.f32 (.f32 -16 (.f32 u u))) (neg.f32 s)) (.f32 (log1p.f32 (.f32 -16 (.f32 u u))) (neg.f32 s))) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 (log1p.f32 (.f32 -16 (*.f32 u u))) (neg.f32 s))))))
(/.f32 (.f32 (+.f32 (pow.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))) 3) (pow.f32 (.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 0) 3)) 1) (+.f32 (pow.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))) 2) (-.f32 (.f32 (.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 0) (.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 0)) (.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))) (.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u)))) 0)))))
(/.f32 (.f32 (neg.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 2))) 1) (neg.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))))
(/.f32 (.f32 (neg.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 3))) 1) (neg.f32 (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 s (.f32 s (log1p.f32 (.f32 -16 (.f32 u u))))) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 2))) (sqrt.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))))) (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 3))) (sqrt.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))))) (sqrt.f32 (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 s (.f32 s (log1p.f32 (.f32 -16 (.f32 u u))))) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))))))
(/.f32 (.f32 (cbrt.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 2))) (pow.f32 (cbrt.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))) 2)) (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))))
(/.f32 (.f32 (cbrt.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 3))) (pow.f32 (cbrt.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))) 2)) (cbrt.f32 (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 s (.f32 s (log1p.f32 (.f32 -16 (.f32 u u))))) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2)) (.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 2) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 2))) (/.f32 (/.f32 1 s) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))) (.f32 (.f32 s s) (+.f32 (pow.f32 (log1p.f32 (.f32 u 4)) 2) (pow.f32 (log1p.f32 (.f32 -16 (*.f32 u u))) 2))))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) 3) (pow.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 2) 3)) (/.f32 (/.f32 1 s) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))) (+.f32 (.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2)) (.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 2) (.f32 (.f32 s s) (+.f32 (pow.f32 (log1p.f32 (.f32 u 4)) 2) (pow.f32 (log1p.f32 (.f32 -16 (*.f32 u u))) 2))))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 3))) (/.f32 1 (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 s (.f32 s (log1p.f32 (.f32 -16 (.f32 u u))))) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))))) (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 3)))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) 3) (pow.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 3) 3)) (/.f32 1 (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 s (.f32 s (log1p.f32 (.f32 -16 (.f32 u u))))) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))))) (+.f32 (.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 3) (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 3)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 2)) s) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 2)) 1) (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (*.f32 u u))))))
(/.f32 (/.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 2)) (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))))) (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (*.f32 u u)))))))
(/.f32 (/.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 2)) (.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))) (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))))) (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))))
(/.f32 (/.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 3)) 1) (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 s (.f32 s (log1p.f32 (.f32 -16 (.f32 u u))))) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (*.f32 u u)))))))
(/.f32 (/.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 3)) (sqrt.f32 (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 s (.f32 s (log1p.f32 (.f32 -16 (.f32 u u))))) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))))) (sqrt.f32 (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 s (.f32 s (log1p.f32 (.f32 -16 (.f32 u u))))) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (*.f32 u u))))))))
(/.f32 (/.f32 (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 3)) (.f32 (cbrt.f32 (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 s (.f32 s (log1p.f32 (.f32 -16 (.f32 u u))))) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))))) (cbrt.f32 (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 s (.f32 s (log1p.f32 (.f32 -16 (.f32 u u))))) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))))))) (cbrt.f32 (+.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 s (.f32 s (log1p.f32 (.f32 -16 (.f32 u u))))) (+.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))))))
(pow.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))) 1)
(pow.f32 (sqrt.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))) 2)
(pow.f32 (cbrt.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))) 3)
(pow.f32 (pow.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))) 2))
(log.f32 (exp.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))))))
(cbrt.f32 (pow.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))) 3))
(expm1.f32 (log1p.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))))
(exp.f32 (log.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))))
(exp.f32 (.f32 (log.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (*.f32 u u)))))) 1))
(log1p.f32 (expm1.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))))
(fma.f32 s (log1p.f32 (.f32 u 4)) (.f32 (log1p.f32 (.f32 -16 (.f32 u u))) (neg.f32 s)))
(fma.f32 (log1p.f32 (.f32 u 4)) s (.f32 (log1p.f32 (.f32 -16 (.f32 u u))) (neg.f32 s)))
(fma.f32 1 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 (log1p.f32 (.f32 -16 (*.f32 u u))) (neg.f32 s)))
(fma.f32 1 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u))))) (.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 0))
(fma.f32 (sqrt.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))) (sqrt.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))) (.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 0))
(fma.f32 (sqrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) (sqrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) (.f32 (log1p.f32 (.f32 -16 (*.f32 u u))) (neg.f32 s)))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))) 2) (cbrt.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (log1p.f32 (.f32 -16 (.f32 u u)))))) (.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u)))) 0))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) 2) (cbrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) (.f32 (log1p.f32 (.f32 -16 (*.f32 u u))) (neg.f32 s)))
(-.f32 (exp.f32 (log1p.f32 (.f32 s (log1p.f32 (.f32 u 4))))) 1)
(pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 1)
(pow.f32 (sqrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) 2)
(pow.f32 (cbrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) 3)
(pow.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2))
(log.f32 (pow.f32 (+.f32 (*.f32 u 4) 1) s))
(log.f32 (+.f32 1 (expm1.f32 (.f32 s (log1p.f32 (.f32 u 4))))))
(cbrt.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3))
(expm1.f32 (log1p.f32 (.f32 s (log1p.f32 (.f32 u 4)))))
(exp.f32 (log.f32 (.f32 s (log1p.f32 (.f32 u 4)))))
(exp.f32 (.f32 (log.f32 (.f32 s (log1p.f32 (*.f32 u 4)))) 1))
(log1p.f32 (expm1.f32 (.f32 s (log1p.f32 (.f32 u 4)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u)))))) 1)
(pow.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u)))) 1)
(pow.f32 (sqrt.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u))))) 2)
(pow.f32 (cbrt.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u))))) 3)
(pow.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u)))) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u)))) 2))
(log.f32 (pow.f32 (+.f32 (.f32 -16 (.f32 u u)) 1) s))
(log.f32 (+.f32 1 (expm1.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u)))))))
(cbrt.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u)))) 3))
(expm1.f32 (log1p.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u))))))
(exp.f32 (log.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u))))))
(exp.f32 (.f32 (log.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u))))) 1))
(log1p.f32 (expm1.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u))))))

Outputs
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 (.f32 -16 u) u))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 (.f32 -16 u) u))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 (.f32 -16 u) u))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 (.f32 -16 u) u))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
(.f32 s (-.f32 (log.f32 (+.f32 1 (.f32 4 u))) (log.f32 (+.f32 1 (*.f32 -16 (pow.f32 u 2))))))
(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 (.f32 -16 u) u))))
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(log.f32 (+.f32 1 (expm1.f32 (.f32 s (log1p.f32 (.f32 u 4))))))
(.f32 s (log1p.f32 (.f32 4 u)))
(cbrt.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3))
(.f32 s (log1p.f32 (.f32 4 u)))
(expm1.f32 (log1p.f32 (.f32 s (log1p.f32 (.f32 u 4)))))
(.f32 s (log1p.f32 (.f32 4 u)))
(exp.f32 (log.f32 (.f32 s (log1p.f32 (.f32 u 4)))))
(.f32 s (log1p.f32 (.f32 4 u)))
(exp.f32 (.f32 (log.f32 (.f32 s (log1p.f32 (*.f32 u 4)))) 1))
(.f32 s (log1p.f32 (.f32 4 u)))
(log1p.f32 (expm1.f32 (.f32 s (log1p.f32 (.f32 u 4)))))
(.f32 s (log1p.f32 (.f32 4 u)))
(-.f32 (exp.f32 (log1p.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u)))))) 1)
(.f32 s (log1p.f32 (.f32 (*.f32 -16 u) u)))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(pow.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u)))) 1)
(.f32 s (log1p.f32 (.f32 (*.f32 -16 u) u)))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(pow.f32 (sqrt.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u))))) 2)
(.f32 s (log1p.f32 (.f32 (*.f32 -16 u) u)))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(pow.f32 (cbrt.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u))))) 3)
(.f32 s (log1p.f32 (.f32 (*.f32 -16 u) u)))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(pow.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u)))) 3) 1/3)
(.f32 s (log1p.f32 (.f32 (*.f32 -16 u) u)))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(sqrt.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u)))) 2))
(sqrt.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 (*.f32 -16 u) u))) 2))
(fabs.f32 (.f32 s (log1p.f32 (.f32 u (*.f32 u -16)))))
(log.f32 (pow.f32 (+.f32 (.f32 -16 (.f32 u u)) 1) s))
(.f32 s (log1p.f32 (.f32 (*.f32 -16 u) u)))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u)))))))
(.f32 s (log1p.f32 (.f32 (*.f32 -16 u) u)))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(cbrt.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u)))) 3))
(.f32 s (log1p.f32 (.f32 (*.f32 -16 u) u)))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(expm1.f32 (log1p.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u))))))
(.f32 s (log1p.f32 (.f32 (*.f32 -16 u) u)))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(exp.f32 (log.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u))))))
(.f32 s (log1p.f32 (.f32 (*.f32 -16 u) u)))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(exp.f32 (.f32 (log.f32 (.f32 s (log1p.f32 (.f32 -16 (.f32 u u))))) 1))
(.f32 s (log1p.f32 (.f32 (*.f32 -16 u) u)))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))
(log1p.f32 (expm1.f32 (.f32 s (log1p.f32 (.f32 -16 (*.f32 u u))))))
(.f32 s (log1p.f32 (.f32 (*.f32 -16 u) u)))
(.f32 s (log1p.f32 (.f32 u (*.f32 u -16))))

localize27.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 21 computations (30% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`*-commutative`
764×	`unswap-sqr`
632×	`associate-*r/`
608×	`swap-sqr`
512×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	213	36
2	2629	36

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

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(+.f32 16 (*.f32 -32 u))) u))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (+.f32 64 (*.f32 (pow.f32 u 3) 512))) (+.f32 (*.f32 (*.f32 u u) 64) (+.f32 16 (*.f32 -32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (+.f32 16 (*.f32 (*.f32 u u) -64))) (+.f32 4 (*.f32 u -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (-.f32 (*.f32 (*.f32 u u) 64) 16)) (-.f32 (*.f32 8 u) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (+.f32 -16 (neg.f32 (*.f32 (*.f32 u u) -64)))) (+.f32 -4 (neg.f32 (*.f32 u -8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (+.f32 -64 (neg.f32 (*.f32 (pow.f32 u 3) 512)))) (+.f32 -16 (neg.f32 (+.f32 (*.f32 (*.f32 u u) 64) (*.f32 -32 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 u (+.f32 16 (*.f32 (*.f32 u u) -64)))) (+.f32 4 (*.f32 u -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 u (+.f32 64 (*.f32 (pow.f32 u 3) 512)))) (+.f32 (*.f32 (*.f32 u u) 64) (+.f32 16 (*.f32 -32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u (sqrt.f32 (fma.f32 8 u 4))) (sqrt.f32 (+.f32 16 (*.f32 (*.f32 u u) -64)))) (sqrt.f32 (+.f32 4 (*.f32 u -8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u (sqrt.f32 (fma.f32 8 u 4))) (sqrt.f32 (+.f32 64 (*.f32 (pow.f32 u 3) 512)))) (sqrt.f32 (+.f32 (*.f32 (*.f32 u u) 64) (+.f32 16 (*.f32 -32 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u (pow.f32 (cbrt.f32 (fma.f32 8 u 4)) 2)) (cbrt.f32 (+.f32 16 (*.f32 (*.f32 u u) -64)))) (cbrt.f32 (+.f32 4 (*.f32 u -8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u (pow.f32 (cbrt.f32 (fma.f32 8 u 4)) 2)) (cbrt.f32 (+.f32 64 (*.f32 (pow.f32 u 3) 512)))) (cbrt.f32 (+.f32 (*.f32 (*.f32 u u) 64) (+.f32 16 (*.f32 -32 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (*.f32 u u) 64) 16) u) (-.f32 (*.f32 8 u) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 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16 (*.f32 -32 u)))) (cbrt.f32 (+.f32 (*.f32 (*.f32 u u) 64) (+.f32 16 (*.f32 -32 u)))))) (cbrt.f32 (+.f32 (*.f32 (*.f32 u u) 64) (+.f32 16 (*.f32 -32 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 u (*.f32 8 u)) (*.f32 u (*.f32 8 u))) (*.f32 (*.f32 4 u) (*.f32 4 u))) (-.f32 (*.f32 u (*.f32 8 u)) (*.f32 4 u)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 4 u) (*.f32 4 u)) (*.f32 (*.f32 u (*.f32 8 u)) (*.f32 u (*.f32 8 u)))) (-.f32 (*.f32 4 u) (*.f32 u (*.f32 8 u))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u (fma.f32 8 u 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u (fma.f32 8 u 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u (fma.f32 8 u 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u (fma.f32 8 u 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 u (fma.f32 8 u 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u) (fma.f32 8 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u (fma.f32 8 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u (fma.f32 8 u 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u 3) (pow.f32 (fma.f32 8 u 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u (fma.f32 8 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u (fma.f32 8 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u (fma.f32 8 u 4))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (*.f32 4 s)) (*.f32 u (*.f32 (*.f32 8 u) s)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (*.f32 (*.f32 8 u) s)) (*.f32 u (*.f32 4 s)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 s (*.f32 u (*.f32 8 u))) (*.f32 s (*.f32 4 u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 s (*.f32 4 u)) (*.f32 s (*.f32 u (*.f32 8 u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u s) 4) (*.f32 (*.f32 u s) (*.f32 8 u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u s) (*.f32 8 u)) (*.f32 (*.f32 u s) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 4 s) u) (*.f32 (*.f32 (*.f32 8 u) s) u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (*.f32 8 u) s) u) (*.f32 (*.f32 4 s) u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u (*.f32 8 u)) s) (*.f32 (*.f32 4 u) s))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 4 u) s) (*.f32 (*.f32 u (*.f32 8 u)) s))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 4 (*.f32 u s)) (*.f32 (*.f32 8 u) (*.f32 u s)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 8 u) (*.f32 u s)) (*.f32 4 (*.f32 u s)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u (*.f32 (fma.f32 8 u 4) s)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (*.f32 s (+.f32 16 (*.f32 (*.f32 u u) -64)))) (+.f32 4 (*.f32 u -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (*.f32 s (+.f32 64 (*.f32 (pow.f32 u 3) 512)))) (+.f32 (*.f32 (*.f32 u u) 64) (+.f32 16 (*.f32 -32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 s (*.f32 u (+.f32 16 (*.f32 (*.f32 u u) -64)))) (+.f32 4 (*.f32 u -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 s (*.f32 u (+.f32 64 (*.f32 (pow.f32 u 3) 512)))) (+.f32 (*.f32 (*.f32 u u) 64) (+.f32 16 (*.f32 -32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u s) 1) (/.f32 1 (fma.f32 8 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u s) (+.f32 16 (*.f32 (*.f32 u u) -64))) (+.f32 4 (*.f32 u -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u s) (+.f32 64 (*.f32 (pow.f32 u 3) 512))) (+.f32 (*.f32 (*.f32 u u) 64) (+.f32 16 (*.f32 -32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u s) (-.f32 (*.f32 (*.f32 u u) 64) 16)) (-.f32 (*.f32 8 u) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u s) (+.f32 -16 (neg.f32 (*.f32 (*.f32 u u) -64)))) (+.f32 -4 (neg.f32 (*.f32 u -8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u s) (+.f32 -64 (neg.f32 (*.f32 (pow.f32 u 3) 512)))) (+.f32 -16 (neg.f32 (+.f32 (*.f32 (*.f32 u u) 64) (*.f32 -32 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 u s)) (/.f32 1 (fma.f32 8 u 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 16 (*.f32 (*.f32 u u) -64)) (*.f32 u s)) (+.f32 4 (*.f32 u -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 64 (*.f32 (pow.f32 u 3) 512)) (*.f32 u s)) (+.f32 (*.f32 (*.f32 u u) 64) (+.f32 16 (*.f32 -32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (*.f32 u u) 64) 16) (*.f32 u s)) (-.f32 (*.f32 8 u) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 -16 (neg.f32 (*.f32 (*.f32 u u) -64))) (*.f32 u s)) (+.f32 -4 (neg.f32 (*.f32 u -8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 -64 (neg.f32 (*.f32 (pow.f32 u 3) 512))) (*.f32 u s)) (+.f32 -16 (neg.f32 (+.f32 (*.f32 (*.f32 u u) 64) (*.f32 -32 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u (+.f32 16 (*.f32 (*.f32 u u) -64))) s) (+.f32 4 (*.f32 u -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u (+.f32 64 (*.f32 (pow.f32 u 3) 512))) s) (+.f32 (*.f32 (*.f32 u u) 64) (+.f32 16 (*.f32 -32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 s (+.f32 16 (*.f32 (*.f32 u u) -64))) u) (+.f32 4 (*.f32 u -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 s (+.f32 64 (*.f32 (pow.f32 u 3) 512))) u) (+.f32 (*.f32 (*.f32 u u) 64) (+.f32 16 (*.f32 -32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u (*.f32 (fma.f32 8 u 4) s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u (*.f32 (fma.f32 8 u 4) s))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u (*.f32 (fma.f32 8 u 4) s))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u (*.f32 (fma.f32 8 u 4) s)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 u (*.f32 (fma.f32 8 u 4) s)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u) (fma.f32 8 u 4)) s))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u (*.f32 (fma.f32 8 u 4) s)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u (*.f32 (fma.f32 8 u 4) s)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 u (fma.f32 8 u 4)) 3) (pow.f32 s 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u (*.f32 (fma.f32 8 u 4) s))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u (*.f32 (fma.f32 8 u 4) s))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u (*.f32 (fma.f32 8 u 4) s))))))))

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1538×	`associate-/l*`
1024×	`associate-/r*`
908×	`distribute-lft-in`
872×	`distribute-rgt-in`
806×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	4425
1	740	3501
2	2822	3481

Stop Event

1×	node limit

Counts

117 → 155

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 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 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 (.f32 u (.f32 8 u)) (*.f32 4 u))
(+.f32 (.f32 4 u) (.f32 u (*.f32 8 u)))
(+.f32 (.f32 1 (.f32 u (.f32 8 u))) (.f32 1 (*.f32 4 u)))
(+.f32 (.f32 1 (.f32 4 u)) (.f32 1 (.f32 u (*.f32 8 u))))
(+.f32 (.f32 (.f32 u (.f32 8 u)) 1) (.f32 (*.f32 4 u) 1))
(+.f32 (.f32 (.f32 4 u) 1) (.f32 (.f32 u (*.f32 8 u)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u (fma.f32 8 u 4)))) 1)
(/.f32 u (/.f32 1 (fma.f32 8 u 4)))
(/.f32 (+.f32 16 (.f32 (.f32 u u) -64)) (/.f32 (+.f32 4 (*.f32 u -8)) u))
(/.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) (/.f32 (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))) u))
(/.f32 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512))) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (*.f32 -32 u))))
(/.f32 (.f32 u (+.f32 16 (.f32 (.f32 u u) -64))) (+.f32 4 (.f32 u -8)))
(/.f32 (.f32 u (-.f32 (.f32 (.f32 u u) 64) 16)) (-.f32 (.f32 8 u) 4))
(/.f32 (.f32 u (+.f32 -16 (neg.f32 (.f32 (.f32 u u) -64)))) (+.f32 -4 (neg.f32 (.f32 u -8))))
(/.f32 (.f32 u (+.f32 -64 (neg.f32 (.f32 (pow.f32 u 3) 512)))) (+.f32 -16 (neg.f32 (+.f32 (.f32 (.f32 u u) 64) (*.f32 -32 u)))))
(/.f32 (.f32 1 (.f32 u (+.f32 16 (.f32 (.f32 u u) -64)))) (+.f32 4 (*.f32 u -8)))
(/.f32 (.f32 1 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512)))) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))))
(/.f32 (.f32 (.f32 u (sqrt.f32 (fma.f32 8 u 4))) (sqrt.f32 (+.f32 16 (.f32 (.f32 u u) -64)))) (sqrt.f32 (+.f32 4 (*.f32 u -8))))
(/.f32 (.f32 (.f32 u (sqrt.f32 (fma.f32 8 u 4))) (sqrt.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)))) (sqrt.f32 (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u)))))
(/.f32 (.f32 (.f32 u (pow.f32 (cbrt.f32 (fma.f32 8 u 4)) 2)) (cbrt.f32 (+.f32 16 (.f32 (.f32 u u) -64)))) (cbrt.f32 (+.f32 4 (*.f32 u -8))))
(/.f32 (.f32 (.f32 u (pow.f32 (cbrt.f32 (fma.f32 8 u 4)) 2)) (cbrt.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)))) (cbrt.f32 (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u)))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 u u) 64) 16) u) (-.f32 (.f32 8 u) 4))
(/.f32 (.f32 (+.f32 -16 (neg.f32 (.f32 (.f32 u u) -64))) u) (+.f32 -4 (neg.f32 (.f32 u -8))))
(/.f32 (.f32 (+.f32 -64 (neg.f32 (.f32 (pow.f32 u 3) 512))) u) (+.f32 -16 (neg.f32 (+.f32 (.f32 (.f32 u u) 64) (*.f32 -32 u)))))
(/.f32 (.f32 (.f32 u (+.f32 16 (.f32 (.f32 u u) -64))) 1) (+.f32 4 (*.f32 u -8)))
(/.f32 (.f32 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512))) 1) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))))
(/.f32 (.f32 (sqrt.f32 (+.f32 16 (.f32 (.f32 u u) -64))) (.f32 u (sqrt.f32 (fma.f32 8 u 4)))) (sqrt.f32 (+.f32 4 (*.f32 u -8))))
(/.f32 (.f32 (sqrt.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512))) (.f32 u (sqrt.f32 (fma.f32 8 u 4)))) (sqrt.f32 (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u)))))
(/.f32 (/.f32 (.f32 u (+.f32 16 (.f32 (.f32 u u) -64))) 1) (+.f32 4 (.f32 u -8)))
(/.f32 (/.f32 (.f32 u (+.f32 16 (.f32 (.f32 u u) -64))) (sqrt.f32 (+.f32 4 (.f32 u -8)))) (sqrt.f32 (+.f32 4 (*.f32 u -8))))
(/.f32 (/.f32 (.f32 u (+.f32 16 (.f32 (.f32 u u) -64))) (.f32 (cbrt.f32 (+.f32 4 (.f32 u -8))) (cbrt.f32 (+.f32 4 (.f32 u -8))))) (cbrt.f32 (+.f32 4 (*.f32 u -8))))
(/.f32 (/.f32 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512))) 1) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (*.f32 -32 u))))
(/.f32 (/.f32 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512))) (sqrt.f32 (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))))) (sqrt.f32 (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u)))))
(/.f32 (/.f32 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512))) (.f32 (cbrt.f32 (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u)))) (cbrt.f32 (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u)))))) (cbrt.f32 (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u)))))
(/.f32 (-.f32 (.f32 (.f32 u (.f32 8 u)) (.f32 u (.f32 8 u))) (.f32 (.f32 4 u) (.f32 4 u))) (-.f32 (.f32 u (.f32 8 u)) (*.f32 4 u)))
(/.f32 (-.f32 (.f32 (.f32 4 u) (.f32 4 u)) (.f32 (.f32 u (.f32 8 u)) (.f32 u (.f32 8 u)))) (-.f32 (.f32 4 u) (.f32 u (*.f32 8 u))))
(pow.f32 (*.f32 u (fma.f32 8 u 4)) 1)
(pow.f32 (sqrt.f32 (*.f32 u (fma.f32 8 u 4))) 2)
(pow.f32 (cbrt.f32 (*.f32 u (fma.f32 8 u 4))) 3)
(pow.f32 (pow.f32 (*.f32 u (fma.f32 8 u 4)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 u (fma.f32 8 u 4)) 2))
(log.f32 (pow.f32 (exp.f32 u) (fma.f32 8 u 4)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u (fma.f32 8 u 4)))))
(cbrt.f32 (pow.f32 (*.f32 u (fma.f32 8 u 4)) 3))
(cbrt.f32 (*.f32 (pow.f32 u 3) (pow.f32 (fma.f32 8 u 4) 3)))
(expm1.f32 (log1p.f32 (*.f32 u (fma.f32 8 u 4))))
(exp.f32 (log.f32 (*.f32 u (fma.f32 8 u 4))))
(log1p.f32 (expm1.f32 (*.f32 u (fma.f32 8 u 4))))
(+.f32 (.f32 u (.f32 4 s)) (.f32 u (.f32 (*.f32 8 u) s)))
(+.f32 (.f32 u (.f32 (.f32 8 u) s)) (.f32 u (*.f32 4 s)))
(+.f32 (.f32 s (.f32 u (.f32 8 u))) (.f32 s (*.f32 4 u)))
(+.f32 (.f32 s (.f32 4 u)) (.f32 s (.f32 u (*.f32 8 u))))
(+.f32 (.f32 (.f32 u s) 4) (.f32 (.f32 u s) (*.f32 8 u)))
(+.f32 (.f32 (.f32 u s) (.f32 8 u)) (.f32 (*.f32 u s) 4))
(+.f32 (.f32 (.f32 4 s) u) (.f32 (.f32 (*.f32 8 u) s) u))
(+.f32 (.f32 (.f32 (.f32 8 u) s) u) (.f32 (*.f32 4 s) u))
(+.f32 (.f32 (.f32 u (.f32 8 u)) s) (.f32 (*.f32 4 u) s))
(+.f32 (.f32 (.f32 4 u) s) (.f32 (.f32 u (*.f32 8 u)) s))
(+.f32 (.f32 4 (.f32 u s)) (.f32 (.f32 8 u) (*.f32 u s)))
(+.f32 (.f32 (.f32 8 u) (.f32 u s)) (.f32 4 (*.f32 u s)))
(-.f32 (exp.f32 (log1p.f32 (.f32 u (.f32 (fma.f32 8 u 4) s)))) 1)
(/.f32 (.f32 u (.f32 s (+.f32 16 (.f32 (.f32 u u) -64)))) (+.f32 4 (*.f32 u -8)))
(/.f32 (.f32 u (.f32 s (+.f32 64 (.f32 (pow.f32 u 3) 512)))) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))))
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 (.f32 u u) -64)))) (+.f32 4 (*.f32 u -8)))
(/.f32 (.f32 s (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512)))) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))))
(/.f32 (.f32 (.f32 u s) 1) (/.f32 1 (fma.f32 8 u 4)))
(/.f32 (.f32 (.f32 u s) (+.f32 16 (.f32 (.f32 u u) -64))) (+.f32 4 (*.f32 u -8)))
(/.f32 (.f32 (.f32 u s) (+.f32 64 (.f32 (pow.f32 u 3) 512))) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))))
(/.f32 (.f32 (.f32 u s) (-.f32 (.f32 (.f32 u u) 64) 16)) (-.f32 (*.f32 8 u) 4))
(/.f32 (.f32 (.f32 u s) (+.f32 -16 (neg.f32 (.f32 (.f32 u u) -64)))) (+.f32 -4 (neg.f32 (*.f32 u -8))))
(/.f32 (.f32 (.f32 u s) (+.f32 -64 (neg.f32 (.f32 (pow.f32 u 3) 512)))) (+.f32 -16 (neg.f32 (+.f32 (.f32 (.f32 u u) 64) (.f32 -32 u)))))
(/.f32 (.f32 1 (.f32 u s)) (/.f32 1 (fma.f32 8 u 4)))
(/.f32 (.f32 (+.f32 16 (.f32 (.f32 u u) -64)) (.f32 u s)) (+.f32 4 (*.f32 u -8)))
(/.f32 (.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) (.f32 u s)) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 u u) 64) 16) (.f32 u s)) (-.f32 (*.f32 8 u) 4))
(/.f32 (.f32 (+.f32 -16 (neg.f32 (.f32 (.f32 u u) -64))) (.f32 u s)) (+.f32 -4 (neg.f32 (*.f32 u -8))))
(/.f32 (.f32 (+.f32 -64 (neg.f32 (.f32 (pow.f32 u 3) 512))) (.f32 u s)) (+.f32 -16 (neg.f32 (+.f32 (.f32 (.f32 u u) 64) (.f32 -32 u)))))
(/.f32 (.f32 (.f32 u (+.f32 16 (.f32 (.f32 u u) -64))) s) (+.f32 4 (*.f32 u -8)))
(/.f32 (.f32 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512))) s) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))))
(/.f32 (.f32 (.f32 s (+.f32 16 (.f32 (.f32 u u) -64))) u) (+.f32 4 (*.f32 u -8)))
(/.f32 (.f32 (.f32 s (+.f32 64 (.f32 (pow.f32 u 3) 512))) u) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))))
(pow.f32 (.f32 u (.f32 (fma.f32 8 u 4) s)) 1)
(pow.f32 (sqrt.f32 (.f32 u (.f32 (fma.f32 8 u 4) s))) 2)
(pow.f32 (cbrt.f32 (.f32 u (.f32 (fma.f32 8 u 4) s))) 3)
(pow.f32 (pow.f32 (.f32 u (.f32 (fma.f32 8 u 4) s)) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 u (.f32 (fma.f32 8 u 4) s)) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u) (fma.f32 8 u 4)) s))
(log.f32 (+.f32 1 (expm1.f32 (.f32 u (.f32 (fma.f32 8 u 4) s)))))
(cbrt.f32 (pow.f32 (.f32 u (.f32 (fma.f32 8 u 4) s)) 3))
(cbrt.f32 (.f32 (pow.f32 (.f32 u (fma.f32 8 u 4)) 3) (pow.f32 s 3)))
(expm1.f32 (log1p.f32 (.f32 u (.f32 (fma.f32 8 u 4) s))))
(exp.f32 (log.f32 (.f32 u (.f32 (fma.f32 8 u 4) s))))
(log1p.f32 (expm1.f32 (.f32 u (.f32 (fma.f32 8 u 4) s))))

Outputs
(*.f32 4 u)
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 4 u))
(*.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 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 4 u))
(*.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 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 8 (pow.f32 u 2)) (.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(.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))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(+.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))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(+.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))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(.f32 8 (.f32 s (pow.f32 u 2)))
(.f32 8 (.f32 s (*.f32 u u)))
(.f32 u (.f32 u (*.f32 8 s)))
(.f32 8 (.f32 u (*.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 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(+.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))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(+.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))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(.f32 8 (.f32 s (pow.f32 u 2)))
(.f32 8 (.f32 s (*.f32 u u)))
(.f32 u (.f32 u (*.f32 8 s)))
(.f32 8 (.f32 u (*.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 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(+.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))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(+.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))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(+.f32 (.f32 u (.f32 8 u)) (*.f32 4 u))
(fma.f32 8 (.f32 u u) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 4 u) (.f32 u (*.f32 8 u)))
(fma.f32 8 (.f32 u u) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 1 (.f32 u (.f32 8 u))) (.f32 1 (*.f32 4 u)))
(fma.f32 8 (.f32 u u) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 1 (.f32 4 u)) (.f32 1 (.f32 u (*.f32 8 u))))
(fma.f32 8 (.f32 u u) (.f32 4 u))
(*.f32 u (fma.f32 u 8 4))
(+.f32 (.f32 (.f32 u (.f32 8 u)) 1) (.f32 (*.f32 4 u) 1))
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(.f32 u (.f32 s (fma.f32 u 8 4)))
(+.f32 (.f32 4 (.f32 u s)) (.f32 (.f32 8 u) (*.f32 u s)))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(+.f32 (.f32 (.f32 8 u) (.f32 u s)) (.f32 4 (*.f32 u s)))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(-.f32 (exp.f32 (log1p.f32 (.f32 u (.f32 (fma.f32 8 u 4) s)))) 1)
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(/.f32 (.f32 u (.f32 s (+.f32 16 (.f32 (.f32 u u) -64)))) (+.f32 4 (*.f32 u -8)))
(/.f32 u (/.f32 (+.f32 4 (.f32 u -8)) (.f32 s (+.f32 16 (.f32 u (.f32 u -64))))))
(.f32 (.f32 (/.f32 u (fma.f32 u -8 4)) (fma.f32 u (*.f32 u -64) 16)) s)
(.f32 (/.f32 (fma.f32 u 16 (.f32 -64 (pow.f32 u 3))) (fma.f32 u -8 4)) s)
(/.f32 (.f32 u (.f32 s (+.f32 64 (.f32 (pow.f32 u 3) 512)))) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))))
(/.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) (/.f32 (fma.f32 (.f32 u u) 64 (+.f32 16 (.f32 u -32))) (.f32 u s)))
(.f32 (.f32 (/.f32 u (fma.f32 u (*.f32 u 64) (fma.f32 u -32 16))) (fma.f32 (pow.f32 u 3) 512 64)) s)
(.f32 (/.f32 (.f32 u (fma.f32 (pow.f32 u 3) 512 64)) (fma.f32 u (*.f32 u 64) (fma.f32 u -32 16))) s)
(/.f32 (.f32 s (.f32 u (+.f32 16 (.f32 (.f32 u u) -64)))) (+.f32 4 (*.f32 u -8)))
(/.f32 u (/.f32 (+.f32 4 (.f32 u -8)) (.f32 s (+.f32 16 (.f32 u (.f32 u -64))))))
(.f32 (.f32 (/.f32 u (fma.f32 u -8 4)) (fma.f32 u (*.f32 u -64) 16)) s)
(.f32 (/.f32 (fma.f32 u 16 (.f32 -64 (pow.f32 u 3))) (fma.f32 u -8 4)) s)
(/.f32 (.f32 s (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512)))) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))))
(/.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) (/.f32 (fma.f32 (.f32 u u) 64 (+.f32 16 (.f32 u -32))) (.f32 u s)))
(.f32 (.f32 (/.f32 u (fma.f32 u (*.f32 u 64) (fma.f32 u -32 16))) (fma.f32 (pow.f32 u 3) 512 64)) s)
(.f32 (/.f32 (.f32 u (fma.f32 (pow.f32 u 3) 512 64)) (fma.f32 u (*.f32 u 64) (fma.f32 u -32 16))) s)
(/.f32 (.f32 (.f32 u s) 1) (/.f32 1 (fma.f32 8 u 4)))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(/.f32 (.f32 (.f32 u s) (+.f32 16 (.f32 (.f32 u u) -64))) (+.f32 4 (*.f32 u -8)))
(/.f32 u (/.f32 (+.f32 4 (.f32 u -8)) (.f32 s (+.f32 16 (.f32 u (.f32 u -64))))))
(.f32 (.f32 (/.f32 u (fma.f32 u -8 4)) (fma.f32 u (*.f32 u -64) 16)) s)
(.f32 (/.f32 (fma.f32 u 16 (.f32 -64 (pow.f32 u 3))) (fma.f32 u -8 4)) s)
(/.f32 (.f32 (.f32 u s) (+.f32 64 (.f32 (pow.f32 u 3) 512))) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))))
(/.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) (/.f32 (fma.f32 (.f32 u u) 64 (+.f32 16 (.f32 u -32))) (.f32 u s)))
(.f32 (.f32 (/.f32 u (fma.f32 u (*.f32 u 64) (fma.f32 u -32 16))) (fma.f32 (pow.f32 u 3) 512 64)) s)
(.f32 (/.f32 (.f32 u (fma.f32 (pow.f32 u 3) 512 64)) (fma.f32 u (*.f32 u 64) (fma.f32 u -32 16))) s)
(/.f32 (.f32 (.f32 u s) (-.f32 (.f32 (.f32 u u) 64) 16)) (-.f32 (*.f32 8 u) 4))
(/.f32 (fma.f32 (.f32 u u) 64 -16) (/.f32 (fma.f32 8 u -4) (.f32 u s)))
(.f32 (/.f32 (fma.f32 u (.f32 u 64) -16) (fma.f32 u 8 -4)) (*.f32 u s))
(.f32 (/.f32 (fma.f32 u -16 (.f32 64 (pow.f32 u 3))) (fma.f32 u 8 -4)) s)
(/.f32 (.f32 (.f32 u s) (+.f32 -16 (neg.f32 (.f32 (.f32 u u) -64)))) (+.f32 -4 (neg.f32 (*.f32 u -8))))
(/.f32 (fma.f32 (.f32 u u) 64 -16) (/.f32 (fma.f32 8 u -4) (.f32 u s)))
(.f32 (/.f32 (fma.f32 u (.f32 u 64) -16) (fma.f32 u 8 -4)) (*.f32 u s))
(.f32 (/.f32 (fma.f32 u -16 (.f32 64 (pow.f32 u 3))) (fma.f32 u 8 -4)) s)
(/.f32 (.f32 (.f32 u s) (+.f32 -64 (neg.f32 (.f32 (pow.f32 u 3) 512)))) (+.f32 -16 (neg.f32 (+.f32 (.f32 (.f32 u u) 64) (.f32 -32 u)))))
(/.f32 (+.f32 -64 (.f32 (pow.f32 u 3) -512)) (/.f32 (-.f32 -16 (fma.f32 (.f32 u u) 64 (.f32 u -32))) (.f32 u s)))
(/.f32 u (/.f32 (-.f32 -16 (.f32 u (+.f32 -32 (.f32 u 64)))) (*.f32 s (fma.f32 (pow.f32 u 3) -512 -64))))
(.f32 (/.f32 (fma.f32 (pow.f32 u 3) -512 -64) (/.f32 (+.f32 -16 (.f32 u (-.f32 32 (*.f32 u 64)))) u)) s)
(/.f32 (.f32 1 (.f32 u s)) (/.f32 1 (fma.f32 8 u 4)))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(/.f32 (.f32 (+.f32 16 (.f32 (.f32 u u) -64)) (.f32 u s)) (+.f32 4 (*.f32 u -8)))
(/.f32 u (/.f32 (+.f32 4 (.f32 u -8)) (.f32 s (+.f32 16 (.f32 u (.f32 u -64))))))
(.f32 (.f32 (/.f32 u (fma.f32 u -8 4)) (fma.f32 u (*.f32 u -64) 16)) s)
(.f32 (/.f32 (fma.f32 u 16 (.f32 -64 (pow.f32 u 3))) (fma.f32 u -8 4)) s)
(/.f32 (.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) (.f32 u s)) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))))
(/.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) (/.f32 (fma.f32 (.f32 u u) 64 (+.f32 16 (.f32 u -32))) (.f32 u s)))
(.f32 (.f32 (/.f32 u (fma.f32 u (*.f32 u 64) (fma.f32 u -32 16))) (fma.f32 (pow.f32 u 3) 512 64)) s)
(.f32 (/.f32 (.f32 u (fma.f32 (pow.f32 u 3) 512 64)) (fma.f32 u (*.f32 u 64) (fma.f32 u -32 16))) s)
(/.f32 (.f32 (-.f32 (.f32 (.f32 u u) 64) 16) (.f32 u s)) (-.f32 (*.f32 8 u) 4))
(/.f32 (fma.f32 (.f32 u u) 64 -16) (/.f32 (fma.f32 8 u -4) (.f32 u s)))
(.f32 (/.f32 (fma.f32 u (.f32 u 64) -16) (fma.f32 u 8 -4)) (*.f32 u s))
(.f32 (/.f32 (fma.f32 u -16 (.f32 64 (pow.f32 u 3))) (fma.f32 u 8 -4)) s)
(/.f32 (.f32 (+.f32 -16 (neg.f32 (.f32 (.f32 u u) -64))) (.f32 u s)) (+.f32 -4 (neg.f32 (*.f32 u -8))))
(/.f32 (fma.f32 (.f32 u u) 64 -16) (/.f32 (fma.f32 8 u -4) (.f32 u s)))
(.f32 (/.f32 (fma.f32 u (.f32 u 64) -16) (fma.f32 u 8 -4)) (*.f32 u s))
(.f32 (/.f32 (fma.f32 u -16 (.f32 64 (pow.f32 u 3))) (fma.f32 u 8 -4)) s)
(/.f32 (.f32 (+.f32 -64 (neg.f32 (.f32 (pow.f32 u 3) 512))) (.f32 u s)) (+.f32 -16 (neg.f32 (+.f32 (.f32 (.f32 u u) 64) (.f32 -32 u)))))
(/.f32 (+.f32 -64 (.f32 (pow.f32 u 3) -512)) (/.f32 (-.f32 -16 (fma.f32 (.f32 u u) 64 (.f32 u -32))) (.f32 u s)))
(/.f32 u (/.f32 (-.f32 -16 (.f32 u (+.f32 -32 (.f32 u 64)))) (*.f32 s (fma.f32 (pow.f32 u 3) -512 -64))))
(.f32 (/.f32 (fma.f32 (pow.f32 u 3) -512 -64) (/.f32 (+.f32 -16 (.f32 u (-.f32 32 (*.f32 u 64)))) u)) s)
(/.f32 (.f32 (.f32 u (+.f32 16 (.f32 (.f32 u u) -64))) s) (+.f32 4 (*.f32 u -8)))
(/.f32 u (/.f32 (+.f32 4 (.f32 u -8)) (.f32 s (+.f32 16 (.f32 u (.f32 u -64))))))
(.f32 (.f32 (/.f32 u (fma.f32 u -8 4)) (fma.f32 u (*.f32 u -64) 16)) s)
(.f32 (/.f32 (fma.f32 u 16 (.f32 -64 (pow.f32 u 3))) (fma.f32 u -8 4)) s)
(/.f32 (.f32 (.f32 u (+.f32 64 (.f32 (pow.f32 u 3) 512))) s) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))))
(/.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) (/.f32 (fma.f32 (.f32 u u) 64 (+.f32 16 (.f32 u -32))) (.f32 u s)))
(.f32 (.f32 (/.f32 u (fma.f32 u (*.f32 u 64) (fma.f32 u -32 16))) (fma.f32 (pow.f32 u 3) 512 64)) s)
(.f32 (/.f32 (.f32 u (fma.f32 (pow.f32 u 3) 512 64)) (fma.f32 u (*.f32 u 64) (fma.f32 u -32 16))) s)
(/.f32 (.f32 (.f32 s (+.f32 16 (.f32 (.f32 u u) -64))) u) (+.f32 4 (*.f32 u -8)))
(/.f32 u (/.f32 (+.f32 4 (.f32 u -8)) (.f32 s (+.f32 16 (.f32 u (.f32 u -64))))))
(.f32 (.f32 (/.f32 u (fma.f32 u -8 4)) (fma.f32 u (*.f32 u -64) 16)) s)
(.f32 (/.f32 (fma.f32 u 16 (.f32 -64 (pow.f32 u 3))) (fma.f32 u -8 4)) s)
(/.f32 (.f32 (.f32 s (+.f32 64 (.f32 (pow.f32 u 3) 512))) u) (+.f32 (.f32 (.f32 u u) 64) (+.f32 16 (.f32 -32 u))))
(/.f32 (+.f32 64 (.f32 (pow.f32 u 3) 512)) (/.f32 (fma.f32 (.f32 u u) 64 (+.f32 16 (.f32 u -32))) (.f32 u s)))
(.f32 (.f32 (/.f32 u (fma.f32 u (*.f32 u 64) (fma.f32 u -32 16))) (fma.f32 (pow.f32 u 3) 512 64)) s)
(.f32 (/.f32 (.f32 u (fma.f32 (pow.f32 u 3) 512 64)) (fma.f32 u (*.f32 u 64) (fma.f32 u -32 16))) s)
(pow.f32 (.f32 u (.f32 (fma.f32 8 u 4) s)) 1)
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(pow.f32 (sqrt.f32 (.f32 u (.f32 (fma.f32 8 u 4) s))) 2)
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(pow.f32 (cbrt.f32 (.f32 u (.f32 (fma.f32 8 u 4) s))) 3)
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(pow.f32 (pow.f32 (.f32 u (.f32 (fma.f32 8 u 4) s)) 3) 1/3)
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(sqrt.f32 (pow.f32 (.f32 u (.f32 (fma.f32 8 u 4) s)) 2))
(sqrt.f32 (pow.f32 (.f32 u (.f32 s (fma.f32 8 u 4))) 2))
(fabs.f32 (.f32 u (.f32 s (fma.f32 u 8 4))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u) (fma.f32 8 u 4)) s))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 u (.f32 (fma.f32 8 u 4) s)))))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(cbrt.f32 (pow.f32 (.f32 u (.f32 (fma.f32 8 u 4) s)) 3))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(cbrt.f32 (.f32 (pow.f32 (.f32 u (fma.f32 8 u 4)) 3) (pow.f32 s 3)))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(expm1.f32 (log1p.f32 (.f32 u (.f32 (fma.f32 8 u 4) s))))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(exp.f32 (log.f32 (.f32 u (.f32 (fma.f32 8 u 4) s))))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))
(log1p.f32 (expm1.f32 (.f32 u (.f32 (fma.f32 8 u 4) s))))
(fma.f32 4 (.f32 u s) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (.f32 s (fma.f32 u 8 4)))

localize43.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 16 (-.f32 4 (*.f32 u 8)))
✓	0.3b	(.f32 (.f32 (/.f32 s 1) (/.f32 16 (-.f32 4 (*.f32 u 8)))) u)
✓	0.3b	(.f32 (/.f32 s 1) (/.f32 16 (-.f32 4 (.f32 u 8))))

Compiler

Compiled 50 to 39 computations (22% saved)

series10.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	s	@	inf	(.f32 (.f32 (/.f32 s 1) (/.f32 16 (-.f32 4 (*.f32 u 8)))) u)
1.0ms	s	@	0	(.f32 (/.f32 s 1) (/.f32 16 (-.f32 4 (.f32 u 8))))
1.0ms	s	@	0	(.f32 (.f32 (/.f32 s 1) (/.f32 16 (-.f32 4 (*.f32 u 8)))) u)
0.0ms	s	@	-inf	(.f32 (/.f32 s 1) (/.f32 16 (-.f32 4 (.f32 u 8))))
0.0ms	s	@	inf	(.f32 (/.f32 s 1) (/.f32 16 (-.f32 4 (.f32 u 8))))

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`associate-/r*`
806×	`associate-/l*`
658×	`associate-/r/`
478×	`distribute-rgt-in`
434×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	312	75
2	3587	63

Stop Event

1×	node limit

Counts

3 → 289

Calls

Call 1

Inputs
(.f32 (/.f32 s 1) (/.f32 16 (-.f32 4 (.f32 u 8))))
(.f32 (.f32 (/.f32 s 1) (/.f32 16 (-.f32 4 (*.f32 u 8)))) u)
(/.f32 16 (-.f32 4 (*.f32 u 8)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (*.f32 s 16) (+.f32 16 (*.f32 (*.f32 u u) -64))) 4) (*.f32 (/.f32 (*.f32 s 16) (+.f32 16 (*.f32 (*.f32 u u) -64))) (*.f32 u 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (*.f32 s 16) (+.f32 16 (*.f32 (*.f32 u u) -64))) (*.f32 u 8)) (*.f32 (/.f32 (*.f32 s 16) (+.f32 16 (*.f32 (*.f32 u u) -64))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 s (/.f32 (-.f32 64 (pow.f32 (*.f32 u 8) 3)) 16)) 16) (*.f32 (/.f32 s (/.f32 (-.f32 64 (pow.f32 (*.f32 u 8) 3)) 16)) (+.f32 (pow.f32 (*.f32 u 8) 2) (*.f32 32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 s (/.f32 (-.f32 64 (pow.f32 (*.f32 u 8) 3)) 16)) (+.f32 (pow.f32 (*.f32 u 8) 2) (*.f32 32 u))) (*.f32 (/.f32 s (/.f32 (-.f32 64 (pow.f32 (*.f32 u 8) 3)) 16)) 16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 s (/.f32 (-.f32 64 (pow.f32 (*.f32 u 8) 3)) 16)) (+.f32 16 (pow.f32 (*.f32 u 8) 2))) (*.f32 (/.f32 s (/.f32 (-.f32 64 (pow.f32 (*.f32 u 8) 3)) 16)) (*.f32 32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 4 (/.f32 (*.f32 s 16) (+.f32 16 (*.f32 (*.f32 u u) -64)))) (*.f32 (*.f32 u 8) (/.f32 (*.f32 s 16) (+.f32 16 (*.f32 (*.f32 u u) -64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u 8) (/.f32 (*.f32 s 16) (+.f32 16 (*.f32 (*.f32 u u) -64)))) (*.f32 4 (/.f32 (*.f32 s 16) (+.f32 16 (*.f32 (*.f32 u u) -64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 16 (/.f32 s (/.f32 (-.f32 64 (pow.f32 (*.f32 u 8) 3)) 16))) (*.f32 (+.f32 (pow.f32 (*.f32 u 8) 2) (*.f32 32 u)) (/.f32 s (/.f32 (-.f32 64 (pow.f32 (*.f32 u 8) 3)) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 (pow.f32 (*.f32 u 8) 2) (*.f32 32 u)) (/.f32 s (/.f32 (-.f32 64 (pow.f32 (*.f32 u 8) 3)) 16))) (*.f32 16 (/.f32 s (/.f32 (-.f32 64 (pow.f32 (*.f32 u 8) 3)) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 16 (pow.f32 (*.f32 u 8) 2)) (/.f32 s 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simplify145.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1212×	`associate-/l*`
942×	`associate-/r*`
896×	`*-commutative`
812×	`associate-/l/`
752×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	796	13675
1	2201	12601

Stop Event

1×	node limit

Counts

349 → 484

Calls

Call 1

Inputs
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(*.f32 4 s)
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 4 s) (.f32 8 (*.f32 s u))))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 4 s) (+.f32 (.f32 8 (.f32 s u)) (.f32 32 (*.f32 s (pow.f32 u 3))))))
(*.f32 -2 (/.f32 s u))
(+.f32 (.f32 -1 (/.f32 s (pow.f32 u 2))) (.f32 -2 (/.f32 s u)))
(+.f32 (.f32 -1 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -2 (/.f32 s u)) (*.f32 -1/2 (/.f32 s (pow.f32 u 3)))))
(+.f32 (.f32 -1/4 (/.f32 s (pow.f32 u 4))) (+.f32 (.f32 -1 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -2 (/.f32 s u)) (.f32 -1/2 (/.f32 s (pow.f32 u 3))))))
(*.f32 -2 (/.f32 s u))
(+.f32 (.f32 -1 (/.f32 s (pow.f32 u 2))) (.f32 -2 (/.f32 s u)))
(+.f32 (.f32 -1 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -2 (/.f32 s u)) (*.f32 -1/2 (/.f32 s (pow.f32 u 3)))))
(+.f32 (.f32 -1/4 (/.f32 s (pow.f32 u 4))) (+.f32 (.f32 -1 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -2 (/.f32 s u)) (.f32 -1/2 (/.f32 s (pow.f32 u 3))))))
(.f32 16 (/.f32 (.f32 s u) (-.f32 4 (*.f32 8 u))))
(.f32 16 (/.f32 (.f32 s u) (-.f32 4 (*.f32 8 u))))
(.f32 16 (/.f32 (.f32 s u) (-.f32 4 (*.f32 8 u))))
(.f32 16 (/.f32 (.f32 s u) (-.f32 4 (*.f32 8 u))))
(.f32 16 (/.f32 (.f32 s u) (-.f32 4 (*.f32 8 u))))
(.f32 16 (/.f32 (.f32 s u) (-.f32 4 (*.f32 8 u))))
(.f32 16 (/.f32 (.f32 s u) (-.f32 4 (*.f32 8 u))))
(.f32 16 (/.f32 (.f32 s u) (-.f32 4 (*.f32 8 u))))
(.f32 16 (/.f32 (.f32 s u) (-.f32 4 (*.f32 8 u))))
(.f32 16 (/.f32 (.f32 s u) (-.f32 4 (*.f32 8 u))))
(.f32 16 (/.f32 (.f32 s u) (-.f32 4 (*.f32 8 u))))
(.f32 16 (/.f32 (.f32 s u) (-.f32 4 (*.f32 8 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 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 16 (.f32 s (pow.f32 u 3)))))
(+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 32 (.f32 s (pow.f32 u 4))) (.f32 16 (.f32 s (pow.f32 u 3))))))
(*.f32 -2 s)
(+.f32 (.f32 -1 (/.f32 s u)) (.f32 -2 s))
(+.f32 (.f32 -1 (/.f32 s u)) (+.f32 (.f32 -2 s) (*.f32 -1/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 -1 (/.f32 s u)) (+.f32 (.f32 -2 s) (+.f32 (.f32 -1/2 (/.f32 s (pow.f32 u 2))) (.f32 -1/4 (/.f32 s (pow.f32 u 3))))))
(*.f32 -2 s)
(+.f32 (.f32 -1 (/.f32 s u)) (.f32 -2 s))
(+.f32 (.f32 -1 (/.f32 s u)) (+.f32 (.f32 -2 s) (*.f32 -1/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 -1 (/.f32 s u)) (+.f32 (.f32 -2 s) (+.f32 (.f32 -1/2 (/.f32 s (pow.f32 u 2))) (.f32 -1/4 (/.f32 s (pow.f32 u 3))))))
4
(+.f32 4 (*.f32 8 u))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 4 (.f32 8 u)))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 4 (+.f32 (.f32 8 u) (*.f32 32 (pow.f32 u 3)))))
(/.f32 -2 u)
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u 2)) (*.f32 2 (/.f32 1 u))))
(neg.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 3))) (+.f32 (/.f32 1 (pow.f32 u 2)) (.f32 2 (/.f32 1 u)))))
(neg.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 u 4))) (+.f32 (/.f32 1 (pow.f32 u 2)) (*.f32 2 (/.f32 1 u))))))
(/.f32 -2 u)
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u 2)) (*.f32 2 (/.f32 1 u))))
(neg.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 3))) (+.f32 (/.f32 1 (pow.f32 u 2)) (.f32 2 (/.f32 1 u)))))
(neg.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 u 4))) (+.f32 (/.f32 1 (pow.f32 u 2)) (*.f32 2 (/.f32 1 u))))))
(+.f32 (.f32 (/.f32 (.f32 s 16) (+.f32 16 (.f32 (.f32 u u) -64))) 4) (.f32 (/.f32 (.f32 s 16) (+.f32 16 (.f32 (.f32 u u) -64))) (*.f32 u 8)))
(+.f32 (.f32 (/.f32 (.f32 s 16) (+.f32 16 (.f32 (.f32 u u) -64))) (.f32 u 8)) (.f32 (/.f32 (.f32 s 16) (+.f32 16 (.f32 (*.f32 u u) -64))) 4))
(+.f32 (.f32 (/.f32 s (/.f32 (-.f32 64 (pow.f32 (.f32 u 8) 3)) 16)) 16) (.f32 (/.f32 s (/.f32 (-.f32 64 (pow.f32 (.f32 u 8) 3)) 16)) (+.f32 (pow.f32 (.f32 u 8) 2) (.f32 32 u))))
(+.f32 (.f32 (/.f32 s (/.f32 (-.f32 64 (pow.f32 (.f32 u 8) 3)) 16)) (+.f32 (pow.f32 (.f32 u 8) 2) (.f32 32 u))) (.f32 (/.f32 s (/.f32 (-.f32 64 (pow.f32 (.f32 u 8) 3)) 16)) 16))
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(/.f32 (/.f32 (.f32 (neg.f32 s) -16) -1) (+.f32 (.f32 u 8) -4))
(/.f32 (/.f32 (.f32 s -16) (+.f32 4 (.f32 u -8))) -1)
(/.f32 (/.f32 (.f32 s 16) (+.f32 (.f32 u 8) -4)) -1)
(pow.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) 1)
(pow.f32 (sqrt.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2)))) 2)
(pow.f32 (cbrt.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2)))) 3)
(pow.f32 (pow.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) 3) 1/3)
(sqrt.f32 (pow.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) 2))
(log.f32 (exp.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))))))
(cbrt.f32 (pow.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) 3))
(cbrt.f32 (*.f32 (pow.f32 s 3) (pow.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) 3) (pow.f32 s 3)))
(expm1.f32 (log1p.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2)))))
(exp.f32 (log.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2)))))
(exp.f32 (*.f32 (log.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2)))) 1))
(log1p.f32 (expm1.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2)))))) 1)
(/.f32 1 (/.f32 1 (*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))))
(/.f32 1 (/.f32 (/.f32 1 s) (/.f32 u (-.f32 1/4 (/.f32 u 2)))))
(/.f32 s (/.f32 1 (/.f32 u (-.f32 1/4 (/.f32 u 2)))))
(/.f32 16 (/.f32 (/.f32 1 s) (.f32 (/.f32 1 (+.f32 4 (.f32 u -8))) u)))
(/.f32 u (/.f32 (-.f32 1/4 (/.f32 u 2)) s))
(/.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) (/.f32 1 (*.f32 s u)))
(/.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) (/.f32 (/.f32 1 s) u))
(/.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) (/.f32 1 u))
(/.f32 (*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2)))) 1)
(/.f32 (sqrt.f32 (.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))) (/.f32 1 (sqrt.f32 (.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2)))))))
(/.f32 (sqrt.f32 u) (/.f32 1 (*.f32 (sqrt.f32 u) (/.f32 s (-.f32 1/4 (/.f32 u 2))))))
(/.f32 (sqrt.f32 s) (/.f32 1 (*.f32 (sqrt.f32 s) (/.f32 u (-.f32 1/4 (/.f32 u 2))))))
(/.f32 (/.f32 1 (sqrt.f32 (-.f32 1/4 (/.f32 u 2)))) (/.f32 (/.f32 1 s) (*.f32 (/.f32 1 (sqrt.f32 (-.f32 1/4 (/.f32 u 2)))) u)))
(/.f32 (sqrt.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2)))) (/.f32 1 (*.f32 (sqrt.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2)))) u)))
(/.f32 (cbrt.f32 (.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))) (/.f32 1 (pow.f32 (cbrt.f32 (.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))) 2)))
(/.f32 (pow.f32 (cbrt.f32 (.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))) 2) (/.f32 1 (cbrt.f32 (.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2)))))))
(/.f32 (pow.f32 (cbrt.f32 u) 2) (/.f32 1 (*.f32 (cbrt.f32 u) (/.f32 s (-.f32 1/4 (/.f32 u 2))))))
(/.f32 (pow.f32 (cbrt.f32 s) 2) (/.f32 1 (*.f32 (cbrt.f32 s) (/.f32 u (-.f32 1/4 (/.f32 u 2))))))
(/.f32 (pow.f32 (/.f32 1 (cbrt.f32 (-.f32 1/4 (/.f32 u 2)))) 2) (/.f32 (/.f32 1 s) (*.f32 (/.f32 1 (cbrt.f32 (-.f32 1/4 (/.f32 u 2)))) u)))
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(/.f32 (/.f32 u (-.f32 1/4 (/.f32 u 2))) (/.f32 1 s))
(/.f32 (.f32 s 16) (/.f32 (+.f32 4 (.f32 u -8)) u))
(/.f32 (neg.f32 s) (/.f32 -1 (/.f32 u (-.f32 1/4 (/.f32 u 2)))))
(/.f32 (sqrt.f32 (/.f32 u (-.f32 1/4 (/.f32 u 2)))) (/.f32 (/.f32 1 s) (sqrt.f32 (/.f32 u (-.f32 1/4 (/.f32 u 2))))))
(/.f32 (*.f32 (cbrt.f32 (/.f32 u (-.f32 1/4 (/.f32 u 2)))) (cbrt.f32 (/.f32 u (-.f32 1/4 (/.f32 u 2))))) (/.f32 (/.f32 1 s) (cbrt.f32 (/.f32 u (-.f32 1/4 (/.f32 u 2))))))
(/.f32 (*.f32 u s) (-.f32 1/4 (/.f32 u 2)))
(/.f32 (*.f32 u (sqrt.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))))) (/.f32 1 (sqrt.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))))))
(/.f32 (*.f32 u (pow.f32 (cbrt.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2)))) 2)) (/.f32 1 (cbrt.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))))))
(/.f32 (*.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) (sqrt.f32 u)) (/.f32 1 (sqrt.f32 u)))
(/.f32 (*.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) (pow.f32 (cbrt.f32 u) 2)) (/.f32 1 (cbrt.f32 u)))
(/.f32 (*.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) (sqrt.f32 u)) (/.f32 (/.f32 1 s) (sqrt.f32 u)))
(/.f32 (*.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) (pow.f32 (cbrt.f32 u) 2)) (/.f32 (/.f32 1 s) (cbrt.f32 u)))
(/.f32 (.f32 u (.f32 s 16)) (+.f32 4 (*.f32 u -8)))
(/.f32 (*.f32 (neg.f32 s) (/.f32 u (-.f32 1/4 (/.f32 u 2)))) -1)
(/.f32 (.f32 (.f32 s 16) u) (+.f32 4 (*.f32 u -8)))
(/.f32 (.f32 16 u) (.f32 (/.f32 1 s) (+.f32 4 (*.f32 u -8))))
(/.f32 (.f32 -16 u) (.f32 (/.f32 1 s) (+.f32 (*.f32 u 8) -4)))
(/.f32 (.f32 (/.f32 1 (sqrt.f32 (-.f32 1/4 (/.f32 u 2)))) (sqrt.f32 u)) (/.f32 (/.f32 1 s) (.f32 (/.f32 1 (sqrt.f32 (-.f32 1/4 (/.f32 u 2)))) (sqrt.f32 u))))
(/.f32 (/.f32 (/.f32 u (-.f32 1/4 (/.f32 u 2))) (sqrt.f32 (/.f32 1 s))) (sqrt.f32 (/.f32 1 s)))
(/.f32 (/.f32 (/.f32 u (-.f32 1/4 (/.f32 u 2))) (*.f32 (cbrt.f32 (/.f32 1 s)) (cbrt.f32 (/.f32 1 s)))) (cbrt.f32 (/.f32 1 s)))
(/.f32 (/.f32 (/.f32 u (-.f32 1/4 (/.f32 u 2))) (/.f32 -1 s)) -1)
(/.f32 (/.f32 (.f32 u (.f32 s 16)) 1) (+.f32 4 (*.f32 u -8)))
(/.f32 (/.f32 (.f32 u (.f32 s 16)) (sqrt.f32 (+.f32 4 (.f32 u -8)))) (sqrt.f32 (+.f32 4 (.f32 u -8))))
(/.f32 (/.f32 (.f32 u (.f32 s 16)) (cbrt.f32 (+.f32 4 (.f32 u -8)))) (pow.f32 (cbrt.f32 (+.f32 4 (.f32 u -8))) 2))
(/.f32 (/.f32 (.f32 u (.f32 s 16)) (pow.f32 (cbrt.f32 (+.f32 4 (.f32 u -8))) 2)) (cbrt.f32 (+.f32 4 (.f32 u -8))))
(/.f32 (/.f32 (.f32 u (.f32 s 16)) (+.f32 16 (.f32 (.f32 u u) -64))) (/.f32 1 (+.f32 4 (*.f32 u 8))))
(/.f32 (/.f32 (.f32 u (.f32 s 16)) (-.f32 64 (pow.f32 (.f32 u 8) 3))) (/.f32 1 (+.f32 16 (+.f32 (pow.f32 (.f32 u 8) 2) (*.f32 32 u)))))
(/.f32 (/.f32 (.f32 (.f32 s 16) u) 1) (+.f32 4 (*.f32 u -8)))
(/.f32 (/.f32 (.f32 (.f32 s 16) u) (sqrt.f32 (+.f32 4 (.f32 u -8)))) (sqrt.f32 (+.f32 4 (.f32 u -8))))
(/.f32 (/.f32 (.f32 (.f32 s 16) u) (cbrt.f32 (+.f32 4 (.f32 u -8)))) (pow.f32 (cbrt.f32 (+.f32 4 (.f32 u -8))) 2))
(/.f32 (/.f32 (.f32 (.f32 s 16) u) (pow.f32 (cbrt.f32 (+.f32 4 (.f32 u -8))) 2)) (cbrt.f32 (+.f32 4 (.f32 u -8))))
(/.f32 (/.f32 (.f32 (.f32 s 16) u) (+.f32 16 (.f32 (.f32 u u) -64))) (/.f32 1 (+.f32 4 (*.f32 u 8))))
(/.f32 (/.f32 (.f32 (.f32 s 16) u) (-.f32 64 (pow.f32 (.f32 u 8) 3))) (/.f32 1 (+.f32 16 (+.f32 (pow.f32 (.f32 u 8) 2) (*.f32 32 u)))))
(pow.f32 (*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2)))) 1)
(pow.f32 (sqrt.f32 (*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))) 2)
(pow.f32 (cbrt.f32 (*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))) 3)
(pow.f32 (pow.f32 (*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2)))) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2)))) 2))
(log.f32 (pow.f32 (exp.f32 u) (/.f32 s (-.f32 1/4 (/.f32 u 2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2)))))))
(cbrt.f32 (pow.f32 (*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 u 3) (pow.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) 3) (pow.f32 u 3)))
(expm1.f32 (log1p.f32 (*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))))
(exp.f32 (log.f32 (*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))))
(exp.f32 (.f32 (log.f32 (.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))) 1))
(log1p.f32 (expm1.f32 (*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))))
(+.f32 (.f32 (/.f32 16 (+.f32 16 (.f32 (.f32 u u) -64))) 4) (.f32 (/.f32 16 (+.f32 16 (.f32 (.f32 u u) -64))) (*.f32 u 8)))
(+.f32 (.f32 (/.f32 16 (+.f32 16 (.f32 (.f32 u u) -64))) (.f32 u 8)) (.f32 (/.f32 16 (+.f32 16 (.f32 (*.f32 u u) -64))) 4))
(+.f32 (.f32 (/.f32 16 (-.f32 64 (pow.f32 (.f32 u 8) 3))) 16) (.f32 (/.f32 16 (-.f32 64 (pow.f32 (.f32 u 8) 3))) (+.f32 (pow.f32 (.f32 u 8) 2) (.f32 32 u))))
(+.f32 (.f32 (/.f32 16 (-.f32 64 (pow.f32 (.f32 u 8) 3))) (+.f32 (pow.f32 (.f32 u 8) 2) (.f32 32 u))) (.f32 (/.f32 16 (-.f32 64 (pow.f32 (.f32 u 8) 3))) 16))
(+.f32 (.f32 (/.f32 16 (-.f32 64 (pow.f32 (.f32 u 8) 3))) (+.f32 16 (pow.f32 (.f32 u 8) 2))) (.f32 (/.f32 16 (-.f32 64 (pow.f32 (.f32 u 8) 3))) (.f32 32 u)))
(+.f32 (.f32 4 (/.f32 16 (+.f32 16 (.f32 (.f32 u u) -64)))) (.f32 (.f32 u 8) (/.f32 16 (+.f32 16 (.f32 (*.f32 u u) -64)))))
(+.f32 (.f32 (.f32 u 8) (/.f32 16 (+.f32 16 (.f32 (.f32 u u) -64)))) (.f32 4 (/.f32 16 (+.f32 16 (.f32 (*.f32 u u) -64)))))
(+.f32 (.f32 16 (/.f32 16 (-.f32 64 (pow.f32 (.f32 u 8) 3)))) (.f32 (+.f32 (pow.f32 (.f32 u 8) 2) (.f32 32 u)) (/.f32 16 (-.f32 64 (pow.f32 (.f32 u 8) 3)))))
(+.f32 (.f32 (+.f32 (pow.f32 (.f32 u 8) 2) (.f32 32 u)) (/.f32 16 (-.f32 64 (pow.f32 (.f32 u 8) 3)))) (.f32 16 (/.f32 16 (-.f32 64 (pow.f32 (.f32 u 8) 3)))))
(+.f32 (.f32 (+.f32 16 (pow.f32 (.f32 u 8) 2)) (/.f32 16 (-.f32 64 (pow.f32 (.f32 u 8) 3)))) (.f32 (.f32 32 u) (/.f32 16 (-.f32 64 (pow.f32 (.f32 u 8) 3)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))))) 1)
(*.f32 1 (/.f32 1 (-.f32 1/4 (/.f32 u 2))))
(.f32 16 (/.f32 1 (+.f32 4 (.f32 u -8))))
(*.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) 1)
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1/4 (/.f32 u 2)))) (/.f32 1 (sqrt.f32 (-.f32 1/4 (/.f32 u 2)))))
(*.f32 (/.f32 1 (cbrt.f32 (-.f32 1/4 (/.f32 u 2)))) (pow.f32 (/.f32 1 (cbrt.f32 (-.f32 1/4 (/.f32 u 2)))) 2))
(*.f32 (pow.f32 (/.f32 1 (cbrt.f32 (-.f32 1/4 (/.f32 u 2)))) 2) (/.f32 1 (cbrt.f32 (-.f32 1/4 (/.f32 u 2)))))
(.f32 (/.f32 1 (+.f32 4 (.f32 u -8))) 16)
(.f32 -16 (/.f32 1 (+.f32 (.f32 u 8) -4)))
(.f32 (/.f32 1 (sqrt.f32 (+.f32 4 (.f32 u -8)))) (/.f32 16 (sqrt.f32 (+.f32 4 (*.f32 u -8)))))
(.f32 (/.f32 1 (pow.f32 (cbrt.f32 (+.f32 4 (.f32 u -8))) 2)) (/.f32 16 (cbrt.f32 (+.f32 4 (*.f32 u -8)))))
(.f32 (/.f32 1 (+.f32 16 (.f32 (.f32 u u) -64))) (+.f32 64 (.f32 16 (*.f32 u 8))))
(.f32 (/.f32 1 (-.f32 64 (pow.f32 (.f32 u 8) 3))) (+.f32 256 (.f32 16 (+.f32 (pow.f32 (.f32 u 8) 2) (*.f32 32 u)))))
(.f32 (/.f32 16 (+.f32 16 (.f32 (.f32 u u) -64))) (+.f32 4 (.f32 u 8)))
(.f32 (/.f32 16 (-.f32 64 (pow.f32 (.f32 u 8) 3))) (+.f32 16 (+.f32 (pow.f32 (.f32 u 8) 2) (.f32 32 u))))
(.f32 (/.f32 1 (+.f32 (.f32 u 8) -4)) -16)
(.f32 (/.f32 16 (neg.f32 (+.f32 16 (.f32 (.f32 u u) -64)))) (neg.f32 (+.f32 4 (.f32 u 8))))
(.f32 (/.f32 16 (neg.f32 (-.f32 64 (pow.f32 (.f32 u 8) 3)))) (neg.f32 (+.f32 16 (+.f32 (pow.f32 (.f32 u 8) 2) (.f32 32 u)))))
(.f32 (/.f32 16 (-.f32 16 (.f32 (.f32 u -8) (.f32 u -8)))) (+.f32 4 (*.f32 u 8)))
(.f32 (/.f32 16 (+.f32 64 (pow.f32 (.f32 u -8) 3))) (+.f32 16 (.f32 (.f32 u -8) (-.f32 (*.f32 u -8) 4))))
(.f32 (/.f32 -16 (neg.f32 (+.f32 16 (.f32 (.f32 u u) -64)))) (+.f32 4 (.f32 u 8)))
(.f32 (/.f32 -16 (neg.f32 (-.f32 64 (pow.f32 (.f32 u 8) 3)))) (+.f32 16 (+.f32 (pow.f32 (.f32 u 8) 2) (.f32 32 u))))
(.f32 (/.f32 (/.f32 16 (sqrt.f32 (+.f32 4 (.f32 u -8)))) (sqrt.f32 (-.f32 64 (pow.f32 (.f32 u 8) 3)))) (sqrt.f32 (+.f32 16 (+.f32 (pow.f32 (.f32 u 8) 2) (*.f32 32 u)))))
(.f32 (/.f32 (/.f32 16 (sqrt.f32 (+.f32 4 (.f32 u -8)))) (sqrt.f32 (+.f32 16 (.f32 (.f32 u u) -64)))) (sqrt.f32 (+.f32 4 (*.f32 u 8))))
(.f32 (/.f32 (/.f32 16 (pow.f32 (cbrt.f32 (+.f32 4 (.f32 u -8))) 2)) (cbrt.f32 (-.f32 64 (pow.f32 (.f32 u 8) 3)))) (cbrt.f32 (+.f32 16 (+.f32 (pow.f32 (.f32 u 8) 2) (*.f32 32 u)))))
(.f32 (/.f32 (/.f32 16 (pow.f32 (cbrt.f32 (+.f32 4 (.f32 u -8))) 2)) (cbrt.f32 (+.f32 16 (.f32 (.f32 u u) -64)))) (cbrt.f32 (+.f32 4 (*.f32 u 8))))
(pow.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) 1)
(pow.f32 (/.f32 1 (sqrt.f32 (-.f32 1/4 (/.f32 u 2)))) 2)
(pow.f32 (/.f32 1 (cbrt.f32 (-.f32 1/4 (/.f32 u 2)))) 3)
(pow.f32 (pow.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) 3) 1/3)
(pow.f32 (-.f32 1/4 (/.f32 u 2)) -1)
(sqrt.f32 (pow.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) 2))
(log.f32 (exp.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))))))
(cbrt.f32 (pow.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) 3))
(expm1.f32 (log1p.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2)))))
(exp.f32 (neg.f32 (log.f32 (-.f32 1/4 (/.f32 u 2)))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (-.f32 1/4 (/.f32 u 2)))) 1))
(log1p.f32 (expm1.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2)))))

Outputs
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (+.f32 4 (.f32 u -8))))
(*.f32 -16 (/.f32 s (fma.f32 u 8 -4)))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (+.f32 4 (.f32 u -8))))
(*.f32 -16 (/.f32 s (fma.f32 u 8 -4)))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (+.f32 4 (.f32 u -8))))
(*.f32 -16 (/.f32 s (fma.f32 u 8 -4)))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (+.f32 4 (.f32 u -8))))
(*.f32 -16 (/.f32 s (fma.f32 u 8 -4)))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (+.f32 4 (.f32 u -8))))
(*.f32 -16 (/.f32 s (fma.f32 u 8 -4)))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (+.f32 4 (.f32 u -8))))
(*.f32 -16 (/.f32 s (fma.f32 u 8 -4)))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (+.f32 4 (.f32 u -8))))
(*.f32 -16 (/.f32 s (fma.f32 u 8 -4)))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (+.f32 4 (.f32 u -8))))
(*.f32 -16 (/.f32 s (fma.f32 u 8 -4)))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (+.f32 4 (.f32 u -8))))
(*.f32 -16 (/.f32 s (fma.f32 u 8 -4)))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (+.f32 4 (.f32 u -8))))
(*.f32 -16 (/.f32 s (fma.f32 u 8 -4)))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (+.f32 4 (.f32 u -8))))
(*.f32 -16 (/.f32 s (fma.f32 u 8 -4)))
(.f32 16 (/.f32 s (-.f32 4 (.f32 8 u))))
(.f32 16 (/.f32 s (+.f32 4 (.f32 u -8))))
(*.f32 -16 (/.f32 s (fma.f32 u 8 -4)))
(*.f32 4 s)
(*.f32 s 4)
(+.f32 (.f32 4 s) (.f32 8 (*.f32 s u)))
(fma.f32 4 s (.f32 8 (.f32 s u)))
(fma.f32 4 s (.f32 s (.f32 8 u)))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 4 s) (.f32 8 (*.f32 s u))))
(fma.f32 16 (.f32 s (.f32 u u)) (fma.f32 4 s (.f32 8 (.f32 s u))))
(fma.f32 16 (.f32 s (.f32 u u)) (fma.f32 4 s (.f32 s (.f32 8 u))))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 4 s) (+.f32 (.f32 8 (.f32 s u)) (.f32 32 (*.f32 s (pow.f32 u 3))))))
(fma.f32 16 (.f32 s (.f32 u u)) (fma.f32 4 s (fma.f32 8 (.f32 s u) (.f32 32 (*.f32 s (pow.f32 u 3))))))
(fma.f32 16 (.f32 s (.f32 u u)) (fma.f32 4 s (fma.f32 8 (.f32 s u) (.f32 (pow.f32 u 3) (*.f32 s 32)))))
(*.f32 -2 (/.f32 s u))
(+.f32 (.f32 -1 (/.f32 s (pow.f32 u 2))) (.f32 -2 (/.f32 s u)))
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(/.f32 -1 (+.f32 -1/4 (/.f32 u 2)))
(cbrt.f32 (pow.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) 3))
(/.f32 1 (-.f32 1/4 (/.f32 u 2)))
(/.f32 -1 (+.f32 -1/4 (/.f32 u 2)))
(expm1.f32 (log1p.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2)))))
(/.f32 1 (-.f32 1/4 (/.f32 u 2)))
(/.f32 -1 (+.f32 -1/4 (/.f32 u 2)))
(exp.f32 (neg.f32 (log.f32 (-.f32 1/4 (/.f32 u 2)))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (-.f32 1/4 (/.f32 u 2)))) 1))
(exp.f32 (neg.f32 (log.f32 (-.f32 1/4 (/.f32 u 2)))))
(log1p.f32 (expm1.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2)))))
(/.f32 1 (-.f32 1/4 (/.f32 u 2)))
(/.f32 -1 (+.f32 -1/4 (/.f32 u 2)))

localize77.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 27 computations (41.3% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite114.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`unswap-sqr`
948×	`swap-sqr`
580×	`distribute-rgt-in`
532×	`distribute-lft-in`
412×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	292	54
2	3646	54

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

Outputs

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

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

simplify135.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1602×	`associate-/r/`
804×	`associate-r`
670×	`associate-l`
636×	`associate-+r+`
630×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	379	11152
1	1245	10810
2	5753	10726

Stop Event

1×	node limit

Counts

158 → 214

Calls

Call 1

Inputs
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (*.f32 16 (pow.f32 u 2))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (*.f32 16 (pow.f32 u 2))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (*.f32 16 (pow.f32 u 2))))
(.f32 s (+.f32 (log.f32 (+.f32 1 (.f32 4 u))) (*.f32 16 (pow.f32 u 2))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 s (+.f32 (.f32 16 (pow.f32 u 2)) (log.f32 (+.f32 1 (*.f32 4 u)))))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (*.f32 -16 (pow.f32 u 2)))))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (*.f32 -16 (pow.f32 u 2)))))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (*.f32 -16 (pow.f32 u 2)))))
(.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (+.f32 1 (.f32 4 u)))) (*.f32 -16 (pow.f32 u 2)))))
(.f32 4 (.f32 s u))
(+.f32 (.f32 (+.f32 (.f32 -8 s) (.f32 16 s)) (pow.f32 u 2)) (.f32 4 (*.f32 s u)))
(+.f32 (.f32 (+.f32 (.f32 -8 s) (.f32 16 s)) (pow.f32 u 2)) (+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (.f32 4 (*.f32 s u))))
(+.f32 (.f32 (+.f32 (.f32 -8 s) (.f32 16 s)) (pow.f32 u 2)) (+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 -64 (*.f32 s (pow.f32 u 4))))))
(.f32 16 (.f32 s (pow.f32 u 2)))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (.f32 16 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 4))) (+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (.f32 1/4 (/.f32 s u)))))
(.f32 16 (.f32 s (pow.f32 u 2)))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4)))))
(+.f32 (.f32 16 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 -4))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 16 (.f32 s (*.f32 u u))))) 1)
(pow.f32 (.f32 16 (.f32 s (*.f32 u u))) 1)
(pow.f32 (.f32 (sqrt.f32 s) (.f32 u 4)) 2)
(pow.f32 (cbrt.f32 (.f32 16 (.f32 s (*.f32 u u)))) 3)
(pow.f32 (pow.f32 (.f32 16 (.f32 s (*.f32 u u))) 3) 1/3)
(sqrt.f32 (.f32 (.f32 (*.f32 s s) 256) (pow.f32 u 4)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 s) 16) (*.f32 u u)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 16 (.f32 s (*.f32 u u))))))
(cbrt.f32 (pow.f32 (.f32 16 (.f32 s (*.f32 u u))) 3))
(expm1.f32 (log1p.f32 (.f32 16 (.f32 s (*.f32 u u)))))
(exp.f32 (log.f32 (.f32 16 (.f32 s (*.f32 u u)))))
(exp.f32 (.f32 (log.f32 (.f32 16 (.f32 s (.f32 u u)))) 1))
(log1p.f32 (expm1.f32 (.f32 16 (.f32 s (*.f32 u u)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 s (log1p.f32 (.f32 u 4))))) (-.f32 1 (.f32 16 (.f32 s (*.f32 u u)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) 1)
(-.f32 (exp.f32 (log1p.f32 (.f32 16 (.f32 s (.f32 u u))))) (-.f32 1 (.f32 s (log1p.f32 (*.f32 u 4)))))
(-.f32 (/.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4))))) (/.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (*.f32 u 4))))))
(-.f32 (+.f32 (.f32 16 (.f32 s (.f32 u u))) (exp.f32 (log1p.f32 (.f32 s (log1p.f32 (*.f32 u 4)))))) 1)
(-.f32 (+.f32 (.f32 s (log1p.f32 (.f32 u 4))) (exp.f32 (log1p.f32 (.f32 16 (.f32 s (*.f32 u u)))))) 1)
(.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))
(.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u)))) 1)
(.f32 1 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u)))))
(.f32 (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u))))))
(.f32 (sqrt.f32 s) (+.f32 (.f32 (sqrt.f32 s) (.f32 16 (.f32 u u))) (.f32 (sqrt.f32 s) (log1p.f32 (.f32 u 4)))))
(.f32 (sqrt.f32 s) (+.f32 (.f32 (sqrt.f32 s) (log1p.f32 (.f32 u 4))) (.f32 (sqrt.f32 s) (.f32 16 (.f32 u u)))))
(.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) (pow.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u))))) 2))
(.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) 2) (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u))))))
(.f32 (pow.f32 (cbrt.f32 s) 2) (+.f32 (.f32 (cbrt.f32 s) (.f32 16 (.f32 u u))) (.f32 (cbrt.f32 s) (log1p.f32 (.f32 u 4)))))
(.f32 (pow.f32 (cbrt.f32 s) 2) (+.f32 (.f32 (cbrt.f32 s) (log1p.f32 (.f32 u 4))) (.f32 (cbrt.f32 s) (.f32 16 (.f32 u u)))))
(.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2))) (/.f32 1 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (*.f32 u 4))))))
(.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (/.f32 1 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))))
(.f32 (/.f32 1 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4))))) (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (*.f32 u 4)) 2))))
(.f32 (/.f32 1 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))) (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)))
(.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2))) (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2)))) (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u)))))
(.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2))) (-.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3))) (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))))
(.f32 (/.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (-.f32 (.f32 (.f32 (pow.f32 u 4) (pow.f32 u 4)) (.f32 65536 (.f32 s (pow.f32 s 3)))) (.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))))) (-.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))))
(.f32 (/.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (+.f32 (pow.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) 3) (pow.f32 (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) 3))) (+.f32 (.f32 (.f32 (pow.f32 u 4) (pow.f32 u 4)) (.f32 65536 (.f32 s (pow.f32 s 3)))) (.f32 (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) (-.f32 (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u)))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u)))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) 2))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u))))) 2))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u))))) 2))))
(.f32 (.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) (sqrt.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))) (.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) (sqrt.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u))))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) 2)) (cbrt.f32 (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) 2)) (cbrt.f32 (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u))))))))
(/.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))) (/.f32 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4)))) (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4))))))
(/.f32 1 (/.f32 1 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))
(/.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2))) (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4)))))
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(/.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) (/.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))
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(/.f32 (.f32 (.f32 s s) (-.f32 (pow.f32 (log1p.f32 (.f32 u 4)) 2) (.f32 (pow.f32 u 4) 256))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3)) (.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3))) (.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) (-.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3))))
(/.f32 (-.f32 (.f32 (.f32 (pow.f32 u 4) (pow.f32 u 4)) (.f32 65536 (.f32 s (pow.f32 s 3)))) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3))) (.f32 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4)))) (.f32 (.f32 s s) (+.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2)))))
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(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3))) (neg.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u))))))))
(/.f32 (.f32 (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) (sqrt.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)))) (sqrt.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))))
(/.f32 (.f32 (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) (sqrt.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2))))) (sqrt.f32 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (*.f32 u 4))))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) 2) (cbrt.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)))) (cbrt.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) 2) (cbrt.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2))))) (cbrt.f32 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (*.f32 u 4))))))
(/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2))) 1) (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (*.f32 u 4)))))
(/.f32 (.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) 1) (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))))
(/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (pow.f32 (log1p.f32 (.f32 u 4)) 2) (.f32 (pow.f32 u 4) 256))) 1) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u)))))
(/.f32 (.f32 (neg.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2)))) 1) (.f32 (neg.f32 s) (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (*.f32 u 4)))))
(/.f32 (.f32 (neg.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3))) 1) (neg.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))))
(/.f32 (.f32 (sqrt.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3))) (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) (sqrt.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))))
(/.f32 (.f32 (sqrt.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2)))) (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))) (sqrt.f32 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (*.f32 u 4))))))
(/.f32 (.f32 (cbrt.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3))) (pow.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) 2)) (cbrt.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))))
(/.f32 (.f32 (cbrt.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2)))) (pow.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) 2)) (cbrt.f32 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (*.f32 u 4))))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 (pow.f32 u 4) (pow.f32 u 4)) (.f32 65536 (.f32 s (pow.f32 s 3)))) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3))) (/.f32 1 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4)))))) (.f32 (.f32 s s) (+.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) 3) (pow.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) 3)) (/.f32 1 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4)))))) (+.f32 (.f32 (.f32 (pow.f32 u 4) (pow.f32 u 4)) (.f32 65536 (.f32 s (pow.f32 s 3)))) (.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 2) (.f32 (.f32 s s) (+.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (*.f32 u 4)) 2))))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3)) (.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3))) (/.f32 1 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))))) (-.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)))
(/.f32 (.f32 (+.f32 (pow.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) 3) (pow.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) 3)) (/.f32 1 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))))) (+.f32 (.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3)) (.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (-.f32 (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3) (pow.f32 (.f32 16 (.f32 s (*.f32 u u))) 3)))))
(/.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2))) s) (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (*.f32 u 4))))
(/.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2))) 1) (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4)))))
(/.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2))) (sqrt.f32 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4)))))) (sqrt.f32 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4))))))
(/.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2))) (.f32 (cbrt.f32 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4))))) (cbrt.f32 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4))))))) (cbrt.f32 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (*.f32 u 4))))))
(/.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2))) (.f32 (sqrt.f32 s) (+.f32 (.f32 u 4) (sqrt.f32 (log1p.f32 (.f32 u 4)))))) (.f32 (sqrt.f32 s) (-.f32 (.f32 u 4) (sqrt.f32 (log1p.f32 (.f32 u 4))))))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) 1) (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u)))))))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (sqrt.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))))) (sqrt.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u))))))))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (.f32 (cbrt.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))) (cbrt.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))))) (cbrt.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))))
(pow.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))) 1)
(pow.f32 (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) 2)
(pow.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) 3)
(pow.f32 (pow.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))) 3) 1/3)
(neg.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2))) (.f32 (neg.f32 s) (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (neg.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u)))))))))
(sqrt.f32 (pow.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))) 2))
(log.f32 (exp.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))))
(cbrt.f32 (pow.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))) 3))
(expm1.f32 (log1p.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))
(exp.f32 (log.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))
(exp.f32 (.f32 (log.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u))))) 1))
(log1p.f32 (expm1.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))
(fma.f32 s (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 s (.f32 u u))))
(fma.f32 s (.f32 16 (.f32 u u)) (.f32 s (log1p.f32 (.f32 u 4))))
(fma.f32 (.f32 s 16) (.f32 u u) (.f32 s (log1p.f32 (.f32 u 4))))
(fma.f32 (.f32 u u) (.f32 s 16) (.f32 s (log1p.f32 (.f32 u 4))))
(fma.f32 (log1p.f32 (.f32 u 4)) s (.f32 16 (.f32 s (.f32 u u))))
(fma.f32 1 (.f32 16 (.f32 s (.f32 u u))) (.f32 s (log1p.f32 (*.f32 u 4))))
(fma.f32 1 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 16 (.f32 s (*.f32 u u))))
(fma.f32 (.f32 (sqrt.f32 s) (.f32 u 4)) (.f32 (sqrt.f32 s) (.f32 u 4)) (.f32 s (log1p.f32 (.f32 u 4))))
(fma.f32 (sqrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) (sqrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) (.f32 16 (.f32 s (*.f32 u u))))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 16 (.f32 s (.f32 u u)))) 2) (cbrt.f32 (.f32 16 (.f32 s (.f32 u u)))) (.f32 s (log1p.f32 (.f32 u 4))))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) 2) (cbrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) (.f32 16 (.f32 s (*.f32 u u))))
(fma.f32 (.f32 s (.f32 16 u)) u (.f32 s (log1p.f32 (.f32 u 4))))

Outputs
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 (.f32 16 s) (*.f32 u u))
(.f32 s (.f32 16 (*.f32 u u)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 (.f32 16 s) (*.f32 u u))
(.f32 s (.f32 16 (*.f32 u u)))
(.f32 16 (.f32 s (pow.f32 u 2)))
(.f32 (.f32 16 s) (*.f32 u u))
(.f32 s (.f32 16 (*.f32 u u)))
(.f32 16 (.f32 s (pow.f32 u 2)))
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(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) 1) (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u)))))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 16 s) (.f32 u u)) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (fma.f32 (.f32 s (.f32 s 256)) (pow.f32 u 4) (.f32 (.f32 (.f32 s (log1p.f32 (.f32 u 4))) s) (+.f32 (log1p.f32 (.f32 u 4)) (.f32 (.f32 u u) -16)))))
(/.f32 (fma.f32 4096 (pow.f32 (.f32 s (.f32 u u)) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (fma.f32 s (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (+.f32 (.f32 u (.f32 u -16)) (log1p.f32 (.f32 u 4)))) (.f32 s (.f32 s (*.f32 (pow.f32 u 4) 256)))))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (sqrt.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))))) (sqrt.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u))))))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 16 s) (.f32 u u)) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (fma.f32 (.f32 s (.f32 s 256)) (pow.f32 u 4) (.f32 (.f32 (.f32 s (log1p.f32 (.f32 u 4))) s) (+.f32 (log1p.f32 (.f32 u 4)) (.f32 (.f32 u u) -16)))))
(/.f32 (fma.f32 4096 (pow.f32 (.f32 s (.f32 u u)) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (fma.f32 s (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (+.f32 (.f32 u (.f32 u -16)) (log1p.f32 (.f32 u 4)))) (.f32 s (.f32 s (*.f32 (pow.f32 u 4) 256)))))
(/.f32 (/.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (.f32 (cbrt.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))) (cbrt.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))))) (cbrt.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 16 s) (.f32 u u)) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (fma.f32 (.f32 s (.f32 s 256)) (pow.f32 u 4) (.f32 (.f32 (.f32 s (log1p.f32 (.f32 u 4))) s) (+.f32 (log1p.f32 (.f32 u 4)) (.f32 (.f32 u u) -16)))))
(/.f32 (fma.f32 4096 (pow.f32 (.f32 s (.f32 u u)) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (fma.f32 s (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (+.f32 (.f32 u (.f32 u -16)) (log1p.f32 (.f32 u 4)))) (.f32 s (.f32 s (*.f32 (pow.f32 u 4) 256)))))
(pow.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))) 1)
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(pow.f32 (sqrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) 2)
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(pow.f32 (cbrt.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))) 3)
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(pow.f32 (pow.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))) 3) 1/3)
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(neg.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2))) (.f32 (neg.f32 s) (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4))))))
(/.f32 (.f32 s s) (/.f32 (.f32 s (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4)))) (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (*.f32 u 4)) 2))))
(.f32 (/.f32 s 1) (/.f32 (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2)) (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4)))))
(.f32 s (/.f32 (-.f32 (.f32 (pow.f32 u 4) 256) (pow.f32 (log1p.f32 (.f32 u 4)) 2)) (-.f32 (.f32 16 (.f32 u u)) (log1p.f32 (.f32 u 4)))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (.f32 16 (.f32 s (.f32 u u))) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (neg.f32 (+.f32 (.f32 (.f32 (.f32 s s) 256) (pow.f32 u 4)) (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 s (-.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u)))))))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 16 s) (.f32 u u)) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (fma.f32 (.f32 s (.f32 s 256)) (pow.f32 u 4) (.f32 (.f32 (.f32 s (log1p.f32 (.f32 u 4))) s) (+.f32 (log1p.f32 (.f32 u 4)) (.f32 (.f32 u u) -16)))))
(/.f32 (fma.f32 4096 (pow.f32 (.f32 s (.f32 u u)) 3) (pow.f32 (.f32 s (log1p.f32 (.f32 u 4))) 3)) (fma.f32 s (.f32 (.f32 s (log1p.f32 (.f32 u 4))) (+.f32 (.f32 u (.f32 u -16)) (log1p.f32 (.f32 u 4)))) (.f32 s (.f32 s (*.f32 (pow.f32 u 4) 256)))))
(sqrt.f32 (pow.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))) 2))
(sqrt.f32 (pow.f32 (.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4)))) 2))
(fabs.f32 (.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4)))))
(log.f32 (exp.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(cbrt.f32 (pow.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u)))) 3))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(expm1.f32 (log1p.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(exp.f32 (log.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(exp.f32 (.f32 (log.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (*.f32 u u))))) 1))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(log1p.f32 (expm1.f32 (.f32 s (+.f32 (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 u u))))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(fma.f32 s (log1p.f32 (.f32 u 4)) (.f32 16 (.f32 s (.f32 u u))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(fma.f32 s (.f32 16 (.f32 u u)) (.f32 s (log1p.f32 (.f32 u 4))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(fma.f32 (.f32 s 16) (.f32 u u) (.f32 s (log1p.f32 (.f32 u 4))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(fma.f32 (.f32 u u) (.f32 s 16) (.f32 s (log1p.f32 (.f32 u 4))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(fma.f32 (log1p.f32 (.f32 u 4)) s (.f32 16 (.f32 s (.f32 u u))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(fma.f32 1 (.f32 16 (.f32 s (.f32 u u))) (.f32 s (log1p.f32 (*.f32 u 4))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(fma.f32 1 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 16 (.f32 s (*.f32 u u))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(fma.f32 (.f32 (sqrt.f32 s) (.f32 u 4)) (.f32 (sqrt.f32 s) (.f32 u 4)) (.f32 s (log1p.f32 (.f32 u 4))))
(+.f32 (pow.f32 (.f32 (sqrt.f32 s) (.f32 u 4)) 2) (.f32 s (log1p.f32 (.f32 u 4))))
(+.f32 (pow.f32 (.f32 4 (.f32 u (sqrt.f32 s))) 2) (.f32 s (log1p.f32 (.f32 u 4))))
(fma.f32 (sqrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) (sqrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) (.f32 16 (.f32 s (*.f32 u u))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 16 (.f32 s (.f32 u u)))) 2) (cbrt.f32 (.f32 16 (.f32 s (.f32 u u)))) (.f32 s (log1p.f32 (.f32 u 4))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) 2) (cbrt.f32 (.f32 s (log1p.f32 (.f32 u 4)))) (.f32 16 (.f32 s (*.f32 u u))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))
(fma.f32 (.f32 s (.f32 16 u)) u (.f32 s (log1p.f32 (.f32 u 4))))
(.f32 s (fma.f32 16 (.f32 u u) (log1p.f32 (*.f32 u 4))))

localize56.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f32 (+.f32 1 (*.f32 u -4)) -1/2)
✓	0.3b	(.f32 s (.f32 2 (log.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2))))
✓	15.2b	(log.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2))

Compiler

Compiled 53 to 44 computations (17% saved)

series110.0ms (0.8%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
105.0ms	s	@	0	(.f32 s (.f32 2 (log.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2))))
2.0ms	u	@	-inf	(log.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2))
1.0ms	s	@	inf	(.f32 s (.f32 2 (log.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2))))
1.0ms	u	@	inf	(log.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2))
0.0ms	u	@	0	(log.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`unswap-sqr`
842×	`swap-sqr`
604×	`distribute-rgt-in`
564×	`distribute-lft-in`
348×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	77
1	306	55
2	3527	55

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1/2 (log1p.f32 (*.f32 u -4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 -1/2 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (fma.f32 u -4 1) -1/4)) (log.f32 (pow.f32 (fma.f32 u -4 1) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1))) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (fma.f32 u -4 1) -1/4))) (log.f32 (pow.f32 (fma.f32 u -4 1) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1)))) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 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-4 1)) 2)) -1/2) (*.f32 (log.f32 (cbrt.f32 (fma.f32 u -4 1))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 u -4 1))) -1/2) (*.f32 (log.f32 (sqrt.f32 (fma.f32 u -4 1))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 -1/2 (log1p.f32 (*.f32 u -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (*.f32 -1/2 (log1p.f32 (*.f32 u -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 -1/2 (log1p.f32 (*.f32 u -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (log1p.f32 (*.f32 u -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -1/2 (log1p.f32 (*.f32 u -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (pow.f32 (fma.f32 u -4 1) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 -1/2 (log1p.f32 (*.f32 u -4)))) (sqrt.f32 (*.f32 -1/2 (log1p.f32 (*.f32 u -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1166×	`unswap-sqr`
972×	`distribute-lft-in`
928×	`distribute-rgt-in`
656×	`associate-+r+`
540×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	373	6070
1	1016	5164
2	2976	4980

Stop Event

1×	node limit

Counts

152 → 263

Calls

Call 1

Inputs
(*.f32 2 u)
(+.f32 (.f32 2 u) (.f32 4 (pow.f32 u 2)))
(+.f32 (.f32 32/3 (pow.f32 u 3)) (+.f32 (.f32 2 u) (*.f32 4 (pow.f32 u 2))))
(+.f32 (.f32 32/3 (pow.f32 u 3)) (+.f32 (.f32 32 (pow.f32 u 4)) (+.f32 (.f32 2 u) (.f32 4 (pow.f32 u 2)))))
(.f32 -1/2 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))
(+.f32 (.f32 1/8 (/.f32 1 u)) (.f32 -1/2 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/8 (/.f32 1 u)) (.f32 -1/2 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))))
(+.f32 (.f32 1/384 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/8 (/.f32 1 u)) (.f32 -1/2 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))))
(.f32 -1/2 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))
(+.f32 (.f32 1/8 (/.f32 1 u)) (.f32 -1/2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/8 (/.f32 1 u)) (.f32 -1/2 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))))
(+.f32 (.f32 1/384 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/8 (/.f32 1 u)) (.f32 -1/2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
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1
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(.f32 (.f32 (sqrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4)) (pow.f32 (sqrt.f32 (fma.f32 u -4 1)) -1/4)) (*.f32 (sqrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4)) (pow.f32 (sqrt.f32 (fma.f32 u -4 1)) -1/4)))
(.f32 (.f32 (pow.f32 (fma.f32 u -4 1) -1/8) (pow.f32 (sqrt.f32 (fma.f32 u -4 1)) -1/4)) (*.f32 (pow.f32 (fma.f32 u -4 1) -1/8) (pow.f32 (sqrt.f32 (fma.f32 u -4 1)) -1/4)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4)) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))) (*.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4)) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1)))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1)))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4)) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1)))) (*.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4)) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1)))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2)))) (*.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4))))
(sqrt.f32 (pow.f32 (fma.f32 u -4 1) -1))
(log.f32 (exp.f32 (pow.f32 (fma.f32 u -4 1) -1/2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (fma.f32 u -4 1) -1/2))))
(cbrt.f32 (pow.f32 (pow.f32 (fma.f32 u -4 1) -1/2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4 1) -1/2)))
(exp.f32 (.f32 -1/2 (log1p.f32 (.f32 u -4))))
(log1p.f32 (expm1.f32 (pow.f32 (fma.f32 u -4 1) -1/2)))

Outputs
(*.f32 2 u)
(+.f32 (.f32 2 u) (.f32 4 (pow.f32 u 2)))
(fma.f32 2 u (.f32 4 (.f32 u u)))
(fma.f32 2 u (.f32 u (.f32 u 4)))
(.f32 u (+.f32 2 (.f32 u 4)))
(+.f32 (.f32 32/3 (pow.f32 u 3)) (+.f32 (.f32 2 u) (*.f32 4 (pow.f32 u 2))))
(fma.f32 32/3 (pow.f32 u 3) (fma.f32 2 u (.f32 4 (.f32 u u))))
(fma.f32 32/3 (pow.f32 u 3) (fma.f32 2 u (.f32 u (.f32 u 4))))
(fma.f32 32/3 (pow.f32 u 3) (.f32 u (+.f32 2 (.f32 u 4))))
(+.f32 (.f32 32/3 (pow.f32 u 3)) (+.f32 (.f32 32 (pow.f32 u 4)) (+.f32 (.f32 2 u) (.f32 4 (pow.f32 u 2)))))
(fma.f32 32/3 (pow.f32 u 3) (fma.f32 32 (pow.f32 u 4) (fma.f32 2 u (.f32 4 (.f32 u u)))))
(fma.f32 32/3 (pow.f32 u 3) (fma.f32 32 (pow.f32 u 4) (fma.f32 2 u (.f32 u (.f32 u 4)))))
(fma.f32 32/3 (pow.f32 u 3) (fma.f32 32 (pow.f32 u 4) (.f32 u (+.f32 2 (.f32 u 4)))))
(.f32 -1/2 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))
(*.f32 -1/2 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))
(*.f32 -1/2 (+.f32 (log.f32 u) (log.f32 -4)))
(+.f32 (.f32 1/8 (/.f32 1 u)) (.f32 -1/2 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (*.f32 -1/2 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (/.f32 1/8 u))
(fma.f32 -1/2 (+.f32 (log.f32 u) (log.f32 -4)) (/.f32 1/8 u))
(+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/8 (/.f32 1 u)) (.f32 -1/2 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))))
(+.f32 (+.f32 (/.f32 1/64 (.f32 u u)) (/.f32 1/8 u)) (.f32 -1/2 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))))
(+.f32 (fma.f32 -1/2 (+.f32 (log.f32 u) (log.f32 -4)) (/.f32 1/8 u)) (/.f32 1/64 (*.f32 u u)))
(+.f32 (.f32 1/384 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/8 (/.f32 1 u)) (.f32 -1/2 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))))
(+.f32 (+.f32 (+.f32 (/.f32 1/64 (.f32 u u)) (/.f32 1/8 u)) (.f32 -1/2 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (/.f32 1/384 (pow.f32 u 3)))
(+.f32 (fma.f32 -1/2 (+.f32 (log.f32 u) (log.f32 -4)) (/.f32 1/8 u)) (+.f32 (/.f32 1/64 (*.f32 u u)) (/.f32 1/384 (pow.f32 u 3))))
(.f32 -1/2 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))
(*.f32 -1/2 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)))
(*.f32 -1/2 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))
(+.f32 (.f32 1/8 (/.f32 1 u)) (.f32 -1/2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(+.f32 (/.f32 1/8 u) (*.f32 -1/2 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))))
(fma.f32 -1/2 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 1/8 u))
(+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/8 (/.f32 1 u)) (.f32 -1/2 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))))
(+.f32 (+.f32 (/.f32 1/64 (.f32 u u)) (/.f32 1/8 u)) (.f32 -1/2 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))))
(+.f32 (/.f32 1/64 (*.f32 u u)) (fma.f32 -1/2 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 1/8 u)))
(+.f32 (.f32 1/384 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/8 (/.f32 1 u)) (.f32 -1/2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))))
(+.f32 (/.f32 1/384 (pow.f32 u 3)) (+.f32 (+.f32 (/.f32 1/64 (.f32 u u)) (/.f32 1/8 u)) (.f32 -1/2 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)))))
(+.f32 (/.f32 1/64 (*.f32 u u)) (+.f32 (fma.f32 -1/2 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 1/8 u)) (/.f32 1/384 (pow.f32 u 3))))
(+.f32 (fma.f32 -1/2 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 1/8 u)) (+.f32 (/.f32 1/64 (*.f32 u u)) (/.f32 1/384 (pow.f32 u 3))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
(.f32 (.f32 2 s) (*.f32 -1/2 (log.f32 (fma.f32 u -4 1))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
(.f32 (.f32 2 s) (*.f32 -1/2 (log.f32 (fma.f32 u -4 1))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
(.f32 (.f32 2 s) (*.f32 -1/2 (log.f32 (fma.f32 u -4 1))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
(.f32 (.f32 2 s) (*.f32 -1/2 (log.f32 (fma.f32 u -4 1))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
(.f32 (.f32 2 s) (*.f32 -1/2 (log.f32 (fma.f32 u -4 1))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
(.f32 (.f32 2 s) (*.f32 -1/2 (log.f32 (fma.f32 u -4 1))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
(.f32 (.f32 2 s) (*.f32 -1/2 (log.f32 (fma.f32 u -4 1))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
(.f32 (.f32 2 s) (*.f32 -1/2 (log.f32 (fma.f32 u -4 1))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
(.f32 (.f32 2 s) (*.f32 -1/2 (log.f32 (fma.f32 u -4 1))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
(.f32 (.f32 2 s) (*.f32 -1/2 (log.f32 (fma.f32 u -4 1))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
(.f32 (.f32 2 s) (*.f32 -1/2 (log.f32 (fma.f32 u -4 1))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 2 (.f32 s (log.f32 (pow.f32 (+.f32 (*.f32 -4 u) 1) -1/2))))
(.f32 (.f32 2 s) (*.f32 -1/2 (log.f32 (fma.f32 u -4 1))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 4 (.f32 s u))
(.f32 (.f32 4 s) u)
(.f32 u (.f32 4 s))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(fma.f32 4 (.f32 u s) (.f32 (.f32 8 s) (.f32 u u)))
(fma.f32 (.f32 s 8) (.f32 u u) (.f32 u (.f32 4 s)))
(.f32 u (+.f32 (.f32 4 s) (.f32 (.f32 s 8) u)))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 (.f32 8 s) (*.f32 u u))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 (.f32 s 8) (.f32 u u) (.f32 u (*.f32 4 s))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (.f32 u (+.f32 (.f32 4 s) (.f32 (*.f32 s 8) 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))))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 (.f32 u u) s) (.f32 64 (.f32 (pow.f32 u 4) s)))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (fma.f32 8 (.f32 u (.f32 u s)) (.f32 (pow.f32 u 4) (.f32 s 64)))))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 s (+.f32 (.f32 (.f32 u u) 8) (.f32 (pow.f32 u 4) 64)))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(neg.f32 (*.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) s))
(*.f32 (+.f32 (log.f32 u) (log.f32 -4)) (neg.f32 s))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))
(fma.f32 -1 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) s) (.f32 1/4 (/.f32 s u)))
(fma.f32 (neg.f32 s) (+.f32 (log.f32 u) (log.f32 -4)) (*.f32 1/4 (/.f32 s u)))
(+.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 (/.f32 s u) u) (fma.f32 (neg.f32 s) (+.f32 (log.f32 u) (log.f32 -4)) (*.f32 1/4 (/.f32 s u))))
(-.f32 (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))) (.f32 (+.f32 (log.f32 u) (log.f32 -4)) s))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 -1 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) s) (*.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 (/.f32 s u) u) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 (neg.f32 s) (+.f32 (log.f32 u) (log.f32 -4)) (*.f32 1/4 (/.f32 s u)))))
(+.f32 (fma.f32 (neg.f32 s) (+.f32 (log.f32 u) (log.f32 -4)) (.f32 1/4 (/.f32 s u))) (.f32 (/.f32 (/.f32 s u) u) (+.f32 1/32 (/.f32 1/192 u))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(neg.f32 (*.f32 (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 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/4 (/.f32 s u)))
(fma.f32 -1 (.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) s) (.f32 1/4 (/.f32 s u)))
(fma.f32 1/4 (/.f32 s u) (*.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (neg.f32 s)))
(-.f32 (.f32 1/4 (/.f32 s u)) (.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) s))
(+.f32 (.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 (/.f32 s u) u) (fma.f32 1/4 (/.f32 s u) (*.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (neg.f32 s))))
(-.f32 (.f32 (/.f32 s u) (+.f32 1/4 (/.f32 1/32 u))) (.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) s))
(+.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 (/.f32 s u) u) (fma.f32 (neg.f32 s) (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (fma.f32 1/4 (/.f32 s u) (*.f32 1/192 (/.f32 s (pow.f32 u 3))))))
(+.f32 (-.f32 (.f32 1/4 (/.f32 s u)) (.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) s)) (*.f32 (/.f32 (/.f32 s u) u) (+.f32 1/32 (/.f32 1/192 u))))
1
(+.f32 1 (*.f32 2 u))
(+.f32 (*.f32 2 u) 1)
(fma.f32 2 u 1)
(+.f32 1 (+.f32 (.f32 2 u) (.f32 6 (pow.f32 u 2))))
(+.f32 1 (fma.f32 2 u (.f32 (.f32 u u) 6)))
(+.f32 1 (fma.f32 2 u (.f32 (.f32 6 u) u)))
(+.f32 1 (.f32 u (+.f32 2 (.f32 6 u))))
(+.f32 1 (+.f32 (.f32 2 u) (+.f32 (.f32 20 (pow.f32 u 3)) (*.f32 6 (pow.f32 u 2)))))
(+.f32 1 (fma.f32 2 u (fma.f32 20 (pow.f32 u 3) (.f32 (.f32 u u) 6))))
(+.f32 1 (fma.f32 2 u (fma.f32 (pow.f32 u 3) 20 (.f32 (.f32 6 u) u))))
(+.f32 (fma.f32 2 u 1) (.f32 (.f32 u u) (+.f32 6 (*.f32 u 20))))
(exp.f32 (.f32 -1/2 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(pow.f32 (exp.f32 -1/2) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))
(pow.f32 (exp.f32 -1/2) (+.f32 (log.f32 u) (log.f32 -4)))
(+.f32 (.f32 1/8 (/.f32 (exp.f32 (.f32 -1/2 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) u)) (exp.f32 (.f32 -1/2 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))))
(fma.f32 1/8 (/.f32 (pow.f32 (exp.f32 -1/2) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) u) (pow.f32 (exp.f32 -1/2) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))))
(fma.f32 1/8 (/.f32 (pow.f32 (exp.f32 -1/2) (+.f32 (log.f32 u) (log.f32 -4))) u) (pow.f32 (exp.f32 -1/2) (+.f32 (log.f32 u) (log.f32 -4))))
(+.f32 (.f32 1/8 (/.f32 (exp.f32 (.f32 -1/2 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) u)) (+.f32 (.f32 3/128 (/.f32 (exp.f32 (.f32 -1/2 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (pow.f32 u 2))) (exp.f32 (.f32 -1/2 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))))
(fma.f32 1/8 (/.f32 (pow.f32 (exp.f32 -1/2) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) u) (fma.f32 3/128 (/.f32 (pow.f32 (exp.f32 -1/2) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (*.f32 u u)) (pow.f32 (exp.f32 -1/2) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))))
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(.f32 (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4)) (sqrt.f32 (cbrt.f32 (/.f32 1 (fma.f32 u -4 1))))) (*.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4)) (sqrt.f32 (cbrt.f32 (/.f32 1 (fma.f32 u -4 1))))))
(.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4)) (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4)) (cbrt.f32 (/.f32 1 (fma.f32 u -4 1)))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2)))) (*.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2)))))
(.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))) (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2)) (*.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))))))
(.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2)) (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2)) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/2))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1))) (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4)) (sqrt.f32 (cbrt.f32 (/.f32 1 (fma.f32 u -4 1))))) (*.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4)) (sqrt.f32 (cbrt.f32 (/.f32 1 (fma.f32 u -4 1))))))
(.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4)) (.f32 (cbrt.f32 (pow.f32 (fma.f32 u -4 1) -1/4)) (cbrt.f32 (/.f32 1 (fma.f32 u -4 1)))))
(sqrt.f32 (pow.f32 (fma.f32 u -4 1) -1))
(sqrt.f32 (/.f32 1 (fma.f32 u -4 1)))
(log.f32 (exp.f32 (pow.f32 (fma.f32 u -4 1) -1/2)))
(pow.f32 (fma.f32 u -4 1) -1/2)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (fma.f32 u -4 1) -1/2))))
(pow.f32 (fma.f32 u -4 1) -1/2)
(cbrt.f32 (pow.f32 (pow.f32 (fma.f32 u -4 1) -1/2) 3))
(pow.f32 (fma.f32 u -4 1) -1/2)
(expm1.f32 (log1p.f32 (pow.f32 (fma.f32 u -4 1) -1/2)))
(pow.f32 (fma.f32 u -4 1) -1/2)
(exp.f32 (.f32 -1/2 (log1p.f32 (.f32 u -4))))
(pow.f32 (exp.f32 -1/2) (log1p.f32 (*.f32 u -4)))
(log1p.f32 (expm1.f32 (pow.f32 (fma.f32 u -4 1) -1/2)))
(pow.f32 (fma.f32 u -4 1) -1/2)

eval1.1s (8.5%)

Compiler: Compiled 45225 to 31394 computations (30.6% saved)

prune831.0ms (6.3%)

Pruning

50 alts after pruning (40 fresh and 10 done)

	Pruned	Kept	Total
New	1642	29	1671
Fresh	7	11	18
Picked	0	1	1
Done	2	9	11
Total	1651	50	1701

Error

Counts

1701 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(pow.f32 (cbrt.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)) 3)
	0.5b	(/.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 3) (/.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 u -4))) 2) s))
	13.4b	(/.f32 (/.f32 (.f32 (.f32 s (.f32 s -16)) u) s) (-.f32 (.f32 u 8) 4))
	3.5b	(/.f32 (/.f32 (.f32 (.f32 s 16) u) (+.f32 16 (.f32 (.f32 u u) -64))) (/.f32 1 (+.f32 4 (*.f32 u 8))))
	13.8b	(/.f32 (/.f32 (.f32 -16 (.f32 u (.f32 s s))) s) (-.f32 (.f32 u 8) 4))
	3.5b	(/.f32 (/.f32 u (-.f32 1/4 (/.f32 u 2))) (/.f32 1 s))
	3.5b	(/.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) (/.f32 1 u))
	4.8b	(/.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) (/.f32 (/.f32 1 s) u))
	4.7b	(/.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) (/.f32 1 (*.f32 s u)))
	12.3b	(/.f32 (.f32 (/.f32 u s) (.f32 (.f32 s s) (fma.f32 (.f32 64 u) u -16))) (-.f32 (*.f32 u 8) 4))
	3.5b	(/.f32 (*.f32 u s) (-.f32 1/4 (/.f32 u 2)))
	3.4b	(/.f32 (.f32 s (.f32 16 u)) (.f32 (/.f32 1 (+.f32 4 (.f32 8 u))) (+.f32 16 (.f32 (.f32 u u) -64))))
	3.4b	(/.f32 u (/.f32 (-.f32 1/4 (/.f32 u 2)) s))
	3.5b	(/.f32 s (/.f32 1 (/.f32 u (-.f32 1/4 (/.f32 u 2)))))
	0.4b	(/.f32 s (/.f32 1 (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (*.f32 u -16))))))
	5.4b	(/.f32 16 (/.f32 (/.f32 1 s) (.f32 (/.f32 1 (+.f32 4 (.f32 u -8))) u)))
	4.4b	(/.f32 1 (/.f32 (/.f32 1 s) (/.f32 u (-.f32 1/4 (/.f32 u 2)))))
✓	0.3b	(-.f32 (.f32 s (log1p.f32 (.f32 u 4))) (.f32 (log1p.f32 (.f32 u (*.f32 u -16))) s))
✓	2.8b	(+.f32 (.f32 (.f32 s 16) (.f32 u u)) (.f32 (log1p.f32 (*.f32 4 u)) s))
	3.6b	(.f32 (/.f32 (/.f32 16 (+.f32 16 (.f32 (.f32 u u) -64))) (/.f32 (/.f32 1 s) (+.f32 4 (.f32 u 8)))) u)
	3.5b	(*.f32 (/.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) (/.f32 1 s)) u)
	3.5b	(.f32 (/.f32 (/.f32 -16 (/.f32 1 s)) (+.f32 (.f32 u 8) -4)) u)
	3.5b	(.f32 (/.f32 (.f32 s (+.f32 4 (.f32 8 u))) (/.f32 (-.f32 16 (.f32 u (*.f32 64 u))) 16)) u)
	16.2b	(*.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) (log.f32 (exp.f32 u)))
	3.4b	(*.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) u)
	3.5b	(.f32 (/.f32 16 (/.f32 (/.f32 1 s) (/.f32 1 (+.f32 4 (.f32 u -8))))) u)
	3.5b	(.f32 (/.f32 16 (/.f32 (+.f32 4 (.f32 u -8)) s)) u)
	3.5b	(.f32 (/.f32 16 (/.f32 1 (.f32 (/.f32 1 (+.f32 4 (*.f32 u -8))) s))) u)
	3.4b	(.f32 (+.f32 (.f32 (/.f32 (.f32 s 16) (+.f32 16 (.f32 (.f32 u u) -64))) (.f32 u 8)) (.f32 (/.f32 (.f32 s 16) (+.f32 16 (.f32 (.f32 u u) -64))) 4)) u)
	3.5b	(.f32 (+.f32 4 (.f32 8 u)) (.f32 u (.f32 (/.f32 s (-.f32 16 (.f32 u (.f32 64 u)))) 16)))
	3.5b	(.f32 (.f32 (/.f32 (/.f32 16 (+.f32 16 (.f32 (.f32 u u) -64))) (/.f32 1 s)) (+.f32 4 (*.f32 8 u))) u)
	3.5b	(.f32 (.f32 (/.f32 s 1) (/.f32 (+.f32 64 (.f32 u 128)) (-.f32 16 (.f32 u (*.f32 64 u))))) u)
	3.5b	(.f32 (.f32 (/.f32 s 1) (+.f32 (.f32 (/.f32 16 (+.f32 16 (.f32 (.f32 u u) -64))) (.f32 u 8)) (.f32 (/.f32 16 (+.f32 16 (.f32 (*.f32 u u) -64))) 4))) u)
	3.5b	(.f32 (.f32 (/.f32 s 1) (.f32 (/.f32 16 (+.f32 16 (.f32 (.f32 u u) -64))) (+.f32 4 (.f32 u 8)))) u)
	2.7b	(.f32 (.f32 u (-.f32 (.f32 (.f32 u u) -64/3) (fma.f32 u 8 4))) (neg.f32 s))
✓	8.4b	(.f32 (.f32 4 s) u)
✓	0.3b	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
	4.1b	(.f32 u (.f32 s (+.f32 (*.f32 u 8) 4)))
	3.4b	(*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))
	2.9b	(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (.f32 u (.f32 u -16))))
✓	0.3b	(.f32 s (-.f32 (log1p.f32 (.f32 4 u)) (log1p.f32 (.f32 u (.f32 u -16)))))
✓	12.4b	(.f32 s (.f32 (log.f32 (sqrt.f32 (+.f32 1 (*.f32 u -4)))) -2))
✓	13.3b	(.f32 s (.f32 2 (log.f32 (pow.f32 (+.f32 1 (*.f32 u -4)) -1/2))))
✓	12.4b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
	12.5b	(.f32 s (log.f32 (.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 u -4) 3))) (+.f32 1 (+.f32 (.f32 4 u) (.f32 16 (.f32 u u)))))))
✓	1.4b	(.f32 s (exp.f32 (log.f32 (neg.f32 (log1p.f32 (.f32 u -4))))))
	29.3b	(*.f32 s -2)
	3.6b	(.f32 16 (/.f32 s (/.f32 (+.f32 4 (.f32 u -8)) u)))
✓	8.5b	(.f32 4 (.f32 u s))
	2.8b	(exp.f32 (log.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u -4))) s)))

Compiler

Compiled 801 to 616 computations (23.1% saved)

regimes352.0ms (2.7%)

Counts

82 → 1

Calls

Call 1

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

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

Calls

7 calls:

78.0ms	s
75.0ms	u
57.0ms	(-.f32 1 (*.f32 4 u))
53.0ms	(*.f32 4 u)
23.0ms	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))

Results

Error	Segments	Branch
0.3b	1	`s`
0.3b	1	`u`
0.3b	1	`(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))`
0.3b	1	`(log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u))))`
0.3b	1	`(/.f32 1 (-.f32 1 (*.f32 4 u)))`
0.3b	1	`(-.f32 1 (*.f32 4 u))`
0.3b	1	`(*.f32 4 u)`

Compiler

Compiled 1238 to 859 computations (30.6% saved)

regimes100.0ms (0.8%)

Counts

52 → 1

Calls

Call 1

Inputs
(*.f32 s -2)
(.f32 4 (.f32 u s))
(.f32 (.f32 4 s) u)
(.f32 s (.f32 u (+.f32 4 (*.f32 8 u))))
(.f32 s (.f32 (+.f32 4 (*.f32 8 u)) u))
(*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))
(.f32 u (.f32 s (+.f32 (*.f32 u 8) 4)))
(*.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) u)
(/.f32 u (/.f32 (-.f32 1/4 (/.f32 u 2)) s))
(/.f32 (*.f32 u s) (-.f32 1/4 (/.f32 u 2)))
(.f32 16 (/.f32 s (/.f32 (+.f32 4 (.f32 u -8)) u)))
(.f32 s (+.f32 (.f32 4 u) (.f32 8 (.f32 u u))))
(.f32 u (+.f32 (.f32 s (.f32 8 u)) (.f32 4 s)))
(.f32 (/.f32 16 (/.f32 (+.f32 4 (.f32 u -8)) s)) u)
(/.f32 s (/.f32 1 (/.f32 u (-.f32 1/4 (/.f32 u 2)))))
(/.f32 u (/.f32 1 (.f32 s (+.f32 (.f32 u 8) 4))))
(/.f32 (.f32 -16 (.f32 s u)) (-.f32 (*.f32 u 8) 4))
(/.f32 (.f32 (.f32 -16 s) u) (-.f32 (*.f32 u 8) 4))
(/.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) (/.f32 1 u))
(/.f32 (/.f32 u (-.f32 1/4 (/.f32 u 2))) (/.f32 1 s))
(.f32 u (/.f32 1 (/.f32 1 (.f32 s (+.f32 (*.f32 u 8) 4)))))
(.f32 (.f32 (/.f32 s 1) (/.f32 16 (-.f32 4 (*.f32 u 8)))) u)
(.f32 (/.f32 (/.f32 -16 (/.f32 1 s)) (+.f32 (.f32 u 8) -4)) u)
(*.f32 (/.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) (/.f32 1 s)) u)
(+.f32 (.f32 u (.f32 u (.f32 s 8))) (.f32 u (*.f32 s 4)))
(/.f32 1 (/.f32 (/.f32 1 s) (/.f32 u (-.f32 1/4 (/.f32 u 2)))))
(/.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) (/.f32 1 (*.f32 s u)))
(/.f32 (/.f32 1 (-.f32 1/4 (/.f32 u 2))) (/.f32 (/.f32 1 s) u))
(.f32 (/.f32 16 (/.f32 1 (.f32 (/.f32 1 (+.f32 4 (*.f32 u -8))) s))) u)
(.f32 (/.f32 16 (/.f32 (/.f32 1 s) (/.f32 1 (+.f32 4 (.f32 u -8))))) u)
(/.f32 16 (/.f32 (/.f32 1 s) (.f32 (/.f32 1 (+.f32 4 (.f32 u -8))) u)))
(/.f32 (/.f32 (.f32 -16 (.f32 u (.f32 s s))) s) (-.f32 (.f32 u 8) 4))
(/.f32 (/.f32 (.f32 (.f32 s (.f32 s -16)) u) s) (-.f32 (.f32 u 8) 4))
(.f32 (.f32 (/.f32 s 1) (/.f32 (+.f32 16 (.f32 (.f32 -64 u) u)) (-.f32 4 (*.f32 u 8)))) u)
(.f32 (.f32 (/.f32 s 1) (/.f32 (+.f32 64 (.f32 u 128)) (-.f32 16 (.f32 u (*.f32 64 u))))) u)
(.f32 (+.f32 4 (.f32 8 u)) (.f32 u (.f32 (/.f32 s (-.f32 16 (.f32 u (.f32 64 u)))) 16)))
(.f32 (/.f32 (.f32 s (+.f32 4 (.f32 8 u))) (/.f32 (-.f32 16 (.f32 u (*.f32 64 u))) 16)) u)
(.f32 u (.f32 (/.f32 (.f32 s s) s) (/.f32 (+.f32 16 (.f32 -64 (.f32 u u))) (-.f32 4 (.f32 u 8)))))
(.f32 u (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) (.f32 s (+.f32 (*.f32 u 8) -4))))
(.f32 u (/.f32 (/.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) s) (-.f32 (.f32 u 8) 4)))
(.f32 (.f32 (/.f32 s 1) (.f32 (/.f32 16 (+.f32 16 (.f32 (.f32 u u) -64))) (+.f32 4 (.f32 u 8)))) u)
(.f32 (.f32 (/.f32 (/.f32 16 (+.f32 16 (.f32 (.f32 u u) -64))) (/.f32 1 s)) (+.f32 4 (*.f32 8 u))) u)
(.f32 (/.f32 (.f32 s (.f32 s (+.f32 16 (.f32 -64 (.f32 u u))))) s) (/.f32 u (-.f32 4 (.f32 u 8))))
(.f32 (/.f32 (/.f32 16 (+.f32 16 (.f32 (.f32 u u) -64))) (/.f32 (/.f32 1 s) (+.f32 4 (.f32 u 8)))) u)
(/.f32 (.f32 s (.f32 16 u)) (.f32 (/.f32 1 (+.f32 4 (.f32 8 u))) (+.f32 16 (.f32 (.f32 u u) -64))))
(/.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) (/.f32 (.f32 s (+.f32 (.f32 u 8) -4)) u))
(/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) u) (.f32 s (+.f32 (*.f32 u 8) -4)))
(/.f32 (/.f32 (.f32 (.f32 s 16) u) (+.f32 16 (.f32 (.f32 u u) -64))) (/.f32 1 (+.f32 4 (*.f32 u 8))))
(/.f32 (/.f32 (.f32 (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16)) u) s) (-.f32 (.f32 u 8) 4))
(.f32 u (.f32 (/.f32 1 (.f32 s (+.f32 (.f32 u 8) -4))) (.f32 (.f32 s s) (-.f32 (.f32 64 (.f32 u u)) 16))))
(.f32 (.f32 (/.f32 s 1) (+.f32 (.f32 (/.f32 16 (+.f32 16 (.f32 (.f32 u u) -64))) (.f32 u 8)) (.f32 (/.f32 16 (+.f32 16 (.f32 (*.f32 u u) -64))) 4))) u)
(.f32 (+.f32 (.f32 (/.f32 (.f32 s 16) (+.f32 16 (.f32 (.f32 u u) -64))) (.f32 u 8)) (.f32 (/.f32 (.f32 s 16) (+.f32 16 (.f32 (.f32 u u) -64))) 4)) u)

Outputs
(/.f32 (.f32 (.f32 -16 s) u) (-.f32 (*.f32 u 8) 4))

Calls

2 calls:

61.0ms	u
21.0ms	s

Results

Error	Segments	Branch
3.4b	1	`s`
3.4b	1	`u`

Compiler

Compiled 786 to 539 computations (31.4% saved)

regimes23.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

Inputs
(*.f32 s -2)
(.f32 4 (.f32 u s))
(.f32 (.f32 4 s) u)
(.f32 s (.f32 u (+.f32 4 (*.f32 8 u))))
(.f32 s (.f32 (+.f32 4 (*.f32 8 u)) u))
(*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))
(.f32 u (.f32 s (+.f32 (*.f32 u 8) 4)))
(*.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) u)
(/.f32 u (/.f32 (-.f32 1/4 (/.f32 u 2)) s))
(/.f32 (*.f32 u s) (-.f32 1/4 (/.f32 u 2)))
(.f32 16 (/.f32 s (/.f32 (+.f32 4 (.f32 u -8)) u)))
(.f32 s (+.f32 (.f32 4 u) (.f32 8 (.f32 u u))))
(.f32 u (+.f32 (.f32 s (.f32 8 u)) (.f32 4 s)))
(.f32 (/.f32 16 (/.f32 (+.f32 4 (.f32 u -8)) s)) u)
(/.f32 s (/.f32 1 (/.f32 u (-.f32 1/4 (/.f32 u 2)))))
(/.f32 u (/.f32 1 (.f32 s (+.f32 (.f32 u 8) 4))))
(/.f32 (.f32 -16 (.f32 s u)) (-.f32 (*.f32 u 8) 4))

Outputs
(/.f32 u (/.f32 (-.f32 1/4 (/.f32 u 2)) s))

Calls

2 calls:

10.0ms	s
8.0ms	u

Results

Error	Segments	Branch
3.4b	1	`s`
3.4b	1	`u`

Compiler

Compiled 161 to 109 computations (32.3% saved)

regimes13.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f32 s -2)
(.f32 4 (.f32 u s))
(.f32 (.f32 4 s) u)
(.f32 s (.f32 u (+.f32 4 (*.f32 8 u))))
(.f32 s (.f32 (+.f32 4 (*.f32 8 u)) u))
(*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))
(.f32 u (.f32 s (+.f32 (*.f32 u 8) 4)))
(*.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) u)

Outputs
(*.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) u)

Calls

2 calls:

6.0ms	s
5.0ms	u

Results

Error	Segments	Branch
3.4b	1	`s`
3.4b	1	`u`

Compiler

Compiled 66 to 44 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f32 s -2)
(.f32 4 (.f32 u s))
(.f32 (.f32 4 s) u)
(.f32 s (.f32 u (+.f32 4 (*.f32 8 u))))
(.f32 s (.f32 (+.f32 4 (*.f32 8 u)) u))
(*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))
(.f32 u (.f32 s (+.f32 (*.f32 u 8) 4)))

Outputs
(*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))

Calls

2 calls:

5.0ms	u
5.0ms	s

Results

Error	Segments	Branch
3.4b	1	`s`
3.4b	1	`u`

Compiler

Compiled 57 to 38 computations (33.3% saved)

regimes44.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	u
4.0ms	s

Results

Error	Segments	Branch
4.1b	1	`s`
4.1b	1	`u`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f32 s -2)
(.f32 4 (.f32 u s))
(.f32 (.f32 4 s) u)

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

Calls

2 calls:

3.0ms	s
3.0ms	u

Results

Error	Segments	Branch
8.4b	1	`s`
8.4b	1	`u`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes6.0ms (0%)

Accuracy

Total -20.8b remaining (-244.2%)

Threshold costs -20.8b (-244.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f32 s -2)
(.f32 4 (.f32 u s))

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

Calls

2 calls:

3.0ms	u
3.0ms	s

Results

Error	Segments	Branch
8.5b	1	`s`
8.5b	1	`u`

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative`
16×	`+-commutative`
12×	`sub-neg`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	185
1	63	185
2	76	185
3	86	185
4	92	185
5	94	185

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(/.f32 (.f32 (.f32 -16 s) u) (-.f32 (*.f32 u 8) 4))
(/.f32 u (/.f32 (-.f32 1/4 (/.f32 u 2)) s))
(*.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) u)
(*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))
(.f32 s (.f32 u (+.f32 4 (*.f32 8 u))))
(.f32 (.f32 4 s) u)
(.f32 4 (.f32 u s))
(*.f32 s -2)

Outputs
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(/.f32 (.f32 (.f32 -16 s) u) (-.f32 (*.f32 u 8) 4))
(/.f32 (.f32 u (.f32 s -16)) (+.f32 (*.f32 u 8) -4))
(/.f32 (.f32 u (.f32 s -16)) (+.f32 -4 (*.f32 u 8)))
(/.f32 u (/.f32 (-.f32 1/4 (/.f32 u 2)) s))
(*.f32 (/.f32 s (-.f32 1/4 (/.f32 u 2))) u)
(*.f32 u (/.f32 s (-.f32 1/4 (/.f32 u 2))))
(*.f32 s (/.f32 u (-.f32 1/4 (/.f32 u 2))))
(.f32 s (.f32 u (+.f32 4 (*.f32 8 u))))
(.f32 s (.f32 u (+.f32 4 (*.f32 u 8))))
(.f32 (.f32 4 s) u)
(.f32 u (.f32 s 4))
(.f32 4 (.f32 u s))
(*.f32 s -2)

Compiler

Compiled 85 to 63 computations (25.9% saved)

soundness70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

384×	`fma-def`
192×	`associate-+l+`
178×	`associate-+l-`
162×	`+-commutative`
146×	`associate--l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	26	21
2	42	21
3	71	21
4	100	21
5	130	21
6	175	21
7	252	21
8	422	21
9	550	21
10	671	21
11	882	21
12	1215	21
13	1322	21
14	1335	21

Stop Event

1×

saturated

Compiler

Compiled 89 to 63 computations (29.2% saved)

end44.0ms (0.3%)

Compiler: Compiled 69 to 47 computations (31.9% saved)