Metrics for Beckmann Distribution sample, tan2theta, alphax == alphay

analyze67.0ms (0.6%)

Memory

9.7MiB live, 129.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.2%	99.8%	0%	0%	0%	0
0%	0%	0.2%	99.8%	0%	0%	0%	1
0%	0%	0.2%	99.8%	0%	0%	0%	2
0%	0%	0.2%	99.8%	0%	0%	0%	3
0%	0%	0.2%	99.8%	0%	0%	0%	4
37.5%	0.1%	0.1%	99.8%	0%	0%	0%	5
43.7%	0.1%	0.1%	99.8%	0%	0%	0%	6
65.6%	0.1%	0.1%	99.8%	0%	0%	0%	7
70.3%	0.1%	0%	99.8%	0%	0%	0%	8
82%	0.1%	0%	99.8%	0%	0%	0%	9
84.8%	0.1%	0%	99.8%	0%	0%	0%	10
90.8%	0.1%	0%	99.8%	0%	0%	0%	11
92.3%	0.2%	0%	99.8%	0%	0%	0%	12

Compiler

Compiled 25 to 18 computations (28% saved)

sample1.4s (13%)

Memory

50.3MiB live, 1 643.5MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 805.0ms

const: 240.0ms (29.8% of total)

ival-log: 149.0ms (18.5% of total)

ival-mult: 141.0ms (17.5% of total)

ival-<=: 132.0ms (16.4% of total)

ival-sub: 57.0ms (7.1% of total)

ival-neg: 56.0ms (7% of total)

ival-and: 22.0ms (2.7% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess37.0ms (0.3%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Rules

220×	`associate-r`
138×	`distribute-lft-neg-in`
122×	`associate-l`
110×	`distribute-lft-in`
108×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	49
1	66	43
2	177	43
3	451	43
4	759	43
5	864	43
6	903	43
7	910	43
8	912	43
9	912	43
0	8	9
0	13	9
1	26	9
2	48	9
3	92	9
4	120	9
5	139	9
6	179	9
7	198	9
8	204	9
9	210	9
10	210	9
0	210	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))

Outputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))

Symmetry

(abs alpha)

explain147.0ms (1.4%)

Memory

-20.8MiB live, 142.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
204	5	(0.025028277188539505 0.0038958771619945765)	6	(0.00041906064143404365 0.024149922654032707)	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
0	0	-	0	-	`u0`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(neg.f32 alpha)`
0	0	-	0	-	`(*.f32 (neg.f32 alpha) alpha)`
0	0	-	0	-	`alpha`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u0)`
0	0	-	0	-	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`	sensitivity	203	15

Confusion

	Predicted +	Predicted -
+	198	6
-	5	47

Precision

0.9753694581280788

Recall

0.9705882352941176

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	198	6	0
-	5	9	38

Precision?

0.9357798165137615

Recall?

1.0

Freqs

test

number	freq
0	53
1	203

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

49.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 23.0ms (63.3% of total)

ival-log: 8.0ms (22% of total)

ival-sub: 3.0ms (8.3% of total)

ival-neg: 2.0ms (5.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.7%	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify11.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f32 alpha)
✓	cost-diff	0	(*.f32 (neg.f32 alpha) alpha)
✓	cost-diff	0	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
✓	cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u0))

Rules

74×	`lower-fma.f64`
74×	`lower-fma.f32`
70×	`lower-*.f64`
66×	`lower-*.f32`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	13	25
1	26	25
2	48	25
3	92	25
4	120	25
5	139	25
6	179	25
7	198	25
8	204	25
9	210	25
10	210	25
0	210	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 (neg.f32 alpha) alpha)
(neg.f32 alpha)
alpha
(log.f32 (-.f32 #s(literal 1 binary32) u0))
(-.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)
u0

Outputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
(*.f32 (neg.f32 alpha) alpha)
(*.f32 alpha (neg.f32 alpha))
(neg.f32 alpha)
alpha
(log.f32 (-.f32 #s(literal 1 binary32) u0))
(log1p.f32 (neg.f32 u0))
(-.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)
u0

localize40.0ms (0.4%)

Memory

-5.6MiB live, 39.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 (neg.f32 alpha) alpha)
✓	accuracy	100.0%	(neg.f32 alpha)
✓	accuracy	99.1%	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
✓	accuracy	53.5%	(log.f32 (-.f32 #s(literal 1 binary32) u0))

Samples

30.0ms

256×

valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 4.0ms (40.2% of total)

ival-mult: 3.0ms (30.1% of total)

ival-sub: 1.0ms (10% of total)

ival-neg: 1.0ms (10% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series43.0ms (0.4%)

Memory

-20.7MiB live, 56.3MiB allocated

Counts

4 → 60

Calls

Call 1

Inputs
#<alt (log.f32 (-.f32 #s(literal 1 binary32) u0))>
#<alt (.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))>
#<alt (*.f32 (neg.f32 alpha) alpha)>
#<alt (neg.f32 alpha)>

Outputs
#<alt (* -1 u0)>
#<alt (* u0 (- (* -1/2 u0) 1))>
#<alt (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))>
#<alt (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u0))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))>
#<alt (* -1 (log (/ -1 u0)))>
#<alt (- (* -1 (log (/ -1 u0))) (/ 1 u0))>
#<alt (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))>
#<alt (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* (pow alpha 2) u0)>
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))>
#<alt (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))>
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))>
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))>
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))>
#<alt (* (pow alpha 2) (log (/ -1 u0)))>
#<alt (+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))>
#<alt (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>

Calls

15 calls:

Time	Variable		Point	Expression
39.0ms	alpha	@	0	(* (* (neg alpha) alpha) (log (- 1 u0)))
0.0ms	alpha	@	inf	(* (* (neg alpha) alpha) (log (- 1 u0)))
0.0ms	u0	@	0	(* (* (neg alpha) alpha) (log (- 1 u0)))
0.0ms	u0	@	inf	(log (- 1 u0))
0.0ms	u0	@	0	(log (- 1 u0))

rewrite321.0ms (3%)

Memory

-6.0MiB live, 392.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 030×	`lower-fma.f64`
4 030×	`lower-fma.f32`
3 674×	`lower-/.f64`
3 674×	`lower-/.f32`
3 022×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	39	19
2	180	19
3	1310	19
0	9491	15

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 184

Calls

Call 1

Inputs
(log.f32 (-.f32 #s(literal 1 binary32) u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 (neg.f32 alpha) alpha)
(neg.f32 alpha)

Outputs
(log1p.f32 u0)
(log1p.f32 (neg.f32 u0))
(neg.f32 (neg.f32 (log1p.f32 u0)))
(+.f32 (log1p.f32 u0) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log1p.f32 u0))
(+.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0))))
(+.f32 (log1p.f32 (*.f32 u0 u0)) (neg.f32 (log1p.f32 u0)))
(+.f32 (neg.f32 (log1p.f32 u0)) (log1p.f32 (*.f32 u0 u0)))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (.f32 u0 (.f32 u0 u0)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 u0 u0 u0)))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (.f32 u0 (.f32 u0 u0)))) (neg.f32 (log.f32 (-.f32 #s(literal -1 binary32) (fma.f32 u0 u0 u0)))))
(+.f32 (log.f32 (neg.f32 (fma.f32 u0 u0 #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u0 #s(literal -1 binary32)))))
(+.f32 (log.f32 (neg.f32 (fma.f32 u0 u0 #s(literal 1 binary32)))) (neg.f32 (log.f32 (+.f32 u0 #s(literal -1 binary32)))))
(+.f32 (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0))) (log1p.f32 (.f32 u0 (.f32 u0 u0))))
(+.f32 (log.f32 (/.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 u0 u0 u0)))
(+.f32 (log.f32 (/.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u0 (.f32 u0 u0))))) (log.f32 (-.f32 #s(literal -1 binary32) (fma.f32 u0 u0 u0))))
(+.f32 (log.f32 (/.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (neg.f32 (fma.f32 u0 u0 #s(literal 1 binary32))))) (log.f32 (+.f32 u0 #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 (fma.f32 u0 (.f32 u0 u0) #s(literal 1 binary32)) (fma.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 u0 #s(literal 1 binary32))) (fma.f32 u0 u0 u0) #s(literal 1 binary32)))) (log1p.f32 (.f32 (fma.f32 u0 u0 u0) (+.f32 (fma.f32 u0 u0 u0) #s(literal -1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u0 (.f32 u0 u0) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (*.f32 u0 u0) (fma.f32 u0 u0 #s(literal 1 binary32)))))) (log1p.f32 (fma.f32 u0 u0 u0)))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u0) (log1p.f32 (*.f32 u0 u0)))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (fma.f32 u0 u0 u0)) (log1p.f32 (.f32 u0 (.f32 u0 u0))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u0)) #s(literal 0 binary32))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))))) #s(literal 0 binary32))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0))))) #s(literal 0 binary32))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (.f32 (fma.f32 u0 (.f32 u0 u0) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) #s(literal 0 binary32))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u0)))) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u0)))
(-.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))
(-.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.f32 u0))
(-.f32 (log1p.f32 (.f32 (.f32 u0 (.f32 u0 u0)) (.f32 (.f32 u0 (.f32 u0 u0)) (.f32 u0 (.f32 u0 u0))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (fma.f32 (.f32 u0 (.f32 u0 u0)) (fma.f32 u0 (.f32 u0 u0) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 (.f32 u0 (.f32 u0 u0)) (.f32 (.f32 u0 (.f32 u0 u0)) (.f32 u0 (.f32 u0 u0))))) (log.f32 (.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) (fma.f32 u0 (.f32 u0 u0) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))))
(-.f32 (log1p.f32 (.f32 (.f32 u0 (.f32 u0 u0)) (.f32 u0 (.f32 u0 u0)))) (log.f32 (.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))))
(-.f32 (log1p.f32 (.f32 (.f32 u0 (.f32 u0 u0)) (.f32 u0 (.f32 u0 u0)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u0) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 u0 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 (.f32 u0 (.f32 u0 u0)) (.f32 u0 (.f32 u0 u0)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 (.f32 u0 (.f32 u0 u0)) (.f32 u0 (.f32 u0 u0)))) (log.f32 (.f32 (fma.f32 (*.f32 u0 u0) (fma.f32 u0 u0 #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u0))))
(-.f32 (log1p.f32 (neg.f32 (.f32 (.f32 u0 u0) (.f32 u0 u0)))) (log.f32 (.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u0))))
(-.f32 (log1p.f32 (neg.f32 (.f32 (.f32 u0 u0) (.f32 u0 u0)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u0) (fma.f32 u0 u0 #s(literal 1 binary32)))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (.f32 u0 (.f32 u0 u0)))) (log.f32 (-.f32 #s(literal -1 binary32) (fma.f32 u0 u0 u0))))
(-.f32 (log.f32 (neg.f32 (fma.f32 u0 u0 #s(literal 1 binary32)))) (log.f32 (+.f32 u0 #s(literal -1 binary32))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u0)))))
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(.f32 (neg.f32 alpha) (.f32 (log1p.f32 u0) alpha))
(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 u0))
(.f32 #s(literal -1 binary32) (.f32 (log1p.f32 u0) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 u0)))
(.f32 (.f32 (log1p.f32 u0) alpha) (neg.f32 alpha))
(.f32 (.f32 (log1p.f32 u0) (*.f32 alpha alpha)) #s(literal -1 binary32))
(.f32 (neg.f32 (.f32 (log1p.f32 u0) alpha)) alpha)
(.f32 (neg.f32 (log1p.f32 u0)) (.f32 alpha alpha))
(.f32 (.f32 (log1p.f32 u0) #s(literal -1 binary32)) (*.f32 alpha alpha))
(.f32 (.f32 (.f32 (log1p.f32 u0) alpha) (.f32 alpha (neg.f32 alpha))) (/.f32 #s(literal 1 binary32) alpha))
(.f32 (.f32 (.f32 (log1p.f32 u0) alpha) (neg.f32 (.f32 alpha (.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)))
(.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 (log1p.f32 u0) alpha)) (/.f32 #s(literal 1 binary32) alpha))
(.f32 (.f32 (neg.f32 (.f32 alpha (.f32 alpha alpha))) (.f32 (log1p.f32 u0) alpha)) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)))
(.f32 (/.f32 (.f32 (log1p.f32 u0) alpha) alpha) (/.f32 (neg.f32 (.f32 alpha (.f32 alpha alpha))) alpha))
(.f32 (/.f32 (neg.f32 (.f32 alpha (.f32 alpha alpha))) alpha) (/.f32 (.f32 (log1p.f32 u0) alpha) alpha))
(neg.f32 (*.f32 alpha alpha))
(+.f32 #s(literal 0 binary32) (*.f32 alpha (neg.f32 alpha)))
(-.f32 #s(literal 0 binary32) (*.f32 alpha alpha))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (.f32 alpha alpha) (.f32 alpha alpha))) (.f32 alpha alpha))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (neg.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 alpha alpha) (neg.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)))))
(/.f32 #s(literal 1 binary32) (/.f32 alpha (.f32 alpha (.f32 alpha (neg.f32 alpha)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 alpha alpha) (.f32 alpha (neg.f32 (.f32 alpha (.f32 alpha alpha))))))
(/.f32 #s(literal 1 binary32) (/.f32 alpha (.f32 (.f32 alpha (neg.f32 alpha)) alpha)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 alpha alpha) (.f32 (neg.f32 (.f32 alpha (.f32 alpha alpha))) alpha)))
(/.f32 alpha (/.f32 #s(literal 1 binary32) (neg.f32 alpha)))
(/.f32 (neg.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)))) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)))
(/.f32 (neg.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha))) (.f32 alpha alpha))
(/.f32 (.f32 alpha (.f32 alpha (neg.f32 alpha))) alpha)
(/.f32 (.f32 alpha (neg.f32 (.f32 alpha (.f32 alpha alpha)))) (.f32 alpha alpha))
(/.f32 (.f32 (.f32 alpha (neg.f32 alpha)) alpha) alpha)
(/.f32 (.f32 (neg.f32 (.f32 alpha (.f32 alpha alpha))) alpha) (.f32 alpha alpha))
(/.f32 (neg.f32 (neg.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha))))) (neg.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha))))
(/.f32 (neg.f32 (neg.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)))) (.f32 alpha (neg.f32 alpha)))
(/.f32 (neg.f32 (.f32 alpha (.f32 alpha (neg.f32 alpha)))) (neg.f32 alpha))
(/.f32 (neg.f32 (.f32 alpha (neg.f32 (.f32 alpha (.f32 alpha alpha))))) (.f32 alpha (neg.f32 alpha)))
(/.f32 (neg.f32 (.f32 (.f32 alpha (neg.f32 alpha)) alpha)) (neg.f32 alpha))
(/.f32 (neg.f32 (.f32 (neg.f32 (.f32 alpha (.f32 alpha alpha))) alpha)) (.f32 alpha (neg.f32 alpha)))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (.f32 alpha (neg.f32 alpha)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 alpha (neg.f32 alpha))) (.f32 #s(literal 0 binary32) (.f32 alpha (neg.f32 alpha))))))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 alpha (neg.f32 alpha)))) (.f32 alpha alpha))
(.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (.f32 alpha (*.f32 alpha alpha))) alpha))
(*.f32 alpha (neg.f32 alpha))
(*.f32 (neg.f32 alpha) alpha)
(.f32 #s(literal -1 binary32) (.f32 alpha alpha))
(.f32 (.f32 alpha alpha) #s(literal -1 binary32))
(.f32 (neg.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) (*.f32 alpha alpha))))
(.f32 (neg.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(.f32 (.f32 alpha (*.f32 alpha (neg.f32 alpha))) (/.f32 #s(literal 1 binary32) alpha))
(.f32 (.f32 alpha (neg.f32 (.f32 alpha (.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(.f32 (.f32 (*.f32 alpha (neg.f32 alpha)) alpha) (/.f32 #s(literal 1 binary32) alpha))
(.f32 (.f32 (neg.f32 (.f32 alpha (.f32 alpha alpha))) alpha) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(.f32 (/.f32 (neg.f32 (.f32 alpha (*.f32 alpha alpha))) alpha) #s(literal 1 binary32))
(neg.f32 alpha)
(+.f32 (neg.f32 alpha) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 alpha))
(pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 alpha)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 alpha) #s(literal 0 binary32))
(fma.f32 alpha #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (neg.f32 alpha) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 (*.f32 alpha (neg.f32 alpha)) (/.f32 #s(literal 1 binary32) alpha) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) alpha #s(literal 0 binary32))
(fma.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1 binary32) (neg.f32 alpha)) #s(literal 0 binary32))
(fma.f32 (.f32 alpha (.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) (*.f32 alpha (neg.f32 alpha))) #s(literal 0 binary32))
(fma.f32 (neg.f32 (.f32 alpha (.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) alpha)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 alpha)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 alpha)) #s(literal 1 binary32)))
(/.f32 (*.f32 alpha (neg.f32 alpha)) alpha)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 alpha))))
(/.f32 (*.f32 alpha alpha) (neg.f32 alpha))
(/.f32 (*.f32 alpha alpha) (-.f32 (neg.f32 alpha) #s(literal 0 binary32)))
(/.f32 (.f32 alpha (.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha)))
(/.f32 (neg.f32 (.f32 alpha (.f32 alpha alpha))) (*.f32 alpha alpha))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 alpha alpha) (.f32 alpha (.f32 alpha alpha)))) (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)))
(/.f32 (fma.f32 (neg.f32 alpha) (.f32 alpha alpha) #s(literal 0 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 alpha) #s(literal 0 binary32)))))
(*.f32 #s(literal 1 binary32) (neg.f32 alpha))
(*.f32 alpha #s(literal -1 binary32))
(*.f32 (neg.f32 alpha) #s(literal 1 binary32))
(.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 #s(literal 1 binary32) alpha))
(*.f32 #s(literal -1 binary32) alpha)
(.f32 (.f32 alpha alpha) (/.f32 #s(literal 1 binary32) (neg.f32 alpha)))
(.f32 (.f32 alpha (.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) (.f32 alpha (neg.f32 alpha))))
(.f32 (neg.f32 (.f32 alpha (.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)))

simplify418.0ms (3.9%)

Memory

29.4MiB live, 727.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 992×	`lower-fma.f64`
16 992×	`lower-fma.f32`
4 436×	`lower-*.f64`
4 436×	`lower-*.f32`
1 926×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	562
1	307	535
2	805	502
3	2108	490
4	5927	483
0	8142	455

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* -1 u0)
(* u0 (- (* -1/2 u0) 1))
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))
(* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u0))))
(- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))
(+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))
(* -1 (log (/ -1 u0)))
(- (* -1 (log (/ -1 u0))) (/ 1 u0))
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* (pow alpha 2) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))
(* (pow alpha 2) (log (/ -1 u0)))
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)

Outputs
(* -1 u0)
(neg.f32 u0)
(* u0 (- (* -1/2 u0) 1))
(*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(+ (log -1) (* -1 (log (/ 1 u0))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0))
(- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u0) (/.f32 #s(literal -1 binary32) u0)))
(+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))
(+.f32 (log.f32 u0) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u0)) u0)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u0) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u0)) u0)) u0)))
(* -1 (log (/ -1 u0)))
(log.f32 (neg.f32 u0))
(- (* -1 (log (/ -1 u0))) (/ 1 u0))
(+.f32 (log.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) u0))
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u0)) u0) (log.f32 (neg.f32 u0)))
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))
(+.f32 (log.f32 (neg.f32 u0)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u0)) u0)) u0))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(* (pow alpha 2) u0)
(.f32 u0 (.f32 alpha alpha))
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 alpha alpha)))
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))
(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 (.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))
(.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))
(.f32 alpha (-.f32 (/.f32 alpha u0) (.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) alpha)))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))
(fma.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (.f32 alpha (neg.f32 alpha)) (/.f32 (.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 alpha u0) alpha)) u0))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))
(neg.f32 (fma.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (.f32 alpha alpha) (.f32 (/.f32 (*.f32 alpha alpha) u0) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u0)) u0)))))
(* (pow alpha 2) (log (/ -1 u0)))
(.f32 (log.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))
(*.f32 alpha (fma.f32 (log.f32 (neg.f32 u0)) (neg.f32 alpha) (/.f32 alpha u0)))
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(fma.f32 (log.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)) (/.f32 (.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 alpha u0) alpha)) u0))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(neg.f32 (fma.f32 (/.f32 (.f32 alpha alpha) u0) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u0)) u0)) (.f32 (log.f32 (neg.f32 u0)) (*.f32 alpha alpha))))
(* -1 (pow alpha 2))
(*.f32 alpha (neg.f32 alpha))
(* -1 (pow alpha 2))
(*.f32 alpha (neg.f32 alpha))
(* -1 (pow alpha 2))
(*.f32 alpha (neg.f32 alpha))
(* -1 (pow alpha 2))
(*.f32 alpha (neg.f32 alpha))
(* -1 (pow alpha 2))
(*.f32 alpha (neg.f32 alpha))
(* -1 (pow alpha 2))
(*.f32 alpha (neg.f32 alpha))
(* -1 (pow alpha 2))
(*.f32 alpha (neg.f32 alpha))
(* -1 (pow alpha 2))
(*.f32 alpha (neg.f32 alpha))
(* -1 (pow alpha 2))
(*.f32 alpha (neg.f32 alpha))
(* -1 (pow alpha 2))
(*.f32 alpha (neg.f32 alpha))
(* -1 (pow alpha 2))
(*.f32 alpha (neg.f32 alpha))
(* -1 (pow alpha 2))
(*.f32 alpha (neg.f32 alpha))
(* -1 alpha)
(neg.f32 alpha)
(* -1 alpha)
(neg.f32 alpha)
(* -1 alpha)
(neg.f32 alpha)
(* -1 alpha)
(neg.f32 alpha)
(* -1 alpha)
(neg.f32 alpha)
(* -1 alpha)
(neg.f32 alpha)
(* -1 alpha)
(neg.f32 alpha)
(* -1 alpha)
(neg.f32 alpha)
(* -1 alpha)
(neg.f32 alpha)
(* -1 alpha)
(neg.f32 alpha)
(* -1 alpha)
(neg.f32 alpha)
(* -1 alpha)
(neg.f32 alpha)

eval20.0ms (0.2%)

Memory: 21.4MiB live, 59.5MiB allocated
Compiler: Compiled 4 851 to 733 computations (84.9% saved)

prune43.0ms (0.4%)

Memory

-12.5MiB live, 146.3MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	227	17	244
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	227	18	245

Accuracy

99.6%

Counts

245 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.6%	(*.f32 (/.f32 alpha (/.f32 #s(literal 1 binary32) (neg.f32 alpha))) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
▶	53.7%	(.f32 (.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
	84.6%	(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))))))
▶	71.2%	(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0))))))
	84.5%	(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))))) (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32))))))
	71.2%	(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0)))) (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))))))
	84.9%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))))
	50.7%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u0) (.f32 (+.f32 #s(literal 1 binary32) u0) (.f32 u0 u0)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
	84.7%	(.f32 (.f32 (neg.f32 alpha) alpha) (+.f32 (log.f32 (/.f32 (fma.f32 u0 (.f32 u0 u0) #s(literal 1 binary32)) (fma.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 u0 #s(literal 1 binary32))) (fma.f32 u0 u0 u0) #s(literal 1 binary32)))) (log1p.f32 (.f32 (fma.f32 u0 u0 u0) (+.f32 (fma.f32 u0 u0 u0) #s(literal -1 binary32))))))
	94.1%	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
	92.1%	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
	87.6%	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
▶	99.1%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
✓	53.7%	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
	87.7%	(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
	94.2%	(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 (.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))
▶	92.2%	(.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 alpha alpha)))
▶	75.6%	(.f32 u0 (.f32 alpha alpha))

Compiler

Compiled 857 to 452 computations (47.3% saved)

simplify391.0ms (3.7%)

Memory

-38.0MiB live, 569.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 (neg.f32 alpha) alpha)
✓	cost-diff	64	(+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.f32 u0))))
✓	cost-diff	64	(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0))))))
✓	cost-diff	3232	(+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0)))
✓	cost-diff	0	(.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (neg.f32 alpha))) alpha)
✓	cost-diff	0	(.f32 (.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
✓	cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u0))
✓	cost-diff	832	(/.f32 (.f32 alpha (.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha)))
✓	cost-diff	0	(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
✓	cost-diff	0	(.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
✓	cost-diff	0	(.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 alpha alpha)))
✓	cost-diff	160	(fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))
✓	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	0	(.f32 u0 (.f32 alpha alpha))
✓	cost-diff	0	(log1p.f32 (neg.f32 u0))
✓	cost-diff	0	(neg.f32 alpha)
✓	cost-diff	0	(*.f32 (neg.f32 alpha) alpha)
✓	cost-diff	0	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))

Rules

5 846×	`lower-fma.f64`
5 842×	`lower-fma.f32`
3 490×	`lower-*.f64`
3 466×	`lower-*.f32`
2 364×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	302
0	76	274
1	156	266
2	395	264
3	1194	264
4	3756	263
5	6643	263
0	8107	258

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
(*.f32 (neg.f32 alpha) alpha)
(neg.f32 alpha)
alpha
(log1p.f32 (neg.f32 u0))
(neg.f32 u0)
u0
(.f32 u0 (.f32 alpha alpha))
u0
(*.f32 alpha alpha)
alpha
(.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 alpha alpha)))
u0
(fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))
(.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
alpha
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(*.f32 alpha alpha)
(.f32 (.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (neg.f32 alpha))) alpha)
(/.f32 (.f32 alpha (.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha)))
(.f32 alpha (.f32 alpha alpha))
alpha
(*.f32 alpha alpha)
(*.f32 alpha (neg.f32 alpha))
(neg.f32 alpha)
(log.f32 (-.f32 #s(literal 1 binary32) u0))
(-.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)
u0
(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0))))))
(*.f32 (neg.f32 alpha) alpha)
(neg.f32 alpha)
alpha
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0)))))
(-.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32)))
(pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3 binary32))
(log1p.f32 (*.f32 u0 u0))
(*.f32 u0 u0)
u0
#s(literal 3 binary32)
(pow.f32 (log1p.f32 u0) #s(literal 3 binary32))
(log1p.f32 u0)
(+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.f32 u0))))
(pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32))
#s(literal 2 binary32)
(+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0)))
(pow.f32 (log1p.f32 u0) #s(literal 2 binary32))
(.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0))

Outputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
(*.f32 (neg.f32 alpha) alpha)
(*.f32 alpha (neg.f32 alpha))
(neg.f32 alpha)
alpha
(log1p.f32 (neg.f32 u0))
(neg.f32 u0)
u0
(.f32 u0 (.f32 alpha alpha))
u0
(*.f32 alpha alpha)
alpha
(.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (fma.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u0 u0) u0))
u0
(fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))
(.f32 alpha (fma.f32 u0 (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))
(.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
alpha
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(*.f32 alpha alpha)
(.f32 (.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
(.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (neg.f32 alpha))) alpha)
(*.f32 alpha (neg.f32 alpha))
(/.f32 (.f32 alpha (.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha)))
(neg.f32 alpha)
(.f32 alpha (.f32 alpha alpha))
alpha
(*.f32 alpha alpha)
(*.f32 alpha (neg.f32 alpha))
(neg.f32 alpha)
(log.f32 (-.f32 #s(literal 1 binary32) u0))
(log1p.f32 (neg.f32 u0))
(-.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)
u0
(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0))))))
(.f32 (.f32 alpha alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 u0) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (.f32 u0 u0)) (+.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.f32 u0)) (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)))))
(*.f32 (neg.f32 alpha) alpha)
(*.f32 alpha (neg.f32 alpha))
(neg.f32 alpha)
alpha
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (.f32 u0 u0)) (+.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.f32 u0)) (pow.f32 (log1p.f32 u0) #s(literal 2 binary32))))
(-.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32)))
(pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3 binary32))
(log1p.f32 (*.f32 u0 u0))
(*.f32 u0 u0)
u0
#s(literal 3 binary32)
(pow.f32 (log1p.f32 u0) #s(literal 3 binary32))
(log1p.f32 u0)
(+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.f32 u0))))
(fma.f32 (log1p.f32 (.f32 u0 u0)) (+.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0)) (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)))
(pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32))
#s(literal 2 binary32)
(+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0)))
(.f32 (log1p.f32 u0) (+.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0)))
(pow.f32 (log1p.f32 u0) #s(literal 2 binary32))
(.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0))

localize136.0ms (1.3%)

Memory

10.3MiB live, 411.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(pow.f32 (log1p.f32 u0) #s(literal 2 binary32))
✓	accuracy	98.4%	(pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3 binary32))
✓	accuracy	98.3%	(pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32))
✓	accuracy	98.3%	(pow.f32 (log1p.f32 u0) #s(literal 3 binary32))
✓	accuracy	99.2%	(.f32 alpha (.f32 alpha alpha))
✓	accuracy	99.2%	(/.f32 (.f32 alpha (.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha)))
✓	accuracy	99.1%	(.f32 (.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
✓	accuracy	53.5%	(log.f32 (-.f32 #s(literal 1 binary32) u0))
✓	accuracy	99.4%	(fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))
✓	accuracy	99.4%	(.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
✓	accuracy	99.4%	(.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 alpha alpha)))
✓	accuracy	99.2%	(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	99.3%	(.f32 u0 (.f32 alpha alpha))
✓	accuracy	100.0%	(neg.f32 u0)
✓	accuracy	100.0%	(neg.f32 alpha)
✓	accuracy	100.0%	(log1p.f32 (neg.f32 u0))
✓	accuracy	99.1%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))

Samples

83.0ms

256×

valid

Compiler

Compiled 373 to 43 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 25.0ms (38.8% of total)

ival-log1p: 6.0ms (9.3% of total)

const: 5.0ms (7.8% of total)

ival-pow2: 5.0ms (7.8% of total)

ival-pow: 5.0ms (7.8% of total)

ival-div: 4.0ms (6.2% of total)

ival-add: 4.0ms (6.2% of total)

ival-log: 4.0ms (6.2% of total)

ival-sub: 2.0ms (3.1% of total)

ival-neg: 2.0ms (3.1% of total)

exact: 1.0ms (1.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series87.0ms (0.8%)

Memory

-18.7MiB live, 218.1MiB allocated

Counts

23 → 372

Calls

Call 1

Inputs
#<alt (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))>
#<alt (*.f32 (neg.f32 alpha) alpha)>
#<alt (neg.f32 alpha)>
#<alt (log1p.f32 (neg.f32 u0))>
#<alt (.f32 u0 (.f32 alpha alpha))>
#<alt (*.f32 alpha alpha)>
#<alt (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))>
#<alt (.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 alpha alpha)))>
#<alt (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))>
#<alt (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))>
#<alt (/.f32 (.f32 alpha (.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha)))>
#<alt (log.f32 (-.f32 #s(literal 1 binary32) u0))>
#<alt (.f32 (.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))>
#<alt (.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (neg.f32 alpha))) alpha)>
#<alt (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0)))>
#<alt (.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0))))))>
#<alt (+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.f32 u0))))>
#<alt (neg.f32 u0)>
#<alt (.f32 alpha (.f32 alpha alpha))>
#<alt (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))>
#<alt (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32))>
#<alt (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3 binary32))>
#<alt (pow.f32 (log1p.f32 u0) #s(literal 2 binary32))>

Outputs
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#<alt (* alpha (+ 1/2 (* 1/3 u0)))>
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#<alt (* 1/2 alpha)>
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#<alt (* -1 (/ (* (pow alpha 2) (- (pow (log (+ 1 (pow u0 2))) 3) (pow (log (+ 1 u0)) 3))) (+ (* (log (+ 1 u0)) (log (+ 1 (pow u0 2)))) (+ (pow (log (+ 1 u0)) 2) (pow (log (+ 1 (pow u0 2))) 2)))))>
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#<alt (+ (* -4 (/ (log (/ 1 u0)) u0)) (+ (* -4 (/ (log (/ 1 u0)) (pow u0 2))) (+ (* -4/3 (/ (log (/ 1 u0)) (pow u0 3))) (+ (* -1 (/ (log (/ 1 u0)) (pow u0 2))) (+ (* 2 (/ (log (/ 1 u0)) (pow u0 2))) (+ (* 2 (pow (log (/ 1 u0)) 2)) (+ (* 4 (pow (log (/ 1 u0)) 2)) (+ (/ 1 (pow u0 2)) (pow (log (/ 1 u0)) 2)))))))))>
#<alt (+ (* -2 (* (log (/ -1 u0)) (+ (log -1) (* -1 (log (/ -1 u0)))))) (+ (* 4 (pow (log (/ -1 u0)) 2)) (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2)))>
#<alt (+ (* -2 (* (log (/ -1 u0)) (+ (log -1) (* -1 (log (/ -1 u0)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u0))))) (* 2 (log (/ -1 u0)))) u0)) (+ (* 4 (pow (log (/ -1 u0)) 2)) (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2))))>
#<alt (+ (* -2 (* (log (/ -1 u0)) (+ (log -1) (* -1 (log (/ -1 u0)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u0))))) (+ (* -1 (/ (+ 1 (+ (log -1) (+ (log (/ -1 u0)) (+ (* -4 (log (/ -1 u0))) (+ (* -1 (log (/ -1 u0))) (* -1 (+ (log -1) (* -1 (log (/ -1 u0)))))))))) u0)) (* 2 (log (/ -1 u0))))) u0)) (+ (* 4 (pow (log (/ -1 u0)) 2)) (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2))))>
#<alt (+ (* -2 (* (log (/ -1 u0)) (+ (log -1) (* -1 (log (/ -1 u0)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u0))))) (+ (* -1 (/ (+ 1 (+ (log -1) (+ (log (/ -1 u0)) (+ (* -4 (log (/ -1 u0))) (+ (* -1 (log (/ -1 u0))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u0))))) (* -1 (/ (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 u0))))) (* 2/3 (log (/ -1 u0)))) u0)))))))) u0)) (* 2 (log (/ -1 u0))))) u0)) (+ (* 4 (pow (log (/ -1 u0)) 2)) (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2))))>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow u0 3)>
#<alt (* (pow u0 3) (+ 1 (* -3/2 u0)))>
#<alt (* (pow u0 3) (+ 1 (* u0 (- (* 7/4 u0) 3/2))))>
#<alt (* (pow u0 3) (+ 1 (* u0 (- (* u0 (+ 7/4 (* -15/8 u0))) 3/2))))>
#<alt (* -1 (pow (log (/ 1 u0)) 3))>
#<alt (+ (* -1 (pow (log (/ 1 u0)) 3)) (+ (* 2 (/ (pow (log (/ 1 u0)) 2) u0)) (/ (pow (log (/ 1 u0)) 2) u0)))>
#<alt (+ (* -2 (/ (log (/ 1 u0)) (pow u0 2))) (+ (* -1 (/ (* (log (/ 1 u0)) (+ 1 (log (/ 1 u0)))) (pow u0 2))) (+ (* -1 (pow (log (/ 1 u0)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 u0)) 2) (pow u0 2))) (+ (* 2 (/ (pow (log (/ 1 u0)) 2) u0)) (/ (pow (log (/ 1 u0)) 2) u0))))))>
#<alt (+ (* -2 (/ (log (/ 1 u0)) (pow u0 2))) (+ (* -1 (/ (* (log (/ 1 u0)) (+ 1 (log (/ 1 u0)))) (pow u0 2))) (+ (* -1 (/ (* (log (/ 1 u0)) (- (* -2/3 (log (/ 1 u0))) 1)) (pow u0 3))) (+ (* -1 (pow (log (/ 1 u0)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 u0)) 2) (pow u0 2))) (+ (* 1/3 (/ (pow (log (/ 1 u0)) 2) (pow u0 3))) (+ (* 2 (/ (log (/ 1 u0)) (pow u0 3))) (+ (* 2 (/ (pow (log (/ 1 u0)) 2) u0)) (+ (/ 1 (pow u0 3)) (/ (pow (log (/ 1 u0)) 2) u0))))))))))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 3)>
#<alt (+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2))) u0)) (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 3))>
#<alt (+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 u0))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u0)))))) (+ (log -1) (* -1 (log (/ -1 u0))))))) u0)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2)))) u0)) (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 3))>
#<alt (+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 u0))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u0))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u0)))))) (+ (log -1) (* -1 (log (/ -1 u0))))))))) u0)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 u0))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u0)))))) (+ (log -1) (* -1 (log (/ -1 u0)))))))) u0)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2)))) u0)) (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 3))>
#<alt (pow u0 4)>
#<alt (* (pow u0 4) (+ 1 (* -1 (pow u0 2))))>
#<alt (* (pow u0 4) (+ 1 (* (pow u0 2) (- (* 11/12 (pow u0 2)) 1))))>
#<alt (* (pow u0 4) (+ 1 (* (pow u0 2) (- (* (pow u0 2) (+ 11/12 (* -5/6 (pow u0 2)))) 1))))>
#<alt (* 4 (pow (log (/ 1 u0)) 2))>
#<alt (+ (* -4 (/ (log (/ 1 u0)) (pow u0 2))) (* 4 (pow (log (/ 1 u0)) 2)))>
#<alt (+ (* -4 (/ (log (/ 1 u0)) (pow u0 2))) (+ (* 2 (/ (log (/ 1 u0)) (pow u0 4))) (+ (* 4 (pow (log (/ 1 u0)) 2)) (/ 1 (pow u0 4)))))>
#<alt (- (+ (* -4 (/ (log (/ 1 u0)) (pow u0 2))) (+ (* -4/3 (/ (log (/ 1 u0)) (pow u0 6))) (+ (* 2 (/ (log (/ 1 u0)) (pow u0 4))) (+ (* 4 (pow (log (/ 1 u0)) 2)) (/ 1 (pow u0 4)))))) (/ 1 (pow u0 6)))>
#<alt (* 4 (pow (log (/ -1 u0)) 2))>
#<alt (+ (* -4 (/ (log (/ -1 u0)) (pow u0 2))) (* 4 (pow (log (/ -1 u0)) 2)))>
#<alt (+ (* -4 (/ (log (/ -1 u0)) (pow u0 2))) (+ (* 2 (/ (log (/ -1 u0)) (pow u0 4))) (+ (* 4 (pow (log (/ -1 u0)) 2)) (/ 1 (pow u0 4)))))>
#<alt (- (+ (* -4 (/ (log (/ -1 u0)) (pow u0 2))) (+ (* -4/3 (/ (log (/ -1 u0)) (pow u0 6))) (+ (* 2 (/ (log (/ -1 u0)) (pow u0 4))) (+ (* 4 (pow (log (/ -1 u0)) 2)) (/ 1 (pow u0 4)))))) (/ 1 (pow u0 6)))>
#<alt (pow u0 6)>
#<alt (* (pow u0 6) (+ 1 (* -3/2 (pow u0 2))))>
#<alt (* (pow u0 6) (+ 1 (* (pow u0 2) (- (* 7/4 (pow u0 2)) 3/2))))>
#<alt (* (pow u0 6) (+ 1 (* (pow u0 2) (- (* (pow u0 2) (+ 7/4 (* -15/8 (pow u0 2)))) 3/2))))>
#<alt (* -8 (pow (log (/ 1 u0)) 3))>
#<alt (+ (* -8 (pow (log (/ 1 u0)) 3)) (+ (* 4 (/ (pow (log (/ 1 u0)) 2) (pow u0 2))) (* 8 (/ (pow (log (/ 1 u0)) 2) (pow u0 2)))))>
#<alt (+ (* -8 (pow (log (/ 1 u0)) 3)) (+ (* -4 (/ (log (/ 1 u0)) (pow u0 4))) (+ (* -2 (/ (* (log (/ 1 u0)) (+ 1 (* 2 (log (/ 1 u0))))) (pow u0 4))) (+ (* -2 (/ (pow (log (/ 1 u0)) 2) (pow u0 4))) (+ (* 4 (/ (pow (log (/ 1 u0)) 2) (pow u0 2))) (* 8 (/ (pow (log (/ 1 u0)) 2) (pow u0 2))))))))>
#<alt (+ (* -8 (pow (log (/ 1 u0)) 3)) (+ (* -4 (/ (log (/ 1 u0)) (pow u0 4))) (+ (* -2 (/ (* (log (/ 1 u0)) (+ 1 (* 2 (log (/ 1 u0))))) (pow u0 4))) (+ (* -2 (/ (* (log (/ 1 u0)) (- (* -4/3 (log (/ 1 u0))) 1)) (pow u0 6))) (+ (* -2 (/ (pow (log (/ 1 u0)) 2) (pow u0 4))) (+ (* 4/3 (/ (pow (log (/ 1 u0)) 2) (pow u0 6))) (+ (* 4 (/ (log (/ 1 u0)) (pow u0 6))) (+ (* 4 (/ (pow (log (/ 1 u0)) 2) (pow u0 2))) (+ (* 8 (/ (pow (log (/ 1 u0)) 2) (pow u0 2))) (/ 1 (pow u0 6)))))))))))>
#<alt (* -8 (pow (log (/ -1 u0)) 3))>
#<alt (+ (* -8 (pow (log (/ -1 u0)) 3)) (+ (* 4 (/ (pow (log (/ -1 u0)) 2) (pow u0 2))) (* 8 (/ (pow (log (/ -1 u0)) 2) (pow u0 2)))))>
#<alt (+ (* -8 (pow (log (/ -1 u0)) 3)) (+ (* -4 (/ (log (/ -1 u0)) (pow u0 4))) (+ (* -2 (/ (* (log (/ -1 u0)) (+ 1 (* 2 (log (/ -1 u0))))) (pow u0 4))) (+ (* -2 (/ (pow (log (/ -1 u0)) 2) (pow u0 4))) (+ (* 4 (/ (pow (log (/ -1 u0)) 2) (pow u0 2))) (* 8 (/ (pow (log (/ -1 u0)) 2) (pow u0 2))))))))>
#<alt (+ (* -8 (pow (log (/ -1 u0)) 3)) (+ (* -4 (/ (log (/ -1 u0)) (pow u0 4))) (+ (* -2 (/ (* (log (/ -1 u0)) (+ 1 (* 2 (log (/ -1 u0))))) (pow u0 4))) (+ (* -2 (/ (* (log (/ -1 u0)) (- (* -4/3 (log (/ -1 u0))) 1)) (pow u0 6))) (+ (* -2 (/ (pow (log (/ -1 u0)) 2) (pow u0 4))) (+ (* 4/3 (/ (pow (log (/ -1 u0)) 2) (pow u0 6))) (+ (* 4 (/ (log (/ -1 u0)) (pow u0 6))) (+ (* 4 (/ (pow (log (/ -1 u0)) 2) (pow u0 2))) (+ (* 8 (/ (pow (log (/ -1 u0)) 2) (pow u0 2))) (/ 1 (pow u0 6)))))))))))>
#<alt (pow u0 2)>
#<alt (* (pow u0 2) (+ 1 (* -1 u0)))>
#<alt (* (pow u0 2) (+ 1 (* u0 (- (* 11/12 u0) 1))))>
#<alt (* (pow u0 2) (+ 1 (* u0 (- (* u0 (+ 11/12 (* -5/6 u0))) 1))))>
#<alt (pow (log (/ 1 u0)) 2)>
#<alt (+ (* -2 (/ (log (/ 1 u0)) u0)) (pow (log (/ 1 u0)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 u0)) u0)) (+ (/ 1 (pow u0 2)) (+ (/ (log (/ 1 u0)) (pow u0 2)) (pow (log (/ 1 u0)) 2))))>
#<alt (- (+ (* -2 (/ (log (/ 1 u0)) u0)) (+ (* -2/3 (/ (log (/ 1 u0)) (pow u0 3))) (+ (/ 1 (pow u0 2)) (+ (/ (log (/ 1 u0)) (pow u0 2)) (pow (log (/ 1 u0)) 2))))) (/ 1 (pow u0 3)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2)>
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 u0)))) u0)) (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u0))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u0)))))) u0))) u0)) (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u0))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u0))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u0)))))) u0)))) u0))) u0)) (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2))>

Calls

93 calls:

Time	Variable		Point	Expression
41.0ms	alpha	@	0	(* (* (neg alpha) alpha) (/ (- (pow (log (+ 1 (* u0 u0))) 3) (pow (log (+ 1 u0)) 3)) (+ (pow (log (+ 1 (* u0 u0))) 2) (+ (pow (log (+ 1 u0)) 2) (* (log (+ 1 (* u0 u0))) (log (+ 1 u0)))))))
11.0ms	u0	@	-inf	(* (* (neg alpha) alpha) (/ (- (pow (log (+ 1 (* u0 u0))) 3) (pow (log (+ 1 u0)) 3)) (+ (pow (log (+ 1 (* u0 u0))) 2) (+ (pow (log (+ 1 u0)) 2) (* (log (+ 1 (* u0 u0))) (log (+ 1 u0)))))))
5.0ms	u0	@	inf	(* (* (neg alpha) alpha) (/ (- (pow (log (+ 1 (* u0 u0))) 3) (pow (log (+ 1 u0)) 3)) (+ (pow (log (+ 1 (* u0 u0))) 2) (+ (pow (log (+ 1 u0)) 2) (* (log (+ 1 (* u0 u0))) (log (+ 1 u0)))))))
1.0ms	u0	@	-inf	(+ (pow (log (+ 1 u0)) 2) (* (log (+ 1 (* u0 u0))) (log (+ 1 u0))))
1.0ms	u0	@	inf	(pow (log (+ 1 (* u0 u0))) 3)

rewrite372.0ms (3.5%)

Memory

29.1MiB live, 616.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 712×	`lower-fma.f64`
4 708×	`lower-fma.f32`
4 170×	`lower-*.f64`
4 146×	`lower-*.f32`
3 586×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	204
0	76	176
1	292	148
2	2069	144
0	8733	143

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

23 → 800

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
(*.f32 (neg.f32 alpha) alpha)
(neg.f32 alpha)
(log1p.f32 (neg.f32 u0))
(.f32 u0 (.f32 alpha alpha))
(*.f32 alpha alpha)
(fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha))
(.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 alpha alpha)))
(.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
(/.f32 (.f32 alpha (.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha)))
(log.f32 (-.f32 #s(literal 1 binary32) u0))
(.f32 (.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (neg.f32 alpha))) alpha)
(+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0)))
(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0))))))
(+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (*.f32 u0 u0)) (log1p.f32 u0))))
(neg.f32 u0)
(.f32 alpha (.f32 alpha alpha))
(pow.f32 (log1p.f32 u0) #s(literal 3 binary32))
(pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32))
(pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3 binary32))
(pow.f32 (log1p.f32 u0) #s(literal 2 binary32))

Outputs
(neg.f32 (.f32 alpha (.f32 alpha (log1p.f32 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 u0)))
(neg.f32 (.f32 (log1p.f32 u0) (.f32 alpha alpha)))
(/.f32 (.f32 (log1p.f32 u0) (.f32 alpha (.f32 alpha (.f32 alpha alpha)))) (*.f32 alpha (neg.f32 alpha)))
(/.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (log1p.f32 u0))) (*.f32 alpha (neg.f32 alpha)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 alpha (log1p.f32 u0))) (/.f32 #s(literal -1 binary32) alpha))
(/.f32 (.f32 (.f32 alpha (.f32 alpha (neg.f32 alpha))) (.f32 alpha (log1p.f32 u0))) (*.f32 alpha alpha))
(/.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha (log1p.f32 u0))) (neg.f32 alpha))
(/.f32 (.f32 (.f32 alpha (.f32 alpha (.f32 alpha alpha))) (log1p.f32 u0)) (*.f32 alpha (neg.f32 alpha)))
(/.f32 (neg.f32 (.f32 (log1p.f32 u0) (.f32 alpha (.f32 alpha (.f32 alpha alpha))))) (*.f32 alpha alpha))
(/.f32 (neg.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (log1p.f32 u0)))) (*.f32 alpha alpha))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 alpha (log1p.f32 u0)))) (neg.f32 (/.f32 #s(literal -1 binary32) alpha)))
(/.f32 (neg.f32 (.f32 (.f32 alpha (.f32 alpha (neg.f32 alpha))) (.f32 alpha (log1p.f32 u0)))) (*.f32 alpha (neg.f32 alpha)))
(/.f32 (neg.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha (log1p.f32 u0)))) (neg.f32 (neg.f32 alpha)))
(/.f32 (neg.f32 (.f32 (.f32 alpha (.f32 alpha (.f32 alpha alpha))) (log1p.f32 u0))) (*.f32 alpha alpha))
(.f32 alpha (.f32 #s(literal -1 binary32) (*.f32 alpha (log1p.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 u0)))
(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 u0)))
(.f32 (neg.f32 alpha) (/.f32 (.f32 alpha (log1p.f32 u0)) #s(literal 1 binary32)))
(.f32 (.f32 alpha alpha) (/.f32 (*.f32 alpha (log1p.f32 u0)) (neg.f32 alpha)))
(.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)) (.f32 alpha (log1p.f32 u0))))
(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 u0))
(.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 (*.f32 alpha (log1p.f32 u0)) alpha))
(.f32 #s(literal 1 binary32) (neg.f32 (.f32 alpha (*.f32 alpha (log1p.f32 u0)))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 alpha (log1p.f32 u0)) (/.f32 #s(literal -1 binary32) alpha)))
(.f32 (log1p.f32 u0) (.f32 alpha (neg.f32 alpha)))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)) (/.f32 (.f32 alpha (log1p.f32 u0)) (/.f32 #s(literal 1 binary32) (.f32 alpha (*.f32 alpha alpha)))))
(.f32 #s(literal -1 binary32) (.f32 alpha (*.f32 alpha (log1p.f32 u0))))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 alpha (log1p.f32 u0)) (/.f32 alpha (*.f32 alpha alpha))))
(.f32 (.f32 alpha (log1p.f32 u0)) (neg.f32 alpha))
(.f32 (/.f32 #s(literal -1 binary32) alpha) (/.f32 (.f32 alpha (log1p.f32 u0)) (/.f32 alpha (.f32 alpha (.f32 alpha alpha)))))
(.f32 (-.f32 (/.f32 #s(literal 0 binary32) alpha) (neg.f32 alpha)) (/.f32 (.f32 alpha (log1p.f32 u0)) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 alpha alpha) #s(literal -1 binary32)) (/.f32 (*.f32 alpha (log1p.f32 u0)) alpha))
(.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 (.f32 alpha (log1p.f32 u0)) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
(.f32 (.f32 (log1p.f32 u0) (neg.f32 alpha)) alpha)
(.f32 (/.f32 (.f32 alpha (.f32 alpha (.f32 alpha alpha))) alpha) (/.f32 (log1p.f32 u0) (neg.f32 alpha)))
(.f32 (.f32 (*.f32 alpha alpha) (/.f32 alpha #s(literal -1 binary32))) (/.f32 (log1p.f32 u0) alpha))
(.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (/.f32 (.f32 alpha (log1p.f32 u0)) (*.f32 alpha alpha)))
(.f32 (/.f32 (log1p.f32 u0) alpha) (.f32 (*.f32 alpha alpha) (/.f32 alpha #s(literal -1 binary32))))
(.f32 (/.f32 (log1p.f32 u0) (neg.f32 alpha)) (/.f32 (.f32 alpha (.f32 alpha (.f32 alpha alpha))) alpha))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 alpha (.f32 alpha alpha))) (/.f32 (*.f32 alpha (log1p.f32 u0)) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 alpha (.f32 alpha (neg.f32 alpha))) alpha) (/.f32 (.f32 alpha (log1p.f32 u0)) alpha))
(.f32 (/.f32 (.f32 alpha (.f32 alpha (neg.f32 alpha))) alpha) (/.f32 (.f32 alpha (log1p.f32 u0)) (neg.f32 (neg.f32 alpha))))
(.f32 (/.f32 (.f32 alpha (.f32 alpha (neg.f32 alpha))) #s(literal -1 binary32)) (/.f32 (.f32 alpha (log1p.f32 u0)) (*.f32 alpha (neg.f32 alpha))))
(.f32 (/.f32 (.f32 alpha (.f32 alpha (.f32 alpha alpha))) #s(literal -1 binary32)) (/.f32 (log1p.f32 u0) (*.f32 alpha alpha)))
(.f32 (/.f32 (log1p.f32 u0) #s(literal -1 binary32)) (.f32 alpha alpha))
(neg.f32 (*.f32 alpha alpha))
(pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 alpha alpha))
(/.f32 alpha (/.f32 #s(literal -1 binary32) alpha))
(/.f32 (neg.f32 alpha) (neg.f32 (/.f32 #s(literal -1 binary32) alpha)))
(/.f32 (.f32 alpha (.f32 alpha alpha)) (neg.f32 alpha))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
(/.f32 (.f32 alpha (.f32 alpha (neg.f32 alpha))) (neg.f32 (neg.f32 alpha)))
(/.f32 (.f32 alpha (.f32 alpha (.f32 alpha alpha))) (.f32 alpha (neg.f32 alpha)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
(/.f32 (neg.f32 (.f32 alpha (.f32 alpha (.f32 alpha alpha)))) (.f32 alpha alpha))
(/.f32 (*.f32 alpha #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) alpha))
(/.f32 (.f32 alpha (.f32 alpha (.f32 alpha (neg.f32 alpha)))) (.f32 alpha alpha))
(/.f32 (.f32 (.f32 alpha (.f32 alpha (neg.f32 alpha))) alpha) (.f32 alpha alpha))
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(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) u0)) (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 0 binary32) u0)))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 u0 (.f32 u0 u0))) (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (.f32 u0 (.f32 u0 u0)))) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0)))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0))) (neg.f32 (+.f32 #s(literal 0 binary32) u0)))
(/.f32 (+.f32 #s(literal 0 binary32) (.f32 u0 (.f32 u0 u0))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 u0 u0) (.f32 #s(literal 0 binary32) (neg.f32 u0)))))
(*.f32 u0 #s(literal -1 binary32))
(*.f32 (neg.f32 u0) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (neg.f32 u0))
(*.f32 #s(literal -1 binary32) u0)
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 3 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3/2 binary32)))
(pow.f32 alpha #s(literal 3 binary32))
(pow.f32 (*.f32 alpha alpha) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 alpha #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 alpha)) #s(literal 3 binary32))
(.f32 alpha (.f32 alpha alpha))
(.f32 (.f32 alpha alpha) alpha)
(*.f32 (pow.f32 alpha #s(literal 3/2 binary32)) (pow.f32 alpha #s(literal 3/2 binary32)))
(*.f32 (pow.f32 alpha #s(literal 3/2 binary32)) (pow.f32 (neg.f32 (neg.f32 alpha)) #s(literal 3/2 binary32)))
(.f32 (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)) (pow.f32 (.f32 alpha (neg.f32 alpha)) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (neg.f32 (neg.f32 alpha)) #s(literal 3/2 binary32)) (pow.f32 alpha #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (neg.f32 alpha) #s(literal 3/2 binary32)) (pow.f32 (neg.f32 alpha) #s(literal 3/2 binary32)))
(exp.f32 (*.f32 #s(literal 3 binary32) (log.f32 (log1p.f32 u0))))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u0))) #s(literal 3/2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u0) #s(literal 3/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 u0)) #s(literal 3/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log.f32 (log1p.f32 u0)) #s(literal 3/2 binary32) (*.f32 (log.f32 (log1p.f32 u0)) #s(literal 3/2 binary32))))
(pow.f32 (log1p.f32 u0) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 (log1p.f32 u0) #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (log1p.f32 u0) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 3 binary32)) (log.f32 (log1p.f32 u0)))
(*.f32 (log1p.f32 u0) (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)))
(*.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (log1p.f32 u0))
(*.f32 (pow.f32 (log1p.f32 u0) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u0)) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (log1p.f32 u0)) #s(literal 3 binary32)))
(exp.f32 (.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 (.f32 u0 u0)))))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 (*.f32 u0 u0)))) #s(literal 1 binary32)))
(pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (log1p.f32 (*.f32 u0 u0))))
(.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 (*.f32 u0 u0)))
(exp.f32 (.f32 #s(literal 3 binary32) (log.f32 (log1p.f32 (.f32 u0 u0)))))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 (*.f32 u0 u0)))) #s(literal 3/2 binary32)))
(exp.f32 (.f32 (log.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 (*.f32 u0 u0))) #s(literal 3/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log.f32 (log1p.f32 (.f32 u0 u0))) #s(literal 3/2 binary32) (.f32 (log.f32 (log1p.f32 (*.f32 u0 u0))) #s(literal 3/2 binary32))))
(pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 3 binary32)) (log.f32 (log1p.f32 (*.f32 u0 u0))))
(.f32 (log1p.f32 (.f32 u0 u0)) (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32)))
(.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (log1p.f32 (*.f32 u0 u0)))
(.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 3/2 binary32)))
(.f32 (pow.f32 (sqrt.f32 (log1p.f32 (.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (log1p.f32 (*.f32 u0 u0))) #s(literal 3 binary32)))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u0))))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u0))) #s(literal 1 binary32)))
(pow.f32 (log1p.f32 u0) #s(literal 2 binary32))
(pow.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (log1p.f32 u0)))
(*.f32 (log1p.f32 u0) (log1p.f32 u0))

simplify492.0ms (4.6%)

Memory

-15.6MiB live, 732.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 640×	`lower-fma.f64`
11 640×	`lower-fma.f32`
6 496×	`lower-+.f64`
6 496×	`lower-+.f32`
5 996×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	750	9013
1	2443	7930
0	8256	7316

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* (pow alpha 2) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))
(* (pow alpha 2) (log (/ -1 u0)))
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 u0)
(* u0 (- (* -1/2 u0) 1))
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))
(* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u0))))
(- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))
(+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))
(* -1 (log (/ -1 u0)))
(- (* -1 (log (/ -1 u0))) (/ 1 u0))
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))
(* 1/3 (* (pow alpha 2) (pow u0 2)))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(* 1/3 (* (pow alpha 2) (pow u0 2)))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* 1/3 (* (pow alpha 2) (pow u0 3)))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(* 1/3 (* (pow alpha 2) (pow u0 3)))
(* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (+ 1/2 (* 1/3 u0)))
(* (pow alpha 2) (+ 1/2 (* 1/3 u0)))
(* (pow alpha 2) (+ 1/2 (* 1/3 u0)))
(* (pow alpha 2) (+ 1/2 (* 1/3 u0)))
(* (pow alpha 2) (+ 1/2 (* 1/3 u0)))
(* (pow alpha 2) (+ 1/2 (* 1/3 u0)))
(* (pow alpha 2) (+ 1/2 (* 1/3 u0)))
(* (pow alpha 2) (+ 1/2 (* 1/3 u0)))
(* (pow alpha 2) (+ 1/2 (* 1/3 u0)))
(* (pow alpha 2) (+ 1/2 (* 1/3 u0)))
(* (pow alpha 2) (+ 1/2 (* 1/3 u0)))
(* (pow alpha 2) (+ 1/2 (* 1/3 u0)))
(* 1/2 (pow alpha 2))
(+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))
(+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))
(+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))
(* 1/3 (* (pow alpha 2) u0))
(* u0 (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* u0 (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* u0 (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* 1/3 (* (pow alpha 2) u0))
(* -1 (* u0 (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))
(* -1 (* u0 (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))
(* -1 (* u0 (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))
(* alpha (+ 1/2 (* 1/3 u0)))
(* alpha (+ 1/2 (* 1/3 u0)))
(* alpha (+ 1/2 (* 1/3 u0)))
(* alpha (+ 1/2 (* 1/3 u0)))
(* alpha (+ 1/2 (* 1/3 u0)))
(* alpha (+ 1/2 (* 1/3 u0)))
(* alpha (+ 1/2 (* 1/3 u0)))
(* alpha (+ 1/2 (* 1/3 u0)))
(* alpha (+ 1/2 (* 1/3 u0)))
(* alpha (+ 1/2 (* 1/3 u0)))
(* alpha (+ 1/2 (* 1/3 u0)))
(* alpha (+ 1/2 (* 1/3 u0)))
(* 1/2 alpha)
(+ (* 1/3 (* alpha u0)) (* 1/2 alpha))
(+ (* 1/3 (* alpha u0)) (* 1/2 alpha))
(+ (* 1/3 (* alpha u0)) (* 1/2 alpha))
(* 1/3 (* alpha u0))
(* u0 (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))
(* u0 (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))
(* u0 (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))
(* 1/3 (* alpha u0))
(* -1 (* u0 (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha))))
(* -1 (* u0 (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha))))
(* -1 (* u0 (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha))))
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 u0)
(* u0 (- (* -1/2 u0) 1))
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))
(* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u0))))
(- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))
(+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))
(* -1 (log (/ -1 u0)))
(- (* -1 (log (/ -1 u0))) (/ 1 u0))
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* (pow alpha 2) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))
(* (pow alpha 2) (log (/ -1 u0)))
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(pow u0 2)
(* (pow u0 2) (+ 1 (* 5/12 (pow u0 2))))
(* (pow u0 2) (+ 1 (* (pow u0 2) (+ 5/12 (* -1 u0)))))
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(pow u0 4)
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(* (pow u0 4) (+ 1 (* -1 (pow u0 2))))
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(* (pow u0 4) (+ 1 (* (pow u0 2) (- (* 11/12 (pow u0 2)) 1))))
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(* (pow u0 4) (+ 1 (* (pow u0 2) (- (* (pow u0 2) (+ 11/12 (* -5/6 (pow u0 2)))) 1))))
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(* 4 (pow (log (/ 1 u0)) 2))
(*.f32 (pow.f32 (neg.f32 (log.f32 u0)) #s(literal 2 binary32)) #s(literal 4 binary32))
(+ (* -4 (/ (log (/ 1 u0)) (pow u0 2))) (* 4 (pow (log (/ 1 u0)) 2)))
(fma.f32 (pow.f32 (neg.f32 (log.f32 u0)) #s(literal 2 binary32)) #s(literal 4 binary32) (/.f32 (neg.f32 (.f32 (log.f32 u0) #s(literal -4 binary32))) (.f32 u0 u0)))
(+ (* -4 (/ (log (/ 1 u0)) (pow u0 2))) (+ (* 2 (/ (log (/ 1 u0)) (pow u0 4))) (+ (* 4 (pow (log (/ 1 u0)) 2)) (/ 1 (pow u0 4)))))
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(- (+ (* -4 (/ (log (/ 1 u0)) (pow u0 2))) (+ (* -4/3 (/ (log (/ 1 u0)) (pow u0 6))) (+ (* 2 (/ (log (/ 1 u0)) (pow u0 4))) (+ (* 4 (pow (log (/ 1 u0)) 2)) (/ 1 (pow u0 4)))))) (/ 1 (pow u0 6)))
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(* 4 (pow (log (/ -1 u0)) 2))
(*.f32 #s(literal 4 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal 2 binary32)))
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(+ (* -4 (/ (log (/ -1 u0)) (pow u0 2))) (+ (* 2 (/ (log (/ -1 u0)) (pow u0 4))) (+ (* 4 (pow (log (/ -1 u0)) 2)) (/ 1 (pow u0 4)))))
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(- (+ (* -4 (/ (log (/ -1 u0)) (pow u0 2))) (+ (* -4/3 (/ (log (/ -1 u0)) (pow u0 6))) (+ (* 2 (/ (log (/ -1 u0)) (pow u0 4))) (+ (* 4 (pow (log (/ -1 u0)) 2)) (/ 1 (pow u0 4)))))) (/ 1 (pow u0 6)))
(fma.f32 #s(literal -4 binary32) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (*.f32 u0 u0)) (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (pow.f32 u0 #s(literal 4 binary32))) (fma.f32 #s(literal 4 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 4 binary32))))) (/.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal -4/3 binary32) #s(literal -1 binary32)) (pow.f32 u0 #s(literal 6 binary32)))))
(pow u0 6)
(pow.f32 u0 #s(literal 6 binary32))
(* (pow u0 6) (+ 1 (* -3/2 (pow u0 2))))
(.f32 (pow.f32 u0 #s(literal 6 binary32)) (fma.f32 (.f32 u0 u0) #s(literal -3/2 binary32) #s(literal 1 binary32)))
(* (pow u0 6) (+ 1 (* (pow u0 2) (- (* 7/4 (pow u0 2)) 3/2))))
(.f32 (pow.f32 u0 #s(literal 6 binary32)) (fma.f32 (.f32 u0 u0) (fma.f32 (*.f32 u0 u0) #s(literal 7/4 binary32) #s(literal -3/2 binary32)) #s(literal 1 binary32)))
(* (pow u0 6) (+ 1 (* (pow u0 2) (- (* (pow u0 2) (+ 7/4 (* -15/8 (pow u0 2)))) 3/2))))
(.f32 (pow.f32 u0 #s(literal 6 binary32)) (fma.f32 (.f32 u0 u0) (fma.f32 (.f32 u0 u0) (fma.f32 (.f32 u0 u0) #s(literal -15/8 binary32) #s(literal 7/4 binary32)) #s(literal -3/2 binary32)) #s(literal 1 binary32)))
(* -8 (pow (log (/ 1 u0)) 3))
(*.f32 #s(literal -8 binary32) (neg.f32 (pow.f32 (log.f32 u0) #s(literal 3 binary32))))
(+ (* -8 (pow (log (/ 1 u0)) 3)) (+ (* 4 (/ (pow (log (/ 1 u0)) 2) (pow u0 2))) (* 8 (/ (pow (log (/ 1 u0)) 2) (pow u0 2)))))
(fma.f32 #s(literal -8 binary32) (neg.f32 (pow.f32 (log.f32 u0) #s(literal 3 binary32))) (.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 u0)) #s(literal 2 binary32)) (.f32 u0 u0)) #s(literal 12 binary32)))
(+ (* -8 (pow (log (/ 1 u0)) 3)) (+ (* -4 (/ (log (/ 1 u0)) (pow u0 4))) (+ (* -2 (/ (* (log (/ 1 u0)) (+ 1 (* 2 (log (/ 1 u0))))) (pow u0 4))) (+ (* -2 (/ (pow (log (/ 1 u0)) 2) (pow u0 4))) (+ (* 4 (/ (pow (log (/ 1 u0)) 2) (pow u0 2))) (* 8 (/ (pow (log (/ 1 u0)) 2) (pow u0 2))))))))
(fma.f32 #s(literal -8 binary32) (neg.f32 (pow.f32 (log.f32 u0) #s(literal 3 binary32))) (fma.f32 #s(literal -2 binary32) (fma.f32 (neg.f32 (log.f32 u0)) (/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 (log.f32 u0)) #s(literal 1 binary32)) (pow.f32 u0 #s(literal 4 binary32))) (/.f32 (pow.f32 (neg.f32 (log.f32 u0)) #s(literal 2 binary32)) (pow.f32 u0 #s(literal 4 binary32)))) (fma.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 u0)) #s(literal 2 binary32)) (.f32 u0 u0)) #s(literal 12 binary32) (/.f32 (neg.f32 (.f32 (log.f32 u0) #s(literal -4 binary32))) (pow.f32 u0 #s(literal 4 binary32))))))
(+ (* -8 (pow (log (/ 1 u0)) 3)) (+ (* -4 (/ (log (/ 1 u0)) (pow u0 4))) (+ (* -2 (/ (* (log (/ 1 u0)) (+ 1 (* 2 (log (/ 1 u0))))) (pow u0 4))) (+ (* -2 (/ (* (log (/ 1 u0)) (- (* -4/3 (log (/ 1 u0))) 1)) (pow u0 6))) (+ (* -2 (/ (pow (log (/ 1 u0)) 2) (pow u0 4))) (+ (* 4/3 (/ (pow (log (/ 1 u0)) 2) (pow u0 6))) (+ (* 4 (/ (log (/ 1 u0)) (pow u0 6))) (+ (* 4 (/ (pow (log (/ 1 u0)) 2) (pow u0 2))) (+ (* 8 (/ (pow (log (/ 1 u0)) 2) (pow u0 2))) (/ 1 (pow u0 6)))))))))))
(fma.f32 #s(literal -8 binary32) (neg.f32 (pow.f32 (log.f32 u0) #s(literal 3 binary32))) (fma.f32 #s(literal -4 binary32) (/.f32 (neg.f32 (log.f32 u0)) (pow.f32 u0 #s(literal 4 binary32))) (fma.f32 #s(literal -2 binary32) (fma.f32 (neg.f32 (log.f32 u0)) (/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 (log.f32 u0)) #s(literal 1 binary32)) (pow.f32 u0 #s(literal 4 binary32))) (/.f32 (.f32 (neg.f32 (log.f32 u0)) (fma.f32 (neg.f32 (log.f32 u0)) #s(literal -4/3 binary32) #s(literal -1 binary32))) (pow.f32 u0 #s(literal 6 binary32)))) (fma.f32 #s(literal -2 binary32) (/.f32 (pow.f32 (neg.f32 (log.f32 u0)) #s(literal 2 binary32)) (pow.f32 u0 #s(literal 4 binary32))) (fma.f32 #s(literal 4/3 binary32) (/.f32 (pow.f32 (neg.f32 (log.f32 u0)) #s(literal 2 binary32)) (pow.f32 u0 #s(literal 6 binary32))) (fma.f32 #s(literal 4 binary32) (/.f32 (neg.f32 (log.f32 u0)) (pow.f32 u0 #s(literal 6 binary32))) (fma.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 u0)) #s(literal 2 binary32)) (.f32 u0 u0)) #s(literal 12 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 6 binary32))))))))))
(* -8 (pow (log (/ -1 u0)) 3))
(*.f32 #s(literal -8 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal 3 binary32)))
(+ (* -8 (pow (log (/ -1 u0)) 3)) (+ (* 4 (/ (pow (log (/ -1 u0)) 2) (pow u0 2))) (* 8 (/ (pow (log (/ -1 u0)) 2) (pow u0 2)))))
(fma.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal 2 binary32)) (.f32 u0 u0)) #s(literal 12 binary32) (.f32 #s(literal -8 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal 3 binary32))))
(+ (* -8 (pow (log (/ -1 u0)) 3)) (+ (* -4 (/ (log (/ -1 u0)) (pow u0 4))) (+ (* -2 (/ (* (log (/ -1 u0)) (+ 1 (* 2 (log (/ -1 u0))))) (pow u0 4))) (+ (* -2 (/ (pow (log (/ -1 u0)) 2) (pow u0 4))) (+ (* 4 (/ (pow (log (/ -1 u0)) 2) (pow u0 2))) (* 8 (/ (pow (log (/ -1 u0)) 2) (pow u0 2))))))))
(fma.f32 #s(literal -8 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal 3 binary32)) (fma.f32 #s(literal -4 binary32) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (pow.f32 u0 #s(literal 4 binary32))) (fma.f32 #s(literal -2 binary32) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (/.f32 (fma.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal 1 binary32)) (pow.f32 u0 #s(literal 4 binary32))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal 2 binary32)) (pow.f32 u0 #s(literal 4 binary32)))) (/.f32 (.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal 2 binary32)) #s(literal 12 binary32)) (.f32 u0 u0)))))
(+ (* -8 (pow (log (/ -1 u0)) 3)) (+ (* -4 (/ (log (/ -1 u0)) (pow u0 4))) (+ (* -2 (/ (* (log (/ -1 u0)) (+ 1 (* 2 (log (/ -1 u0))))) (pow u0 4))) (+ (* -2 (/ (* (log (/ -1 u0)) (- (* -4/3 (log (/ -1 u0))) 1)) (pow u0 6))) (+ (* -2 (/ (pow (log (/ -1 u0)) 2) (pow u0 4))) (+ (* 4/3 (/ (pow (log (/ -1 u0)) 2) (pow u0 6))) (+ (* 4 (/ (log (/ -1 u0)) (pow u0 6))) (+ (* 4 (/ (pow (log (/ -1 u0)) 2) (pow u0 2))) (+ (* 8 (/ (pow (log (/ -1 u0)) 2) (pow u0 2))) (/ 1 (pow u0 6)))))))))))
(fma.f32 #s(literal -8 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal 3 binary32)) (fma.f32 #s(literal -4 binary32) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (pow.f32 u0 #s(literal 4 binary32))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal 1 binary32)) (pow.f32 u0 #s(literal 4 binary32))) #s(literal -2 binary32)) (fma.f32 #s(literal -2 binary32) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (/.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal -4/3 binary32) #s(literal -1 binary32)) (pow.f32 u0 #s(literal 6 binary32))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal 2 binary32)) (pow.f32 u0 #s(literal 4 binary32)))) (fma.f32 #s(literal 4/3 binary32) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal 2 binary32)) (pow.f32 u0 #s(literal 6 binary32))) (fma.f32 #s(literal 4 binary32) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (pow.f32 u0 #s(literal 6 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal 2 binary32)) (.f32 u0 u0)) #s(literal 12 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 6 binary32))))))))))
(pow u0 2)
(*.f32 u0 u0)
(* (pow u0 2) (+ 1 (* -1 u0)))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) u0) u0)
(* (pow u0 2) (+ 1 (* u0 (- (* 11/12 u0) 1))))
(.f32 (.f32 u0 u0) (fma.f32 u0 (fma.f32 u0 #s(literal 11/12 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)))
(* (pow u0 2) (+ 1 (* u0 (- (* u0 (+ 11/12 (* -5/6 u0))) 1))))
(.f32 (.f32 u0 u0) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -5/6 binary32) #s(literal 11/12 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(pow (log (/ 1 u0)) 2)
(pow.f32 (neg.f32 (log.f32 u0)) #s(literal 2 binary32))
(+ (* -2 (/ (log (/ 1 u0)) u0)) (pow (log (/ 1 u0)) 2))
(fma.f32 (neg.f32 (/.f32 (log.f32 u0) u0)) #s(literal -2 binary32) (pow.f32 (neg.f32 (log.f32 u0)) #s(literal 2 binary32)))
(+ (* -2 (/ (log (/ 1 u0)) u0)) (+ (/ 1 (pow u0 2)) (+ (/ (log (/ 1 u0)) (pow u0 2)) (pow (log (/ 1 u0)) 2))))
(+.f32 (fma.f32 (neg.f32 (/.f32 (log.f32 u0) u0)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 u0 u0))) (fma.f32 (log.f32 u0) (log.f32 u0) (/.f32 (neg.f32 (log.f32 u0)) (.f32 u0 u0))))
(- (+ (* -2 (/ (log (/ 1 u0)) u0)) (+ (* -2/3 (/ (log (/ 1 u0)) (pow u0 3))) (+ (/ 1 (pow u0 2)) (+ (/ (log (/ 1 u0)) (pow u0 2)) (pow (log (/ 1 u0)) 2))))) (/ 1 (pow u0 3)))
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(pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2)
(pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u0))) #s(literal 2 binary32))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 u0)))) u0)) (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2))
(fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u0))) u0) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u0))) #s(literal 2 binary32)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u0))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u0)))))) u0))) u0)) (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2))
(-.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u0))) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u0))) (/.f32 (-.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u0)))) (neg.f32 u0))) u0))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u0))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u0))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u0)))))) u0)))) u0))) u0)) (pow (+ (log -1) (* -1 (log (/ -1 u0)))) 2))
(-.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u0))) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u0))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u0)))) (/.f32 (fma.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u0))) #s(literal -2/3 binary32) #s(literal 1 binary32)) u0)) (neg.f32 u0))) u0))

eval151.0ms (1.4%)

Memory: 19.9MiB live, 348.1MiB allocated
Compiler: Compiled 42 687 to 3 727 computations (91.3% saved)

prune233.0ms (2.2%)

Memory

-39.2MiB live, 491.7MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1 514	20	1 534
Fresh	7	5	12
Picked	3	2	5
Done	0	1	1
Total	1 524	28	1 552

Accuracy

100.0%

Counts

1 552 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.3%	(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
	91.8%	(/.f32 (.f32 (.f32 (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (.f32 alpha alpha)) (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (.f32 alpha (neg.f32 alpha)))) u0) (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha (neg.f32 alpha))))
▶	98.9%	(.f32 (/.f32 (.f32 alpha (*.f32 alpha alpha)) (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
▶	98.7%	(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0)))
	98.2%	(.f32 (.f32 (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) alpha) (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) #s(literal -1 binary32))) (log1p.f32 (neg.f32 u0)))
	94.1%	(.f32 (.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (neg.f32 alpha))) alpha) (.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
	98.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 alpha (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (log1p.f32 (neg.f32 u0)))
	98.3%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)) (/.f32 alpha (/.f32 #s(literal 1 binary32) (.f32 alpha (*.f32 alpha alpha))))) (log1p.f32 (neg.f32 u0)))
	98.6%	(.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) alpha) (.f32 alpha alpha)) alpha) (log1p.f32 (neg.f32 u0)))
	98.9%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
	94.1%	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
	92.1%	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
	87.6%	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
✓	99.1%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
✓	53.7%	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
▶	75.6%	(.f32 (.f32 alpha u0) alpha)
	87.7%	(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
	94.2%	(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 (.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))
	87.8%	(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 alpha alpha)))
	92.0%	(.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (/.f32 (.f32 alpha (*.f32 alpha alpha)) alpha)))
	92.4%	(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
	88.0%	(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
	75.5%	(.f32 u0 (/.f32 #s(literal 1 binary32) (/.f32 alpha (.f32 alpha (*.f32 alpha alpha)))))
	92.2%	(.f32 u0 (+.f32 (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha alpha)))
	91.9%	(.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 alpha alpha) (*.f32 u0 u0))))))
▶	92.0%	(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
✓	75.6%	(.f32 u0 (.f32 alpha alpha))
	92.1%	(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))

Compiler

Compiled 920 to 537 computations (41.6% saved)

simplify302.0ms (2.8%)

Memory

26.2MiB live, 374.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f32 (neg.f32 u0))
✓	cost-diff	0	(/.f32 #s(literal -1 binary32) alpha)
✓	cost-diff	0	(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0)))
✓	cost-diff	480	(/.f32 alpha (/.f32 #s(literal -1 binary32) alpha))
✓	cost-diff	0	(.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
✓	cost-diff	0	(.f32 u0 (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
✓	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	320	(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
✓	cost-diff	0	(fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
✓	cost-diff	0	(*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
✓	cost-diff	0	(.f32 alpha (.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
✓	cost-diff	0	(*.f32 alpha u0)
✓	cost-diff	0	(.f32 (.f32 alpha u0) alpha)
✓	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	0	(.f32 alpha (.f32 alpha alpha))
✓	cost-diff	0	(.f32 (/.f32 (.f32 alpha (*.f32 alpha alpha)) (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
✓	cost-diff	512	(/.f32 (.f32 alpha (.f32 alpha alpha)) (neg.f32 alpha))

Rules

5 664×	`lower-fma.f64`
5 658×	`lower-fma.f32`
3 626×	`lower-*.f64`
3 604×	`lower-*.f32`
2 476×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	179
0	52	171
1	114	171
2	345	163
3	1091	163
4	2119	163
5	4114	163
6	5660	163
7	7822	163
0	8022	163

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f32 (/.f32 (.f32 alpha (*.f32 alpha alpha)) (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
(/.f32 (.f32 alpha (.f32 alpha alpha)) (neg.f32 alpha))
(.f32 alpha (.f32 alpha alpha))
alpha
(*.f32 alpha alpha)
(neg.f32 alpha)
(log1p.f32 (neg.f32 u0))
(neg.f32 u0)
u0
(.f32 (.f32 alpha u0) alpha)
(*.f32 alpha u0)
alpha
u0
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
u0
(.f32 alpha (.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
alpha
(*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
(*.f32 alpha alpha)
alpha
u0
(.f32 u0 (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
(.f32 alpha (.f32 alpha u0))
(*.f32 alpha u0)
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0)))
(/.f32 alpha (/.f32 #s(literal -1 binary32) alpha))
alpha
(/.f32 #s(literal -1 binary32) alpha)
#s(literal -1 binary32)
(log1p.f32 (neg.f32 u0))
(neg.f32 u0)
u0

Outputs
(.f32 (/.f32 (.f32 alpha (*.f32 alpha alpha)) (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(/.f32 (.f32 alpha (.f32 alpha alpha)) (neg.f32 alpha))
(*.f32 alpha (neg.f32 alpha))
(.f32 alpha (.f32 alpha alpha))
alpha
(*.f32 alpha alpha)
(neg.f32 alpha)
(log1p.f32 (neg.f32 u0))
(neg.f32 u0)
u0
(.f32 (.f32 alpha u0) alpha)
(.f32 alpha (.f32 alpha u0))
(*.f32 alpha u0)
alpha
u0
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0))
u0
(.f32 alpha (.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(.f32 alpha (fma.f32 u0 (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))
alpha
(*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(fma.f32 u0 (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)
(fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0))
(*.f32 alpha alpha)
alpha
u0
(.f32 u0 (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
(.f32 u0 (.f32 alpha (.f32 u0 (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))
(.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
(.f32 alpha (.f32 u0 (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
(.f32 alpha (.f32 alpha u0))
(*.f32 alpha u0)
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0)))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(/.f32 alpha (/.f32 #s(literal -1 binary32) alpha))
(*.f32 alpha (neg.f32 alpha))
alpha
(/.f32 #s(literal -1 binary32) alpha)
#s(literal -1 binary32)
(log1p.f32 (neg.f32 u0))
(neg.f32 u0)
u0

localize98.0ms (0.9%)

Memory

9.6MiB live, 171.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f32 u0)
✓	accuracy	100.0%	(log1p.f32 (neg.f32 u0))
✓	accuracy	99.1%	(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0)))
✓	accuracy	99.0%	(/.f32 alpha (/.f32 #s(literal -1 binary32) alpha))
✓	accuracy	99.2%	(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
✓	accuracy	99.2%	(.f32 alpha (.f32 alpha u0))
✓	accuracy	99.1%	(.f32 u0 (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
✓	accuracy	99.0%	(.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
✓	accuracy	100.0%	(fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
✓	accuracy	99.5%	(.f32 alpha (.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
✓	accuracy	99.4%	(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
✓	accuracy	99.2%	(*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
✓	accuracy	100.0%	(*.f32 alpha u0)
✓	accuracy	99.2%	(.f32 (.f32 alpha u0) alpha)
✓	accuracy	100.0%	(log1p.f32 (neg.f32 u0))
✓	accuracy	99.2%	(.f32 alpha (.f32 alpha alpha))
✓	accuracy	99.2%	(/.f32 (.f32 alpha (.f32 alpha alpha)) (neg.f32 alpha))
✓	accuracy	99.1%	(.f32 (/.f32 (.f32 alpha (*.f32 alpha alpha)) (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))

Samples

57.0ms

256×

valid

Compiler

Compiled 203 to 32 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 24.0ms (55.5% of total)

ival-div: 7.0ms (16.2% of total)

const: 4.0ms (9.2% of total)

ival-add: 3.0ms (6.9% of total)

ival-log1p: 2.0ms (4.6% of total)

ival-neg: 2.0ms (4.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory

7.6MiB live, 44.3MiB allocated

Counts

19 → 360

Calls

Call 1

Inputs
#<alt (/.f32 (.f32 alpha (.f32 alpha alpha)) (neg.f32 alpha))>
#<alt (.f32 (/.f32 (.f32 alpha (*.f32 alpha alpha)) (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))>
#<alt (.f32 alpha (.f32 alpha alpha))>
#<alt (*.f32 alpha alpha)>
#<alt (.f32 (.f32 alpha u0) alpha)>
#<alt (*.f32 alpha u0)>
#<alt (.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))>
#<alt (.f32 alpha (.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))>
#<alt (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))>
#<alt (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))>
#<alt (fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))>
#<alt (.f32 u0 (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))>
#<alt (.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))>
#<alt (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha))>
#<alt (*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0)))>
#<alt (/.f32 #s(literal -1 binary32) alpha)>
#<alt (log1p.f32 (neg.f32 u0))>
#<alt (.f32 alpha (.f32 alpha u0))>
#<alt (neg.f32 u0)>

Outputs
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* (pow alpha 2) u0)>
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))>
#<alt (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))>
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))>
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))>
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))>
#<alt (* (pow alpha 2) (log (/ -1 u0)))>
#<alt (+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))>
#<alt (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))>
#<alt (* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (pow alpha 2)>
#<alt (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))>
#<alt (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))>
#<alt (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))>
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt alpha>
#<alt (+ alpha (* 1/2 (* alpha u0)))>
#<alt (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))>
#<alt (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))>
#<alt (* 1/3 (* alpha (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))>
#<alt (* (pow u0 2) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2)))))>
#<alt (* (pow u0 2) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2)))))>
#<alt (* 1/3 (* alpha (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))>
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0)) (* 1/3 alpha)))>
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0)) (* 1/3 alpha)))>
#<alt 1>
#<alt (+ 1 (* 1/2 u0))>
#<alt (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (* 1/3 (pow u0 2))>
#<alt (* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))>
#<alt (* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* 1/3 (pow u0 2))>
#<alt (* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))>
#<alt (* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) u0)>
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))>
#<alt (* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* 1/2 (* (pow alpha 2) (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))>
#<alt (* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))>
#<alt (* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))>
#<alt (* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (* 1/2 (* (pow alpha 2) u0))>
#<alt (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))>
#<alt (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))>
#<alt (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* (pow alpha 2) u0)>
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))>
#<alt (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))>
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))>
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))>
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))>
#<alt (* (pow alpha 2) (log (/ -1 u0)))>
#<alt (+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))>
#<alt (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (/ -1 alpha)>
#<alt (* -1 u0)>
#<alt (* u0 (- (* -1/2 u0) 1))>
#<alt (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))>
#<alt (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u0))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))>
#<alt (* -1 (log (/ -1 u0)))>
#<alt (- (* -1 (log (/ -1 u0))) (/ 1 u0))>
#<alt (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))>
#<alt (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* (pow alpha 2) u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>
#<alt (* -1 u0)>

Calls

90 calls:

Time	Variable		Point	Expression
21.0ms	alpha	@	inf	(* u0 (* alpha (* alpha (+ (* u0 (+ (* u0 1/3) 1/2)) 1))))
1.0ms	alpha	@	0	(+ (* (* alpha alpha) u0) (* u0 (* (* alpha (* alpha u0)) (+ (* u0 1/3) 1/2))))
0.0ms	alpha	@	0	(* u0 (* alpha (* alpha (+ (* u0 (+ (* u0 1/3) 1/2)) 1))))
0.0ms	alpha	@	inf	(+ (* (* alpha alpha) u0) (* u0 (* (* alpha (* alpha u0)) (+ (* u0 1/3) 1/2))))
0.0ms	alpha	@	inf	(* alpha (* alpha (+ (* u0 (+ (* u0 1/3) 1/2)) 1)))

rewrite380.0ms (3.6%)

Memory

12.1MiB live, 636.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 428×	`lower-fma.f64`
6 422×	`lower-fma.f32`
5 148×	`lower-*.f64`
5 126×	`lower-*.f32`
3 374×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	142
0	52	134
1	185	134
2	1293	124
0	8429	124

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

19 → 993

Calls

Call 1

Inputs
(/.f32 (.f32 alpha (.f32 alpha alpha)) (neg.f32 alpha))
(.f32 (/.f32 (.f32 alpha (*.f32 alpha alpha)) (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
(.f32 alpha (.f32 alpha alpha))
(*.f32 alpha alpha)
(.f32 (.f32 alpha u0) alpha)
(*.f32 alpha u0)
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 alpha (.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
(.f32 u0 (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
(/.f32 alpha (/.f32 #s(literal -1 binary32) alpha))
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0)))
(/.f32 #s(literal -1 binary32) alpha)
(log1p.f32 (neg.f32 u0))
(.f32 alpha (.f32 alpha u0))
(neg.f32 u0)

Outputs
(neg.f32 (*.f32 alpha alpha))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) alpha) (.f32 alpha (*.f32 alpha alpha))))
(neg.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) alpha)))
(neg.f32 (/.f32 (.f32 (.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (neg.f32 alpha)))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (*.f32 alpha (neg.f32 alpha)))
(+.f32 (.f32 alpha #s(literal 0 binary32)) (.f32 alpha (neg.f32 alpha)))
(pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) #s(literal -1 binary32))
(fma.f32 alpha #s(literal 0 binary32) (*.f32 alpha (neg.f32 alpha)))
(-.f32 #s(literal 0 binary32) (*.f32 alpha alpha))
(-.f32 (/.f32 #s(literal 0 binary32) alpha) (*.f32 alpha alpha))
(/.f32 alpha (/.f32 #s(literal -1 binary32) alpha))
(/.f32 alpha (.f32 (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)) alpha))
(/.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(/.f32 (.f32 alpha (.f32 alpha alpha)) (neg.f32 alpha))
(/.f32 (neg.f32 alpha) (/.f32 #s(literal 1 binary32) alpha))
(/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) alpha))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
(/.f32 #s(literal 1 binary32) (/.f32 alpha (.f32 (.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(/.f32 (*.f32 alpha (neg.f32 alpha)) #s(literal 1 binary32))
(/.f32 (.f32 alpha (.f32 alpha (neg.f32 alpha))) alpha)
(/.f32 (.f32 (.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) alpha)
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) alpha)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)))
(/.f32 (.f32 (.f32 alpha (.f32 alpha (neg.f32 alpha))) (.f32 alpha alpha)) (*.f32 (fma.f32 alpha alpha #s(literal 0 binary32)) alpha))
(/.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 alpha alpha)) (.f32 alpha alpha))
(/.f32 (.f32 (.f32 alpha (.f32 alpha (neg.f32 alpha))) #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) alpha)))
(/.f32 (.f32 alpha (.f32 alpha (.f32 alpha (neg.f32 alpha)))) (.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 0 binary32))))
(/.f32 (neg.f32 (.f32 (.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))) (neg.f32 alpha))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)))) (+.f32 #s(literal 0 binary32) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (.f32 #s(literal 0 binary32) (*.f32 alpha alpha)))))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 alpha alpha) (.f32 alpha alpha))) (+.f32 #s(literal 0 binary32) (.f32 alpha alpha)))
(*.f32 alpha (neg.f32 alpha))
(.f32 (.f32 alpha alpha) #s(literal -1 binary32))
(.f32 (.f32 alpha (*.f32 alpha alpha)) (/.f32 #s(literal -1 binary32) alpha))
(*.f32 (neg.f32 alpha) alpha)
(.f32 #s(literal 1 binary32) (.f32 alpha (neg.f32 alpha)))
(.f32 #s(literal -1 binary32) (.f32 alpha alpha))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 alpha alpha) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) alpha) (.f32 alpha (*.f32 alpha alpha)))
(.f32 (/.f32 #s(literal -1 binary32) alpha) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha (*.f32 alpha alpha))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) alpha) (/.f32 (.f32 alpha (*.f32 alpha alpha)) #s(literal 1 binary32)))
(.f32 (.f32 alpha (neg.f32 alpha)) #s(literal 1 binary32))
(.f32 (.f32 alpha (*.f32 alpha (neg.f32 alpha))) (/.f32 #s(literal 1 binary32) alpha))
(.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) alpha))
(.f32 (/.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32))
(.f32 (/.f32 (.f32 alpha (*.f32 alpha alpha)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) alpha))
(*.f32 (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) alpha) (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) alpha))
(*.f32 (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) (neg.f32 alpha)))
(.f32 (/.f32 (.f32 alpha (neg.f32 alpha)) #s(literal -1 binary32)) #s(literal -1 binary32))
(.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) #s(literal -1/2 binary32)))
(neg.f32 (.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(neg.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) alpha))
(neg.f32 (.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha alpha)))
(neg.f32 (.f32 (neg.f32 alpha) (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0)))))
(neg.f32 (.f32 (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) (neg.f32 alpha)))
(neg.f32 (.f32 (.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)) (neg.f32 alpha)))
(neg.f32 (/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal 1 binary32) alpha)))
(neg.f32 (/.f32 (*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal -1 binary32) alpha)))
(neg.f32 (/.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) alpha)))
(neg.f32 (/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)) (neg.f32 alpha)))
(+.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal 0 binary32)) (.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha))))
(+.f32 (.f32 #s(literal 0 binary32) (.f32 alpha (log1p.f32 (neg.f32 u0)))) (.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha))))
(pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))) #s(literal -1 binary32))
(fma.f32 #s(literal 0 binary32) (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))))
(fma.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal 0 binary32) (.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))))
(-.f32 #s(literal 0 binary32) (.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(-.f32 #s(literal 0 binary32) (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(-.f32 #s(literal 0 binary32) (.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha alpha)))
(-.f32 (/.f32 (log1p.f32 (neg.f32 (.f32 u0 (.f32 u0 u0)))) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (/.f32 (log1p.f32 (fma.f32 u0 u0 u0)) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))))
(-.f32 (/.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (/.f32 (log1p.f32 u0) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
(/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 alpha (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha))))))
(/.f32 (.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha))) #s(literal 1 binary32))
(/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal -1 binary32) alpha))
(/.f32 (.f32 (.f32 alpha (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) (neg.f32 alpha))
(/.f32 (*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal 1 binary32) alpha))
(/.f32 (.f32 (neg.f32 alpha) (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0)))) alpha)
(/.f32 (.f32 (neg.f32 alpha) (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0)))) (.f32 (fma.f32 alpha alpha #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) alpha)))
(/.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) alpha))
(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)) alpha)
(/.f32 (.f32 #s(literal -1 binary32) (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)))
(/.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) alpha) #s(literal -1 binary32))
(/.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 alpha (.f32 alpha (neg.f32 alpha)))) (*.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 0 binary32))))
(/.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (*.f32 alpha (neg.f32 alpha))) alpha)
(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(/.f32 (neg.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) alpha))
(/.f32 (neg.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))) (neg.f32 alpha))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)))
(.f32 alpha (/.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) (neg.f32 alpha)))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))
(.f32 (.f32 alpha alpha) (/.f32 (log1p.f32 (neg.f32 u0)) #s(literal -1 binary32)))
(.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 (/.f32 #s(literal -1 binary32) alpha) (log1p.f32 (neg.f32 u0))))
(.f32 (.f32 alpha (*.f32 alpha alpha)) (/.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
(.f32 (neg.f32 alpha) (/.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) alpha))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(.f32 #s(literal 1 binary32) (.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)))
(.f32 #s(literal -1 binary32) (.f32 alpha (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(.f32 #s(literal -1 binary32) (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 #s(literal -1 binary32) (.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha alpha)))
(.f32 (/.f32 #s(literal -1 binary32) alpha) (/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal 1 binary32) (.f32 alpha (*.f32 alpha alpha)))))
(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
(.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) alpha))
(.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 (log1p.f32 (neg.f32 u0)) #s(literal 1 binary32)))
(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) #s(literal 1 binary32))
(.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (neg.f32 alpha))
(.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal -1 binary32) alpha))
(.f32 (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) alpha)
(.f32 (.f32 (neg.f32 alpha) (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0)))) (/.f32 #s(literal 1 binary32) alpha))
(.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (/.f32 (log1p.f32 (neg.f32 u0)) alpha))
(.f32 (/.f32 (log1p.f32 (neg.f32 u0)) alpha) (.f32 (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)))
(.f32 (.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)) alpha)
(.f32 (.f32 (.f32 (.f32 alpha (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) alpha))
(.f32 (/.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha (*.f32 alpha alpha)))))
(.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (.f32 alpha alpha))
(.f32 (/.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (neg.f32 alpha)))
(.f32 (/.f32 (log1p.f32 (neg.f32 u0)) #s(literal 1 binary32)) (.f32 alpha (neg.f32 alpha)))
(.f32 (/.f32 (.f32 alpha (*.f32 alpha alpha)) #s(literal 1 binary32)) (/.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 (/.f32 (log1p.f32 (neg.f32 u0)) #s(literal -1 binary32)) (.f32 alpha alpha))
(.f32 (/.f32 (.f32 alpha (*.f32 alpha (neg.f32 alpha))) #s(literal -1 binary32)) (/.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(neg.f32 (.f32 alpha (.f32 alpha (neg.f32 alpha))))
(neg.f32 (pow.f32 (neg.f32 alpha) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 3 binary32)))
(pow.f32 alpha #s(literal 3 binary32))
(pow.f32 (*.f32 alpha alpha) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 alpha #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 alpha)) #s(literal 3 binary32))
(-.f32 #s(literal 0 binary32) (.f32 alpha (.f32 alpha (neg.f32 alpha))))
(.f32 alpha (.f32 alpha alpha))
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(*.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 alpha) #s(literal 3 binary32)))
(.f32 (.f32 alpha (neg.f32 alpha)) (neg.f32 alpha))
(*.f32 (pow.f32 alpha #s(literal 3/2 binary32)) (pow.f32 alpha #s(literal 3/2 binary32)))
(neg.f32 (*.f32 alpha (neg.f32 alpha)))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(pow.f32 alpha #s(literal 2 binary32))
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(*.f32 (exp.f32 (log.f32 alpha)) (exp.f32 (log.f32 alpha)))
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(*.f32 alpha u0)
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(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)))) (+.f32 #s(literal 0 binary32) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (.f32 #s(literal 0 binary32) (*.f32 alpha alpha)))))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 alpha alpha) (.f32 alpha alpha))) (+.f32 #s(literal 0 binary32) (.f32 alpha alpha)))
(*.f32 alpha (neg.f32 alpha))
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(.f32 (.f32 alpha (*.f32 alpha alpha)) (/.f32 #s(literal -1 binary32) alpha))
(*.f32 (neg.f32 alpha) alpha)
(.f32 #s(literal 1 binary32) (.f32 alpha (neg.f32 alpha)))
(.f32 #s(literal -1 binary32) (.f32 alpha alpha))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 alpha alpha) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) alpha) (.f32 alpha (*.f32 alpha alpha)))
(.f32 (/.f32 #s(literal -1 binary32) alpha) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha (*.f32 alpha alpha))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) alpha) (/.f32 (.f32 alpha (*.f32 alpha alpha)) #s(literal 1 binary32)))
(.f32 (.f32 alpha (neg.f32 alpha)) #s(literal 1 binary32))
(.f32 (.f32 alpha (*.f32 alpha (neg.f32 alpha))) (/.f32 #s(literal 1 binary32) alpha))
(.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) alpha))
(.f32 (/.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32))
(.f32 (/.f32 (.f32 alpha (*.f32 alpha alpha)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) alpha))
(*.f32 (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) alpha) (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) alpha))
(*.f32 (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) (neg.f32 alpha)))
(.f32 (/.f32 (.f32 alpha (neg.f32 alpha)) #s(literal -1 binary32)) #s(literal -1 binary32))
(.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) #s(literal -1/2 binary32)))
(neg.f32 (.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(neg.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) alpha))
(neg.f32 (.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha alpha)))
(neg.f32 (.f32 (neg.f32 alpha) (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0)))))
(neg.f32 (.f32 (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) (neg.f32 alpha)))
(neg.f32 (.f32 (.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)) (neg.f32 alpha)))
(neg.f32 (/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal 1 binary32) alpha)))
(neg.f32 (/.f32 (*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal -1 binary32) alpha)))
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(/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal -1 binary32) alpha))
(/.f32 (.f32 (.f32 alpha (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) (neg.f32 alpha))
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(/.f32 (.f32 (neg.f32 alpha) (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0)))) alpha)
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(/.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) alpha))
(/.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)) alpha)
(/.f32 (.f32 #s(literal -1 binary32) (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)))
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(/.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (*.f32 alpha (neg.f32 alpha))) alpha)
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(/.f32 (neg.f32 (.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))) (neg.f32 alpha))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)))
(.f32 alpha (/.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) (neg.f32 alpha)))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))
(.f32 (.f32 alpha alpha) (/.f32 (log1p.f32 (neg.f32 u0)) #s(literal -1 binary32)))
(.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 (/.f32 #s(literal -1 binary32) alpha) (log1p.f32 (neg.f32 u0))))
(.f32 (.f32 alpha (*.f32 alpha alpha)) (/.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
(.f32 (neg.f32 alpha) (/.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) alpha))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(.f32 #s(literal 1 binary32) (.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)))
(.f32 #s(literal -1 binary32) (.f32 alpha (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(.f32 #s(literal -1 binary32) (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 #s(literal -1 binary32) (.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha alpha)))
(.f32 (/.f32 #s(literal -1 binary32) alpha) (/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal 1 binary32) (.f32 alpha (*.f32 alpha alpha)))))
(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
(.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) alpha))
(.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 (log1p.f32 (neg.f32 u0)) #s(literal 1 binary32)))
(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha (neg.f32 alpha))) #s(literal 1 binary32))
(.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (neg.f32 alpha))
(.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal -1 binary32) alpha))
(.f32 (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) alpha)
(.f32 (.f32 (neg.f32 alpha) (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0)))) (/.f32 #s(literal 1 binary32) alpha))
(.f32 (.f32 (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)) (/.f32 (log1p.f32 (neg.f32 u0)) alpha))
(.f32 (/.f32 (log1p.f32 (neg.f32 u0)) alpha) (.f32 (.f32 alpha (.f32 alpha alpha)) #s(literal -1 binary32)))
(.f32 (.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)) alpha)
(.f32 (.f32 (.f32 (.f32 alpha (*.f32 alpha alpha)) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) alpha))
(.f32 (/.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha (*.f32 alpha alpha)))))
(.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (.f32 alpha alpha))
(.f32 (/.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (neg.f32 alpha)))
(.f32 (/.f32 (log1p.f32 (neg.f32 u0)) #s(literal 1 binary32)) (.f32 alpha (neg.f32 alpha)))
(.f32 (/.f32 (.f32 alpha (*.f32 alpha alpha)) #s(literal 1 binary32)) (/.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 (/.f32 (log1p.f32 (neg.f32 u0)) #s(literal -1 binary32)) (.f32 alpha alpha))
(.f32 (/.f32 (.f32 alpha (*.f32 alpha (neg.f32 alpha))) #s(literal -1 binary32)) (/.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(neg.f32 (/.f32 #s(literal 1 binary32) alpha))
(neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 alpha)) #s(literal -1 binary32)))
(pow.f32 (neg.f32 alpha) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) alpha))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) alpha))
(/.f32 alpha (*.f32 alpha (neg.f32 alpha)))
(/.f32 (neg.f32 alpha) (*.f32 alpha alpha))
(/.f32 #s(literal 1 binary32) (neg.f32 alpha))
(/.f32 #s(literal -1 binary32) alpha)
(/.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -1 binary32))
(.f32 (neg.f32 alpha) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) alpha))
(*.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -1 binary32))
(*.f32 (pow.f32 (neg.f32 alpha) #s(literal -1/2 binary32)) (pow.f32 (neg.f32 alpha) #s(literal -1/2 binary32)))
(log1p.f32 (neg.f32 u0))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 (log1p.f32 (neg.f32 (.f32 u0 (.f32 u0 u0)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))))
(+.f32 (log1p.f32 (neg.f32 (.f32 u0 (.f32 u0 u0)))) (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0))))
(+.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u0))))
(+.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (neg.f32 (log1p.f32 u0)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u0))))
(-.f32 (log1p.f32 (neg.f32 (.f32 u0 (.f32 u0 u0)))) (log1p.f32 (fma.f32 u0 u0 u0)))
(-.f32 (log1p.f32 (neg.f32 (.f32 u0 (.f32 u0 u0)))) (log.f32 (fma.f32 u0 u0 (+.f32 #s(literal 1 binary32) u0))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0))
(-.f32 (log.f32 (neg.f32 (fma.f32 (neg.f32 u0) (*.f32 u0 u0) #s(literal 1 binary32)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u0 u0))) (log.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u0))))
(-.f32 (log.f32 (fma.f32 u0 u0 #s(literal -1 binary32))) (log.f32 (+.f32 (neg.f32 u0) #s(literal -1 binary32))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 (.f32 u0 u0)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 (.f32 u0 u0)))) (log1p.f32 (neg.f32 (.f32 u0 (.f32 u0 u0)))) (fma.f32 (log1p.f32 (fma.f32 u0 u0 u0)) (log1p.f32 (fma.f32 u0 u0 u0)) (.f32 (log1p.f32 (neg.f32 (.f32 u0 (*.f32 u0 u0)))) (log1p.f32 (fma.f32 u0 u0 u0))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0))) (fma.f32 (log1p.f32 u0) (log1p.f32 u0) (.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))))
(/.f32 (-.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 (.f32 u0 u0)))) (log1p.f32 (neg.f32 (.f32 u0 (.f32 u0 u0))))) (.f32 (log1p.f32 (fma.f32 u0 u0 u0)) (log1p.f32 (fma.f32 u0 u0 u0)))) (+.f32 (log1p.f32 (neg.f32 (.f32 u0 (.f32 u0 u0)))) (log1p.f32 (fma.f32 u0 u0 u0))))
(/.f32 (-.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u0 u0))) (log1p.f32 (neg.f32 (.f32 u0 u0)))) (.f32 (log1p.f32 u0) (log1p.f32 u0))) (+.f32 (log1p.f32 (neg.f32 (*.f32 u0 u0))) (log1p.f32 u0)))
(*.f32 (log1p.f32 (neg.f32 u0)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log1p.f32 (neg.f32 u0)))
(log.f32 (-.f32 #s(literal 1 binary32) u0))
(neg.f32 (.f32 u0 (.f32 alpha (neg.f32 alpha))))
(.f32 alpha (.f32 alpha u0))
(.f32 (.f32 alpha alpha) u0)
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 alpha u0) alpha)
(neg.f32 u0)
(+.f32 #s(literal 0 binary32) (neg.f32 u0))
(-.f32 #s(literal 0 binary32) u0)
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(-.f32 (/.f32 #s(literal 0 binary32) u0) u0)
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(/.f32 #s(literal 1 binary32) (/.f32 u0 (neg.f32 (*.f32 u0 u0))))
(/.f32 (neg.f32 (.f32 u0 (.f32 u0 u0))) (fma.f32 u0 u0 #s(literal 0 binary32)))
(/.f32 (neg.f32 (.f32 u0 (.f32 u0 u0))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 u0 u0) (.f32 #s(literal 0 binary32) (neg.f32 u0)))))
(/.f32 (*.f32 u0 u0) (neg.f32 u0))
(/.f32 (neg.f32 (*.f32 u0 u0)) u0)
(/.f32 (neg.f32 (neg.f32 (.f32 u0 (.f32 u0 u0)))) (neg.f32 (fma.f32 u0 u0 #s(literal 0 binary32))))
(*.f32 u0 #s(literal -1 binary32))
(*.f32 (neg.f32 u0) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (neg.f32 u0))
(*.f32 #s(literal -1 binary32) u0)
(.f32 (neg.f32 (.f32 u0 (*.f32 u0 u0))) (/.f32 #s(literal 1 binary32) (fma.f32 u0 u0 #s(literal 0 binary32))))
(.f32 (neg.f32 (.f32 u0 u0)) (/.f32 #s(literal 1 binary32) u0))

simplify376.0ms (3.5%)

Memory

1.0MiB live, 679.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 186×	`lower-fma.f64`
14 186×	`lower-fma.f32`
3 930×	`lower-*.f64`
3 930×	`lower-*.f32`
3 400×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	3723
1	588	3437
2	1720	3227
3	3873	3187
0	8201	2961

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 359

Calls

Call 1

Inputs
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* (pow alpha 2) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))
(* (pow alpha 2) (log (/ -1 u0)))
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* (pow alpha 2) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* 1/3 (* (pow alpha 2) (pow u0 3)))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(* 1/3 (* (pow alpha 2) (pow u0 3)))
(* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(pow alpha 2)
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))
(* 1/3 (* (pow alpha 2) (pow u0 2)))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(* 1/3 (* (pow alpha 2) (pow u0 2)))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
alpha
(+ alpha (* 1/2 (* alpha u0)))
(+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))
(+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))
(* 1/3 (* alpha (pow u0 2)))
(* (pow u0 2) (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))
(* (pow u0 2) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2)))))
(* (pow u0 2) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2)))))
(* 1/3 (* alpha (pow u0 2)))
(* (pow u0 2) (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0)) (* 1/3 alpha)))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0)) (* 1/3 alpha)))
1
(+ 1 (* 1/2 u0))
(+ 1 (* u0 (+ 1/2 (* 1/3 u0))))
(+ 1 (* u0 (+ 1/2 (* 1/3 u0))))
(* 1/3 (pow u0 2))
(* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))
(* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(* 1/3 (pow u0 2))
(* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))
(* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ u0 (* (pow u0 2) (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* 1/3 (* (pow alpha 2) (pow u0 3)))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(* 1/3 (* (pow alpha 2) (pow u0 3)))
(* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))
(* 1/2 (* (pow alpha 2) (pow u0 2)))
(* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))
(* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))
(* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))
(* 1/3 (* (pow alpha 2) (pow u0 3)))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* 1/3 (* (pow alpha 2) (pow u0 3)))
(* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))
(* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))
(* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* (pow u0 2) (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))
(* (pow alpha 2) (* u0 (+ 1/2 (* 1/3 u0))))
(* 1/2 (* (pow alpha 2) u0))
(* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))
(* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))
(* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))
(* 1/3 (* (pow alpha 2) (pow u0 2)))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* 1/3 (* (pow alpha 2) (pow u0 2)))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* (pow alpha 2) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))
(* (pow alpha 2) (log (/ -1 u0)))
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(/ -1 alpha)
(/ -1 alpha)
(/ -1 alpha)
(/ -1 alpha)
(/ -1 alpha)
(/ -1 alpha)
(/ -1 alpha)
(/ -1 alpha)
(/ -1 alpha)
(/ -1 alpha)
(/ -1 alpha)
(/ -1 alpha)
(* -1 u0)
(* u0 (- (* -1/2 u0) 1))
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))
(* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u0))))
(- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))
(+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))
(* -1 (log (/ -1 u0)))
(- (* -1 (log (/ -1 u0))) (/ 1 u0))
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* (pow alpha 2) u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)
(* -1 u0)

Outputs
(* -1 (pow alpha 2))
(neg.f32 (*.f32 alpha alpha))
(* -1 (pow alpha 2))
(neg.f32 (*.f32 alpha alpha))
(* -1 (pow alpha 2))
(neg.f32 (*.f32 alpha alpha))
(* -1 (pow alpha 2))
(neg.f32 (*.f32 alpha alpha))
(* -1 (pow alpha 2))
(neg.f32 (*.f32 alpha alpha))
(* -1 (pow alpha 2))
(neg.f32 (*.f32 alpha alpha))
(* -1 (pow alpha 2))
(neg.f32 (*.f32 alpha alpha))
(* -1 (pow alpha 2))
(neg.f32 (*.f32 alpha alpha))
(* -1 (pow alpha 2))
(neg.f32 (*.f32 alpha alpha))
(* -1 (pow alpha 2))
(neg.f32 (*.f32 alpha alpha))
(* -1 (pow alpha 2))
(neg.f32 (*.f32 alpha alpha))
(* -1 (pow alpha 2))
(neg.f32 (*.f32 alpha alpha))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (neg.f32 (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (neg.f32 (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (neg.f32 (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (neg.f32 (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (neg.f32 (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (neg.f32 (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (neg.f32 (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (neg.f32 (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (neg.f32 (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (neg.f32 (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (neg.f32 (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (neg.f32 (.f32 alpha alpha)) (log1p.f32 (neg.f32 u0)))
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(.f32 (.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u0))
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))
(.f32 u0 (fma.f32 u0 (.f32 (.f32 (.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))
(.f32 (.f32 alpha alpha) (-.f32 (neg.f32 (log.f32 u0)) (log.f32 #s(literal -1 binary32))))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))
(.f32 (.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1 binary32) u0) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0))))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))
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(neg.f32 (.f32 (log.f32 (neg.f32 u0)) (.f32 alpha alpha)))
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))
(.f32 (.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1 binary32) u0) (log.f32 (neg.f32 u0))))
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(fma.f32 alpha (.f32 alpha (neg.f32 (log.f32 (neg.f32 u0)))) (.f32 (/.f32 alpha u0) (fma.f32 alpha (/.f32 #s(literal 1/2 binary32) u0) alpha)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(fma.f32 alpha (.f32 alpha (neg.f32 (log.f32 (neg.f32 u0)))) (/.f32 (fma.f32 alpha alpha (/.f32 (.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u0))) u0)) u0))
(/ -1 alpha)
(/.f32 #s(literal -1 binary32) alpha)
(/ -1 alpha)
(/.f32 #s(literal -1 binary32) alpha)
(/ -1 alpha)
(/.f32 #s(literal -1 binary32) alpha)
(/ -1 alpha)
(/.f32 #s(literal -1 binary32) alpha)
(/ -1 alpha)
(/.f32 #s(literal -1 binary32) alpha)
(/ -1 alpha)
(/.f32 #s(literal -1 binary32) alpha)
(/ -1 alpha)
(/.f32 #s(literal -1 binary32) alpha)
(/ -1 alpha)
(/.f32 #s(literal -1 binary32) alpha)
(/ -1 alpha)
(/.f32 #s(literal -1 binary32) alpha)
(/ -1 alpha)
(/.f32 #s(literal -1 binary32) alpha)
(/ -1 alpha)
(/.f32 #s(literal -1 binary32) alpha)
(/ -1 alpha)
(/.f32 #s(literal -1 binary32) alpha)
(* -1 u0)
(neg.f32 u0)
(* u0 (- (* -1/2 u0) 1))
(*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(+ (log -1) (* -1 (log (/ 1 u0))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0))
(- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u0) (/.f32 #s(literal -1 binary32) u0)))
(+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u0) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) u0)) u0)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))
(fma.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u0)) u0) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) u0) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)))
(* -1 (log (/ -1 u0)))
(log.f32 (neg.f32 u0))
(- (* -1 (log (/ -1 u0))) (/ 1 u0))
(+.f32 (log.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) u0))
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))
(+.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) u0)) u0) (log.f32 (neg.f32 u0)))
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))
(+.f32 (log.f32 (neg.f32 u0)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u0)) u0)) u0))
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* -1 u0)
(neg.f32 u0)
(* -1 u0)
(neg.f32 u0)
(* -1 u0)
(neg.f32 u0)
(* -1 u0)
(neg.f32 u0)
(* -1 u0)
(neg.f32 u0)
(* -1 u0)
(neg.f32 u0)
(* -1 u0)
(neg.f32 u0)
(* -1 u0)
(neg.f32 u0)
(* -1 u0)
(neg.f32 u0)
(* -1 u0)
(neg.f32 u0)
(* -1 u0)
(neg.f32 u0)
(* -1 u0)
(neg.f32 u0)

eval130.0ms (1.2%)

Memory: -0.6MiB live, 301.2MiB allocated
Compiler: Compiled 34 347 to 2 566 computations (92.5% saved)

prune179.0ms (1.7%)

Memory

2.7MiB live, 334.1MiB allocated

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	1 466	21	1 487
Fresh	8	12	20
Picked	3	2	5
Done	0	3	3
Total	1 477	38	1 515

Accuracy

100.0%

Counts

1 515 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.9%	(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 u0 (.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))))))
	98.7%	(/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal -1 binary32) alpha))
	98.6%	(/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
	98.8%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))))
	92.1%	(.f32 (fma.f32 (.f32 alpha u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
	92.0%	(.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (neg.f32 alpha)) (.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
	93.8%	(.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
✓	98.7%	(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0)))
	94.1%	(.f32 (.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (neg.f32 alpha))) alpha) (.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
	98.3%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)) (/.f32 alpha (/.f32 #s(literal 1 binary32) (.f32 alpha (*.f32 alpha alpha))))) (log1p.f32 (neg.f32 u0)))
	91.9%	(.f32 (.f32 (*.f32 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) alpha)
	92.1%	(.f32 (.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
▶	98.9%	(.f32 (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) alpha)
	94.1%	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
	87.6%	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
✓	99.1%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
✓	53.7%	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
	92.1%	(.f32 (.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) alpha)) alpha)
▶	91.7%	(.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0))))))
	98.6%	(.f32 (.f32 alpha (*.f32 alpha alpha)) (/.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
✓	75.6%	(.f32 (.f32 alpha u0) alpha)
	87.7%	(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
	92.1%	(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u0))
	94.1%	(.f32 u0 (fma.f32 u0 (.f32 (.f32 (.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
	94.2%	(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 (.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))
	87.8%	(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 alpha alpha)))
	92.4%	(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
	88.0%	(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
	75.5%	(.f32 u0 (/.f32 #s(literal 1 binary32) (/.f32 alpha (.f32 alpha (*.f32 alpha alpha)))))
	92.1%	(.f32 u0 (.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 alpha alpha)))
	91.9%	(.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 alpha alpha) (*.f32 u0 u0))))))
	87.7%	(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
▶	92.3%	(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))
	87.9%	(.f32 u0 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))
▶	91.9%	(.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))))
▶	87.6%	(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
✓	75.6%	(.f32 u0 (.f32 alpha alpha))
	92.1%	(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))

Compiler

Compiled 1 114 to 693 computations (37.8% saved)

simplify214.0ms (2%)

Memory

-1.9MiB live, 309.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 u0 u0)
✓	cost-diff	0	(.f32 u0 (.f32 u0 u0))
✓	cost-diff	96	(*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)))
✓	cost-diff	832	(.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0))))))
✓	cost-diff	0	(.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 alpha (.f32 alpha (fma.f32 (*.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
✓	cost-diff	0	(.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))))
✓	cost-diff	160	(fma.f32 (*.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
✓	cost-diff	0	(*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
✓	cost-diff	0	(fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)
✓	cost-diff	0	(.f32 alpha (fma.f32 (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha))
✓	cost-diff	0	(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))
✓	cost-diff	0	(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))
✓	cost-diff	0	(*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
✓	cost-diff	0	(.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
✓	cost-diff	0	(log1p.f32 (neg.f32 u0))
✓	cost-diff	0	(neg.f32 alpha)
✓	cost-diff	0	(*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0)))
✓	cost-diff	0	(.f32 (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) alpha)

Rules

7 318×	`lower-fma.f64`
7 308×	`lower-fma.f32`
3 668×	`lower-*.f64`
3 640×	`lower-*.f32`
1 352×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	241
0	65	225
1	157	225
2	463	223
3	1510	223
4	2967	223
5	4218	223
6	5384	223
7	6456	223
8	7986	223
0	8015	221

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) alpha)
(*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0)))
(neg.f32 alpha)
alpha
(log1p.f32 (neg.f32 u0))
(neg.f32 u0)
u0
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
u0
(.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
alpha
(*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))
u0
(.f32 alpha (fma.f32 (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha))
alpha
(fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)
(*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))))
u0
(.f32 alpha (.f32 alpha (fma.f32 (*.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
alpha
(.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(fma.f32 (*.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(*.f32 u0 u0)
#s(literal 1/3 binary32)
(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0))))))
(.f32 u0 (.f32 u0 u0))
u0
(*.f32 u0 u0)
(.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)))))
alpha
(fma.f32 alpha #s(literal 1/3 binary32) (*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0))))
#s(literal 1/3 binary32)
(*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)))
(/.f32 alpha u0)
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)

Outputs
(.f32 (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) alpha)
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))
(*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0)))
(neg.f32 alpha)
alpha
(log1p.f32 (neg.f32 u0))
(neg.f32 u0)
u0
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 u0 (*.f32 alpha #s(literal 1/2 binary32)) alpha)))
u0
(.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(.f32 alpha (fma.f32 u0 (.f32 alpha #s(literal 1/2 binary32)) alpha))
alpha
(*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(fma.f32 u0 (*.f32 alpha #s(literal 1/2 binary32)) alpha)
(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
u0
(.f32 alpha (fma.f32 (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha))
(.f32 alpha (fma.f32 alpha (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))
alpha
(fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)
(fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)
(*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
u0
(.f32 alpha (.f32 alpha (fma.f32 (*.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 alpha (fma.f32 alpha (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha))
alpha
(.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)
(fma.f32 (*.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 u0 u0)
#s(literal 1/3 binary32)
(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0))))))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(.f32 u0 (.f32 u0 u0))
u0
(*.f32 u0 u0)
(.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)))))
(.f32 (.f32 alpha alpha) (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0)))
alpha
(fma.f32 alpha #s(literal 1/3 binary32) (*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0))))
(fma.f32 alpha #s(literal 1/3 binary32) (/.f32 (fma.f32 u0 (.f32 alpha #s(literal 1/2 binary32)) alpha) (.f32 u0 u0)))
#s(literal 1/3 binary32)
(*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)))
(/.f32 (fma.f32 u0 (.f32 alpha #s(literal 1/2 binary32)) alpha) (.f32 u0 u0))
(/.f32 alpha u0)
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)

localize121.0ms (1.1%)

Memory

-2.0MiB live, 192.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(.f32 u0 (.f32 u0 u0))
✓	accuracy	99.2%	(.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)))))
✓	accuracy	99.0%	(*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)))
✓	accuracy	99.0%	(.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0))))))
✓	accuracy	99.7%	(fma.f32 (*.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
✓	accuracy	99.5%	(.f32 alpha (.f32 alpha (fma.f32 (*.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
✓	accuracy	99.4%	(.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))))
✓	accuracy	99.2%	(.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
✓	accuracy	100.0%	(fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)
✓	accuracy	99.5%	(.f32 alpha (fma.f32 (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha))
✓	accuracy	99.4%	(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))
✓	accuracy	99.2%	(*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
✓	accuracy	100.0%	(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))
✓	accuracy	99.5%	(.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
✓	accuracy	99.3%	(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
✓	accuracy	99.1%	(*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
✓	accuracy	100.0%	(neg.f32 alpha)
✓	accuracy	100.0%	(log1p.f32 (neg.f32 u0))
✓	accuracy	99.4%	(*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0)))
✓	accuracy	99.0%	(.f32 (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) alpha)

Samples

65.0ms

256×

valid

Compiler

Compiled 273 to 39 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 31.0ms (62.6% of total)

ival-add: 7.0ms (14.1% of total)

const: 4.0ms (8.1% of total)

ival-div: 3.0ms (6.1% of total)

ival-log1p: 2.0ms (4% of total)

ival-neg: 2.0ms (4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series303.0ms (2.8%)

Memory

-105.4MiB live, 88.7MiB allocated

Counts

21 → 420

Calls

Call 1

Inputs
#<alt (.f32 (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) alpha)>
#<alt (*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0)))>
#<alt (neg.f32 alpha)>
#<alt (log1p.f32 (neg.f32 u0))>
#<alt (.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))>
#<alt (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))>
#<alt (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))>
#<alt (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))>
#<alt (.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))>
#<alt (.f32 alpha (fma.f32 (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha))>
#<alt (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)>
#<alt (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))>
#<alt (fma.f32 (*.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))>
#<alt (.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))))>
#<alt (.f32 alpha (.f32 alpha (fma.f32 (*.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))>
#<alt (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))>
#<alt (.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0))))))>
#<alt (*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)))>
#<alt (.f32 u0 (.f32 u0 u0))>
#<alt (*.f32 u0 u0)>
#<alt (.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)))))>

Outputs
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* -1 (* (pow alpha 2) (log (- 1 u0))))>
#<alt (* (pow alpha 2) u0)>
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))>
#<alt (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))>
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))>
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))>
#<alt (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))>
#<alt (* (pow alpha 2) (log (/ -1 u0)))>
#<alt (+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))>
#<alt (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))>
#<alt (* -1 (* alpha (log (- 1 u0))))>
#<alt (* -1 (* alpha (log (- 1 u0))))>
#<alt (* -1 (* alpha (log (- 1 u0))))>
#<alt (* -1 (* alpha (log (- 1 u0))))>
#<alt (* -1 (* alpha (log (- 1 u0))))>
#<alt (* -1 (* alpha (log (- 1 u0))))>
#<alt (* -1 (* alpha (log (- 1 u0))))>
#<alt (* -1 (* alpha (log (- 1 u0))))>
#<alt (* -1 (* alpha (log (- 1 u0))))>
#<alt (* -1 (* alpha (log (- 1 u0))))>
#<alt (* -1 (* alpha (log (- 1 u0))))>
#<alt (* -1 (* alpha (log (- 1 u0))))>
#<alt (* alpha u0)>
#<alt (* u0 (+ alpha (* 1/2 (* alpha u0))))>
#<alt (* u0 (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha)))))>
#<alt (* u0 (+ alpha (* u0 (+ (* 1/2 alpha) (* u0 (+ (* 1/4 (* alpha u0)) (* 1/3 alpha)))))))>
#<alt (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0))))))>
#<alt (+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ alpha u0))>
#<alt (+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ alpha (pow u0 2))) (/ alpha u0)))>
#<alt (+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ alpha (pow u0 3))) (+ (* 1/2 (/ alpha (pow u0 2))) (/ alpha u0))))>
#<alt (* alpha (log (/ -1 u0)))>
#<alt (+ (* alpha (log (/ -1 u0))) (/ alpha u0))>
#<alt (+ (* -1 (/ (+ (* -1 alpha) (* -1/2 (/ alpha u0))) u0)) (* alpha (log (/ -1 u0))))>
#<alt (+ (* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* 1/3 (/ alpha u0)) (* 1/2 alpha)) u0))) u0)) (* alpha (log (/ -1 u0))))>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 alpha)>
#<alt (* -1 u0)>
#<alt (* u0 (- (* -1/2 u0) 1))>
#<alt (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))>
#<alt (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u0))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))>
#<alt (* -1 (log (/ -1 u0)))>
#<alt (- (* -1 (log (/ -1 u0))) (/ 1 u0))>
#<alt (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))>
#<alt (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))>
#<alt (* (pow alpha 2) u0)>
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))>
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))>
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))>
#<alt (* 1/2 (* (pow alpha 2) (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))>
#<alt (* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))>
#<alt (* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))>
#<alt (* 1/2 (* (pow alpha 2) (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))>
#<alt (* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))>
#<alt (* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))>
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))>
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))>
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))>
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))>
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))>
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))>
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))>
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))>
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))>
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))>
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))>
#<alt (* (pow alpha 2) (+ 1 (* 1/2 u0)))>
#<alt (pow alpha 2)>
#<alt (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))>
#<alt (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))>
#<alt (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))>
#<alt (* 1/2 (* (pow alpha 2) u0))>
#<alt (* u0 (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))>
#<alt (* u0 (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))>
#<alt (* u0 (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))>
#<alt (* 1/2 (* (pow alpha 2) u0))>
#<alt (* -1 (* u0 (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2)))))>
#<alt (* -1 (* u0 (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2)))))>
#<alt (* -1 (* u0 (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2)))))>
#<alt (* alpha (+ 1 (* 1/2 u0)))>
#<alt (* alpha (+ 1 (* 1/2 u0)))>
#<alt (* alpha (+ 1 (* 1/2 u0)))>
#<alt (* alpha (+ 1 (* 1/2 u0)))>
#<alt (* alpha (+ 1 (* 1/2 u0)))>
#<alt (* alpha (+ 1 (* 1/2 u0)))>
#<alt (* alpha (+ 1 (* 1/2 u0)))>
#<alt (* alpha (+ 1 (* 1/2 u0)))>
#<alt (* alpha (+ 1 (* 1/2 u0)))>
#<alt (* alpha (+ 1 (* 1/2 u0)))>
#<alt (* alpha (+ 1 (* 1/2 u0)))>
#<alt (* alpha (+ 1 (* 1/2 u0)))>
#<alt alpha>
#<alt (+ alpha (* 1/2 (* alpha u0)))>
#<alt (+ alpha (* 1/2 (* alpha u0)))>
#<alt (+ alpha (* 1/2 (* alpha u0)))>
#<alt (* 1/2 (* alpha u0))>
#<alt (* u0 (+ (* 1/2 alpha) (/ alpha u0)))>
#<alt (* u0 (+ (* 1/2 alpha) (/ alpha u0)))>
#<alt (* u0 (+ (* 1/2 alpha) (/ alpha u0)))>
#<alt (* 1/2 (* alpha u0))>
#<alt (* -1 (* u0 (+ (* -1 (/ alpha u0)) (* -1/2 alpha))))>
#<alt (* -1 (* u0 (+ (* -1 (/ alpha u0)) (* -1/2 alpha))))>
#<alt (* -1 (* u0 (+ (* -1 (/ alpha u0)) (* -1/2 alpha))))>
#<alt 1>
#<alt (+ 1 (* 1/2 u0))>
#<alt (+ 1 (* 1/2 u0))>
#<alt (+ 1 (* 1/2 u0))>
#<alt (* 1/2 u0)>
#<alt (* u0 (+ 1/2 (/ 1 u0)))>
#<alt (* u0 (+ 1/2 (/ 1 u0)))>
#<alt (* u0 (+ 1/2 (/ 1 u0)))>
#<alt (* 1/2 u0)>
#<alt (* u0 (+ 1/2 (/ 1 u0)))>
#<alt (* u0 (+ 1/2 (/ 1 u0)))>
#<alt (* u0 (+ 1/2 (/ 1 u0)))>
#<alt (* (pow alpha 2) u0)>
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))>
#<alt (* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* -1 (* (pow alpha 2) (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))>
#<alt (* -1 (* (pow alpha 2) (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))>
#<alt (* -1 (* (pow alpha 2) (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))>
#<alt (* -1 (* (pow alpha 2) (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))>
#<alt (pow alpha 2)>
#<alt (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))>
#<alt (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))>
#<alt (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))>
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))>
#<alt alpha>
#<alt (+ alpha (* 1/2 (* alpha u0)))>
#<alt (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))>
#<alt (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))>
#<alt (* 1/3 (* alpha (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))>
#<alt (* (pow u0 2) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2)))))>
#<alt (* (pow u0 2) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2)))))>
#<alt (* 1/3 (* alpha (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))>
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0)) (* 1/3 alpha)))>
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0)) (* 1/3 alpha)))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))>
#<alt (* -1 (* alpha (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))>
#<alt (* -1 (* alpha (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))>
#<alt (* -1 (* alpha (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))>
#<alt (* -1 (* alpha (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))>
#<alt (* 1/2 u0)>
#<alt (* u0 (+ 1/2 (* 1/3 u0)))>
#<alt (* u0 (+ 1/2 (* 1/3 u0)))>
#<alt (* u0 (+ 1/2 (* 1/3 u0)))>
#<alt (* 1/3 (pow u0 2))>
#<alt (* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))>
#<alt (* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))>
#<alt (* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))>
#<alt (* 1/3 (pow u0 2))>
#<alt (* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))>
#<alt (* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))>
#<alt (* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))>
#<alt 1>
#<alt (+ 1 (* 1/2 u0))>
#<alt (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))>
#<alt (* 1/3 (pow u0 2))>
#<alt (* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))>
#<alt (* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* 1/3 (pow u0 2))>
#<alt (* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))>
#<alt (* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* (pow alpha 2) u0)>
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))>
#<alt (* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0)))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0)))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0)))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0)))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0)))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0)))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0)))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0)))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0)))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0)))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0)))))>
#<alt (* (pow alpha 2) (* u0 (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (pow alpha 2)>
#<alt (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))>
#<alt (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))>
#<alt (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))>
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))>
#<alt (* alpha (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* alpha (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* alpha (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* alpha (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* alpha (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* alpha (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* alpha (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* alpha (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* alpha (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* alpha (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* alpha (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt (* alpha (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))>
#<alt alpha>
#<alt (+ alpha (* 1/2 (* alpha u0)))>
#<alt (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))>
#<alt (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))>
#<alt (* 1/3 (* alpha (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))>
#<alt (* (pow u0 2) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2)))))>
#<alt (* (pow u0 2) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2)))))>
#<alt (* 1/3 (* alpha (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))>
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0)) (* 1/3 alpha)))>
#<alt (* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0)) (* 1/3 alpha)))>
#<alt (* (pow alpha 2) u0)>
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))>
#<alt (* 1/3 (* (pow alpha 2) (pow u0 3)))>
#<alt (* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))>
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))>
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))>
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))>
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))>
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))>
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))>
#<alt (* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))))>
#<alt (/ (* alpha (+ 1/2 (/ 1 u0))) u0)>
#<alt (/ (* alpha (+ 1/2 (/ 1 u0))) u0)>
#<alt (/ (* alpha (+ 1/2 (/ 1 u0))) u0)>
#<alt (/ (* alpha (+ 1/2 (/ 1 u0))) u0)>
#<alt (/ (* alpha (+ 1/2 (/ 1 u0))) u0)>
#<alt (/ (* alpha (+ 1/2 (/ 1 u0))) u0)>
#<alt (/ (* alpha (+ 1/2 (/ 1 u0))) u0)>
#<alt (/ (* alpha (+ 1/2 (/ 1 u0))) u0)>
#<alt (/ (* alpha (+ 1/2 (/ 1 u0))) u0)>
#<alt (/ (* alpha (+ 1/2 (/ 1 u0))) u0)>
#<alt (/ (* alpha (+ 1/2 (/ 1 u0))) u0)>
#<alt (/ (* alpha (+ 1/2 (/ 1 u0))) u0)>
#<alt (/ alpha (pow u0 2))>
#<alt (/ (+ alpha (* 1/2 (* alpha u0))) (pow u0 2))>
#<alt (/ (+ alpha (* 1/2 (* alpha u0))) (pow u0 2))>
#<alt (/ (+ alpha (* 1/2 (* alpha u0))) (pow u0 2))>
#<alt (* 1/2 (/ alpha u0))>
#<alt (/ (+ (* 1/2 alpha) (/ alpha u0)) u0)>
#<alt (/ (+ (* 1/2 alpha) (/ alpha u0)) u0)>
#<alt (/ (+ (* 1/2 alpha) (/ alpha u0)) u0)>
#<alt (* 1/2 (/ alpha u0))>
#<alt (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0))>
#<alt (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0))>
#<alt (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0))>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))>
#<alt (* -1 (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)))>
#<alt (* -1 (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)))>
#<alt (* -1 (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)))>
#<alt (* -1 (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)))>
#<alt (/ (pow alpha 2) (pow u0 2))>
#<alt (/ (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) (pow u0 2))>
#<alt (/ (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) (pow u0 2))>
#<alt (/ (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) (pow u0 2))>
#<alt (* 1/3 (pow alpha 2))>
#<alt (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))>
#<alt (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))>
#<alt (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))>
#<alt (* 1/3 (pow alpha 2))>
#<alt (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2)))>

Calls

105 calls:

Time	Variable		Point	Expression
258.0ms	alpha	@	-inf	(* u0 (* alpha (+ (* (* u0 (+ (* u0 1/3) 1/2)) alpha) alpha)))
8.0ms	alpha	@	0	(* (neg alpha) (log (+ 1 (neg u0))))
3.0ms	alpha	@	0	(* (* u0 (* u0 u0)) (* alpha (+ (* alpha 1/3) (* (/ alpha u0) (+ 1/2 (/ 1 u0))))))
2.0ms	alpha	@	inf	(* (* u0 (* u0 u0)) (* alpha (+ (* alpha 1/3) (* (/ alpha u0) (+ 1/2 (/ 1 u0))))))
1.0ms	alpha	@	-inf	(* (* u0 (* u0 u0)) (* alpha (+ (* alpha 1/3) (* (/ alpha u0) (+ 1/2 (/ 1 u0))))))

rewrite606.0ms (5.7%)

Memory

32.7MiB live, 592.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 994×	`lower-fma.f64`
4 984×	`lower-fma.f32`
4 310×	`lower-/.f64`
4 306×	`lower-/.f32`
3 902×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	185
0	65	174
1	249	174
2	1960	174
0	8333	170

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

21 → 992

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) alpha)
(*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0)))
(neg.f32 alpha)
(log1p.f32 (neg.f32 u0))
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))
(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))
(.f32 alpha (fma.f32 (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha))
(fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)
(*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))))
(.f32 alpha (.f32 alpha (fma.f32 (*.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0))))))
(*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)))
(.f32 u0 (.f32 u0 u0))
(*.f32 u0 u0)
(.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)))))

Outputs
(neg.f32 (.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0)))))
(neg.f32 (.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) alpha))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 (neg.f32 alpha) alpha))
(.f32 (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) alpha)
(.f32 #s(literal -1 binary32) (.f32 alpha (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (neg.f32 alpha))
(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
(neg.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))))
(-.f32 #s(literal 0 binary32) (*.f32 alpha (log1p.f32 (neg.f32 u0))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 alpha (log1p.f32 (neg.f32 u0))) (.f32 #s(literal 0 binary32) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))))
(*.f32 alpha (neg.f32 (log1p.f32 (neg.f32 u0))))
(*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0)))
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha))
(.f32 #s(literal -1 binary32) (.f32 alpha (log1p.f32 (neg.f32 u0))))
(.f32 (.f32 (log1p.f32 (neg.f32 u0)) #s(literal -1 binary32)) alpha)
(neg.f32 alpha)
(+.f32 #s(literal 0 binary32) (neg.f32 alpha))
(-.f32 #s(literal 0 binary32) alpha)
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (.f32 #s(literal 0 binary32) alpha)))) (/.f32 (.f32 alpha (.f32 alpha alpha)) (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (.f32 #s(literal 0 binary32) alpha)))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) alpha)) (/.f32 (*.f32 alpha alpha) (+.f32 #s(literal 0 binary32) alpha)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (.f32 #s(literal 0 binary32) alpha))) (-.f32 #s(literal 0 binary32) (.f32 alpha (*.f32 alpha alpha)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) alpha) (-.f32 #s(literal 0 binary32) (*.f32 alpha alpha))))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 alpha (.f32 alpha alpha))) (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 alpha alpha)) (+.f32 #s(literal 0 binary32) alpha))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (.f32 alpha (.f32 alpha alpha)))) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha)))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 alpha alpha))) (neg.f32 (+.f32 #s(literal 0 binary32) alpha)))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 alpha) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 alpha) (neg.f32 alpha)) (.f32 #s(literal 0 binary32) (neg.f32 alpha)))))
(*.f32 alpha #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) alpha)
(log1p.f32 (neg.f32 u0))
(neg.f32 (neg.f32 (log1p.f32 (neg.f32 u0))))
(+.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u0) (-.f32 (neg.f32 u0) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (neg.f32 u0))))
(-.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) (log1p.f32 (-.f32 (*.f32 u0 u0) (neg.f32 u0))))
(-.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) (log.f32 (fma.f32 u0 u0 (+.f32 #s(literal 1 binary32) u0))))
(-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (.f32 u0 (.f32 u0 u0)))) (log1p.f32 (fma.f32 u0 u0 (*.f32 #s(literal 1 binary32) u0))))
(-.f32 (log.f32 (neg.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (neg.f32 u0) (-.f32 (neg.f32 u0) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 u0)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u0))))
(-.f32 (log.f32 (-.f32 (*.f32 u0 u0) #s(literal 1 binary32))) (log.f32 (-.f32 (neg.f32 u0) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (-.f32 (.f32 u0 u0) (neg.f32 u0))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) (log1p.f32 (.f32 u0 (.f32 u0 u0))) (fma.f32 (log1p.f32 (-.f32 (.f32 u0 u0) (neg.f32 u0))) (log1p.f32 (-.f32 (.f32 u0 u0) (neg.f32 u0))) (.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) (log1p.f32 (-.f32 (*.f32 u0 u0) (neg.f32 u0)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (.f32 u0 (neg.f32 u0))) (log1p.f32 (.f32 u0 (neg.f32 u0))) (fma.f32 (log1p.f32 u0) (log1p.f32 u0) (.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))))
(log.f32 (-.f32 #s(literal 1 binary32) u0))
(+.f32 (.f32 (.f32 alpha u0) (.f32 alpha (.f32 u0 #s(literal 1/2 binary32)))) (.f32 (.f32 alpha u0) alpha))
(+.f32 (.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha u0)) (.f32 alpha (.f32 alpha u0)))
(fma.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha u0) (.f32 alpha (*.f32 alpha u0)))
(fma.f32 (.f32 alpha u0) (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (.f32 (*.f32 alpha u0) alpha))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 alpha u0) (.f32 alpha (.f32 u0 #s(literal 1/2 binary32)))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 alpha u0) alpha) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 alpha u0) (.f32 alpha (.f32 u0 #s(literal 1/2 binary32)))) (.f32 (.f32 alpha u0) (.f32 alpha (.f32 u0 #s(literal 1/2 binary32)))) (-.f32 (.f32 (.f32 (.f32 alpha u0) alpha) (.f32 (.f32 alpha u0) alpha)) (.f32 (.f32 (.f32 alpha u0) (.f32 alpha (.f32 u0 #s(literal 1/2 binary32)))) (.f32 (.f32 alpha u0) alpha)))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha u0)) #s(literal 3 binary32)) (pow.f32 (.f32 alpha (.f32 alpha u0)) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha u0)) (.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha u0)) (-.f32 (.f32 (.f32 alpha (.f32 alpha u0)) (.f32 alpha (.f32 alpha u0))) (.f32 (.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha u0)) (.f32 alpha (.f32 alpha u0))))))
(.f32 alpha (.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0))
(.f32 u0 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))
(.f32 (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0)
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(.f32 (.f32 alpha u0) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))
(.f32 (.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) alpha)
(+.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 u0 #s(literal 1/2 binary32))))
(+.f32 (.f32 alpha alpha) (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha)))
(+.f32 (.f32 alpha (.f32 alpha (.f32 u0 #s(literal 1/2 binary32)))) (.f32 alpha alpha))
(+.f32 (.f32 (.f32 alpha alpha) (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha alpha))
(+.f32 (.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) alpha) (.f32 alpha alpha))
(+.f32 (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha)) (.f32 alpha alpha))
(fma.f32 alpha alpha (.f32 (.f32 alpha alpha) (*.f32 u0 #s(literal 1/2 binary32))))
(fma.f32 alpha alpha (.f32 (.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
(fma.f32 alpha (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (*.f32 alpha alpha))
(fma.f32 #s(literal 1 binary32) (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (.f32 u0 #s(literal 1/2 binary32))))
(fma.f32 #s(literal 1 binary32) (.f32 alpha alpha) (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha)))
(fma.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha) (*.f32 alpha alpha))
(fma.f32 (.f32 alpha alpha) #s(literal 1 binary32) (.f32 (.f32 alpha alpha) (.f32 u0 #s(literal 1/2 binary32))))
(fma.f32 (.f32 alpha alpha) #s(literal 1 binary32) (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha)))
(fma.f32 (.f32 alpha alpha) (.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha alpha))
(fma.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) alpha (*.f32 alpha alpha))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/4 binary32) #s(literal 1 binary32)) (.f32 u0 #s(literal 1/2 binary32))) (.f32 (.f32 alpha alpha) (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/8 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32)) (.f32 (.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #s(literal -1 binary32)))))
(/.f32 (.f32 (.f32 alpha alpha) (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/8 binary32) #s(literal 1 binary32))) (-.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/4 binary32) #s(literal 1 binary32)) (.f32 u0 #s(literal 1/2 binary32))))
(/.f32 (.f32 (.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #s(literal -1 binary32))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32)))
(/.f32 (neg.f32 (.f32 (.f32 alpha alpha) (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/8 binary32) #s(literal 1 binary32)))) (neg.f32 (-.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/4 binary32) #s(literal 1 binary32)) (.f32 u0 #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (.f32 (.f32 alpha alpha) (fma.f32 (*.f32 u0 u0) #s(literal 1/4 binary32) #s(literal -1 binary32)))) (neg.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32))))
(/.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) (pow.f32 (.f32 (.f32 alpha alpha) (.f32 u0 #s(literal 1/2 binary32))) #s(literal 3 binary32))) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (-.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 u0 #s(literal 1/2 binary32))) (.f32 (.f32 alpha alpha) (.f32 u0 #s(literal 1/2 binary32)))) (.f32 (.f32 alpha alpha) (.f32 (.f32 alpha alpha) (*.f32 u0 #s(literal 1/2 binary32)))))))
(/.f32 (+.f32 (pow.f32 (.f32 alpha (.f32 alpha (.f32 u0 #s(literal 1/2 binary32)))) #s(literal 3 binary32)) (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)))) (fma.f32 (.f32 alpha (.f32 alpha (.f32 u0 #s(literal 1/2 binary32)))) (.f32 alpha (.f32 alpha (.f32 u0 #s(literal 1/2 binary32)))) (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 (.f32 alpha (.f32 alpha (.f32 u0 #s(literal 1/2 binary32)))) (.f32 alpha alpha)))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 alpha alpha) (.f32 u0 #s(literal 1/2 binary32))) #s(literal 3 binary32)) (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)))) (fma.f32 (.f32 (.f32 alpha alpha) (.f32 u0 #s(literal 1/2 binary32))) (.f32 (.f32 alpha alpha) (.f32 u0 #s(literal 1/2 binary32))) (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 (.f32 (.f32 alpha alpha) (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha alpha)))))
(/.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)) (pow.f32 (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha)) #s(literal 3 binary32))) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (-.f32 (.f32 (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha)) (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha))) (.f32 (.f32 alpha alpha) (.f32 (.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha alpha))))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) alpha) #s(literal 3 binary32)) (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)))) (fma.f32 (.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) alpha) (.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) alpha) (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 (.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) alpha) (.f32 alpha alpha)))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha)) #s(literal 3 binary32)) (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (.f32 alpha alpha)))) (fma.f32 (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha)) (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha)) (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha)) (.f32 alpha alpha)))))
(.f32 alpha (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha))
(.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (.f32 alpha alpha))
(.f32 (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) alpha)
(.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(+.f32 alpha (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))))
(+.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) alpha)
(fma.f32 alpha #s(literal 1 binary32) (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))))
(fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)
(fma.f32 u0 (*.f32 #s(literal 1/2 binary32) alpha) alpha)
(fma.f32 #s(literal 1/2 binary32) (*.f32 alpha u0) alpha)
(fma.f32 #s(literal 1 binary32) alpha (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))))
(fma.f32 (*.f32 u0 #s(literal 1/2 binary32)) alpha alpha)
(fma.f32 (*.f32 alpha u0) #s(literal 1/2 binary32) alpha)
(fma.f32 (*.f32 alpha #s(literal 1/2 binary32)) u0 alpha)
(-.f32 (/.f32 (.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha (.f32 u0 #s(literal 1/2 binary32)))) (-.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) alpha)) (/.f32 (.f32 alpha alpha) (-.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) alpha)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (-.f32 (.f32 alpha alpha) (.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) alpha))) (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/8 binary32)) (.f32 alpha (*.f32 alpha alpha)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) alpha) (-.f32 (.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha (.f32 u0 #s(literal 1/2 binary32)))) (.f32 alpha alpha))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/4 binary32) #s(literal 1 binary32)) (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha (fma.f32 (.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32)) (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/4 binary32) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/4 binary32) #s(literal 1 binary32)) (.f32 u0 #s(literal 1/2 binary32))) (.f32 (fma.f32 (.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32) #s(literal 1 binary32)) alpha)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/4 binary32) #s(literal -1 binary32)) alpha)))
(/.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/8 binary32)) (.f32 alpha (.f32 alpha alpha))) (fma.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (-.f32 (.f32 alpha alpha) (.f32 (.f32 alpha (*.f32 u0 #s(literal 1/2 binary32))) alpha))))
(/.f32 (-.f32 (.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha (.f32 u0 #s(literal 1/2 binary32)))) (.f32 alpha alpha)) (-.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) alpha))
(/.f32 (.f32 alpha (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/8 binary32) #s(literal 1 binary32))) (-.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/4 binary32) #s(literal 1 binary32)) (*.f32 u0 #s(literal 1/2 binary32))))
(/.f32 (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/4 binary32) #s(literal -1 binary32))) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/8 binary32) #s(literal 1 binary32)) alpha) (-.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/4 binary32) #s(literal 1 binary32)) (*.f32 u0 #s(literal 1/2 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/4 binary32) #s(literal -1 binary32)) alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/8 binary32)) (.f32 alpha (.f32 alpha alpha)))) (neg.f32 (fma.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (-.f32 (.f32 alpha alpha) (.f32 (.f32 alpha (*.f32 u0 #s(literal 1/2 binary32))) alpha)))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) (.f32 alpha (.f32 u0 #s(literal 1/2 binary32)))) (.f32 alpha alpha))) (neg.f32 (-.f32 (.f32 alpha (.f32 u0 #s(literal 1/2 binary32))) alpha)))
(/.f32 (neg.f32 (.f32 alpha (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/8 binary32) #s(literal 1 binary32)))) (neg.f32 (-.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/4 binary32) #s(literal 1 binary32)) (*.f32 u0 #s(literal 1/2 binary32)))))
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(/.f32 (neg.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 (.f32 alpha (.f32 alpha alpha)) #s(literal 1/27 binary32)) (.f32 (.f32 alpha (.f32 alpha alpha)) (/.f32 (.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) (.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)))) (.f32 u0 (.f32 u0 u0)))))) (neg.f32 (fma.f32 (.f32 alpha (.f32 alpha #s(literal 1/3 binary32))) (.f32 alpha (.f32 alpha #s(literal 1/3 binary32))) (-.f32 (.f32 (.f32 (/.f32 alpha u0) (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) (.f32 (/.f32 alpha u0) (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)))) (.f32 (.f32 alpha (.f32 alpha #s(literal 1/3 binary32))) (*.f32 (/.f32 alpha u0) (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 alpha (.f32 alpha #s(literal 1/3 binary32))) (.f32 alpha (.f32 alpha #s(literal 1/3 binary32)))) (.f32 (.f32 (/.f32 alpha u0) (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) (.f32 (/.f32 alpha u0) (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)))))) (neg.f32 (-.f32 (.f32 alpha (.f32 alpha #s(literal 1/3 binary32))) (*.f32 (/.f32 alpha u0) (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))))))
(/.f32 (neg.f32 (.f32 alpha (fma.f32 (.f32 alpha (.f32 alpha alpha)) #s(literal 1/27 binary32) (/.f32 (.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) (.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)))) (.f32 u0 (.f32 u0 u0)))))) (neg.f32 (fma.f32 (/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0) (-.f32 (/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0) (.f32 alpha #s(literal 1/3 binary32))) (.f32 (.f32 alpha alpha) #s(literal 1/9 binary32)))))
(/.f32 (neg.f32 (.f32 alpha (-.f32 (.f32 (.f32 alpha alpha) #s(literal 1/9 binary32)) (/.f32 (.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) (.f32 u0 u0))))) (neg.f32 (-.f32 (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 alpha (.f32 alpha alpha)) #s(literal 1/27 binary32) (/.f32 (.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) (.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)))) (.f32 u0 (.f32 u0 u0)))) alpha)) (neg.f32 (fma.f32 (/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0) (-.f32 (/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0) (.f32 alpha #s(literal 1/3 binary32))) (.f32 (.f32 alpha alpha) #s(literal 1/9 binary32)))))
(/.f32 (neg.f32 (.f32 (-.f32 (.f32 (.f32 alpha alpha) #s(literal 1/9 binary32)) (/.f32 (.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) (.f32 u0 u0))) alpha)) (neg.f32 (-.f32 (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0))))
(/.f32 (fma.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 u0 (.f32 u0 u0))) (.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) (.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)))) (.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 (.f32 alpha (.f32 alpha alpha)) #s(literal 1/27 binary32)))) (fma.f32 (.f32 (/.f32 alpha u0) (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) (.f32 (/.f32 alpha u0) (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) (-.f32 (.f32 (.f32 alpha (.f32 alpha #s(literal 1/3 binary32))) (.f32 alpha (.f32 alpha #s(literal 1/3 binary32)))) (.f32 (.f32 (/.f32 alpha u0) (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) (.f32 alpha (*.f32 alpha #s(literal 1/3 binary32)))))))
(*.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)))
(*.f32 (fma.f32 alpha #s(literal 1/3 binary32) (/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)) alpha)

simplify545.0ms (5.1%)

Memory

-20.3MiB live, 487.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 006×	`lower-fma.f64`
15 006×	`lower-fma.f32`
4 670×	`lower-*.f64`
4 670×	`lower-*.f32`
2 930×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	4919
1	872	4453
2	2698	4305
3	6295	4225
0	8380	3801

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 417

Calls

Call 1

Inputs
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(* (pow alpha 2) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))
(* (pow alpha 2) (log (/ -1 u0)))
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))
(+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))
(* -1 (* alpha (log (- 1 u0))))
(* -1 (* alpha (log (- 1 u0))))
(* -1 (* alpha (log (- 1 u0))))
(* -1 (* alpha (log (- 1 u0))))
(* -1 (* alpha (log (- 1 u0))))
(* -1 (* alpha (log (- 1 u0))))
(* -1 (* alpha (log (- 1 u0))))
(* -1 (* alpha (log (- 1 u0))))
(* -1 (* alpha (log (- 1 u0))))
(* -1 (* alpha (log (- 1 u0))))
(* -1 (* alpha (log (- 1 u0))))
(* -1 (* alpha (log (- 1 u0))))
(* alpha u0)
(* u0 (+ alpha (* 1/2 (* alpha u0))))
(* u0 (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha)))))
(* u0 (+ alpha (* u0 (+ (* 1/2 alpha) (* u0 (+ (* 1/4 (* alpha u0)) (* 1/3 alpha)))))))
(* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0))))))
(+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ alpha u0))
(+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ alpha (pow u0 2))) (/ alpha u0)))
(+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ alpha (pow u0 3))) (+ (* 1/2 (/ alpha (pow u0 2))) (/ alpha u0))))
(* alpha (log (/ -1 u0)))
(+ (* alpha (log (/ -1 u0))) (/ alpha u0))
(+ (* -1 (/ (+ (* -1 alpha) (* -1/2 (/ alpha u0))) u0)) (* alpha (log (/ -1 u0))))
(+ (* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* 1/3 (/ alpha u0)) (* 1/2 alpha)) u0))) u0)) (* alpha (log (/ -1 u0))))
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 u0)
(* u0 (- (* -1/2 u0) 1))
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))
(* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u0))))
(- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))
(+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))
(* -1 (log (/ -1 u0)))
(- (* -1 (log (/ -1 u0))) (/ 1 u0))
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))
(* (pow alpha 2) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(* 1/2 (* (pow alpha 2) (pow u0 2)))
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))
(* 1/2 (* (pow alpha 2) (pow u0 2)))
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))
(* (pow alpha 2) (* u0 (+ 1 (* 1/2 u0))))
(* (pow alpha 2) (+ 1 (* 1/2 u0)))
(* (pow alpha 2) (+ 1 (* 1/2 u0)))
(* (pow alpha 2) (+ 1 (* 1/2 u0)))
(* (pow alpha 2) (+ 1 (* 1/2 u0)))
(* (pow alpha 2) (+ 1 (* 1/2 u0)))
(* (pow alpha 2) (+ 1 (* 1/2 u0)))
(* (pow alpha 2) (+ 1 (* 1/2 u0)))
(* (pow alpha 2) (+ 1 (* 1/2 u0)))
(* (pow alpha 2) (+ 1 (* 1/2 u0)))
(* (pow alpha 2) (+ 1 (* 1/2 u0)))
(* (pow alpha 2) (+ 1 (* 1/2 u0)))
(* (pow alpha 2) (+ 1 (* 1/2 u0)))
(pow alpha 2)
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))
(* 1/2 (* (pow alpha 2) u0))
(* u0 (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))
(* u0 (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))
(* u0 (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)))
(* 1/2 (* (pow alpha 2) u0))
(* -1 (* u0 (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2)))))
(* -1 (* u0 (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2)))))
(* -1 (* u0 (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2)))))
(* alpha (+ 1 (* 1/2 u0)))
(* alpha (+ 1 (* 1/2 u0)))
(* alpha (+ 1 (* 1/2 u0)))
(* alpha (+ 1 (* 1/2 u0)))
(* alpha (+ 1 (* 1/2 u0)))
(* alpha (+ 1 (* 1/2 u0)))
(* alpha (+ 1 (* 1/2 u0)))
(* alpha (+ 1 (* 1/2 u0)))
(* alpha (+ 1 (* 1/2 u0)))
(* alpha (+ 1 (* 1/2 u0)))
(* alpha (+ 1 (* 1/2 u0)))
(* alpha (+ 1 (* 1/2 u0)))
alpha
(+ alpha (* 1/2 (* alpha u0)))
(+ alpha (* 1/2 (* alpha u0)))
(+ alpha (* 1/2 (* alpha u0)))
(* 1/2 (* alpha u0))
(* u0 (+ (* 1/2 alpha) (/ alpha u0)))
(* u0 (+ (* 1/2 alpha) (/ alpha u0)))
(* u0 (+ (* 1/2 alpha) (/ alpha u0)))
(* 1/2 (* alpha u0))
(* -1 (* u0 (+ (* -1 (/ alpha u0)) (* -1/2 alpha))))
(* -1 (* u0 (+ (* -1 (/ alpha u0)) (* -1/2 alpha))))
(* -1 (* u0 (+ (* -1 (/ alpha u0)) (* -1/2 alpha))))
1
(+ 1 (* 1/2 u0))
(+ 1 (* 1/2 u0))
(+ 1 (* 1/2 u0))
(* 1/2 u0)
(* u0 (+ 1/2 (/ 1 u0)))
(* u0 (+ 1/2 (/ 1 u0)))
(* u0 (+ 1/2 (/ 1 u0)))
(* 1/2 u0)
(* u0 (+ 1/2 (/ 1 u0)))
(* u0 (+ 1/2 (/ 1 u0)))
(* u0 (+ 1/2 (/ 1 u0)))
(* (pow alpha 2) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* 1/3 (* (pow alpha 2) (pow u0 3)))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(* 1/3 (* (pow alpha 2) (pow u0 3)))
(* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(* -1 (* (pow alpha 2) (* u0 (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* -1 (* (pow alpha 2) (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))
(* -1 (* (pow alpha 2) (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))
(* -1 (* (pow alpha 2) (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))
(* -1 (* (pow alpha 2) (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))
(pow alpha 2)
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))
(* 1/3 (* (pow alpha 2) (pow u0 2)))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(* 1/3 (* (pow alpha 2) (pow u0 2)))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))
alpha
(+ alpha (* 1/2 (* alpha u0)))
(+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))
(+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))
(* 1/3 (* alpha (pow u0 2)))
(* (pow u0 2) (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))
(* (pow u0 2) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2)))))
(* (pow u0 2) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2)))))
(* 1/3 (* alpha (pow u0 2)))
(* (pow u0 2) (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0)) (* 1/3 alpha)))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0)) (* 1/3 alpha)))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* alpha (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(* -1 (* alpha (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))
(* -1 (* alpha (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))
(* -1 (* alpha (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))
(* -1 (* alpha (- (* -1 (* u0 (+ 1/2 (* 1/3 u0)))) 1)))
(* 1/2 u0)
(* u0 (+ 1/2 (* 1/3 u0)))
(* u0 (+ 1/2 (* 1/3 u0)))
(* u0 (+ 1/2 (* 1/3 u0)))
(* 1/3 (pow u0 2))
(* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))
(* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))
(* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))
(* 1/3 (pow u0 2))
(* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))
(* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))
(* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))
1
(+ 1 (* 1/2 u0))
(+ 1 (* u0 (+ 1/2 (* 1/3 u0))))
(+ 1 (* u0 (+ 1/2 (* 1/3 u0))))
(* 1/3 (pow u0 2))
(* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))
(* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(* 1/3 (pow u0 2))
(* (pow u0 2) (+ 1/3 (* 1/2 (/ 1 u0))))
(* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(* (pow u0 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(* (pow alpha 2) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* 1/3 (* (pow alpha 2) (pow u0 3)))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
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(pow alpha 2)
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))
(* 1/3 (* (pow alpha 2) (pow u0 2)))
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(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(* 1/3 (* (pow alpha 2) (pow u0 2)))
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(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))
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(* alpha (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))
(* alpha (+ 1 (+ (* 1/3 (pow u0 2)) (* 1/2 u0))))
alpha
(+ alpha (* 1/2 (* alpha u0)))
(+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))
(+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha))))
(* 1/3 (* alpha (pow u0 2)))
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(* 1/3 (* alpha (pow u0 2)))
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(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(* 1/3 (* (pow alpha 2) (pow u0 3)))
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(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
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(* 1/3 (* (pow alpha 2) (pow u0 3)))
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Outputs
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(.f32 alpha (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
(* (pow u0 2) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2)))))
(fma.f32 alpha (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 alpha (.f32 u0 u0)) (.f32 u0 u0)))
(* (pow u0 2) (+ (* 1/3 alpha) (+ (* 1/2 (/ alpha u0)) (/ alpha (pow u0 2)))))
(fma.f32 alpha (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 alpha (.f32 u0 u0)) (.f32 u0 u0)))
(* 1/3 (* alpha (pow u0 2)))
(.f32 alpha (.f32 #s(literal 1/3 binary32) (*.f32 u0 u0)))
(* (pow u0 2) (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))))
(.f32 alpha (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0)) (* 1/3 alpha)))
(.f32 u0 (fma.f32 alpha (.f32 u0 #s(literal 1/3 binary32)) (/.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0)))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0)) (* 1/3 alpha)))
(.f32 u0 (fma.f32 alpha (.f32 u0 #s(literal 1/3 binary32)) (/.f32 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha) u0)))
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(.f32 u0 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(* 1/3 (* (pow alpha 2) (pow u0 3)))
(.f32 (.f32 alpha alpha) (.f32 u0 (.f32 #s(literal 1/3 binary32) (*.f32 u0 u0))))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(.f32 u0 (.f32 alpha (.f32 alpha (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(* 1/3 (* (pow alpha 2) (pow u0 3)))
(.f32 (.f32 alpha alpha) (.f32 u0 (.f32 #s(literal 1/3 binary32) (*.f32 u0 u0))))
(* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))
(.f32 u0 (.f32 alpha (.f32 alpha (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))
(.f32 (.f32 alpha alpha) (.f32 (.f32 u0 u0) (*.f32 u0 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0)))))
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))
(.f32 (.f32 alpha alpha) (.f32 (.f32 u0 u0) (*.f32 u0 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0)))))
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(* (pow alpha 2) (* (pow u0 3) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2))))))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(* -1 (* (pow alpha 2) (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))))
(.f32 (.f32 alpha alpha) (.f32 (.f32 u0 u0) (*.f32 u0 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0)))))
(* -1 (* (pow alpha 2) (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))))
(.f32 (.f32 alpha alpha) (.f32 (.f32 u0 u0) (*.f32 u0 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0)))))
(* -1 (* (pow alpha 2) (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))))
(.f32 (.f32 alpha alpha) (.f32 (.f32 u0 u0) (*.f32 u0 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0)))))
(* -1 (* (pow alpha 2) (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))))
(.f32 (.f32 alpha alpha) (.f32 (.f32 u0 u0) (*.f32 u0 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0)))))
(/ (* alpha (+ 1/2 (/ 1 u0))) u0)
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(/ (* alpha (+ 1/2 (/ 1 u0))) u0)
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(/ (* alpha (+ 1/2 (/ 1 u0))) u0)
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(/ (* alpha (+ 1/2 (/ 1 u0))) u0)
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(/ (* alpha (+ 1/2 (/ 1 u0))) u0)
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(/ (* alpha (+ 1/2 (/ 1 u0))) u0)
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(/ (* alpha (+ 1/2 (/ 1 u0))) u0)
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(/ (* alpha (+ 1/2 (/ 1 u0))) u0)
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(/ (* alpha (+ 1/2 (/ 1 u0))) u0)
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(/ (* alpha (+ 1/2 (/ 1 u0))) u0)
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(/ (* alpha (+ 1/2 (/ 1 u0))) u0)
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(/ (* alpha (+ 1/2 (/ 1 u0))) u0)
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(/ alpha (pow u0 2))
(/.f32 alpha (*.f32 u0 u0))
(/ (+ alpha (* 1/2 (* alpha u0))) (pow u0 2))
(/.f32 (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) (.f32 u0 u0))
(/ (+ alpha (* 1/2 (* alpha u0))) (pow u0 2))
(/.f32 (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) (.f32 u0 u0))
(/ (+ alpha (* 1/2 (* alpha u0))) (pow u0 2))
(/.f32 (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) (.f32 u0 u0))
(* 1/2 (/ alpha u0))
(/.f32 (*.f32 alpha #s(literal 1/2 binary32)) u0)
(/ (+ (* 1/2 alpha) (/ alpha u0)) u0)
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(/ (+ (* 1/2 alpha) (/ alpha u0)) u0)
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(/ (+ (* 1/2 alpha) (/ alpha u0)) u0)
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(* 1/2 (/ alpha u0))
(/.f32 (*.f32 alpha #s(literal 1/2 binary32)) u0)
(* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0))
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0))
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0))
(/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)
(pow u0 3)
(.f32 u0 (.f32 u0 u0))
(pow u0 3)
(.f32 u0 (.f32 u0 u0))
(pow u0 3)
(.f32 u0 (.f32 u0 u0))
(pow u0 3)
(.f32 u0 (.f32 u0 u0))
(pow u0 3)
(.f32 u0 (.f32 u0 u0))
(pow u0 3)
(.f32 u0 (.f32 u0 u0))
(pow u0 3)
(.f32 u0 (.f32 u0 u0))
(pow u0 3)
(.f32 u0 (.f32 u0 u0))
(pow u0 3)
(.f32 u0 (.f32 u0 u0))
(pow u0 3)
(.f32 u0 (.f32 u0 u0))
(pow u0 3)
(.f32 u0 (.f32 u0 u0))
(pow u0 3)
(.f32 u0 (.f32 u0 u0))
(pow u0 2)
(*.f32 u0 u0)
(pow u0 2)
(*.f32 u0 u0)
(pow u0 2)
(*.f32 u0 u0)
(pow u0 2)
(*.f32 u0 u0)
(pow u0 2)
(*.f32 u0 u0)
(pow u0 2)
(*.f32 u0 u0)
(pow u0 2)
(*.f32 u0 u0)
(pow u0 2)
(*.f32 u0 u0)
(pow u0 2)
(*.f32 u0 u0)
(pow u0 2)
(*.f32 u0 u0)
(pow u0 2)
(*.f32 u0 u0)
(pow u0 2)
(*.f32 u0 u0)
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(.f32 alpha (fma.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 alpha (.f32 u0 u0))))
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(.f32 alpha (fma.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 alpha (.f32 u0 u0))))
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(.f32 alpha (fma.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 alpha (.f32 u0 u0))))
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(.f32 alpha (fma.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 alpha (.f32 u0 u0))))
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(.f32 alpha (fma.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 alpha (.f32 u0 u0))))
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(.f32 alpha (fma.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 alpha (.f32 u0 u0))))
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(.f32 alpha (fma.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 alpha (.f32 u0 u0))))
(* (pow alpha 2) (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))))
(.f32 alpha (fma.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 alpha (.f32 u0 u0))))
(* -1 (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)))
(.f32 alpha (.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0))))
(* -1 (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)))
(.f32 alpha (.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0))))
(* -1 (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)))
(.f32 alpha (.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0))))
(* -1 (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)))
(.f32 alpha (.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0))))
(/ (pow alpha 2) (pow u0 2))
(/.f32 (.f32 alpha alpha) (.f32 u0 u0))
(/ (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) (pow u0 2))
(/.f32 (.f32 alpha (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha)) (*.f32 u0 u0))
(/ (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) (pow u0 2))
(/.f32 (.f32 alpha (fma.f32 alpha (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) (*.f32 u0 u0))
(/ (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) (pow u0 2))
(/.f32 (.f32 alpha (fma.f32 alpha (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) (*.f32 u0 u0))
(* 1/3 (pow alpha 2))
(.f32 alpha (.f32 alpha #s(literal 1/3 binary32)))
(+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))
(.f32 (.f32 alpha alpha) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)))
(+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))
(.f32 alpha (fma.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 alpha (.f32 u0 u0))))
(+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2))))
(.f32 alpha (fma.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 alpha (.f32 u0 u0))))
(* 1/3 (pow alpha 2))
(.f32 alpha (.f32 alpha #s(literal 1/3 binary32)))
(+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0)))
(.f32 (.f32 alpha alpha) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)))
(+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2)))
(.f32 alpha (.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0))))
(+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2)))
(.f32 alpha (.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0))))

eval241.0ms (2.3%)

Memory: 17.6MiB live, 295.7MiB allocated
Compiler: Compiled 39 035 to 4 025 computations (89.7% saved)

prune358.0ms (3.4%)

Memory

26.4MiB live, 377.6MiB allocated

Pruning

45 alts after pruning (36 fresh and 9 done)

	Pruned	Kept	Total
New	1 458	17	1 475
Fresh	9	19	28
Picked	1	4	5
Done	0	5	5
Total	1 468	45	1 513

Accuracy

100.0%

Counts

1 513 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.9%	(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 u0 (.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))))))
	98.7%	(/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal -1 binary32) alpha))
	98.6%	(/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
	98.8%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))))
	87.7%	(.f32 (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
	92.0%	(.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (neg.f32 alpha)) (.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
	93.8%	(.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
✓	98.7%	(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0)))
	94.1%	(.f32 (.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (neg.f32 alpha))) alpha) (.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
	98.3%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)) (/.f32 alpha (/.f32 #s(literal 1 binary32) (.f32 alpha (*.f32 alpha alpha))))) (log1p.f32 (neg.f32 u0)))
	91.9%	(.f32 (.f32 (*.f32 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) alpha)
	91.9%	(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
	87.6%	(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
	92.1%	(.f32 (.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
	93.8%	(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) alpha)
	91.8%	(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) alpha)
	87.5%	(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) alpha)
✓	98.9%	(.f32 (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) alpha)
	94.1%	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
✓	99.1%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
✓	53.7%	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
	94.1%	(.f32 (.f32 u0 (fma.f32 u0 (fma.f32 u0 (.f32 alpha (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 alpha #s(literal 1/2 binary32))) alpha)) alpha)
	92.1%	(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) alpha)
	87.7%	(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha)
	75.5%	(.f32 (.f32 u0 (.f32 u0 u0)) (/.f32 (.f32 alpha alpha) (*.f32 u0 u0)))
	91.6%	(.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha (*.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0)))))
	87.7%	(.f32 (.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
	87.9%	(.f32 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0)
	98.6%	(.f32 (.f32 alpha (*.f32 alpha alpha)) (/.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
✓	75.6%	(.f32 (.f32 alpha u0) alpha)
	87.7%	(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
	92.1%	(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u0))
	87.6%	(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
	87.8%	(.f32 u0 (fma.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha) (.f32 alpha alpha)))
	94.1%	(.f32 u0 (fma.f32 u0 (.f32 (.f32 (.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
	94.2%	(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 (.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))
	88.0%	(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha))))
	92.4%	(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
	92.1%	(.f32 u0 (.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 alpha alpha)))
	87.7%	(.f32 u0 (.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)))
✓	92.3%	(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))
✓	91.9%	(.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))))
✓	87.6%	(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
✓	75.6%	(.f32 u0 (.f32 alpha alpha))
	92.1%	(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))

Compiler

Compiled 1 883 to 696 computations (63% saved)

regimes220.0ms (2.1%)

Memory

-40.8MiB live, 254.3MiB allocated

Counts

76 → 1

Calls

Call 1

Inputs
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 alpha u0) alpha)
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))
(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(.f32 u0 (.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(.f32 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0)
(.f32 (.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) alpha)
(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha))))
(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 alpha alpha)))
(.f32 u0 (fma.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha) (.f32 alpha alpha)))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))
(.f32 u0 (.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u0))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) alpha)
(.f32 (.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) alpha)
(.f32 (fma.f32 (.f32 alpha u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) alpha)
(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 u0 (.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))))))
(.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
(.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 alpha alpha)))
(.f32 u0 (+.f32 (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha alpha)))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) alpha)
(.f32 (.f32 u0 (.f32 u0 u0)) (/.f32 (.f32 alpha alpha) (*.f32 u0 u0)))
(.f32 u0 (/.f32 #s(literal 1 binary32) (/.f32 alpha (.f32 alpha (*.f32 alpha alpha)))))
(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
(.f32 (.f32 u0 (fma.f32 u0 (fma.f32 u0 (.f32 alpha (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 alpha #s(literal 1/2 binary32))) alpha)) alpha)
(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 (.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))
(.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (neg.f32 alpha)) (.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (/.f32 (.f32 alpha (*.f32 alpha alpha)) alpha)))
(.f32 u0 (fma.f32 u0 (.f32 (.f32 (.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha (*.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0)))))
(.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0))))))
(.f32 (.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (neg.f32 alpha))) alpha) (.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 alpha alpha) (*.f32 u0 u0))))))
(/.f32 (.f32 (.f32 (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (.f32 alpha alpha)) (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (.f32 alpha (neg.f32 alpha)))) u0) (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha (neg.f32 alpha))))
(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
(.f32 (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) alpha)
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (log1p.f32 (neg.f32 u0)))
(/.f32 (log1p.f32 (neg.f32 u0)) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
(/.f32 (*.f32 alpha (log1p.f32 (neg.f32 u0))) (/.f32 #s(literal -1 binary32) alpha))
(.f32 (.f32 alpha (*.f32 alpha alpha)) (/.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)))
(.f32 (/.f32 (.f32 alpha (*.f32 alpha alpha)) (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
(*.f32 (/.f32 alpha (/.f32 #s(literal 1 binary32) (neg.f32 alpha))) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) alpha) (.f32 alpha alpha)) alpha) (log1p.f32 (neg.f32 u0)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha (neg.f32 alpha)))))
(.f32 (.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (*.f32 alpha (neg.f32 alpha))) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 alpha (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (log1p.f32 (neg.f32 u0)))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 alpha alpha)) (/.f32 alpha (/.f32 #s(literal 1 binary32) (.f32 alpha (*.f32 alpha alpha))))) (log1p.f32 (neg.f32 u0)))
(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))))
(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u0) (.f32 (+.f32 #s(literal 1 binary32) u0) (.f32 u0 u0)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
(.f32 (.f32 (neg.f32 alpha) alpha) (+.f32 (log.f32 (/.f32 (fma.f32 u0 (.f32 u0 u0) #s(literal 1 binary32)) (fma.f32 (.f32 (.f32 u0 u0) (fma.f32 u0 u0 #s(literal 1 binary32))) (fma.f32 u0 u0 u0) #s(literal 1 binary32)))) (log1p.f32 (.f32 (fma.f32 u0 u0 u0) (+.f32 (fma.f32 u0 u0 u0) #s(literal -1 binary32))))))
(.f32 (.f32 (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) alpha) (/.f32 (pow.f32 alpha #s(literal 3/2 binary32)) #s(literal -1 binary32))) (log1p.f32 (neg.f32 u0)))
(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0))))))
(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 u0)) (log1p.f32 u0)))) (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))))))
(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))))))
(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))))) (-.f32 (pow.f32 (log1p.f32 (.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32))))))

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

Calls

6 calls:

66.0ms	(*.f32 (neg.f32 alpha) alpha)
39.0ms	u0
30.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))
24.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
21.0ms	alpha

Results

Accuracy	Segments	Branch
99.1%	1	`alpha`
99.1%	1	`u0`
99.1%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
99.1%	1	`(*.f32 (neg.f32 alpha) alpha)`
99.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
99.1%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes120.0ms (1.1%)

Memory

30.4MiB live, 145.5MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 alpha u0) alpha)
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))
(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(.f32 u0 (.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(.f32 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0)
(.f32 (.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) alpha)
(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha))))
(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 alpha alpha)))
(.f32 u0 (fma.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha) (.f32 alpha alpha)))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))
(.f32 u0 (.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u0))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) alpha)
(.f32 (.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) alpha)
(.f32 (fma.f32 (.f32 alpha u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) alpha)
(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 u0 (.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))))))
(.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
(.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 alpha alpha)))
(.f32 u0 (+.f32 (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha alpha)))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) alpha)
(.f32 (.f32 u0 (.f32 u0 u0)) (/.f32 (.f32 alpha alpha) (*.f32 u0 u0)))
(.f32 u0 (/.f32 #s(literal 1 binary32) (/.f32 alpha (.f32 alpha (*.f32 alpha alpha)))))
(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
(.f32 (.f32 u0 (fma.f32 u0 (fma.f32 u0 (.f32 alpha (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 alpha #s(literal 1/2 binary32))) alpha)) alpha)
(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 (.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))
(.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (neg.f32 alpha)) (.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (/.f32 (.f32 alpha (*.f32 alpha alpha)) alpha)))
(.f32 u0 (fma.f32 u0 (.f32 (.f32 (.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 (/.f32 alpha (/.f32 #s(literal -1 binary32) alpha)) (.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha (*.f32 alpha (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0)) u0)))))
(.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (*.f32 (/.f32 alpha u0) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u0))))))
(.f32 (.f32 (/.f32 (.f32 alpha (.f32 alpha alpha)) (.f32 alpha (neg.f32 alpha))) alpha) (.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 alpha alpha) (*.f32 u0 u0))))))
(/.f32 (.f32 (.f32 (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (.f32 alpha alpha)) (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (.f32 alpha (neg.f32 alpha)))) u0) (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha (neg.f32 alpha))))

Outputs
(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 (.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))

Calls

6 calls:

34.0ms	(*.f32 (neg.f32 alpha) alpha)
27.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))
17.0ms	u0
14.0ms	alpha
13.0ms	(-.f32 #s(literal 1 binary32) u0)

Results

Accuracy	Segments	Branch
94.2%	1	`alpha`
94.2%	1	`u0`
94.2%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
94.2%	1	`(*.f32 (neg.f32 alpha) alpha)`
94.2%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
94.2%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes116.0ms (1.1%)

Memory

-36.3MiB live, 166.0MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 alpha u0) alpha)
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))
(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(.f32 u0 (.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(.f32 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0)
(.f32 (.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) alpha)
(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha))))
(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 alpha alpha)))
(.f32 u0 (fma.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha) (.f32 alpha alpha)))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))
(.f32 u0 (.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u0))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) alpha)
(.f32 (.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) alpha)
(.f32 (fma.f32 (.f32 alpha u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) alpha)
(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 u0 (.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))))))
(.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
(.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 alpha alpha)))
(.f32 u0 (+.f32 (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha alpha)))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) alpha)
(.f32 (.f32 u0 (.f32 u0 u0)) (/.f32 (.f32 alpha alpha) (*.f32 u0 u0)))
(.f32 u0 (/.f32 #s(literal 1 binary32) (/.f32 alpha (.f32 alpha (*.f32 alpha alpha)))))
(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
(.f32 (.f32 u0 (fma.f32 u0 (fma.f32 u0 (.f32 alpha (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 alpha #s(literal 1/2 binary32))) alpha)) alpha)

Outputs
(.f32 (.f32 u0 (fma.f32 u0 (fma.f32 u0 (.f32 alpha (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 alpha #s(literal 1/2 binary32))) alpha)) alpha)

Calls

6 calls:

49.0ms	u0
17.0ms	(-.f32 #s(literal 1 binary32) u0)
13.0ms	alpha
12.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
12.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))

Results

Accuracy	Segments	Branch
94.1%	1	`u0`
94.1%	1	`alpha`
94.1%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
94.1%	1	`(*.f32 (neg.f32 alpha) alpha)`
94.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
94.1%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes73.0ms (0.7%)

Memory

43.9MiB live, 155.8MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 alpha u0) alpha)
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))
(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(.f32 u0 (.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(.f32 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0)
(.f32 (.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) alpha)
(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha))))
(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 alpha alpha)))
(.f32 u0 (fma.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha) (.f32 alpha alpha)))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))
(.f32 u0 (.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u0))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) alpha)
(.f32 (.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) alpha)
(.f32 (fma.f32 (.f32 alpha u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) alpha)
(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 u0 (.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))))))
(.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
(.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 alpha alpha)))
(.f32 u0 (+.f32 (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha alpha)))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) alpha)
(.f32 (.f32 u0 (.f32 u0 u0)) (/.f32 (.f32 alpha alpha) (*.f32 u0 u0)))
(.f32 u0 (/.f32 #s(literal 1 binary32) (/.f32 alpha (.f32 alpha (*.f32 alpha alpha)))))
(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 (.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))

Outputs
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))

Calls

6 calls:

13.0ms	alpha
12.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))
12.0ms	(*.f32 (neg.f32 alpha) alpha)
11.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
11.0ms	u0

Results

Accuracy	Segments	Branch
94.1%	1	`u0`
94.1%	1	`alpha`
94.1%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
94.1%	1	`(*.f32 (neg.f32 alpha) alpha)`
94.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
94.1%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes67.0ms (0.6%)

Memory

-13.0MiB live, 115.0MiB allocated

Counts

37 → 1

Calls

Call 1

Inputs
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 alpha u0) alpha)
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))
(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(.f32 u0 (.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(.f32 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0)
(.f32 (.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) alpha)
(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha))))
(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 alpha alpha)))
(.f32 u0 (fma.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha) (.f32 alpha alpha)))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))
(.f32 u0 (.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u0))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) alpha)
(.f32 (.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) alpha)
(.f32 (fma.f32 (.f32 alpha u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) alpha)
(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 u0 (.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))))))
(.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
(.f32 u0 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 alpha alpha)))
(.f32 u0 (+.f32 (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (*.f32 alpha alpha)))

Outputs
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))

Calls

6 calls:

11.0ms	alpha
11.0ms	(*.f32 (neg.f32 alpha) alpha)
10.0ms	u0
10.0ms	(-.f32 #s(literal 1 binary32) u0)
10.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))

Results

Accuracy	Segments	Branch
92.4%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
92.4%	1	`alpha`
92.4%	1	`u0`
92.4%	1	`(*.f32 (neg.f32 alpha) alpha)`
92.4%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
92.4%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes59.0ms (0.6%)

Memory

-9.2MiB live, 110.8MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 alpha u0) alpha)
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))
(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(.f32 u0 (.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(.f32 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0)
(.f32 (.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) alpha)
(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha))))
(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 alpha alpha)))
(.f32 u0 (fma.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha) (.f32 alpha alpha)))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))
(.f32 u0 (.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u0))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha)) alpha)
(.f32 (.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) alpha)
(.f32 (fma.f32 (.f32 alpha u0) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) alpha)
(fma.f32 (.f32 alpha alpha) u0 (.f32 u0 (.f32 u0 (.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))))))
(.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))))

Outputs
(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))

Calls

6 calls:

10.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))
10.0ms	(*.f32 (neg.f32 alpha) alpha)
10.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
9.0ms	alpha
9.0ms	u0

Results

Accuracy	Segments	Branch
92.3%	1	`u0`
92.3%	1	`(*.f32 (neg.f32 alpha) alpha)`
92.3%	1	`alpha`
92.3%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
92.3%	1	`(-.f32 #s(literal 1 binary32) u0)`
92.3%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes40.0ms (0.4%)

Memory

9.4MiB live, 87.4MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 alpha u0) alpha)
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))
(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(.f32 u0 (.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(.f32 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0)
(.f32 (.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) alpha)
(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha))))
(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 alpha alpha)))
(.f32 u0 (fma.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha) (.f32 alpha alpha)))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))

Outputs
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))

Calls

6 calls:

7.0ms	alpha
7.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))
6.0ms	(*.f32 (neg.f32 alpha) alpha)
6.0ms	u0
6.0ms	(-.f32 #s(literal 1 binary32) u0)

Results

Accuracy	Segments	Branch
92.1%	1	`u0`
92.1%	1	`(*.f32 (neg.f32 alpha) alpha)`
92.1%	1	`alpha`
92.1%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
92.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
92.1%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes38.0ms (0.4%)

Memory

-19.0MiB live, 62.1MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 alpha u0) alpha)
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))
(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(.f32 u0 (.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(.f32 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0)
(.f32 (.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) alpha)
(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha))))
(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 alpha alpha)))
(.f32 u0 (fma.f32 (.f32 u0 #s(literal 1/2 binary32)) (.f32 alpha alpha) (.f32 alpha alpha)))

Outputs
(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))

Calls

6 calls:

8.0ms	(-.f32 #s(literal 1 binary32) u0)
7.0ms	alpha
6.0ms	(*.f32 (neg.f32 alpha) alpha)
6.0ms	u0
5.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))

Results

Accuracy	Segments	Branch
88.0%	1	`u0`
88.0%	1	`alpha`
88.0%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
88.0%	1	`(*.f32 (neg.f32 alpha) alpha)`
88.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
88.0%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes30.0ms (0.3%)

Memory

20.1MiB live, 58.9MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 alpha u0) alpha)
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))
(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(.f32 u0 (.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)))
(.f32 (.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(.f32 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0)
(.f32 (.f32 u0 (*.f32 alpha alpha)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha)
(.f32 (.f32 (*.f32 alpha u0) alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(.f32 (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) (*.f32 alpha u0))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(.f32 (.f32 (neg.f32 alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))) alpha)

Outputs
(.f32 u0 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))

Calls

6 calls:

6.0ms	u0
5.0ms	(*.f32 (neg.f32 alpha) alpha)
5.0ms	alpha
5.0ms	(-.f32 #s(literal 1 binary32) u0)
5.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))

Results

Accuracy	Segments	Branch
87.9%	1	`(*.f32 (neg.f32 alpha) alpha)`
87.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
87.9%	1	`(-.f32 #s(literal 1 binary32) u0)`
87.9%	1	`u0`
87.9%	1	`alpha`
87.9%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes12.0ms (0.1%)

Memory

-12.3MiB live, 26.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(.f32 u0 (.f32 alpha alpha))
(.f32 (.f32 alpha u0) alpha)
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))

Outputs
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))

Calls

6 calls:

3.0ms	u0
2.0ms	(*.f32 (neg.f32 alpha) alpha)
2.0ms	alpha
2.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))
2.0ms	(-.f32 #s(literal 1 binary32) u0)

Results

Accuracy	Segments	Branch
87.6%	1	`(*.f32 (neg.f32 alpha) alpha)`
87.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
87.6%	1	`(-.f32 #s(literal 1 binary32) u0)`
87.6%	1	`alpha`
87.6%	1	`u0`
87.6%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes9.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Accuracy

Total -0.1b remaining (-0.9%)

Threshold costs -0.1b (-0.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

1.0ms	(*.f32 (neg.f32 alpha) alpha)
1.0ms	u0
1.0ms	alpha
1.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))
1.0ms	(-.f32 #s(literal 1 binary32) u0)

Results

Accuracy	Segments	Branch
75.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
75.6%	1	`(-.f32 #s(literal 1 binary32) u0)`
75.6%	1	`alpha`
75.6%	1	`u0`
75.6%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
75.6%	1	`(*.f32 (neg.f32 alpha) alpha)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

simplify23.0ms (0.2%)

Memory

-26.1MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`*-commutative_binary32`
20×	`neg-sub0_binary32`
20×	`neg-mul-1_binary32`
16×	`sub-neg_binary32`
16×	`+-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	141
1	97	141
2	111	141
3	129	141
4	143	141
5	151	141
6	155	141
7	156	141

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 (.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))
(.f32 (.f32 u0 (fma.f32 u0 (fma.f32 u0 (.f32 alpha (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 alpha #s(literal 1/2 binary32))) alpha)) alpha)
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha alpha))

Outputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 u0 (.f32 u0 #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))
(.f32 (.f32 u0 (fma.f32 u0 (fma.f32 u0 (.f32 alpha (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 alpha #s(literal 1/2 binary32))) alpha)) alpha)
(.f32 alpha (.f32 u0 (fma.f32 u0 (fma.f32 u0 (.f32 alpha (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 alpha #s(literal 1/2 binary32))) alpha)))
(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 (.f32 alpha alpha) (*.f32 (neg.f32 u0) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
(.f32 u0 (fma.f32 alpha alpha (.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 alpha (.f32 alpha u0)))))
(.f32 u0 (.f32 alpha (fma.f32 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha alpha)))
(.f32 alpha (.f32 alpha (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0)))
(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
(.f32 u0 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))
(.f32 u0 (.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 u0 (.f32 alpha alpha))

soundness1.4s (13.5%)

Memory

19.9MiB live, 1 138.2MiB allocated

Rules

16 992×	`lower-fma.f64`
16 992×	`lower-fma.f32`
15 006×	`lower-fma.f64`
15 006×	`lower-fma.f32`
14 186×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	204
0	76	176
1	292	148
2	2069	144
0	8733	143
0	750	9013
1	2443	7930
0	8256	7316
0	267	4919
1	872	4453
2	2698	4305
3	6295	4225
0	8380	3801
0	27	142
0	52	134
1	185	134
2	1293	124
0	8429	124
0	112	562
1	307	535
2	805	502
3	2108	490
4	5927	483
0	8142	455
0	192	3723
1	588	3437
2	1720	3227
3	3873	3187
0	8201	2961
0	8	19
0	13	19
1	39	19
2	180	19
3	1310	19
0	9491	15

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 408 to 224 computations (45.1% saved)

preprocess143.0ms (1.3%)

Memory: -8.8MiB live, 145.2MiB allocated
Remove: (abs alpha)
Compiler: Compiled 408 to 204 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	20	49
1	66	43
2	177	43
3	451	43
4	759	43
5	864	43
6	903	43
7	910	43
8	912	43
9	912	43
0	8	9
0	13	9
1	26	9
2	48	9
3	92	9
4	120	9
5	139	9
6	179	9
7	198	9
8	204	9
9	210	9
10	210	9
0	210	8

Iter	Nodes	Cost
0	8	25
0	13	25
1	26	25
2	48	25
3	92	25
4	120	25
5	139	25
6	179	25
7	198	25
8	204	25
9	210	25
10	210	25
0	210	23

Iter	Nodes	Cost
0	20	49
1	66	43
2	177	43
3	451	43
4	759	43
5	864	43
6	903	43
7	910	43
8	912	43
9	912	43
0	8	9
0	13	9
1	26	9
2	48	9
3	92	9
4	120	9
5	139	9
6	179	9
7	198	9
8	204	9
9	210	9
10	210	9
0	210	8

Iter	Nodes	Cost
0	8	25
0	13	25
1	26	25
2	48	25
3	92	25
4	120	25
5	139	25
6	179	25
7	198	25
8	204	25
9	210	25
10	210	25
0	210	23

analyze67.0ms (0.6%)

sample1.4s (13%)

preprocess37.0ms (0.3%)

explain147.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize40.0ms (0.4%)

series43.0ms (0.4%)

rewrite321.0ms (3%)

simplify418.0ms (3.9%)

eval20.0ms (0.2%)

prune43.0ms (0.4%)

simplify391.0ms (3.7%)

localize136.0ms (1.3%)

series87.0ms (0.8%)

rewrite372.0ms (3.5%)

simplify492.0ms (4.6%)

eval151.0ms (1.4%)

prune233.0ms (2.2%)

simplify302.0ms (2.8%)

localize98.0ms (0.9%)

series34.0ms (0.3%)

rewrite380.0ms (3.6%)

simplify376.0ms (3.5%)

eval130.0ms (1.2%)

prune179.0ms (1.7%)

simplify214.0ms (2%)

localize121.0ms (1.1%)

series303.0ms (2.8%)

rewrite606.0ms (5.7%)

simplify545.0ms (5.1%)

eval241.0ms (2.3%)

prune358.0ms (3.4%)

regimes220.0ms (2.1%)

regimes120.0ms (1.1%)

regimes116.0ms (1.1%)

regimes73.0ms (0.7%)

regimes67.0ms (0.6%)

regimes59.0ms (0.6%)

regimes40.0ms (0.4%)

regimes38.0ms (0.4%)

regimes30.0ms (0.3%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

simplify23.0ms (0.2%)

soundness1.4s (13.5%)

preprocess143.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	49
1	66	43
2	177	43
3	451	43
4	759	43
5	864	43
6	903	43
7	910	43
8	912	43
9	912	43
0	8	9
0	13	9
1	26	9
2	48	9
3	92	9
4	120	9
5	139	9
6	179	9
7	198	9
8	204	9
9	210	9
10	210	9
0	210	8

Iter	Nodes	Cost
0	8	25
0	13	25
1	26	25
2	48	25
3	92	25
4	120	25
5	139	25
6	179	25
7	198	25
8	204	25
9	210	25
10	210	25
0	210	23