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

analyze96.0ms (0.8%)

Memory

-2.9MiB live, 77.4MiB 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)

sample1.8s (16.1%)

Memory

-136.3MiB live, 1 752.7MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 980.0ms

const: 282.0ms (28.8% of total)

ival-mult: 220.0ms (22.5% of total)

ival-log: 170.0ms (17.4% of total)

ival-<=: 165.0ms (16.8% of total)

ival-neg: 60.0ms (6.1% of total)

ival-sub: 51.0ms (5.2% of total)

ival-and: 22.0ms (2.2% of total)

exact: 5.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess40.0ms (0.4%)

Memory

-13.5MiB live, 71.3MiB 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)

explain90.0ms (0.8%)

Memory

-26.0MiB live, 171.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
216	2	(0.23085211217403412 0.003056582296267152)	6	(0.038918692618608475 0.014622789807617664)	`(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	212	12

Confusion

	Predicted +	Predicted -
+	209	6
-	3	38

Precision

0.9858490566037735

Recall

0.9720930232558139

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	209	6	0
-	3	6	32

Precision?

0.9598214285714286

Recall?

1.0

Freqs

test

number	freq
0	44
1	212

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-log: 9.0ms (40% of total)

ival-mult: 6.0ms (26.6% of total)

ival-sub: 4.0ms (17.8% of total)

ival-neg: 2.0ms (8.9% 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

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.4%	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify10.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB 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

localize27.0ms (0.2%)

Memory

10.1MiB live, 48.2MiB 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	98.9%	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
✓	accuracy	52.1%	(log.f32 (-.f32 #s(literal 1 binary32) u0))

Samples

18.0ms

256×

valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (41.5% of total)

ival-log: 4.0ms (33.2% of total)

ival-sub: 1.0ms (8.3% of total)

ival-neg: 1.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

series50.0ms (0.4%)

Memory

4.4MiB live, 45.1MiB 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
46.0ms	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))

rewrite330.0ms (2.9%)

Memory

-10.4MiB live, 502.8MiB 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))))
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(.f32 (log1p.f32 u0) (.f32 alpha (neg.f32 alpha)))
(.f32 alpha (neg.f32 (.f32 (log1p.f32 u0) alpha)))
(.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)))

simplify407.0ms (3.5%)

Memory

29.6MiB live, 822.9MiB 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)

eval23.0ms (0.2%)

Memory: 1.5MiB live, 77.9MiB allocated
Compiler: Compiled 4 851 to 733 computations (84.9% saved)

prune200.0ms (1.7%)

Memory

-17.6MiB live, 125.0MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	228	16	244
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	228	17	245

Accuracy

99.6%

Counts

245 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.2%	(.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))))))
▶	73.3%	(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (.f32 (neg.f32 (log1p.f32 u0)) (neg.f32 (log1p.f32 u0)))) (-.f32 (log1p.f32 (*.f32 u0 u0)) (neg.f32 (log1p.f32 u0)))))
	73.2%	(.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))))))
	87.4%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (.f32 u0 (.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))))
▶	49.2%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.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)))))
	50.8%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u0 u0) (.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))) (log1p.f32 (.f32 u0 u0))))
	49.0%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (.f32 u0 (.f32 u0 u0))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))))
	87.3%	(.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))))))
	95.1%	(.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))))
	93.4%	(.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))))
	89.8%	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
▶	98.9%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
✓	52.4%	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
	89.9%	(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
	95.4%	(.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)))
▶	93.7%	(.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)))
▶	77.7%	(.f32 u0 (.f32 alpha alpha))

Compiler

Compiled 769 to 414 computations (46.2% saved)

simplify263.0ms (2.3%)

Memory

-11.4MiB live, 544.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(-.f32 (log1p.f32 (*.f32 u0 u0)) (neg.f32 (log1p.f32 u0)))
✓	cost-diff	64	(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (.f32 (neg.f32 (log1p.f32 u0)) (neg.f32 (log1p.f32 u0)))) (-.f32 (log1p.f32 (*.f32 u0 u0)) (neg.f32 (log1p.f32 u0)))))
✓	cost-diff	128	(*.f32 (neg.f32 (log1p.f32 u0)) (neg.f32 (log1p.f32 u0)))
✓	cost-diff	13600	(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (.f32 (neg.f32 (log1p.f32 u0)) (neg.f32 (log1p.f32 u0)))) (-.f32 (log1p.f32 (*.f32 u0 u0)) (neg.f32 (log1p.f32 u0))))
✓	cost-diff	0	(neg.f32 alpha)
✓	cost-diff	0	(*.f32 (neg.f32 alpha) alpha)
✓	cost-diff	64	(log.f32 (*.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u0)))
✓	cost-diff	64	(.f32 (.f32 (neg.f32 alpha) alpha) (-.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)))))
✓	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

8 634×	`lower-fma.f64`
8 628×	`lower-fma.f32`
4 324×	`lower-*.f64`
4 298×	`lower-*.f32`
2 274×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	294
0	73	286
1	158	273
2	403	261
3	1115	237
4	3354	233
5	5285	233
0	8270	228

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

localize136.0ms (1.2%)

Memory

24.9MiB live, 252.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u0 u0)) #s(literal 2 binary32)) (.f32 (neg.f32 (log1p.f32 u0)) (neg.f32 (log1p.f32 u0)))) (-.f32 (log1p.f32 (*.f32 u0 u0)) (neg.f32 (log1p.f32 u0)))))
✓	accuracy	99.0%	(-.f32 (log1p.f32 (*.f32 u0 u0)) (neg.f32 (log1p.f32 u0)))
✓	accuracy	98.8%	(*.f32 (neg.f32 (log1p.f32 u0)) (neg.f32 (log1p.f32 u0)))
✓	accuracy	98.5%	(pow.f32 (log1p.f32 (*.f32 u0 u0)) #s(literal 2 binary32))
✓	accuracy	99.7%	(*.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u0))
✓	accuracy	98.9%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.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)))))
✓	accuracy	98.2%	(.f32 (.f32 u0 u0) (*.f32 u0 u0))
✓	accuracy	49.3%	(log.f32 (*.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u0)))
✓	accuracy	99.3%	(.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
✓	accuracy	99.3%	(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 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	99.2%	(.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	98.9%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))

Samples

81.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 360 to 41 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 24.0ms (36.9% of total)

ival-log1p: 8.0ms (12.3% of total)

const: 7.0ms (10.8% of total)

ival-div: 5.0ms (7.7% of total)

ival-pow2: 5.0ms (7.7% of total)

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

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

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

ival-sub: 3.0ms (4.6% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series143.0ms (1.3%)

Memory

5.2MiB live, 277.7MiB allocated

Counts

20 → 336

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

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

Calls

84 calls:

Time	Variable		Point	Expression
58.0ms	alpha	@	0	(* (* (neg alpha) alpha) (/ (- (pow (log (+ 1 (* u0 u0))) 2) (* (neg (log (+ 1 u0))) (neg (log (+ 1 u0))))) (- (log (+ 1 (* u0 u0))) (neg (log (+ 1 u0))))))
44.0ms	alpha	@	0	(* (* (neg alpha) alpha) (- (log (+ 1 (neg (* (* u0 u0) (* u0 u0))))) (log (* (+ (* u0 u0) 1) (+ 1 u0)))))
4.0ms	u0	@	inf	(/ (- (pow (log (+ 1 (* u0 u0))) 2) (* (neg (log (+ 1 u0))) (neg (log (+ 1 u0))))) (- (log (+ 1 (* u0 u0))) (neg (log (+ 1 u0)))))
3.0ms	alpha	@	0	(* u0 (* alpha alpha))
3.0ms	u0	@	-inf	(* (* (neg alpha) alpha) (/ (- (pow (log (+ 1 (* u0 u0))) 2) (* (neg (log (+ 1 u0))) (neg (log (+ 1 u0))))) (- (log (+ 1 (* u0 u0))) (neg (log (+ 1 u0))))))

rewrite331.0ms (2.9%)

Memory

-3.8MiB live, 478.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 932×	`lower-/.f64`
3 930×	`lower-/.f32`
3 644×	`lower-*.f64`
3 620×	`lower-*.f32`
2 442×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	189
0	73	162
1	286	131
2	2194	128
0	8537	128

Stop Event

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

Counts

20 → 931

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

simplify407.0ms (3.6%)

Memory

-6.6MiB live, 705.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 872×	`lower-fma.f64`
8 872×	`lower-fma.f32`
5 306×	`lower-*.f64`
5 306×	`lower-*.f32`
4 740×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	676	7321
1	2214	6867
2	7845	6808
0	8617	6335

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 334

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)
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u0
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(* (pow alpha 2) u0)
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u0
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(* -1 u0)
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1
(+ 1 u0)
(+ 1 (* u0 (+ 1 u0)))
(+ 1 (* u0 (+ 1 (* u0 (+ 1 u0)))))
(pow u0 3)
(* (pow u0 3) (+ 1 (/ 1 u0)))
(* (pow u0 3) (+ 1 (+ (/ 1 u0) (/ 1 (pow u0 2)))))
(* (pow u0 3) (+ 1 (+ (/ 1 u0) (+ (/ 1 (pow u0 2)) (/ 1 (pow u0 3))))))
(pow u0 3)
(* (pow u0 3) (+ 1 (/ 1 u0)))
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(pow u0 4)
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(* (pow u0 4) (+ 1 (* (pow u0 2) (- (* 11/12 (pow u0 2)) 1))))
(* (pow u0 4) (+ 1 (* (pow u0 2) (- (* (pow u0 2) (+ 11/12 (* -5/6 (pow u0 2)))) 1))))
(* 4 (pow (log (/ 1 u0)) 2))
(+ (* -4 (/ (log (/ 1 u0)) (pow u0 2))) (* 4 (pow (log (/ 1 u0)) 2)))
(+ (* -4 (/ (log (/ 1 u0)) (pow u0 2))) (+ (* 2 (/ (log (/ 1 u0)) (pow u0 4))) (+ (* 4 (pow (log (/ 1 u0)) 2)) (/ 1 (pow u0 4)))))
(- (+ (* -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)))
(* 4 (pow (log (/ -1 u0)) 2))
(+ (* -4 (/ (log (/ -1 u0)) (pow u0 2))) (* 4 (pow (log (/ -1 u0)) 2)))
(+ (* -4 (/ (log (/ -1 u0)) (pow u0 2))) (+ (* 2 (/ (log (/ -1 u0)) (pow u0 4))) (+ (* 4 (pow (log (/ -1 u0)) 2)) (/ 1 (pow u0 4)))))
(- (+ (* -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)))

Outputs
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (- 1 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 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 (fma.f32 u0 (.f32 (.f32 (.f32 alpha alpha) u0) #s(literal 1/4 binary32)) (.f32 alpha (.f32 alpha (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)) (neg.f32 (.f32 alpha alpha)))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))
(fma.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (neg.f32 (.f32 alpha alpha)) (/.f32 (.f32 alpha alpha) u0))
(+ (* -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)) (neg.f32 (.f32 alpha alpha)) (fma.f32 alpha (/.f32 alpha u0) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 u0 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))))
(fma.f32 (.f32 alpha alpha) (/.f32 #s(literal 1/3 binary32) (.f32 u0 (.f32 u0 u0))) (fma.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (neg.f32 (.f32 alpha alpha)) (fma.f32 alpha (/.f32 alpha u0) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 u0 u0)))))
(* (pow alpha 2) (log (/ -1 u0)))
(.f32 (.f32 alpha alpha) (neg.f32 (log.f32 (neg.f32 u0))))
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))
(fma.f32 alpha (/.f32 alpha u0) (.f32 (.f32 alpha alpha) (neg.f32 (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 (fma.f32 alpha (neg.f32 alpha) (.f32 (/.f32 (*.f32 alpha alpha) u0) #s(literal -1/2 binary32))) (neg.f32 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))))
(fma.f32 alpha (.f32 alpha (neg.f32 (log.f32 (neg.f32 u0)))) (/.f32 (neg.f32 (fma.f32 alpha alpha (/.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32))) u0))) (neg.f32 u0)))
(* -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 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 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))
(+.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)) (neg.f32 u0))) u0)))
(* -1 (log (/ -1 u0)))
(neg.f32 (neg.f32 (log.f32 (neg.f32 u0))))
(- (* -1 (log (/ -1 u0))) (/ 1 u0))
(neg.f32 (+.f32 (neg.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)) (neg.f32 u0)) (neg.f32 (log.f32 (neg.f32 u0))))
(+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u0 u0)))) (neg.f32 u0)) (neg.f32 (log.f32 (neg.f32 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)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(pow alpha 2)
(*.f32 alpha alpha)
(+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2))
(fma.f32 alpha alpha (.f32 u0 (.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))))
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* 1/3 (* (pow alpha 2) (pow u0 2)))
(.f32 (.f32 alpha alpha) (.f32 #s(literal 1/3 binary32) (.f32 u0 u0)))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(.f32 u0 (.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32)))))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (.f32 alpha alpha) #s(literal 1/3 binary32)))))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (.f32 alpha alpha) #s(literal 1/3 binary32)))))
(* 1/3 (* (pow alpha 2) (pow u0 2)))
(.f32 (.f32 alpha alpha) (.f32 #s(literal 1/3 binary32) (.f32 u0 u0)))
(* (pow u0 2) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(.f32 u0 (.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32)))))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))
(.f32 (.f32 u0 u0) (-.f32 (.f32 (.f32 alpha alpha) #s(literal 1/3 binary32)) (/.f32 (-.f32 (.f32 (.f32 alpha alpha) #s(literal -1/2 binary32)) (/.f32 (*.f32 alpha alpha) u0)) u0)))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)) (* 1/3 (pow alpha 2))))
(.f32 (.f32 u0 u0) (-.f32 (.f32 (.f32 alpha alpha) #s(literal 1/3 binary32)) (/.f32 (-.f32 (.f32 (.f32 alpha alpha) #s(literal -1/2 binary32)) (/.f32 (*.f32 alpha alpha) u0)) u0)))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* (pow alpha 2) (+ 1 (* u0 (+ 1/2 (* 1/3 u0)))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* (pow alpha 2) u0)
(.f32 (.f32 alpha alpha) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(.f32 (.f32 alpha 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 (.f32 alpha 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 (.f32 u0 (*.f32 u0 u0)) #s(literal 1/3 binary32)))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))))
(.f32 (.f32 u0 u0) (.f32 u0 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (.f32 alpha alpha) #s(literal 1/3 binary32)))))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(.f32 (.f32 u0 (.f32 u0 u0)) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32)))))
(* (pow u0 3) (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))))
(.f32 (.f32 u0 (.f32 u0 u0)) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32)))))
(* 1/3 (* (pow alpha 2) (pow u0 3)))
(.f32 (.f32 alpha alpha) (.f32 (.f32 u0 (*.f32 u0 u0)) #s(literal 1/3 binary32)))
(* -1 (* (pow u0 3) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))))
(.f32 (.f32 u0 (.f32 u0 u0)) (neg.f32 (fma.f32 (.f32 alpha alpha) #s(literal -1/3 binary32) (.f32 (/.f32 (.f32 alpha alpha) u0) #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 (fma.f32 alpha (.f32 alpha #s(literal -1/3 binary32)) (/.f32 (fma.f32 alpha (.f32 alpha #s(literal 1/2 binary32)) (/.f32 (.f32 alpha alpha) u0)) (neg.f32 u0))) (neg.f32 (.f32 u0 (.f32 u0 u0))))
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))))
(.f32 (fma.f32 alpha (.f32 alpha #s(literal -1/3 binary32)) (/.f32 (fma.f32 alpha (.f32 alpha #s(literal 1/2 binary32)) (/.f32 (.f32 alpha alpha) u0)) (neg.f32 u0))) (neg.f32 (.f32 u0 (.f32 u0 u0))))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0))
(* (pow alpha 2) (* u0 (+ 1 (* u0 (+ 1/2 (* 1/3 u0))))))
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(.f32 (.f32 u0 (*.f32 u0 u0)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u0)))
(* -1 (* (pow u0 3) (- (* -1 (/ (+ 1 (/ 1 u0)) u0)) 1)))
(neg.f32 (.f32 (.f32 u0 (*.f32 u0 u0)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u0)) u0))))
(* -1 (* (pow u0 3) (- (* -1 (/ (+ 1 (+ (/ 1 u0) (/ 1 (pow u0 2)))) u0)) 1)))
(neg.f32 (.f32 (.f32 u0 (.f32 u0 u0)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u0 u0)))) (neg.f32 u0)))))
(pow u0 4)
(pow.f32 u0 #s(literal 4 binary32))
(* (pow u0 4) (+ 1 (* -1 (pow u0 2))))
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (fma.f32 u0 (neg.f32 u0) #s(literal 1 binary32)))
(* (pow u0 4) (+ 1 (* (pow u0 2) (- (* 11/12 (pow u0 2)) 1))))
(.f32 (pow.f32 u0 #s(literal 4 binary32)) (fma.f32 (.f32 u0 u0) (fma.f32 (*.f32 u0 u0) #s(literal 11/12 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)))
(* (pow u0 4) (+ 1 (* (pow u0 2) (- (* (pow u0 2) (+ 11/12 (* -5/6 (pow u0 2)))) 1))))
(.f32 (pow.f32 u0 #s(literal 4 binary32)) (fma.f32 (.f32 u0 u0) (fma.f32 (.f32 u0 u0) (fma.f32 u0 (.f32 u0 #s(literal -5/6 binary32)) #s(literal 11/12 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(* 4 (pow (log (/ 1 u0)) 2))
(*.f32 #s(literal 4 binary32) (pow.f32 (neg.f32 (log.f32 u0)) #s(literal 2 binary32)))
(+ (* -4 (/ (log (/ 1 u0)) (pow u0 2))) (* 4 (pow (log (/ 1 u0)) 2)))
(fma.f32 (neg.f32 (log.f32 u0)) (/.f32 #s(literal -4 binary32) (.f32 u0 u0)) (.f32 #s(literal 4 binary32) (pow.f32 (neg.f32 (log.f32 u0)) #s(literal 2 binary32))))
(+ (* -4 (/ (log (/ 1 u0)) (pow u0 2))) (+ (* 2 (/ (log (/ 1 u0)) (pow u0 4))) (+ (* 4 (pow (log (/ 1 u0)) 2)) (/ 1 (pow u0 4)))))
(fma.f32 (neg.f32 (log.f32 u0)) (/.f32 #s(literal -4 binary32) (*.f32 u0 u0)) (fma.f32 #s(literal 2 binary32) (/.f32 (neg.f32 (log.f32 u0)) (pow.f32 u0 #s(literal 4 binary32))) (fma.f32 #s(literal 4 binary32) (pow.f32 (neg.f32 (log.f32 u0)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 4 binary32))))))
(- (+ (* -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)))
(+.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 (neg.f32 (log.f32 u0)) (pow.f32 u0 #s(literal 6 binary32))) (fma.f32 #s(literal 2 binary32) (/.f32 (neg.f32 (log.f32 u0)) (pow.f32 u0 #s(literal 4 binary32))) (fma.f32 #s(literal 4 binary32) (pow.f32 (neg.f32 (log.f32 u0)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 4 binary32)))))) (fma.f32 (neg.f32 (log.f32 u0)) (/.f32 #s(literal -4 binary32) (*.f32 u0 u0)) (/.f32 #s(literal -1 binary32) (pow.f32 u0 #s(literal 6 binary32)))))
(* 4 (pow (log (/ -1 u0)) 2))
(*.f32 #s(literal 4 binary32) (pow.f32 (neg.f32 (log.f32 (neg.f32 u0))) #s(literal 2 binary32)))
(+ (* -4 (/ (log (/ -1 u0)) (pow u0 2))) (* 4 (pow (log (/ -1 u0)) 2)))
(fma.f32 #s(literal 4 binary32) (pow.f32 (neg.f32 (log.f32 (neg.f32 u0))) #s(literal 2 binary32)) (.f32 (neg.f32 (log.f32 (neg.f32 u0))) (/.f32 #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)))))
(fma.f32 (neg.f32 (log.f32 (neg.f32 u0))) (/.f32 #s(literal -4 binary32) (*.f32 u0 u0)) (fma.f32 #s(literal 2 binary32) (/.f32 (neg.f32 (log.f32 (neg.f32 u0))) (pow.f32 u0 #s(literal 4 binary32))) (fma.f32 #s(literal 4 binary32) (pow.f32 (neg.f32 (log.f32 (neg.f32 u0))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 4 binary32))))))
(- (+ (* -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)))
(+.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 (neg.f32 (log.f32 (neg.f32 u0))) (pow.f32 u0 #s(literal 6 binary32))) (fma.f32 #s(literal 2 binary32) (/.f32 (neg.f32 (log.f32 (neg.f32 u0))) (pow.f32 u0 #s(literal 4 binary32))) (fma.f32 #s(literal 4 binary32) (pow.f32 (neg.f32 (log.f32 (neg.f32 u0))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 4 binary32)))))) (fma.f32 (neg.f32 (log.f32 (neg.f32 u0))) (/.f32 #s(literal -4 binary32) (*.f32 u0 u0)) (/.f32 #s(literal -1 binary32) (pow.f32 u0 #s(literal 6 binary32)))))

eval200.0ms (1.7%)

Memory: 11.8MiB live, 289.2MiB allocated
Compiler: Compiled 55 614 to 4 529 computations (91.9% saved)

prune190.0ms (1.7%)

Memory

-1.0MiB live, 350.7MiB allocated

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	1 347	16	1 363
Fresh	5	6	11
Picked	1	4	5
Done	0	1	1
Total	1 353	27	1 380

Accuracy

100.0%

Counts

1 380 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.6%	(fma.f32 (.f32 (.f32 alpha (.f32 alpha u0)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0 (.f32 alpha (*.f32 alpha u0)))
	93.8%	(fma.f32 (.f32 alpha u0) alpha (.f32 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u0 u0)))
▶	93.9%	(fma.f32 (.f32 alpha alpha) u0 (.f32 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u0 u0)))
	93.4%	(/.f32 (.f32 (.f32 (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 alpha alpha)) (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (neg.f32 (.f32 alpha alpha)))) u0) (fma.f32 u0 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 alpha alpha))))
	93.0%	(.f32 (fma.f32 alpha (.f32 alpha #s(literal -1/3 binary32)) (/.f32 (fma.f32 alpha (.f32 alpha #s(literal 1/2 binary32)) (/.f32 (.f32 alpha alpha) u0)) (neg.f32 u0))) (neg.f32 (.f32 u0 (.f32 u0 u0))))
	98.8%	(.f32 (.f32 (/.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)))) alpha) (log1p.f32 (neg.f32 u0)))
	98.3%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (neg.f32 (.f32 (.f32 u0 u0) (.f32 u0 u0)))) (/.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)))))))
✓	49.2%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.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)))))
	50.8%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u0 u0) (.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))) (log1p.f32 (.f32 u0 u0))))
	95.1%	(.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))))
	93.4%	(.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))))
	89.8%	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
▶	98.8%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (*.f32 u0 u0) (neg.f32 (+.f32 #s(literal 0 binary32) u0)))))
✓	98.9%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
✓	52.4%	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
	93.5%	(.f32 (.f32 u0 (.f32 u0 u0)) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32)))))
▶	77.7%	(.f32 (.f32 alpha u0) alpha)
	93.6%	(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0))
	89.9%	(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
	95.4%	(.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)))
	90.0%	(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 alpha alpha)))
✓	93.7%	(.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)))
	93.9%	(.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)))))
	90.1%	(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
▶	93.6%	(.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32))))))
▶	93.5%	(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
✓	77.7%	(.f32 u0 (.f32 alpha alpha))

Compiler

Compiled 997 to 542 computations (45.6% saved)

simplify209.0ms (1.8%)

Memory

8.9MiB live, 295.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32))))))
✓	cost-diff	224	(fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (.f32 alpha alpha) #s(literal 1/3 binary32))))
✓	cost-diff	256	(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32)))
✓	cost-diff	864	(.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (.f32 alpha alpha) #s(literal 1/3 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 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 u0 u0))
✓	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	320	(fma.f32 (.f32 alpha alpha) u0 (.f32 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u0 u0)))
✓	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 alpha)
✓	cost-diff	0	(.f32 (.f32 alpha 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 (*.f32 alpha 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 (neg.f32 alpha) alpha)
✓	cost-diff	0	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (*.f32 u0 u0) (neg.f32 (+.f32 #s(literal 0 binary32) u0)))))
✓	cost-diff	96	(+.f32 #s(literal 0 binary32) u0)
✓	cost-diff	512	(/.f32 (*.f32 u0 u0) (neg.f32 (+.f32 #s(literal 0 binary32) u0)))

Rules

7 010×	`lower-fma.f64`
7 000×	`lower-fma.f32`
3 946×	`lower-*.f64`
3 920×	`lower-*.f32`
1 468×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	264
0	64	230
1	157	230
2	509	211
3	1812	208
4	3656	207
5	6025	207
6	7079	207
0	8026	205

Stop Event

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

Calls

Call 1

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

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

localize135.0ms (1.2%)

Memory

-13.9MiB live, 179.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f32 (*.f32 alpha alpha) u0)
✓	accuracy	99.2%	(fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (.f32 alpha alpha) #s(literal 1/3 binary32))))
✓	accuracy	99.0%	(.f32 (.f32 alpha alpha) #s(literal 1/3 binary32))
✓	accuracy	98.9%	(.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (.f32 alpha alpha) #s(literal 1/3 binary32)))))
✓	accuracy	99.3%	(fma.f32 (.f32 alpha alpha) u0 (.f32 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u0 u0)))
✓	accuracy	99.3%	(.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
✓	accuracy	99.2%	(*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
✓	accuracy	98.9%	(.f32 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 u0 u0))
✓	accuracy	100.0%	(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	99.2%	(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
✓	accuracy	99.0%	(.f32 (.f32 alpha 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%	(neg.f32 alpha)
✓	accuracy	100.0%	(log1p.f32 (/.f32 (*.f32 u0 u0) (neg.f32 (+.f32 #s(literal 0 binary32) u0))))
✓	accuracy	99.7%	(/.f32 (*.f32 u0 u0) (neg.f32 (+.f32 #s(literal 0 binary32) u0)))
✓	accuracy	98.9%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (*.f32 u0 u0) (neg.f32 (+.f32 #s(literal 0 binary32) u0)))))

Samples

64.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 290 to 39 computations (86.6% saved)

Precisions

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

ival-mult: 29.0ms (58.5% of total)

ival-add: 6.0ms (12.1% of total)

ival-div: 5.0ms (10.1% of total)

const: 4.0ms (8.1% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series41.0ms (0.4%)

Memory

-9.6MiB live, 70.7MiB allocated

Counts

23 → 444

Calls

Call 1

Inputs
#<alt (/.f32 (*.f32 u0 u0) (neg.f32 (+.f32 #s(literal 0 binary32) u0)))>
#<alt (+.f32 #s(literal 0 binary32) u0)>
#<alt (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (*.f32 u0 u0) (neg.f32 (+.f32 #s(literal 0 binary32) u0)))))>
#<alt (*.f32 (neg.f32 alpha) alpha)>
#<alt (.f32 (.f32 alpha u0) alpha)>
#<alt (*.f32 alpha u0)>
#<alt (.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))>
#<alt (.f32 (.f32 alpha alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 alpha alpha)>
#<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 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 u0 u0)))>
#<alt (.f32 (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 u0 u0))>
#<alt (.f32 alpha (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))>
#<alt (.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (.f32 alpha alpha) #s(literal 1/3 binary32)))))>
#<alt (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32)))>
#<alt (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (.f32 alpha alpha) #s(literal 1/3 binary32))))>
#<alt (.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (.f32 (*.f32 alpha alpha) #s(literal 1/3 binary32))))))>
#<alt (log1p.f32 (/.f32 (*.f32 u0 u0) (neg.f32 (+.f32 #s(literal 0 binary32) u0))))>
#<alt (neg.f32 alpha)>
#<alt (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 alpha) #s(literal 1/3 binary32))>
#<alt (/.f32 (*.f32 alpha alpha) u0)>

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

Calls

111 calls:

Time	Variable		Point	Expression
15.0ms	alpha	@	0	(* (* (neg alpha) alpha) (log (+ 1 (/ (* u0 u0) (neg (+ 0 u0))))))
5.0ms	alpha	@	-inf	(* alpha u0)
1.0ms	alpha	@	0	(* (* u0 u0) (+ (* alpha (/ alpha (* u0 u0))) (+ (* 1/2 (/ (* alpha alpha) u0)) (* (* alpha alpha) 1/3))))
1.0ms	alpha	@	inf	(* (* u0 u0) (+ (* alpha (/ alpha (* u0 u0))) (+ (* 1/2 (/ (* alpha alpha) u0)) (* (* alpha alpha) 1/3))))
1.0ms	alpha	@	0	(* u0 (* (* u0 u0) (+ (* alpha (/ alpha (* u0 u0))) (+ (* 1/2 (/ (* alpha alpha) u0)) (* (* alpha alpha) 1/3)))))

rewrite134.0ms (1.2%)

Memory

28.7MiB live, 222.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 732×	`lower-fma.f64`
1 722×	`lower-fma.f32`
1 540×	`lower-*.f64`
1 512×	`lower-*.f32`
870×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	218
0	64	206
1	263	192
0	2443	192

Stop Event

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

Counts

23 → 636

Calls

Call 1

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

Outputs
(neg.f32 u0)
(+.f32 #s(literal 0 binary32) (neg.f32 u0))
(+.f32 (neg.f32 u0) #s(literal 0 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) u0) #s(literal -1 binary32))
(fma.f32 u0 #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 u0 (/.f32 u0 (neg.f32 u0)) #s(literal 0 binary32))
(fma.f32 (*.f32 u0 u0) (/.f32 #s(literal -1 binary32) u0) #s(literal 0 binary32))
(fma.f32 (neg.f32 u0) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 u0) #s(literal 0 binary32))
(fma.f32 (*.f32 u0 (neg.f32 u0)) (/.f32 #s(literal 1 binary32) u0) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) u0) (*.f32 u0 u0) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) u0 #s(literal 0 binary32))
(fma.f32 (/.f32 u0 (neg.f32 u0)) u0 #s(literal 0 binary32))
(fma.f32 (.f32 #s(literal 1 binary32) (.f32 u0 u0)) (/.f32 #s(literal -1 binary32) u0) #s(literal 0 binary32))
(fma.f32 (/.f32 u0 #s(literal -1 binary32)) (/.f32 u0 u0) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) u0)
(-.f32 (neg.f32 u0) #s(literal 0 binary32))
(/.f32 (*.f32 u0 u0) (neg.f32 u0))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u0))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) u0) #s(literal 1 binary32)))
(/.f32 (*.f32 u0 (neg.f32 u0)) u0)
(/.f32 (neg.f32 (.f32 u0 (.f32 u0 u0))) (*.f32 u0 u0))
(/.f32 (.f32 u0 (.f32 u0 u0)) (*.f32 u0 (neg.f32 u0)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) u0)))
(/.f32 (.f32 (.f32 u0 u0) #s(literal 1 binary32)) (neg.f32 u0))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 u0 u0)) (neg.f32 u0))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 u0 (neg.f32 u0))) u0)
(/.f32 (+.f32 #s(literal 0 binary32) (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 #s(literal 0 binary32) (.f32 u0 (.f32 u0 u0))) (*.f32 u0 u0))
(/.f32 (.f32 #s(literal -1 binary32) (.f32 u0 (.f32 u0 u0))) (.f32 u0 u0))
(/.f32 (.f32 #s(literal -1 binary32) (.f32 u0 (neg.f32 u0))) (neg.f32 u0))
(/.f32 (.f32 (.f32 u0 (.f32 u0 u0)) u0) (neg.f32 (.f32 u0 (*.f32 u0 u0))))
(/.f32 (.f32 (.f32 u0 (neg.f32 u0)) u0) (*.f32 u0 u0))
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(fma.f32 (.f32 u0 (.f32 u0 u0)) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0)) (.f32 (.f32 u0 (.f32 u0 u0)) (.f32 (.f32 alpha alpha) #s(literal 1/3 binary32))))
(fma.f32 (.f32 (/.f32 alpha (.f32 u0 u0)) (.f32 alpha (.f32 u0 u0))) u0 (.f32 (.f32 (.f32 u0 u0) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0))) u0))
(fma.f32 (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0)) (.f32 u0 (.f32 u0 u0)) (.f32 (.f32 (.f32 alpha alpha) #s(literal 1/3 binary32)) (.f32 u0 (.f32 u0 u0))))
(fma.f32 (.f32 u0 (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0)))) (.f32 u0 u0) (.f32 (.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) u0)))) #s(literal 0 binary32)))
(fma.f32 (.f32 u0 (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0)))) (.f32 u0 u0) (.f32 #s(literal 0 binary32) (.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) u0))))))
(/.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0)))) (.f32 u0 (.f32 u0 u0))) (.f32 u0 u0))
(/.f32 (.f32 (.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0)))) (.f32 u0 (neg.f32 u0))) (neg.f32 u0))
(/.f32 (.f32 (.f32 u0 (.f32 u0 u0)) (fma.f32 (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0)) (.f32 (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0))) (.f32 (/.f32 (.f32 alpha alpha) (.f32 u0 u0)) (/.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 (.f32 u0 u0) (.f32 u0 u0)))))) (fma.f32 (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0)) (-.f32 (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0)) (/.f32 (.f32 alpha alpha) (.f32 u0 u0))) (/.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 (.f32 u0 u0) (.f32 u0 u0)))))
(/.f32 (.f32 (.f32 u0 (.f32 u0 u0)) (-.f32 (/.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 (.f32 u0 u0) (.f32 u0 u0))) (.f32 (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0))))) (-.f32 (/.f32 (.f32 alpha alpha) (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) u0))))
(/.f32 (.f32 (.f32 u0 (.f32 u0 u0)) (.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0))))) (.f32 u0 u0))
(/.f32 (.f32 (.f32 u0 (neg.f32 u0)) (.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0))))) (neg.f32 u0))
(.f32 u0 (.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) u0)))))
(.f32 (.f32 u0 u0) (.f32 u0 (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) u0)))))
(.f32 (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0))) (.f32 u0 (*.f32 u0 u0)))
(.f32 (.f32 (.f32 u0 u0) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) u0)))) u0)
(.f32 (.f32 u0 (.f32 u0 u0)) (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) u0))))
(.f32 (.f32 u0 (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0)))) (*.f32 u0 u0))
(log1p.f32 (neg.f32 u0))
(-.f32 (log1p.f32 (neg.f32 (.f32 u0 (.f32 u0 u0)))) (log1p.f32 (fma.f32 u0 u0 u0)))
(-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))
(log.f32 (-.f32 #s(literal 1 binary32) u0))
(neg.f32 alpha)
(+.f32 #s(literal 0 binary32) (neg.f32 alpha))
(-.f32 #s(literal 0 binary32) alpha)
(/.f32 (*.f32 alpha (neg.f32 alpha)) (+.f32 #s(literal 0 binary32) alpha))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 alpha #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 alpha alpha (*.f32 #s(literal 0 binary32) alpha))))
(*.f32 alpha #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) alpha)
(+.f32 #s(literal 1/2 binary32) (*.f32 u0 #s(literal 1/3 binary32)))
(+.f32 (*.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))
(fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32))
(-.f32 (/.f32 (.f32 (.f32 u0 u0) #s(literal 1/9 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (.f32 u0 #s(literal 1/6 binary32))) (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) (fma.f32 (*.f32 u0 u0) #s(literal 1/9 binary32) #s(literal -1/4 binary32))))
(/.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32)) (-.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (.f32 u0 #s(literal 1/6 binary32))))
(/.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (.f32 (.f32 u0 u0) #s(literal 1/9 binary32)) (*.f32 u0 #s(literal 1/6 binary32)))))
(/.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/9 binary32) #s(literal -1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32))) (neg.f32 (-.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (.f32 u0 #s(literal 1/6 binary32)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/9 binary32) #s(literal -1/4 binary32))) (neg.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 u0 u0) #s(literal 1/9 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 u0 #s(literal 1/3 binary32))))
(.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (*.f32 u0 #s(literal 1/6 binary32)))))
(.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))))
(+.f32 (.f32 alpha (.f32 u0 #s(literal 1/3 binary32))) (*.f32 alpha #s(literal 1/2 binary32)))
(+.f32 (.f32 alpha #s(literal 1/2 binary32)) (.f32 alpha (*.f32 u0 #s(literal 1/3 binary32))))
(fma.f32 u0 (.f32 alpha #s(literal 1/3 binary32)) (.f32 alpha #s(literal 1/2 binary32)))
(fma.f32 alpha #s(literal 1/2 binary32) (.f32 alpha (.f32 u0 #s(literal 1/3 binary32))))
(fma.f32 alpha (.f32 u0 #s(literal 1/3 binary32)) (.f32 alpha #s(literal 1/2 binary32)))
(fma.f32 (.f32 u0 alpha) #s(literal 1/3 binary32) (.f32 alpha #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/3 binary32) (.f32 u0 alpha) (.f32 alpha #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) alpha (.f32 alpha (.f32 u0 #s(literal 1/3 binary32))))
(fma.f32 (.f32 u0 #s(literal 1/3 binary32)) alpha (.f32 alpha #s(literal 1/2 binary32)))
(fma.f32 (.f32 alpha #s(literal 1/3 binary32)) u0 (.f32 alpha #s(literal 1/2 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 alpha (.f32 u0 #s(literal 1/3 binary32))) #s(literal 3 binary32)) (pow.f32 (.f32 alpha #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 alpha (.f32 u0 #s(literal 1/3 binary32))) (.f32 alpha (.f32 u0 #s(literal 1/3 binary32))) (-.f32 (.f32 (.f32 alpha #s(literal 1/2 binary32)) (.f32 alpha #s(literal 1/2 binary32))) (.f32 (.f32 alpha (.f32 u0 #s(literal 1/3 binary32))) (.f32 alpha #s(literal 1/2 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 alpha (.f32 u0 #s(literal 1/3 binary32))) (.f32 alpha (.f32 u0 #s(literal 1/3 binary32)))) (.f32 (.f32 alpha #s(literal 1/2 binary32)) (.f32 alpha #s(literal 1/2 binary32)))) (-.f32 (.f32 alpha (.f32 u0 #s(literal 1/3 binary32))) (*.f32 alpha #s(literal 1/2 binary32))))
(/.f32 (.f32 alpha (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32))) (-.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (*.f32 u0 #s(literal 1/6 binary32))))
(/.f32 (.f32 alpha (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal -1/4 binary32))) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32)) alpha) (-.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (*.f32 u0 #s(literal 1/6 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal -1/4 binary32)) 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 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) alpha)
(.f32 alpha (.f32 alpha #s(literal 1/3 binary32)))
(.f32 (.f32 alpha alpha) #s(literal 1/3 binary32))
(.f32 #s(literal 1/3 binary32) (.f32 alpha alpha))
(.f32 (.f32 alpha #s(literal 1/3 binary32)) alpha)
(neg.f32 (/.f32 (*.f32 alpha alpha) (neg.f32 u0)))
(neg.f32 (/.f32 (*.f32 alpha (neg.f32 alpha)) u0))
(pow.f32 (/.f32 u0 (*.f32 alpha alpha)) #s(literal -1 binary32))
(/.f32 (*.f32 alpha (neg.f32 alpha)) (neg.f32 u0))
(/.f32 (*.f32 alpha alpha) u0)
(/.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 alpha alpha)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (*.f32 alpha alpha)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 u0 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (*.f32 alpha (neg.f32 alpha))) u0)
(/.f32 (/.f32 (*.f32 alpha (neg.f32 alpha)) #s(literal -1 binary32)) u0)
(*.f32 alpha (/.f32 alpha u0))
(*.f32 (neg.f32 alpha) (/.f32 alpha (neg.f32 u0)))
(.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 #s(literal -1 binary32) u0))
(.f32 (.f32 alpha alpha) (/.f32 #s(literal 1 binary32) u0))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 alpha alpha) u0))
(.f32 (/.f32 #s(literal 1 binary32) u0) (.f32 alpha alpha))
(*.f32 (/.f32 alpha u0) alpha)
(*.f32 (/.f32 alpha #s(literal -1 binary32)) (/.f32 (neg.f32 alpha) u0))
(*.f32 (/.f32 (neg.f32 alpha) #s(literal -1 binary32)) (/.f32 alpha u0))
(.f32 (/.f32 (.f32 alpha alpha) (.f32 u0 (.f32 u0 u0))) (*.f32 u0 u0))
(.f32 (/.f32 (.f32 alpha alpha) (*.f32 u0 (neg.f32 u0))) (neg.f32 u0))

simplify471.0ms (4.1%)

Memory

-12.1MiB live, 818.2MiB allocated

Algorithm

1×	egg-herbie

Rules

20 502×	`lower-fma.f64`
20 502×	`lower-fma.f32`
4 086×	`lower-*.f64`
4 086×	`lower-*.f32`
3 816×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	4498
1	614	3997
2	1869	3920
3	4464	3900
0	8179	3564

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 432

Calls

Call 1

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

Outputs
(* -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)
u0
u0
u0
u0
u0
u0
u0
u0
u0
u0
u0
u0
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))
(.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 (.f32 alpha alpha)))
(* -1 (* (pow alpha 2) (log (+ 1 (* -1 u0)))))
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eval106.0ms (0.9%)

Memory: 38.1MiB live, 185.8MiB allocated
Compiler: Compiled 26 299 to 1 983 computations (92.5% saved)

prune109.0ms (1%)

Memory

7.0MiB live, 249.3MiB allocated

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	1 138	17	1 155
Fresh	8	9	17
Picked	4	1	5
Done	1	4	5
Total	1 151	31	1 182

Accuracy

100.0%

Counts

1 182 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.2%	(fma.f32 (.f32 alpha alpha) u0 (.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 u0 u0)))
▶	77.5%	(/.f32 (.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha alpha)) (*.f32 u0 u0))
	77.5%	(/.f32 (.f32 (.f32 u0 (neg.f32 u0)) (*.f32 alpha alpha)) (neg.f32 u0))
	77.6%	(.f32 (/.f32 (.f32 (.f32 u0 (.f32 u0 u0)) alpha) (*.f32 u0 u0)) alpha)
	77.5%	(.f32 (/.f32 (.f32 (*.f32 u0 (neg.f32 u0)) alpha) (neg.f32 u0)) alpha)
	98.8%	(.f32 (.f32 (/.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)))) alpha) (log1p.f32 (neg.f32 u0)))
✓	49.2%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.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)))))
	95.1%	(.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))))
	89.8%	(.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
	98.4%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (.f32 u0 u0) (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 u0) (.f32 u0 (.f32 u0 u0))))))))
	98.4%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (.f32 (/.f32 #s(literal -1 binary32) u0) (.f32 u0 u0))))
✓	98.9%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
▶	99.0%	(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
	93.5%	(.f32 (.f32 u0 (fma.f32 alpha (/.f32 alpha (.f32 u0 u0)) (fma.f32 alpha (.f32 alpha #s(literal 1/3 binary32)) (/.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) u0)))) (*.f32 u0 u0))
	93.6%	(.f32 (.f32 u0 alpha) (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
✓	77.7%	(.f32 (.f32 alpha u0) alpha)
	93.6%	(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0))
	89.9%	(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
	95.1%	(.f32 u0 (fma.f32 u0 (.f32 (.f32 u0 (.f32 alpha alpha)) (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)))))
	95.4%	(.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)))
	90.0%	(.f32 u0 (fma.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 alpha alpha)))
✓	93.7%	(.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)))
	93.9%	(.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)))))
	90.1%	(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
	93.5%	(.f32 u0 (.f32 (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) alpha))
	93.4%	(.f32 u0 (.f32 (.f32 alpha alpha) (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
▶	89.8%	(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
✓	77.7%	(.f32 u0 (.f32 alpha alpha))
	93.7%	(.f32 alpha (fma.f32 (.f32 (.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0) u0 (.f32 u0 alpha)))
▶	93.5%	(.f32 alpha (.f32 (*.f32 u0 alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
	93.6%	(.f32 alpha (.f32 (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) u0))

Compiler

Compiled 923 to 544 computations (41.1% saved)

simplify298.0ms (2.6%)

Memory

-8.9MiB live, 439.0MiB 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	0	(.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha alpha))
✓	cost-diff	832	(/.f32 (.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha alpha)) (*.f32 u0 u0))
✓	cost-diff	0	(.f32 (.f32 alpha alpha) #s(literal 1/2 binary32))
✓	cost-diff	0	(.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 u0 u0))
✓	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	320	(fma.f32 (.f32 alpha alpha) u0 (.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 u0 u0)))
✓	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 u0 alpha)
✓	cost-diff	0	(.f32 (.f32 u0 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 (*.f32 u0 alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
✓	cost-diff	0	(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))
✓	cost-diff	0	(*.f32 alpha alpha)
✓	cost-diff	0	(.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))
✓	cost-diff	0	(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
✓	cost-diff	0	(neg.f32 u0)
✓	cost-diff	0	(log1p.f32 (neg.f32 u0))
✓	cost-diff	0	(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha))
✓	cost-diff	0	(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)

Rules

10 872×	`lower-fma.f64`
10 864×	`lower-fma.f32`
4 118×	`lower-*.f64`
4 092×	`lower-*.f32`
1 722×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	167
0	52	157
1	130	157
2	363	151
3	951	151
4	2671	151
5	4339	151
6	6495	151
0	8143	151

Stop Event

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

Calls

Call 1

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

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

localize349.0ms (3%)

Memory

-18.7MiB live, 139.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	99.1%	(.f32 u0 (.f32 u0 u0))
✓	accuracy	99.0%	(/.f32 (.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha alpha)) (*.f32 u0 u0))
✓	accuracy	98.9%	(.f32 (.f32 u0 (.f32 u0 u0)) (.f32 alpha alpha))
✓	accuracy	100.0%	(*.f32 u0 u0)
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	99.3%	(fma.f32 (.f32 alpha alpha) u0 (.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 u0 u0)))
✓	accuracy	98.8%	(.f32 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)) (.f32 u0 u0))
✓	accuracy	100.0%	(fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
✓	accuracy	100.0%	(*.f32 u0 alpha)
✓	accuracy	99.3%	(.f32 alpha (.f32 (*.f32 u0 alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
✓	accuracy	98.9%	(.f32 (.f32 u0 alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
✓	accuracy	100.0%	(fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))
✓	accuracy	100.0%	(*.f32 alpha alpha)
✓	accuracy	99.2%	(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
✓	accuracy	99.0%	(.f32 (.f32 alpha 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 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha))
✓	accuracy	99.2%	(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)

Samples

73.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 186 to 32 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 45.0ms (75.2% of total)

const: 4.0ms (6.7% of total)

ival-add: 4.0ms (6.7% of total)

ival-div: 2.0ms (3.3% of total)

ival-neg: 2.0ms (3.3% of total)

ival-log1p: 2.0ms (3.3% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series28.0ms (0.2%)

Memory

7.4MiB live, 45.1MiB allocated

Counts

21 → 384

Calls

Call 1

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

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

Calls

96 calls:

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

rewrite448.0ms (3.9%)

Memory

-9.7MiB live, 509.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 116×	`lower-fma.f64`
6 108×	`lower-fma.f32`
4 088×	`lower-*.f64`
4 062×	`lower-*.f32`
3 192×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	142
0	52	132
1	198	130
2	1352	120
0	9224	120

Stop Event

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

Counts

21 → 1 327

Calls

Call 1

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

Outputs
(neg.f32 (.f32 (.f32 (log1p.f32 u0) alpha) alpha))
(neg.f32 (.f32 alpha (.f32 (log1p.f32 u0) alpha)))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 u0)))
(neg.f32 (.f32 (log1p.f32 u0) (.f32 alpha alpha)))
(-.f32 #s(literal 0 binary32) (.f32 (.f32 (log1p.f32 u0) alpha) alpha))
(-.f32 #s(literal 0 binary32) (.f32 alpha (.f32 (log1p.f32 u0) alpha)))
(.f32 (log1p.f32 u0) (.f32 alpha (neg.f32 alpha)))
(.f32 alpha (neg.f32 (.f32 (log1p.f32 u0) alpha)))
(.f32 (neg.f32 alpha) (.f32 (log1p.f32 u0) alpha))
(.f32 (neg.f32 (.f32 (log1p.f32 u0) alpha)) alpha)
(.f32 #s(literal -1 binary32) (.f32 (*.f32 (log1p.f32 u0) alpha) alpha))
(.f32 #s(literal -1 binary32) (.f32 alpha (*.f32 (log1p.f32 u0) alpha)))
(.f32 (.f32 (log1p.f32 u0) alpha) (neg.f32 alpha))
(.f32 (.f32 alpha (neg.f32 alpha)) (log1p.f32 u0))
(neg.f32 (*.f32 (log1p.f32 u0) alpha))
(+.f32 #s(literal 0 binary32) (neg.f32 (*.f32 (log1p.f32 u0) alpha)))
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(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 alpha alpha #s(literal 0 binary32))) (/.f32 (.f32 alpha (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 0 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) alpha) (/.f32 (*.f32 alpha alpha) alpha))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 0 binary32)) (neg.f32 (.f32 alpha (.f32 alpha alpha)))))
(/.f32 #s(literal 1 binary32) (/.f32 alpha (*.f32 alpha (neg.f32 alpha))))
(/.f32 (*.f32 alpha (neg.f32 alpha)) alpha)
(/.f32 (neg.f32 (.f32 alpha (.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 0 binary32)))
(/.f32 (neg.f32 (*.f32 alpha (neg.f32 alpha))) (neg.f32 alpha))
(/.f32 (neg.f32 (neg.f32 (.f32 alpha (.f32 alpha alpha)))) (neg.f32 (fma.f32 alpha alpha #s(literal 0 binary32))))
(/.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 (-.f32 #s(literal 0 binary32) (*.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)
(.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 #s(literal 1 binary32) alpha))
(.f32 (neg.f32 (.f32 alpha (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 0 binary32))))
(neg.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32)))
(neg.f32 (/.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32)) (neg.f32 (+.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (.f32 u0 #s(literal 1/6 binary32))))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32))) (+.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (.f32 u0 #s(literal 1/6 binary32)))))
(neg.f32 (/.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))))
(+.f32 #s(literal 1/2 binary32) (*.f32 u0 #s(literal 1/3 binary32)))
(+.f32 (*.f32 u0 #s(literal 1/3 binary32)) #s(literal 1/2 binary32))
(+.f32 (/.f32 (.f32 (.f32 u0 u0) #s(literal 1/9 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 (/.f32 #s(literal 1/4 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (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))
(fma.f32 u0 #s(literal -1/3 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32))
(fma.f32 (.f32 (.f32 u0 u0) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))) (neg.f32 (/.f32 #s(literal 1/4 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32)))))
(fma.f32 #s(literal -1 binary32) (*.f32 u0 #s(literal 1/3 binary32)) #s(literal 1/2 binary32))
(fma.f32 #s(literal -1/3 binary32) u0 #s(literal 1/2 binary32))
(-.f32 #s(literal 1/2 binary32) (*.f32 u0 #s(literal 1/3 binary32)))
(-.f32 #s(literal 0 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32)))
(-.f32 (/.f32 (.f32 (.f32 u0 u0) #s(literal 1/9 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))))
(-.f32 (/.f32 #s(literal 1/4 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 (.f32 u0 u0) #s(literal 1/9 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) (.f32 u0 #s(literal 1/6 binary32)))) (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 u0 u0) #s(literal 1/9 binary32)))))
(/.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32)) (+.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (.f32 u0 #s(literal 1/6 binary32))))
(/.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) (.f32 u0 #s(literal 1/6 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))))
(/.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/9 binary32) #s(literal -1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32)))
(/.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/9 binary32) #s(literal -1/4 binary32)) (neg.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32))) (neg.f32 (+.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (.f32 u0 #s(literal 1/6 binary32)))))
(/.f32 (neg.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) (.f32 u0 #s(literal 1/6 binary32))))))
(/.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal -1/8 binary32)) (neg.f32 (+.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (.f32 u0 #s(literal 1/6 binary32)))))
(/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 u0 u0) #s(literal 1/9 binary32))) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (.f32 u0 u0) #s(literal 1/9 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))) (.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (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))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 u0 (.f32 u0 u0)) (.f32 (.f32 u0 u0) (.f32 (.f32 u0 u0) (.f32 u0 u0)))) #s(literal 1/19683 binary32) #s(literal 1/512 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (.f32 u0 u0) (.f32 (.f32 u0 u0) (.f32 u0 u0))) #s(literal 1/729 binary32) (-.f32 #s(literal 1/64 binary32) (.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/216 binary32)))) (+.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (.f32 u0 #s(literal 1/6 binary32)))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 u0 u0) (.f32 (.f32 u0 u0) (.f32 u0 u0))) #s(literal 1/729 binary32) #s(literal -1/64 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal -1/8 binary32)) (+.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (*.f32 u0 #s(literal 1/6 binary32)))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 u0 u0) (.f32 (.f32 u0 u0) (.f32 u0 u0))) #s(literal 1/729 binary32) #s(literal -1/64 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (.f32 u0 u0) (.f32 u0 u0)) #s(literal 1/81 binary32) (+.f32 #s(literal 1/16 binary32) (.f32 (.f32 u0 u0) #s(literal 1/36 binary32)))) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 u0 u0) (.f32 u0 u0)) #s(literal 1/81 binary32) #s(literal -1/16 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))))
(/.f32 (neg.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal -1/8 binary32))) (+.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (.f32 u0 #s(literal 1/6 binary32))))
(/.f32 (neg.f32 (fma.f32 (*.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32))) (neg.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32)))) (neg.f32 (neg.f32 (+.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (.f32 u0 #s(literal 1/6 binary32))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 u0 u0) #s(literal 1/9 binary32)))) (neg.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 u0 u0) #s(literal 1/9 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/4 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 (.f32 u0 u0) #s(literal 1/9 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 (.f32 u0 u0) #s(literal 1/9 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 (*.f32 u0 u0) #s(literal 1/9 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32)))))))
(/.f32 (-.f32 #s(literal 1/8 binary32) (.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32))) (+.f32 #s(literal 1/4 binary32) (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) (*.f32 u0 #s(literal 1/6 binary32)))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 u0 u0) #s(literal 1/9 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 (.f32 u0 u0) #s(literal 1/9 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 (/.f32 #s(literal 1/4 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))))) (+.f32 (/.f32 (.f32 (.f32 u0 u0) #s(literal 1/9 binary32)) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32)))))
(*.f32 #s(literal 1 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
(*.f32 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (*.f32 u0 #s(literal 1/6 binary32)))))
(.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/4 binary32) (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) (*.f32 u0 #s(literal 1/6 binary32))))))
(*.f32 #s(literal -1 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32)))
(.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal -1/2 binary32))))
(.f32 (neg.f32 (fma.f32 (.f32 u0 (.f32 u0 u0)) #s(literal 1/27 binary32) #s(literal 1/8 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (*.f32 u0 #s(literal 1/6 binary32))))))
(.f32 (fma.f32 (.f32 u0 u0) #s(literal 1/9 binary32) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
(.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (*.f32 u0 u0) #s(literal 1/9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))

simplify648.0ms (5.7%)

Memory

46.5MiB live, 633.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20 966×	`lower-fma.f64`
20 966×	`lower-fma.f32`
4 800×	`lower-*.f64`
4 800×	`lower-*.f32`
3 664×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	3245
1	729	3107
2	2209	3021
3	5120	3002
0	8428	2781

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

eval332.0ms (2.9%)

Memory: -12.5MiB live, 378.5MiB allocated
Compiler: Compiled 39 674 to 3 083 computations (92.2% saved)

prune401.0ms (3.5%)

Memory

1.3MiB live, 481.6MiB allocated

Pruning

38 alts after pruning (31 fresh and 7 done)

	Pruned	Kept	Total
New	1 845	22	1 867
Fresh	12	9	21
Picked	2	3	5
Done	1	4	5
Total	1 860	38	1 898

Accuracy

100.0%

Counts

1 898 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.6%	(/.f32 (.f32 (.f32 u0 (.f32 (.f32 u0 u0) alpha)) alpha) (*.f32 u0 u0))
	77.7%	(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1 binary32) u0))
	90.0%	(.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (.f32 u0 (*.f32 alpha alpha)))
	93.8%	(.f32 (fma.f32 alpha (.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha) (*.f32 u0 alpha))
	77.5%	(.f32 (/.f32 (.f32 alpha alpha) u0) (*.f32 u0 u0))
	95.2%	(.f32 (.f32 (*.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))) (neg.f32 alpha)) alpha)
	89.9%	(.f32 (.f32 (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) (neg.f32 alpha)) alpha)
	95.1%	(.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))))
	98.4%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (.f32 u0 u0) (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 u0) (.f32 u0 (.f32 u0 u0))))))))
	98.4%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (.f32 (/.f32 #s(literal -1 binary32) u0) (.f32 u0 u0))))
✓	98.9%	(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
	98.8%	(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (/.f32 (neg.f32 (.f32 alpha (.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 0 binary32)))) alpha)
	98.6%	(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (.f32 (neg.f32 (.f32 alpha (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 0 binary32))))) alpha)
✓	99.0%	(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
	95.4%	(.f32 (.f32 u0 (fma.f32 u0 (fma.f32 alpha #s(literal 1/2 binary32) (.f32 u0 (.f32 alpha (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) alpha)) alpha)
	89.8%	(.f32 (.f32 u0 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (*.f32 alpha alpha))
	90.0%	(.f32 (.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha)
	90.0%	(.f32 (.f32 u0 alpha) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))
	93.6%	(.f32 (.f32 u0 alpha) (*.f32 alpha (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
	90.0%	(.f32 (.f32 alpha (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) u0)
✓	77.7%	(.f32 (.f32 alpha u0) alpha)
	93.6%	(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u0))
	89.9%	(.f32 (.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
	90.0%	(.f32 u0 (fma.f32 (.f32 (.f32 u0 #s(literal 1/2 binary32)) alpha) alpha (.f32 alpha alpha)))
	95.1%	(.f32 u0 (fma.f32 u0 (.f32 (.f32 u0 (.f32 alpha alpha)) (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)))))
	95.4%	(.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)))
✓	93.7%	(.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)))
	95.4%	(.f32 u0 (fma.f32 alpha (fma.f32 alpha (.f32 u0 #s(literal 1/2 binary32)) alpha) (.f32 (.f32 (.f32 alpha alpha) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 u0 u0))))
	90.1%	(.f32 u0 (fma.f32 alpha alpha (.f32 u0 (.f32 (.f32 alpha alpha) #s(literal 1/2 binary32)))))
	93.7%	(.f32 u0 (.f32 (fma.f32 alpha (*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) alpha) alpha))
✓	89.8%	(.f32 u0 (.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))
	90.9%	(.f32 u0 (.f32 (.f32 alpha alpha) (-.f32 (/.f32 (.f32 (*.f32 u0 u0) #s(literal 1/4 binary32)) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal -1 binary32))))))
	90.8%	(.f32 u0 (.f32 (.f32 alpha alpha) (neg.f32 (/.f32 (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))))))
✓	77.7%	(.f32 u0 (.f32 alpha alpha))
	93.5%	(.f32 alpha (.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u0) alpha))
	93.4%	(.f32 alpha (.f32 (.f32 u0 alpha) (fma.f32 (.f32 u0 u0) #s(literal 1/3 binary32) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
✓	93.5%	(.f32 alpha (.f32 (*.f32 u0 alpha) (fma.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
	89.8%	(.f32 alpha (.f32 (*.f32 u0 alpha) (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32))))

Compiler

Compiled 1 807 to 648 computations (64.1% saved)

regimes176.0ms (1.5%)

Memory

-42.0MiB live, 227.2MiB allocated

Counts

72 → 1

Calls

Call 1

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

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

Calls

6 calls:

35.0ms	(-.f32 #s(literal 1 binary32) u0)
32.0ms	u0
28.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
25.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))
25.0ms	(*.f32 (neg.f32 alpha) alpha)

Results

Accuracy	Segments	Branch
99.0%	1	`alpha`
99.0%	1	`u0`
99.0%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
99.0%	1	`(*.f32 (neg.f32 alpha) alpha)`
99.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
99.0%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes94.0ms (0.8%)

Memory

6.7MiB live, 164.1MiB allocated

Counts

54 → 1

Calls

Call 1

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

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

Calls

6 calls:

17.0ms	alpha
17.0ms	u0
16.0ms	(*.f32 (neg.f32 alpha) alpha)
15.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))
14.0ms	(-.f32 #s(literal 1 binary32) u0)

Results

Accuracy	Segments	Branch
95.4%	1	`alpha`
95.4%	1	`u0`
95.4%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
95.4%	1	`(*.f32 (neg.f32 alpha) alpha)`
95.4%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
95.4%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes81.0ms (0.7%)

Memory

27.6MiB live, 184.4MiB allocated

Counts

46 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
95.4%	1	`u0`
95.4%	1	`alpha`
95.4%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
95.4%	1	`(*.f32 (neg.f32 alpha) alpha)`
95.4%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
95.4%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes84.0ms (0.7%)

Memory

-23.6MiB live, 136.0MiB allocated

Counts

44 → 1

Calls

Call 1

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

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

Calls

6 calls:

17.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
14.0ms	alpha
14.0ms	(-.f32 #s(literal 1 binary32) u0)
14.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))
12.0ms	(*.f32 (neg.f32 alpha) alpha)

Results

Accuracy	Segments	Branch
95.4%	1	`alpha`
95.4%	1	`u0`
95.4%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
95.4%	1	`(*.f32 (neg.f32 alpha) alpha)`
95.4%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
95.4%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes110.0ms (1%)

Memory

1.7MiB live, 120.4MiB allocated

Counts

43 → 1

Calls

Call 1

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

Outputs
(.f32 (.f32 (*.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))) (neg.f32 alpha)) alpha)

Calls

6 calls:

45.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
15.0ms	alpha
13.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))
12.0ms	(*.f32 (neg.f32 alpha) alpha)
12.0ms	u0

Results

Accuracy	Segments	Branch
95.2%	1	`alpha`
95.2%	1	`u0`
95.2%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
95.2%	1	`(*.f32 (neg.f32 alpha) alpha)`
95.2%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
95.2%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes64.0ms (0.6%)

Memory

16.1MiB live, 131.1MiB allocated

Counts

36 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
95.1%	1	`u0`
95.1%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
95.1%	1	`(*.f32 (neg.f32 alpha) alpha)`
95.1%	1	`alpha`
95.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
95.1%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes67.0ms (0.6%)

Memory

-17.4MiB live, 184.4MiB allocated

Counts

35 → 1

Calls

Call 1

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

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:

12.0ms	(-.f32 #s(literal 1 binary32) u0)
11.0ms	(*.f32 (neg.f32 alpha) alpha)
10.0ms	u0
10.0ms	alpha
10.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))

Results

Accuracy	Segments	Branch
93.9%	1	`alpha`
93.9%	1	`u0`
93.9%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
93.9%	1	`(*.f32 (neg.f32 alpha) alpha)`
93.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
93.9%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes58.0ms (0.5%)

Memory

34.5MiB live, 151.7MiB allocated

Counts

33 → 1

Calls

Call 1

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
93.8%	1	`alpha`
93.8%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
93.8%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
93.8%	1	`(-.f32 #s(literal 1 binary32) u0)`
93.8%	1	`u0`
93.8%	1	`(*.f32 (neg.f32 alpha) alpha)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes53.0ms (0.5%)

Memory

-13.5MiB live, 107.4MiB allocated

Counts

24 → 1

Calls

Call 1

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

Calls

6 calls:

16.0ms	alpha
8.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))
7.0ms	(*.f32 (neg.f32 alpha) alpha)
7.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
7.0ms	u0

Results

Accuracy	Segments	Branch
93.7%	1	`u0`
93.7%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
93.7%	1	`(*.f32 (neg.f32 alpha) alpha)`
93.7%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
93.7%	1	`(-.f32 #s(literal 1 binary32) u0)`
93.7%	1	`alpha`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes41.0ms (0.4%)

Memory

5.4MiB live, 87.5MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

6 calls:

8.0ms	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
93.6%	1	`u0`
93.6%	1	`alpha`
93.6%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
93.6%	1	`(*.f32 (neg.f32 alpha) alpha)`
93.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
93.6%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes70.0ms (0.6%)

Memory

-14.0MiB live, 63.6MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

6 calls:

33.0ms	(*.f32 (neg.f32 alpha) alpha)
16.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))
5.0ms	alpha
5.0ms	u0
5.0ms	(-.f32 #s(literal 1 binary32) u0)

Results

Accuracy	Segments	Branch
90.1%	1	`u0`
90.1%	1	`(*.f32 (neg.f32 alpha) alpha)`
90.1%	1	`alpha`
90.1%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
90.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
90.1%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes28.0ms (0.2%)

Memory

-10.1MiB live, 70.5MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	(*.f32 (neg.f32 alpha) alpha)
5.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
4.0ms	alpha
4.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))
4.0ms	(-.f32 #s(literal 1 binary32) u0)

Results

Accuracy	Segments	Branch
90.0%	1	`(*.f32 (neg.f32 alpha) alpha)`
90.0%	1	`u0`
90.0%	1	`alpha`
90.0%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
90.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
90.0%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes17.0ms (0.1%)

Memory

36.7MiB live, 36.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
90.0%	1	`(*.f32 (neg.f32 alpha) alpha)`
90.0%	1	`alpha`
90.0%	1	`u0`
90.0%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
90.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
90.0%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes15.0ms (0.1%)

Memory

-0.5MiB live, 38.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
89.9%	1	`(*.f32 (neg.f32 alpha) alpha)`
89.9%	1	`alpha`
89.9%	1	`u0`
89.9%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
89.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
89.9%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes15.0ms (0.1%)

Memory

2.9MiB live, 40.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
89.8%	1	`(*.f32 (neg.f32 alpha) alpha)`
89.8%	1	`alpha`
89.8%	1	`u0`
89.8%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
89.8%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
89.8%	1	`(-.f32 #s(literal 1 binary32) u0)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes13.0ms (0.1%)

Memory

1.5MiB live, 40.7MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
(.f32 alpha (.f32 (*.f32 u0 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
89.8%	1	`(*.f32 (neg.f32 alpha) alpha)`
89.8%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
89.8%	1	`(-.f32 #s(literal 1 binary32) u0)`
89.8%	1	`alpha`
89.8%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
89.8%	1	`u0`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes12.0ms (0.1%)

Memory

-18.0MiB live, 23.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
2.0ms	(*.f32 (neg.f32 alpha) alpha)
2.0ms	alpha
1.0ms	(-.f32 #s(literal 1 binary32) u0)
1.0ms	u0

Results

Accuracy	Segments	Branch
77.7%	1	`(*.f32 (neg.f32 alpha) alpha)`
77.7%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
77.7%	1	`(-.f32 #s(literal 1 binary32) u0)`
77.7%	1	`alpha`
77.7%	1	`u0`
77.7%	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

-12.9MiB live, 25.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	u0
1.0ms	(*.f32 (neg.f32 alpha) alpha)
1.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))
1.0ms	alpha
1.0ms	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))

Results

Accuracy	Segments	Branch
77.7%	1	`(*.f32 (neg.f32 alpha) alpha)`
77.7%	1	`u0`
77.7%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
77.7%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
77.7%	1	`(-.f32 #s(literal 1 binary32) u0)`
77.7%	1	`alpha`

Compiler

Compiled 34 to 25 computations (26.5% saved)

simplify13.0ms (0.1%)

Memory

-3.8MiB live, 35.1MiB allocated

Algorithm

1×	egg-herbie

Rules

114×	`*-commutative_binary32`
28×	`neg-sub0_binary32`
28×	`neg-mul-1_binary32`
22×	`sub-neg_binary32`
22×	`+-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	228
1	128	228
2	158	228
3	195	228
4	210	228
5	217	228
6	218	228

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.9s (16.2%)

Memory

28.2MiB live, 1 747.3MiB allocated

Rules

20 966×	`lower-fma.f64`
20 966×	`lower-fma.f32`
20 502×	`lower-fma.f64`
20 502×	`lower-fma.f32`
16 992×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	4498
1	614	3997
2	1869	3920
3	4464	3900
0	8179	3564
0	37	189
0	73	162
1	286	131
2	2194	128
0	8537	128
0	26	142
0	52	132
1	198	130
2	1352	120
0	9224	120
0	229	3245
1	729	3107
2	2209	3021
3	5120	3002
0	8428	2781
0	112	562
1	307	535
2	805	502
3	2108	490
4	5927	483
0	8142	455
0	676	7321
1	2214	6867
2	7845	6808
0	8617	6335
0	32	218
0	64	206
1	263	192
0	2443	192
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×	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×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 905 to 492 computations (45.6% saved)

preprocess90.0ms (0.8%)

Memory: -14.7MiB live, 216.6MiB allocated
Remove: (abs alpha)
Compiler: Compiled 722 to 328 computations (54.6% 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

analyze96.0ms (0.8%)

sample1.8s (16.1%)

preprocess40.0ms (0.4%)

explain90.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize27.0ms (0.2%)

series50.0ms (0.4%)

rewrite330.0ms (2.9%)

simplify407.0ms (3.5%)

eval23.0ms (0.2%)

prune200.0ms (1.7%)

simplify263.0ms (2.3%)

localize136.0ms (1.2%)

series143.0ms (1.3%)

rewrite331.0ms (2.9%)

simplify407.0ms (3.6%)

eval200.0ms (1.7%)

prune190.0ms (1.7%)

simplify209.0ms (1.8%)

localize135.0ms (1.2%)

series41.0ms (0.4%)

rewrite134.0ms (1.2%)

simplify471.0ms (4.1%)

eval106.0ms (0.9%)

prune109.0ms (1%)

simplify298.0ms (2.6%)

localize349.0ms (3%)

series28.0ms (0.2%)

rewrite448.0ms (3.9%)

simplify648.0ms (5.7%)

eval332.0ms (2.9%)

prune401.0ms (3.5%)

regimes176.0ms (1.5%)

regimes94.0ms (0.8%)

regimes81.0ms (0.7%)

regimes84.0ms (0.7%)

regimes110.0ms (1%)

regimes64.0ms (0.6%)

regimes67.0ms (0.6%)

regimes58.0ms (0.5%)

regimes53.0ms (0.5%)

regimes41.0ms (0.4%)

regimes70.0ms (0.6%)

regimes28.0ms (0.2%)

regimes17.0ms (0.1%)

regimes15.0ms (0.1%)

regimes15.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

simplify13.0ms (0.1%)

soundness1.9s (16.2%)

preprocess90.0ms (0.8%)

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