Beckmann Distribution sample, tan2theta, alphax == alphay

Time bar (total: 11.1s)

analyze83.0ms (0.7%)

Memory
0.8MiB live, 138.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample1.7s (15.2%)

Memory
-125.0MiB live, 2 047.5MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
const: 518.0ms (44.7% of total)
ival-<=: 232.0ms (20% of total)
ival-log: 166.0ms (14.3% of total)
ival-mult: 115.0ms (9.9% of total)
ival-neg: 62.0ms (5.3% of total)
ival-sub: 38.0ms (3.3% of total)
ival-and: 21.0ms (1.8% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess36.0ms (0.3%)

Memory
5.7MiB live, 44.6MiB allocated
Algorithm
2×egg-herbie
Rules
204×associate-*r*
144×distribute-lft-neg-in
120×associate-*l*
110×distribute-lft-in
108×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02158
16852
218252
343752
474852
585352
689252
789952
890152
990152
089
1219
2439
3879
41139
51329
61729
71919
81979
92039
102039
02038
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* (* (neg alpha) alpha) (log (- 1 u0)))
Outputs
(* (* (neg alpha) alpha) (log (- 1 u0)))
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
Call 2
Inputs
(* (* (neg alpha) alpha) (log (- 1 u0)))
(* (* (neg (neg alpha)) (neg alpha)) (log (- 1 u0)))
(* (* (neg alpha) alpha) (log (- 1 (neg u0))))
(neg (* (* (neg (neg alpha)) (neg alpha)) (log (- 1 u0))))
(neg (* (* (neg alpha) alpha) (log (- 1 (neg u0)))))
(* (* (neg u0) u0) (log (- 1 alpha)))
Outputs
(* (* (neg alpha) alpha) (log (- 1 u0)))
(* (* alpha (neg alpha)) (log (- 1 u0)))
(* (* (neg (neg alpha)) (neg alpha)) (log (- 1 u0)))
(* (* alpha (neg alpha)) (log (- 1 u0)))
(* (* (neg alpha) alpha) (log (- 1 (neg u0))))
(* (* alpha (neg alpha)) (log (+ 1 u0)))
(neg (* (* (neg (neg alpha)) (neg alpha)) (log (- 1 u0))))
(* (log (- 1 u0)) (* alpha alpha))
(neg (* (* (neg alpha) alpha) (log (- 1 (neg u0)))))
(* (log (+ 1 u0)) (* alpha alpha))
(* (* (neg u0) u0) (log (- 1 alpha)))
(* (* u0 (neg u0)) (log (- 1 alpha)))
Symmetry

(abs alpha)

explain90.0ms (0.8%)

Memory
-18.0MiB live, 217.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1958(0.1456400454044342 0.0008517506648786366)2(0.009254034608602524 0.015498550608754158)(log.f32 (-.f32 #s(literal 1 binary32) u0))
00-0-u0
00-0-#s(literal 1 binary32)
00-0-(neg.f32 alpha)
00-0-(*.f32 (neg.f32 alpha) alpha)
00-0-alpha
00-0-(-.f32 #s(literal 1 binary32) u0)
00-0-(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32(log.f32 (-.f32 #s(literal 1 binary32) u0))sensitivity20110
Confusion
Predicted +Predicted -
+1913
-1052
Precision
0.9502487562189055
Recall
0.9845360824742269
Confusion?
Predicted +Predicted MaybePredicted -
+19130
-10745
Precision?
0.919431279620853
Recall?
1.0
Freqs
test
numberfreq
055
1201
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-log: 8.0ms (37.1% of total)
ival-mult: 7.0ms (32.5% of total)
ival-sub: 3.0ms (13.9% of total)
ival-neg: 2.0ms (9.3% 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
StatusAccuracyProgram
▶57.6%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify9.0ms (0.1%)

Memory
20.7MiB live, 20.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f32 alpha)
✓cost-diff0
(*.f32 (neg.f32 alpha) alpha)
✓cost-diff0
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
✓cost-diff32
(log.f32 (-.f32 #s(literal 1 binary32) u0))
Rules
74×accelerator-lowering-fma.f32
74×accelerator-lowering-fma.f64
70×*-lowering-*.f32
70×*-lowering-*.f64
64×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
12125
24325
38725
411325
513225
617225
719125
819725
920325
1020325
020323
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* (neg alpha) alpha) (log (- 1 u0)))
(* (neg alpha) alpha)
(neg alpha)
alpha
(log (- 1 u0))
(- 1 u0)
1
u0
Outputs
(* (* (neg alpha) alpha) (log (- 1 u0)))
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
(* (neg alpha) alpha)
(*.f32 alpha (neg.f32 alpha))
(neg alpha)
(neg.f32 alpha)
alpha
(log (- 1 u0))
(log1p.f32 (neg.f32 u0))
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
1
#s(literal 1 binary32)
u0

localize31.0ms (0.3%)

Memory
1.2MiB live, 77.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f32 (neg.f32 alpha) alpha)
✓accuracy100.0%
(neg.f32 alpha)
✓accuracy99.0%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
✓accuracy57.4%
(log.f32 (-.f32 #s(literal 1 binary32) u0))
Samples
20.0ms256×0valid
Compiler

Compiled 27 to 10 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-log: 4.0ms (30.8% of total)
ival-neg: 4.0ms (30.8% of total)
ival-mult: 3.0ms (23.1% of total)
ival-sub: 1.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series58.0ms (0.5%)

Memory
-64.0MiB live, 95.4MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#<alt (log (- 1 u0))>
#<alt (* (* (neg alpha) alpha) (log (- 1 u0)))>
#<alt (* (neg alpha) alpha)>
#<alt (neg 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:

TimeVariablePointExpression
31.0ms
alpha
@0
(* (* (neg alpha) alpha) (log (- 1 u0)))
23.0ms
u0
@0
(* (* (neg alpha) alpha) (log (- 1 u0)))
0.0ms
alpha
@inf
(* (* (neg alpha) alpha) (log (- 1 u0)))
0.0ms
u0
@0
(log (- 1 u0))
0.0ms
u0
@inf
(* (* (neg alpha) alpha) (log (- 1 u0)))

rewrite267.0ms (2.4%)

Memory
48.3MiB live, 472.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 030×accelerator-lowering-fma.f32
4 030×accelerator-lowering-fma.f64
3 674×/-lowering-/.f32
3 674×/-lowering-/.f64
3 022×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
13419
217519
3130919
0947915
Stop Event
1×iter limit
1×node limit
Counts
4 → 184
Calls
Call 1
Inputs
(log (- 1 u0))
(* (* (neg alpha) alpha) (log (- 1 u0)))
(* (neg alpha) alpha)
(neg 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 (neg.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 u0 u0 u0)))))
(+.f32 (log.f32 (neg.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (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 (*.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)))
(+.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)) (neg.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32))))) (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))))
(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 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))))) #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 u0 (fma.f32 u0 u0 #s(literal 1 binary32))) (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 u0 (fma.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 u0 (*.f32 u0 u0) #s(literal 1 binary32)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))))
(-.f32 (log1p.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (log.f32 (*.f32 (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))) (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 (*.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 (neg.f32 (*.f32 u0 (*.f32 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))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (fma.f32 u0 u0 #s(literal 1 binary32)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (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 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (neg.f32 alpha) (*.f32 (log1p.f32 u0) alpha)) (*.f32 (neg.f32 alpha) (*.f32 (log1p.f32 u0) alpha)))) (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 alpha) (*.f32 (log1p.f32 u0) alpha))))
(*.f32 (log1p.f32 u0) (neg.f32 (*.f32 alpha alpha)))
(*.f32 alpha (neg.f32 (*.f32 (log1p.f32 u0) alpha)))
(*.f32 (neg.f32 alpha) (*.f32 (log1p.f32 u0) alpha))
(*.f32 (neg.f32 (*.f32 alpha 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) (neg.f32 (*.f32 alpha 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 (neg.f32 (*.f32 alpha 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) (neg.f32 (*.f32 alpha alpha)))
(-.f32 #s(literal 0 binary32) (*.f32 alpha alpha))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (*.f32 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 (neg.f32 (*.f32 alpha 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 (neg.f32 (*.f32 alpha 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 (neg.f32 (*.f32 alpha alpha))) alpha)
(/.f32 (*.f32 alpha (neg.f32 (*.f32 alpha (*.f32 alpha alpha)))) (*.f32 alpha alpha))
(/.f32 (*.f32 (neg.f32 (*.f32 alpha 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 alpha alpha)))) (neg.f32 (*.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 (*.f32 alpha (neg.f32 (*.f32 alpha alpha)))) (neg.f32 alpha))
(/.f32 (neg.f32 (*.f32 alpha (neg.f32 (*.f32 alpha (*.f32 alpha alpha))))) (neg.f32 (*.f32 alpha alpha)))
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) alpha)) (neg.f32 alpha))
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) alpha)) (neg.f32 (*.f32 alpha alpha)))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (*.f32 alpha alpha)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))) (*.f32 #s(literal 0 binary32) (neg.f32 (*.f32 alpha alpha))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha 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 (neg.f32 (*.f32 alpha 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 (neg.f32 (*.f32 alpha 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 (neg.f32 (*.f32 alpha 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) (neg.f32 (*.f32 alpha 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 (neg.f32 (*.f32 alpha 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)) (neg.f32 (*.f32 alpha 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 (neg.f32 (*.f32 alpha 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) (neg.f32 (*.f32 alpha alpha))))
(*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))

simplify383.0ms (3.5%)

Memory
-8.3MiB live, 596.5MiB allocated
Algorithm
1×egg-herbie
Rules
16 992×accelerator-lowering-fma.f32
16 992×accelerator-lowering-fma.f64
4 436×*-lowering-*.f32
4 436×*-lowering-*.f64
1 926×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112562
1307535
2805502
32108490
45927483
08142455
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)

eval22.0ms (0.2%)

Memory
-30.4MiB live, 51.5MiB allocated
Compiler

Compiled 4 851 to 733 computations (84.9% saved)

prune44.0ms (0.4%)

Memory
35.0MiB live, 111.8MiB allocated
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New22222244
Fresh000
Picked011
Done000
Total22223245
Accuracy
99.6%
Counts
245 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(*.f32 (/.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) alpha) (*.f32 alpha alpha)) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
57.6%
(*.f32 (/.f32 (neg.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
57.6%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) (neg.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))))) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
82.5%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))))))
68.4%
(*.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))))))
68.5%
(*.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)))))
▶82.7%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))))
54.6%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))))) (log.f32 (*.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u0)))))
51.8%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))))) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (log1p.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32))))))
▶54.5%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))))))
55.0%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) u0)) (*.f32 (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) u0))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) u0))))))
54.3%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 u0 u0)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
82.3%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32))) (/.f32 #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))))))))
68.3%
(*.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 #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)))))))
▶92.9%
(*.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))))
90.7%
(*.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))))
85.8%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
▶99.0%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
✓57.6%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
86.0%
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
93.1%
(*.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)))
91.0%
(*.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)))
▶73.0%
(*.f32 u0 (*.f32 alpha alpha))
Compiler

Compiled 1 291 to 610 computations (52.7% saved)

simplify282.0ms (2.5%)

Memory
-38.6MiB live, 403.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))))
✓cost-diff64
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))))))
✓cost-diff192
(*.f32 (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))))
✓cost-diff192
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))
✓cost-diff0
(-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))
✓cost-diff0
(neg.f32 alpha)
✓cost-diff0
(*.f32 (neg.f32 alpha) alpha)
✓cost-diff64
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))))
✓cost-diff0
(*.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)))
✓cost-diff0
(neg.f32 alpha)
✓cost-diff0
(*.f32 (neg.f32 alpha) alpha)
✓cost-diff0
(*.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))))
✓cost-diff0
(*.f32 alpha alpha)
✓cost-diff0
(*.f32 u0 (*.f32 alpha alpha))
✓cost-diff0
(log1p.f32 (neg.f32 u0))
✓cost-diff0
(neg.f32 alpha)
✓cost-diff0
(*.f32 (neg.f32 alpha) alpha)
✓cost-diff0
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
Rules
7 146×accelerator-lowering-fma.f32
7 146×accelerator-lowering-fma.f64
3 342×*-lowering-*.f32
3 342×*-lowering-*.f64
3 258×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044523
1126523
2413503
31426503
44698500
57846500
08406439
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (neg alpha) alpha) (log (+ 1 (neg u0))))
(* (neg alpha) alpha)
(neg alpha)
alpha
(log (+ 1 (neg u0)))
(neg u0)
u0
(* u0 (* alpha alpha))
u0
(* alpha alpha)
alpha
(* (* (neg alpha) alpha) (* u0 (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)))
(* (neg alpha) alpha)
(neg alpha)
alpha
(* u0 (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1))
u0
(+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)
(+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)
(+ (* u0 -1/4) -1/3)
-1/4
-1/3
-1/2
-1
(* (* (neg alpha) alpha) (- (log (+ 1 (* u0 (* u0 u0)))) (log (+ 1 (+ (* u0 u0) u0)))))
(* (neg alpha) alpha)
(neg alpha)
alpha
(- (log (+ 1 (* u0 (* u0 u0)))) (log (+ 1 (+ (* u0 u0) u0))))
(log (+ 1 (* u0 (* u0 u0))))
(* u0 (* u0 u0))
u0
(* u0 u0)
(log (+ 1 (+ (* u0 u0) u0)))
(+ (* u0 u0) u0)
(* (* (neg alpha) alpha) (- (log (- (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1))) (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))) (log (+ (/ 1 (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))))
(* (neg alpha) alpha)
(neg alpha)
alpha
(- (log (- (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1))) (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))) (log (+ (/ 1 (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))))))
(log (- (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1))) (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))))))
(- (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1))) (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))
(/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1)))
(/ 1 (+ u0 (+ (* u0 u0) 1)))
1
(+ u0 (+ (* u0 u0) 1))
u0
(+ (* u0 u0) 1)
(* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))))
(/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))
(* u0 (* u0 u0))
(* u0 u0)
(log (+ (/ 1 (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))
(+ (/ 1 (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))))
Outputs
(* (* (neg alpha) alpha) (log (+ 1 (neg u0))))
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
(* (neg alpha) alpha)
(*.f32 alpha (neg.f32 alpha))
(neg alpha)
(neg.f32 alpha)
alpha
(log (+ 1 (neg u0)))
(log1p.f32 (neg.f32 u0))
(neg u0)
(neg.f32 u0)
u0
(* u0 (* alpha alpha))
(*.f32 alpha (*.f32 alpha u0))
u0
(* alpha alpha)
(*.f32 alpha alpha)
alpha
(* (* (neg alpha) alpha) (* u0 (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)))
(*.f32 (*.f32 alpha alpha) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (neg.f32 u0)) u0))
(* (neg alpha) alpha)
(*.f32 alpha (neg.f32 alpha))
(neg alpha)
(neg.f32 alpha)
alpha
(* u0 (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -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)))
u0
(+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)
(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))
(+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)
(fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))
(+ (* u0 -1/4) -1/3)
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
-1/4
#s(literal -1/4 binary32)
-1/3
#s(literal -1/3 binary32)
-1/2
#s(literal -1/2 binary32)
-1
#s(literal -1 binary32)
(* (* (neg alpha) alpha) (- (log (+ 1 (* u0 (* u0 u0)))) (log (+ 1 (+ (* u0 u0) u0)))))
(*.f32 (*.f32 alpha alpha) (-.f32 (log1p.f32 (fma.f32 u0 u0 u0)) (log1p.f32 (*.f32 u0 (*.f32 u0 u0)))))
(* (neg alpha) alpha)
(*.f32 alpha (neg.f32 alpha))
(neg alpha)
(neg.f32 alpha)
alpha
(- (log (+ 1 (* u0 (* u0 u0)))) (log (+ 1 (+ (* u0 u0) u0))))
(-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))
(log (+ 1 (* u0 (* u0 u0))))
(log1p.f32 (*.f32 u0 (*.f32 u0 u0)))
(* u0 (* u0 u0))
(*.f32 u0 (*.f32 u0 u0))
u0
(* u0 u0)
(*.f32 u0 u0)
(log (+ 1 (+ (* u0 u0) u0)))
(log1p.f32 (fma.f32 u0 u0 u0))
(+ (* u0 u0) u0)
(fma.f32 u0 u0 u0)
(* (* (neg alpha) alpha) (- (log (- (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1))) (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))) (log (+ (/ 1 (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))))
(*.f32 alpha (*.f32 alpha (-.f32 (log.f32 (fma.f32 u0 (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) (log.f32 (fma.f32 u0 (/.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (fma.f32 u0 (-.f32 #s(literal -1 binary32) u0) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))))))))
(* (neg alpha) alpha)
(*.f32 alpha (neg.f32 alpha))
(neg alpha)
(neg.f32 alpha)
alpha
(- (log (- (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1))) (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))) (log (+ (/ 1 (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))))))
(-.f32 (log.f32 (fma.f32 u0 (/.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (fma.f32 u0 (-.f32 #s(literal -1 binary32) u0) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))))) (log.f32 (fma.f32 u0 (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))))
(log (- (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1))) (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))))))
(log.f32 (fma.f32 u0 (/.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (fma.f32 u0 (-.f32 #s(literal -1 binary32) u0) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))))
(- (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1))) (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))
(fma.f32 u0 (/.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (fma.f32 u0 (-.f32 #s(literal -1 binary32) u0) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))))
(/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1)))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))
(/ 1 (+ u0 (+ (* u0 u0) 1)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))
1
#s(literal 1 binary32)
(+ u0 (+ (* u0 u0) 1))
(+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))
u0
(+ (* u0 u0) 1)
(fma.f32 u0 u0 #s(literal 1 binary32))
(* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))))
(/.f32 (*.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))
(/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))
(/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))
(* u0 (* u0 u0))
(*.f32 u0 (*.f32 u0 u0))
(* u0 u0)
(*.f32 u0 u0)
(log (+ (/ 1 (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))
(log.f32 (fma.f32 u0 (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))))
(+ (/ 1 (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))))
(fma.f32 u0 (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))

localize218.0ms (2%)

Memory
35.1MiB live, 226.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(/.f32 #s(literal 1 binary32) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))
✓accuracy98.7%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))
✓accuracy60.2%
(log.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))))))
✓accuracy57.3%
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))))
✓accuracy99.6%
(-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))
✓accuracy99.3%
(*.f32 u0 (*.f32 u0 u0))
✓accuracy99.2%
(log1p.f32 (fma.f32 u0 u0 u0))
✓accuracy98.9%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0))))
✓accuracy99.9%
(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))
✓accuracy99.2%
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
✓accuracy99.1%
(*.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)))
✓accuracy98.9%
(*.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))))
✓accuracy100.0%
(*.f32 alpha alpha)
✓accuracy99.2%
(*.f32 u0 (*.f32 alpha alpha))
✓accuracy100.0%
(neg.f32 u0)
✓accuracy100.0%
(neg.f32 alpha)
✓accuracy100.0%
(log1p.f32 (neg.f32 u0))
✓accuracy99.0%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
Samples
103.0ms256×0valid
Compiler

Compiled 503 to 43 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 20.0ms (35.6% of total)
ival-add: 8.0ms (14.2% of total)
ival-log: 7.0ms (12.4% of total)
ival-log1p: 7.0ms (12.4% of total)
ival-div: 5.0ms (8.9% of total)
const: 4.0ms (7.1% of total)
ival-sub: 3.0ms (5.3% of total)
ival-neg: 2.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series223.0ms (2%)

Memory
2.4MiB live, 206.8MiB allocated
Counts
22 → 324
Calls
Call 1
Inputs
#<alt (* (* (neg alpha) alpha) (log (+ 1 (neg u0))))>
#<alt (* (neg alpha) alpha)>
#<alt (neg alpha)>
#<alt (log (+ 1 (neg u0)))>
#<alt (* u0 (* alpha alpha))>
#<alt (* alpha alpha)>
#<alt (* (* (neg alpha) alpha) (* u0 (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)))>
#<alt (* u0 (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1))>
#<alt (* (* (neg alpha) alpha) (- (log (+ 1 (* u0 (* u0 u0)))) (log (+ 1 (+ (* u0 u0) u0)))))>
#<alt (- (log (+ 1 (* u0 (* u0 u0)))) (log (+ 1 (+ (* u0 u0) u0))))>
#<alt (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1)))>
#<alt (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))))>
#<alt (* (* (neg alpha) alpha) (- (log (- (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1))) (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))) (log (+ (/ 1 (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))))>
#<alt (- (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1))) (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))>
#<alt (neg u0)>
#<alt (+ (* u0 -1/4) -1/3)>
#<alt (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)>
#<alt (log (+ 1 (+ (* u0 u0) u0)))>
#<alt (* u0 (* u0 u0))>
#<alt (log (+ (/ 1 (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))>
#<alt (log (- (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1))) (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))))))>
#<alt (/ 1 (+ u0 (+ (* u0 u0) 1)))>
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 (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<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 (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))>
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 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 (* -1/4 (pow u0 4))>
#<alt (* -1 (* (pow u0 4) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* (pow u0 4) (- (* -1 (/ (+ 1/2 (/ 1 u0)) (pow u0 2))) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1/4 (pow u0 4))>
#<alt (* -1 (* (pow u0 4) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* (pow u0 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))) u0)) 1/4))>
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (+ 1 (pow u0 3))) (log (+ 1 (+ u0 (pow u0 2)))))))>
#<alt (* (pow alpha 2) u0)>
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* -5/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* -5/3 (pow alpha 2)) (* 1/4 (* (pow alpha 2) u0)))))) (pow alpha 2)))>
#<alt (* -1 (* (pow alpha 2) (- (* -3 (log (/ 1 u0))) (* -2 (log (/ 1 u0))))))>
#<alt (+ (* -1 (* (pow alpha 2) (- (* -3 (log (/ 1 u0))) (* -2 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))>
#<alt (+ (* -1 (* (pow alpha 2) (- (* -3 (log (/ 1 u0))) (* -2 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))>
#<alt (+ (* -5/3 (/ (pow alpha 2) (pow u0 3))) (+ (* -1 (* (pow alpha 2) (- (* -3 (log (/ 1 u0))) (* -2 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))>
#<alt (* -1 (* (pow alpha 2) (- (+ (log -1) (* -3 (log (/ -1 u0)))) (* -2 (log (/ -1 u0))))))>
#<alt (+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -3 (log (/ -1 u0)))) (* -2 (log (/ -1 u0)))))) (/ (pow alpha 2) u0))>
#<alt (+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -3 (log (/ -1 u0)))) (* -2 (log (/ -1 u0)))))) (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)))>
#<alt (+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -3 (log (/ -1 u0)))) (* -2 (log (/ -1 u0)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)))>
#<alt (* -1 u0)>
#<alt (* u0 (- (* -1/2 u0) 1))>
#<alt (* u0 (- (* u0 (- (* 5/3 u0) 1/2)) 1))>
#<alt (* u0 (- (* u0 (- (* u0 (+ 5/3 (* -1/4 u0))) 1/2)) 1))>
#<alt (- (* -3 (log (/ 1 u0))) (* -2 (log (/ 1 u0))))>
#<alt (- (* -3 (log (/ 1 u0))) (+ (* -2 (log (/ 1 u0))) (/ 1 u0)))>
#<alt (- (+ (* -3 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))) (* -2 (log (/ 1 u0))))>
#<alt (- (+ (* -3 (log (/ 1 u0))) (* 5/3 (/ 1 (pow u0 3)))) (+ (* -2 (log (/ 1 u0))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0))))>
#<alt (- (+ (log -1) (* -3 (log (/ -1 u0)))) (* -2 (log (/ -1 u0))))>
#<alt (- (+ (log -1) (* -3 (log (/ -1 u0)))) (+ (* -2 (log (/ -1 u0))) (/ 1 u0)))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))) (* -2 (log (/ -1 u0))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ -1 u0))) (* -1 (/ (+ 1 (* -1 (/ (- (* 5/3 (/ 1 u0)) 1/2) u0))) u0)))) (* -2 (log (/ -1 u0))))>
#<alt 1>
#<alt (+ 1 (* -2 u0))>
#<alt (+ 1 (* u0 (- u0 2)))>
#<alt (+ 1 (* u0 (- (* u0 (+ 1 (* 2 u0))) 2)))>
#<alt (/ 1 (pow u0 4))>
#<alt (/ (- 1 (* 2 (/ 1 u0))) (pow u0 4))>
#<alt (/ (- (+ 1 (/ 1 (pow u0 2))) (* 2 (/ 1 u0))) (pow u0 4))>
#<alt (/ (- (+ 1 (+ (/ 1 (pow u0 2)) (* 2 (/ 1 (pow u0 3))))) (* 2 (/ 1 u0))) (pow u0 4))>
#<alt (/ 1 (pow u0 4))>
#<alt (/ (- 1 (* 2 (/ 1 u0))) (pow u0 4))>
#<alt (/ (+ 1 (* -1 (/ (- 2 (/ 1 u0)) u0))) (pow u0 4))>
#<alt (/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 2 (/ 1 u0))) u0))) u0))) (pow u0 4))>
#<alt (pow u0 6)>
#<alt (* (pow u0 6) (+ 1 (* -2 u0)))>
#<alt (* (pow u0 6) (+ 1 (* u0 (- u0 2))))>
#<alt (* (pow u0 6) (+ 1 (* u0 (- (* u0 (+ 1 (* 2 u0))) 2))))>
#<alt (pow u0 2)>
#<alt (* (pow u0 2) (- 1 (* 2 (/ 1 u0))))>
#<alt (* (pow u0 2) (- (+ 1 (/ 1 (pow u0 2))) (* 2 (/ 1 u0))))>
#<alt (* (pow u0 2) (- (+ 1 (+ (/ 1 (pow u0 2)) (* 2 (/ 1 (pow u0 3))))) (* 2 (/ 1 u0))))>
#<alt (pow u0 2)>
#<alt (* (pow u0 2) (- 1 (* 2 (/ 1 u0))))>
#<alt (* (pow u0 2) (+ 1 (* -1 (/ (- 2 (/ 1 u0)) u0))))>
#<alt (* (pow u0 2) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 2 (/ 1 u0))) u0))) u0))))>
#<alt (* -1 (* (pow alpha 2) (- (log (- (/ 1 (pow (+ 1 (+ u0 (pow u0 2))) 2)) (/ (pow u0 6) (pow (+ 1 (+ u0 (pow u0 2))) 2)))) (log (+ (/ 1 (+ 1 (+ u0 (pow u0 2)))) (/ (pow u0 3) (+ 1 (+ u0 (pow u0 2)))))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (- (/ 1 (pow (+ 1 (+ u0 (pow u0 2))) 2)) (/ (pow u0 6) (pow (+ 1 (+ u0 (pow u0 2))) 2)))) (log (+ (/ 1 (+ 1 (+ u0 (pow u0 2)))) (/ (pow u0 3) (+ 1 (+ u0 (pow u0 2)))))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (- (/ 1 (pow (+ 1 (+ u0 (pow u0 2))) 2)) (/ (pow u0 6) (pow (+ 1 (+ u0 (pow u0 2))) 2)))) (log (+ (/ 1 (+ 1 (+ u0 (pow u0 2)))) (/ (pow u0 3) (+ 1 (+ u0 (pow u0 2)))))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (- (/ 1 (pow (+ 1 (+ u0 (pow u0 2))) 2)) (/ (pow u0 6) (pow (+ 1 (+ u0 (pow u0 2))) 2)))) (log (+ (/ 1 (+ 1 (+ u0 (pow u0 2)))) (/ (pow u0 3) (+ 1 (+ u0 (pow u0 2)))))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (- (/ 1 (pow (+ 1 (+ u0 (pow u0 2))) 2)) (/ (pow u0 6) (pow (+ 1 (+ u0 (pow u0 2))) 2)))) (log (+ (/ 1 (+ 1 (+ u0 (pow u0 2)))) (/ (pow u0 3) (+ 1 (+ u0 (pow u0 2)))))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (- (/ 1 (pow (+ 1 (+ u0 (pow u0 2))) 2)) (/ (pow u0 6) (pow (+ 1 (+ u0 (pow u0 2))) 2)))) (log (+ (/ 1 (+ 1 (+ u0 (pow u0 2)))) (/ (pow u0 3) (+ 1 (+ u0 (pow u0 2)))))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (- (/ 1 (pow (+ 1 (+ u0 (pow u0 2))) 2)) (/ (pow u0 6) (pow (+ 1 (+ u0 (pow u0 2))) 2)))) (log (+ (/ 1 (+ 1 (+ u0 (pow u0 2)))) (/ (pow u0 3) (+ 1 (+ u0 (pow u0 2)))))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (- (/ 1 (pow (+ 1 (+ u0 (pow u0 2))) 2)) (/ (pow u0 6) (pow (+ 1 (+ u0 (pow u0 2))) 2)))) (log (+ (/ 1 (+ 1 (+ u0 (pow u0 2)))) (/ (pow u0 3) (+ 1 (+ u0 (pow u0 2)))))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (- (/ 1 (pow (+ 1 (+ u0 (pow u0 2))) 2)) (/ (pow u0 6) (pow (+ 1 (+ u0 (pow u0 2))) 2)))) (log (+ (/ 1 (+ 1 (+ u0 (pow u0 2)))) (/ (pow u0 3) (+ 1 (+ u0 (pow u0 2)))))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (- (/ 1 (pow (+ 1 (+ u0 (pow u0 2))) 2)) (/ (pow u0 6) (pow (+ 1 (+ u0 (pow u0 2))) 2)))) (log (+ (/ 1 (+ 1 (+ u0 (pow u0 2)))) (/ (pow u0 3) (+ 1 (+ u0 (pow u0 2)))))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (- (/ 1 (pow (+ 1 (+ u0 (pow u0 2))) 2)) (/ (pow u0 6) (pow (+ 1 (+ u0 (pow u0 2))) 2)))) (log (+ (/ 1 (+ 1 (+ u0 (pow u0 2)))) (/ (pow u0 3) (+ 1 (+ u0 (pow u0 2)))))))))>
#<alt (* -1 (* (pow alpha 2) (- (log (- (/ 1 (pow (+ 1 (+ u0 (pow u0 2))) 2)) (/ (pow u0 6) (pow (+ 1 (+ u0 (pow u0 2))) 2)))) (log (+ (/ 1 (+ 1 (+ u0 (pow u0 2)))) (/ (pow u0 3) (+ 1 (+ u0 (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) (* -2 (log (/ 1 u0)))) (* -1 (log (/ 1 u0))))))>
#<alt (+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -2 (log (/ 1 u0)))) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))>
#<alt (+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -2 (log (/ 1 u0)))) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))>
#<alt (+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -2 (log (/ 1 u0)))) (* -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 (* -1 (* (pow alpha 2) (- (* -2 (log (/ -1 u0))) (* -1 (log (/ -1 u0))))))>
#<alt (+ (* -1 (* (pow alpha 2) (- (* -2 (log (/ -1 u0))) (* -1 (log (/ -1 u0)))))) (/ (pow alpha 2) u0))>
#<alt (+ (* -1 (* (pow alpha 2) (- (* -2 (log (/ -1 u0))) (* -1 (log (/ -1 u0)))))) (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)))>
#<alt (+ (* -1 (* (pow alpha 2) (- (* -2 (log (/ -1 u0))) (* -1 (log (/ -1 u0)))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)))>
#<alt 1>
#<alt (+ 1 (* -2 u0))>
#<alt (+ 1 (* u0 (- u0 2)))>
#<alt (+ 1 (* u0 (- (* u0 (+ 1 (* 2 u0))) 2)))>
#<alt (* -1 (pow u0 2))>
#<alt (* (pow u0 2) (- (* 2 (/ 1 u0)) 1))>
#<alt (* (pow u0 2) (- (* 2 (/ 1 u0)) (+ 1 (/ 1 (pow u0 2)))))>
#<alt (* (pow u0 2) (- (+ (* -1 (/ (+ 1 (* 2 (/ 1 u0))) (pow u0 2))) (* 2 (/ 1 u0))) 1))>
#<alt (* -1 (pow u0 2))>
#<alt (* (pow u0 2) (- (* 2 (/ 1 u0)) 1))>
#<alt (* (pow u0 2) (- (* -1 (/ (- (/ 1 u0) 2) u0)) 1))>
#<alt (* (pow u0 2) (- (* -1 (/ (- (+ (/ 1 u0) (/ 2 (pow u0 2))) 2) u0)) 1))>
#<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 -1/3>
#<alt (- (* -1/4 u0) 1/3)>
#<alt (- (* -1/4 u0) 1/3)>
#<alt (- (* -1/4 u0) 1/3)>
#<alt (* -1/4 u0)>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1/4 u0)>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt -1>
#<alt (- (* -1/2 u0) 1)>
#<alt (- (* u0 (- (* -1/3 u0) 1/2)) 1)>
#<alt (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow u0 3))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) (pow u0 2))) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1/4 (pow u0 3))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt u0>
#<alt (* u0 (+ 1 (* 1/2 u0)))>
#<alt (* u0 (+ 1 (* u0 (+ 1/2 (* -2/3 u0)))))>
#<alt (* u0 (+ 1 (* u0 (+ 1/2 (* u0 (- (* 1/4 u0) 2/3))))))>
#<alt (* -2 (log (/ 1 u0)))>
#<alt (+ (* -2 (log (/ 1 u0))) (/ 1 u0))>
#<alt (+ (* -2 (log (/ 1 u0))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0)))>
#<alt (- (+ (* -2 (log (/ 1 u0))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0))) (* 2/3 (/ 1 (pow u0 3))))>
#<alt (* -2 (log (/ -1 u0)))>
#<alt (+ (* -2 (log (/ -1 u0))) (/ 1 u0))>
#<alt (+ (* -2 (log (/ -1 u0))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0)))>
#<alt (+ (* -2 (log (/ -1 u0))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u0))) u0)) 1) u0)))>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (pow u0 3)>
#<alt (* -1 u0)>
#<alt (* u0 (- (* -1/2 u0) 1))>
#<alt (* u0 (- (* u0 (- (* 5/3 u0) 1/2)) 1))>
#<alt (* u0 (- (* u0 (- (* u0 (+ 5/3 (* -1/4 u0))) 1/2)) 1))>
#<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))) (* 5/3 (/ 1 (pow u0 3)))) (+ (/ 1/2 (pow u0 2)) (/ 1 u0)))>
#<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 (* -1 (/ (- (* 5/3 (/ 1 u0)) 1/2) u0))) u0))))>
#<alt (* -2 u0)>
#<alt (* u0 (- (* -1 u0) 2))>
#<alt (* u0 (- (* u0 (- (* 4/3 u0) 1)) 2))>
#<alt (* u0 (- (* u0 (- (* u0 (+ 4/3 (* -1/2 u0))) 1)) 2))>
#<alt (+ (log -1) (* -2 (log (/ 1 u0))))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 u0)))) (* 2 (/ 1 u0)))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 u0))) (* -1 (/ (+ 2 (/ 1 u0)) u0))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 u0))) (* 4/3 (/ 1 (pow u0 3))))) (+ (* 2 (/ 1 u0)) (/ 1 (pow u0 2))))>
#<alt (+ (log -1) (* -2 (log (/ -1 u0))))>
#<alt (- (+ (log -1) (* -2 (log (/ -1 u0)))) (* 2 (/ 1 u0)))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 u0))) (* -1 (/ (+ 2 (/ 1 u0)) u0))))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 u0))) (* -1 (/ (+ 2 (* -1 (/ (- (* 4/3 (/ 1 u0)) 1) u0))) u0))))>
#<alt 1>
#<alt (+ 1 (* -1 u0))>
#<alt (+ 1 (* u0 (- (pow u0 2) 1)))>
#<alt (+ 1 (* u0 (- (* (pow u0 2) (+ 1 (* -1 u0))) 1)))>
#<alt (/ 1 (pow u0 2))>
#<alt (/ (- 1 (/ 1 u0)) (pow u0 2))>
#<alt (/ (- (+ 1 (/ 1 (pow u0 3))) (/ 1 u0)) (pow u0 2))>
#<alt (/ (- (+ 1 (/ 1 (pow u0 3))) (+ (/ 1 u0) (/ 1 (pow u0 4)))) (pow u0 2))>
#<alt (/ 1 (pow u0 2))>
#<alt (/ (- 1 (/ 1 u0)) (pow u0 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow u0 2))) u0))) (pow u0 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow u0 3))) (/ 1 (pow u0 2))) u0))) (pow u0 2))>
Calls

81 calls:

TimeVariablePointExpression
93.0ms
alpha
@0
(* (* (neg alpha) alpha) (- (log (- (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1))) (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))) (log (+ (/ 1 (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))))
67.0ms
alpha
@0
(* (* (neg alpha) alpha) (- (log (+ 1 (* u0 (* u0 u0)))) (log (+ 1 (+ (* u0 u0) u0)))))
22.0ms
u0
@0
(/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1)))
21.0ms
alpha
@inf
(* (* (neg alpha) alpha) (* u0 (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)))
2.0ms
alpha
@0
(* (* (neg alpha) alpha) (* u0 (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)))

rewrite473.0ms (4.3%)

Memory
3.6MiB live, 432.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 708×/-lowering-/.f32
3 708×/-lowering-/.f64
3 164×accelerator-lowering-fma.f32
3 164×accelerator-lowering-fma.f64
2 800×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044221
1303181
23085161
08671131
Stop Event
1×iter limit
1×node limit
Counts
22 → 927
Calls
Call 1
Inputs
(* (* (neg alpha) alpha) (log (+ 1 (neg u0))))
(* (neg alpha) alpha)
(neg alpha)
(log (+ 1 (neg u0)))
(* u0 (* alpha alpha))
(* alpha alpha)
(* (* (neg alpha) alpha) (* u0 (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)))
(* u0 (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1))
(* (* (neg alpha) alpha) (- (log (+ 1 (* u0 (* u0 u0)))) (log (+ 1 (+ (* u0 u0) u0)))))
(- (log (+ 1 (* u0 (* u0 u0)))) (log (+ 1 (+ (* u0 u0) u0))))
(/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1)))
(* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))))
(* (* (neg alpha) alpha) (- (log (- (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1))) (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))) (log (+ (/ 1 (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))))
(- (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1))) (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))
(neg u0)
(+ (* u0 -1/4) -1/3)
(+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)
(log (+ 1 (+ (* u0 u0) u0)))
(* u0 (* u0 u0))
(log (+ (/ 1 (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1)))))
(log (- (/ (/ 1 (+ u0 (+ (* u0 u0) 1))) (+ u0 (+ (* u0 u0) 1))) (* (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))) (/ (* u0 (* u0 u0)) (+ u0 (+ (* u0 u0) 1))))))
(/ 1 (+ u0 (+ (* u0 u0) 1)))
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)) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (log1p.f32 u0))))
(+.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (*.f32 u0 (*.f32 u0 u0)))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0)))))
(+.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0))) (neg.f32 (*.f32 alpha alpha))) (*.f32 (neg.f32 (log1p.f32 u0)) (neg.f32 (*.f32 alpha alpha))))
(+.f32 (*.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (neg.f32 (*.f32 alpha alpha))) (*.f32 (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0))) (neg.f32 (*.f32 alpha alpha))))
(fma.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0)))))
(fma.f32 (neg.f32 (*.f32 alpha alpha)) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0))) (*.f32 (neg.f32 (*.f32 alpha alpha)) (neg.f32 (log1p.f32 u0))))
(fma.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (neg.f32 (*.f32 alpha alpha)) (*.f32 (neg.f32 (log1p.f32 (fma.f32 u0 u0 u0))) (neg.f32 (*.f32 alpha alpha))))
(fma.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0))) (neg.f32 (*.f32 alpha alpha)) (*.f32 (neg.f32 (log1p.f32 u0)) (neg.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (-.f32 (pow.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32)))) (fma.f32 (log1p.f32 u0) (log.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) u0))) (pow.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0))) #s(literal 2 binary32))))
(/.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (*.f32 (log.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) u0))) (log1p.f32 u0))) (log.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) u0))))
(/.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (-.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)))) (fma.f32 (log1p.f32 (fma.f32 u0 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)))) (pow.f32 (log1p.f32 (*.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 u0) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))) (log1p.f32 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 (*.f32 (-.f32 (pow.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (neg.f32 (*.f32 alpha alpha))) (fma.f32 (log1p.f32 u0) (log.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) u0))) (pow.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0))) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 (log.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) u0))) (log1p.f32 u0)) (neg.f32 (*.f32 alpha alpha))) (log.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) u0))))
(/.f32 (*.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))) (neg.f32 (*.f32 alpha alpha))) (fma.f32 (log1p.f32 (fma.f32 u0 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)))) (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 2 binary32))))
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(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (-.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) #s(literal -1 binary32)))
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(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u0 u0 u0) (fma.f32 u0 u0 u0)))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))) #s(literal -1 binary32)))

simplify546.0ms (4.9%)

Memory
-21.7MiB live, 862.3MiB allocated
Algorithm
1×egg-herbie
Rules
13 514×accelerator-lowering-fma.f32
13 514×accelerator-lowering-fma.f64
6 166×+-lowering-+.f64
6 166×+-lowering-+.f32
4 994×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04614159
113783900
239563745
083053463
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
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)))
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1
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(/ (- 1 (/ 1 u0)) (pow u0 2))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow u0 2))) u0))) (pow u0 2))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow u0 3))) (/ 1 (pow u0 2))) u0))) (pow u0 2))
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 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) u0))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(*.f32 u0 (fma.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 #s(literal 1/3 binary32) u0 #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 (fma.f32 alpha (*.f32 alpha #s(literal 1/2 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 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))
(*.f32 alpha (-.f32 (/.f32 alpha u0) (*.f32 alpha (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)))))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))
(fma.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (neg.f32 (*.f32 alpha alpha)) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 (*.f32 alpha 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 (-.f32 (/.f32 alpha u0) (*.f32 alpha (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)))) (*.f32 (/.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) 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))
(*.f32 alpha (fma.f32 alpha (neg.f32 (log.f32 (neg.f32 u0))) (/.f32 alpha 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 (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))
(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 (+.f32 (log.f32 u0) (/.f32 #s(literal -1 binary32) u0)) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u0)) (*.f32 u0 u0))))
(* -1 (log (/ -1 u0)))
(neg.f32 (neg.f32 (log.f32 (neg.f32 u0))))
(- (* -1 (log (/ -1 u0))) (/ 1 u0))
(-.f32 (/.f32 #s(literal -1 binary32) u0) (neg.f32 (log.f32 (neg.f32 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) (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)
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(*.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))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(*.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))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(*.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))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(*.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))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(*.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))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(*.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))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(*.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))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(*.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))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(*.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))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(*.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))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(*.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))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(*.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))))
(* (pow alpha 2) u0)
(*.f32 (*.f32 alpha alpha) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) u0))
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(*.f32 u0 (fma.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 #s(literal 1/3 binary32) u0 #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 (fma.f32 alpha (*.f32 alpha #s(literal 1/2 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) (*.f32 alpha alpha)))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
(*.f32 (*.f32 alpha alpha) (*.f32 #s(literal 1/4 binary32) (pow.f32 u0 #s(literal 4 binary32))))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u0))))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (*.f32 (/.f32 (*.f32 alpha alpha) u0) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)))))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (fma.f32 (/.f32 (*.f32 alpha alpha) u0) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (*.f32 alpha (+.f32 (/.f32 alpha (*.f32 u0 (*.f32 u0 u0))) (*.f32 alpha #s(literal 1/4 binary32))))))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
(*.f32 (*.f32 alpha alpha) (*.f32 #s(literal 1/4 binary32) (pow.f32 u0 #s(literal 4 binary32))))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u0))))
(* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha #s(literal -1/3 binary32)) (*.f32 (/.f32 (*.f32 alpha alpha) u0) #s(literal -1/2 binary32))) (neg.f32 u0))))
(* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha #s(literal -1/3 binary32)) (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) (neg.f32 u0))) (neg.f32 u0))))
(* -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)))
(* -1/4 (pow u0 4))
(*.f32 #s(literal -1/4 binary32) (pow.f32 u0 #s(literal 4 binary32)))
(* -1 (* (pow u0 4) (+ 1/4 (* 1/3 (/ 1 u0)))))
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/3 binary32) u0)))
(* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) u0)))
(* (pow u0 4) (- (* -1 (/ (+ 1/2 (/ 1 u0)) (pow u0 2))) (+ 1/4 (* 1/3 (/ 1 u0)))))
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) u0)) u0) #s(literal -1/4 binary32)))
(* -1/4 (pow u0 4))
(*.f32 #s(literal -1/4 binary32) (pow.f32 u0 #s(literal 4 binary32)))
(* -1 (* (pow u0 4) (+ 1/4 (* 1/3 (/ 1 u0)))))
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/3 binary32) u0)))
(* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) u0)))
(* (pow u0 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))) u0)) 1/4))
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(+.f32 (log.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 2 binary32) (log.f32 u0) (/.f32 #s(literal -2 binary32) u0)))
(+ (log -1) (+ (* -2 (log (/ 1 u0))) (* -1 (/ (+ 2 (/ 1 u0)) u0))))
(+.f32 (fma.f32 #s(literal 2 binary32) (log.f32 u0) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) u0)) u0))
(- (+ (log -1) (+ (* -2 (log (/ 1 u0))) (* 4/3 (/ 1 (pow u0 3))))) (+ (* 2 (/ 1 u0)) (/ 1 (pow u0 2))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (fma.f32 #s(literal 2 binary32) (log.f32 u0) (/.f32 #s(literal 4/3 binary32) (*.f32 u0 (*.f32 u0 u0)))) (+.f32 (/.f32 #s(literal -2 binary32) u0) (/.f32 #s(literal -1 binary32) (*.f32 u0 u0)))))
(+ (log -1) (* -2 (log (/ -1 u0))))
(fma.f32 (neg.f32 (log.f32 (neg.f32 u0))) #s(literal -2 binary32) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -2 (log (/ -1 u0)))) (* 2 (/ 1 u0)))
(+.f32 (log.f32 #s(literal -1 binary32)) (fma.f32 (neg.f32 (log.f32 (neg.f32 u0))) #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) u0)))
(+ (log -1) (+ (* -2 (log (/ -1 u0))) (* -1 (/ (+ 2 (/ 1 u0)) u0))))
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) u0)) u0) (fma.f32 (neg.f32 (log.f32 (neg.f32 u0))) #s(literal -2 binary32) (log.f32 #s(literal -1 binary32))))
(+ (log -1) (+ (* -2 (log (/ -1 u0))) (* -1 (/ (+ 2 (* -1 (/ (- (* 4/3 (/ 1 u0)) 1) u0))) u0))))
(-.f32 (fma.f32 (neg.f32 (log.f32 (neg.f32 u0))) #s(literal -2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 4/3 binary32) u0)) u0)) u0))
1
#s(literal 1 binary32)
(+ 1 (* -1 u0))
(-.f32 #s(literal 1 binary32) u0)
(+ 1 (* u0 (- (pow u0 2) 1)))
(fma.f32 u0 (fma.f32 u0 u0 #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* u0 (- (* (pow u0 2) (+ 1 (* -1 u0))) 1)))
(fma.f32 u0 (fma.f32 (*.f32 u0 u0) (-.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) #s(literal 1 binary32))
(/ 1 (pow u0 2))
(/.f32 #s(literal 1 binary32) (*.f32 u0 u0))
(/ (- 1 (/ 1 u0)) (pow u0 2))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u0)) (*.f32 u0 u0))
(/ (- (+ 1 (/ 1 (pow u0 3))) (/ 1 u0)) (pow u0 2))
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))) (/.f32 #s(literal -1 binary32) u0))) (*.f32 u0 u0))
(/ (- (+ 1 (/ 1 (pow u0 3))) (+ (/ 1 u0) (/ 1 (pow u0 4)))) (pow u0 2))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) u0) (/.f32 #s(literal -1 binary32) (pow.f32 u0 #s(literal 4 binary32)))))) (*.f32 u0 u0))
(/ 1 (pow u0 2))
(/.f32 #s(literal 1 binary32) (*.f32 u0 u0))
(/ (- 1 (/ 1 u0)) (pow u0 2))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u0)) (*.f32 u0 u0))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow u0 2))) u0))) (pow u0 2))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u0 u0))) u0)) (*.f32 u0 u0))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow u0 3))) (/ 1 (pow u0 2))) u0))) (pow u0 2))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))) (/.f32 #s(literal -1 binary32) (*.f32 u0 u0)))) u0)) (*.f32 u0 u0))

eval257.0ms (2.3%)

Memory
52.7MiB live, 471.3MiB allocated
Compiler

Compiled 72 832 to 4 276 computations (94.1% saved)

prune195.0ms (1.8%)

Memory
-23.3MiB live, 618.5MiB allocated
Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New1 514261 540
Fresh11617
Picked235
Done011
Total1 527361 563
Accuracy
99.9%
Counts
1 563 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.2%
(fma.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) (neg.f32 (*.f32 alpha alpha)) (*.f32 (neg.f32 u0) (neg.f32 (*.f32 alpha alpha))))
93.2%
(fma.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) #s(literal -1 binary32) (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))
93.0%
(/.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32))) (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)))
▶93.0%
(/.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.f32 u0 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.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))) (fma.f32 u0 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 u0)))))
85.9%
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) u0))
92.6%
(*.f32 (pow.f32 u0 #s(literal 4 binary32)) (fma.f32 (/.f32 (*.f32 alpha alpha) u0) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (*.f32 alpha (+.f32 (/.f32 alpha (*.f32 u0 (*.f32 u0 u0))) (*.f32 alpha #s(literal 1/4 binary32))))))
57.6%
(*.f32 (/.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) alpha) (*.f32 alpha alpha)) (log.f32 (-.f32 #s(literal 1 binary32) 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)))
▶93.0%
(*.f32 (*.f32 (*.f32 alpha 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))
92.9%
(*.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (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))) u0)
93.2%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0) (neg.f32 u0)))
93.0%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0))) (*.f32 u0 u0)) (-.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) (neg.f32 u0))))
93.0%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (/.f32 (*.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) 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))))
98.6%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 (*.f32 u0 u0) (neg.f32 u0))) (log1p.f32 (fma.f32 u0 u0 u0))))
98.7%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0)))
54.6%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))))) (log.f32 (*.f32 (fma.f32 u0 u0 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u0)))))
59.6%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) (*.f32 #s(literal 2 binary32) (log1p.f32 (fma.f32 u0 u0 u0)))))
92.4%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 (pow.f32 u0 #s(literal 4 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) u0)) u0) #s(literal -1/4 binary32))))
92.8%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (*.f32 u0 u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))))
✓92.9%
(*.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))))
90.7%
(*.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))))
85.8%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
▶92.8%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))
92.9%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (+.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))))
92.7%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (*.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32))))))
92.5%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (*.f32 (*.f32 u0 u0) (fma.f32 u0 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) (*.f32 u0 u0)) #s(literal -1/4 binary32)) #s(literal -1/3 binary32)))))
54.7%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (*.f32 u0 u0))))))
▶98.8%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (*.f32 u0 (*.f32 u0 u0)) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0)))))))
✓99.0%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
✓57.6%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
▶73.1%
(*.f32 (*.f32 alpha u0) alpha)
86.0%
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
91.0%
(*.f32 u0 (fma.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
93.1%
(*.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)))
82.8%
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 #s(literal -5/3 binary32) u0 #s(literal 1/2 binary32))))))
✓73.0%
(*.f32 u0 (*.f32 alpha alpha))
Compiler

Compiled 1 665 to 906 computations (45.6% saved)

simplify357.0ms (3.2%)

Memory
-31.2MiB live, 789.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.f32 u0 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.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)))
✓cost-diff0
(/.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.f32 u0 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.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))) (fma.f32 u0 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 u0)))))
✓cost-diff128
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 u0)))
✓cost-diff544
(fma.f32 u0 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 u0))))
✓cost-diff0
(*.f32 u0 (/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (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))))
✓cost-diff0
(neg.f32 alpha)
✓cost-diff0
(*.f32 (neg.f32 alpha) alpha)
✓cost-diff0
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (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)))))
✓cost-diff0
(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))
✓cost-diff0
(*.f32 alpha u0)
✓cost-diff0
(*.f32 (*.f32 alpha 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)))
✓cost-diff0
(*.f32 (*.f32 (*.f32 alpha 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))
✓cost-diff0
(*.f32 alpha u0)
✓cost-diff0
(*.f32 (*.f32 alpha u0) alpha)
✓cost-diff32
(fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0))
✓cost-diff96
(+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0)))
✓cost-diff160
(*.f32 #s(literal 0 binary32) u0)
✓cost-diff832
(/.f32 (*.f32 u0 (*.f32 u0 u0)) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0)))))
Rules
12 900×accelerator-lowering-fma.f32
12 900×accelerator-lowering-fma.f64
4 906×*-lowering-*.f32
4 906×*-lowering-*.f64
2 358×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049688
1171608
2686559
34191555
08067472
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (neg alpha) alpha) (log (+ 1 (/ (* u0 (* u0 u0)) (neg (+ 0 (+ (* u0 u0) (* 0 u0))))))))
(* (neg alpha) alpha)
(neg alpha)
alpha
(log (+ 1 (/ (* u0 (* u0 u0)) (neg (+ 0 (+ (* u0 u0) (* 0 u0)))))))
(/ (* u0 (* u0 u0)) (neg (+ 0 (+ (* u0 u0) (* 0 u0)))))
(* u0 (* u0 u0))
u0
(* u0 u0)
(neg (+ 0 (+ (* u0 u0) (* 0 u0))))
(+ 0 (+ (* u0 u0) (* 0 u0)))
0
(+ (* u0 u0) (* 0 u0))
(* 0 u0)
(* (* alpha u0) alpha)
(* alpha u0)
alpha
u0
(* (* (* alpha u0) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)) (neg alpha))
(* (* alpha u0) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1))
(* alpha u0)
alpha
u0
(+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)
(+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)
(+ (* u0 -1/4) -1/3)
-1/4
-1/3
-1/2
-1
(neg alpha)
(* (* (neg alpha) alpha) (* u0 (/ (+ (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))) -1) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) 1))))
(* (neg alpha) alpha)
(neg alpha)
alpha
(* u0 (/ (+ (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))) -1) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) 1)))
u0
(/ (+ (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))) -1) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) 1))
(+ (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))) -1)
(+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)
(+ (* u0 -1/4) -1/3)
-1/4
-1/3
-1/2
(* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))
(* u0 u0)
-1
(+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) 1)
1
(/ (* (neg (* alpha (* alpha u0))) (+ (* (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))) -1)) (+ (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))) (- 1 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0)))))
(* (neg (* alpha (* alpha u0))) (+ (* (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))) -1))
(neg (* alpha (* alpha u0)))
(* alpha (* alpha u0))
alpha
(* alpha u0)
u0
(+ (* (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))) -1)
(* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))
(+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)
(+ (* u0 -1/4) -1/3)
-1/4
-1/3
-1/2
(* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))
(* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))
-1
(+ (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))) (- 1 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0))))
(- 1 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0)))
1
(* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0))
(neg u0)
Outputs
(* (* (neg alpha) alpha) (log (+ 1 (/ (* u0 (* u0 u0)) (neg (+ 0 (+ (* u0 u0) (* 0 u0))))))))
(*.f32 (*.f32 alpha (neg.f32 alpha)) (log1p.f32 (neg.f32 u0)))
(* (neg alpha) alpha)
(*.f32 alpha (neg.f32 alpha))
(neg alpha)
(neg.f32 alpha)
alpha
(log (+ 1 (/ (* u0 (* u0 u0)) (neg (+ 0 (+ (* u0 u0) (* 0 u0)))))))
(log1p.f32 (neg.f32 u0))
(/ (* u0 (* u0 u0)) (neg (+ 0 (+ (* u0 u0) (* 0 u0)))))
(neg.f32 u0)
(* u0 (* u0 u0))
(*.f32 u0 (*.f32 u0 u0))
u0
(* u0 u0)
(*.f32 u0 u0)
(neg (+ 0 (+ (* u0 u0) (* 0 u0))))
(*.f32 u0 (neg.f32 u0))
(+ 0 (+ (* u0 u0) (* 0 u0)))
(*.f32 u0 u0)
0
#s(literal 0 binary32)
(+ (* u0 u0) (* 0 u0))
(*.f32 u0 u0)
(* 0 u0)
#s(literal 0 binary32)
(* (* alpha u0) alpha)
(*.f32 alpha (*.f32 alpha u0))
(* alpha u0)
(*.f32 alpha u0)
alpha
u0
(* (* (* alpha u0) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)) (neg alpha))
(*.f32 alpha (*.f32 alpha (fma.f32 u0 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 u0)) u0)))
(* (* alpha u0) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1))
(*.f32 u0 (*.f32 alpha (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(* alpha u0)
(*.f32 alpha u0)
alpha
u0
(+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)
(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))
(+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)
(fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))
(+ (* u0 -1/4) -1/3)
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
-1/4
#s(literal -1/4 binary32)
-1/3
#s(literal -1/3 binary32)
-1/2
#s(literal -1/2 binary32)
-1
#s(literal -1 binary32)
(neg alpha)
(neg.f32 alpha)
(* (* (neg alpha) alpha) (* u0 (/ (+ (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))) -1) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) 1))))
(neg.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (*.f32 u0 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)))) (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 alpha) alpha)
(*.f32 alpha (neg.f32 alpha))
(neg alpha)
(neg.f32 alpha)
alpha
(* u0 (/ (+ (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))) -1) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) 1)))
(/.f32 (*.f32 u0 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (*.f32 u0 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))) (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)))
u0
(/ (+ (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))) -1) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) 1))
(/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (*.f32 u0 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)) (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)))
(+ (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))) -1)
(fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (*.f32 u0 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))
(+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)
(fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))
(+ (* u0 -1/4) -1/3)
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
-1/4
#s(literal -1/4 binary32)
-1/3
#s(literal -1/3 binary32)
-1/2
#s(literal -1/2 binary32)
(* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))
(*.f32 (*.f32 u0 u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))
(* u0 u0)
(*.f32 u0 u0)
-1
#s(literal -1 binary32)
(+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) 1)
(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))
1
#s(literal 1 binary32)
(/ (* (neg (* alpha (* alpha u0))) (+ (* (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))) -1)) (+ (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))) (- 1 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0)))))
(/.f32 (*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 (fma.f32 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (neg.f32 u0) #s(literal 1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) u0))) alpha)) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) u0) #s(literal 1 binary32)))
(* (neg (* alpha (* alpha u0))) (+ (* (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))) -1))
(*.f32 (*.f32 alpha u0) (fma.f32 alpha (*.f32 (fma.f32 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (neg.f32 u0) #s(literal 1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) u0))) alpha))
(neg (* alpha (* alpha u0)))
(*.f32 (*.f32 alpha (neg.f32 alpha)) u0)
(* alpha (* alpha u0))
(*.f32 alpha (*.f32 alpha u0))
alpha
(* alpha u0)
(*.f32 alpha u0)
u0
(+ (* (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))) -1)
(fma.f32 u0 (*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.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))
(* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))
(+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)
(fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))
(+ (* u0 -1/4) -1/3)
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
-1/4
#s(literal -1/4 binary32)
-1/3
#s(literal -1/3 binary32)
-1/2
#s(literal -1/2 binary32)
(* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))
(*.f32 u0 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))
(* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))))
-1
#s(literal -1 binary32)
(+ (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))) (- 1 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0))))
(fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (fma.f32 (*.f32 u0 u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) u0) #s(literal 1 binary32))
(- 1 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg 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))
1
#s(literal 1 binary32)
(* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0))
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 u0))
(neg u0)
(neg.f32 u0)

localize235.0ms (2.1%)

Memory
12.7MiB live, 363.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 u0))
✓accuracy99.2%
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))
✓accuracy99.2%
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
✓accuracy98.8%
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))))
✓accuracy99.2%
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
✓accuracy99.1%
(*.f32 u0 (/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (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))))
✓accuracy98.9%
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0))
✓accuracy98.9%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (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)))))
✓accuracy99.9%
(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))
✓accuracy99.3%
(*.f32 (*.f32 (*.f32 alpha 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))
✓accuracy99.2%
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
✓accuracy99.0%
(*.f32 (*.f32 alpha 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)))
✓accuracy100.0%
(*.f32 alpha u0)
✓accuracy99.2%
(*.f32 (*.f32 alpha u0) alpha)
✓accuracy100.0%
(log1p.f32 (/.f32 (*.f32 u0 (*.f32 u0 u0)) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0))))))
✓accuracy99.3%
(*.f32 u0 (*.f32 u0 u0))
✓accuracy99.3%
(/.f32 (*.f32 u0 (*.f32 u0 u0)) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0)))))
✓accuracy99.0%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (/.f32 (*.f32 u0 (*.f32 u0 u0)) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0)))))))
Samples
115.0ms256×0valid
Compiler

Compiled 608 to 50 computations (91.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult: 67.0ms (70.7% of total)
ival-add: 10.0ms (10.6% of total)
ival-div: 5.0ms (5.3% of total)
ival-neg: 5.0ms (5.3% of total)
const: 4.0ms (4.2% of total)
ival-log1p: 3.0ms (3.2% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series48.0ms (0.4%)

Memory
23.2MiB live, 99.2MiB allocated
Counts
25 → 396
Calls
Call 1
Inputs
#<alt (/ (* u0 (* u0 u0)) (neg (+ 0 (+ (* u0 u0) (* 0 u0)))))>
#<alt (* 0 u0)>
#<alt (+ 0 (+ (* u0 u0) (* 0 u0)))>
#<alt (+ (* u0 u0) (* 0 u0))>
#<alt (* (* alpha u0) alpha)>
#<alt (* alpha u0)>
#<alt (* (* (* alpha u0) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)) (neg alpha))>
#<alt (* (* alpha u0) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1))>
#<alt (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)>
#<alt (* (* (neg alpha) alpha) (* u0 (/ (+ (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))) -1) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) 1))))>
#<alt (* (neg alpha) alpha)>
#<alt (neg alpha)>
#<alt (* u0 (/ (+ (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))) -1) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) 1)))>
#<alt (+ (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))) (- 1 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0))))>
#<alt (- 1 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0)))>
#<alt (/ (* (neg (* alpha (* alpha u0))) (+ (* (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))) -1)) (+ (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))) (- 1 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0)))))>
#<alt (* (neg (* alpha (* alpha u0))) (+ (* (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))) -1))>
#<alt (* (* (neg alpha) alpha) (log (+ 1 (/ (* u0 (* u0 u0)) (neg (+ 0 (+ (* u0 u0) (* 0 u0))))))))>
#<alt (* u0 (* u0 u0))>
#<alt (log (+ 1 (/ (* u0 (* u0 u0)) (neg (+ 0 (+ (* u0 u0) (* 0 u0)))))))>
#<alt (+ (* u0 -1/4) -1/3)>
#<alt (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))>
#<alt (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))>
#<alt (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))>
#<alt (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg 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 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (pow u0 2)>
#<alt (* (pow alpha 2) 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 (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<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 (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))>
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* -1 (* alpha u0))>
#<alt (* u0 (+ (* -1 alpha) (* -1/2 (* alpha u0))))>
#<alt (* u0 (+ (* -1 alpha) (* u0 (+ (* -1/2 alpha) (* -1/3 (* alpha u0))))))>
#<alt (* u0 (+ (* -1 alpha) (* u0 (+ (* -1/2 alpha) (* u0 (+ (* -1/3 alpha) (* -1/4 (* alpha u0))))))))>
#<alt (* -1/4 (* alpha (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha)))>
#<alt (* (pow u0 4) (+ (* -1/2 (/ alpha (pow u0 2))) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha))))>
#<alt (* (pow u0 4) (+ (* -1 (/ alpha (pow u0 3))) (+ (* -1/2 (/ alpha (pow u0 2))) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha)))))>
#<alt (* -1/4 (* alpha (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha)))>
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))) u0)) (* -1/4 alpha)))>
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0)) (* 1/3 alpha)) u0)) (* -1/4 alpha)))>
#<alt -1>
#<alt (- (* -1/2 u0) 1)>
#<alt (- (* u0 (- (* -1/3 u0) 1/2)) 1)>
#<alt (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow u0 3))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) (pow u0 2))) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1/4 (pow u0 3))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<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 (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* -1 (/ (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (- (* -13/9 (pow alpha 2)) (+ (* -1/2 (pow alpha 2)) (* 4/3 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2)))))) (pow u0 2))) (+ (* -1 (/ (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2)))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (- (* -13/9 (pow alpha 2)) (+ (* -1/2 (pow alpha 2)) (* 4/3 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2)))))) (pow u0 2))) (+ (* -1 (/ (- (* -4/3 (pow alpha 2)) (+ (* 4/3 (- (* -13/9 (pow alpha 2)) (+ (* -1/2 (pow alpha 2)) (* 4/3 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2))))))) (+ (* 2 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2)))) (pow alpha 2)))) (pow u0 3))) (+ (* -1 (/ (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))))>
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* -1 (/ (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 13/9 (pow alpha 2)) (+ (* -4/3 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2)))) (* 1/2 (pow alpha 2)))) u0)) (* -2/3 (pow alpha 2))) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -4/3 (pow alpha 2)) (+ (* -4/3 (- (* 13/9 (pow alpha 2)) (+ (* -4/3 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2)))) (* 1/2 (pow alpha 2))))) (+ (* 2 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2)))) (pow alpha 2)))) u0)) (* 13/9 (pow alpha 2))) (+ (* -4/3 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2)))) (* 1/2 (pow alpha 2)))) u0)) (* -2/3 (pow alpha 2))) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<alt (* -1 (pow alpha 2))>
#<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 (* -1/4 (pow u0 4))>
#<alt (* -1 (* (pow u0 4) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* (pow u0 4) (- (* -1 (/ (+ 1/2 (/ 1 u0)) (pow u0 2))) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1/4 (pow u0 4))>
#<alt (* -1 (* (pow u0 4) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* (pow u0 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))) u0)) 1/4))>
#<alt 1>
#<alt (+ 1 (* -1/2 u0))>
#<alt (+ 1 (* u0 (- (* -1/12 u0) 1/2)))>
#<alt (+ 1 (* u0 (- (* u0 (- (* 1/12 u0) 1/12)) 1/2)))>
#<alt (* 1/16 (pow u0 6))>
#<alt (* (pow u0 6) (+ 1/16 (* 1/6 (/ 1 u0))))>
#<alt (* (pow u0 6) (+ 1/16 (+ (/ 13/36 (pow u0 2)) (* 1/6 (/ 1 u0)))))>
#<alt (* (pow u0 6) (+ 1/16 (+ (/ 13/36 (pow u0 2)) (+ (* 1/6 (/ 1 u0)) (* 1/12 (/ 1 (pow u0 3)))))))>
#<alt (* 1/16 (pow u0 6))>
#<alt (* (pow u0 6) (+ 1/16 (* 1/6 (/ 1 u0))))>
#<alt (* (pow u0 6) (+ 1/16 (+ (/ 13/36 (pow u0 2)) (* 1/6 (/ 1 u0)))))>
#<alt (* (pow u0 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/12 (/ 1 u0))) u0)) 1/6) u0))))>
#<alt 1>
#<alt (+ 1 (* -1/2 u0))>
#<alt (+ 1 (* u0 (- (* -1/3 u0) 1/2)))>
#<alt (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))>
#<alt (* -1/4 (pow u0 3))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* (pow u0 3) (- (/ 1 (pow u0 3)) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))>
#<alt (* -1/4 (pow u0 3))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (- 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))>
#<alt (* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))>
#<alt (* (pow alpha 2) u0)>
#<alt (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/12 (pow alpha 2)) (* 1/4 (pow alpha 2)))))) (pow alpha 2)))>
#<alt (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* -1 (* u0 (- (* -1/8 (pow alpha 2)) (+ (* -1/12 (pow alpha 2)) (+ (* 1/24 (pow alpha 2)) (* 1/2 (+ (* 1/12 (pow alpha 2)) (* 1/4 (pow alpha 2))))))))) (+ (* 1/12 (pow alpha 2)) (* 1/4 (pow alpha 2))))))) (pow alpha 2)))>
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* -1 (/ (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (- (* -17/6 (pow alpha 2)) (+ (* -13/9 (pow alpha 2)) (* 8/3 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2)))))) (pow u0 2))) (+ (* -1 (/ (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2)))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (- (* -124/27 (pow alpha 2)) (+ (* -1/3 (pow alpha 2)) (+ (* 8/3 (- (* -17/6 (pow alpha 2)) (+ (* -13/9 (pow alpha 2)) (* 8/3 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2))))))) (* 52/9 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2))))))) (pow u0 3))) (+ (* -1 (/ (- (* -17/6 (pow alpha 2)) (+ (* -13/9 (pow alpha 2)) (* 8/3 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2)))))) (pow u0 2))) (+ (* -1 (/ (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))))>
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* -1 (/ (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 17/6 (pow alpha 2)) (+ (* -8/3 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2)))) (* 13/9 (pow alpha 2)))) u0)) (* -1 (pow alpha 2))) (* -2/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -124/27 (pow alpha 2)) (+ (* -8/3 (- (* 17/6 (pow alpha 2)) (+ (* -8/3 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2)))) (* 13/9 (pow alpha 2))))) (+ (* -1/3 (pow alpha 2)) (* 52/9 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2))))))) u0)) (* 17/6 (pow alpha 2))) (+ (* -8/3 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2)))) (* 13/9 (pow alpha 2)))) u0)) (* -1 (pow alpha 2))) (* -2/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))>
#<alt (* (pow alpha 2) u0)>
#<alt (* u0 (+ (* 1/8 (* (pow alpha 2) (pow u0 3))) (pow alpha 2)))>
#<alt (* u0 (+ (* (pow u0 3) (+ (* 1/8 (pow alpha 2)) (* 1/4 (* (pow alpha 2) u0)))) (pow alpha 2)))>
#<alt (* u0 (+ (* (pow u0 3) (+ (* 1/8 (pow alpha 2)) (* u0 (+ (* 1/4 (pow alpha 2)) (* 17/48 (* (pow alpha 2) u0)))))) (pow alpha 2)))>
#<alt (* 1/64 (* (pow alpha 2) (pow u0 10)))>
#<alt (* (pow u0 10) (+ (* 1/64 (pow alpha 2)) (* 1/16 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 10) (+ (* 1/64 (pow alpha 2)) (+ (* 1/16 (/ (pow alpha 2) u0)) (* 17/96 (/ (pow alpha 2) (pow u0 2))))))>
#<alt (* (pow u0 10) (+ (* 1/64 (pow alpha 2)) (+ (* 1/16 (/ (pow alpha 2) u0)) (+ (* 17/96 (/ (pow alpha 2) (pow u0 2))) (* 31/108 (/ (pow alpha 2) (pow u0 3)))))))>
#<alt (* 1/64 (* (pow alpha 2) (pow u0 10)))>
#<alt (* (pow u0 10) (+ (* 1/64 (pow alpha 2)) (* 1/16 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 10) (+ (* -1 (/ (+ (* -17/96 (/ (pow alpha 2) u0)) (* -1/16 (pow alpha 2))) u0)) (* 1/64 (pow alpha 2))))>
#<alt (* (pow u0 10) (+ (* -1 (/ (+ (* -1 (/ (+ (* 17/96 (pow alpha 2)) (* 31/108 (/ (pow alpha 2) u0))) u0)) (* -1/16 (pow alpha 2))) u0)) (* 1/64 (pow alpha 2))))>
#<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 (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 (* -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 -1/3>
#<alt (- (* -1/4 u0) 1/3)>
#<alt (- (* -1/4 u0) 1/3)>
#<alt (- (* -1/4 u0) 1/3)>
#<alt (* -1/4 u0)>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1/4 u0)>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1/2 (pow u0 2))>
#<alt (* (pow u0 2) (- (* -1/3 u0) 1/2))>
#<alt (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))>
#<alt (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))>
#<alt (* -1/4 (pow u0 4))>
#<alt (* -1 (* (pow u0 4) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* -1/4 (pow u0 4))>
#<alt (* -1 (* (pow u0 4) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* 1/4 u0)>
#<alt (* u0 (+ 1/4 (* 1/3 u0)))>
#<alt (* u0 (+ 1/4 (* u0 (+ 1/3 (* 13/36 u0)))))>
#<alt (* u0 (+ 1/4 (* u0 (+ 1/3 (* u0 (+ 13/36 (* 1/6 u0)))))))>
#<alt (* 1/16 (pow u0 5))>
#<alt (* (pow u0 5) (+ 1/16 (* 1/6 (/ 1 u0))))>
#<alt (* (pow u0 5) (+ 1/16 (+ (/ 13/36 (pow u0 2)) (* 1/6 (/ 1 u0)))))>
#<alt (* (pow u0 5) (+ 1/16 (+ (/ 13/36 (pow u0 2)) (+ (* 1/6 (/ 1 u0)) (* 1/3 (/ 1 (pow u0 3)))))))>
#<alt (* 1/16 (pow u0 5))>
#<alt (* (pow u0 5) (+ 1/16 (* 1/6 (/ 1 u0))))>
#<alt (* -1 (* (pow u0 5) (- (* -1 (/ (+ 1/6 (* 13/36 (/ 1 u0))) u0)) 1/16)))>
#<alt (* -1 (* (pow u0 5) (- (* -1 (/ (+ 1/6 (+ (/ 1/3 (pow u0 2)) (* 13/36 (/ 1 u0)))) u0)) 1/16)))>
#<alt (* -1/2 u0)>
#<alt (* u0 (- (* -1/3 u0) 1/2))>
#<alt (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))>
#<alt (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))>
#<alt (* -1/4 (pow u0 3))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* -1/4 (pow u0 3))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))>
#<alt (* 1/2 u0)>
#<alt (* u0 (+ 1/2 (* 1/3 u0)))>
#<alt (* u0 (+ 1/2 (* u0 (+ 1/3 (* 1/4 u0)))))>
#<alt (* u0 (+ 1/2 (* u0 (+ 1/3 (* 1/4 u0)))))>
#<alt (* 1/4 (pow u0 3))>
#<alt (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0))))>
#<alt (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0)))))>
#<alt (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0)))))>
#<alt (* 1/4 (pow u0 3))>
#<alt (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0))))>
#<alt (* -1 (* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4)))>
#<alt (* -1 (* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4)))>
Calls

99 calls:

TimeVariablePointExpression
16.0ms
alpha
@0
(* (* (neg alpha) alpha) (log (+ 1 (/ (* u0 (* u0 u0)) (neg (+ 0 (+ (* u0 u0) (* 0 u0))))))))
5.0ms
alpha
@0
(/ (* (neg (* alpha (* alpha u0))) (+ (* (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))) -1)) (+ (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))) (- 1 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0)))))
2.0ms
alpha
@0
(* (* (neg alpha) alpha) (* u0 (/ (+ (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))) -1) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) 1))))
1.0ms
u0
@inf
(/ (* (neg (* alpha (* alpha u0))) (+ (* (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))) -1)) (+ (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))) (- 1 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0)))))
1.0ms
u0
@inf
(* (* (neg alpha) alpha) (* u0 (/ (+ (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))) -1) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) 1))))

rewrite194.0ms (1.8%)

Memory
7.7MiB live, 286.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 016×accelerator-lowering-fma.f32
2 016×accelerator-lowering-fma.f64
1 616×*-lowering-*.f32
1 616×*-lowering-*.f64
966×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049358
1327262
03152221
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
25 → 663
Calls
Call 1
Inputs
(/ (* u0 (* u0 u0)) (neg (+ 0 (+ (* u0 u0) (* 0 u0)))))
(* 0 u0)
(+ 0 (+ (* u0 u0) (* 0 u0)))
(+ (* u0 u0) (* 0 u0))
(* (* alpha u0) alpha)
(* alpha u0)
(* (* (* alpha u0) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)) (neg alpha))
(* (* alpha u0) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1))
(+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)
(* (* (neg alpha) alpha) (* u0 (/ (+ (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))) -1) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) 1))))
(* (neg alpha) alpha)
(neg alpha)
(* u0 (/ (+ (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))) -1) (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) 1)))
(+ (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))) (- 1 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0))))
(- 1 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0)))
(/ (* (neg (* alpha (* alpha u0))) (+ (* (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))) -1)) (+ (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))) (- 1 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0)))))
(* (neg (* alpha (* alpha u0))) (+ (* (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) (* u0 (* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))) -1))
(* (* (neg alpha) alpha) (log (+ 1 (/ (* u0 (* u0 u0)) (neg (+ 0 (+ (* u0 u0) (* 0 u0))))))))
(* u0 (* u0 u0))
(log (+ 1 (/ (* u0 (* u0 u0)) (neg (+ 0 (+ (* u0 u0) (* 0 u0)))))))
(+ (* u0 -1/4) -1/3)
(* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 u0))
(* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))
(* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))
(* (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2) (neg u0))
Outputs
(neg.f32 u0)
(neg.f32 (/.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 u0)))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 u0))))
(+.f32 #s(literal 0 binary32) (neg.f32 u0))
(pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u0)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) u0)
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 u0)))
(/.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (neg.f32 u0)))
(/.f32 (*.f32 u0 (neg.f32 u0)) u0)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u0))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 u0)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u0)) #s(literal 1 binary32)))
(/.f32 (*.f32 u0 (*.f32 u0 (neg.f32 u0))) (*.f32 u0 u0))
(/.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1 binary32)) (*.f32 u0 (neg.f32 u0)))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))) (*.f32 u0 (neg.f32 u0)))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 (neg.f32 u0)))) (*.f32 u0 u0))
(/.f32 (neg.f32 (*.f32 u0 (*.f32 u0 (neg.f32 u0)))) (*.f32 u0 (neg.f32 u0)))
(/.f32 (/.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal -1 binary32)) (*.f32 u0 u0))
(*.f32 u0 #s(literal -1 binary32))
(*.f32 u0 (/.f32 (*.f32 u0 u0) (*.f32 u0 (neg.f32 u0))))
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (/.f32 #s(literal -1 binary32) (*.f32 u0 u0)))
(*.f32 (*.f32 u0 u0) (*.f32 u0 (/.f32 #s(literal -1 binary32) (*.f32 u0 u0))))
(*.f32 (*.f32 u0 u0) (/.f32 u0 (*.f32 u0 (neg.f32 u0))))
(*.f32 #s(literal -1 binary32) u0)
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 u0)))
(*.f32 #s(literal 1 binary32) (neg.f32 u0))
(*.f32 (neg.f32 u0) #s(literal 1 binary32))
(*.f32 (*.f32 u0 (*.f32 u0 (neg.f32 u0))) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0)))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))
(*.f32 (/.f32 (*.f32 u0 u0) (*.f32 u0 (neg.f32 u0))) u0)
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0))) (/.f32 #s(literal -1 binary32) (*.f32 u0 u0)))
(*.f32 (/.f32 u0 #s(literal -1 binary32)) (/.f32 (*.f32 u0 u0) (*.f32 u0 u0)))
(*.f32 (*.f32 #s(literal 1 binary32) u0) (/.f32 (*.f32 u0 u0) (*.f32 u0 (neg.f32 u0))))
(*.f32 (/.f32 (*.f32 u0 u0) #s(literal -1 binary32)) (/.f32 u0 (*.f32 u0 u0)))
#s(literal 0 binary32)
(neg.f32 (*.f32 u0 (neg.f32 u0)))
(exp.f32 (*.f32 (log.f32 u0) #s(literal 2 binary32)))
(+.f32 #s(literal 0 binary32) (*.f32 u0 u0))
(+.f32 (*.f32 u0 u0) #s(literal 0 binary32))
(pow.f32 u0 #s(literal 2 binary32))
(fma.f32 u0 u0 #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 u0 (neg.f32 u0)) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 u0 u0) #s(literal 0 binary32))
(fma.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) #s(literal 0 binary32))
(fma.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (/.f32 #s(literal -1 binary32) (*.f32 u0 u0)) #s(literal 0 binary32))
(fma.f32 (pow.f32 u0 #s(literal 1 binary32)) (pow.f32 u0 #s(literal 1 binary32)) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 u0 (neg.f32 u0)))
(-.f32 (*.f32 u0 u0) #s(literal 0 binary32))
(-.f32 (*.f32 u0 u0) (/.f32 #s(literal 0 binary32) (*.f32 u0 u0)))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 u0 (neg.f32 u0))) (*.f32 u0 (neg.f32 u0)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (neg.f32 u0)) (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))))))
(/.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))))
(/.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) (*.f32 u0 u0))
(/.f32 (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (*.f32 u0 (neg.f32 u0)))
(/.f32 (neg.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))))
(/.f32 (neg.f32 (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))))) (*.f32 u0 u0))
(/.f32 (-.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) #s(literal 0 binary32)) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))))
(/.f32 (/.f32 (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) #s(literal -1 binary32)) (*.f32 u0 u0))
(*.f32 u0 u0)
(*.f32 #s(literal -1 binary32) (*.f32 u0 (neg.f32 u0)))
(*.f32 #s(literal 1 binary32) (*.f32 u0 u0))
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))))
(*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0)))
(*.f32 (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (/.f32 #s(literal -1 binary32) (*.f32 u0 u0)))
(*.f32 (pow.f32 u0 #s(literal 1 binary32)) (pow.f32 u0 #s(literal 1 binary32)))
(neg.f32 (*.f32 u0 (neg.f32 u0)))
(exp.f32 (*.f32 (log.f32 u0) #s(literal 2 binary32)))
(+.f32 #s(literal 0 binary32) (*.f32 u0 u0))
(+.f32 (*.f32 u0 u0) #s(literal 0 binary32))
(pow.f32 u0 #s(literal 2 binary32))
(fma.f32 u0 u0 #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 u0 (neg.f32 u0)) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 u0 u0) #s(literal 0 binary32))
(fma.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) #s(literal 0 binary32))
(fma.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (/.f32 #s(literal -1 binary32) (*.f32 u0 u0)) #s(literal 0 binary32))
(fma.f32 (pow.f32 u0 #s(literal 1 binary32)) (pow.f32 u0 #s(literal 1 binary32)) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 u0 (neg.f32 u0)))
(-.f32 (*.f32 u0 u0) #s(literal 0 binary32))
(-.f32 (*.f32 u0 u0) (/.f32 #s(literal 0 binary32) (*.f32 u0 u0)))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 u0 (neg.f32 u0))) (*.f32 u0 (neg.f32 u0)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 u0) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (neg.f32 u0)) (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))))))
(/.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))))
(/.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) (*.f32 u0 u0))
(/.f32 (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (*.f32 u0 (neg.f32 u0)))
(/.f32 (neg.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))) (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))))
(/.f32 (neg.f32 (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))))) (*.f32 u0 u0))
(/.f32 (-.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) #s(literal 0 binary32)) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))))
(/.f32 (/.f32 (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) #s(literal -1 binary32)) (*.f32 u0 u0))
(*.f32 u0 u0)
(*.f32 #s(literal -1 binary32) (*.f32 u0 (neg.f32 u0)))
(*.f32 #s(literal 1 binary32) (*.f32 u0 u0))
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))) (/.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))))
(*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0)))
(*.f32 (neg.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))) (/.f32 #s(literal -1 binary32) (*.f32 u0 u0)))
(*.f32 (pow.f32 u0 #s(literal 1 binary32)) (pow.f32 u0 #s(literal 1 binary32)))
(*.f32 u0 (*.f32 alpha alpha))
(*.f32 alpha (*.f32 u0 alpha))
(*.f32 (*.f32 u0 alpha) alpha)
(*.f32 (*.f32 alpha alpha) u0)
(*.f32 u0 alpha)
(*.f32 alpha u0)
(neg.f32 (*.f32 (*.f32 u0 alpha) (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
(neg.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (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 (*.f32 (*.f32 alpha (*.f32 (*.f32 u0 alpha) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.f32 (*.f32 u0 u0) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (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 #s(literal 1 binary32) (fma.f32 (*.f32 u0 u0) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (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 (*.f32 (*.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)))))
(neg.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))) (*.f32 alpha alpha)))
(neg.f32 (/.f32 (*.f32 alpha (*.f32 (*.f32 u0 alpha) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.f32 (*.f32 u0 u0) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (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)))) (fma.f32 (*.f32 u0 u0) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (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 (/.f32 (*.f32 (neg.f32 alpha) (*.f32 (*.f32 u0 alpha) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.f32 (*.f32 u0 u0) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (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 (fma.f32 (*.f32 u0 u0) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32))))))
(+.f32 (*.f32 (neg.f32 alpha) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha)))) (*.f32 (neg.f32 alpha) (*.f32 u0 (neg.f32 alpha))))
(+.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha))) (neg.f32 alpha)) (*.f32 (*.f32 u0 (neg.f32 alpha)) (neg.f32 alpha)))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))) #s(literal -1 binary32))
(fma.f32 (neg.f32 alpha) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha))) (*.f32 (neg.f32 alpha) (*.f32 u0 (neg.f32 alpha))))
(fma.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha))) (neg.f32 alpha) (*.f32 (*.f32 u0 (neg.f32 alpha)) (neg.f32 alpha)))
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u0 alpha) (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))) #s(literal 1 binary32)))
(/.f32 (*.f32 u0 (*.f32 alpha (neg.f32 alpha))) (/.f32 #s(literal 1 binary32) (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))))
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simplify463.0ms (4.2%)

Memory
-22.5MiB live, 649.1MiB allocated
Algorithm
1×egg-herbie
Rules
11 082×accelerator-lowering-fma.f32
11 082×accelerator-lowering-fma.f64
5 436×*-lowering-*.f32
5 436×*-lowering-*.f64
3 308×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05555286
118105098
258085038
084444572
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
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)
0
0
0
0
0
0
0
0
0
0
0
0
(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)
(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)
(* (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)
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(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
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(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* alpha u0)
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* (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)))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
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(* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* alpha (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* -1 (* alpha u0))
(* u0 (+ (* -1 alpha) (* -1/2 (* alpha u0))))
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(* -1/4 (* alpha (pow u0 4)))
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(* (pow u0 4) (+ (* -1/2 (/ alpha (pow u0 2))) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha))))
(* (pow u0 4) (+ (* -1 (/ alpha (pow u0 3))) (+ (* -1/2 (/ alpha (pow u0 2))) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha)))))
(* -1/4 (* alpha (pow u0 4)))
(* (pow u0 4) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha)))
(* (pow u0 4) (+ (* -1 (/ (+ (* 1/3 alpha) (* 1/2 (/ alpha u0))) u0)) (* -1/4 alpha)))
(* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ alpha u0)) (* -1/2 alpha)) u0)) (* 1/3 alpha)) u0)) (* -1/4 alpha)))
-1
(- (* -1/2 u0) 1)
(- (* u0 (- (* -1/3 u0) 1/2)) 1)
(- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)
(* -1/4 (pow u0 3))
(* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) (pow u0 2))) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1/4 (pow u0 3))
(* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))
(* -1 (* (pow u0 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2)) 1))) (+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (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 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
(* (pow u0 4) (+ (* -1 (/ (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* (pow u0 4) (+ (* -1 (/ (- (* -13/9 (pow alpha 2)) (+ (* -1/2 (pow alpha 2)) (* 4/3 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2)))))) (pow u0 2))) (+ (* -1 (/ (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2)))))
(* (pow u0 4) (+ (* -1 (/ (- (* -13/9 (pow alpha 2)) (+ (* -1/2 (pow alpha 2)) (* 4/3 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2)))))) (pow u0 2))) (+ (* -1 (/ (- (* -4/3 (pow alpha 2)) (+ (* 4/3 (- (* -13/9 (pow alpha 2)) (+ (* -1/2 (pow alpha 2)) (* 4/3 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2))))))) (+ (* 2 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2)))) (pow alpha 2)))) (pow u0 3))) (+ (* -1 (/ (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
(* (pow u0 4) (+ (* -1 (/ (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* (pow u0 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 13/9 (pow alpha 2)) (+ (* -4/3 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2)))) (* 1/2 (pow alpha 2)))) u0)) (* -2/3 (pow alpha 2))) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* (pow u0 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -4/3 (pow alpha 2)) (+ (* -4/3 (- (* 13/9 (pow alpha 2)) (+ (* -4/3 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2)))) (* 1/2 (pow alpha 2))))) (+ (* 2 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2)))) (pow alpha 2)))) u0)) (* 13/9 (pow alpha 2))) (+ (* -4/3 (- (* -2/3 (pow alpha 2)) (* -1/3 (pow alpha 2)))) (* 1/2 (pow alpha 2)))) u0)) (* -2/3 (pow alpha 2))) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 (pow alpha 2))
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 alpha)
(* -1 u0)
(* u0 (- (* -1/2 u0) 1))
(* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))
(* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(* -1/4 (pow u0 4))
(* -1 (* (pow u0 4) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(* (pow u0 4) (- (* -1 (/ (+ 1/2 (/ 1 u0)) (pow u0 2))) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1/4 (pow u0 4))
(* -1 (* (pow u0 4) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(* (pow u0 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u0)) (/ 1 (pow u0 2)))) u0)) 1/4))
1
(+ 1 (* -1/2 u0))
(+ 1 (* u0 (- (* -1/12 u0) 1/2)))
(+ 1 (* u0 (- (* u0 (- (* 1/12 u0) 1/12)) 1/2)))
(* 1/16 (pow u0 6))
(* (pow u0 6) (+ 1/16 (* 1/6 (/ 1 u0))))
(* (pow u0 6) (+ 1/16 (+ (/ 13/36 (pow u0 2)) (* 1/6 (/ 1 u0)))))
(* (pow u0 6) (+ 1/16 (+ (/ 13/36 (pow u0 2)) (+ (* 1/6 (/ 1 u0)) (* 1/12 (/ 1 (pow u0 3)))))))
(* 1/16 (pow u0 6))
(* (pow u0 6) (+ 1/16 (* 1/6 (/ 1 u0))))
(* (pow u0 6) (+ 1/16 (+ (/ 13/36 (pow u0 2)) (* 1/6 (/ 1 u0)))))
(* (pow u0 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/12 (/ 1 u0))) u0)) 1/6) u0))))
1
(+ 1 (* -1/2 u0))
(+ 1 (* u0 (- (* -1/3 u0) 1/2)))
(+ 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))
(* -1/4 (pow u0 3))
(* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(* (pow u0 3) (- (/ 1 (pow u0 3)) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))
(* -1/4 (pow u0 3))
(* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))
(* -1 (* (pow u0 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (- 1/2 (/ 1 u0)) u0)) 1/3) u0)))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))
(* -1 (/ (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))) (- (+ 1 (* (pow u0 2) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 2))) (* -1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))))
(* (pow alpha 2) u0)
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/12 (pow alpha 2)) (* 1/4 (pow alpha 2)))))) (pow alpha 2)))
(* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* -1 (* u0 (- (* -1/8 (pow alpha 2)) (+ (* -1/12 (pow alpha 2)) (+ (* 1/24 (pow alpha 2)) (* 1/2 (+ (* 1/12 (pow alpha 2)) (* 1/4 (pow alpha 2))))))))) (+ (* 1/12 (pow alpha 2)) (* 1/4 (pow alpha 2))))))) (pow alpha 2)))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
(* (pow u0 4) (+ (* -1 (/ (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* (pow u0 4) (+ (* -1 (/ (- (* -17/6 (pow alpha 2)) (+ (* -13/9 (pow alpha 2)) (* 8/3 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2)))))) (pow u0 2))) (+ (* -1 (/ (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2)))))
(* (pow u0 4) (+ (* -1 (/ (- (* -124/27 (pow alpha 2)) (+ (* -1/3 (pow alpha 2)) (+ (* 8/3 (- (* -17/6 (pow alpha 2)) (+ (* -13/9 (pow alpha 2)) (* 8/3 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2))))))) (* 52/9 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2))))))) (pow u0 3))) (+ (* -1 (/ (- (* -17/6 (pow alpha 2)) (+ (* -13/9 (pow alpha 2)) (* 8/3 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2)))))) (pow u0 2))) (+ (* -1 (/ (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
(* (pow u0 4) (+ (* -1 (/ (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* (pow u0 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 17/6 (pow alpha 2)) (+ (* -8/3 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2)))) (* 13/9 (pow alpha 2)))) u0)) (* -1 (pow alpha 2))) (* -2/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* (pow u0 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -124/27 (pow alpha 2)) (+ (* -8/3 (- (* 17/6 (pow alpha 2)) (+ (* -8/3 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2)))) (* 13/9 (pow alpha 2))))) (+ (* -1/3 (pow alpha 2)) (* 52/9 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2))))))) u0)) (* 17/6 (pow alpha 2))) (+ (* -8/3 (- (* -1 (pow alpha 2)) (* -2/3 (pow alpha 2)))) (* 13/9 (pow alpha 2)))) u0)) (* -1 (pow alpha 2))) (* -2/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* (pow u0 3) (pow (- (* u0 (- (* -1/4 u0) 1/3)) 1/2) 3)) 1))))
(* (pow alpha 2) u0)
(* u0 (+ (* 1/8 (* (pow alpha 2) (pow u0 3))) (pow alpha 2)))
(* u0 (+ (* (pow u0 3) (+ (* 1/8 (pow alpha 2)) (* 1/4 (* (pow alpha 2) u0)))) (pow alpha 2)))
(* u0 (+ (* (pow u0 3) (+ (* 1/8 (pow alpha 2)) (* u0 (+ (* 1/4 (pow alpha 2)) (* 17/48 (* (pow alpha 2) u0)))))) (pow alpha 2)))
(* 1/64 (* (pow alpha 2) (pow u0 10)))
(* (pow u0 10) (+ (* 1/64 (pow alpha 2)) (* 1/16 (/ (pow alpha 2) u0))))
(* (pow u0 10) (+ (* 1/64 (pow alpha 2)) (+ (* 1/16 (/ (pow alpha 2) u0)) (* 17/96 (/ (pow alpha 2) (pow u0 2))))))
(* (pow u0 10) (+ (* 1/64 (pow alpha 2)) (+ (* 1/16 (/ (pow alpha 2) u0)) (+ (* 17/96 (/ (pow alpha 2) (pow u0 2))) (* 31/108 (/ (pow alpha 2) (pow u0 3)))))))
(* 1/64 (* (pow alpha 2) (pow u0 10)))
(* (pow u0 10) (+ (* 1/64 (pow alpha 2)) (* 1/16 (/ (pow alpha 2) u0))))
(* (pow u0 10) (+ (* -1 (/ (+ (* -17/96 (/ (pow alpha 2) u0)) (* -1/16 (pow alpha 2))) u0)) (* 1/64 (pow alpha 2))))
(* (pow u0 10) (+ (* -1 (/ (+ (* -1 (/ (+ (* 17/96 (pow alpha 2)) (* 31/108 (/ (pow alpha 2) u0))) u0)) (* -1/16 (pow alpha 2))) u0)) (* 1/64 (pow alpha 2))))
(* -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))))
(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)
(* -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)))
-1/3
(- (* -1/4 u0) 1/3)
(- (* -1/4 u0) 1/3)
(- (* -1/4 u0) 1/3)
(* -1/4 u0)
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1/4 u0)
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1/2 (pow u0 2))
(* (pow u0 2) (- (* -1/3 u0) 1/2))
(* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))
(* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))
(* -1/4 (pow u0 4))
(* -1 (* (pow u0 4) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(* -1/4 (pow u0 4))
(* -1 (* (pow u0 4) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(* 1/4 u0)
(* u0 (+ 1/4 (* 1/3 u0)))
(* u0 (+ 1/4 (* u0 (+ 1/3 (* 13/36 u0)))))
(* u0 (+ 1/4 (* u0 (+ 1/3 (* u0 (+ 13/36 (* 1/6 u0)))))))
(* 1/16 (pow u0 5))
(* (pow u0 5) (+ 1/16 (* 1/6 (/ 1 u0))))
(* (pow u0 5) (+ 1/16 (+ (/ 13/36 (pow u0 2)) (* 1/6 (/ 1 u0)))))
(* (pow u0 5) (+ 1/16 (+ (/ 13/36 (pow u0 2)) (+ (* 1/6 (/ 1 u0)) (* 1/3 (/ 1 (pow u0 3)))))))
(* 1/16 (pow u0 5))
(* (pow u0 5) (+ 1/16 (* 1/6 (/ 1 u0))))
(* -1 (* (pow u0 5) (- (* -1 (/ (+ 1/6 (* 13/36 (/ 1 u0))) u0)) 1/16)))
(* -1 (* (pow u0 5) (- (* -1 (/ (+ 1/6 (+ (/ 1/3 (pow u0 2)) (* 13/36 (/ 1 u0)))) u0)) 1/16)))
(* -1/2 u0)
(* u0 (- (* -1/3 u0) 1/2))
(* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))
(* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))
(* -1/4 (pow u0 3))
(* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(* -1/4 (pow u0 3))
(* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))
(* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))
(* 1/2 u0)
(* u0 (+ 1/2 (* 1/3 u0)))
(* u0 (+ 1/2 (* u0 (+ 1/3 (* 1/4 u0)))))
(* u0 (+ 1/2 (* u0 (+ 1/3 (* 1/4 u0)))))
(* 1/4 (pow u0 3))
(* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0))))
(* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0)))))
(* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0)))))
(* 1/4 (pow u0 3))
(* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0))))
(* -1 (* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4)))
(* -1 (* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4)))
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)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
(pow u0 2)
(*.f32 u0 u0)
(pow u0 2)
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(pow u0 2)
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(* (pow alpha 2) u0)
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(* (pow alpha 2) u0)
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(* (pow alpha 2) u0)
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(* (pow alpha 2) u0)
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(* (pow alpha 2) u0)
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(* (pow alpha 2) u0)
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(* (pow alpha 2) u0)
(*.f32 u0 (*.f32 alpha alpha))
(* (pow alpha 2) u0)
(*.f32 u0 (*.f32 alpha alpha))
(* (pow alpha 2) u0)
(*.f32 u0 (*.f32 alpha alpha))
(* (pow alpha 2) u0)
(*.f32 u0 (*.f32 alpha alpha))
(* (pow alpha 2) u0)
(*.f32 u0 (*.f32 alpha alpha))
(* alpha u0)
(*.f32 u0 alpha)
(* alpha u0)
(*.f32 u0 alpha)
(* alpha u0)
(*.f32 u0 alpha)
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(* alpha u0)
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(* alpha u0)
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(* alpha u0)
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(* alpha u0)
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(+.f32 (-.f32 (log.f32 u0) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u0)) (*.f32 u0 u0))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u0)))
(* -1 (log (/ -1 u0)))
(neg.f32 (neg.f32 (log.f32 (neg.f32 u0))))
(- (* -1 (log (/ -1 u0))) (/ 1 u0))
(-.f32 (/.f32 #s(literal -1 binary32) u0) (neg.f32 (log.f32 (neg.f32 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))))
-1/3
#s(literal -1/3 binary32)
(- (* -1/4 u0) 1/3)
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
(- (* -1/4 u0) 1/3)
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
(- (* -1/4 u0) 1/3)
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
(* -1/4 u0)
(*.f32 u0 #s(literal -1/4 binary32))
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
(* -1/4 u0)
(*.f32 u0 #s(literal -1/4 binary32))
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
(* -1/2 (pow u0 2))
(*.f32 u0 (*.f32 u0 #s(literal -1/2 binary32)))
(* (pow u0 2) (- (* -1/3 u0) 1/2))
(*.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))
(* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))
(*.f32 u0 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))))
(* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))
(*.f32 u0 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))))
(* -1/4 (pow u0 4))
(*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0))
(* -1 (* (pow u0 4) (+ 1/4 (* 1/3 (/ 1 u0)))))
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (-.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/3 binary32) u0)))
(* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) u0)))
(* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) u0)))
(* -1/4 (pow u0 4))
(*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0))
(* -1 (* (pow u0 4) (+ 1/4 (* 1/3 (/ 1 u0)))))
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (-.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/3 binary32) u0)))
(* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) u0)))
(* (pow u0 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) u0)))
(* 1/4 u0)
(*.f32 u0 #s(literal 1/4 binary32))
(* u0 (+ 1/4 (* 1/3 u0)))
(*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/4 binary32)))
(* u0 (+ 1/4 (* u0 (+ 1/3 (* 13/36 u0)))))
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 13/36 binary32) #s(literal 1/3 binary32)) #s(literal 1/4 binary32)))
(* u0 (+ 1/4 (* u0 (+ 1/3 (* u0 (+ 13/36 (* 1/6 u0)))))))
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/6 binary32) #s(literal 13/36 binary32)) #s(literal 1/3 binary32)) #s(literal 1/4 binary32)))
(* 1/16 (pow u0 5))
(*.f32 #s(literal 1/16 binary32) (pow.f32 u0 #s(literal 5 binary32)))
(* (pow u0 5) (+ 1/16 (* 1/6 (/ 1 u0))))
(*.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/6 binary32) u0)) (pow.f32 u0 #s(literal 5 binary32)))
(* (pow u0 5) (+ 1/16 (+ (/ 13/36 (pow u0 2)) (* 1/6 (/ 1 u0)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) u0) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 13/36 binary32) (*.f32 u0 u0)))) (pow.f32 u0 #s(literal 5 binary32)))
(* (pow u0 5) (+ 1/16 (+ (/ 13/36 (pow u0 2)) (+ (* 1/6 (/ 1 u0)) (* 1/3 (/ 1 (pow u0 3)))))))
(*.f32 (pow.f32 u0 #s(literal 5 binary32)) (+.f32 #s(literal 1/16 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) u0) (+.f32 (/.f32 #s(literal 13/36 binary32) (*.f32 u0 u0)) (/.f32 #s(literal 1/3 binary32) (*.f32 u0 (*.f32 u0 u0)))))))
(* 1/16 (pow u0 5))
(*.f32 #s(literal 1/16 binary32) (pow.f32 u0 #s(literal 5 binary32)))
(* (pow u0 5) (+ 1/16 (* 1/6 (/ 1 u0))))
(*.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/6 binary32) u0)) (pow.f32 u0 #s(literal 5 binary32)))
(* -1 (* (pow u0 5) (- (* -1 (/ (+ 1/6 (* 13/36 (/ 1 u0))) u0)) 1/16)))
(*.f32 (-.f32 #s(literal -1/16 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 13/36 binary32) u0)) u0)) (neg.f32 (pow.f32 u0 #s(literal 5 binary32))))
(* -1 (* (pow u0 5) (- (* -1 (/ (+ 1/6 (+ (/ 1/3 (pow u0 2)) (* 13/36 (/ 1 u0)))) u0)) 1/16)))
(*.f32 (-.f32 #s(literal -1/16 binary32) (/.f32 (+.f32 (/.f32 #s(literal 13/36 binary32) u0) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u0 u0)))) u0)) (neg.f32 (pow.f32 u0 #s(literal 5 binary32))))
(* -1/2 u0)
(*.f32 u0 #s(literal -1/2 binary32))
(* u0 (- (* -1/3 u0) 1/2))
(*.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))
(* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))
(* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))
(* -1/4 (pow u0 3))
(*.f32 #s(literal -1/4 binary32) (*.f32 u0 (*.f32 u0 u0)))
(* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))
(*.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)))
(* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) u0)))
(* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(*.f32 (*.f32 u0 (*.f32 u0 u0)) (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) u0)))
(* -1/4 (pow u0 3))
(*.f32 #s(literal -1/4 binary32) (*.f32 u0 (*.f32 u0 u0)))
(* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))
(*.f32 (*.f32 u0 u0) (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)))
(* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))
(fma.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u0 u0))) (neg.f32 (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 u0) #s(literal -1/3 binary32)))
(* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))
(fma.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u0 u0))) (neg.f32 (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 u0 u0) #s(literal -1/3 binary32)))
(* 1/2 u0)
(*.f32 u0 #s(literal 1/2 binary32))
(* u0 (+ 1/2 (* 1/3 u0)))
(*.f32 u0 (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
(* u0 (+ 1/2 (* u0 (+ 1/3 (* 1/4 u0)))))
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))
(* u0 (+ 1/2 (* u0 (+ 1/3 (* 1/4 u0)))))
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))
(* 1/4 (pow u0 3))
(*.f32 #s(literal 1/4 binary32) (*.f32 u0 (*.f32 u0 u0)))
(* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0))))
(*.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))
(* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0)))))
(fma.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u0 u0))) (*.f32 u0 (*.f32 u0 #s(literal 1/3 binary32))))
(* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0)))))
(fma.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u0 u0))) (*.f32 u0 (*.f32 u0 #s(literal 1/3 binary32))))
(* 1/4 (pow u0 3))
(*.f32 #s(literal 1/4 binary32) (*.f32 u0 (*.f32 u0 u0)))
(* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0))))
(*.f32 u0 (*.f32 u0 (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))
(* -1 (* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4)))
(*.f32 (neg.f32 u0) (*.f32 (*.f32 u0 u0) (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) u0))))
(* -1 (* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4)))
(*.f32 (neg.f32 u0) (*.f32 (*.f32 u0 u0) (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) u0))))

eval174.0ms (1.6%)

Memory
41.4MiB live, 437.9MiB allocated
Compiler

Compiled 71 287 to 3 449 computations (95.2% saved)

prune234.0ms (2.1%)

Memory
-30.5MiB live, 482.4MiB allocated
Pruning

51 alts after pruning (45 fresh and 6 done)

PrunedKeptTotal
New1 491301 521
Fresh121527
Picked235
Done134
Total1 506511 557
Accuracy
100.0%
Counts
1 557 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.2%
(fma.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) (neg.f32 (*.f32 alpha alpha)) (*.f32 (neg.f32 u0) (neg.f32 (*.f32 alpha alpha))))
▶93.2%
(fma.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) #s(literal -1 binary32) (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))
93.0%
(/.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.f32 u0 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.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))) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/12 binary32) #s(literal -1/12 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
88.7%
(/.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.f32 u0 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.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))) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal 1 binary32)))
92.8%
(/.f32 (*.f32 u0 (*.f32 alpha (neg.f32 alpha))) (/.f32 #s(literal 1 binary32) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
92.8%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))))
93.4%
(*.f32 (fma.f32 (neg.f32 u0) alpha (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha)))) (neg.f32 alpha))
92.9%
(*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (*.f32 u0 (*.f32 alpha (neg.f32 alpha))))
85.9%
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) u0))
57.6%
(*.f32 (/.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) alpha) (*.f32 alpha alpha)) (log.f32 (-.f32 #s(literal 1 binary32) 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)))
93.1%
(*.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha) u0) (neg.f32 alpha))
92.3%
(*.f32 (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (fma.f32 alpha #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 alpha #s(literal 1/3 binary32)) (/.f32 (fma.f32 alpha #s(literal -1/2 binary32) (/.f32 alpha (neg.f32 u0))) u0)) (neg.f32 u0)))) (neg.f32 alpha))
92.9%
(*.f32 (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (-.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 alpha (*.f32 u0 u0)) (fma.f32 alpha #s(literal -1/4 binary32) (/.f32 (*.f32 alpha #s(literal -1/3 binary32)) u0))) (/.f32 alpha (*.f32 u0 (*.f32 u0 u0))))) (neg.f32 alpha))
92.9%
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (fma.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (*.f32 u0 u0)) (fma.f32 alpha (/.f32 alpha (*.f32 u0 (*.f32 u0 u0))) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 alpha alpha) u0))))))
▶92.5%
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha #s(literal -1/3 binary32)) (/.f32 (fma.f32 alpha (/.f32 alpha u0) (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))) (neg.f32 u0))) (neg.f32 u0))))
91.9%
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (/.f32 (-.f32 (*.f32 alpha (*.f32 alpha #s(literal -1/3 binary32))) (/.f32 (-.f32 (neg.f32 (fma.f32 (*.f32 alpha alpha) #s(literal -17/18 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 4/9 binary32)))) (/.f32 (fma.f32 #s(literal -4/3 binary32) (fma.f32 alpha alpha (fma.f32 (*.f32 alpha alpha) #s(literal -17/18 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 4/9 binary32)))) (*.f32 alpha (*.f32 alpha #s(literal -1/3 binary32)))) u0)) u0)) (neg.f32 u0))))
92.7%
(*.f32 (*.f32 (*.f32 u0 (*.f32 alpha (neg.f32 alpha))) (fma.f32 (*.f32 u0 u0) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (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 #s(literal 1 binary32) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32))))
92.9%
(*.f32 (*.f32 (*.f32 alpha (neg.f32 alpha)) (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))) u0)
✓93.0%
(*.f32 (*.f32 (*.f32 alpha 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))
90.9%
(*.f32 (*.f32 (*.f32 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha))
86.0%
(*.f32 (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) (neg.f32 alpha))
93.0%
(*.f32 (*.f32 (*.f32 alpha u0) (-.f32 (*.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))
92.2%
(*.f32 (*.f32 (*.f32 alpha u0) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) u0)) u0) #s(literal -1/4 binary32)))) (neg.f32 alpha))
93.2%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) u0 (neg.f32 u0)))
93.0%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (fma.f32 (*.f32 u0 u0) (/.f32 u0 (*.f32 u0 (neg.f32 u0))) (*.f32 (*.f32 u0 u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))
93.1%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 u0)) (*.f32 (*.f32 u0 u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))
98.6%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 (*.f32 u0 u0) (neg.f32 u0))) (log1p.f32 (fma.f32 u0 u0 u0))))
59.6%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) (*.f32 #s(literal 2 binary32) (log1p.f32 (fma.f32 u0 u0 u0)))))
92.4%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))) u0))))
92.1%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (+.f32 (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) u0)) u0) #s(literal -1/4 binary32))))
92.8%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (*.f32 u0 u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))))
90.7%
(*.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))))
85.8%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
✓92.8%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (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)))))
93.6%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))
92.5%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (*.f32 (*.f32 u0 u0) (fma.f32 u0 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) (*.f32 u0 u0)) #s(literal -1/4 binary32)) #s(literal -1/3 binary32)))))
98.4%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))))
✓99.0%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
✓57.6%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
▶99.1%
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
86.2%
(*.f32 (*.f32 u0 (fma.f32 u0 (*.f32 alpha #s(literal -1/2 binary32)) (neg.f32 alpha))) (neg.f32 alpha))
▶93.0%
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
✓73.1%
(*.f32 (*.f32 alpha u0) alpha)
▶86.0%
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
91.0%
(*.f32 u0 (fma.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
93.1%
(*.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)))
86.0%
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
82.8%
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 #s(literal -5/3 binary32) u0 #s(literal 1/2 binary32))))))
92.9%
(*.f32 u0 (*.f32 alpha (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha))))
✓73.0%
(*.f32 u0 (*.f32 alpha alpha))
Compiler

Compiled 2 320 to 1 334 computations (42.5% saved)

simplify255.0ms (2.3%)

Memory
10.0MiB live, 454.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(/.f32 (fma.f32 alpha (*.f32 alpha #s(literal -1/3 binary32)) (/.f32 (fma.f32 alpha (/.f32 alpha u0) (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))) (neg.f32 u0))) (neg.f32 u0))
✓cost-diff160
(fma.f32 alpha (/.f32 alpha u0) (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)))
✓cost-diff160
(fma.f32 alpha (*.f32 alpha #s(literal -1/3 binary32)) (/.f32 (fma.f32 alpha (/.f32 alpha u0) (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))) (neg.f32 u0)))
✓cost-diff352
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha #s(literal -1/3 binary32)) (/.f32 (fma.f32 alpha (/.f32 alpha u0) (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))) (neg.f32 u0))) (neg.f32 u0))))
✓cost-diff0
(*.f32 alpha u0)
✓cost-diff0
(*.f32 alpha (*.f32 alpha u0))
✓cost-diff0
(neg.f32 (*.f32 alpha (*.f32 alpha u0)))
✓cost-diff544
(fma.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) #s(literal -1 binary32) (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))
✓cost-diff0
(*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)
✓cost-diff0
(neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha))
✓cost-diff0
(*.f32 u0 alpha)
✓cost-diff0
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
✓cost-diff0
(*.f32 u0 #s(literal 1/2 binary32))
✓cost-diff0
(fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)
✓cost-diff0
(*.f32 alpha alpha)
✓cost-diff0
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
✓cost-diff0
(neg.f32 u0)
✓cost-diff0
(log1p.f32 (neg.f32 u0))
✓cost-diff0
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha))
✓cost-diff0
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
Rules
9 410×accelerator-lowering-fma.f32
9 410×accelerator-lowering-fma.f64
4 824×*-lowering-*.f32
4 824×*-lowering-*.f64
1 332×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052390
1159368
2506365
31961356
44832354
08376318
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (log (+ 1 (neg u0))) (neg alpha)) alpha)
(* (log (+ 1 (neg u0))) (neg alpha))
(log (+ 1 (neg u0)))
(neg u0)
u0
(neg alpha)
alpha
(* (* alpha alpha) (+ (* u0 (* u0 1/2)) u0))
(* alpha alpha)
alpha
(+ (* u0 (* u0 1/2)) u0)
u0
(* u0 1/2)
1/2
(* (* u0 alpha) (neg (* (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1) alpha)))
(* u0 alpha)
u0
alpha
(neg (* (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1) alpha))
(* (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1) alpha)
(+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)
(+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)
(+ (* u0 -1/4) -1/3)
-1/4
-1/3
-1/2
-1
(+ (* (neg (* alpha (* alpha u0))) -1) (* (neg (* alpha (* alpha u0))) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))
(neg (* alpha (* alpha u0)))
(* alpha (* alpha u0))
alpha
(* alpha u0)
u0
-1
(* (neg (* alpha (* alpha u0))) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))
(* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))
(+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)
(+ (* u0 -1/4) -1/3)
-1/4
-1/3
-1/2
(* (* (* u0 (* u0 u0)) u0) (+ (* alpha (* alpha 1/4)) (/ (+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))) (neg u0))))
(* (* u0 (* u0 u0)) u0)
(* u0 (* u0 u0))
u0
(* u0 u0)
(+ (* alpha (* alpha 1/4)) (/ (+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))) (neg u0)))
alpha
(* alpha 1/4)
1/4
(/ (+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))) (neg u0))
(+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0)))
(* alpha -1/3)
-1/3
(/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))
(+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2))
(/ alpha u0)
(* (* alpha alpha) 1/2)
(* alpha alpha)
1/2
(neg u0)
Outputs
(* (* (log (+ 1 (neg u0))) (neg alpha)) alpha)
(neg.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 alpha alpha)))
(* (log (+ 1 (neg u0))) (neg alpha))
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha))
(log (+ 1 (neg u0)))
(log1p.f32 (neg.f32 u0))
(neg u0)
(neg.f32 u0)
u0
(neg alpha)
(neg.f32 alpha)
alpha
(* (* alpha alpha) (+ (* u0 (* u0 1/2)) u0))
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(* alpha alpha)
(*.f32 alpha alpha)
alpha
(+ (* u0 (* u0 1/2)) u0)
(fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)
u0
(* u0 1/2)
(*.f32 u0 #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(* (* u0 alpha) (neg (* (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1) alpha)))
(neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (*.f32 u0 (*.f32 alpha alpha))))
(* u0 alpha)
(*.f32 u0 alpha)
u0
alpha
(neg (* (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1) alpha))
(fma.f32 u0 (*.f32 (neg.f32 alpha) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) alpha)
(* (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1) alpha)
(*.f32 alpha (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)))
(+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)
(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))
(+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)
(fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))
(+ (* u0 -1/4) -1/3)
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
-1/4
#s(literal -1/4 binary32)
-1/3
#s(literal -1/3 binary32)
-1/2
#s(literal -1/2 binary32)
-1
#s(literal -1 binary32)
(+ (* (neg (* alpha (* alpha u0))) -1) (* (neg (* alpha (* alpha u0))) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))
(neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (*.f32 u0 (*.f32 alpha alpha))))
(neg (* alpha (* alpha u0)))
(neg.f32 (*.f32 u0 (*.f32 alpha alpha)))
(* alpha (* alpha u0))
(*.f32 u0 (*.f32 alpha alpha))
alpha
(* alpha u0)
(*.f32 u0 alpha)
u0
-1
#s(literal -1 binary32)
(* (neg (* alpha (* alpha u0))) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))
(*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 alpha (*.f32 u0 (*.f32 u0 (neg.f32 alpha)))))
(* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))
(+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)
(fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))
(+ (* u0 -1/4) -1/3)
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
-1/4
#s(literal -1/4 binary32)
-1/3
#s(literal -1/3 binary32)
-1/2
#s(literal -1/2 binary32)
(* (* (* u0 (* u0 u0)) u0) (+ (* alpha (* alpha 1/4)) (/ (+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))) (neg u0))))
(*.f32 u0 (*.f32 (*.f32 u0 u0) (fma.f32 u0 (*.f32 alpha (*.f32 alpha #s(literal 1/4 binary32))) (*.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0))))))
(* (* u0 (* u0 u0)) u0)
(*.f32 u0 (*.f32 u0 (*.f32 u0 u0)))
(* u0 (* u0 u0))
(*.f32 u0 (*.f32 u0 u0))
u0
(* u0 u0)
(*.f32 u0 u0)
(+ (* alpha (* alpha 1/4)) (/ (+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))) (neg u0)))
(fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0))) u0))
alpha
(* alpha 1/4)
(*.f32 alpha #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(/ (+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))) (neg u0))
(/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/3 binary32) (/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0))) u0)
(+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0)))
(*.f32 alpha (-.f32 (*.f32 alpha #s(literal -1/3 binary32)) (/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)))
(* alpha -1/3)
(*.f32 alpha #s(literal -1/3 binary32))
-1/3
#s(literal -1/3 binary32)
(/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))
(/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) (neg.f32 u0))
(+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2))
(*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)))
(/ alpha u0)
(/.f32 alpha u0)
(* (* alpha alpha) 1/2)
(*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32)))
(* alpha alpha)
(*.f32 alpha alpha)
1/2
#s(literal 1/2 binary32)
(neg u0)
(neg.f32 u0)

localize145.0ms (1.3%)

Memory
29.9MiB live, 303.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(fma.f32 alpha (/.f32 alpha u0) (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)))
✓accuracy99.1%
(/.f32 (fma.f32 alpha (/.f32 alpha u0) (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))) (neg.f32 u0))
✓accuracy99.0%
(*.f32 alpha #s(literal -1/3 binary32))
✓accuracy99.0%
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha #s(literal -1/3 binary32)) (/.f32 (fma.f32 alpha (/.f32 alpha u0) (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))) (neg.f32 u0))) (neg.f32 u0))))
✓accuracy99.2%
(*.f32 alpha (*.f32 alpha u0))
✓accuracy99.2%
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))
✓accuracy99.2%
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
✓accuracy99.1%
(*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))))
✓accuracy99.9%
(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))
✓accuracy99.2%
(fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
✓accuracy99.2%
(*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)
✓accuracy98.9%
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
✓accuracy100.0%
(fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)
✓accuracy100.0%
(*.f32 u0 #s(literal 1/2 binary32))
✓accuracy100.0%
(*.f32 alpha alpha)
✓accuracy98.8%
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
✓accuracy100.0%
(neg.f32 alpha)
✓accuracy100.0%
(log1p.f32 (neg.f32 u0))
✓accuracy99.4%
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha))
✓accuracy99.3%
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
Samples
81.0ms256×0valid
Compiler

Compiled 363 to 52 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 35.0ms (55.5% of total)
ival-add: 9.0ms (14.3% of total)
ival-div: 5.0ms (7.9% of total)
const: 5.0ms (7.9% of total)
ival-log1p: 4.0ms (6.3% of total)
ival-neg: 4.0ms (6.3% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series65.0ms (0.6%)

Memory
-38.8MiB live, 49.1MiB allocated
Counts
27 → 528
Calls
Call 1
Inputs
#<alt (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha)>
#<alt (* (log (+ 1 (neg u0))) (neg alpha))>
#<alt (log (+ 1 (neg u0)))>
#<alt (neg u0)>
#<alt (* (* alpha alpha) (+ (* u0 (* u0 1/2)) u0))>
#<alt (* alpha alpha)>
#<alt (+ (* u0 (* u0 1/2)) u0)>
#<alt (* u0 1/2)>
#<alt (* (* u0 alpha) (neg (* (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1) alpha)))>
#<alt (* u0 alpha)>
#<alt (neg (* (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1) alpha))>
#<alt (* (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1) alpha)>
#<alt (+ (* (neg (* alpha (* alpha u0))) -1) (* (neg (* alpha (* alpha u0))) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))>
#<alt (neg (* alpha (* alpha u0)))>
#<alt (* alpha (* alpha u0))>
#<alt (* alpha u0)>
#<alt (* (* (* u0 (* u0 u0)) u0) (+ (* alpha (* alpha 1/4)) (/ (+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))) (neg u0))))>
#<alt (+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0)))>
#<alt (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2))>
#<alt (/ (+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))) (neg u0))>
#<alt (neg alpha)>
#<alt (+ (* u0 -1/4) -1/3)>
#<alt (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)>
#<alt (* (neg (* alpha (* alpha u0))) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))>
#<alt (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))>
#<alt (* alpha -1/3)>
#<alt (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))>
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 (* 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 (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 u0>
#<alt (* u0 (+ 1 (* 1/2 u0)))>
#<alt (* u0 (+ 1 (* 1/2 u0)))>
#<alt (* u0 (+ 1 (* 1/2 u0)))>
#<alt (* 1/2 (pow u0 2))>
#<alt (* (pow u0 2) (+ 1/2 (/ 1 u0)))>
#<alt (* (pow u0 2) (+ 1/2 (/ 1 u0)))>
#<alt (* (pow u0 2) (+ 1/2 (/ 1 u0)))>
#<alt (* 1/2 (pow u0 2))>
#<alt (* (pow u0 2) (+ 1/2 (/ 1 u0)))>
#<alt (* (pow u0 2) (+ 1/2 (/ 1 u0)))>
#<alt (* (pow u0 2) (+ 1/2 (/ 1 u0)))>
#<alt (* 1/2 u0)>
#<alt (* 1/2 u0)>
#<alt (* 1/2 u0)>
#<alt (* 1/2 u0)>
#<alt (* 1/2 u0)>
#<alt (* 1/2 u0)>
#<alt (* 1/2 u0)>
#<alt (* 1/2 u0)>
#<alt (* 1/2 u0)>
#<alt (* 1/2 u0)>
#<alt (* 1/2 u0)>
#<alt (* 1/2 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 (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))>
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* (pow alpha 2) (* u0 (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* (pow alpha 2) (* u0 (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* (pow alpha 2) (* u0 (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* (pow alpha 2) (* u0 (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<alt (* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))>
#<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 alpha>
#<alt (- (* 1/2 (* alpha u0)) (* -1 alpha))>
#<alt (- (* u0 (- (* 1/3 (* alpha u0)) (* -1/2 alpha))) (* -1 alpha))>
#<alt (- (* u0 (- (* u0 (- (* 1/4 (* alpha u0)) (* -1/3 alpha))) (* -1/2 alpha))) (* -1 alpha))>
#<alt (* 1/4 (* alpha (pow u0 3)))>
#<alt (* (pow u0 3) (- (* 1/3 (/ alpha u0)) (* -1/4 alpha)))>
#<alt (* (pow u0 3) (- (* 1/2 (/ alpha (pow u0 2))) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha))))>
#<alt (* (pow u0 3) (- (/ alpha (pow u0 3)) (+ (* -1/2 (/ alpha (pow u0 2))) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha)))))>
#<alt (* 1/4 (* alpha (pow u0 3)))>
#<alt (* -1 (* (pow u0 3) (- (* -1/3 (/ alpha u0)) (* 1/4 alpha))))>
#<alt (* -1 (* (pow u0 3) (- (* -1 (/ (- (* 1/2 (/ alpha u0)) (* -1/3 alpha)) u0)) (* 1/4 alpha))))>
#<alt (* -1 (* (pow u0 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ alpha u0)) (* 1/2 alpha)) u0)) (* -1/3 alpha)) u0)) (* 1/4 alpha))))>
#<alt (* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* -1 (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* -1 (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* -1 (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* -1 (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))>
#<alt (* -1 alpha)>
#<alt (+ (* -1 alpha) (* -1/2 (* alpha u0)))>
#<alt (+ (* -1 alpha) (* u0 (+ (* -1/2 alpha) (* -1/3 (* alpha u0)))))>
#<alt (+ (* -1 alpha) (* u0 (+ (* -1/2 alpha) (* u0 (+ (* -1/3 alpha) (* -1/4 (* alpha u0)))))))>
#<alt (* -1/4 (* alpha (pow u0 3)))>
#<alt (* (pow u0 3) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha)))>
#<alt (* (pow u0 3) (+ (* -1/2 (/ alpha (pow u0 2))) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha))))>
#<alt (* (pow u0 3) (+ (* -1 (/ alpha (pow u0 3))) (+ (* -1/2 (/ alpha (pow u0 2))) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha)))))>
#<alt (* -1/4 (* alpha (pow u0 3)))>
#<alt (* -1 (* (pow u0 3) (+ (* 1/4 alpha) (* 1/3 (/ alpha u0)))))>
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha)) u0)) (* 1/4 alpha))))>
#<alt (* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 alpha) (/ alpha u0)) u0)) (* -1/3 alpha)) u0)) (* 1/4 alpha))))>
#<alt (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))>
#<alt (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))>
#<alt (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))>
#<alt (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))>
#<alt (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))>
#<alt (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))>
#<alt (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))>
#<alt (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))>
#<alt (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))>
#<alt (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))>
#<alt (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))>
#<alt (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))>
#<alt (* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<alt (* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))>
#<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 (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))>
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (pow alpha 2) u0))>
#<alt (* -1 (* (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)>
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#<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)>
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#<alt (* alpha u0)>
#<alt (* alpha u0)>
#<alt (* alpha u0)>
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#<alt (* alpha u0)>
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#<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 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))>
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))>
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt (* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt (* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt (* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt (* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt (* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt (* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt (* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt (* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt (* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt (* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt (* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))>
#<alt (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))>
#<alt (* -1 (/ (pow alpha 2) (pow u0 2)))>
#<alt (/ (+ (* -1 (pow alpha 2)) (* -1/2 (* (pow alpha 2) u0))) (pow u0 2))>
#<alt (/ (+ (* -1 (pow alpha 2)) (* u0 (+ (* -1/2 (pow alpha 2)) (* -1/3 (* (pow alpha 2) u0))))) (pow u0 2))>
#<alt (/ (+ (* -1 (pow alpha 2)) (* u0 (+ (* -1/2 (pow alpha 2)) (* -1/3 (* (pow alpha 2) u0))))) (pow u0 2))>
#<alt (* -1/3 (pow alpha 2))>
#<alt (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))>
#<alt (+ (* -1 (/ (pow alpha 2) (pow u0 2))) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))))>
#<alt (+ (* -1 (/ (pow alpha 2) (pow u0 2))) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))))>
#<alt (* -1/3 (pow alpha 2))>
#<alt (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))>
#<alt (* (pow alpha 2) (+ 1/2 (/ 1 u0)))>
#<alt (* (pow alpha 2) (+ 1/2 (/ 1 u0)))>
#<alt (* (pow alpha 2) (+ 1/2 (/ 1 u0)))>
#<alt (* (pow alpha 2) (+ 1/2 (/ 1 u0)))>
#<alt (* (pow alpha 2) (+ 1/2 (/ 1 u0)))>
#<alt (* (pow alpha 2) (+ 1/2 (/ 1 u0)))>
#<alt (* (pow alpha 2) (+ 1/2 (/ 1 u0)))>
#<alt (* (pow alpha 2) (+ 1/2 (/ 1 u0)))>
#<alt (* (pow alpha 2) (+ 1/2 (/ 1 u0)))>
#<alt (* (pow alpha 2) (+ 1/2 (/ 1 u0)))>
#<alt (* (pow alpha 2) (+ 1/2 (/ 1 u0)))>
#<alt (* (pow alpha 2) (+ 1/2 (/ 1 u0)))>
#<alt (/ (pow alpha 2) u0)>
#<alt (/ (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) u0)>
#<alt (/ (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) u0)>
#<alt (/ (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) u0)>
#<alt (* 1/2 (pow alpha 2))>
#<alt (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))>
#<alt (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))>
#<alt (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))>
#<alt (* 1/2 (pow alpha 2))>
#<alt (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))>
#<alt (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))>
#<alt (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))>
#<alt (/ (pow alpha 2) (pow u0 3))>
#<alt (/ (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) (pow u0 3))>
#<alt (/ (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) (pow u0 3))>
#<alt (/ (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) (pow u0 3))>
#<alt (* 1/3 (/ (pow alpha 2) u0))>
#<alt (/ (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))) u0)>
#<alt (/ (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))) u0)>
#<alt (/ (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))) u0)>
#<alt (* 1/3 (/ (pow alpha 2) u0))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) 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 -1/3>
#<alt (- (* -1/4 u0) 1/3)>
#<alt (- (* -1/4 u0) 1/3)>
#<alt (- (* -1/4 u0) 1/3)>
#<alt (* -1/4 u0)>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1/4 u0)>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt -1>
#<alt (- (* -1/2 u0) 1)>
#<alt (- (* u0 (- (* -1/3 u0) 1/2)) 1)>
#<alt (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow u0 3))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) (pow u0 2))) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1/4 (pow u0 3))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))>
#<alt (* 1/2 (* (pow alpha 2) (pow u0 2)))>
#<alt (* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))>
#<alt (* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2))))))>
#<alt (* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2))))))>
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))>
#<alt (* 1/4 (* (pow alpha 2) (pow u0 4)))>
#<alt (* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))>
#<alt (* -1/2 u0)>
#<alt (* u0 (- (* -1/3 u0) 1/2))>
#<alt (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))>
#<alt (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))>
#<alt (* -1/4 (pow u0 3))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))>
#<alt (* -1/4 (pow u0 3))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))>
#<alt (* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))>
#<alt (* -1/3 alpha)>
#<alt (* -1/3 alpha)>
#<alt (* -1/3 alpha)>
#<alt (* -1/3 alpha)>
#<alt (* -1/3 alpha)>
#<alt (* -1/3 alpha)>
#<alt (* -1/3 alpha)>
#<alt (* -1/3 alpha)>
#<alt (* -1/3 alpha)>
#<alt (* -1/3 alpha)>
#<alt (* -1/3 alpha)>
#<alt (* -1/3 alpha)>
#<alt (* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))>
#<alt (* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))>
#<alt (* -1 (/ (pow alpha 2) (pow u0 2)))>
#<alt (/ (+ (* -1 (pow alpha 2)) (* -1/2 (* (pow alpha 2) u0))) (pow u0 2))>
#<alt (/ (+ (* -1 (pow alpha 2)) (* -1/2 (* (pow alpha 2) u0))) (pow u0 2))>
#<alt (/ (+ (* -1 (pow alpha 2)) (* -1/2 (* (pow alpha 2) u0))) (pow u0 2))>
#<alt (* -1/2 (/ (pow alpha 2) u0))>
#<alt (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)>
#<alt (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)>
#<alt (/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)>
#<alt (* -1/2 (/ (pow alpha 2) u0))>
#<alt (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0))>
#<alt (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0))>
#<alt (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0))>
Calls

132 calls:

TimeVariablePointExpression
27.0ms
u0
@inf
(* (log (+ 1 (neg u0))) (neg alpha))
8.0ms
alpha
@0
(* (log (+ 1 (neg u0))) (neg alpha))
3.0ms
alpha
@inf
(* (* (* u0 (* u0 u0)) u0) (+ (* alpha (* alpha 1/4)) (/ (+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))) (neg u0))))
3.0ms
alpha
@0
(* (* (* u0 (* u0 u0)) u0) (+ (* alpha (* alpha 1/4)) (/ (+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))) (neg u0))))
1.0ms
alpha
@inf
(* (* u0 alpha) (neg (* (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1) alpha)))

rewrite414.0ms (3.7%)

Memory
36.6MiB live, 699.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 098×accelerator-lowering-fma.f32
7 098×accelerator-lowering-fma.f64
5 394×*-lowering-*.f32
5 394×*-lowering-*.f64
4 342×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052289
1288273
22439273
09414240
Stop Event
1×iter limit
1×node limit
Counts
27 → 771
Calls
Call 1
Inputs
(* (* (log (+ 1 (neg u0))) (neg alpha)) alpha)
(* (log (+ 1 (neg u0))) (neg alpha))
(log (+ 1 (neg u0)))
(neg u0)
(* (* alpha alpha) (+ (* u0 (* u0 1/2)) u0))
(* alpha alpha)
(+ (* u0 (* u0 1/2)) u0)
(* u0 1/2)
(* (* u0 alpha) (neg (* (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1) alpha)))
(* u0 alpha)
(neg (* (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1) alpha))
(* (+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1) alpha)
(+ (* (neg (* alpha (* alpha u0))) -1) (* (neg (* alpha (* alpha u0))) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))))
(neg (* alpha (* alpha u0)))
(* alpha (* alpha u0))
(* alpha u0)
(* (* (* u0 (* u0 u0)) u0) (+ (* alpha (* alpha 1/4)) (/ (+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))) (neg u0))))
(+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0)))
(+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2))
(/ (+ (* alpha (* alpha -1/3)) (/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))) (neg u0))
(neg alpha)
(+ (* u0 -1/4) -1/3)
(+ (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)) -1)
(* (neg (* alpha (* alpha u0))) (* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2)))
(* u0 (+ (* u0 (+ (* u0 -1/4) -1/3)) -1/2))
(* alpha -1/3)
(/ (+ (* alpha (/ alpha u0)) (* (* alpha alpha) 1/2)) (neg u0))
Outputs
(neg.f32 (*.f32 (*.f32 (log1p.f32 u0) alpha) alpha))
(neg.f32 (*.f32 alpha (*.f32 (log1p.f32 u0) alpha)))
(*.f32 (log1p.f32 u0) (neg.f32 (*.f32 alpha alpha)))
(*.f32 alpha (*.f32 (log1p.f32 u0) (neg.f32 alpha)))
(*.f32 (neg.f32 alpha) (*.f32 (log1p.f32 u0) alpha))
(*.f32 (*.f32 (log1p.f32 u0) (neg.f32 alpha)) alpha)
(*.f32 (*.f32 (log1p.f32 u0) alpha) (neg.f32 alpha))
(*.f32 (neg.f32 (*.f32 alpha alpha)) (log1p.f32 u0))
(neg.f32 (*.f32 (log1p.f32 u0) alpha))
(-.f32 #s(literal 0 binary32) (*.f32 (log1p.f32 u0) alpha))
(*.f32 (log1p.f32 u0) (neg.f32 alpha))
(*.f32 (neg.f32 alpha) (log1p.f32 u0))
(*.f32 #s(literal -1 binary32) (*.f32 (log1p.f32 u0) alpha))
(*.f32 (*.f32 (log1p.f32 u0) #s(literal -1 binary32)) alpha)
(*.f32 (neg.f32 (log1p.f32 u0)) alpha)
(log1p.f32 u0)
(log1p.f32 (neg.f32 u0))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (*.f32 u0 u0)))))
(+.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))))
(+.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (neg.f32 (log1p.f32 u0)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (*.f32 u0 u0)))))
(-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))
(-.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log.f32 (fma.f32 u0 u0 (+.f32 #s(literal 1 binary32) u0))))
(-.f32 (log1p.f32 (*.f32 u0 (neg.f32 u0))) (log1p.f32 u0))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 u0 u0)))) (log1p.f32 (fma.f32 u0 u0 u0)))
(-.f32 (log.f32 (neg.f32 (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 u0)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u0))))
(-.f32 (log.f32 (-.f32 (*.f32 u0 u0) #s(literal 1 binary32))) (log.f32 (-.f32 (neg.f32 u0) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) u0))
(neg.f32 u0)
(+.f32 #s(literal 0 binary32) (neg.f32 u0))
(-.f32 #s(literal 0 binary32) u0)
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0)))) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0)))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) u0)) (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 0 binary32) u0)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 (*.f32 u0 u0))) (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 0 binary32) u0))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 (*.f32 u0 u0)))) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 u0 u0 (*.f32 #s(literal 0 binary32) u0)))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 u0 u0))) (neg.f32 (+.f32 #s(literal 0 binary32) u0)))
(/.f32 (+.f32 #s(literal 0 binary32) (*.f32 u0 (*.f32 u0 u0))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 u0 u0) (*.f32 #s(literal 0 binary32) (neg.f32 u0)))))
(*.f32 #s(literal 1 binary32) (neg.f32 u0))
(*.f32 u0 #s(literal -1 binary32))
(*.f32 (neg.f32 u0) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) u0)
(+.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(+.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 u0 (*.f32 alpha alpha)))
(fma.f32 u0 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(fma.f32 u0 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 alpha alpha)) (*.f32 u0 (*.f32 alpha alpha)))
(fma.f32 alpha (*.f32 u0 alpha) (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(fma.f32 alpha (*.f32 alpha (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 u0 (*.f32 alpha alpha)))
(fma.f32 (*.f32 alpha alpha) u0 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(fma.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32))) (*.f32 u0 (*.f32 alpha alpha)))
(fma.f32 (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 (*.f32 alpha alpha)))
(fma.f32 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32))) (*.f32 alpha alpha) (*.f32 u0 (*.f32 alpha alpha)))
(fma.f32 (*.f32 u0 alpha) alpha (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(fma.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 #s(literal 1/2 binary32)) (*.f32 u0 (*.f32 alpha alpha)))
(fma.f32 (*.f32 u0 u0) (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (*.f32 u0 (*.f32 alpha alpha)))
(fma.f32 (*.f32 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32))) alpha) alpha (*.f32 u0 (*.f32 alpha alpha)))
(fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 #s(literal 1/2 binary32))) u0 (*.f32 u0 (*.f32 alpha alpha)))
(fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 u0)) #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alpha alpha)))
(-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32))))) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 u0 (*.f32 alpha alpha)))) (/.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 (*.f32 alpha alpha))) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 u0 (*.f32 alpha alpha)))))
(/.f32 (fma.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32))) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 (*.f32 alpha alpha))))) (fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (-.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 u0 (*.f32 alpha alpha))))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32))))) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 (*.f32 alpha alpha)))) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 u0 (*.f32 alpha alpha))))
(/.f32 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 u0) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32))))) (fma.f32 u0 (-.f32 u0 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32))))
(/.f32 (*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32) (neg.f32 (*.f32 u0 u0)))) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) (neg.f32 u0)))
(/.f32 (*.f32 (fma.f32 u0 (*.f32 u0 u0) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32)))) (*.f32 alpha alpha)) (fma.f32 u0 (-.f32 u0 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32) (neg.f32 (*.f32 u0 u0))) (*.f32 alpha alpha)) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) (neg.f32 u0)))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32))) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 (*.f32 alpha alpha)))))) (neg.f32 (fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (-.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 u0 (*.f32 alpha alpha)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32))))) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 (*.f32 alpha alpha))))) (neg.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 u0 (*.f32 alpha alpha)))))
(/.f32 (neg.f32 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 u0) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32)))))) (neg.f32 (fma.f32 u0 (-.f32 u0 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32)))))
(/.f32 (neg.f32 (*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32) (neg.f32 (*.f32 u0 u0))))) (neg.f32 (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) (neg.f32 u0))))
(/.f32 (neg.f32 (*.f32 (fma.f32 u0 (*.f32 u0 u0) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32)))) (*.f32 alpha alpha))) (neg.f32 (fma.f32 u0 (-.f32 u0 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32)))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32) (neg.f32 (*.f32 u0 u0))) (*.f32 alpha alpha))) (neg.f32 (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) (neg.f32 u0))))
(/.f32 (fma.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 (*.f32 alpha alpha))) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32))) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))))) (fma.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 u0 (*.f32 alpha alpha)) (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32))))) (*.f32 (*.f32 u0 (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32))))))))
(*.f32 alpha (*.f32 alpha (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)))
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(*.f32 (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0) (*.f32 alpha alpha))
(*.f32 (*.f32 alpha (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)) alpha)
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(pow.f32 alpha #s(literal 2 binary32))
(pow.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 (exp.f32 (log.f32 alpha)) #s(literal 2 binary32))
(*.f32 alpha alpha)
(*.f32 (exp.f32 (log.f32 alpha)) (exp.f32 (log.f32 alpha)))
(+.f32 u0 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32))))
(+.f32 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32))) u0)
(pow.f32 (/.f32 (fma.f32 u0 (-.f32 u0 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32))) (fma.f32 u0 (*.f32 u0 u0) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) (neg.f32 u0)) (fma.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32) (neg.f32 (*.f32 u0 u0)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) u0 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32))))
(fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0)
(fma.f32 #s(literal 1/2 binary32) (*.f32 u0 u0) u0)
(fma.f32 (*.f32 u0 #s(literal 1/2 binary32)) u0 u0)
(fma.f32 #s(literal -1 binary32) (neg.f32 u0) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32))))
(fma.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 u0) #s(literal 1 binary32)) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32))))
(fma.f32 (*.f32 u0 u0) #s(literal 1/2 binary32) u0)
(-.f32 (/.f32 (*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32)) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) (neg.f32 u0))) (/.f32 (*.f32 u0 u0) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) (neg.f32 u0))))
(-.f32 (/.f32 (*.f32 u0 u0) (-.f32 u0 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32))))) (/.f32 (*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32)) (-.f32 u0 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u0 (-.f32 u0 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32))) (fma.f32 u0 (*.f32 u0 u0) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) (neg.f32 u0)) (fma.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32) (neg.f32 (*.f32 u0 u0)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 u0 (-.f32 u0 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32))) (fma.f32 u0 (*.f32 u0 u0) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) (neg.f32 u0)) (fma.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32) (neg.f32 (*.f32 u0 u0))))))
(/.f32 (fma.f32 u0 (*.f32 u0 u0) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32)))) (fma.f32 u0 (-.f32 u0 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))) (*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32))))
(/.f32 (fma.f32 u0 (*.f32 u0 u0) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) #s(literal 1/8 binary32)))) (fma.f32 u0 u0 (-.f32 (*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32)) (*.f32 u0 (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))))
(/.f32 (fma.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32) (neg.f32 (*.f32 u0 u0))) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) (neg.f32 u0)))
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(*.f32 (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 u0 (*.f32 u0 u0))) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) #s(literal 1/8 binary32)))) (neg.f32 u0)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (-.f32 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (/.f32 (*.f32 alpha alpha) u0)) (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 u0 u0)))) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) (*.f32 alpha (-.f32 (/.f32 alpha u0) (*.f32 alpha #s(literal 1/2 binary32))))) u0) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (-.f32 (/.f32 alpha u0) (*.f32 alpha #s(literal 1/2 binary32))))) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) (*.f32 alpha (-.f32 (/.f32 alpha u0) (*.f32 alpha #s(literal 1/2 binary32))))) (neg.f32 u0)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (-.f32 (/.f32 alpha u0) (*.f32 alpha #s(literal 1/2 binary32))))) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (-.f32 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (/.f32 (*.f32 alpha alpha) u0)) (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 u0 u0))) (neg.f32 u0)) (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) (fma.f32 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (-.f32 (*.f32 alpha (*.f32 alpha #s(literal 1/2 binary32))) (/.f32 (*.f32 alpha alpha) u0)) (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 u0 u0)))))
(*.f32 (/.f32 (*.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) (*.f32 alpha (-.f32 (/.f32 alpha u0) (*.f32 alpha #s(literal 1/2 binary32))))) alpha) (/.f32 (/.f32 #s(literal -1 binary32) u0) (-.f32 (/.f32 alpha u0) (*.f32 alpha #s(literal 1/2 binary32)))))

simplify466.0ms (4.2%)

Memory
8.6MiB live, 829.4MiB allocated
Algorithm
1×egg-herbie
Rules
16 926×accelerator-lowering-fma.f32
16 926×accelerator-lowering-fma.f64
5 648×*-lowering-*.f32
5 648×*-lowering-*.f64
4 200×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03556004
111285814
235135339
082165012
Stop Event
1×iter limit
1×node limit
Counts
528 → 528
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 (* 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)))
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
u0
(* u0 (+ 1 (* 1/2 u0)))
(* u0 (+ 1 (* 1/2 u0)))
(* u0 (+ 1 (* 1/2 u0)))
(* 1/2 (pow u0 2))
(* (pow u0 2) (+ 1/2 (/ 1 u0)))
(* (pow u0 2) (+ 1/2 (/ 1 u0)))
(* (pow u0 2) (+ 1/2 (/ 1 u0)))
(* 1/2 (pow u0 2))
(* (pow u0 2) (+ 1/2 (/ 1 u0)))
(* (pow u0 2) (+ 1/2 (/ 1 u0)))
(* (pow u0 2) (+ 1/2 (/ 1 u0)))
(* 1/2 u0)
(* 1/2 u0)
(* 1/2 u0)
(* 1/2 u0)
(* 1/2 u0)
(* 1/2 u0)
(* 1/2 u0)
(* 1/2 u0)
(* 1/2 u0)
(* 1/2 u0)
(* 1/2 u0)
(* 1/2 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)))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))
(* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* (pow alpha 2) (* u0 (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (pow alpha 2) (* u0 (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (pow alpha 2) (* u0 (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (pow alpha 2) (* u0 (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* -1 (* (pow alpha 2) (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
(* 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)
alpha
(- (* 1/2 (* alpha u0)) (* -1 alpha))
(- (* u0 (- (* 1/3 (* alpha u0)) (* -1/2 alpha))) (* -1 alpha))
(- (* u0 (- (* u0 (- (* 1/4 (* alpha u0)) (* -1/3 alpha))) (* -1/2 alpha))) (* -1 alpha))
(* 1/4 (* alpha (pow u0 3)))
(* (pow u0 3) (- (* 1/3 (/ alpha u0)) (* -1/4 alpha)))
(* (pow u0 3) (- (* 1/2 (/ alpha (pow u0 2))) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha))))
(* (pow u0 3) (- (/ alpha (pow u0 3)) (+ (* -1/2 (/ alpha (pow u0 2))) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha)))))
(* 1/4 (* alpha (pow u0 3)))
(* -1 (* (pow u0 3) (- (* -1/3 (/ alpha u0)) (* 1/4 alpha))))
(* -1 (* (pow u0 3) (- (* -1 (/ (- (* 1/2 (/ alpha u0)) (* -1/3 alpha)) u0)) (* 1/4 alpha))))
(* -1 (* (pow u0 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ alpha u0)) (* 1/2 alpha)) u0)) (* -1/3 alpha)) u0)) (* 1/4 alpha))))
(* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* alpha (- 1 (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* -1 (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* -1 (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* -1 (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* -1 (* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)))
(* -1 alpha)
(+ (* -1 alpha) (* -1/2 (* alpha u0)))
(+ (* -1 alpha) (* u0 (+ (* -1/2 alpha) (* -1/3 (* alpha u0)))))
(+ (* -1 alpha) (* u0 (+ (* -1/2 alpha) (* u0 (+ (* -1/3 alpha) (* -1/4 (* alpha u0)))))))
(* -1/4 (* alpha (pow u0 3)))
(* (pow u0 3) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha)))
(* (pow u0 3) (+ (* -1/2 (/ alpha (pow u0 2))) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha))))
(* (pow u0 3) (+ (* -1 (/ alpha (pow u0 3))) (+ (* -1/2 (/ alpha (pow u0 2))) (+ (* -1/3 (/ alpha u0)) (* -1/4 alpha)))))
(* -1/4 (* alpha (pow u0 3)))
(* -1 (* (pow u0 3) (+ (* 1/4 alpha) (* 1/3 (/ alpha u0)))))
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* -1/2 (/ alpha u0)) (* -1/3 alpha)) u0)) (* 1/4 alpha))))
(* -1 (* (pow u0 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 alpha) (/ alpha u0)) u0)) (* -1/3 alpha)) u0)) (* 1/4 alpha))))
(* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(* alpha (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))
(* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (pow alpha 2) (+ u0 (* -1 (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)))))
(* (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 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))
(* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (pow alpha 2) u0))
(* -1 (* (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) 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 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) (pow u0 3))))))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))
(* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* (pow u0 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))
(* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))
(* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))
(* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))
(* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))
(* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))
(* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))
(* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))
(* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))
(* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))
(* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))
(* (pow alpha 2) (* (pow u0 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))
(* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))
(* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))
(* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))
(* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))
(* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))
(* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))
(* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))
(* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))
(* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))
(* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))
(* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))
(* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3))
(* -1 (/ (pow alpha 2) (pow u0 2)))
(/ (+ (* -1 (pow alpha 2)) (* -1/2 (* (pow alpha 2) u0))) (pow u0 2))
(/ (+ (* -1 (pow alpha 2)) (* u0 (+ (* -1/2 (pow alpha 2)) (* -1/3 (* (pow alpha 2) u0))))) (pow u0 2))
(/ (+ (* -1 (pow alpha 2)) (* u0 (+ (* -1/2 (pow alpha 2)) (* -1/3 (* (pow alpha 2) u0))))) (pow u0 2))
(* -1/3 (pow alpha 2))
(+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2)))
(+ (* -1 (/ (pow alpha 2) (pow u0 2))) (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))))
(+ (* -1 (/ (pow alpha 2) (pow u0 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 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))
(+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2)))
(* (pow alpha 2) (+ 1/2 (/ 1 u0)))
(* (pow alpha 2) (+ 1/2 (/ 1 u0)))
(* (pow alpha 2) (+ 1/2 (/ 1 u0)))
(* (pow alpha 2) (+ 1/2 (/ 1 u0)))
(* (pow alpha 2) (+ 1/2 (/ 1 u0)))
(* (pow alpha 2) (+ 1/2 (/ 1 u0)))
(* (pow alpha 2) (+ 1/2 (/ 1 u0)))
(* (pow alpha 2) (+ 1/2 (/ 1 u0)))
(* (pow alpha 2) (+ 1/2 (/ 1 u0)))
(* (pow alpha 2) (+ 1/2 (/ 1 u0)))
(* (pow alpha 2) (+ 1/2 (/ 1 u0)))
(* (pow alpha 2) (+ 1/2 (/ 1 u0)))
(/ (pow alpha 2) 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)) u0)
(* 1/2 (pow alpha 2))
(+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))
(+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))
(+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))
(* 1/2 (pow alpha 2))
(+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))
(+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))
(+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0))
(* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))
(* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))
(* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))
(* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))
(* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))
(* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))
(* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))
(* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))
(* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))
(* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))
(* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))
(* -1 (/ (* (pow alpha 2) (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3)) u0))
(/ (pow alpha 2) (pow u0 3))
(/ (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)) (pow u0 3))
(/ (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) (pow u0 3))
(/ (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)) (pow u0 3))
(* 1/3 (/ (pow alpha 2) u0))
(/ (+ (* 1/3 (pow alpha 2)) (* 1/2 (/ (pow alpha 2) u0))) u0)
(/ (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))) u0)
(/ (+ (* 1/3 (pow alpha 2)) (+ (* 1/2 (/ (pow alpha 2) u0)) (/ (pow alpha 2) (pow u0 2)))) u0)
(* 1/3 (/ (pow alpha 2) u0))
(* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) u0))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0)) (* -1/3 (pow alpha 2))) 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)
-1/3
(- (* -1/4 u0) 1/3)
(- (* -1/4 u0) 1/3)
(- (* -1/4 u0) 1/3)
(* -1/4 u0)
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1/4 u0)
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1 (* u0 (+ 1/4 (* 1/3 (/ 1 u0)))))
-1
(- (* -1/2 u0) 1)
(- (* u0 (- (* -1/3 u0) 1/2)) 1)
(- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1)
(* -1/4 (pow u0 3))
(* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(* (pow u0 3) (- (* -1 (/ (+ 1/2 (/ 1 u0)) (pow u0 2))) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1/4 (pow u0 3))
(* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))
(* -1 (* (pow u0 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u0)) u0)) 1/3) u0)))))
(* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* -1 (* (pow alpha 2) (* (pow u0 2) (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))))
(* 1/2 (* (pow alpha 2) (pow u0 2)))
(* (pow u0 2) (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2))))
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2))))))
(* (pow u0 2) (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2))))))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (/ (pow alpha 2) (pow u0 2))))))
(* 1/4 (* (pow alpha 2) (pow u0 4)))
(* (pow u0 4) (+ (* 1/4 (pow alpha 2)) (* 1/3 (/ (pow alpha 2) u0))))
(* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* (pow u0 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow alpha 2) u0)) (* -1/3 (pow alpha 2))) u0)) (* 1/4 (pow alpha 2))))
(* -1/2 u0)
(* u0 (- (* -1/3 u0) 1/2))
(* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))
(* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2))
(* -1/4 (pow u0 3))
(* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(* (pow u0 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u0))) u0)) 1/4))
(* -1/4 (pow u0 3))
(* -1 (* (pow u0 3) (+ 1/4 (* 1/3 (/ 1 u0)))))
(* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))
(* -1 (* (pow u0 3) (+ 1/4 (+ (/ 1/2 (pow u0 2)) (* 1/3 (/ 1 u0))))))
(* -1/3 alpha)
(* -1/3 alpha)
(* -1/3 alpha)
(* -1/3 alpha)
(* -1/3 alpha)
(* -1/3 alpha)
(* -1/3 alpha)
(* -1/3 alpha)
(* -1/3 alpha)
(* -1/3 alpha)
(* -1/3 alpha)
(* -1/3 alpha)
(* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))
(* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))
(* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))
(* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))
(* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))
(* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))
(* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))
(* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))
(* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))
(* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))
(* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))
(* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))
(* -1 (/ (pow alpha 2) (pow u0 2)))
(/ (+ (* -1 (pow alpha 2)) (* -1/2 (* (pow alpha 2) u0))) (pow u0 2))
(/ (+ (* -1 (pow alpha 2)) (* -1/2 (* (pow alpha 2) u0))) (pow u0 2))
(/ (+ (* -1 (pow alpha 2)) (* -1/2 (* (pow alpha 2) u0))) (pow u0 2))
(* -1/2 (/ (pow alpha 2) u0))
(/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)
(/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)
(/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)
(* -1/2 (/ (pow alpha 2) u0))
(* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0))
(* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0))
(* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0))
Outputs
(* (pow alpha 2) u0)
(*.f32 alpha (*.f32 alpha u0))
(* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))
(*.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 u0 u0) u0) alpha) alpha)
(* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))
(*.f32 u0 (fma.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 #s(literal 1/3 binary32) u0 #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 (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha))))
(* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))
(*.f32 (*.f32 alpha alpha) (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0))))
(+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))
(*.f32 alpha (fma.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (neg.f32 alpha) (/.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)))
(fma.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (*.f32 alpha (neg.f32 alpha)) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 (*.f32 alpha 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 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (neg.f32 alpha) (/.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)))
(*.f32 (*.f32 alpha alpha) (neg.f32 (log.f32 (neg.f32 u0))))
(+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))
(*.f32 alpha (fma.f32 alpha (neg.f32 (log.f32 (neg.f32 u0))) (/.f32 alpha 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 (*.f32 alpha alpha) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u0))) (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 (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 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #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 u0 (*.f32 alpha (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (*.f32 alpha #s(literal 1/2 binary32))) alpha))
(* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0))))))
(*.f32 alpha (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0))))
(+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ alpha u0))
(fma.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (neg.f32 alpha) (/.f32 alpha u0))
(+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ alpha (pow u0 2))) (/ alpha u0)))
(fma.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (neg.f32 alpha) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) 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)))
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(* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))
(neg.f32 (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0))
(* -1 (/ (* (pow alpha 2) (+ 1/2 (/ 1 u0))) u0))
(neg.f32 (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0))
(* -1 (/ (pow alpha 2) (pow u0 2)))
(neg.f32 (*.f32 alpha (/.f32 alpha (*.f32 u0 u0))))
(/ (+ (* -1 (pow alpha 2)) (* -1/2 (* (pow alpha 2) u0))) (pow u0 2))
(/.f32 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) (*.f32 u0 u0))
(/ (+ (* -1 (pow alpha 2)) (* -1/2 (* (pow alpha 2) u0))) (pow u0 2))
(/.f32 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) (*.f32 u0 u0))
(/ (+ (* -1 (pow alpha 2)) (* -1/2 (* (pow alpha 2) u0))) (pow u0 2))
(/.f32 (*.f32 (*.f32 alpha alpha) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) (*.f32 u0 u0))
(* -1/2 (/ (pow alpha 2) u0))
(/.f32 (*.f32 (*.f32 alpha alpha) #s(literal -1/2 binary32)) u0)
(/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)
(neg.f32 (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0))
(/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)
(neg.f32 (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0))
(/ (+ (* -1 (/ (pow alpha 2) u0)) (* -1/2 (pow alpha 2))) u0)
(neg.f32 (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0))
(* -1/2 (/ (pow alpha 2) u0))
(/.f32 (*.f32 (*.f32 alpha alpha) #s(literal -1/2 binary32)) u0)
(* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0))
(neg.f32 (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0))
(* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0))
(neg.f32 (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0))
(* -1 (/ (+ (* 1/2 (pow alpha 2)) (/ (pow alpha 2) u0)) u0))
(neg.f32 (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0))

eval224.0ms (2%)

Memory
27.4MiB live, 216.4MiB allocated
Compiler

Compiled 51 072 to 3 502 computations (93.1% saved)

prune345.0ms (3.1%)

Memory
-28.3MiB live, 416.8MiB allocated
Pruning

58 alts after pruning (49 fresh and 9 done)

PrunedKeptTotal
New1 481221 503
Fresh132740
Picked235
Done066
Total1 496581 554
Accuracy
100.0%
Counts
1 554 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.6%
(fma.f32 (/.f32 (*.f32 u0 (*.f32 u0 u0)) (neg.f32 u0)) (/.f32 u0 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) #s(literal -1/3 binary32)) (/.f32 (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))) u0)))) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 u0 (*.f32 u0 (*.f32 u0 u0))) #s(literal 1/4 binary32))))
86.2%
(fma.f32 (*.f32 u0 alpha) alpha (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
86.3%
(fma.f32 (*.f32 alpha alpha) u0 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
93.0%
(/.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.f32 u0 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.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))) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/12 binary32) #s(literal -1/12 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
88.7%
(/.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.f32 u0 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.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))) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal 1 binary32)))
92.8%
(/.f32 (*.f32 u0 (*.f32 alpha (neg.f32 alpha))) (/.f32 #s(literal 1 binary32) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
92.8%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))))
93.2%
(-.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 u0)) (*.f32 u0 (*.f32 alpha alpha))) (neg.f32 (*.f32 u0 (*.f32 alpha alpha))))
92.9%
(*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (*.f32 u0 (*.f32 alpha (neg.f32 alpha))))
85.9%
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) u0))
57.6%
(*.f32 (/.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha alpha))) alpha) (*.f32 alpha alpha)) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
86.1%
(*.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 u0 u0) u0) alpha) 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)))
93.1%
(*.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha) u0) (neg.f32 alpha))
90.8%
(*.f32 (*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha)) alpha)
92.9%
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (fma.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (*.f32 u0 u0)) (fma.f32 alpha (/.f32 alpha (*.f32 u0 (*.f32 u0 u0))) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 alpha alpha) u0))))))
92.9%
(*.f32 (*.f32 (*.f32 alpha (neg.f32 alpha)) (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))) u0)
✓93.0%
(*.f32 (*.f32 (*.f32 alpha 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))
90.9%
(*.f32 (*.f32 (*.f32 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha))
86.0%
(*.f32 (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) (neg.f32 alpha))
93.0%
(*.f32 (*.f32 (*.f32 alpha u0) (-.f32 (*.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))
92.2%
(*.f32 (*.f32 (*.f32 alpha u0) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) u0)) u0) #s(literal -1/4 binary32)))) (neg.f32 alpha))
93.1%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 u0)) (*.f32 (*.f32 u0 u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))
98.6%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 (*.f32 u0 u0) (neg.f32 u0))) (log1p.f32 (fma.f32 u0 u0 u0))))
59.6%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) (*.f32 #s(literal 2 binary32) (log1p.f32 (fma.f32 u0 u0 u0)))))
92.4%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))) u0))))
92.1%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (+.f32 (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) u0)) u0) #s(literal -1/4 binary32))))
92.8%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (*.f32 u0 u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))))
90.7%
(*.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))))
✓92.8%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (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)))))
93.6%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (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 #s(literal -1 binary32) (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0)))))
✓99.0%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
✓57.6%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
✓99.1%
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
91.1%
(*.f32 (*.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha)) alpha)
86.2%
(*.f32 (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha)
85.9%
(*.f32 (*.f32 u0 u0) (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))))
91.0%
(*.f32 (*.f32 u0 alpha) (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha))
93.2%
(*.f32 (*.f32 u0 alpha) (fma.f32 alpha (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 u0)) alpha))
86.1%
(*.f32 (*.f32 u0 alpha) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))
92.3%
(*.f32 (*.f32 u0 alpha) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 alpha #s(literal 1/4 binary32) (/.f32 (fma.f32 alpha #s(literal 1/3 binary32) (/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)) u0))))
93.0%
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (*.f32 u0 u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) alpha)))
✓93.0%
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
90.9%
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
86.1%
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)) alpha)))
92.6%
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u0) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1/4 binary32)) #s(literal -1/3 binary32))) alpha)))
92.9%
(*.f32 (*.f32 alpha (neg.f32 (*.f32 alpha (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))))) u0)
✓73.1%
(*.f32 (*.f32 alpha u0) alpha)
93.2%
(*.f32 (*.f32 alpha alpha) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (neg.f32 u0)) u0))
✓86.0%
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
85.8%
(*.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
91.0%
(*.f32 u0 (fma.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
92.8%
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha))))
86.0%
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
82.8%
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 #s(literal -5/3 binary32) u0 #s(literal 1/2 binary32))))))
✓73.0%
(*.f32 u0 (*.f32 alpha alpha))
93.2%
(neg.f32 (fma.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 (*.f32 u0 (*.f32 alpha alpha)))))
Compiler

Compiled 3 582 to 1 182 computations (67% saved)

regimes472.0ms (4.3%)

Memory
6.8MiB live, 280.0MiB allocated
Counts
101 → 1
Calls
Call 1
Inputs
(*.f32 u0 (*.f32 alpha alpha))
(*.f32 (*.f32 alpha u0) alpha)
(*.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(*.f32 (*.f32 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 (fma.f32 #s(literal 1/2 binary32) (*.f32 u0 u0) u0) alpha) alpha)
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) u0))
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)) alpha)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(*.f32 (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) (neg.f32 alpha))
(*.f32 (*.f32 u0 (fma.f32 u0 (*.f32 alpha #s(literal -1/2 binary32)) (neg.f32 alpha))) (neg.f32 alpha))
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
(*.f32 (*.f32 u0 alpha) (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha))
(*.f32 (*.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha)) alpha)
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
(*.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 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha))
(*.f32 (*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha)) alpha)
(fma.f32 (*.f32 alpha alpha) u0 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(fma.f32 (*.f32 u0 alpha) alpha (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 #s(literal -5/3 binary32) u0 #s(literal 1/2 binary32))))))
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))
(*.f32 u0 (fma.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
(*.f32 (*.f32 u0 u0) (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))))
(*.f32 u0 (*.f32 alpha (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha))))
(*.f32 (*.f32 alpha alpha) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (neg.f32 u0)) u0))
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(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))) (*.f32 #s(literal 2 binary32) (log1p.f32 (fma.f32 u0 u0 u0)))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 (*.f32 u0 u0))))) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))) (log1p.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 u0 (*.f32 u0 u0) #s(literal 1 binary32))))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) u0)) (*.f32 (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) u0))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) u0))))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (-.f32 (log.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32))))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 u0 (fma.f32 u0 u0 #s(literal 1 binary32)))) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 u0 (fma.f32 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 (-.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)))))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u0 u0 u0)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u0 (*.f32 u0 u0))) (log1p.f32 (fma.f32 u0 u0 u0)))))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 (-.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))))))))
Outputs
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
Calls

6 calls:

250.0ms
u0
51.0ms
(*.f32 (neg.f32 alpha) alpha)
47.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u0))
47.0ms
alpha
38.0ms
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
Results
AccuracySegmentsBranch
99.1%1alpha
99.1%1u0
99.1%1(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
99.1%1(*.f32 (neg.f32 alpha) alpha)
99.1%1(log.f32 (-.f32 #s(literal 1 binary32) u0))
99.1%1(-.f32 #s(literal 1 binary32) u0)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes167.0ms (1.5%)

Memory
0.7MiB live, 216.6MiB allocated
Counts
72 → 1
Calls
Call 1
Inputs
(*.f32 u0 (*.f32 alpha alpha))
(*.f32 (*.f32 alpha u0) alpha)
(*.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(*.f32 (*.f32 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 (fma.f32 #s(literal 1/2 binary32) (*.f32 u0 u0) u0) alpha) alpha)
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) u0))
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)) alpha)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(*.f32 (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) (neg.f32 alpha))
(*.f32 (*.f32 u0 (fma.f32 u0 (*.f32 alpha #s(literal -1/2 binary32)) (neg.f32 alpha))) (neg.f32 alpha))
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
(*.f32 (*.f32 u0 alpha) (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha))
(*.f32 (*.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha)) alpha)
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
(*.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 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha))
(*.f32 (*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha)) alpha)
(fma.f32 (*.f32 alpha alpha) u0 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(fma.f32 (*.f32 u0 alpha) alpha (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 #s(literal -5/3 binary32) u0 #s(literal 1/2 binary32))))))
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))
(*.f32 u0 (fma.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
(*.f32 (*.f32 u0 u0) (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))))
(*.f32 u0 (*.f32 alpha (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha))))
(*.f32 (*.f32 alpha alpha) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (neg.f32 u0)) u0))
(*.f32 (*.f32 alpha (neg.f32 (*.f32 alpha (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))))) u0)
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
(*.f32 (*.f32 u0 alpha) (fma.f32 alpha (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 u0)) alpha))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(*.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (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))) u0)
(*.f32 (*.f32 (*.f32 alpha 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))
(*.f32 (*.f32 (*.f32 alpha (neg.f32 alpha)) (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))) u0)
(*.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha) u0) (neg.f32 alpha))
(*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (*.f32 u0 (*.f32 alpha (neg.f32 alpha))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (+.f32 (*.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) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) u0 (neg.f32 u0)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0) (neg.f32 u0)))
(*.f32 (*.f32 (*.f32 alpha u0) (-.f32 (*.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))
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (*.f32 u0 u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) alpha)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (*.f32 u0 u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))))
(*.f32 (fma.f32 (neg.f32 u0) alpha (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha)))) (neg.f32 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)))
(neg.f32 (fma.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 (*.f32 u0 (*.f32 alpha alpha)))))
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha))))
(-.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 u0)) (*.f32 u0 (*.f32 alpha alpha))) (neg.f32 (*.f32 u0 (*.f32 alpha alpha))))
(fma.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) (neg.f32 (*.f32 alpha alpha)) (*.f32 (neg.f32 u0) (neg.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 u0 (*.f32 alpha (neg.f32 alpha))) (/.f32 #s(literal 1 binary32) (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))))
(fma.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) #s(literal -1 binary32) (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (fma.f32 (*.f32 u0 u0) (/.f32 u0 (*.f32 u0 (neg.f32 u0))) (*.f32 (*.f32 u0 u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u0) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1/4 binary32)) #s(literal -1/3 binary32))) alpha)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (*.f32 (*.f32 u0 u0) (fma.f32 u0 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) (*.f32 u0 u0)) #s(literal -1/4 binary32)) #s(literal -1/3 binary32)))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 u0)) (*.f32 (*.f32 u0 u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (+.f32 (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) u0)) u0) #s(literal -1/4 binary32))))
(*.f32 (*.f32 (*.f32 alpha u0) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) u0)) u0) #s(literal -1/4 binary32)))) (neg.f32 alpha))
(*.f32 (*.f32 u0 alpha) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 alpha #s(literal 1/4 binary32) (/.f32 (fma.f32 alpha #s(literal 1/3 binary32) (/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)) u0))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))) u0))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (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 (*.f32 u0 (*.f32 u0 u0)) u0) (fma.f32 alpha #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 alpha #s(literal 1/3 binary32)) (/.f32 (fma.f32 alpha #s(literal -1/2 binary32) (/.f32 alpha (neg.f32 u0))) u0)) (neg.f32 u0)))) (neg.f32 alpha))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (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 (*.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) 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 (*.f32 alpha (*.f32 alpha u0))) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32))) (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 (*.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (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 (*.f32 alpha (neg.f32 alpha))) (fma.f32 (*.f32 u0 u0) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (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 #s(literal 1 binary32) (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 (*.f32 u0 u0)) u0) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha #s(literal -1/3 binary32)) (/.f32 (fma.f32 alpha (/.f32 alpha u0) (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32))) (neg.f32 u0))) (neg.f32 u0))))
(*.f32 (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (-.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 alpha (*.f32 u0 u0)) (fma.f32 alpha #s(literal -1/4 binary32) (/.f32 (*.f32 alpha #s(literal -1/3 binary32)) u0))) (/.f32 alpha (*.f32 u0 (*.f32 u0 u0))))) (neg.f32 alpha))
(/.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.f32 u0 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.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))) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (fma.f32 alpha (*.f32 alpha #s(literal 1/4 binary32)) (fma.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (*.f32 u0 u0)) (fma.f32 alpha (/.f32 alpha (*.f32 u0 (*.f32 u0 u0))) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 alpha alpha) u0))))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0))) (*.f32 u0 u0)) (-.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) (neg.f32 u0))))
(/.f32 (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) (*.f32 u0 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.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))) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal 1/12 binary32) #s(literal -1/12 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
Outputs
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (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:

36.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u0))
36.0ms
(-.f32 #s(literal 1 binary32) u0)
26.0ms
u0
26.0ms
alpha
21.0ms
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
Results
AccuracySegmentsBranch
93.6%1alpha
93.6%1u0
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)

regimes150.0ms (1.4%)

Memory
-20.4MiB live, 180.3MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
(*.f32 u0 (*.f32 alpha alpha))
(*.f32 (*.f32 alpha u0) alpha)
(*.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(*.f32 (*.f32 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 (fma.f32 #s(literal 1/2 binary32) (*.f32 u0 u0) u0) alpha) alpha)
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) u0))
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)) alpha)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(*.f32 (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) (neg.f32 alpha))
(*.f32 (*.f32 u0 (fma.f32 u0 (*.f32 alpha #s(literal -1/2 binary32)) (neg.f32 alpha))) (neg.f32 alpha))
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
(*.f32 (*.f32 u0 alpha) (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha))
(*.f32 (*.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha)) alpha)
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
(*.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 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha))
(*.f32 (*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha)) alpha)
(fma.f32 (*.f32 alpha alpha) u0 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(fma.f32 (*.f32 u0 alpha) alpha (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 #s(literal -5/3 binary32) u0 #s(literal 1/2 binary32))))))
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))
(*.f32 u0 (fma.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
(*.f32 (*.f32 u0 u0) (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))))
(*.f32 u0 (*.f32 alpha (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha))))
(*.f32 (*.f32 alpha alpha) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (neg.f32 u0)) u0))
(*.f32 (*.f32 alpha (neg.f32 (*.f32 alpha (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))))) u0)
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
(*.f32 (*.f32 u0 alpha) (fma.f32 alpha (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 u0)) alpha))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(*.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (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))) u0)
(*.f32 (*.f32 (*.f32 alpha 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))
(*.f32 (*.f32 (*.f32 alpha (neg.f32 alpha)) (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))) u0)
(*.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha) u0) (neg.f32 alpha))
(*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (*.f32 u0 (*.f32 alpha (neg.f32 alpha))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (+.f32 (*.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) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) u0 (neg.f32 u0)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0) (neg.f32 u0)))
(*.f32 (*.f32 (*.f32 alpha u0) (-.f32 (*.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))
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (*.f32 u0 u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) alpha)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (*.f32 u0 u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))))
(*.f32 (fma.f32 (neg.f32 u0) alpha (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha)))) (neg.f32 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)))
(neg.f32 (fma.f32 (*.f32 (*.f32 u0 (*.f32 alpha alpha)) u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 (*.f32 u0 (*.f32 alpha alpha)))))
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha (*.f32 alpha u0)) (fma.f32 u0 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha))))
(-.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 u0)) (*.f32 u0 (*.f32 alpha alpha))) (neg.f32 (*.f32 u0 (*.f32 alpha alpha))))
(fma.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0)) (neg.f32 (*.f32 alpha alpha)) (*.f32 (neg.f32 u0) (neg.f32 (*.f32 alpha alpha))))
(/.f32 (*.f32 u0 (*.f32 alpha (neg.f32 alpha))) (/.f32 #s(literal 1 binary32) (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))))
(fma.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) #s(literal -1 binary32) (*.f32 (neg.f32 (*.f32 alpha (*.f32 alpha u0))) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (fma.f32 (*.f32 u0 u0) (/.f32 u0 (*.f32 u0 (neg.f32 u0))) (*.f32 (*.f32 u0 u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (*.f32 (*.f32 u0 u0) (fma.f32 u0 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u0) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1/4 binary32)) #s(literal -1/3 binary32))) alpha)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (*.f32 (*.f32 u0 u0) (fma.f32 u0 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) (*.f32 u0 u0)) #s(literal -1/4 binary32)) #s(literal -1/3 binary32)))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u0 (*.f32 u0 u0)) (*.f32 u0 u0)) (*.f32 (*.f32 u0 u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (+.f32 (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) u0)) u0) #s(literal -1/4 binary32))))
(*.f32 (*.f32 (*.f32 alpha u0) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (+.f32 (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u0)) u0)) u0) #s(literal -1/4 binary32)))) (neg.f32 alpha))
(*.f32 (*.f32 u0 alpha) (*.f32 (*.f32 u0 (*.f32 u0 u0)) (fma.f32 alpha #s(literal 1/4 binary32) (/.f32 (fma.f32 alpha #s(literal 1/3 binary32) (/.f32 (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0)) u0)) u0))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 (*.f32 (*.f32 u0 (*.f32 u0 u0)) u0) (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))) u0))))
Outputs
(*.f32 (fma.f32 (neg.f32 u0) alpha (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha)))) (neg.f32 alpha))
Calls

6 calls:

35.0ms
(*.f32 (neg.f32 alpha) alpha)
32.0ms
alpha
31.0ms
(-.f32 #s(literal 1 binary32) u0)
18.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u0))
16.0ms
u0
Results
AccuracySegmentsBranch
93.4%1u0
93.4%1(*.f32 (neg.f32 alpha) alpha)
93.4%1alpha
93.4%1(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
93.4%1(log.f32 (-.f32 #s(literal 1 binary32) u0))
93.4%1(-.f32 #s(literal 1 binary32) u0)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes75.0ms (0.7%)

Memory
37.9MiB live, 151.9MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
(*.f32 u0 (*.f32 alpha alpha))
(*.f32 (*.f32 alpha u0) alpha)
(*.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(*.f32 (*.f32 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 (fma.f32 #s(literal 1/2 binary32) (*.f32 u0 u0) u0) alpha) alpha)
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) u0))
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)) alpha)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(*.f32 (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) (neg.f32 alpha))
(*.f32 (*.f32 u0 (fma.f32 u0 (*.f32 alpha #s(literal -1/2 binary32)) (neg.f32 alpha))) (neg.f32 alpha))
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
(*.f32 (*.f32 u0 alpha) (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha))
(*.f32 (*.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha)) alpha)
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
(*.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 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha))
(*.f32 (*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha)) alpha)
(fma.f32 (*.f32 alpha alpha) u0 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(fma.f32 (*.f32 u0 alpha) alpha (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 #s(literal -5/3 binary32) u0 #s(literal 1/2 binary32))))))
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))
(*.f32 u0 (fma.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
(*.f32 (*.f32 u0 u0) (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))))
(*.f32 u0 (*.f32 alpha (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha))))
(*.f32 (*.f32 alpha alpha) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (neg.f32 u0)) u0))
(*.f32 (*.f32 alpha (neg.f32 (*.f32 alpha (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))))) u0)
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
(*.f32 (*.f32 u0 alpha) (fma.f32 alpha (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (neg.f32 u0)) alpha))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(*.f32 (*.f32 (neg.f32 (*.f32 alpha alpha)) (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))) u0)
(*.f32 (*.f32 (*.f32 alpha 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))
(*.f32 (*.f32 (*.f32 alpha (neg.f32 alpha)) (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))) u0)
(*.f32 (*.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha) u0) (neg.f32 alpha))
(*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (*.f32 u0 (*.f32 alpha (neg.f32 alpha))))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (+.f32 (*.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) (fma.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))) u0 (neg.f32 u0)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 u0) (neg.f32 u0)))
(*.f32 (*.f32 (*.f32 alpha u0) (-.f32 (*.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))
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (*.f32 u0 u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) alpha)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) (*.f32 u0 u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)))))
Outputs
(*.f32 (*.f32 alpha alpha) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (neg.f32 u0)) u0))
Calls

6 calls:

14.0ms
(*.f32 (neg.f32 alpha) alpha)
14.0ms
alpha
12.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u0))
11.0ms
(-.f32 #s(literal 1 binary32) u0)
11.0ms
u0
Results
AccuracySegmentsBranch
93.2%1u0
93.2%1(*.f32 (neg.f32 alpha) alpha)
93.2%1alpha
93.2%1(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
93.2%1(log.f32 (-.f32 #s(literal 1 binary32) u0))
93.2%1(-.f32 #s(literal 1 binary32) u0)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes80.0ms (0.7%)

Memory
3.0MiB live, 82.8MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
(*.f32 u0 (*.f32 alpha alpha))
(*.f32 (*.f32 alpha u0) alpha)
(*.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(*.f32 (*.f32 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 (fma.f32 #s(literal 1/2 binary32) (*.f32 u0 u0) u0) alpha) alpha)
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) u0))
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)) alpha)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(*.f32 (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) (neg.f32 alpha))
(*.f32 (*.f32 u0 (fma.f32 u0 (*.f32 alpha #s(literal -1/2 binary32)) (neg.f32 alpha))) (neg.f32 alpha))
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
(*.f32 (*.f32 u0 alpha) (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha))
(*.f32 (*.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha)) alpha)
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
(*.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 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha))
(*.f32 (*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha)) alpha)
(fma.f32 (*.f32 alpha alpha) u0 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(fma.f32 (*.f32 u0 alpha) alpha (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 #s(literal -5/3 binary32) u0 #s(literal 1/2 binary32))))))
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))
(*.f32 u0 (fma.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
(*.f32 (*.f32 u0 u0) (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))))
(*.f32 u0 (*.f32 alpha (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha))))
Outputs
(*.f32 u0 (*.f32 alpha (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha))))
Calls

6 calls:

39.0ms
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
9.0ms
(-.f32 #s(literal 1 binary32) u0)
8.0ms
(*.f32 (neg.f32 alpha) alpha)
8.0ms
alpha
8.0ms
u0
Results
AccuracySegmentsBranch
92.9%1u0
92.9%1alpha
92.9%1(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
92.9%1(*.f32 (neg.f32 alpha) alpha)
92.9%1(log.f32 (-.f32 #s(literal 1 binary32) u0))
92.9%1(-.f32 #s(literal 1 binary32) u0)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes52.0ms (0.5%)

Memory
-22.1MiB live, 101.3MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
(*.f32 u0 (*.f32 alpha alpha))
(*.f32 (*.f32 alpha u0) alpha)
(*.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(*.f32 (*.f32 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 (fma.f32 #s(literal 1/2 binary32) (*.f32 u0 u0) u0) alpha) alpha)
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) u0))
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)) alpha)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(*.f32 (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) (neg.f32 alpha))
(*.f32 (*.f32 u0 (fma.f32 u0 (*.f32 alpha #s(literal -1/2 binary32)) (neg.f32 alpha))) (neg.f32 alpha))
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
(*.f32 (*.f32 u0 alpha) (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha))
(*.f32 (*.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha)) alpha)
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha)))
(*.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 alpha u0) (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha))
(*.f32 (*.f32 (*.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 alpha)) alpha)
(fma.f32 (*.f32 alpha alpha) u0 (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(fma.f32 (*.f32 u0 alpha) alpha (*.f32 (*.f32 alpha alpha) (*.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)))))
(*.f32 u0 (fma.f32 alpha alpha (*.f32 u0 (*.f32 (*.f32 alpha alpha) (fma.f32 #s(literal -5/3 binary32) u0 #s(literal 1/2 binary32))))))
(*.f32 u0 (fma.f32 u0 (*.f32 alpha (*.f32 alpha (fma.f32 u0 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (*.f32 alpha alpha)))
(*.f32 u0 (fma.f32 (*.f32 (*.f32 alpha alpha) u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
(*.f32 (*.f32 u0 u0) (*.f32 alpha (fma.f32 alpha #s(literal 1/2 binary32) (/.f32 alpha u0))))
Outputs
(*.f32 (*.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha)) alpha)
Calls

6 calls:

11.0ms
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
9.0ms
(-.f32 #s(literal 1 binary32) u0)
7.0ms
u0
7.0ms
alpha
7.0ms
(*.f32 (neg.f32 alpha) alpha)
Results
AccuracySegmentsBranch
91.1%1u0
91.1%1(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
91.1%1(*.f32 (neg.f32 alpha) alpha)
91.1%1(log.f32 (-.f32 #s(literal 1 binary32) u0))
91.1%1(-.f32 #s(literal 1 binary32) u0)
91.1%1alpha
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes32.0ms (0.3%)

Memory
-9.3MiB live, 66.0MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(*.f32 u0 (*.f32 alpha alpha))
(*.f32 (*.f32 alpha u0) alpha)
(*.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(*.f32 (*.f32 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 (fma.f32 #s(literal 1/2 binary32) (*.f32 u0 u0) u0) alpha) alpha)
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) u0))
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)) alpha)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(*.f32 (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) (neg.f32 alpha))
(*.f32 (*.f32 u0 (fma.f32 u0 (*.f32 alpha #s(literal -1/2 binary32)) (neg.f32 alpha))) (neg.f32 alpha))
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
(*.f32 (*.f32 u0 alpha) (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha))
Outputs
(*.f32 (*.f32 u0 alpha) (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha))
Calls

6 calls:

6.0ms
(*.f32 (neg.f32 alpha) alpha)
6.0ms
alpha
5.0ms
u0
5.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u0))
5.0ms
(-.f32 #s(literal 1 binary32) u0)
Results
AccuracySegmentsBranch
91.0%1alpha
91.0%1u0
91.0%1(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
91.0%1(*.f32 (neg.f32 alpha) alpha)
91.0%1(log.f32 (-.f32 #s(literal 1 binary32) u0))
91.0%1(-.f32 #s(literal 1 binary32) u0)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes27.0ms (0.2%)

Memory
27.2MiB live, 66.8MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(*.f32 u0 (*.f32 alpha alpha))
(*.f32 (*.f32 alpha u0) alpha)
(*.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(*.f32 (*.f32 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 (fma.f32 #s(literal 1/2 binary32) (*.f32 u0 u0) u0) alpha) alpha)
(*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) u0))
(*.f32 (*.f32 u0 alpha) (neg.f32 (*.f32 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32)) alpha)))
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))))
(*.f32 (*.f32 (*.f32 alpha u0) (fma.f32 u0 #s(literal -1/2 binary32) #s(literal -1 binary32))) (neg.f32 alpha))
(*.f32 (*.f32 u0 (fma.f32 u0 (*.f32 alpha #s(literal -1/2 binary32)) (neg.f32 alpha))) (neg.f32 alpha))
(*.f32 u0 (fma.f32 u0 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 alpha alpha)))
Outputs
(*.f32 (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha)
Calls

6 calls:

5.0ms
u0
4.0ms
(*.f32 (neg.f32 alpha) alpha)
4.0ms
alpha
4.0ms
(-.f32 #s(literal 1 binary32) u0)
4.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u0))
Results
AccuracySegmentsBranch
86.2%1(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
86.2%1alpha
86.2%1u0
86.2%1(*.f32 (neg.f32 alpha) alpha)
86.2%1(log.f32 (-.f32 #s(literal 1 binary32) u0))
86.2%1(-.f32 #s(literal 1 binary32) u0)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes17.0ms (0.2%)

Memory
-11.3MiB live, 31.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f32 u0 (*.f32 alpha alpha))
(*.f32 (*.f32 alpha u0) alpha)
(*.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
(*.f32 (*.f32 u0 alpha) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))
Outputs
(*.f32 (*.f32 u0 alpha) (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha))
Calls

6 calls:

5.0ms
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
2.0ms
u0
2.0ms
(*.f32 (neg.f32 alpha) alpha)
2.0ms
alpha
2.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u0))
Results
AccuracySegmentsBranch
86.1%1u0
86.1%1(log.f32 (-.f32 #s(literal 1 binary32) u0))
86.1%1(-.f32 #s(literal 1 binary32) u0)
86.1%1alpha
86.1%1(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
86.1%1(*.f32 (neg.f32 alpha) alpha)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes14.0ms (0.1%)

Memory
-0.0MiB live, 38.5MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f32 u0 (*.f32 alpha alpha))
(*.f32 (*.f32 alpha u0) alpha)
(*.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
Outputs
(*.f32 (*.f32 alpha alpha) (fma.f32 u0 (*.f32 u0 #s(literal 1/2 binary32)) u0))
Calls

6 calls:

3.0ms
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
2.0ms
(*.f32 (neg.f32 alpha) alpha)
2.0ms
alpha
2.0ms
u0
2.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u0))
Results
AccuracySegmentsBranch
86.0%1u0
86.0%1(*.f32 (neg.f32 alpha) alpha)
86.0%1(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
86.0%1(log.f32 (-.f32 #s(literal 1 binary32) u0))
86.0%1(-.f32 #s(literal 1 binary32) u0)
86.0%1alpha
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes12.0ms (0.1%)

Memory
-14.4MiB live, 24.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f32 u0 (*.f32 alpha alpha))
(*.f32 (*.f32 alpha u0) alpha)
(*.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
Outputs
(*.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
Calls

6 calls:

2.0ms
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
2.0ms
alpha
2.0ms
(*.f32 (neg.f32 alpha) alpha)
2.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u0))
2.0ms
u0
Results
AccuracySegmentsBranch
85.8%1u0
85.8%1(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
85.8%1(*.f32 (neg.f32 alpha) alpha)
85.8%1(log.f32 (-.f32 #s(literal 1 binary32) u0))
85.8%1(-.f32 #s(literal 1 binary32) u0)
85.8%1alpha
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes10.0ms (0.1%)

Memory
22.2MiB live, 22.2MiB 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:

2.0ms
alpha
2.0ms
u0
2.0ms
(*.f32 (neg.f32 alpha) alpha)
1.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u0))
1.0ms
(-.f32 #s(literal 1 binary32) u0)
Results
AccuracySegmentsBranch
73.1%1(*.f32 (neg.f32 alpha) alpha)
73.1%1u0
73.1%1(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
73.1%1alpha
73.1%1(log.f32 (-.f32 #s(literal 1 binary32) u0))
73.1%1(-.f32 #s(literal 1 binary32) u0)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes8.0ms (0.1%)

Memory
-12.7MiB live, 27.0MiB 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:

2.0ms
(-.f32 #s(literal 1 binary32) u0)
1.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u0))
1.0ms
(*.f32 (neg.f32 alpha) alpha)
1.0ms
u0
1.0ms
alpha
Results
AccuracySegmentsBranch
73.0%1u0
73.0%1(log.f32 (-.f32 #s(literal 1 binary32) u0))
73.0%1(-.f32 #s(literal 1 binary32) u0)
73.0%1(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
73.0%1alpha
73.0%1(*.f32 (neg.f32 alpha) alpha)
Compiler

Compiled 34 to 25 computations (26.5% saved)

simplify15.0ms (0.1%)

Memory
-12.3MiB live, 30.0MiB allocated
Algorithm
1×egg-herbie
Rules
102×*-commutative_binary32
42×neg-sub0_binary32
42×neg-mul-1_binary32
36×sub-neg_binary32
36×+-commutative_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057173
1106173
2150173
3191173
4214173
5227173
6234173
7239173
8241173
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
(*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (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 (fma.f32 (neg.f32 u0) alpha (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha)))) (neg.f32 alpha))
(*.f32 (*.f32 alpha alpha) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (neg.f32 u0)) u0))
(*.f32 u0 (*.f32 alpha (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha))))
(*.f32 (*.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha)) alpha)
(*.f32 (*.f32 u0 alpha) (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) 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 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 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(*.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 (*.f32 (neg.f32 alpha) alpha) (*.f32 u0 (/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (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 (neg.f32 (*.f32 alpha alpha)) (*.f32 u0 (/.f32 (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 u0 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (*.f32 u0 u0)) #s(literal -1 binary32)) (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 (fma.f32 (neg.f32 u0) alpha (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha)))) (neg.f32 alpha))
(*.f32 (neg.f32 alpha) (fma.f32 (neg.f32 u0) alpha (*.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (*.f32 u0 alpha)))))
(*.f32 (*.f32 alpha alpha) (fma.f32 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (*.f32 u0 (neg.f32 u0)) u0))
(*.f32 u0 (*.f32 alpha (neg.f32 (*.f32 (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) alpha))))
(*.f32 u0 (*.f32 alpha (*.f32 (neg.f32 alpha) (fma.f32 u0 (fma.f32 u0 (fma.f32 u0 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(*.f32 (*.f32 u0 (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha)) alpha)
(*.f32 alpha (*.f32 u0 (fma.f32 (*.f32 u0 alpha) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha)))
(*.f32 (*.f32 u0 alpha) (fma.f32 (*.f32 alpha u0) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha))
(*.f32 (*.f32 u0 alpha) (fma.f32 (*.f32 u0 alpha) (fma.f32 #s(literal 1/3 binary32) u0 #s(literal 1/2 binary32)) alpha))
(*.f32 (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)) alpha)
(*.f32 alpha (*.f32 u0 (fma.f32 alpha (*.f32 u0 #s(literal 1/2 binary32)) alpha)))
(*.f32 (*.f32 u0 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 (*.f32 alpha alpha) (*.f32 (fma.f32 u0 #s(literal 1/2 binary32) #s(literal 1 binary32)) u0))
(*.f32 (*.f32 alpha alpha) (*.f32 u0 (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))

soundness1.4s (12.2%)

Memory
-11.5MiB live, 1 318.7MiB allocated
Rules
16 992×accelerator-lowering-fma.f32
16 992×accelerator-lowering-fma.f64
16 926×accelerator-lowering-fma.f32
16 926×accelerator-lowering-fma.f64
11 082×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05555286
118105098
258085038
084444572
049358
1327262
03152221
052289
1288273
22439273
09414240
03556004
111285814
235135339
082165012
044221
1303181
23085161
08671131
0112562
1307535
2805502
32108490
45927483
08142455
0819
13419
217519
3130919
0947915
Stop Event
1×fuel
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×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 657 to 373 computations (43.2% saved)

preprocess58.0ms (0.5%)

Memory
16.2MiB live, 173.2MiB allocated
Remove

(abs alpha)

Compiler

Compiled 572 to 266 computations (53.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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