Disney BSSRDF, sample scattering profile, lower

Time bar (total: 2.8s)

analyze47.0ms (1.7%)

Memory
-21.9MiB live, 94.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%1.5%98.5%0%0%0%0
0%0%1.5%98.5%0%0%0%1
0%0%1.5%98.5%0%0%0%2
0%0%1.5%98.5%0%0%0%3
0%0%1.5%98.5%0%0%0%4
50%0.8%0.8%98.5%0%0%0%5
50%0.8%0.8%98.5%0%0%0%6
75%1.2%0.4%98.5%0%0%0%7
75%1.2%0.4%98.5%0%0%0%8
87.5%1.4%0.2%98.5%0%0%0%9
87.5%1.4%0.2%98.5%0%0%0%10
93.7%1.4%0.1%98.5%0%0%0%11
93.7%1.4%0.1%98.5%0%0%0%12
Compiler

Compiled 26 to 21 computations (19.2% saved)

sample1.2s (44%)

Memory
35.1MiB live, 1 998.4MiB allocated
Samples
924.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 719.0ms
ival-log: 169.0ms (23.5% of total)
const: 146.0ms (20.3% of total)
ival-mult: 125.0ms (17.4% of total)
ival-<=: 109.0ms (15.2% of total)
ival-div: 82.0ms (11.4% of total)
ival-sub: 41.0ms (5.7% of total)
ival-and: 24.0ms (3.3% of total)
exact: 21.0ms (2.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess35.0ms (1.3%)

Memory
35.5MiB live, 75.2MiB allocated
Algorithm
egg-herbie
Rules
116×distribute-lft-neg-in
72×unsub-neg
72×sub-neg
68×accelerator-lowering-fma.f32
68×accelerator-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02458
17152
213652
328152
442352
555552
661652
766452
869152
970652
1070952
099
1219
2369
3559
4769
5959
61219
71539
81679
91759
101789
111819
01817
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* s (log (/ 1 (- 1 (* 4 u)))))
Outputs
(* s (log (/ 1 (- 1 (* 4 u)))))
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
Call 2
Inputs
(* s (log (/ 1 (- 1 (* 4 u)))))
(* (neg s) (log (/ 1 (- 1 (* 4 u)))))
(* s (log (/ 1 (- 1 (* 4 (neg u))))))
(neg (* (neg s) (log (/ 1 (- 1 (* 4 u))))))
(neg (* s (log (/ 1 (- 1 (* 4 (neg u)))))))
(* u (log (/ 1 (- 1 (* 4 s)))))
Outputs
(* s (log (/ 1 (- 1 (* 4 u)))))
(* (neg s) (log (+ 1 (* u -4))))
(* (neg s) (log (/ 1 (- 1 (* 4 u)))))
(* s (log (+ 1 (* u -4))))
(* s (log (/ 1 (- 1 (* 4 (neg u))))))
(* (neg s) (log (+ 1 (* 4 u))))
(neg (* (neg s) (log (/ 1 (- 1 (* 4 u))))))
(* (neg s) (log (+ 1 (* u -4))))
(neg (* s (log (/ 1 (- 1 (* 4 (neg u)))))))
(* s (log (+ 1 (* 4 u))))
(* u (log (/ 1 (- 1 (* 4 s)))))
(* (neg u) (log (+ 1 (* s -4))))
Symmetry

(negabs s)

explain102.0ms (3.7%)

Memory
-28.5MiB live, 249.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1993(5.321359897045376e-19 0.0005342841614037752)14(0.00021225950331427157 0.0045075491070747375)(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u))))
00-0-(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u)))
00-0-#s(literal 1 binary32)
00-0-(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u))
00-0-u
00-0-#s(literal 4 binary32)
00-0-(*.f32 #s(literal 4 binary32) u)
00-0-s
00-0-(*.f32 s (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u)))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u))))sensitivity18817
Confusion
Predicted +Predicted -
+17312
-1556
Precision
0.9202127659574468
Recall
0.9351351351351351
Confusion?
Predicted +Predicted MaybePredicted -
+173120
-15551
Precision?
0.9024390243902439
Recall?
1.0
Freqs
test
numberfreq
068
1188
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms512×0valid
Compiler

Compiled 102 to 40 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-log: 8.0ms (32.3% of total)
ival-mult: 7.0ms (28.3% of total)
ival-sub: 4.0ms (16.2% of total)
ival-div: 4.0ms (16.2% of total)
exact: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.9%
(*.f32 s (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u)))))
Compiler

Compiled 12 to 9 computations (25% saved)

simplify9.0ms (0.3%)

Memory
16.8MiB live, 16.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-32
(*.f32 s (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u)))))
cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u)))
cost-diff96
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u))
cost-diff288
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u))))
Rules
68×accelerator-lowering-fma.f32
68×accelerator-lowering-fma.f64
64×+-lowering-+.f64
64×+-lowering-+.f32
52×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
12135
23635
35535
47635
59535
612135
715335
816735
917535
1017835
1118135
018129
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* s (log (/ 1 (- 1 (* 4 u)))))
s
(log (/ 1 (- 1 (* 4 u))))
(/ 1 (- 1 (* 4 u)))
1
(- 1 (* 4 u))
(* 4 u)
4
u
Outputs
(* s (log (/ 1 (- 1 (* 4 u)))))
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
s
(log (/ 1 (- 1 (* 4 u))))
(neg.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))))
(/ 1 (- 1 (* 4 u)))
(/.f32 #s(literal -1 binary32) (fma.f32 #s(literal 4 binary32) u #s(literal -1 binary32)))
1
#s(literal 1 binary32)
(- 1 (* 4 u))
(fma.f32 u #s(literal -4 binary32) #s(literal 1 binary32))
(* 4 u)
(fma.f32 #s(literal 4 binary32) u #s(literal 0 binary32))
4
#s(literal 4 binary32)
u

localize29.0ms (1.1%)

Memory
-18.9MiB live, 58.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f32 #s(literal 4 binary32) u)
accuracy99.4%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u)))
accuracy99.4%
(*.f32 s (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u)))))
accuracy57.0%
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u))))
Samples
19.0ms256×0valid
Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-log: 4.0ms (32.1% of total)
ival-mult: 4.0ms (32.1% of total)
ival-sub: 2.0ms (16.1% of total)
ival-div: 2.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series51.0ms (1.8%)

Memory
12.0MiB live, 92.1MiB allocated
Counts
5 → 72
Calls
Call 1
Inputs
#<alt (log (/ 1 (- 1 (* 4 u))))>
#<alt (- 1 (* 4 u))>
#<alt (/ 1 (- 1 (* 4 u)))>
#<alt (* s (log (/ 1 (- 1 (* 4 u)))))>
#<alt (* 4 u)>
Outputs
#<alt (* 4 u)>
#<alt (* u (+ 4 (* 8 u)))>
#<alt (* u (+ 4 (* u (+ 8 (* 64/3 u)))))>
#<alt (* u (+ 4 (* u (+ 8 (* u (+ 64/3 (* 64 u)))))))>
#<alt (+ (log -1/4) (log (/ 1 u)))>
#<alt (+ (log -1/4) (+ (log (/ 1 u)) (* 1/4 (/ 1 u))))>
#<alt (+ (log -1/4) (+ (log (/ 1 u)) (+ (/ 1/32 (pow u 2)) (* 1/4 (/ 1 u)))))>
#<alt (+ (log -1/4) (+ (log (/ 1 u)) (+ (/ 1/32 (pow u 2)) (+ (* 1/4 (/ 1 u)) (* 1/192 (/ 1 (pow u 3)))))))>
#<alt (+ (log 1/4) (log (/ -1 u)))>
#<alt (+ (log 1/4) (+ (log (/ -1 u)) (* 1/4 (/ 1 u))))>
#<alt (+ (log 1/4) (+ (log (/ -1 u)) (+ (/ 1/32 (pow u 2)) (* 1/4 (/ 1 u)))))>
#<alt (+ (log 1/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/192 (/ 1 u))) u)) 1/4) u))))>
#<alt 1>
#<alt (+ 1 (* -4 u))>
#<alt (+ 1 (* -4 u))>
#<alt (+ 1 (* -4 u))>
#<alt (* -4 u)>
#<alt (* u (- (/ 1 u) 4))>
#<alt (* u (- (/ 1 u) 4))>
#<alt (* u (- (/ 1 u) 4))>
#<alt (* -4 u)>
#<alt (* -1 (* u (- 4 (/ 1 u))))>
#<alt (* -1 (* u (- 4 (/ 1 u))))>
#<alt (* -1 (* u (- 4 (/ 1 u))))>
#<alt 1>
#<alt (+ 1 (* 4 u))>
#<alt (+ 1 (* u (+ 4 (* 16 u))))>
#<alt (+ 1 (* u (+ 4 (* u (+ 16 (* 64 u))))))>
#<alt (/ -1/4 u)>
#<alt (* -1 (/ (+ 1/4 (* 1/16 (/ 1 u))) u))>
#<alt (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 u))) u)) 1/4) u)>
#<alt (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 u))) (pow u 2))) (+ 1/4 (* 1/16 (/ 1 u)))) u)>
#<alt (/ -1/4 u)>
#<alt (* -1 (/ (+ 1/4 (* 1/16 (/ 1 u))) u))>
#<alt (* -1 (/ (+ 1/4 (+ (/ 1/64 (pow u 2)) (* 1/16 (/ 1 u)))) u))>
#<alt (* -1 (/ (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 u))) u)) 1/16) u))) u))>
#<alt (* s (log (/ 1 (- 1 (* 4 u)))))>
#<alt (* s (log (/ 1 (- 1 (* 4 u)))))>
#<alt (* s (log (/ 1 (- 1 (* 4 u)))))>
#<alt (* s (log (/ 1 (- 1 (* 4 u)))))>
#<alt (* s (log (/ 1 (- 1 (* 4 u)))))>
#<alt (* s (log (/ 1 (- 1 (* 4 u)))))>
#<alt (* s (log (/ 1 (- 1 (* 4 u)))))>
#<alt (* s (log (/ 1 (- 1 (* 4 u)))))>
#<alt (* s (log (/ 1 (- 1 (* 4 u)))))>
#<alt (* s (log (/ 1 (- 1 (* 4 u)))))>
#<alt (* s (log (/ 1 (- 1 (* 4 u)))))>
#<alt (* s (log (/ 1 (- 1 (* 4 u)))))>
#<alt (* 4 (* s u))>
#<alt (* u (+ (* 4 s) (* 8 (* s u))))>
#<alt (* u (+ (* 4 s) (* u (+ (* 8 s) (* 64/3 (* s u))))))>
#<alt (* u (+ (* 4 s) (* u (+ (* 8 s) (* u (+ (* 64/3 s) (* 64 (* s u))))))))>
#<alt (* s (+ (log -1/4) (log (/ 1 u))))>
#<alt (+ (* 1/4 (/ s u)) (* s (+ (log -1/4) (log (/ 1 u)))))>
#<alt (+ (* 1/32 (/ s (pow u 2))) (+ (* 1/4 (/ s u)) (* s (+ (log -1/4) (log (/ 1 u))))))>
#<alt (+ (* 1/192 (/ s (pow u 3))) (+ (* 1/32 (/ s (pow u 2))) (+ (* 1/4 (/ s u)) (* s (+ (log -1/4) (log (/ 1 u)))))))>
#<alt (* s (+ (log 1/4) (log (/ -1 u))))>
#<alt (+ (* 1/4 (/ s u)) (* s (+ (log 1/4) (log (/ -1 u)))))>
#<alt (+ (* -1 (/ (+ (* -1/4 s) (* -1/32 (/ s u))) u)) (* s (+ (log 1/4) (log (/ -1 u)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/192 (/ s u)) (* 1/32 s)) u)) (* -1/4 s)) u)) (* s (+ (log 1/4) (log (/ -1 u)))))>
#<alt (* 4 u)>
#<alt (* 4 u)>
#<alt (* 4 u)>
#<alt (* 4 u)>
#<alt (* 4 u)>
#<alt (* 4 u)>
#<alt (* 4 u)>
#<alt (* 4 u)>
#<alt (* 4 u)>
#<alt (* 4 u)>
#<alt (* 4 u)>
#<alt (* 4 u)>
Calls

18 calls:

TimeVariablePointExpression
46.0ms
s
@0
(* s (log (/ 1 (- 1 (* 4 u)))))
0.0ms
u
@0
(log (/ 1 (- 1 (* 4 u))))
0.0ms
u
@-inf
(log (/ 1 (- 1 (* 4 u))))
0.0ms
s
@inf
(* s (log (/ 1 (- 1 (* 4 u)))))
0.0ms
u
@inf
(log (/ 1 (- 1 (* 4 u))))

rewrite363.0ms (13.1%)

Memory
-15.2MiB live, 629.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 400×accelerator-lowering-fma.f32
7 400×accelerator-lowering-fma.f64
3 536×*-lowering-*.f32
3 536×*-lowering-*.f64
3 040×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
14431
226031
3198731
0953425
Stop Event
iter limit
node limit
Counts
5 → 571
Calls
Call 1
Inputs
(log (/ 1 (- 1 (* 4 u))))
(- 1 (* 4 u))
(/ 1 (- 1 (* 4 u)))
(* s (log (/ 1 (- 1 (* 4 u)))))
(* 4 u)
Outputs
(neg.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)))
(+.f32 (neg.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u))) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u))))
(+.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 (log1p.f32 (*.f32 u (*.f32 u #s(literal 16 binary32))))))
(+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (fma.f32 #s(literal 4 binary32) u #s(literal -1 binary32)))))
(+.f32 (log1p.f32 (*.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32)))) (neg.f32 (log1p.f32 (*.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u))))))
(+.f32 (fma.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal -1/2 binary32) #s(literal 0 binary32)) (fma.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal -1/2 binary32) #s(literal 0 binary32)))
(+.f32 (neg.f32 (log1p.f32 (*.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u))))) (log1p.f32 (*.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32)))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u))))) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32)) #s(literal 1 binary32))))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 u (*.f32 u #s(literal 16 binary32))))) (log1p.f32 (*.f32 #s(literal 4 binary32) u)))
(+.f32 (neg.f32 (log.f32 (fma.f32 #s(literal 4 binary32) u #s(literal -1 binary32)))) (log.f32 #s(literal -1 binary32)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u (*.f32 u #s(literal 16 binary32)) #s(literal 1 binary32)))) (log.f32 (fma.f32 #s(literal 4 binary32) u #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 262144 binary32) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u)))))))) (log1p.f32 (*.f32 (*.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u))) (fma.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u)) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal 4096 binary32)))))) (log1p.f32 (*.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u)))))
(+.f32 (log.f32 (/.f32 (fma.f32 #s(literal 4 binary32) u #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal 4096 binary32)))))) (log1p.f32 (*.f32 (*.f32 u (*.f32 u #s(literal 16 binary32))) (fma.f32 u (*.f32 u #s(literal 16 binary32)) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 #s(literal 4 binary32) u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 256 binary32) (*.f32 (*.f32 u u) (*.f32 u u)))))) (log1p.f32 (*.f32 u (*.f32 u #s(literal 16 binary32)))))
(pow.f32 (/.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u))) #s(literal 3 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 (log1p.f32 (*.f32 u (*.f32 u #s(literal 16 binary32))))))
(fma.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal -1/2 binary32) (fma.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal -1/2 binary32) #s(literal 0 binary32)))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u))) (neg.f32 (log1p.f32 (*.f32 u (*.f32 u #s(literal 16 binary32))))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log.f32 (fma.f32 #s(literal 4 binary32) u #s(literal -1 binary32))) (log.f32 #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u)))) (log1p.f32 (*.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32)))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u)))) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32)) #s(literal 1 binary32))))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 u (*.f32 u #s(literal 16 binary32)))) (log1p.f32 (*.f32 #s(literal 4 binary32) u)))
(fma.f32 #s(literal 2 binary32) (fma.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal -1/2 binary32) #s(literal 0 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal -2 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 (*.f32 #s(literal 4 binary32) u))) #s(literal 0 binary32))
(fma.f32 #s(literal -1/2 binary32) (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (fma.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal -1/2 binary32) #s(literal 0 binary32)))
(fma.f32 #s(literal -1/2 binary32) (log.f32 (*.f32 (fma.f32 #s(literal 4 binary32) u #s(literal 1 binary32)) (fma.f32 #s(literal 4 binary32) u #s(literal 1 binary32)))) #s(literal 0 binary32))
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(*.f32 (pow.f32 (/.f32 (fma.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u)) #s(literal 1 binary32)) (fma.f32 (*.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32))) (*.f32 (*.f32 u (*.f32 u #s(literal 16 binary32))) (fma.f32 u (*.f32 u #s(literal 16 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32))) (-.f32 (*.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (fma.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u (*.f32 u #s(literal 16 binary32))) (fma.f32 u (*.f32 u #s(literal 16 binary32)) #s(literal 1 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (fma.f32 u (*.f32 u #s(literal 16 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (pow.f32 (fma.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (fma.f32 u (*.f32 u #s(literal 16 binary32)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (fma.f32 #s(literal 4 binary32) u #s(literal 1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(*.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (neg.f32 (log.f32 (fma.f32 #s(literal 4 binary32) u #s(literal -1 binary32))))))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 (*.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u)))))) (exp.f32 (log1p.f32 (*.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32))))))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 (*.f32 u (*.f32 u #s(literal 16 binary32)))))) (fma.f32 #s(literal 4 binary32) u #s(literal 1 binary32)))
(neg.f32 (*.f32 s (log1p.f32 (*.f32 #s(literal 4 binary32) u))))
(+.f32 (*.f32 s #s(literal 0 binary32)) (*.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 s)))
(+.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 s)))
(fma.f32 s #s(literal 0 binary32) (*.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 s)))
(fma.f32 #s(literal 0 binary32) s (*.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 s)))
(-.f32 #s(literal 0 binary32) (*.f32 s (log1p.f32 (*.f32 #s(literal 4 binary32) u))))
(/.f32 (*.f32 s (pow.f32 (neg.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u))) #s(literal 3 binary32))) (pow.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal 2 binary32)))
(/.f32 (*.f32 s (neg.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 #s(literal 4 binary32) u)))
(/.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u))) #s(literal 3 binary32)) s) (pow.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal 2 binary32)))
(/.f32 (*.f32 (neg.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal 2 binary32))) s) (log1p.f32 (*.f32 #s(literal 4 binary32) u)))
(/.f32 (neg.f32 (*.f32 s (pow.f32 (neg.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u))) #s(literal 3 binary32)))) (neg.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (*.f32 s (neg.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal 2 binary32))))) (neg.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u))))
(/.f32 (neg.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u))) #s(literal 3 binary32)) s)) (neg.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal 2 binary32))) s)) (neg.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u))))
(/.f32 (+.f32 (pow.f32 (*.f32 s #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 s)) #s(literal 3 binary32))) (fma.f32 (*.f32 s #s(literal 0 binary32)) (*.f32 s #s(literal 0 binary32)) (-.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 s)) (*.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 s))) (*.f32 (*.f32 s #s(literal 0 binary32)) (*.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 s))))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 0 binary32) s) #s(literal 3 binary32)) (pow.f32 (*.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 s)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 0 binary32) s) (-.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 s)) (*.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 s))) (*.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 s))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 s (log1p.f32 (*.f32 #s(literal 4 binary32) u))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (*.f32 s (log1p.f32 (*.f32 #s(literal 4 binary32) u))) (*.f32 s (log1p.f32 (*.f32 #s(literal 4 binary32) u))) (*.f32 #s(literal 0 binary32) (*.f32 s (log1p.f32 (*.f32 #s(literal 4 binary32) u)))))))
(*.f32 (neg.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u))) s)
(*.f32 s (neg.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u))))
(*.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) (neg.f32 s))
(*.f32 #s(literal -1 binary32) (*.f32 s (log1p.f32 (*.f32 #s(literal 4 binary32) u))))
(*.f32 (neg.f32 s) (log1p.f32 (*.f32 #s(literal 4 binary32) u)))
(*.f32 (*.f32 s #s(literal -1 binary32)) (log1p.f32 (*.f32 #s(literal 4 binary32) u)))
(neg.f32 (*.f32 u #s(literal -4 binary32)))
(exp.f32 (log.f32 (*.f32 #s(literal 4 binary32) u)))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal 1 binary32)))
(pow.f32 (*.f32 #s(literal 4 binary32) u) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 u #s(literal -4 binary32)))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 u #s(literal -4 binary32)) #s(literal 1 binary32)))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 #s(literal 4 binary32) u) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u)))
(/.f32 (*.f32 #s(literal 4 binary32) u) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u))))
(/.f32 (*.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u))) (+.f32 #s(literal 0 binary32) (fma.f32 u (*.f32 u #s(literal 16 binary32)) (*.f32 #s(literal 0 binary32) (*.f32 u #s(literal -4 binary32))))))
(/.f32 (*.f32 u #s(literal -4 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u))
(*.f32 #s(literal 4 binary32) u)
(*.f32 #s(literal 4 binary32) (neg.f32 (neg.f32 u)))
(*.f32 #s(literal 4 binary32) (/.f32 u #s(literal 1 binary32)))
(*.f32 #s(literal 4 binary32) (pow.f32 u #s(literal 1 binary32)))
(*.f32 #s(literal 4 binary32) (pow.f32 (neg.f32 (neg.f32 u)) #s(literal 1 binary32)))
(*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 u #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 u #s(literal 4 binary32))
(*.f32 (*.f32 #s(literal 4 binary32) u) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 u #s(literal -4 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u #s(literal -4 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal -4 binary32) (neg.f32 u))
(*.f32 #s(literal -4 binary32) (pow.f32 (neg.f32 u) #s(literal 1 binary32)))
(*.f32 (neg.f32 u) #s(literal -4 binary32))
(*.f32 (neg.f32 (neg.f32 u)) #s(literal 4 binary32))
(*.f32 (pow.f32 u #s(literal 1 binary32)) #s(literal 4 binary32))
(*.f32 (pow.f32 (neg.f32 (neg.f32 u)) #s(literal 1 binary32)) #s(literal 4 binary32))
(*.f32 (pow.f32 (neg.f32 u) #s(literal 1 binary32)) #s(literal -4 binary32))
(*.f32 (exp.f32 (log.f32 u)) (exp.f32 (log.f32 #s(literal 4 binary32))))
(*.f32 (exp.f32 (log.f32 #s(literal 4 binary32))) (exp.f32 (log.f32 u)))

simplify497.0ms (17.9%)

Memory
26.8MiB live, 427.8MiB allocated
Algorithm
egg-herbie
Rules
12 674×accelerator-lowering-fma.f32
12 674×accelerator-lowering-fma.f64
3 588×+-lowering-+.f64
3 588×+-lowering-+.f32
3 208×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0170657
1483641
21149620
32356598
44706596
08208539
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* 4 u)
(* u (+ 4 (* 8 u)))
(* u (+ 4 (* u (+ 8 (* 64/3 u)))))
(* u (+ 4 (* u (+ 8 (* u (+ 64/3 (* 64 u)))))))
(+ (log -1/4) (log (/ 1 u)))
(+ (log -1/4) (+ (log (/ 1 u)) (* 1/4 (/ 1 u))))
(+ (log -1/4) (+ (log (/ 1 u)) (+ (/ 1/32 (pow u 2)) (* 1/4 (/ 1 u)))))
(+ (log -1/4) (+ (log (/ 1 u)) (+ (/ 1/32 (pow u 2)) (+ (* 1/4 (/ 1 u)) (* 1/192 (/ 1 (pow u 3)))))))
(+ (log 1/4) (log (/ -1 u)))
(+ (log 1/4) (+ (log (/ -1 u)) (* 1/4 (/ 1 u))))
(+ (log 1/4) (+ (log (/ -1 u)) (+ (/ 1/32 (pow u 2)) (* 1/4 (/ 1 u)))))
(+ (log 1/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/192 (/ 1 u))) u)) 1/4) u))))
1
(+ 1 (* -4 u))
(+ 1 (* -4 u))
(+ 1 (* -4 u))
(* -4 u)
(* u (- (/ 1 u) 4))
(* u (- (/ 1 u) 4))
(* u (- (/ 1 u) 4))
(* -4 u)
(* -1 (* u (- 4 (/ 1 u))))
(* -1 (* u (- 4 (/ 1 u))))
(* -1 (* u (- 4 (/ 1 u))))
1
(+ 1 (* 4 u))
(+ 1 (* u (+ 4 (* 16 u))))
(+ 1 (* u (+ 4 (* u (+ 16 (* 64 u))))))
(/ -1/4 u)
(* -1 (/ (+ 1/4 (* 1/16 (/ 1 u))) u))
(/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 u))) u)) 1/4) u)
(/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 u))) (pow u 2))) (+ 1/4 (* 1/16 (/ 1 u)))) u)
(/ -1/4 u)
(* -1 (/ (+ 1/4 (* 1/16 (/ 1 u))) u))
(* -1 (/ (+ 1/4 (+ (/ 1/64 (pow u 2)) (* 1/16 (/ 1 u)))) u))
(* -1 (/ (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 u))) u)) 1/16) u))) u))
(* s (log (/ 1 (- 1 (* 4 u)))))
(* s (log (/ 1 (- 1 (* 4 u)))))
(* s (log (/ 1 (- 1 (* 4 u)))))
(* s (log (/ 1 (- 1 (* 4 u)))))
(* s (log (/ 1 (- 1 (* 4 u)))))
(* s (log (/ 1 (- 1 (* 4 u)))))
(* s (log (/ 1 (- 1 (* 4 u)))))
(* s (log (/ 1 (- 1 (* 4 u)))))
(* s (log (/ 1 (- 1 (* 4 u)))))
(* s (log (/ 1 (- 1 (* 4 u)))))
(* s (log (/ 1 (- 1 (* 4 u)))))
(* s (log (/ 1 (- 1 (* 4 u)))))
(* 4 (* s u))
(* u (+ (* 4 s) (* 8 (* s u))))
(* u (+ (* 4 s) (* u (+ (* 8 s) (* 64/3 (* s u))))))
(* u (+ (* 4 s) (* u (+ (* 8 s) (* u (+ (* 64/3 s) (* 64 (* s u))))))))
(* s (+ (log -1/4) (log (/ 1 u))))
(+ (* 1/4 (/ s u)) (* s (+ (log -1/4) (log (/ 1 u)))))
(+ (* 1/32 (/ s (pow u 2))) (+ (* 1/4 (/ s u)) (* s (+ (log -1/4) (log (/ 1 u))))))
(+ (* 1/192 (/ s (pow u 3))) (+ (* 1/32 (/ s (pow u 2))) (+ (* 1/4 (/ s u)) (* s (+ (log -1/4) (log (/ 1 u)))))))
(* s (+ (log 1/4) (log (/ -1 u))))
(+ (* 1/4 (/ s u)) (* s (+ (log 1/4) (log (/ -1 u)))))
(+ (* -1 (/ (+ (* -1/4 s) (* -1/32 (/ s u))) u)) (* s (+ (log 1/4) (log (/ -1 u)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/192 (/ s u)) (* 1/32 s)) u)) (* -1/4 s)) u)) (* s (+ (log 1/4) (log (/ -1 u)))))
(* 4 u)
(* 4 u)
(* 4 u)
(* 4 u)
(* 4 u)
(* 4 u)
(* 4 u)
(* 4 u)
(* 4 u)
(* 4 u)
(* 4 u)
(* 4 u)
Outputs
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* u (+ 4 (* 8 u)))
(*.f32 u (fma.f32 u #s(literal 8 binary32) #s(literal 4 binary32)))
(* u (+ 4 (* u (+ 8 (* 64/3 u)))))
(*.f32 u (fma.f32 u (fma.f32 u #s(literal 64/3 binary32) #s(literal 8 binary32)) #s(literal 4 binary32)))
(* u (+ 4 (* u (+ 8 (* u (+ 64/3 (* 64 u)))))))
(*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 64 binary32) #s(literal 64/3 binary32)) #s(literal 8 binary32)) #s(literal 4 binary32)))
(+ (log -1/4) (log (/ 1 u)))
(-.f32 (log.f32 #s(literal -1/4 binary32)) (log.f32 u))
(+ (log -1/4) (+ (log (/ 1 u)) (* 1/4 (/ 1 u))))
(+.f32 (log.f32 #s(literal -1/4 binary32)) (-.f32 (/.f32 #s(literal 1/4 binary32) u) (log.f32 u)))
(+ (log -1/4) (+ (log (/ 1 u)) (+ (/ 1/32 (pow u 2)) (* 1/4 (/ 1 u)))))
(+.f32 (log.f32 #s(literal -1/4 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) u) (-.f32 (/.f32 #s(literal 1/32 binary32) (*.f32 u u)) (log.f32 u))))
(+ (log -1/4) (+ (log (/ 1 u)) (+ (/ 1/32 (pow u 2)) (+ (* 1/4 (/ 1 u)) (* 1/192 (/ 1 (pow u 3)))))))
(+.f32 (log.f32 #s(literal -1/4 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/192 binary32) (*.f32 u u))) (-.f32 (/.f32 #s(literal 1/32 binary32) (*.f32 u u)) (log.f32 u))))
(+ (log 1/4) (log (/ -1 u)))
(-.f32 (log.f32 #s(literal 1/4 binary32)) (log.f32 (neg.f32 u)))
(+ (log 1/4) (+ (log (/ -1 u)) (* 1/4 (/ 1 u))))
(+.f32 (/.f32 #s(literal 1/4 binary32) u) (-.f32 (log.f32 #s(literal 1/4 binary32)) (log.f32 (neg.f32 u))))
(+ (log 1/4) (+ (log (/ -1 u)) (+ (/ 1/32 (pow u 2)) (* 1/4 (/ 1 u)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) u) (+.f32 (/.f32 #s(literal 1/32 binary32) (*.f32 u u)) (-.f32 (log.f32 #s(literal 1/4 binary32)) (log.f32 (neg.f32 u)))))
(+ (log 1/4) (+ (log (/ -1 u)) (* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/192 (/ 1 u))) u)) 1/4) u))))
(+.f32 (-.f32 (log.f32 #s(literal 1/4 binary32)) (log.f32 (neg.f32 u))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 1/32 binary32) (/.f32 #s(literal -1/192 binary32) u)) u)) u))
1
#s(literal 1 binary32)
(+ 1 (* -4 u))
(fma.f32 u #s(literal -4 binary32) #s(literal 1 binary32))
(+ 1 (* -4 u))
(fma.f32 u #s(literal -4 binary32) #s(literal 1 binary32))
(+ 1 (* -4 u))
(fma.f32 u #s(literal -4 binary32) #s(literal 1 binary32))
(* -4 u)
(fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))
(* u (- (/ 1 u) 4))
(fma.f32 u #s(literal -4 binary32) #s(literal 1 binary32))
(* u (- (/ 1 u) 4))
(fma.f32 u #s(literal -4 binary32) #s(literal 1 binary32))
(* u (- (/ 1 u) 4))
(fma.f32 u #s(literal -4 binary32) #s(literal 1 binary32))
(* -4 u)
(fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))
(* -1 (* u (- 4 (/ 1 u))))
(fma.f32 u #s(literal -4 binary32) #s(literal 1 binary32))
(* -1 (* u (- 4 (/ 1 u))))
(fma.f32 u #s(literal -4 binary32) #s(literal 1 binary32))
(* -1 (* u (- 4 (/ 1 u))))
(fma.f32 u #s(literal -4 binary32) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* 4 u))
(fma.f32 #s(literal 4 binary32) u #s(literal 1 binary32))
(+ 1 (* u (+ 4 (* 16 u))))
(fma.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32)) #s(literal 1 binary32))
(+ 1 (* u (+ 4 (* u (+ 16 (* 64 u))))))
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal 64 binary32) #s(literal 16 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32))
(/ -1/4 u)
(/.f32 #s(literal -1/4 binary32) u)
(* -1 (/ (+ 1/4 (* 1/16 (/ 1 u))) u))
(/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/16 binary32) u)) u)
(/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 u))) u)) 1/4) u)
(/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -1/64 binary32) u)) u)) u)
(/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 u))) (pow u 2))) (+ 1/4 (* 1/16 (/ 1 u)))) u)
(/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/64 binary32) (/.f32 #s(literal -1/256 binary32) u)) u) #s(literal -1/16 binary32)) u)) u)
(/ -1/4 u)
(/.f32 #s(literal -1/4 binary32) u)
(* -1 (/ (+ 1/4 (* 1/16 (/ 1 u))) u))
(/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/16 binary32) u)) u)
(* -1 (/ (+ 1/4 (+ (/ 1/64 (pow u 2)) (* 1/16 (/ 1 u)))) u))
(/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -1/64 binary32) u)) u)) u)
(* -1 (/ (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 u))) u)) 1/16) u))) u))
(/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/64 binary32) (/.f32 #s(literal -1/256 binary32) u)) u) #s(literal -1/16 binary32)) u)) u)
(* s (log (/ 1 (- 1 (* 4 u)))))
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
(* s (log (/ 1 (- 1 (* 4 u)))))
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
(* s (log (/ 1 (- 1 (* 4 u)))))
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
(* s (log (/ 1 (- 1 (* 4 u)))))
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
(* s (log (/ 1 (- 1 (* 4 u)))))
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
(* s (log (/ 1 (- 1 (* 4 u)))))
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
(* s (log (/ 1 (- 1 (* 4 u)))))
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
(* s (log (/ 1 (- 1 (* 4 u)))))
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
(* s (log (/ 1 (- 1 (* 4 u)))))
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
(* s (log (/ 1 (- 1 (* 4 u)))))
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
(* s (log (/ 1 (- 1 (* 4 u)))))
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
(* s (log (/ 1 (- 1 (* 4 u)))))
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
(* 4 (* s u))
(*.f32 #s(literal 4 binary32) (*.f32 u s))
(* u (+ (* 4 s) (* 8 (* s u))))
(*.f32 u (*.f32 (fma.f32 u #s(literal 8 binary32) #s(literal 4 binary32)) s))
(* u (+ (* 4 s) (* u (+ (* 8 s) (* 64/3 (* s u))))))
(*.f32 (*.f32 u s) (fma.f32 u (fma.f32 u #s(literal 64/3 binary32) #s(literal 8 binary32)) #s(literal 4 binary32)))
(* u (+ (* 4 s) (* u (+ (* 8 s) (* u (+ (* 64/3 s) (* 64 (* s u))))))))
(*.f32 u (*.f32 s (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 64 binary32) #s(literal 64/3 binary32)) #s(literal 8 binary32)) #s(literal 4 binary32))))
(* s (+ (log -1/4) (log (/ 1 u))))
(*.f32 (-.f32 (log.f32 #s(literal -1/4 binary32)) (log.f32 u)) s)
(+ (* 1/4 (/ s u)) (* s (+ (log -1/4) (log (/ 1 u)))))
(*.f32 s (+.f32 (log.f32 #s(literal -1/4 binary32)) (-.f32 (/.f32 #s(literal 1/4 binary32) u) (log.f32 u))))
(+ (* 1/32 (/ s (pow u 2))) (+ (* 1/4 (/ s u)) (* s (+ (log -1/4) (log (/ 1 u))))))
(fma.f32 (-.f32 (log.f32 #s(literal -1/4 binary32)) (log.f32 u)) s (fma.f32 (/.f32 s u) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/32 binary32) u)) #s(literal 0 binary32)))
(+ (* 1/192 (/ s (pow u 3))) (+ (* 1/32 (/ s (pow u 2))) (+ (* 1/4 (/ s u)) (* s (+ (log -1/4) (log (/ 1 u)))))))
(fma.f32 (-.f32 (log.f32 #s(literal -1/4 binary32)) (log.f32 u)) s (/.f32 (fma.f32 #s(literal 1/4 binary32) s (/.f32 (*.f32 s (+.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1/192 binary32) u))) u)) u))
(* s (+ (log 1/4) (log (/ -1 u))))
(fma.f32 (-.f32 (log.f32 #s(literal 1/4 binary32)) (log.f32 (neg.f32 u))) s #s(literal 0 binary32))
(+ (* 1/4 (/ s u)) (* s (+ (log 1/4) (log (/ -1 u)))))
(*.f32 s (+.f32 (/.f32 #s(literal 1/4 binary32) u) (-.f32 (log.f32 #s(literal 1/4 binary32)) (log.f32 (neg.f32 u)))))
(+ (* -1 (/ (+ (* -1/4 s) (* -1/32 (/ s u))) u)) (* s (+ (log 1/4) (log (/ -1 u)))))
(fma.f32 (-.f32 (log.f32 #s(literal 1/4 binary32)) (log.f32 (neg.f32 u))) s (fma.f32 (/.f32 s u) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/32 binary32) u)) #s(literal 0 binary32)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/192 (/ s u)) (* 1/32 s)) u)) (* -1/4 s)) u)) (* s (+ (log 1/4) (log (/ -1 u)))))
(fma.f32 (-.f32 (log.f32 #s(literal 1/4 binary32)) (log.f32 (neg.f32 u))) s (/.f32 (fma.f32 #s(literal 1/4 binary32) s (/.f32 (*.f32 s (+.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1/192 binary32) u))) u)) u))
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* 4 u)
(*.f32 #s(literal 4 binary32) u)

eval132.0ms (4.8%)

Memory
-20.7MiB live, 96.0MiB allocated
Compiler

Compiled 18 631 to 2 785 computations (85.1% saved)

prune182.0ms (6.6%)

Memory
9.7MiB live, 133.2MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New63112643
Fresh000
Picked101
Done000
Total63212644
Accuracy
99.8%
Counts
644 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
88.8%
(*.f32 (*.f32 u s) (fma.f32 u (fma.f32 u #s(literal 64/3 binary32) #s(literal 8 binary32)) #s(literal 4 binary32)))
84.8%
(*.f32 u (*.f32 (fma.f32 u #s(literal 8 binary32) #s(literal 4 binary32)) s))
91.7%
(*.f32 u (*.f32 s (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 64 binary32) #s(literal 64/3 binary32)) #s(literal 8 binary32)) #s(literal 4 binary32))))
67.8%
(*.f32 s (/.f32 (+.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 u (*.f32 u #s(literal 16 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal 3 binary32))) (fma.f32 (neg.f32 (log1p.f32 (*.f32 u (*.f32 u #s(literal 16 binary32))))) (neg.f32 (log1p.f32 (*.f32 u (*.f32 u #s(literal 16 binary32))))) (-.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal 4 binary32) u)) #s(literal 2 binary32)) (*.f32 (neg.f32 (log1p.f32 (*.f32 u (*.f32 u #s(literal 16 binary32))))) (log1p.f32 (*.f32 #s(literal 4 binary32) u)))))))
81.7%
(*.f32 s (-.f32 (log1p.f32 (*.f32 u (fma.f32 u #s(literal 16 binary32) #s(literal 4 binary32)))) (log1p.f32 (*.f32 #s(literal 64 binary32) (*.f32 u (*.f32 u u))))))
91.6%
(*.f32 s (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 64 binary32) #s(literal 64/3 binary32)) #s(literal 8 binary32)) #s(literal 4 binary32))))
89.2%
(*.f32 s (*.f32 u (fma.f32 u (fma.f32 u #s(literal 64/3 binary32) #s(literal 8 binary32)) #s(literal 4 binary32))))
84.8%
(*.f32 s (*.f32 u (fma.f32 u #s(literal 8 binary32) #s(literal 4 binary32))))
72.4%
(*.f32 s (*.f32 #s(literal 4 binary32) u))
63.2%
(*.f32 s (log.f32 (*.f32 (/.f32 (fma.f32 #s(literal 4 binary32) u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 256 binary32) (*.f32 (*.f32 u u) (*.f32 u u))))) (fma.f32 u (*.f32 u #s(literal 16 binary32)) #s(literal 1 binary32)))))
72.0%
(*.f32 #s(literal 4 binary32) (*.f32 u s))
Compiler

Compiled 412 to 248 computations (39.8% saved)

simplify104.0ms (3.8%)

Memory
2.4MiB live, 80.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 u #s(literal 64 binary32) #s(literal 64/3 binary32))
cost-diff0
(fma.f32 u (fma.f32 u #s(literal 64 binary32) #s(literal 64/3 binary32)) #s(literal 8 binary32))
cost-diff0
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal 64 binary32) #s(literal 64/3 binary32)) #s(literal 8 binary32)) #s(literal 4 binary32))
cost-diff0
(*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 64 binary32) #s(literal 64/3 binary32)) #s(literal 8 binary32)) #s(literal 4 binary32)))
cost-diff-64
(*.f32 s (*.f32 u (fma.f32 u (fma.f32 u #s(literal 64/3 binary32) #s(literal 8 binary32)) #s(literal 4 binary32))))
cost-diff0
(fma.f32 u #s(literal 64/3 binary32) #s(literal 8 binary32))
cost-diff0
(fma.f32 u (fma.f32 u #s(literal 64/3 binary32) #s(literal 8 binary32)) #s(literal 4 binary32))
cost-diff0
(*.f32 u (fma.f32 u (fma.f32 u #s(literal 64/3 binary32) #s(literal 8 binary32)) #s(literal 4 binary32)))
cost-diff-64
(*.f32 s (*.f32 u (fma.f32 u #s(literal 8 binary32) #s(literal 4 binary32))))
cost-diff0
(fma.f32 u #s(literal 8 binary32) #s(literal 4 binary32))
cost-diff0
(*.f32 u (fma.f32 u #s(literal 8 binary32) #s(literal 4 binary32)))
cost-diff-32
(*.f32 u s)
cost-diff-32
(*.f32 #s(literal 4 binary32) (*.f32 u s))
cost-diff0
(neg.f32 s)
cost-diff0
(fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))
cost-diff0
(log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32)))
cost-diff0
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
Rules
3 080×accelerator-lowering-fma.f32
3 080×accelerator-lowering-fma.f64
1 058×distribute-lft-in
748×*-lowering-*.f32
748×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036168
1105168
2272168
3544168
41086168
51672168
61956168
72116168
82122168
92122168
02122142
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (log (+ 1 (+ (* u -4) 0))) (neg s)) 0)
(log (+ 1 (+ (* u -4) 0)))
(+ (* u -4) 0)
u
-4
0
(neg s)
s
(* 4 (* u s))
4
(* u s)
u
s
(* s (* u (+ (* u 8) 4)))
s
(* u (+ (* u 8) 4))
u
(+ (* u 8) 4)
8
4
(* s (* u (+ (* u (+ (* u 64/3) 8)) 4)))
s
(* u (+ (* u (+ (* u 64/3) 8)) 4))
u
(+ (* u (+ (* u 64/3) 8)) 4)
(+ (* u 64/3) 8)
64/3
8
4
(* s (* u (+ (* u (+ (* u (+ (* u 64) 64/3)) 8)) 4)))
s
(* u (+ (* u (+ (* u (+ (* u 64) 64/3)) 8)) 4))
u
(+ (* u (+ (* u (+ (* u 64) 64/3)) 8)) 4)
(+ (* u (+ (* u 64) 64/3)) 8)
(+ (* u 64) 64/3)
64
64/3
8
4
Outputs
(+ (* (log (+ 1 (+ (* u -4) 0))) (neg s)) 0)
(fma.f32 (log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))) (neg.f32 s) #s(literal 0 binary32))
(log (+ 1 (+ (* u -4) 0)))
(log1p.f32 (fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32)))
(+ (* u -4) 0)
(fma.f32 u #s(literal -4 binary32) #s(literal 0 binary32))
u
-4
#s(literal -4 binary32)
0
#s(literal 0 binary32)
(neg s)
(neg.f32 s)
s
(* 4 (* u s))
(fma.f32 u (fma.f32 s #s(literal 4 binary32) #s(literal 0 binary32)) #s(literal 0 binary32))
4
#s(literal 4 binary32)
(* u s)
(fma.f32 u s #s(literal 0 binary32))
u
s
(* s (* u (+ (* u 8) 4)))
(fma.f32 (fma.f32 u #s(literal 8 binary32) #s(literal 4 binary32)) (fma.f32 u s #s(literal 0 binary32)) #s(literal 0 binary32))
s
(* u (+ (* u 8) 4))
(*.f32 u (fma.f32 u #s(literal 8 binary32) #s(literal 4 binary32)))
u
(+ (* u 8) 4)
(fma.f32 u #s(literal 8 binary32) #s(literal 4 binary32))
8
#s(literal 8 binary32)
4
#s(literal 4 binary32)
(* s (* u (+ (* u (+ (* u 64/3) 8)) 4)))
(fma.f32 (fma.f32 u (fma.f32 u #s(literal 64/3 binary32) #s(literal 8 binary32)) #s(literal 4 binary32)) (fma.f32 u s #s(literal 0 binary32)) #s(literal 0 binary32))
s
(* u (+ (* u (+ (* u 64/3) 8)) 4))
(*.f32 u (fma.f32 u (fma.f32 u #s(literal 64/3 binary32) #s(literal 8 binary32)) #s(literal 4 binary32)))
u
(+ (* u (+ (* u 64/3) 8)) 4)
(fma.f32 u (fma.f32 u #s(literal 64/3 binary32) #s(literal 8 binary32)) #s(literal 4 binary32))
(+ (* u 64/3) 8)
(fma.f32 u #s(literal 64/3 binary32) #s(literal 8 binary32))
64/3
#s(literal 64/3 binary32)
8
#s(literal 8 binary32)
4
#s(literal 4 binary32)
(* s (* u (+ (* u (+ (* u (+ (* u 64) 64/3)) 8)) 4)))
(fma.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 64 binary32) #s(literal 64/3 binary32)) #s(literal 8 binary32)) #s(literal 4 binary32)) (fma.f32 u s #s(literal 0 binary32)) #s(literal 0 binary32))
s
(* u (+ (* u (+ (* u (+ (* u 64) 64/3)) 8)) 4))
(*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 64 binary32) #s(literal 64/3 binary32)) #s(literal 8 binary32)) #s(literal 4 binary32)))
u
(+ (* u (+ (* u (+ (* u 64) 64/3)) 8)) 4)
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal 64 binary32) #s(literal 64/3 binary32)) #s(literal 8 binary32)) #s(literal 4 binary32))
(+ (* u (+ (* u 64) 64/3)) 8)
(fma.f32 u (fma.f32 u #s(literal 64 binary32) #s(literal 64/3 binary32)) #s(literal 8 binary32))
(+ (* u 64) 64/3)
(fma.f32 u #s(literal 64 binary32) #s(literal 64/3 binary32))
64
#s(literal 64 binary32)
64/3
#s(literal 64/3 binary32)
8
#s(literal 8 binary32)
4
#s(literal 4 binary32)

localize2.0ms (0.1%)

Memory
1.5MiB live, 1.5MiB allocated
Samples
1.0ms0valid
Compiler

Compiled 148 to 36 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-log1p: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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