Rust f32::atanh

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.6%0.4%0%0%0%0
0%0%99.6%0.4%0%0%0%1
0%0%99.6%0.4%0%0%0%2
0%0%49.8%0.4%0%49.8%0%3
50%24.9%24.9%0.4%0%49.8%0%4
75%37.4%12.5%0.4%0%49.8%0%5
87.5%43.6%6.2%0.4%0%49.8%0%6
93.8%46.7%3.1%0.4%0%49.8%0%7
96.9%48.2%1.6%0.4%0%49.8%0%8
98.4%49%0.8%0.4%0%49.8%0%9
99.2%49.4%0.4%0.4%0%49.8%0%10
99.6%49.4%0.2%0.4%0%50%0%11
99.8%49.5%0.1%0.4%0%50%0%12
Compiler

Compiled 4 to 4 computations (0% saved)

sample1.0s (18.8%)

Memory
-0.9MiB live, 678.0MiB allocated
Samples
588.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 327.0ms
ival-atanh: 318.0ms (97.3% of total)
ival-true: 6.0ms (1.8% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain86.0ms (1.5%)

Memory
-0.2MiB live, 196.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
320-32(1.3817988246955792e-6)(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
00-0-#s(literal 1 binary32)
00-0-#s(literal 2 binary32)
00-0-#s(literal 1/2 binary32)
00-0-(-.f32 #s(literal 1 binary32) x)
00-0-(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
00-0-(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
00-0-(*.f32 #s(literal 2 binary32) x)
00-0-x
Confusion
Predicted +Predicted -
+033
-0223
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+0033
-00223
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
38.0ms512×0valid
Compiler

Compiled 127 to 40 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 9.0ms (38.1% of total)
ival-log1p: 6.0ms (25.4% of total)
ival-div: 4.0ms (16.9% of total)
ival-sub: 3.0ms (12.7% of total)
exact: 1.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess19.0ms (0.3%)

Memory
-4.5MiB live, 34.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1107
2147
3177
4217
5287
6357
0910
01510
12410
23110
33710
44410
55810
69610
716310
822110
924910
1026010
1127010
1227010
027010
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) #s(literal 1/2 binary32))
Compiler

Compiled 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
Compiler

Compiled 10 to 9 computations (10% saved)

simplify9.0ms (0.2%)

Memory
21.9MiB live, 21.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 #s(literal 2 binary32) x)
cost-diff0
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
cost-diff0
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01535
12435
23135
33735
44435
55835
69635
716335
822135
924935
1026035
1127035
1227035
027035
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32)))))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)

localize27.0ms (0.5%)

Memory
-28.7MiB live, 52.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f32 #s(literal 2 binary32) x)
accuracy0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
accuracy0.04296875
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
accuracy2.001922654517195
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
Samples
18.0ms256×0valid
Compiler

Compiled 76 to 20 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-log1p: 3.0ms (27.1% of total)
ival-mult: 3.0ms (27.1% of total)
ival-sub: 2.0ms (18.1% of total)
ival-div: 2.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())
#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (log -1) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt -2 (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt -2 (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x))
1.0ms
x
@inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x))
1.0ms
x
@-inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x))

simplify147.0ms (2.6%)

Memory
21.8MiB live, 183.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106404
1312390
2799382
32150380
44030380
56476380
08265358
Stop Event
iter limit
node limit
Counts
48 → 47
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/5 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 5 binary32)) (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (-.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (-.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32)))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (-.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)

rewrite135.0ms (2.4%)

Memory
-5.4MiB live, 187.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01528
15428
240428
3559528
0863628
Stop Event
iter limit
node limit
iter limit
Counts
4 → 162
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)
Outputs
#<batchref>
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eval21.0ms (0.4%)

Memory
11.0MiB live, 50.0MiB allocated
Compiler

Compiled 4 261 to 820 computations (80.8% saved)

prune9.0ms (0.2%)

Memory
-8.7MiB live, 30.5MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2009209
Fresh000
Picked101
Done000
Total2019210
Accuracy
96.8%
Counts
210 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.2%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
11.2%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))))
96.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
66.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
79.2%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
4.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)))))
67.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
7.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
96.7%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
Compiler

Compiled 324 to 218 computations (32.7% saved)

simplify136.0ms (2.4%)

Memory
-2.1MiB live, 155.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))
cost-diff0
(log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
cost-diff64
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))))
cost-diff0
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
cost-diff0
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
cost-diff0
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
cost-diff0
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
cost-diff160
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
cost-diff768
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
cost-diff0
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
cost-diff0
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
cost-diff0
(*.f32 #s(literal 2 binary32) x)
cost-diff0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
cost-diff0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044415
080386
1144386
2311383
3759383
42560383
55630383
08171375
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
x
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
x
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))
(pow.f32 (fma.f32 x x x) #s(literal 2 binary32))
(fma.f32 x x x)
(-.f32 #s(literal 1 binary32) (fma.f32 x x x))
Outputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
x
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x x x))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x x x)))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x x x))
x
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)))
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) x)
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))
(log1p.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))
(/.f32 (*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))))
(*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
x
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))
(pow.f32 (fma.f32 x x x) #s(literal 2 binary32))
(fma.f32 x x x)
(-.f32 #s(literal 1 binary32) (fma.f32 x x x))

localize164.0ms (3%)

Memory
8.4MiB live, 253.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0546875
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))
accuracy0.0625
(pow.f32 (fma.f32 x x x) #s(literal 2 binary32))
accuracy2.8177034875312117
(log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))
accuracy15.614926222991636
(fma.f32 x x x)
accuracy0.01953125
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
accuracy0.0234375
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
accuracy3.0738221127783456
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
accuracy5.534600032869063
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
accuracy0.00390625
(-.f32 #s(literal 1 binary32) (*.f32 x x))
accuracy0.015625
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy3.920059126254705
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
accuracy9.565378591149218
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
accuracy0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
accuracy4.0848539489145255
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))
accuracy29.516275570646044
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
accuracy0
(*.f32 #s(literal 2 binary32) x)
accuracy0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
accuracy1.0461684630163102
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
Samples
123.0ms256×0valid
Compiler

Compiled 812 to 80 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 27.0ms (31.8% of total)
ival-sub: 19.0ms (22.4% of total)
ival-log1p: 18.0ms (21.2% of total)
ival-div: 9.0ms (10.6% of total)
ival-pow: 4.0ms (4.7% of total)
ival-add: 3.0ms (3.5% of total)
ival-pow2: 2.0ms (2.4% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.4%)

Memory
1.4MiB live, 39.6MiB allocated
Counts
23 → 276
Calls
Call 1
Inputs
#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (patch #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) (patch (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (patch (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) (patch (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) (patch (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) #<representation binary32>) () ())
#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 x x)) (patch (-.f32 #s(literal 1 binary32) (*.f32 x x)) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 x x x) (patch (fma.f32 x x x) #<representation binary32>) () ())
#s(alt (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #<representation binary32>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (patch #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (patch #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (patch #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (patch #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) #<representation binary32>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@0
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (/ x (- 1 (* x x))) (- 1 (* x x)) (+ (* (- 1 x) x) 1) (+ (* x x) x) (pow (+ (* x x) x) 2))
3.0ms
x
@inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (/ x (- 1 (* x x))) (- 1 (* x x)) (+ (* (- 1 x) x) 1) (+ (* x x) x) (pow (+ (* x x) x) 2))
3.0ms
x
@-inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (/ x (- 1 (* x x))) (- 1 (* x x)) (+ (* (- 1 x) x) 1) (+ (* x x) x) (pow (+ (* x x) x) 2))

simplify228.0ms (4.1%)

Memory
3.2MiB live, 241.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03442611
110742518
227312446
363542440
083202286
Stop Event
iter limit
node limit
Counts
276 → 269
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 2 x)
(* x (+ 2 (* 2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* 2 x)
(* x (+ 2 (* -2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2))))
(* x (+ 2 (* (pow x 2) (- (* x (- (* -2 x) 2)) 2))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
x
(* x (+ 1 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(+ 1 (* x (+ 1 (* -1 x))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 x)))
(* (pow x 2) (+ 1 (* x (+ 2 x))))
(* (pow x 2) (+ 1 (* x (+ 2 x))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(* -2 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 4 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 4)
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 4 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 4)
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 (pow x 2))))
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal 2 binary32) x) x #s(literal 2 binary32))) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -2 (pow x 2))))
(*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* x (- (* -2 x) 2)) 2))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x #s(literal -2 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x)
x
(* x (+ 1 (pow x 2)))
(+.f32 (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) x)
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow x 2)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(+ 1 (* -1 (pow x 2)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(+ 1 (* -1 (pow x 2)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
1
#s(literal 1 binary32)
(+ 1 x)
(+.f32 #s(literal 1 binary32) x)
(+ 1 (* x (+ 1 (* -1 x))))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(+ 1 (* x (+ 1 (* -1 x))))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
x
(* x (+ 1 x))
(fma.f32 x x x)
(* x (+ 1 x))
(fma.f32 x x x)
(* x (+ 1 x))
(fma.f32 x x x)
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (* 2 x)))
(*.f32 (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 1 binary32)) x) x)
(* (pow x 2) (+ 1 (* x (+ 2 x))))
(*.f32 (*.f32 (fma.f32 (+.f32 #s(literal 2 binary32) x) x #s(literal 1 binary32)) x) x)
(* (pow x 2) (+ 1 (* x (+ 2 x))))
(*.f32 (*.f32 (fma.f32 (+.f32 #s(literal 2 binary32) x) x #s(literal 1 binary32)) x) x)
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32)))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
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#s(literal -2 binary32)
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#s(literal 2 binary32)
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#s(literal -2 binary32)
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(pow x 2)
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#s(literal -2 binary32)
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#s(literal -2 binary32)
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#s(literal 2 binary32)
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(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x))
(* -2 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32))
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* 2 (pow x 2))
(*.f32 (*.f32 #s(literal 2 binary32) x) x)
(* (pow x 2) (+ 2 (* 4 (/ 1 x))))
(fma.f32 #s(literal 4 binary32) x (*.f32 (*.f32 #s(literal 2 binary32) x) x))
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))))
(*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (*.f32 x x))
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x))))
(fma.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal -4 binary32)) x (*.f32 (*.f32 #s(literal 2 binary32) x) x))
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)))
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(* -1 (pow x 2))
(*.f32 (neg.f32 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(* -1 (pow x 2))
(*.f32 (neg.f32 x) x)
(* (pow x 2) (- (/ 1 x) 1))
(-.f32 x (*.f32 x x))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f32 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f32 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f32 x x x)
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(*.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 2 binary32) x))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) x) x))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) x) x))

rewrite234.0ms (4.2%)

Memory
-21.7MiB live, 340.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044332
080267
1317227
22714227
09117227
Stop Event
iter limit
node limit
iter limit
Counts
23 → 785
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
(log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(fma.f32 x x x)
(pow.f32 (fma.f32 x x x) #s(literal 2 binary32))
Outputs
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eval142.0ms (2.6%)

Memory
28.2MiB live, 302.4MiB allocated
Compiler

Compiled 32 503 to 4 091 computations (87.4% saved)

prune39.0ms (0.7%)

Memory
-11.5MiB live, 104.1MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1 173171 190
Fresh314
Picked325
Done000
Total1 179201 199
Accuracy
99.4%
Counts
1 199 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.5%
(*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
8.0%
(*.f32 #s(literal 1/2 binary32) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))))
21.9%
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))))
41.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))))
96.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (neg.f32 x) x #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
96.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
10.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))))
10.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
96.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x #s(approx (- 1 (* x x)) #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
96.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
91.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
91.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
68.2%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
96.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
96.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
67.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
5.6%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x))))
15.6%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
96.7%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
68.6%
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x))
Compiler

Compiled 685 to 494 computations (27.9% saved)

simplify120.0ms (2.2%)

Memory
17.2MiB live, 135.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)
cost-diff0
(log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
cost-diff64
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
cost-diff0
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
cost-diff0
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
cost-diff0
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
cost-diff64
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
cost-diff160
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
cost-diff160
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
cost-diff0
(fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32))
cost-diff0
(pow.f32 x #s(literal 3 binary32))
cost-diff0
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x))
cost-diff0
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
cost-diff0
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
cost-diff0
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))
cost-diff0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058452
094438
1167438
2331435
3663435
41373435
52882435
65117435
08309421
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
#s(literal -10/3 binary32)
(*.f32 x x)
x
#s(literal 2 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32))
#s(literal 4 binary32)
#s(literal -5/3 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
x
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))
#s(literal 2 binary32)
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
#s(literal 1 binary32)
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
#s(literal 2 binary32)
x
(+.f32 (pow.f32 x #s(literal 3 binary32)) x)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
Outputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
(*.f32 #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
(fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32))
#s(literal -10/3 binary32)
(*.f32 x x)
x
#s(literal 2 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32))
#s(literal 4 binary32)
#s(literal -5/3 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 (log1p.f32 (*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(log1p.f32 (*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x))
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)
x
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))
(*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal -2 binary32))
#s(literal 1 binary32)
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal -2 binary32))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)))))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
#s(literal 2 binary32)
x
(+.f32 (pow.f32 x #s(literal 3 binary32)) x)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))))
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)

localize372.0ms (6.7%)

Memory
-195.1MiB live, 228.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
accuracy0.04296875
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
accuracy2.8383961812351792
(log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
accuracy8.225409194894725
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
accuracy0.0234375
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
accuracy0.6073311377965939
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
accuracy2.9889045196379094
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
accuracy5.296027986589014
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
accuracy0.015625
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy20.514949876267263
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
accuracy22.487202035965304
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
accuracy30.988134776965648
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
accuracy0
(pow.f32 x #s(literal 3 binary32))
accuracy0.7409494049410823
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x))
accuracy9.544122352562809
(fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32))
accuracy17.830191916868234
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
accuracy0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
accuracy0.01171875
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
accuracy0.9460648586709711
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))
accuracy23.186358669451707
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
Samples
315.0ms256×0valid
Compiler

Compiled 740 to 92 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 28.0ms (33.4% of total)
const: 18.0ms (21.5% of total)
ival-log1p: 11.0ms (13.1% of total)
ival-div: 9.0ms (10.7% of total)
ival-add: 8.0ms (9.6% of total)
ival-sub: 4.0ms (4.8% of total)
ival-pow: 4.0ms (4.8% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.5%)

Memory
3.9MiB live, 40.7MiB allocated
Counts
26 → 312
Calls
Call 1
Inputs
#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) (patch #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) (patch (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) (patch (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)) #<representation binary32>) () ())
#s(alt (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) (patch (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) #<representation binary32>) () ())
#s(alt (pow.f32 x #s(literal 3 binary32)) (patch (pow.f32 x #s(literal 3 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (patch (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (patch (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) #<representation binary32>) () ())
#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) (patch (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) #<representation binary32>) () ())
#s(alt #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (patch #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #<representation binary32>) () ())
#s(alt (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) (patch (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) #<representation binary32>) () ())
#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (patch (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) #<representation binary32>) () ())) ())
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#s(alt (/ -2 (pow x 3)) (taylor -inf x) (#s(alt (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) (taylor -inf x) (#s(alt (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) (taylor -inf x) (#s(alt (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 3)))) (pow x 3))) (taylor -inf x) (#s(alt (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (+ (* (pow x 3) (+ (* 4 x) -5/3)) x) (pow x 3) (+ (* 4 x) -5/3) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* 2 x) 2) (+ (pow x 3) x)) (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))) (* 1/2 (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3))))))) (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))))) (* (+ (* (- 1 x) x) 1) x) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (/ x (- 1 (* x x))) (+ (* 2 x) 2) (+ (* (- 1 x) x) 1) (/ 2 (- 1 (pow x 3))))
3.0ms
x
@-inf
((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (+ (* (pow x 3) (+ (* 4 x) -5/3)) x) (pow x 3) (+ (* 4 x) -5/3) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* 2 x) 2) (+ (pow x 3) x)) (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))) (* 1/2 (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3))))))) (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))))) (* (+ (* (- 1 x) x) 1) x) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (/ x (- 1 (* x x))) (+ (* 2 x) 2) (+ (* (- 1 x) x) 1) (/ 2 (- 1 (pow x 3))))
3.0ms
x
@0
((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (+ (* (pow x 3) (+ (* 4 x) -5/3)) x) (pow x 3) (+ (* 4 x) -5/3) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* 2 x) 2) (+ (pow x 3) x)) (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))) (* 1/2 (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3))))))) (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))))) (* (+ (* (- 1 x) x) 1) x) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (/ x (- 1 (* x x))) (+ (* 2 x) 2) (+ (* (- 1 x) x) 1) (/ 2 (- 1 (pow x 3))))

simplify268.0ms (4.8%)

Memory
11.6MiB live, 163.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03653028
111362903
230512819
375502808
085582658
Stop Event
iter limit
node limit
Counts
312 → 303
Calls
Call 1
Inputs
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* -10/3 (pow x 2))))
2
(+ 2 (* -10/3 (pow x 2)))
(+ 2 (* -10/3 (pow x 2)))
(+ 2 (* -10/3 (pow x 2)))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
-5/3
(- (* 4 x) 5/3)
(- (* 4 x) 5/3)
(- (* 4 x) 5/3)
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 2 x)
(* x (+ 2 (* 2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
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(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 (* -1 x)))))
(* x (+ 1 (* x (+ 1 (* -1 x)))))
x
(* x (+ 1 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
x
(* x (+ 1 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(+ 1 (* x (+ 1 (* -1 x))))
2
(+ 2 (* 2 (pow x 3)))
(+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))
(+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
(* -10/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3))
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3))
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3))
(* -10/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(* 4 (pow x 4))
(* (pow x 4) (- 4 (* 5/3 (/ 1 x))))
(* (pow x 4) (- (+ 4 (/ 1 (pow x 3))) (* 5/3 (/ 1 x))))
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(pow x 3)
(pow x 3)
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(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
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(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
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(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
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(+ (log -1) (* 2 (/ 1 x)))
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-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(* 2 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 x))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))))
2
(- 2 (* 2 (/ 1 x)))
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(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 x) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)
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(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
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(* x (+ 2 (* 2 (/ 1 x))))
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(/ -2 (pow x 3))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 3))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 3))
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(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(* -10/3 (pow x 3))
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2))))))
(* -10/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(* 4 (pow x 4))
(* (pow x 4) (- 4 (* 5/3 (/ 1 x))))
(* (pow x 4) (+ 4 (* -1 (/ (- 5/3 (/ 1 (pow x 2))) x))))
(* (pow x 4) (+ 4 (* -1 (/ (- 5/3 (/ 1 (pow x 2))) x))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 4 x)
(* -1 (* x (- (* 5/3 (/ 1 x)) 4)))
(* -1 (* x (- (* 5/3 (/ 1 x)) 4)))
(* -1 (* x (- (* 5/3 (/ 1 x)) 4)))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* 2 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 x))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 4) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(/ -2 (pow x 3))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3)))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3)))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 3)))) (pow x 3)))
Outputs
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
2
#s(literal 2 binary32)
(+ 2 (* -10/3 (pow x 2)))
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
(+ 2 (* -10/3 (pow x 2)))
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
(+ 2 (* -10/3 (pow x 2)))
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(pow x 3)
(pow.f32 x #s(literal 3 binary32))
(pow x 3)
(pow.f32 x #s(literal 3 binary32))
(pow x 3)
(pow.f32 x #s(literal 3 binary32))
(pow x 3)
(pow.f32 x #s(literal 3 binary32))
-5/3
#s(literal -5/3 binary32)
(- (* 4 x) 5/3)
(fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32))
(- (* 4 x) 5/3)
(fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32))
(- (* 4 x) 5/3)
(fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 (pow x 2))))
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal 2 binary32) x) x #s(literal 2 binary32))) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 (pow x 2))))
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal 2 binary32) x) x #s(literal 2 binary32))) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
x
(* x (+ 1 x))
(fma.f32 x x x)
(* x (+ 1 (* x (+ 1 (* -1 x)))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)
(* x (+ 1 (* x (+ 1 (* -1 x)))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)
x
(* x (+ 1 (pow x 2)))
(+.f32 (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(fma.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
x
(* x (+ 1 (pow x 2)))
(+.f32 (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(fma.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) x)
2
#s(literal 2 binary32)
(+ 2 (* 2 x))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(+ 2 (* 2 x))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(+ 2 (* 2 x))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 x)
(+.f32 #s(literal 1 binary32) x)
(+ 1 (* x (+ 1 (* -1 x))))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(+ 1 (* x (+ 1 (* -1 x))))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
2
#s(literal 2 binary32)
(+ 2 (* 2 (pow x 3)))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) #s(literal 2 binary32))
(+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))
(fma.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32))
(+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))))
(*.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) #s(literal 2 binary32)))
(* 1/2 (log 3))
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal -4/9 binary32) x) #s(literal -1/3 binary32)) x))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) x)) (/.f32 #s(literal 1/3 binary32) x))
(log 3)
(log.f32 #s(literal 3 binary32))
(- (log 3) (* 2/3 (/ 1 x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x) x) (-.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal 3 binary32))))
(* -10/3 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -10/3 binary32))
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) #s(literal 10/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) #s(literal 10/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) #s(literal 10/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* -10/3 (pow x 2))
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(*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 5/3 binary32) x)) x)
(* -1 (* x (- (* 5/3 (/ 1 x)) 4)))
(*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 5/3 binary32) x)) x)
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)))
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(/.f32 (+.f32 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32))) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32))) x)
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(/.f32 (+.f32 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32))) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32))) x)
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) x) x)) x))
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) x) x)) x))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/5 binary32) (*.f32 x x)) #s(literal -2/3 binary32)) x) x) #s(literal 2 binary32)) x))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)))
(* 2 (pow x 4))
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 2 binary32))
(* (pow x 4) (+ 2 (* 2 (/ 1 x))))
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x)) (pow.f32 x #s(literal 4 binary32)))
2
#s(literal 2 binary32)
(- 2 (* 2 (/ 1 x)))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x))
(* 1/2 (log 3))
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal -4/9 binary32) x) #s(literal -1/3 binary32)) x))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal -5/81 binary32) x) #s(literal 4/9 binary32)) x)) x))
(log 3)
(log.f32 #s(literal 3 binary32))
(- (log 3) (* 2/3 (/ 1 x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x))
(* -1 (pow x 3))
(neg.f32 (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32) #s(literal -1 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) (neg.f32 (pow.f32 x #s(literal 3 binary32))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) (neg.f32 (pow.f32 x #s(literal 3 binary32))))
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32))) (neg.f32 x))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/5 binary32) (*.f32 x x)) #s(literal -2/3 binary32)) x) x) #s(literal 2 binary32)) x))
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) x)
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32))) (neg.f32 x))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(* -1 (pow x 2))
(*.f32 (neg.f32 x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f32 (-.f32 #s(literal 1 binary32) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(*.f32 x (fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x #s(literal 1 binary32)))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(*.f32 x (fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x #s(literal 1 binary32)))
(/ -2 (pow x 3))
(/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3)))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3)))
(/.f32 (+.f32 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 x #s(literal 3 binary32)))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 3)))) (pow x 3)))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))

rewrite300.0ms (5.4%)

Memory
2.2MiB live, 230.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058384
094370
1355370
22586370
08726370
Stop Event
iter limit
node limit
iter limit
Counts
26 → 566
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(pow.f32 x #s(literal 3 binary32))
(fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32))
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
Outputs
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eval250.0ms (4.5%)

Memory
8.9MiB live, 178.8MiB allocated
Compiler

Compiled 21 655 to 3 552 computations (83.6% saved)

prune59.0ms (1.1%)

Memory
-23.7MiB live, 96.3MiB allocated
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New91611927
Fresh11213
Picked235
Done112
Total92027947
Accuracy
99.5%
Counts
947 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.3%
(*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
8.0%
(*.f32 #s(literal 1/2 binary32) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))))
21.9%
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))))
41.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))))
96.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))))
96.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (neg.f32 x) x #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
11.3%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))))
10.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
96.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x #s(approx (- 1 (* x x)) #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
96.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
96.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x)))))
96.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
11.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) x)))))))
3.2%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (/.f32 #s(literal -2 binary32) x)))))
11.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
91.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
91.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
68.3%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
96.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) #s(approx (/ 2 (- 1 (pow x 3))) #s(literal 2 binary32)))))
91.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
96.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
91.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
5.6%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x))))
18.6%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)))
15.7%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
96.7%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
3.9%
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (/.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x))) (*.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x)) (*.f32 x x))) (*.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x)))))
Compiler

Compiled 1 000 to 699 computations (30.1% saved)

simplify169.0ms (3%)

Memory
23.2MiB live, 142.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))
cost-diff0
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
cost-diff0
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
cost-diff0
(*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
cost-diff0
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
cost-diff0
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
cost-diff0
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
cost-diff64
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
cost-diff160
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
cost-diff0
(fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32))
cost-diff0
(*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)
cost-diff0
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))
cost-diff0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)))
cost-diff0
(log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))))
cost-diff64
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))
cost-diff160
(fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058612
094604
1169604
2273598
3426598
4872598
52137598
64444598
08186567
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))
(fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))
(*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32))
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
x
#s(literal 2 binary32)
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)
(fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32))
(*.f32 x #s(literal -10/3 binary32))
x
#s(literal -10/3 binary32)
#s(literal 2 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
x
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))
#s(literal 2 binary32)
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 #s(literal 2 binary32) x)
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
(*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
#s(approx (+ (* 2 x) 2) #s(literal 2 binary32))
#s(literal 2 binary32)
(+.f32 (pow.f32 x #s(literal 3 binary32)) x)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
x
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))
#s(literal 2 binary32)
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(+.f32 (pow.f32 x #s(literal 3 binary32)) x)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))))
(*.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))
(log1p.f32 (*.f32 (fma.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x))
(fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))
(*.f32 (fma.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)
(*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
x
#s(literal 2 binary32)
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal -2 binary32))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)))
(*.f32 #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)
(*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x)
(fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32))
(fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32))
(*.f32 x #s(literal -10/3 binary32))
(*.f32 #s(literal -10/3 binary32) x)
x
#s(literal -10/3 binary32)
#s(literal 2 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 (log1p.f32 (*.f32 (fma.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(log1p.f32 (*.f32 (fma.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x))
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (fma.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)
x
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))
#s(literal 2 binary32)
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal -2 binary32))
(*.f32 #s(literal 2 binary32) x)
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32))))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)))))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32))))
(*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)))
#s(approx (+ (* 2 x) 2) #s(literal 2 binary32))
#s(literal 2 binary32)
(+.f32 (pow.f32 x #s(literal 3 binary32)) x)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
(*.f32 (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
(log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
(fma.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))
x
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))
#s(literal 2 binary32)
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))
(+.f32 (pow.f32 x #s(literal 3 binary32)) x)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)

localize262.0ms (4.7%)

Memory
-26.0MiB live, 252.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.4096055686347096
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
accuracy2.4267681644235086
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
accuracy7.115964052577518
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
accuracy26.993521844837417
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
accuracy0.01953125
(*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
accuracy0.403636477174702
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
accuracy1.6636211993502463
#s(approx (+ (* 2 x) 2) #s(literal 2 binary32))
accuracy1.7727296701225976
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
accuracy0.01171875
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy2.026121001529195
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
accuracy2.5393197023976817
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
accuracy26.993521844837417
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
accuracy0.01171875
(*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)
accuracy0.1953125
(*.f32 x #s(literal -10/3 binary32))
accuracy0.6849153900957373
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))
accuracy3.599326404739581
(fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32))
accuracy0.01171875
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy2.2884518921419277
(log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))
accuracy7.002816639199467
(fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))
accuracy26.993521844837417
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
Samples
125.0ms223×0valid
67.0ms33×5exit
Compiler

Compiled 862 to 90 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-mult: 41.0ms (31.3% of total)
const: 21.0ms (16% of total)
ival-log1p: 18.0ms (13.7% of total)
ival-add: 15.0ms (11.4% of total)
adjust: 14.0ms (10.7% of total)
ival-div: 12.0ms (9.2% of total)
ival-sub: 4.0ms (3.1% of total)
ival-pow: 4.0ms (3.1% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
25 → 300
Calls
Call 1
Inputs
#s(alt (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (patch (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) (patch (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) (patch #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) (patch (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) (patch (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) #<representation binary32>) () ())
#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) (patch (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) (patch (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) #<representation binary32>) () ())
#s(alt (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) (patch (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (patch (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #<representation binary32>) () ())
#s(alt #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (patch #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #<representation binary32>) () ())
#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ())
#s(alt (*.f32 x #s(literal -10/3 binary32)) (patch (*.f32 x #s(literal -10/3 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (patch #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ())
Outputs
#s(alt (* 2 x) (taylor 0 x) (#s(alt (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (patch (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (patch (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (patch (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (patch (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) (patch (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) (patch (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) (patch (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) (patch (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* -5/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) (patch #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* -10/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) (patch #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)) #<representation binary32>) () ())) ())
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#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (patch #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (patch #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (patch #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) (taylor -inf x) (#s(alt #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) (taylor -inf x) (#s(alt #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x x))) 2)) (* (/ x (- 1 (* x x))) 2) (* 1/2 (log (+ 1 (+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x x))) 2))))) (log (+ 1 (+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x x))) 2)))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* (* x -10/3) x) 2) x) (+ (* (* x -10/3) x) 2) (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))) (/ (* 2 x) (- 1 (* x x))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* 2 x) 2) (+ (pow x 3) x)) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 2 (/ x (- 1 (* x x)))) (/ x (- 1 (* x x))) (/ x (- 1 (* x x))) (* x -10/3) (+ (* 2 x) 2) (* 1 (* 2 (/ x (- 1 (* x x))))))
2.0ms
x
@inf
((+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x x))) 2)) (* (/ x (- 1 (* x x))) 2) (* 1/2 (log (+ 1 (+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x x))) 2))))) (log (+ 1 (+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x x))) 2)))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* (* x -10/3) x) 2) x) (+ (* (* x -10/3) x) 2) (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))) (/ (* 2 x) (- 1 (* x x))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* 2 x) 2) (+ (pow x 3) x)) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 2 (/ x (- 1 (* x x)))) (/ x (- 1 (* x x))) (/ x (- 1 (* x x))) (* x -10/3) (+ (* 2 x) 2) (* 1 (* 2 (/ x (- 1 (* x x))))))
2.0ms
x
@0
((+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x x))) 2)) (* (/ x (- 1 (* x x))) 2) (* 1/2 (log (+ 1 (+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x x))) 2))))) (log (+ 1 (+ (* (* (/ x (- 1 (* x x))) 2) x) (* (/ x (- 1 (* x x))) 2)))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* (* x -10/3) x) 2) x) (+ (* (* x -10/3) x) 2) (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))) (/ (* 2 x) (- 1 (* x x))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* 2 x) 2) (+ (pow x 3) x)) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 2 (/ x (- 1 (* x x)))) (/ x (- 1 (* x x))) (/ x (- 1 (* x x))) (* x -10/3) (+ (* 2 x) 2) (* 1 (* 2 (/ x (- 1 (* x x))))))

simplify217.0ms (3.9%)

Memory
-2.7MiB live, 190.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02792990
18522868
221582792
356632732
081722579
Stop Event
iter limit
node limit
Counts
300 → 293
Calls
Call 1
Inputs
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(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
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x
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(* 2 x)
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x
(* x (+ 1 (* -5/3 (pow x 2))))
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2
(+ 2 (* -10/3 (pow x 2)))
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x
(* x (+ 1 (* 1/3 (pow x 2))))
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x
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x
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(* 2 x)
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(* 2 x)
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(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
x
(* x (+ 1 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
x
(* x (+ 1 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
(* -10/3 x)
(* -10/3 x)
(* -10/3 x)
(* -10/3 x)
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (pow x 2))))
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-2
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(* 1/2 (log -1))
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(log -1)
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(* x (+ 2 (* 2 (/ 1 x))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
Outputs
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 (pow x 2))))
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(*.f32 (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x)
2
#s(literal 2 binary32)
(+ 2 (* -10/3 (pow x 2)))
(fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32))
(+ 2 (* -10/3 (pow x 2)))
(fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32))
(+ 2 (* -10/3 (pow x 2)))
(fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 (pow x 2))))
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(*.f32 (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 (pow x 2))))
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(*.f32 (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
x
(* x (+ 1 (pow x 2)))
(+.f32 (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
x
(* x (+ 1 (pow x 2)))
(+.f32 (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
(* -10/3 x)
(*.f32 #s(literal -10/3 binary32) x)
(* -10/3 x)
(*.f32 #s(literal -10/3 binary32) x)
(* -10/3 x)
(*.f32 #s(literal -10/3 binary32) x)
(* -10/3 x)
(*.f32 #s(literal -10/3 binary32) x)
2
#s(literal 2 binary32)
(+ 2 (* 2 x))
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))
(+ 2 (* 2 x))
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))
(+ 2 (* 2 x))
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 (pow x 2))))
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(*.f32 (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)))
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
(/.f32 (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32))) x)
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32)))
(* 1/2 (log 3))
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) x)) (/.f32 #s(literal 1/3 binary32) x))
(log 3)
(log.f32 #s(literal 3 binary32))
(- (log 3) (* 2/3 (/ 1 x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x) x) (-.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal 3 binary32))))
(* -10/3 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -10/3 binary32))
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3))
(*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x)
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3))
(*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x)
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3))
(*.f32 (fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32)) x)
(* -10/3 (pow x 2))
(*.f32 #s(literal -10/3 binary32) (*.f32 x x))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3))
(fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3))
(fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3))
(fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)))
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
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(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)))
(* 2 (pow x 4))
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 2 binary32))
(* (pow x 4) (+ 2 (* 2 (/ 1 x))))
(*.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(*.f32 (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) x)
(* (pow x 4) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))))
(*.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x #s(literal 2 binary32) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32))))
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)))
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(/.f32 (-.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(* -10/3 x)
(*.f32 #s(literal -10/3 binary32) x)
(* -10/3 x)
(*.f32 #s(literal -10/3 binary32) x)
(* -10/3 x)
(*.f32 #s(literal -10/3 binary32) x)
(* -10/3 x)
(*.f32 #s(literal -10/3 binary32) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(/.f32 (-.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32)))) x)

rewrite390.0ms (7%)

Memory
-6.3MiB live, 265.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058490
094482
1369476
22494476
08324465
Stop Event
iter limit
node limit
iter limit
Counts
25 → 425
Calls
Call 1
Inputs
(fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))))
(log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)))
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)
(fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32))
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
(*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 x #s(literal -10/3 binary32))
#s(approx (+ (* 2 x) 2) #s(literal 2 binary32))
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
Outputs
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eval114.0ms (2%)

Memory
-12.9MiB live, 199.7MiB allocated
Compiler

Compiled 17 599 to 2 052 computations (88.3% saved)

prune54.0ms (1%)

Memory
14.4MiB live, 92.4MiB allocated
Pruning

34 alts after pruning (29 fresh and 5 done)

PrunedKeptTotal
New74214756
Fresh31518
Picked325
Done134
Total74934783
Accuracy
99.5%
Counts
783 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.3%
(*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
91.5%
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32))))) #s(literal 1/2 binary32))
7.9%
(*.f32 #s(literal 1/2 binary32) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))))
21.9%
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))))
41.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))))
96.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) x) #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))))
96.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x)))))
11.3%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
11.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x #s(approx (* (/ x (- 1 (* x x))) 2) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
11.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) x #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))))
96.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (neg.f32 x) x #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
11.2%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))))
11.3%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
96.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
96.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
92.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
94.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (/ (* 2 x) (- 1 (* x x))) (*.f32 x #s(literal 2 binary32))))))
3.2%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (/.f32 #s(literal -2 binary32) x)))))
11.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
96.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x #s(approx (* 2 (/ x (- 1 (* x x)))) (*.f32 x #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
91.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
91.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
65.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
96.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) #s(approx (/ 2 (- 1 (pow x 3))) #s(literal 2 binary32)))))
91.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
96.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
91.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32))) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) x)))))
91.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
5.6%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x))))
96.4%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
96.7%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
68.6%
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x))
3.9%
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (/.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x))) (*.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x)) (*.f32 x x))) (*.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x)))))
68.8%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x))
Compiler

Compiled 1 573 to 744 computations (52.7% saved)

regimes207.0ms (3.7%)

Memory
10.1MiB live, 89.8MiB allocated
Accuracy

Total -30.6b remaining (-2924.6%)

Threshold costs -30.6b (-2924.6%)

Counts
52 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x #s(literal -10/3 binary32)) x #s(literal 2 binary32)) x)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x))
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) #s(approx (/ 2 (- 1 (pow x 3))) #s(literal 2 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (/ (* 2 x) (- 1 (* x x))) (*.f32 x #s(literal 2 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (/.f32 #s(literal -2 binary32) x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x #s(approx (* 2 (/ x (- 1 (* x x)))) (*.f32 x #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) x) #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x #s(approx (- 1 (* x x)) #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (neg.f32 x) x #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32))))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(approx (+ (* 2 x) 2) #s(literal 2 binary32))) (*.f32 #s(approx (+ (* 2 x) 2) #s(literal 2 binary32)) x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) x #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x #s(approx (* (/ x (- 1 (* x x))) 2) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) x)))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (/.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x))) (*.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x)) (*.f32 x x))) (*.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) (neg.f32 x)))))
Outputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
Calls

4 calls:

140.0ms
x
37.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
14.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
14.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Results
AccuracySegmentsBranch
96.7%1x
96.7%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
96.7%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
96.7%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify76.0ms (1.4%)

Memory
11.0MiB live, 48.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01216
11716
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
Outputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32))

soundness169.0ms (3%)

Memory
-32.9MiB live, 51.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106404
1312390
2799382
32150380
44030380
56476380
08265358
Stop Event
fuel
iter limit
node limit
Compiler

Compiled 11 to 11 computations (0% saved)

preprocess16.0ms (0.3%)

Memory
30.7MiB live, 30.7MiB allocated
Compiler

Compiled 32 to 30 computations (6.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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