Rust f32::atanh

Time bar (total: 5.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
2.9MiB live, 2.9MiB 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)

sample436.0ms (8%)

Memory
17.1MiB live, 642.4MiB allocated
Samples
310.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-atanh: 150.0ms (95.4% of total)
ival-true: 5.0ms (3.2% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

explain203.0ms (3.7%)

Memory
-5.3MiB live, 194.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
380-38(-0.010908951051533222)(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 -
+039
-0217
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+0039
-00217
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
30.0ms512×0valid
Compiler

Compiled 127 to 40 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (38.1% of total)
ival-div: 4.0ms (21.8% of total)
ival-log1p: 4.0ms (21.8% of total)
ival-sub: 3.0ms (16.3% of total)
exact: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess32.0ms (0.6%)

Memory
-27.4MiB live, 28.4MiB 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
0.3MiB live, 0.3MiB 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
93.1%
(*.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
16.8MiB live, 16.8MiB 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)

localize25.0ms (0.5%)

Memory
6.5MiB live, 42.9MiB 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))))
accuracy0.0625
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
accuracy2.2297930299586195
(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: 12.0ms
ival-div: 5.0ms (42.7% of total)
ival-mult: 3.0ms (25.6% of total)
ival-log1p: 2.0ms (17.1% of total)
ival-sub: 1.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-20.4MiB live, 15.6MiB 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
@inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x))
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))

simplify155.0ms (2.9%)

Memory
12.6MiB live, 168.2MiB 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)

rewrite160.0ms (2.9%)

Memory
-2.3MiB live, 151.9MiB 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
29.4MiB live, 29.4MiB allocated
Compiler

Compiled 4 261 to 820 computations (80.8% saved)

prune47.0ms (0.9%)

Memory
-11.7MiB live, 26.6MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2036209
Fresh000
Picked101
Done000
Total2046210
Accuracy
97.1%
Counts
210 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.3%
(*.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))))))
10.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))))
65.7%
(*.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))))))
75.2%
(*.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)))))
64.8%
(*.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)))))
97.0%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
Compiler

Compiled 238 to 160 computations (32.8% saved)

simplify254.0ms (4.7%)

Memory
-9.8MiB live, 243.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 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 #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))))))
cost-diff32
(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)))))
cost-diff64
(+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)))
cost-diff64
(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))))
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
(*.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 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
052489
094489
1165485
2353485
3901485
42921485
56009485
08225469
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)) (*.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)) (*.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) (-.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))))))
#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)))))
(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)))))
(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))))
(+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)))
#s(literal -1 binary32)
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) x) x)
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
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 -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(/.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)))))
#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)) (*.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 x #s(literal 2 binary32) #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 x #s(literal 2 binary32) #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 x #s(literal 2 binary32) #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 x #s(literal 2 binary32) #s(literal 2 binary32)))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(fma.f32 x #s(literal 2 binary32) #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)) (*.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) (-.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 (-.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) #s(literal 1/2 binary32))
#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 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))
(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 -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))))
(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))))
(fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)))
(fma.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))
(*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) x) x)
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
#s(literal -2 binary32)
#s(literal 4 binary32)
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #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 (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))

localize339.0ms (6.2%)

Memory
9.3MiB live, 353.5MiB allocated
Localize:

Found 19 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)))
accuracy0.1171875
(pow.f32 (fma.f32 x x x) #s(literal 2 binary32))
accuracy3.7257191417138036
(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))))
accuracy16.716796086434027
(fma.f32 x x x)
accuracy0.10746005861065211
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))
accuracy0.24027255861065205
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))
accuracy3.9750801836375853
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
accuracy13.410624273141735
(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)))))
accuracy0.03515625
(/.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))))
accuracy0.06640625
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
accuracy2.797820364053875
(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)))))
accuracy8.956966119455629
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
accuracy0.07421875
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
accuracy0.38921990755931213
#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)))
accuracy3.0073905847668656
(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))))
accuracy10.98867579932339
(fma.f32 #s(literal 2 binary32) 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)))
accuracy0.7917816521981221
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
Samples
276.0ms212×1valid
14.0ms42×0valid
1.0ms0invalid
Compiler

Compiled 934 to 96 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 175.0ms
adjust: 52.0ms (29.8% of total)
ival-mult: 36.0ms (20.6% of total)
ival-div: 18.0ms (10.3% of total)
ival-add: 15.0ms (8.6% of total)
ival-log1p: 13.0ms (7.4% of total)
ival-log: 11.0ms (6.3% of total)
ival-sub: 10.0ms (5.7% of total)
ival-pow: 10.0ms (5.7% of total)
ival-pow2: 6.0ms (3.4% of total)
ival-neg: 2.0ms (1.1% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series28.0ms (0.5%)

Memory
9.4MiB live, 47.2MiB allocated
Counts
26 → 312
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)) (*.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 #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 (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)))) (patch (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)))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))) (patch (+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))) #<representation binary32>) () ())
#s(alt (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))))) (patch (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))))) #<representation binary32>) () ())
#s(alt (*.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)))))) (patch (*.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)))))) #<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 (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 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())
#s(alt (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) (patch (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)) (patch (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 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)) (*.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 (* 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)) (*.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 (* 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)) (*.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 (* 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)) (*.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 (* 2 x) (taylor 0 x) (#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 (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#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 (* 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)) (*.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 (* 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)) (*.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 (* 2 x) (taylor 0 x) (#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 (* x (+ 2 (* 2 x))) (taylor 0 x) (#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 (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#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 (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#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 (* 2 x) (taylor 0 x) (#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>) () ())) ())
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#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#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 (* -1 (pow x 2)) (taylor -inf x) (#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 (* (pow x 2) (- (/ 1 x) 1)) (taylor -inf x) (#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 (* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) (taylor -inf x) (#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 (* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) (taylor -inf x) (#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 (log 3) (taylor -inf x) (#s(alt (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log 3) (* 2/3 (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x)))) (taylor -inf x) (#s(alt (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x))) (taylor -inf x) (#s(alt (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) (patch (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) (patch (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) (taylor -inf x) (#s(alt (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) (patch (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 2) x))) (taylor -inf x) (#s(alt (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) (patch (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #<representation binary32>) () ())) ())
#s(alt 4 (taylor -inf x) (#s(alt (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)) (patch (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 4 (* 8 (/ 1 x))) (taylor -inf x) (#s(alt (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)) (patch (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2)))) (taylor -inf x) (#s(alt (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)) (patch (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 4 (* -1 (/ (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) x)) 8) x))) (taylor -inf x) (#s(alt (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)) (patch (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f32 x x x) (patch (fma.f32 x x x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f32 x x x) (patch (fma.f32 x x x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f32 x x x) (patch (fma.f32 x x x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f32 x x x) (patch (fma.f32 x x x) #<representation binary32>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#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>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#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>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#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>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#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>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
6.0ms
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)) (* (+ (* 2 x) 2) (+ (pow x 3) 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)) (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4))) (+ -1 (* (pow (/ (- 1 x) x) -2) 4)) (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (* 1/2 (- (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (log (+ 1 (* -2 (/ x (- 1 x))))))) (* (* 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))) (+ (* 2 x) 2) (+ (* (- 1 x) x) 1) (log (+ 1 (* -2 (/ x (- 1 x))))) (pow (/ (- 1 x) x) -2) (* (pow (/ (- 1 x) x) -2) 4) (+ (* x x) x) (pow (+ (* x x) x) 2))
5.0ms
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)) (* (+ (* 2 x) 2) (+ (pow x 3) 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)) (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4))) (+ -1 (* (pow (/ (- 1 x) x) -2) 4)) (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (* 1/2 (- (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (log (+ 1 (* -2 (/ x (- 1 x))))))) (* (* 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))) (+ (* 2 x) 2) (+ (* (- 1 x) x) 1) (log (+ 1 (* -2 (/ x (- 1 x))))) (pow (/ (- 1 x) x) -2) (* (pow (/ (- 1 x) x) -2) 4) (+ (* x x) x) (pow (+ (* x x) x) 2))
4.0ms
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)) (* (+ (* 2 x) 2) (+ (pow x 3) 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)) (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4))) (+ -1 (* (pow (/ (- 1 x) x) -2) 4)) (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (* 1/2 (- (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (log (+ 1 (* -2 (/ x (- 1 x))))))) (* (* 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))) (+ (* 2 x) 2) (+ (* (- 1 x) x) 1) (log (+ 1 (* -2 (/ x (- 1 x))))) (pow (/ (- 1 x) x) -2) (* (pow (/ (- 1 x) x) -2) 4) (+ (* x x) x) (pow (+ (* x x) x) 2))

simplify254.0ms (4.7%)

Memory
-15.6MiB live, 223.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04562912
113752828
234142774
374302770
083602584
Stop Event
iter limit
node limit
Counts
312 → 306
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)))))))
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)))))
1
(+ 1 (* -4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -8 x) 4)))
(+ 1 (* (pow x 2) (- (* x (- (* -12 x) 8)) 4)))
-1
(- (* 4 (pow x 2)) 1)
(- (* (pow x 2) (+ 4 (* 8 x))) 1)
(- (* (pow x 2) (+ 4 (* x (+ 8 (* 12 x))))) 1)
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
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 (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)))))))
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(+ 1 (* x (+ 1 (* -1 x))))
(* -2 x)
(* x (- (* -4 x) 2))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 x)))
(* (pow x 2) (+ 1 (* x (+ 2 (* 3 x)))))
(* (pow x 2) (+ 1 (* x (+ 2 (* x (+ 3 (* 4 x)))))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 8 x)))
(* (pow x 2) (+ 4 (* x (+ 8 (* 12 x)))))
(* (pow x 2) (+ 4 (* x (+ 8 (* x (+ 12 (* 16 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 (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))))))
(* 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))
-3
(* -1 (+ 3 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 3 (* 8 (/ 1 x))))
3
(+ 3 (* 8 (/ 1 x)))
(+ 3 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+ 3 (+ (* 8 (/ 1 x)) (+ (* 16 (/ 1 (pow x 3))) (/ 12 (pow x 2)))))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 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))))
(* 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))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 3 (pow x 2)))))
4
(+ 4 (* 8 (/ 1 x)))
(+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+ 4 (+ (* 8 (/ 1 x)) (+ (* 16 (/ 1 (pow x 3))) (/ 12 (pow x 2)))))
(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 (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))))
(* 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)))))
-3
(* -1 (+ 3 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 3)
3
(+ 3 (* 8 (/ 1 x)))
(+ 3 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+ 3 (* -1 (/ (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) x)) 8) x)))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 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 -3) (log 3))))
(* 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)
(* 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))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 2) x)))
4
(+ 4 (* 8 (/ 1 x)))
(+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+ 4 (* -1 (/ (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) x)) 8) x)))
(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)
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)
1
#s(literal 1 binary32)
(+ 1 (* -4 (pow x 2)))
(fma.f32 #s(literal -4 binary32) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (- (* -8 x) 4)))
(fma.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (- (* x (- (* -12 x) 8)) 4)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -12 binary32) x #s(literal -8 binary32)) x #s(literal -4 binary32)) (*.f32 x x) #s(literal 1 binary32))
-1
#s(literal -1 binary32)
(- (* 4 (pow x 2)) 1)
(fma.f32 (*.f32 #s(literal 4 binary32) x) x #s(literal -1 binary32))
(- (* (pow x 2) (+ 4 (* 8 x))) 1)
(fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal 4 binary32)) (*.f32 x x) #s(literal -1 binary32))
(- (* (pow x 2) (+ 4 (* x (+ 8 (* 12 x))))) 1)
(fma.f32 (fma.f32 (fma.f32 #s(literal 12 binary32) x #s(literal 8 binary32)) x #s(literal 4 binary32)) (*.f32 x x) #s(literal -1 binary32))
(* -4 (pow x 2))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
(* (pow x 2) (- (* -8 x) 4))
(*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -20 binary32) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -48 binary32) x #s(literal -20 binary32)) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) 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 (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)
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 x)
(*.f32 #s(literal -2 binary32) x)
(* x (- (* -4 x) 2))
(*.f32 (fma.f32 #s(literal -4 binary32) x #s(literal -2 binary32)) x)
(* x (- (* x (- (* -26/3 x) 4)) 2))
(*.f32 (fma.f32 (fma.f32 #s(literal -26/3 binary32) x #s(literal -4 binary32)) x #s(literal -2 binary32)) x)
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -20 binary32) x #s(literal -26/3 binary32)) x #s(literal -4 binary32)) x #s(literal -2 binary32)) 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 (* 3 x)))))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) x #s(literal 2 binary32)) x #s(literal 1 binary32)) x) x)
(* (pow x 2) (+ 1 (* x (+ 2 (* x (+ 3 (* 4 x)))))))
(*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal 3 binary32)) x #s(literal 2 binary32)) x #s(literal 1 binary32)) x) x)
(* 4 (pow x 2))
(*.f32 (*.f32 #s(literal 4 binary32) x) x)
(* (pow x 2) (+ 4 (* 8 x)))
(*.f32 (*.f32 (fma.f32 #s(literal 8 binary32) x #s(literal 4 binary32)) x) x)
(* (pow x 2) (+ 4 (* x (+ 8 (* 12 x)))))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 12 binary32) x #s(literal 8 binary32)) x #s(literal 4 binary32)) x) x)
(* (pow x 2) (+ 4 (* x (+ 8 (* x (+ 12 (* 16 x)))))))
(*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) x #s(literal 12 binary32)) x #s(literal 8 binary32)) x #s(literal 4 binary32)) x) x)
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)))
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(log -1)
(log.f32 #s(literal -1 binary32))
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#s(literal -2 binary32)
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(* 1/2 (log 3))
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(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))
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#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)))
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#s(literal -3 binary32)
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#s(literal 3 binary32)
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#s(literal -2 binary32)
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(* 2 x)
(*.f32 #s(literal 2 binary32) x)
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#s(literal 1 binary32)
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#s(literal 4 binary32)
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(pow x 2)
(*.f32 x x)
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(* (pow x 2) (+ 1 (/ 1 x)))
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(pow x 4)
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(* 1/2 (log -1))
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#s(literal -2 binary32)
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(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
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(+ (* -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))
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))
(* -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 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x)
(* -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)))
-3
#s(literal -3 binary32)
(* -1 (+ 3 (* 8 (/ 1 x))))
(-.f32 #s(literal -3 binary32) (/.f32 #s(literal 8 binary32) x))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3)
(-.f32 #s(literal -3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 12 binary32) x) #s(literal 8 binary32)) x))
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 3)
(-.f32 #s(literal -3 binary32) (/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 16 binary32) x) x) #s(literal 8 binary32)) (/.f32 #s(literal 12 binary32) x)) x))
3
#s(literal 3 binary32)
(+ 3 (* 8 (/ 1 x)))
(+.f32 (/.f32 #s(literal 8 binary32) x) #s(literal 3 binary32))
(+ 3 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+.f32 (+.f32 (/.f32 (/.f32 #s(literal 12 binary32) x) x) #s(literal 3 binary32)) (/.f32 #s(literal 8 binary32) x))
(+ 3 (* -1 (/ (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) x)) 8) x)))
(-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal -8 binary32) (/.f32 (+.f32 (/.f32 #s(literal 16 binary32) x) #s(literal 12 binary32)) x)) x))
(log -3)
(log.f32 #s(literal -3 binary32))
(+ (log -3) (* 8/3 (/ 1 x)))
(+.f32 (/.f32 #s(literal 8/3 binary32) x) (log.f32 #s(literal -3 binary32)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 8/3 binary32) x) (/.f32 (/.f32 #s(literal 4/9 binary32) x) x)) (log.f32 #s(literal -3 binary32)))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(-.f32 (log.f32 #s(literal -3 binary32)) (/.f32 (-.f32 #s(literal -8/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 80/81 binary32) x) #s(literal 4/9 binary32)) x)) x))
(* 1/2 (- (log -3) (log 3)))
(*.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) #s(literal 1/2 binary32))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(fma.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 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 -3) (log 3))))
(fma.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 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))
(* 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))))
(*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) 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 (/.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 (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) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) x) #s(literal 2 binary32))
(* 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)))
(log 3)
(log.f32 #s(literal 3 binary32))
(+ (log 3) (* 2/3 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal 3 binary32)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) x) (/.f32 (/.f32 #s(literal 4/9 binary32) x) x)) (log.f32 #s(literal 3 binary32)))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 26/81 binary32) x) #s(literal 4/9 binary32)) x)) x))
1
#s(literal 1 binary32)
(+ 1 (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 1 binary32))
(+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2))))
(+.f32 (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 2) x)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4 binary32) x) #s(literal 3 binary32)) x)) x))
4
#s(literal 4 binary32)
(+ 4 (* 8 (/ 1 x)))
(+.f32 (/.f32 #s(literal 8 binary32) x) #s(literal 4 binary32))
(+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+.f32 (+.f32 (/.f32 (/.f32 #s(literal 12 binary32) x) x) #s(literal 4 binary32)) (/.f32 #s(literal 8 binary32) x))
(+ 4 (* -1 (/ (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) x)) 8) x)))
(-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal -8 binary32) (/.f32 (+.f32 (/.f32 #s(literal 16 binary32) x) #s(literal 12 binary32)) x)) x))
(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 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) x)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) x)) (pow.f32 x #s(literal 4 binary32)))

rewrite184.0ms (3.4%)

Memory
8.5MiB live, 244.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052364
094378
1368290
23145290
08829286
Stop Event
iter limit
node limit
iter limit
Counts
26 → 797
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)) (*.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 #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)))
(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))))
(+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32)))
(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)))))
(*.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 (*.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)))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))
(fma.f32 x x x)
(pow.f32 (fma.f32 x x x) #s(literal 2 binary32))
Outputs
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eval177.0ms (3.3%)

Memory
7.5MiB live, 285.9MiB allocated
Compiler

Compiled 34 734 to 5 249 computations (84.9% saved)

prune48.0ms (0.9%)

Memory
21.2MiB live, 60.5MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1 151121 163
Fresh101
Picked235
Done000
Total1 154151 169
Accuracy
97.6%
Counts
1 169 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.1%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 3 binary32))) (log.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32))))))
0.7%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
89.3%
(*.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))))))
89.3%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
93.1%
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
17.6%
(*.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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
91.0%
(*.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))))))
90.9%
(*.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))))))
11.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x)))))
67.0%
(*.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)))))))
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) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))
10.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (fma.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (*.f32 x #s(literal 2 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))))
39.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (/.f32 (neg.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) (*.f32 x x)))) (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
66.6%
(*.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)))))
97.0%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
Compiler

Compiled 584 to 407 computations (30.3% saved)

simplify215.0ms (4%)

Memory
-28.3MiB live, 65.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x)))))
cost-diff3328
(fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x)))
cost-diff0
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x)))))
cost-diff64
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32))
cost-diff544
(/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x)))
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
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
cost-diff0
(/.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))))
cost-diff0
(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)))))
cost-diff0
(*.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))))))
cost-diff0
(*.f32 #s(literal -4 binary32) (*.f32 x x))
cost-diff0
#s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x)))
cost-diff0
(-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059619
0104583
1185579
2453579
31445579
44966579
08131556
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
#s(literal 1/2 binary32)
(-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
#s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x)))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
#s(literal -4 binary32)
(*.f32 x x)
x
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
#s(literal -2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(*.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))))))
#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(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))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 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 1/2 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)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x)))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x)))
#s(literal 1 binary32)
(/.f32 (-.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)) #s(literal 2 binary32)) x))
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) x)
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #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 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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x)))))
(*.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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))
(fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x)))
(fma.f32 x x x)
(*.f32 (fma.f32 x x x) (*.f32 x x))
(*.f32 x x)
(-.f32 #s(literal 1 binary32) (fma.f32 x x x))
Outputs
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(*.f32 (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))
#s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x)))
#s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32)))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
(*.f32 (*.f32 x x) #s(literal -4 binary32))
#s(literal -4 binary32)
(*.f32 x x)
x
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))
#s(literal -2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(*.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 (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))))) #s(literal 1/2 binary32))
#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(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))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 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 1/2 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 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(log1p.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (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 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(*.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)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x)))))
(*.f32 (log1p.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x))))
(log1p.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x)))
(*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
#s(literal 1 binary32)
(/.f32 (-.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)) #s(literal 2 binary32)) x))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) x)
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32))
(fma.f32 (fma.f32 #s(literal -2 binary32) x #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 1 binary32) 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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
(*.f32 (log1p.f32 (*.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) (fma.f32 (*.f32 (fma.f32 x x x) (fma.f32 x x x)) #s(literal -2 binary32) #s(literal 2 binary32)))) #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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))
(log1p.f32 (*.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) (fma.f32 (*.f32 (fma.f32 x x x) (fma.f32 x x x)) #s(literal -2 binary32) #s(literal 2 binary32))))
(/.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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))
(*.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) (fma.f32 (*.f32 (fma.f32 x x x) (fma.f32 x x x)) #s(literal -2 binary32) #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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x)))))
(*.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 x x x) (fma.f32 x x x)) #s(literal -2 binary32) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(*.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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 x x x) (fma.f32 x x x)))
(fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x)))
(*.f32 (fma.f32 x x x) (fma.f32 x x x))
(fma.f32 x x x)
(*.f32 (fma.f32 x x x) (*.f32 x x))
(*.f32 (-.f32 x #s(literal -1 binary32)) (pow.f32 x #s(literal 3 binary32)))
(*.f32 x x)
(-.f32 #s(literal 1 binary32) (fma.f32 x x x))

localize651.0ms (12%)

Memory
7.9MiB live, 364.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.11556625976844202
(*.f32 (fma.f32 x x x) (*.f32 x x))
accuracy10.970971985004436
(fma.f32 x x x)
accuracy15.259556323505715
(fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x)))
accuracy18.344427432263437
(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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))
accuracy0.06640625
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) x)
accuracy0.23466607499737008
(/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x)))
accuracy2.8440514499934677
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x))))
accuracy11.179304067826878
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
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)))))
accuracy0.06640625
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)
accuracy2.923618831831916
(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))))))
accuracy8.349791418018759
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
accuracy0
(*.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))))))
accuracy0.03515625
(/.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))))
accuracy2.0600113952405112
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
accuracy2.2568162524046076
(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)))))
accuracy0.0625
(/.f32 x (-.f32 #s(literal 1 binary32) x))
accuracy0.10746005861065211
(*.f32 #s(literal -4 binary32) (*.f32 x x))
accuracy2.2403324940583493
#s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x)))
accuracy2.4438318732812885
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
Samples
384.0ms212×1valid
82.0ms42×0valid
1.0ms0invalid
Compiler

Compiled 1 189 to 104 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 366.0ms
ival-mult: 102.0ms (27.8% of total)
ival-log: 86.0ms (23.5% of total)
ival-div: 67.0ms (18.3% of total)
ival-sub: 56.0ms (15.3% of total)
adjust: 19.0ms (5.2% of total)
ival-log1p: 15.0ms (4.1% of total)
ival-pow: 10.0ms (2.7% of total)
ival-add: 8.0ms (2.2% of total)
ival-neg: 2.0ms (0.5% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series37.0ms (0.7%)

Memory
-4.5MiB live, 34.9MiB allocated
Counts
26 → 312
Calls
Call 1
Inputs
#s(alt (*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) #<representation binary32>) () ())
#s(alt (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (patch (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())
#s(alt #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (patch #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal -4 binary32) (*.f32 x x)) (patch (*.f32 #s(literal -4 binary32) (*.f32 x x)) #<representation binary32>) () ())
#s(alt (*.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)))))) (patch (*.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)))))) #<representation binary32>) () ())
#s(alt (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))))) (patch (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))))) #<representation binary32>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<representation binary32>) () ())
#s(alt #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 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 (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x))) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x)))) (patch (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x)))) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))) (patch (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))) #<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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) #<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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) #<representation binary32>) () ())
#s(alt (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())
#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 x (-.f32 #s(literal 1 binary32) 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 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) x) (patch (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) x) #<representation binary32>) () ())
#s(alt (fma.f32 x x x) (patch (fma.f32 x x x) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 x x x) (*.f32 x x)) (patch (*.f32 (fma.f32 x x x) (*.f32 x x)) #<representation binary32>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 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) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 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) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 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) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (patch (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (patch (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 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 (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (patch (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 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 (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (patch (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (patch #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* -8 x) 4)) (taylor 0 x) (#s(alt #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (patch #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* x (- (* -20 x) 8)) 4)) (taylor 0 x) (#s(alt #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (patch #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4)) (taylor 0 x) (#s(alt #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (patch #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor 0 x) (#s(alt (*.f32 #s(literal -4 binary32) (*.f32 x x)) (patch (*.f32 #s(literal -4 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor 0 x) (#s(alt (*.f32 #s(literal -4 binary32) (*.f32 x x)) (patch (*.f32 #s(literal -4 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor 0 x) (#s(alt (*.f32 #s(literal -4 binary32) (*.f32 x x)) (patch (*.f32 #s(literal -4 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor 0 x) (#s(alt (*.f32 #s(literal -4 binary32) (*.f32 x x)) (patch (*.f32 #s(literal -4 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.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)))))) (patch (*.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)))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* -5/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.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)))))) (patch (*.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)))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) (taylor 0 x) (#s(alt (*.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)))))) (patch (*.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)))))) #<representation binary32>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
18.0ms
x
@inf
((* 1/2 (- (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (log (+ 1 (* -2 (/ x (- 1 x))))))) (- (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (log (+ 1 (* -2 (/ x (- 1 x)))))) (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (* -4 (* 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)) (* (* (+ (* (- 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) (/ 1 (/ (- 1 (pow x 3)) (* (* (+ (* (- 1 x) x) 1) 2) x))) (* (+ (* (- 1 x) x) 1) 2) (* 1/2 (log (+ 1 (/ 1 (/ (- 1 (pow x 3)) (* (* (+ (* (- 1 x) x) 1) 2) x)))))) (log (+ 1 (/ 1 (/ (- 1 (pow x 3)) (* (* (+ (* (- 1 x) x) 1) 2) x))))) (+ (* (+ (* x x) x) x) (* (+ (* x x) x) (* x x))) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (+ (* (+ (* x x) x) x) (* (+ (* x x) x) (* x x))))) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (+ (* (+ (* x x) x) x) (* (+ (* x x) x) (* x x))))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (+ (* (+ (* x x) x) x) (* (+ (* x x) x) (* x x))))) (- 1 (+ (* x x) x))))) (log (+ 1 (* -2 (/ x (- 1 x))))) (/ x (- 1 x)) (+ (* (- 1 x) x) 1) (* (* (+ (* (- 1 x) x) 1) 2) x) (+ (* x x) x) (* (+ (* x x) x) (* x x)))
2.0ms
x
@-inf
((* 1/2 (- (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (log (+ 1 (* -2 (/ x (- 1 x))))))) (- (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (log (+ 1 (* -2 (/ x (- 1 x)))))) (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (* -4 (* 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)) (* (* (+ (* (- 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) (/ 1 (/ (- 1 (pow x 3)) (* (* (+ (* (- 1 x) x) 1) 2) x))) (* (+ (* (- 1 x) x) 1) 2) (* 1/2 (log (+ 1 (/ 1 (/ (- 1 (pow x 3)) (* (* (+ (* (- 1 x) x) 1) 2) x)))))) (log (+ 1 (/ 1 (/ (- 1 (pow x 3)) (* (* (+ (* (- 1 x) x) 1) 2) x))))) (+ (* (+ (* x x) x) x) (* (+ (* x x) x) (* x x))) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (+ (* (+ (* x x) x) x) (* (+ (* x x) x) (* x x))))) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (+ (* (+ (* x x) x) x) (* (+ (* x x) x) (* x x))))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (+ (* (+ (* x x) x) x) (* (+ (* x x) x) (* x x))))) (- 1 (+ (* x x) x))))) (log (+ 1 (* -2 (/ x (- 1 x))))) (/ x (- 1 x)) (+ (* (- 1 x) x) 1) (* (* (+ (* (- 1 x) x) 1) 2) x) (+ (* x x) x) (* (+ (* x x) x) (* x x)))
2.0ms
x
@0
((* 1/2 (- (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (log (+ 1 (* -2 (/ x (- 1 x))))))) (- (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (log (+ 1 (* -2 (/ x (- 1 x)))))) (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (* -4 (* 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)) (* (* (+ (* (- 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) (/ 1 (/ (- 1 (pow x 3)) (* (* (+ (* (- 1 x) x) 1) 2) x))) (* (+ (* (- 1 x) x) 1) 2) (* 1/2 (log (+ 1 (/ 1 (/ (- 1 (pow x 3)) (* (* (+ (* (- 1 x) x) 1) 2) x)))))) (log (+ 1 (/ 1 (/ (- 1 (pow x 3)) (* (* (+ (* (- 1 x) x) 1) 2) x))))) (+ (* (+ (* x x) x) x) (* (+ (* x x) x) (* x x))) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (+ (* (+ (* x x) x) x) (* (+ (* x x) x) (* x x))))) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (+ (* (+ (* x x) x) x) (* (+ (* x x) x) (* x x))))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (+ (* (+ (* x x) x) x) (* (+ (* x x) x) (* x x))))) (- 1 (+ (* x x) x))))) (log (+ 1 (* -2 (/ x (- 1 x))))) (/ x (- 1 x)) (+ (* (- 1 x) x) 1) (* (* (+ (* (- 1 x) x) 1) 2) x) (+ (* x x) x) (* (+ (* x x) x) (* x x)))

simplify211.0ms (3.9%)

Memory
-1.8MiB live, 150.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03792902
111302811
228642744
364292730
083342552
Stop Event
iter limit
node limit
Counts
312 → 304
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))))))))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (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 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)))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* -2 x))))
(+ 2 (* x (+ 2 (* -2 x))))
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))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 x)))
(* (pow x 2) (+ 1 (* x (+ 2 x))))
(* (pow x 2) (+ 1 (* x (+ 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 (- (* -4 x) 2))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(+ 1 (* x (+ 1 (* -1 x))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 x))
(* (pow x 3) (+ 1 x))
(* (pow x 3) (+ 1 x))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* 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
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(* 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))))
(* -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))
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 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 2))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* 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))))
(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)))))
(* 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))))))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 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))
(* (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))
(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 (/ 1 x)))
(* (pow x 4) (+ 1 (/ 1 x)))
(* (pow x 4) (+ 1 (/ 1 x)))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 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 -3) (log 3))))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* 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
(- 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)))))
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 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 2))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* 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)))
(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)))))
(* 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)))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 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))
(* -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)))))
(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 (/ 1 x)))
(* (pow x 4) (+ 1 (/ 1 x)))
(* (pow x 4) (+ 1 (/ 1 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 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)
(* -4 (pow x 2))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
(* (pow x 2) (- (* -8 x) 4))
(*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -20 binary32) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -48 binary32) x #s(literal -20 binary32)) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) x)
(* -4 (pow x 2))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
(* -4 (pow x 2))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
(* -4 (pow x 2))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
(* -4 (pow x 2))
(*.f32 #s(literal -4 binary32) (*.f32 x 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 x)))
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(-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) x))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) x)) x) #s(literal 1 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))
(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))
(* -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)))
(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 (/ 1 x)))
(*.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) x))
(* (pow x 4) (+ 1 (/ 1 x)))
(*.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) x))
(* (pow x 4) (+ 1 (/ 1 x)))
(*.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) x))

rewrite309.0ms (5.7%)

Memory
-7.8MiB live, 230.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059437
0104432
1385359
23242359
010953353
Stop Event
iter limit
node limit
iter limit
Counts
26 → 476
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
#s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x)))
(*.f32 #s(literal -4 binary32) (*.f32 x 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))))))
(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(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))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 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)
(/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x)))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x)))))
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x))))
(fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x 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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) x)
(fma.f32 x x x)
(*.f32 (fma.f32 x x x) (*.f32 x x))
Outputs
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eval133.0ms (2.4%)

Memory
32.1MiB live, 220.7MiB allocated
Compiler

Compiled 24 553 to 3 386 computations (86.2% saved)

prune33.0ms (0.6%)

Memory
0.0MiB live, 87.0MiB allocated
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New88211893
Fresh257
Picked235
Done123
Total88721908
Accuracy
97.7%
Counts
908 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.9%
(*.f32 (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))))) #s(literal 1/2 binary32))
8.1%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 3 binary32))) (log.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32))))))
0.7%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32)))))
0.7%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
92.8%
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
92.8%
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
3.3%
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) #s(approx (log (+ 1 (* -2 (/ x (- 1 x))))) (+.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal 3 binary32))))))
17.3%
(*.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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
90.9%
(*.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))))))
67.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
90.9%
(*.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))))))
90.3%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))))
90.9%
(*.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)))))))
90.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
97.0%
(*.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))))
10.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (fma.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (*.f32 x #s(literal 2 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))))
40.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (/.f32 (neg.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) (*.f32 x x)))) (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
65.9%
(*.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)))))
77.3%
(*.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)))
97.0%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
62.4%
#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))
Compiler

Compiled 652 to 490 computations (24.8% saved)

simplify140.0ms (2.6%)

Memory
-4.9MiB live, 167.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
cost-diff64
(-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))
cost-diff64
(-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))
cost-diff0
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
cost-diff0
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))))
cost-diff544
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))
cost-diff0
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
cost-diff0
(/.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))))
cost-diff0
(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)))))
cost-diff0
(*.f32 (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))))) #s(literal 1/2 binary32))
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)))
cost-diff0
(*.f32 (*.f32 x x) #s(literal -4 binary32))
cost-diff0
#s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32)))
cost-diff0
(-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063547
0100547
1167544
2306538
3541538
41386538
54528538
08094496
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
#s(literal 1/2 binary32)
(-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
#s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32)))
(*.f32 (*.f32 x x) #s(literal -4 binary32))
(*.f32 x x)
x
#s(literal -4 binary32)
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
#s(literal -2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(*.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)
(*.f32 (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))))) #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(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))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 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)
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))
#s(literal 1 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x))
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)
#s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
#s(literal 1/2 binary32)
(-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32)))
(-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))
#s(literal 4 binary32)
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) x) x)
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
#s(literal -2 binary32)
(log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
#s(literal 2 binary32)
Outputs
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #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) (-.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x)))))
#s(literal 1/2 binary32)
(-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))
#s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32)))
#s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x)))
(*.f32 (*.f32 x x) #s(literal -4 binary32))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
(*.f32 x x)
x
#s(literal -4 binary32)
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))
#s(literal -2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(*.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 #s(literal -10/3 binary32) (*.f32 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 #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)
(*.f32 (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))))) #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(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))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 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)
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))))
(*.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x))))
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)))
#s(literal 1 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x) #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)
#s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(*.f32 #s(literal -1/2 binary32) (-.f32 (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -1 binary32))) (log.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32) #s(literal -1 binary32)))))
#s(literal 1/2 binary32)
(-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (log.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32) #s(literal -1 binary32))) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -1 binary32))))
(log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32)))
(log.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32) #s(literal -1 binary32)))
(-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32) #s(literal -1 binary32))
(*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))
#s(literal 4 binary32)
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) x) x)
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
#s(literal -2 binary32)
(log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -1 binary32)))
(-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -1 binary32))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
#s(literal 2 binary32)

localize250.0ms (4.6%)

Memory
-27.3MiB live, 244.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))
accuracy0
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
accuracy0
(log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))
accuracy0
(log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32)))
accuracy0
(*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)
accuracy0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))))
accuracy0
#s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32))
accuracy1.6547016422450649
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x))))
accuracy0
(*.f32 (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))))) #s(literal 1/2 binary32))
accuracy0
(*.f32 #s(literal 2 binary32) x)
accuracy0
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
accuracy2.8374516943604484
(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)))))
accuracy0
(*.f32 x 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
#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))
accuracy8.674854173586771
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
accuracy0
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
accuracy0
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
accuracy0
#s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32)))
accuracy4.1061707855859675
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
Samples
100.0ms256×0invalid
Compiler

Compiled 871 to 99 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 32.0ms (39.9% of total)
ival-div: 8.0ms (10% of total)
ival-sub: 7.0ms (8.7% of total)
ival-log1p: 7.0ms (8.7% of total)
const: 7.0ms (8.7% of total)
ival-pow: 7.0ms (8.7% of total)
ival-log: 6.0ms (7.5% of total)
ival-add: 3.0ms (3.7% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory
30.9MiB live, 30.9MiB allocated
Counts
29 → 348
Calls
Call 1
Inputs
#s(alt (*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) #<representation binary32>) () ())
#s(alt (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (patch (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())
#s(alt #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (patch #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 x x) #s(literal -4 binary32)) (patch (*.f32 (*.f32 x x) #s(literal -4 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 #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 (*.f32 (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))))) #s(literal 1/2 binary32)) (patch (*.f32 (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))))) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (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))))) (patch (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))))) #<representation binary32>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<representation binary32>) () ())
#s(alt #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))) (patch (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (patch (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #<representation binary32>) () ())
#s(alt (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32)) (patch (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)) (patch (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (patch (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) (patch (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())
#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())
#s(alt #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) (patch #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x) (patch (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x) #<representation binary32>) () ())
#s(alt (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (patch (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))) (patch (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) (patch (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #<representation binary32>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 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) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 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) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 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) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (patch (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (patch (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 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 (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (patch (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 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 (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (patch (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (patch #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* -8 x) 4)) (taylor 0 x) (#s(alt #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (patch #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* x (- (* -20 x) 8)) 4)) (taylor 0 x) (#s(alt #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (patch #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4)) (taylor 0 x) (#s(alt #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (patch #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor 0 x) (#s(alt (*.f32 (*.f32 x x) #s(literal -4 binary32)) (patch (*.f32 (*.f32 x x) #s(literal -4 binary32)) #<representation binary32>) () ())) ())
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Calls

3 calls:

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

simplify295.0ms (5.4%)

Memory
-15.3MiB live, 223.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04023157
111463064
229023020
365433008
082202837
Stop Event
iter limit
node limit
Counts
348 → 343
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))))))))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (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 (* -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))))
(* 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 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))))
1
(+ 1 (* -1 (pow x 3)))
(+ 1 (* -1 (pow x 3)))
(+ 1 (* -1 (pow x 3)))
-1
(- (* 4 (pow x 2)) 1)
(- (* (pow x 2) (+ 4 (* 8 x))) 1)
(- (* (pow x 2) (+ 4 (* x (+ 8 (* 12 x))))) 1)
-1
(- (* 2 x) 1)
(- (* x (+ 2 (* 2 x))) 1)
(- (* x (+ 2 (* x (+ 2 (* 2 x))))) 1)
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 (- (* -4 x) 2))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* x (- (* -2 x) 2)) 2))
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* -2 x))))
(+ 2 (* x (+ 2 (* -2 x))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(log -1)
(+ (log -1) (* -4 (pow x 2)))
(+ (log -1) (* (pow x 2) (- (* -8 x) 4)))
(+ (log -1) (* (pow x 2) (- (* x (- (* -20 x) 8)) 4)))
(log -1)
(+ (log -1) (* -2 x))
(+ (log -1) (* x (- (* -4 x) 2)))
(+ (log -1) (* x (- (* x (- (* -26/3 x) 4)) 2)))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 8 x)))
(* (pow x 2) (+ 4 (* x (+ 8 (* 12 x)))))
(* (pow x 2) (+ 4 (* x (+ 8 (* x (+ 12 (* 16 x)))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* 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))))
(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
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(* 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))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
3
(+ 3 (* 8 (/ 1 x)))
(+ 3 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+ 3 (+ (* 8 (/ 1 x)) (+ (* 16 (/ 1 (pow x 3))) (/ 12 (pow x 2)))))
-3
(* -1 (+ 3 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 3 (* 2 (/ 1 x))))
(* 1/2 (- (log 3) (log -3)))
(+ (* 1/2 (- (log 3) (log -3))) (/ 1 x))
(+ (* 1/2 (- (log 3) (log -3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log 3) (log -3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(- (log 3) (log -3))
(- (+ (log 3) (* 2 (/ 1 x))) (log -3))
(- (+ (log 3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log -3))
(- (+ (log 3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log -3))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 2))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 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))
(log 3)
(+ (log 3) (* 8/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(log -3)
(+ (log -3) (* 2/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
4
(+ 4 (* 8 (/ 1 x)))
(+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+ 4 (+ (* 8 (/ 1 x)) (+ (* 16 (/ 1 (pow x 3))) (/ 12 (pow x 2)))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 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 -3) (log 3))))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* 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)))
(* -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)))
(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
(- 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 (pow x 3)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
3
(+ 3 (* 8 (/ 1 x)))
(+ 3 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+ 3 (* -1 (/ (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) x)) 8) x)))
-3
(* -1 (+ 3 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 3)
(* 1/2 (- (log 3) (log -3)))
(+ (* 1/2 (- (log 3) (log -3))) (/ 1 x))
(+ (* 1/2 (- (log 3) (log -3))) (+ (/ 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 3) (log -3))))
(- (log 3) (log -3))
(- (+ (log 3) (* 2 (/ 1 x))) (log -3))
(- (+ (log 3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log -3))
(- (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log -3))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 2))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* -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)))))
(log 3)
(+ (log 3) (* 8/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(log -3)
(+ (log -3) (* 2/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
4
(+ 4 (* 8 (/ 1 x)))
(+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+ 4 (* -1 (/ (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) x)) 8) 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 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)
(* -4 (pow x 2))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
(* (pow x 2) (- (* -8 x) 4))
(*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -20 binary32) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -48 binary32) x #s(literal -20 binary32)) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) x)
(* -4 (pow x 2))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
(* -4 (pow x 2))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
(* -4 (pow x 2))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
(* -4 (pow x 2))
(*.f32 #s(literal -4 binary32) (*.f32 x 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 (* -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)
(* 2 x)
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#s(literal 3 binary32)
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#s(literal 2 binary32)
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(pow x 2)
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#s(literal 4 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 3 binary32)
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(+ 3 (* -1 (/ (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) x)) 8) x)))
(-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal -8 binary32) (/.f32 (+.f32 (/.f32 #s(literal 16 binary32) x) #s(literal 12 binary32)) x)) x))
-3
#s(literal -3 binary32)
(* -1 (+ 3 (* 2 (/ 1 x))))
(-.f32 (/.f32 #s(literal -2 binary32) x) #s(literal 3 binary32))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 3)
(-.f32 #s(literal -3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 3)
(-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) x) #s(literal 3 binary32))
(* 1/2 (- (log 3) (log -3)))
(*.f32 (-.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) #s(literal 1/2 binary32))
(+ (* 1/2 (- (log 3) (log -3))) (/ 1 x))
(fma.f32 (-.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (- (log 3) (log -3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (-.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 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 3) (log -3))))
(-.f32 (fma.f32 (-.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 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 3) (log -3))
(-.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32)))
(- (+ (log 3) (* 2 (/ 1 x))) (log -3))
(-.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal 3 binary32))) (log.f32 #s(literal -3 binary32)))
(- (+ (log 3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log -3))
(-.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal 3 binary32))) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -3 binary32)))
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(log 3)
(log.f32 #s(literal 3 binary32))
(+ (log 3) (* 2/3 (/ 1 x)))
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(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 26/81 binary32) x) #s(literal 4/9 binary32)) x)) x))
2
#s(literal 2 binary32)
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(-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32))
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal -2 binary32))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) 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))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x 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)
(* -2 (pow x 2))
(*.f32 (*.f32 #s(literal -2 binary32) x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 2))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x)
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(*.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) x) x)
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(*.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #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)))
(log 3)
(log.f32 #s(literal 3 binary32))
(+ (log 3) (* 8/3 (/ 1 x)))
(+.f32 (/.f32 #s(literal 8/3 binary32) x) (log.f32 #s(literal 3 binary32)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 8/3 binary32) x) (log.f32 #s(literal 3 binary32))) (/.f32 #s(literal 4/9 binary32) (*.f32 x x)))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal -8/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 80/81 binary32) x) #s(literal 4/9 binary32)) x)) x))
(log -3)
(log.f32 #s(literal -3 binary32))
(+ (log -3) (* 2/3 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal -3 binary32)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal -3 binary32))) (/.f32 #s(literal 4/9 binary32) (*.f32 x x)))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(-.f32 (log.f32 #s(literal -3 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 26/81 binary32) x) #s(literal 4/9 binary32)) x)) x))
4
#s(literal 4 binary32)
(+ 4 (* 8 (/ 1 x)))
(+.f32 (/.f32 #s(literal 8 binary32) x) #s(literal 4 binary32))
(+ 4 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+.f32 (+.f32 (/.f32 #s(literal 12 binary32) (*.f32 x x)) #s(literal 4 binary32)) (/.f32 #s(literal 8 binary32) x))
(+ 4 (* -1 (/ (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) x)) 8) x)))
(-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal -8 binary32) (/.f32 (+.f32 (/.f32 #s(literal 16 binary32) x) #s(literal 12 binary32)) x)) x))

rewrite246.0ms (4.5%)

Memory
10.9MiB live, 293.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063454
0100452
1357419
22683419
08863390
Stop Event
iter limit
node limit
iter limit
Counts
29 → 437
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
#s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32)))
(*.f32 (*.f32 x x) #s(literal -4 binary32))
(*.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))
(*.f32 (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))))) #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(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))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))))
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x))))
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))
(-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))))
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(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(*.f32 x x)
(*.f32 #s(literal 2 binary32) x)
#s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32))
(*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)
(log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32)))
(log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))
Outputs
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eval134.0ms (2.5%)

Memory
-14.4MiB live, 177.6MiB allocated
Compiler

Compiled 19 524 to 2 849 computations (85.4% saved)

prune36.0ms (0.7%)

Memory
28.4MiB live, 104.6MiB allocated
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New82612838
Fresh7411
Picked235
Done055
Total83524859
Accuracy
97.7%
Counts
859 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.0%
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32))
90.9%
(*.f32 (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))))) #s(literal 1/2 binary32))
90.9%
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 x) #s(literal 3 binary32))))) #s(literal 1/2 binary32))
90.9%
(*.f32 (log1p.f32 (*.f32 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
78.6%
(*.f32 (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))) #s(literal 1/2 binary32))
8.1%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 3 binary32))) (log.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32))))))
18.1%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32))) (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))
0.7%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
0.7%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
7.4%
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 #s(approx (* -2 (/ x (- 1 x))) #s(literal 2 binary32)))))
93.1%
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
15.8%
(*.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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
91.4%
(*.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))))))
90.9%
(*.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))))))
90.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))))
10.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))) x)))))
96.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (- 1 (pow x 3)) #s(literal 1 binary32)) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))))
90.9%
(*.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)))))))
91.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
10.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (fma.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (*.f32 x #s(literal 2 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))))
65.9%
(*.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)))))
14.7%
(*.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)))
97.0%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
62.4%
#s(approx (* (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) 1/2) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x))
Compiler

Compiled 1 189 to 549 computations (53.8% saved)

regimes63.0ms (1.2%)

Memory
-30.6MiB live, 94.5MiB allocated
Accuracy

Total -31.0b remaining (-3266.6%)

Threshold costs -31b (-3266.6%)

Counts
42 → 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 (/ (* (+ (* (- 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 (* 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 (* (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) 1/2) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x))
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #s(literal -4 binary32))) (log1p.f32 #s(approx (* -2 (/ x (- 1 x))) #s(literal 2 binary32)))))
(*.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 (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))) #s(literal 1/2 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 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (- 1 (pow x 3)) #s(literal 1 binary32)) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) #s(approx (log (+ 1 (* -2 (/ x (- 1 x))))) (+.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal 3 binary32))))))
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 #s(literal -4 binary32) (*.f32 x x))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(*.f32 #s(literal 1/2 binary32) (-.f32 #s(approx (log (neg (+ -1 (* (pow (/ (- 1 x) x) -2) 4)))) (*.f32 (*.f32 x x) #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 #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 x (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #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 #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 (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))))) #s(literal 1/2 binary32))
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 x) #s(literal 3 binary32))))) #s(literal 1/2 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 (*.f32 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(*.f32 (log1p.f32 (*.f32 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (-.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 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 binary32)) x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) 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 (*.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 #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) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) (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 #s(literal 1 binary32) (/.f32 (-.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)) #s(literal 2 binary32)) x)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #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) (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 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) (fma.f32 (fma.f32 x x x) x (*.f32 (fma.f32 x x x) (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (fma.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (*.f32 x #s(literal 2 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (/.f32 (neg.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) (*.f32 x x)))) (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) x))))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32))) (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))
(*.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) (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) 2) #s(literal 2 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 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 3 binary32))) (log.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32))))))
Outputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
Calls

4 calls:

25.0ms
x
13.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
12.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
11.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
Results
AccuracySegmentsBranch
97.0%1x
97.0%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
97.0%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
97.0%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify42.0ms (0.8%)

Memory
22.6MiB live, 61.9MiB 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))

soundness167.0ms (3.1%)

Memory
-31.6MiB live, 95.6MiB 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)

preprocess73.0ms (1.3%)

Memory
35.0MiB live, 117.6MiB allocated
Compiler

Compiled 32 to 30 computations (6.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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