Rust f32::atanh

Time bar (total: 6.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
3.2MiB live, 3.2MiB 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)

sample428.0ms (6.4%)

Memory
22.9MiB live, 424.0MiB allocated
Samples
286.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-atanh: 99.0ms (93.2% of total)
ival-true: 4.0ms (3.8% of total)
ival-assert: 2.0ms (1.9% of total)
Bogosity

explain151.0ms (2.3%)

Memory
-26.9MiB live, 89.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
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-(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
28.0ms512×0valid
Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (34.8% of total)
ival-log1p: 4.0ms (23.2% of total)
ival-sub: 3.0ms (17.4% of total)
ival-div: 3.0ms (17.4% of total)
exact: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess19.0ms (0.3%)

Memory
25.4MiB live, 25.4MiB allocated
Algorithm
egg-herbie
Rules
124×lower-fma.f64
124×lower-fma.f32
88×lower-*.f64
84×lower-*.f32
76×lower-+.f64
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 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify29.0ms (0.4%)

Memory
-19.5MiB live, 16.6MiB 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))))
Rules
124×lower-fma.f64
124×lower-fma.f32
88×lower-*.f64
84×lower-*.f32
76×lower-+.f64
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)

localize20.0ms (0.3%)

Memory
26.4MiB live, 26.4MiB 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))))
accuracy0.01953125
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
accuracy0.0703125
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Samples
14.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (35.7% of total)
ival-div: 2.0ms (23.8% of total)
ival-log1p: 2.0ms (23.8% of total)
ival-sub: 1.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())
#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (log -1) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt -2 (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt -2 (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
Calls

3 calls:

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

simplify182.0ms (2.7%)

Memory
2.9MiB live, 123.6MiB allocated
Algorithm
egg-herbie
Rules
12 938×lower-fma.f64
12 938×lower-fma.f32
3 522×lower-*.f64
3 522×lower-*.f32
2 748×lower-+.f64
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))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 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 x x #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) 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)
(* 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) (*.f32 (*.f32 x x) x))) (/.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) (*.f32 (*.f32 (*.f32 (*.f32 x x) x) x) x)) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) x))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (-.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) x)) (/.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) (*.f32 (*.f32 (*.f32 (*.f32 x x) x) x) x)) (/.f32 #s(literal -2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) x))) (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 #s(literal 1 binary32) (*.f32 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) (*.f32 (*.f32 x x) x))) (/.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 (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (*.f32 x x)) #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) (*.f32 (*.f32 x x) x)) (/.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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) #s(literal -2/3 binary32)) (*.f32 x x))) x))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 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)

rewrite320.0ms (4.8%)

Memory
-21.4MiB live, 171.3MiB allocated
Rules
4 286×lower-fma.f64
4 286×lower-fma.f32
3 506×lower-*.f64
3 502×lower-*.f32
2 126×lower-/.f64
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
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 2 binary32))) (log.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32)))) #s(literal 8 binary32) #s(literal 1 binary32)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))))))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))))))
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(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (*.f32 x x) x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (*.f32 x x) x #s(literal 1 binary32)))) x))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (*.f32 x x) x #s(literal 1 binary32)))) (fma.f32 x x x)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (*.f32 x x) x #s(literal 1 binary32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (*.f32 x x) x #s(literal 1 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (*.f32 x x) x #s(literal 1 binary32)))) (fma.f32 x x x)))
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32))) #s(literal -1 binary32)))
(neg.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal -2 binary32) (neg.f32 x))
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) x))
(*.f32 (neg.f32 x) #s(literal -2 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32)))
(*.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1 binary32))
(*.f32 x #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) x)
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) x))
(neg.f32 (*.f32 #s(literal -2 binary32) x))

eval20.0ms (0.3%)

Memory
28.1MiB live, 28.1MiB allocated
Compiler

Compiled 5 051 to 802 computations (84.1% saved)

prune87.0ms (1.3%)

Memory
3.5MiB live, 75.1MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2027209
Fresh000
Picked011
Done000
Total2028210
Accuracy
100.0%
Counts
210 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
97.3%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
23.5%
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))
96.5%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
99.5%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
99.1%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
98.4%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
Compiler

Compiled 189 to 119 computations (37% saved)

simplify388.0ms (5.8%)

Memory
-19.8MiB live, 147.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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))
cost-diff0
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32))
cost-diff0
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
cost-diff0
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
cost-diff0
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32))
cost-diff0
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
cost-diff0
(*.f32 x x)
cost-diff0
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))
cost-diff0
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 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)))
cost-diff0
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))
cost-diff0
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)
cost-diff0
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
Rules
22 536×lower-fma.f64
22 524×lower-fma.f32
2 768×lower-*.f64
2 752×lower-*.f32
2 384×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035267
059267
1104267
2171267
3330261
4828261
51325251
61476251
71857251
82485251
93312251
103981251
115488251
126248251
137285251
147418251
157426251
167499251
177504251
187504251
197504251
08233245
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))
#s(literal -2 binary32)
(-.f32 x #s(literal 1 binary32))
x
#s(literal 1 binary32)
(*.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
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))
(*.f32 x x)
x
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
#s(literal 1/5 binary32)
(*.f32 x x)
x
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 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))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
#s(literal 1/7 binary32)
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal 1 binary32)
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
(*.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
(log1p.f32 (*.f32 (/.f32 x (-.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)
(*.f32 (/.f32 x (-.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
#s(literal -2 binary32)
(-.f32 x #s(literal 1 binary32))
x
#s(literal 1 binary32)
(*.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 #s(literal 2 binary32) x)) #s(literal 1/2 binary32))
#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
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
x
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
#s(literal 1/5 binary32)
(*.f32 x x)
x
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 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))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
#s(literal 1/7 binary32)
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal 1 binary32)

localize147.0ms (2.2%)

Memory
6.2MiB live, 211.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
accuracy0.03125
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
accuracy0.046875
(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))
accuracy0.12696896928340606
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
accuracy0
(*.f32 x x)
accuracy0.04296875
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
accuracy0.05078125
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
accuracy0.25450586871177067
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
accuracy0
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))
accuracy0
(*.f32 x x)
accuracy0.0546875
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
accuracy0.48238275982870005
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
accuracy0
(*.f32 #s(literal 2 binary32) x)
accuracy0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
accuracy1.1198991243169059
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
accuracy0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
accuracy0.01953125
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
accuracy0.06640625
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)
accuracy0.0703125
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))
Samples
128.0ms256×0valid
Compiler

Compiled 239 to 36 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 78.0ms (68% of total)
ival-add: 18.0ms (15.7% of total)
const: 8.0ms (7% of total)
ival-div: 4.0ms (3.5% of total)
ival-log1p: 4.0ms (3.5% of total)
ival-sub: 3.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
7.9MiB live, 43.9MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) #<representation binary32>) () ())
#s(alt (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) (patch (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())
#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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (patch (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (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)) (patch (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)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (patch (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) #<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) (-.f32 x #s(literal 1 binary32))) x))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) (patch (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x)) (patch (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x)) (patch (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x)) (patch (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* 2 x)) (taylor 0 x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* x (+ 2 (* 2 x)))) (taylor 0 x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) (taylor 0 x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #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 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #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 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
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#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 7)) (taylor -inf x) (#s(alt (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) (taylor -inf x) (#s(alt (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 6)) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 4)) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 2)) (taylor -inf x) (#s(alt (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (patch (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (patch (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (patch (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (patch (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@0
((* 1/2 (log (+ 1 (* (/ -2 (- x 1)) x)))) (log (+ 1 (* (/ -2 (- x 1)) x))) (* (/ -2 (- x 1)) x) (/ -2 (- x 1)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (* x x) 1/3) 1) x) (+ (* (* x x) 1/3) 1) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) (+ (* 1/5 (* x x)) 1/3) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (+ (* 1/7 (* x x)) 1/5))
3.0ms
x
@inf
((* 1/2 (log (+ 1 (* (/ -2 (- x 1)) x)))) (log (+ 1 (* (/ -2 (- x 1)) x))) (* (/ -2 (- x 1)) x) (/ -2 (- x 1)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (* x x) 1/3) 1) x) (+ (* (* x x) 1/3) 1) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) (+ (* 1/5 (* x x)) 1/3) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (+ (* 1/7 (* x x)) 1/5))
2.0ms
x
@-inf
((* 1/2 (log (+ 1 (* (/ -2 (- x 1)) x)))) (log (+ 1 (* (/ -2 (- x 1)) x))) (* (/ -2 (- x 1)) x) (/ -2 (- x 1)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (* x x) 1/3) 1) x) (+ (* (* x x) 1/3) 1) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) (+ (* 1/5 (* x x)) 1/3) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (+ (* 1/7 (* x x)) 1/5))

simplify179.0ms (2.7%)

Memory
-16.3MiB live, 173.3MiB allocated
Algorithm
egg-herbie
Rules
10 564×lower-fma.f64
10 564×lower-fma.f32
5 402×lower-*.f64
5 402×lower-*.f32
1 730×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01702260
15452173
214242149
362142146
083911981
Stop Event
iter limit
node limit
Counts
240 → 232
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
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 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)
(* 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))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
1/5
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (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)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) 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))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 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))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 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)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 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
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) 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 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)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 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 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 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)))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 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 (* x (+ 2 (* 2 x))))
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 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))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))
(+ 1 (* 1/3 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))
(+ 1 (* 1/3 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(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))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(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))
1/5
#s(literal 1/5 binary32)
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) 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 binary32) x) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) x) x) x))) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 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) (*.f32 (*.f32 x x) x)) (/.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) (*.f32 (*.f32 (*.f32 (*.f32 x x) x) x) x)) (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) x))) (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 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 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 binary32) x) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) 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 binary32) x) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) x) x) x))) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 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) (*.f32 (*.f32 x x) x)) (/.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) (*.f32 (*.f32 (*.f32 (*.f32 x x) x) x) x)) (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) x))) (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))
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(*.f32 (pow.f32 x #s(literal 7 binary32)) #s(literal 1/7 binary32))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/7 binary32)) (pow.f32 x #s(literal 7 binary32)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal -1/7 binary32)) (pow.f32 x #s(literal 7 binary32)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x)) (-.f32 #s(literal -1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) (pow.f32 x #s(literal 7 binary32)))
(* 1/7 (pow x 6))
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) x) x) #s(literal 1/7 binary32)) x) x)
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) x) (*.f32 (*.f32 x x) x))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) x) x) (*.f32 x x)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) #s(literal 1/7 binary32)) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) x) x) (*.f32 x x)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) #s(literal 1/7 binary32)) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) #s(literal 1 binary32))
(* 1/7 (pow x 4))
(*.f32 (*.f32 (*.f32 (*.f32 x x) x) x) #s(literal 1/7 binary32))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) x) x)
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) #s(literal 1/7 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x) (*.f32 #s(literal 1/5 binary32) (*.f32 x x)))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) #s(literal 1/7 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x) (*.f32 #s(literal 1/5 binary32) (*.f32 x x)))
(* 1/7 (pow x 2))
(*.f32 #s(literal 1/7 binary32) (*.f32 x x))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))

rewrite221.0ms (3.3%)

Memory
5.5MiB live, 301.9MiB allocated
Rules
5 408×lower-fma.f64
5 396×lower-fma.f32
4 658×lower-/.f64
4 656×lower-/.f32
3 894×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035239
059239
1227229
21741229
08556229
Stop Event
iter limit
node limit
iter limit
Counts
20 → 384
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))
(*.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)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))
(*.f32 x x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 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))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
Outputs
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
(log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) (-.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))) (fma.f32 (log1p.f32 (*.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) (-.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) (-.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #s(literal 1 binary32)))) (*.f32 (log1p.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))) (log1p.f32 (*.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) (-.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #s(literal 1 binary32))))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) (*.f32 x #s(literal -2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) (*.f32 x #s(literal -2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) (*.f32 x #s(literal -2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (fma.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (*.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) (*.f32 x #s(literal -2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))))
(-.f32 (log.f32 (-.f32 (/.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) (*.f32 x #s(literal -2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #s(literal 1 binary32))))
(-.f32 (log.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))) (*.f32 (*.f32 x x) x) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) (-.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) (*.f32 x #s(literal -2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))))
(-.f32 (log1p.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))) (log.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))))
(-.f32 (log1p.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))) (log1p.f32 (*.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) (-.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) (*.f32 x #s(literal -2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) (-.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) (*.f32 x #s(literal -2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))))
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))))
(*.f32 (/.f32 (neg.f32 x) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 (neg.f32 x) (fma.f32 (*.f32 x x) x #s(literal -1 binary32))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 x x) x #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))))
(*.f32 (/.f32 #s(literal 2 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal 2 binary32) (fma.f32 (*.f32 x x) x #s(literal -1 binary32))) (/.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 x (fma.f32 (*.f32 x x) x #s(literal -1 binary32))) (/.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) (-.f32 x #s(literal 1 binary32))))
(*.f32 (/.f32 x (-.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))
(*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (fma.f32 (*.f32 x x) x #s(literal -1 binary32))) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32)))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (*.f32 x #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) x #s(literal -1 binary32))) (/.f32 (*.f32 x #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x x) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 (*.f32 x x) x #s(literal -1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 x #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 x #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 x #s(literal -2 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal 2 binary32) x))
(*.f32 (*.f32 x #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))
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(/.f32 (neg.f32 (fma.f32 #s(literal 1/49 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/25 binary32))) (neg.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal -1/5 binary32))))
(/.f32 (neg.f32 (fma.f32 (*.f32 #s(literal 1/343 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 x x) x) #s(literal 1/125 binary32))) (neg.f32 (+.f32 #s(literal 1/25 binary32) (-.f32 (*.f32 #s(literal 1/49 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 x x) #s(literal 1/35 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 #s(literal 1/343 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 x x) x) #s(literal 1/125 binary32))) (neg.f32 (-.f32 (fma.f32 #s(literal 1/49 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/25 binary32)) (*.f32 (*.f32 x x) #s(literal 1/35 binary32)))))
(/.f32 (fma.f32 #s(literal 1/49 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/25 binary32)) (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal -1/5 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)))))
(/.f32 (fma.f32 (*.f32 #s(literal 1/343 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 x x) x) #s(literal 1/125 binary32)) (+.f32 #s(literal 1/25 binary32) (-.f32 (*.f32 #s(literal 1/49 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 x x) #s(literal 1/35 binary32)))))
(/.f32 (fma.f32 (*.f32 #s(literal 1/343 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 x x) x) #s(literal 1/125 binary32)) (-.f32 (fma.f32 #s(literal 1/49 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/25 binary32)) (*.f32 (*.f32 x x) #s(literal 1/35 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/5 binary32) (*.f32 #s(literal 1/7 binary32) (*.f32 x x))) (-.f32 #s(literal 1/25 binary32) (*.f32 #s(literal 1/49 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/25 binary32) (-.f32 (*.f32 #s(literal 1/49 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 x x) #s(literal 1/35 binary32)))) (fma.f32 (*.f32 #s(literal 1/343 binary32) (*.f32 (*.f32 x x) x)) (*.f32 (*.f32 x x) x) #s(literal 1/125 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))))
(-.f32 (/.f32 #s(literal 1/25 binary32) (-.f32 #s(literal 1/5 binary32) (*.f32 #s(literal 1/7 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 1/49 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (-.f32 #s(literal 1/5 binary32) (*.f32 #s(literal 1/7 binary32) (*.f32 x x)))))
(-.f32 (/.f32 (*.f32 #s(literal 1/49 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal -1/5 binary32))) (/.f32 #s(literal 1/25 binary32) (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal -1/5 binary32))))
(fma.f32 (*.f32 #s(literal 1/7 binary32) x) x #s(literal 1/5 binary32))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(fma.f32 x (*.f32 #s(literal 1/7 binary32) x) #s(literal 1/5 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 #s(literal 1/7 binary32) (*.f32 x x)) #s(literal 1/5 binary32))
(+.f32 #s(literal 1/5 binary32) (*.f32 #s(literal 1/7 binary32) (*.f32 x x)))

eval74.0ms (1.1%)

Memory
4.3MiB live, 191.9MiB allocated
Compiler

Compiled 18 042 to 1 725 computations (90.4% saved)

prune213.0ms (3.2%)

Memory
-21.9MiB live, 347.0MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New7215726
Fresh112
Picked235
Done011
Total72410734
Accuracy
100.0%
Counts
734 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
23.5%
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))
99.6%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
99.2%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
98.5%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
99.5%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
99.5%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
99.1%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
98.4%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
96.5%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
Compiler

Compiled 288 to 133 computations (53.8% saved)

simplify123.0ms (1.8%)

Memory
24.2MiB live, 174.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32))
cost-diff0
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x)
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
cost-diff2592
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))
cost-diff0
(*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
cost-diff0
(*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
cost-diff0
(fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
cost-diff0
(*.f32 x x)
cost-diff0
(*.f32 #s(literal 1/3 binary32) (*.f32 x x))
cost-diff0
(fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x)
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
cost-diff0
#s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32))
cost-diff0
(*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x)
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
cost-diff0
(*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
cost-diff0
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
cost-diff0
(fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
Rules
13 004×lower-fma.f64
12 988×lower-fma.f32
3 434×lower-+.f64
3 434×lower-+.f32
2 608×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045564
073498
1134498
2249484
3769482
43736480
57930480
08029458
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
(fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
(*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(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))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
#s(literal 1/7 binary32)
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x)
#s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32))
#s(literal 1 binary32)
x
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
(fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x)
(*.f32 #s(literal 1/3 binary32) (*.f32 x x))
#s(literal 1/3 binary32)
(*.f32 x x)
x
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
(fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)
(*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
(*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
#s(literal 1/5 binary32)
(*.f32 x x)
x
#s(literal 1/3 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x)
(fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32))
(*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
(*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(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))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
#s(literal 1/7 binary32)
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal -1 binary32)
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
(fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)
(fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
(*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
(*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(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))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
#s(literal 1/7 binary32)
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x)
#s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32))
#s(literal 1 binary32)
x
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
(fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x)
(*.f32 #s(literal 1/3 binary32) (*.f32 x x))
#s(literal 1/3 binary32)
(*.f32 x x)
x
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
(fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)
(*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
(*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
#s(literal 1/5 binary32)
(*.f32 x x)
x
#s(literal 1/3 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x)
(*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) #s(literal -1 binary32)) x)
(fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32))
(fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) #s(literal -1 binary32))
(*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x))
(*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
(*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
(*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(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))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
#s(literal 1/7 binary32)
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal -1 binary32)
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))
(fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x #s(literal -1 binary32))

localize152.0ms (2.3%)

Memory
-7.3MiB live, 279.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x))
accuracy0.125
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
accuracy0.12696896928340606
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
accuracy0.33984375
(*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
accuracy0.05078125
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
accuracy0.12890625
(*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
accuracy0.25450586871177067
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
accuracy0.33984375
(*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
accuracy0
(fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x)
accuracy0
(*.f32 x x)
accuracy0.1640625
(*.f32 #s(literal 1/3 binary32) (*.f32 x x))
accuracy0.48238275982870005
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
accuracy0.03125
(*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x)
accuracy0.12696896928340606
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
accuracy1.053499771000848
#s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32))
accuracy0.046875
(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))
accuracy0.125
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
accuracy0.12696896928340606
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
accuracy0.33984375
(*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
Samples
89.0ms256×0valid
Compiler

Compiled 498 to 42 computations (91.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 30.0ms (47.8% of total)
ival-add: 10.0ms (15.9% of total)
const: 10.0ms (15.9% of total)
ival-sub: 8.0ms (12.7% of total)
ival-div: 3.0ms (4.8% of total)
ival-log1p: 2.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.7%)

Memory
13.9MiB live, 51.1MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x) (patch (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (patch (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x)) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x) (patch (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x) (patch (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) (patch (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) #<representation binary32>) () ())
#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x) (patch (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (patch (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) (patch (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) (patch (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (patch (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) (patch (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (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)) (patch (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)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (patch (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) (patch (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) #<representation binary32>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x 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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x) (patch (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x) (patch (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x) (patch (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x 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 (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x) (patch (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x) #<representation binary32>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (patch (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (patch (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (patch (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (patch (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) #<representation binary32>) () ())) ())
#s(alt (* 1/3 x) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1/3 (* 1/5 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) (patch (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x) (patch (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x) (patch (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #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(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x) (patch (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #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(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x) (patch (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x 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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x) (patch (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x) (patch (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x) (patch (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x) (patch (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) (patch (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) (patch (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) (patch (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) (patch (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* (pow x 13) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))) (taylor -inf x) (#s(alt (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (patch (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 13) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (patch (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* 1/49 (pow x 12)) (taylor -inf x) (#s(alt (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) (patch (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) (patch (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) (patch (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) (patch (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 4)) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 (pow x 2)) (taylor -inf x) (#s(alt (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (patch (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (patch (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (patch (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (patch (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/49 (pow x 11)) (taylor -inf x) (#s(alt (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) (patch (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) (patch (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 11) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))) (taylor -inf x) (#s(alt (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) (patch (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 11) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) (patch (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) #<representation binary32>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
26.0ms
x
@-inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) x) x) (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* 1/3 (* x x)) x) x) (* 1/3 (* x x)) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) x) x) (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x) (/ (* (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) -1)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (+ (* 1/5 (* x x)) 1/3) (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)))
3.0ms
x
@inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) x) x) (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* 1/3 (* x x)) x) x) (* 1/3 (* x x)) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) x) x) (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x) (/ (* (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) -1)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (+ (* 1/5 (* x x)) 1/3) (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)))
2.0ms
x
@0
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) x) x) (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* 1/3 (* x x)) x) x) (* 1/3 (* x x)) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) x) x) (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x) (/ (* (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) -1)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (* (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (+ (* 1/5 (* x x)) 1/3) (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)))

simplify324.0ms (4.8%)

Memory
1.5MiB live, 243.3MiB allocated
Algorithm
egg-herbie
Rules
19 070×lower-fma.f64
19 070×lower-fma.f32
5 530×lower-*.f64
5 530×lower-*.f32
3 220×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01892869
16222792
217572760
352192745
090992594
Stop Event
iter limit
node limit
Counts
264 → 254
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))))))))
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))))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* -1 x)
(* x (- (* 1/9 (pow x 4)) 1))
(* x (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1))
(* x (- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1))
-1
(- (* 1/9 (pow x 4)) 1)
(- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)
(- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1)
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(* 1/9 (pow x 3))
(* (pow x 3) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (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))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
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(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
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(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 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))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 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))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 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))))))
(* 1/49 (pow x 13))
(* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/49 (pow x 11))
(* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 11) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 11) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 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 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 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)))
(* 1/49 (pow x 13))
(* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49)))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))))
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/49 (pow x 11))
(* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49)))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* 1/3 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
(* 1/3 x)
(*.f32 #s(literal 1/3 binary32) x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
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(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* 1/3 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/3 binary32))
(* 1/3 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/3 binary32))
(* 1/3 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/3 binary32))
(* 1/3 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/3 binary32))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
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(* 1/7 (pow x 4))
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(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/7 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) #s(literal 1/7 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) #s(literal 1/7 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x))
(* 1/5 (pow x 2))
(*.f32 #s(literal 1/5 binary32) (*.f32 x x))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(* 1/49 (pow x 11))
(*.f32 (pow.f32 x #s(literal 11 binary32)) #s(literal 1/49 binary32))
(* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 11 binary32)) (+.f32 (/.f32 #s(literal 2/35 binary32) (*.f32 x x)) #s(literal 1/49 binary32)))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49)))
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 71/525 binary32) (*.f32 x x)) #s(literal 2/35 binary32)) (*.f32 x x)) #s(literal -1/49 binary32)) (pow.f32 x #s(literal 11 binary32)))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))))
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/15 binary32) (*.f32 x x)) #s(literal 71/525 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x)) (-.f32 #s(literal -1/49 binary32) (/.f32 #s(literal 2/35 binary32) (*.f32 x x)))) (pow.f32 x #s(literal 11 binary32)))

rewrite225.0ms (3.4%)

Memory
-26.9MiB live, 324.8MiB allocated
Rules
6 556×lower-fma.f64
6 540×lower-fma.f32
4 632×lower-*.f64
4 614×lower-*.f32
4 198×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045472
073406
1274370
21867360
08615337
Stop Event
iter limit
node limit
iter limit
Counts
22 → 470
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
(fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
(*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x)
#s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
(fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x)
(*.f32 #s(literal 1/3 binary32) (*.f32 x x))
(*.f32 x x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
(fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)
(*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
(*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x)
(fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 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))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) (*.f32 x x) x))
(*.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 x (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x #s(literal -1 binary32))))
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))) #s(literal -1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) #s(literal -1 binary32))))))
(*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal -1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (neg.f32 x) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x #s(literal -1 binary32))))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal -1 binary32))) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x #s(literal -1 binary32))))
(*.f32 (*.f32 (/.f32 x (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x #s(literal 1 binary32))) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x #s(literal 1 binary32)))))
(*.f32 (*.f32 (/.f32 x (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x #s(literal 1 binary32))) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x #s(literal 1 binary32))) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal -1 binary32)) x) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) #s(literal -1 binary32))))))
(*.f32 (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal -1 binary32)) x) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))) #s(literal -1 binary32))) (-.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) #s(literal -1 binary32))))
(*.f32 (/.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal -1 binary32))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x #s(literal 1 binary32)))))
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(+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/5 binary32) (*.f32 x x)))
(*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))) (*.f32 x x))
(*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))) x)
(*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x))
(*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x))
(*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x))
(*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)))
(*.f32 x (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))))

eval184.0ms (2.8%)

Memory
41.0MiB live, 316.7MiB allocated
Compiler

Compiled 57 444 to 2 581 computations (95.5% saved)

prune260.0ms (3.9%)

Memory
-21.2MiB live, 376.4MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New1 18111 182
Fresh011
Picked145
Done044
Total1 182101 192
Accuracy
100.0%
Counts
1 192 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
23.5%
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))
99.6%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
99.2%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
98.5%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
99.7%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
99.5%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
99.1%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
98.4%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
96.5%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
Compiler

Compiled 156 to 86 computations (44.9% saved)

simplify199.0ms (3%)

Memory
-19.7MiB live, 230.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))
cost-diff0
(fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))
cost-diff96
(log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))
cost-diff0
(fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32))
cost-diff0
(*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x)
cost-diff0
(/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
Rules
17 208×lower-fma.f64
17 196×lower-fma.f32
4 748×lower-*.f64
4 736×lower-*.f32
2 546×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043394
066394
1113394
2209372
3713372
42302372
54300371
65060371
75468371
87116371
08255368
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
(/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))
(*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x)
(fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32))
#s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x))
(*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)
(*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x)
(*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x)
(fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32))
#s(literal 2/15 binary32)
(*.f32 x x)
x
#s(literal 1/9 binary32)
#s(literal -1 binary32)
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 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))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))
#s(literal 1/2 binary32)
(log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))
#s(literal -2 binary32)
(-.f32 x #s(literal 1 binary32))
x
#s(literal 1 binary32)
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (/.f32 x (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32))))
(/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))
(*.f32 (/.f32 x (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)))
(*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x)
(*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x)
(fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32))
(fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32))
#s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x))
#s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x))
(*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)
(*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)
(*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x)
(*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x)
(*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x)
(*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x)
(fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32))
(fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32))
#s(literal 2/15 binary32)
(*.f32 x x)
x
#s(literal 1/9 binary32)
#s(literal -1 binary32)
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))
(fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 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))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))
(*.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x)))
(fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))
#s(literal -2 binary32)
(-.f32 x #s(literal 1 binary32))
x
#s(literal 1 binary32)

localize96.0ms (1.4%)

Memory
27.0MiB live, 181.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f32 x #s(literal 1 binary32))
accuracy0
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))
accuracy0.0703125
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))
accuracy24.529876582120934
(log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))
accuracy0.09375
(*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x)
accuracy0.109375
(*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x)
accuracy0.12696896928340606
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
accuracy0.60421277575383
#s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x))
Samples
75.0ms256×0valid
Compiler

Compiled 314 to 43 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 29.0ms (47% of total)
const: 14.0ms (22.7% of total)
ival-add: 7.0ms (11.3% of total)
ival-div: 5.0ms (8.1% of total)
ival-log1p: 4.0ms (6.5% of total)
ival-sub: 2.0ms (3.2% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
-2.6MiB live, 34.9MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) (patch (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (patch (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) #<representation binary32>) () ())
#s(alt (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (patch (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) (patch (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) (patch #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) (patch (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) (patch (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) #<representation binary32>) () ())
#s(alt (-.f32 x #s(literal 1 binary32)) (patch (-.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) (patch (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) (patch (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) (patch (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) (patch (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (patch (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) #<representation binary32>) () ())) ())
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#s(alt (* 1/49 (pow x 12)) (taylor -inf x) (#s(alt (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (patch (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (patch (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (patch (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (patch (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) (patch (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) (patch (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) (patch (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) #<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 (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) (patch (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))) #<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) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))) #<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) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor -inf x) (#s(alt (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) (taylor -inf x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) (patch (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/49 (pow x 11)) (taylor -inf x) (#s(alt #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) (patch #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) (patch #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 11) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))) (taylor -inf x) (#s(alt #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) (patch #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 11) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) (patch #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) #<representation binary32>) () ())) ())
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#s(alt (* (pow x 3) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) (patch (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) (patch (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) (patch (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* 2/15 (pow x 4)) (taylor -inf x) (#s(alt (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) (patch (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) (patch (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) (patch (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) (patch (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) #<representation binary32>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f32 x #s(literal 1 binary32)) (patch (-.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f32 x #s(literal 1 binary32)) (patch (-.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f32 x #s(literal 1 binary32)) (patch (-.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f32 x #s(literal 1 binary32)) (patch (-.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/ (* (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) -1)) (* (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) (log (+ (* (/ -2 (- x 1)) x) 1)) (* 1/2 (log (+ (* (/ -2 (- x 1)) x) 1))) (+ (* (/ -2 (- x 1)) x) 1) (/ -2 (- x 1)) (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (* (+ (* 2/15 (* x x)) 1/9) x) (* (* (+ (* 2/15 (* x x)) 1/9) x) x) (- x 1))
3.0ms
x
@inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/ (* (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) -1)) (* (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) (log (+ (* (/ -2 (- x 1)) x) 1)) (* 1/2 (log (+ (* (/ -2 (- x 1)) x) 1))) (+ (* (/ -2 (- x 1)) x) 1) (/ -2 (- x 1)) (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (* (+ (* 2/15 (* x x)) 1/9) x) (* (* (+ (* 2/15 (* x x)) 1/9) x) x) (- x 1))
1.0ms
x
@0
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/ (* (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) -1)) (* (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) x) -1) (log (+ (* (/ -2 (- x 1)) x) 1)) (* 1/2 (log (+ (* (/ -2 (- x 1)) x) 1))) (+ (* (/ -2 (- x 1)) x) 1) (/ -2 (- x 1)) (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (* (+ (* 2/15 (* x x)) 1/9) x) (* (* (+ (* 2/15 (* x x)) 1/9) x) x) (- x 1))

simplify129.0ms (1.9%)

Memory
18.5MiB live, 179.2MiB allocated
Algorithm
egg-herbie
Rules
9 816×lower-fma.f64
9 816×lower-fma.f32
5 066×lower-*.f64
5 066×lower-*.f32
2 388×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02411497
17441456
220461442
360301433
081791359
Stop Event
iter limit
node limit
Counts
144 → 139
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))))))))
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))))))))
(* -1 x)
(* x (- (* 1/9 (pow x 4)) 1))
(* x (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1))
(* x (- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1))
-1
(- (* 1/9 (pow x 4)) 1)
(- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)
(- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1)
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
x
(* x (+ 1 (* 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))))))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(* 1/9 (pow x 3))
(* (pow x 3) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))
(* 1/9 x)
(* x (+ 1/9 (* 2/15 (pow x 2))))
(* x (+ 1/9 (* 2/15 (pow x 2))))
(* x (+ 1/9 (* 2/15 (pow x 2))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 2) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 2) (+ 1/9 (* 2/15 (pow x 2))))
-1
(- x 1)
(- x 1)
(- x 1)
(* 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))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/49 (pow x 13))
(* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 1/2 (log -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))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(* 1/49 (pow x 11))
(* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 11) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 11) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 2/15 (pow x 3))
(* (pow x 3) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(* 1/49 (pow x 13))
(* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49)))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))))
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(* 1/49 (pow x 11))
(* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49)))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))))
(* 2/15 (pow x 3))
(* (pow x 3) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* -1 x)
(neg.f32 x)
(* x (- (* 1/9 (pow x 4)) 1))
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) x) x) #s(literal 1/9 binary32) #s(literal -1 binary32)) x)
(* x (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x) #s(literal -1 binary32)) x)
(* x (- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 71/525 binary32) (*.f32 x x) #s(literal 2/15 binary32)) (*.f32 x x) #s(literal 1/9 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x) #s(literal -1 binary32)) x)
-1
#s(literal -1 binary32)
(- (* 1/9 (pow x 4)) 1)
(fma.f32 (*.f32 (*.f32 (*.f32 x x) x) x) #s(literal 1/9 binary32) #s(literal -1 binary32))
(- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)
(fma.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x) #s(literal -1 binary32))
(- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1)
(fma.f32 (fma.f32 (fma.f32 #s(literal 71/525 binary32) (*.f32 x x) #s(literal 2/15 binary32)) (*.f32 x x) #s(literal 1/9 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x) #s(literal -1 binary32))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
1
#s(literal 1 binary32)
(+ 1 (* 2 x))
(fma.f32 #s(literal 2 binary32) x #s(literal 1 binary32))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 1 binary32))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x #s(literal 1 binary32))
2
#s(literal 2 binary32)
(+ 2 (* 2 x))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)))
(* 1/9 (pow x 3))
(*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/9 binary32))
(* (pow x 3) (+ 1/9 (* 2/15 (pow x 2))))
(*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 71/525 binary32) (*.f32 x x) #s(literal 2/15 binary32)) (*.f32 x x) #s(literal 1/9 binary32)) x) (*.f32 x x))
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))
(*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/35 binary32) (*.f32 x x) #s(literal 71/525 binary32)) (*.f32 x x) #s(literal 2/15 binary32)) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)
(* 1/9 x)
(*.f32 #s(literal 1/9 binary32) x)
(* x (+ 1/9 (* 2/15 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x)
(* x (+ 1/9 (* 2/15 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x)
(* x (+ 1/9 (* 2/15 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x)
(* 1/9 (pow x 2))
(*.f32 (*.f32 #s(literal 1/9 binary32) x) x)
(* (pow x 2) (+ 1/9 (* 2/15 (pow x 2))))
(*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x)
(* (pow x 2) (+ 1/9 (* 2/15 (pow x 2))))
(*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x)
(* (pow x 2) (+ 1/9 (* 2/15 (pow x 2))))
(*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x)
-1
#s(literal -1 binary32)
(- x 1)
(-.f32 x #s(literal 1 binary32))
(- x 1)
(-.f32 x #s(literal 1 binary32))
(- x 1)
(-.f32 x #s(literal 1 binary32))
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) x)) (/.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) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 x x))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) x))))
(* 1/7 (pow x 7))
(*.f32 (pow.f32 x #s(literal 7 binary32)) #s(literal 1/7 binary32))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/7 binary32)) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) #s(literal 1/7 binary32)) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/7 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) (pow.f32 x #s(literal 7 binary32)))
(* 1/49 (pow x 13))
(*.f32 (pow.f32 x #s(literal 13 binary32)) #s(literal 1/49 binary32))
(* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 2/35 binary32) (*.f32 x x)) #s(literal 1/49 binary32)) (pow.f32 x #s(literal 13 binary32)))
(* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(*.f32 (+.f32 (+.f32 (/.f32 #s(literal 71/525 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) (/.f32 #s(literal 2/35 binary32) (*.f32 x x))) #s(literal 1/49 binary32)) (pow.f32 x #s(literal 13 binary32)))
(* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(*.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/15 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/49 binary32)) (+.f32 (/.f32 #s(literal 71/525 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) (/.f32 #s(literal 2/35 binary32) (*.f32 x x)))) (pow.f32 x #s(literal 13 binary32)))
(* 1/49 (pow x 12))
(*.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1/49 binary32))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 (/.f32 #s(literal 2/35 binary32) (*.f32 x x)) #s(literal 1/49 binary32)))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(*.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 71/525 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) (/.f32 #s(literal 2/35 binary32) (*.f32 x x))) #s(literal 1/49 binary32)))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(*.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 2/15 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/49 binary32)) (+.f32 (/.f32 #s(literal 71/525 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) (/.f32 #s(literal 2/35 binary32) (*.f32 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) (*.f32 (*.f32 x x) x)) (/.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 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) x)) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 x x))) (/.f32 #s(literal 2 binary32) x)))
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) x)) (/.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) (*.f32 (*.f32 (*.f32 x x) x) (*.f32 x x))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) x))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x) #s(literal 1 binary32))
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(/.f32 (-.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)) x)
(* 1/49 (pow x 11))
(*.f32 (pow.f32 x #s(literal 11 binary32)) #s(literal 1/49 binary32))
(* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 11 binary32)) (+.f32 (/.f32 #s(literal 2/35 binary32) (*.f32 x x)) #s(literal 1/49 binary32)))
(* (pow x 11) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(*.f32 (pow.f32 x #s(literal 11 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 71/525 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) (/.f32 #s(literal 2/35 binary32) (*.f32 x x))) #s(literal 1/49 binary32)))
(* (pow x 11) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(*.f32 (pow.f32 x #s(literal 11 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 2/15 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/49 binary32)) (+.f32 (/.f32 #s(literal 71/525 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) (/.f32 #s(literal 2/35 binary32) (*.f32 x x)))))
(* 2/15 (pow x 3))
(*.f32 (*.f32 (*.f32 x x) x) #s(literal 2/15 binary32))
(* (pow x 3) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x)
(* (pow x 3) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x)
(* (pow x 3) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x)
(* 2/15 (pow x 4))
(*.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 2/15 binary32)) x)
(* (pow x 4) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/9 binary32) (*.f32 x x)) #s(literal 2/15 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x))
(* (pow x 4) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/9 binary32) (*.f32 x x)) #s(literal 2/15 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x))
(* (pow x 4) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/9 binary32) (*.f32 x x)) #s(literal 2/15 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x))
x
(* x (- 1 (/ 1 x)))
(-.f32 x #s(literal 1 binary32))
(* x (- 1 (/ 1 x)))
(-.f32 x #s(literal 1 binary32))
(* x (- 1 (/ 1 x)))
(-.f32 x #s(literal 1 binary32))
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) x)) (/.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 (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x x)) #s(literal -1 binary32)) x))
(* 1/7 (pow x 7))
(*.f32 (pow.f32 x #s(literal 7 binary32)) #s(literal 1/7 binary32))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/7 binary32)) (pow.f32 x #s(literal 7 binary32)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1/5 binary32)) (*.f32 x x)) #s(literal -1/7 binary32)) (pow.f32 x #s(literal 7 binary32)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x)) (-.f32 #s(literal -1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))) (pow.f32 x #s(literal 7 binary32)))
(* 1/49 (pow x 13))
(*.f32 (pow.f32 x #s(literal 13 binary32)) #s(literal 1/49 binary32))
(* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 2/35 binary32) (*.f32 x x)) #s(literal 1/49 binary32)) (pow.f32 x #s(literal 13 binary32)))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49)))
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 71/525 binary32) (*.f32 x x)) #s(literal 2/35 binary32)) (*.f32 x x)) #s(literal -1/49 binary32)) (pow.f32 x #s(literal 13 binary32)))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))))
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/15 binary32) (*.f32 x x)) #s(literal 71/525 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x)) (-.f32 #s(literal -1/49 binary32) (/.f32 #s(literal 2/35 binary32) (*.f32 x x)))) (pow.f32 x #s(literal 13 binary32)))
(* 1/49 (pow x 12))
(*.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1/49 binary32))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 (/.f32 #s(literal 2/35 binary32) (*.f32 x x)) #s(literal 1/49 binary32)))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(*.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 71/525 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) (/.f32 #s(literal 2/35 binary32) (*.f32 x x))) #s(literal 1/49 binary32)))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(*.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 2/15 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/49 binary32)) (+.f32 (/.f32 #s(literal 71/525 binary32) (*.f32 (*.f32 (*.f32 x x) x) x)) (/.f32 #s(literal 2/35 binary32) (*.f32 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) (*.f32 (*.f32 x x) x)) (/.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 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (*.f32 x x)) #s(literal 2 binary32)) x))
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) x)) (/.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 (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (*.f32 x x)) #s(literal -1 binary32)) x))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x) #s(literal 1 binary32))
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(/.f32 (-.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)) x)
(* 1/49 (pow x 11))
(*.f32 (pow.f32 x #s(literal 11 binary32)) #s(literal 1/49 binary32))
(* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 11 binary32)) (+.f32 (/.f32 #s(literal 2/35 binary32) (*.f32 x x)) #s(literal 1/49 binary32)))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49)))
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 71/525 binary32) (*.f32 x x)) #s(literal 2/35 binary32)) (*.f32 x x)) #s(literal -1/49 binary32)) (pow.f32 x #s(literal 11 binary32)))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))))
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/15 binary32) (*.f32 x x)) #s(literal 71/525 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x)) (-.f32 #s(literal -1/49 binary32) (/.f32 #s(literal 2/35 binary32) (*.f32 x x)))) (pow.f32 x #s(literal 11 binary32)))
(* 2/15 (pow x 3))
(*.f32 (*.f32 (*.f32 x x) x) #s(literal 2/15 binary32))
(* (pow x 3) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x)
(* (pow x 3) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x)
(* (pow x 3) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x)
(* 2/15 (pow x 4))
(*.f32 (*.f32 (*.f32 (*.f32 x x) x) #s(literal 2/15 binary32)) x)
(* (pow x 4) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/9 binary32) (*.f32 x x)) #s(literal 2/15 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x))
(* (pow x 4) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/9 binary32) (*.f32 x x)) #s(literal 2/15 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x))
(* (pow x 4) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/9 binary32) (*.f32 x x)) #s(literal 2/15 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x))
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f32 x #s(literal 1 binary32))
(* -1 (* x (- (/ 1 x) 1)))
(-.f32 x #s(literal 1 binary32))
(* -1 (* x (- (/ 1 x) 1)))
(-.f32 x #s(literal 1 binary32))

rewrite329.0ms (4.9%)

Memory
-17.7MiB live, 223.5MiB allocated
Rules
4 688×lower-*.f64
4 676×lower-*.f32
4 520×lower-fma.f64
4 508×lower-fma.f32
4 422×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043329
066329
1239318
21709258
08293255
Stop Event
iter limit
node limit
iter limit
Counts
12 → 279
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
(/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))
(*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x)
(fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32))
(log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))
#s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x))
(*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x)
(*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x)
(-.f32 x #s(literal 1 binary32))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (/.f32 x (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32))))
(*.f32 (/.f32 (neg.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 x (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
(*.f32 (/.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (neg.f32 x) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
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(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) x) (fma.f32 x x (+.f32 x #s(literal 1 binary32)))) (*.f32 (fma.f32 x x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))) (*.f32 (fma.f32 x x (+.f32 x #s(literal 1 binary32))) (fma.f32 x x (+.f32 x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (-.f32 x #s(literal -1 binary32))))
(/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x x) x #s(literal -1 binary32))) (neg.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x #s(literal -1 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x x) x #s(literal -1 binary32))) (neg.f32 (fma.f32 x x (+.f32 x #s(literal 1 binary32)))))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal -1 binary32)))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32)))
(/.f32 (fma.f32 (*.f32 x x) x #s(literal -1 binary32)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x #s(literal -1 binary32)))))
(/.f32 (fma.f32 (*.f32 x x) x #s(literal -1 binary32)) (fma.f32 x x (+.f32 x #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 x x (+.f32 x #s(literal 1 binary32))) (fma.f32 (*.f32 x x) x #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x (+.f32 x #s(literal 1 binary32))) (fma.f32 (*.f32 x x) x #s(literal -1 binary32))))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal -1 binary32))))
(-.f32 (/.f32 (*.f32 (*.f32 x x) x) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x #s(literal -1 binary32))))))
(-.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))
(-.f32 (/.f32 (*.f32 (*.f32 x x) x) (fma.f32 x x (+.f32 x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 x #s(literal 1 binary32)))))
(-.f32 x #s(literal 1 binary32))
(fma.f32 x #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) x #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x x (+.f32 x #s(literal 1 binary32))) (fma.f32 (*.f32 x x) x #s(literal -1 binary32))) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) x)
(+.f32 x #s(literal -1 binary32))

eval126.0ms (1.9%)

Memory
5.5MiB live, 79.3MiB allocated
Compiler

Compiled 15 060 to 1 520 computations (89.9% saved)

prune119.0ms (1.8%)

Memory
-6.7MiB live, 149.2MiB allocated
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New4153418
Fresh000
Picked202
Done088
Total41711428
Accuracy
100.0%
Counts
428 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.6%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
99.2%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
98.5%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
99.5%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
99.1%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
98.4%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
99.7%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (/.f32 x (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
99.6%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x)))
96.5%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
99.6%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (/.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
Compiler

Compiled 558 to 191 computations (65.8% saved)

regimes21.0ms (0.3%)

Memory
27.0MiB live, 27.0MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (/.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (/.f32 x (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
(*.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) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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))))
Calls

4 calls:

5.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
5.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
5.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
5.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.8%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.8%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes22.0ms (0.3%)

Memory
-1.8MiB live, 34.1MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (/.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (/.f32 x (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
Calls

4 calls:

7.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
5.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
5.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
4.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.7%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.7%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes50.0ms (0.7%)

Memory
-16.2MiB live, 32.2MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (/.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (/.f32 x (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (/.f32 x (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
Calls

4 calls:

36.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
4.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
4.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
4.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.7%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.7%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes49.0ms (0.7%)

Memory
-13.0MiB live, 23.8MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (/.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (/.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
Calls

4 calls:

39.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.6%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.6%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes12.0ms (0.2%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
Calls

4 calls:

3.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.6%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.6%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes27.0ms (0.4%)

Memory
-17.2MiB live, 20.3MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
Calls

4 calls:

18.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.5%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.5%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes11.0ms (0.2%)

Memory
24.2MiB live, 24.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
Calls

4 calls:

3.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.2%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.2%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes12.0ms (0.2%)

Memory
-11.7MiB live, 23.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
Calls

4 calls:

5.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
99.1%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.1%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.1%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes9.0ms (0.1%)

Memory
23.9MiB live, 23.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
Calls

4 calls:

2.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms
x
Results
AccuracySegmentsBranch
98.5%1x
98.5%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
98.5%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
98.5%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes15.0ms (0.2%)

Memory
-39.9MiB live, 10.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
Calls

4 calls:

9.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms
x
Results
AccuracySegmentsBranch
98.4%1x
98.4%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
98.4%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
98.4%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes6.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
Calls

4 calls:

2.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
1.0ms
x
Results
AccuracySegmentsBranch
96.5%1x
96.5%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
96.5%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
96.5%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify9.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Algorithm
egg-herbie
Rules
40×*-commutative_binary32
sub-neg_binary32
+-commutative_binary32
neg-sub0_binary32
neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079374
1104374
2110374
3117374
4118374
Stop Event
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))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (/.f32 x (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (/.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #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 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) #s(literal 1/2 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (/.f32 x (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (/.f32 x (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (/.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (/.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))

soundness1.5s (22.8%)

Memory
2.1MiB live, 872.9MiB allocated
Rules
19 070×lower-fma.f64
19 070×lower-fma.f32
12 938×lower-fma.f64
12 938×lower-fma.f32
10 564×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01528
15428
240428
3559528
0863628
0106404
1312390
2799382
32150380
44030380
56476380
08265358
01702260
15452173
214242149
362142146
083911981
01892869
16222792
217572760
352192745
090992594
043329
066329
1239318
21709258
08293255
035239
059239
1227229
21741229
08556229
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 510 to 230 computations (54.9% saved)

preprocess82.0ms (1.2%)

Memory
8.2MiB live, 89.0MiB allocated
Compiler

Compiled 386 to 122 computations (68.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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