Rust f32::atanh

Time bar (total: 8.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
1×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)

sample424.0ms (4.9%)

Memory
-10.2MiB live, 588.0MiB allocated
Samples
202.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-atanh: 85.0ms (91.4% of total)
ival-true: 5.0ms (5.4% of total)
ival-assert: 3.0ms (3.2% of total)
Bogosity

explain205.0ms (2.4%)

Memory
1.2MiB live, 159.9MiB 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
72.0ms512×0valid
Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (38.7% of total)
ival-log1p: 4.0ms (22.1% of total)
ival-sub: 3.0ms (16.6% of total)
ival-div: 3.0ms (16.6% of total)
exact: 1.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess23.0ms (0.3%)

Memory
-6.9MiB live, 32.3MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

simplify11.0ms (0.1%)

Memory
23.6MiB live, 23.6MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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))))
#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)

localize164.0ms (1.9%)

Memory
-23.0MiB live, 56.1MiB 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))))
accuracy0.0234375
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
accuracy0.07421875
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Samples
83.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (33.4% of total)
ival-div: 2.0ms (22.3% of total)
ival-log1p: 2.0ms (22.3% of total)
ival-sub: 1.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB 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 (* 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 (* 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 (* 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 (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 (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 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 (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 (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 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 (* 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 (* 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

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))
1.0ms
x
@-inf
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))
1.0ms
x
@inf
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))
0.0ms
x
@-inf
(* 2 x)
0.0ms
x
@inf
(* 2 x)

simplify564.0ms (6.5%)

Memory
-10.9MiB live, 266.6MiB allocated
Algorithm
1×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
2798382
32146380
44029380
56487380
08272358
Stop Event
1×iter limit
1×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))))))))
(* 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))))))
(* 1/2 (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)))
(* 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))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -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)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
-2
(* -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)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 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 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (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 #s(literal 2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (*.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(*.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 x (fma.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (fma.f32 x (*.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 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 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 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))

rewrite264.0ms (3%)

Memory
24.9MiB live, 266.3MiB 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
1×iter limit
1×node limit
1×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 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))
(*.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 1/2 binary32))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal 1 binary32))))
(log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))
(neg.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32))))
(neg.f32 (log.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32)))))
(+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))))))
(+.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 0 binary32))
(+.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))) (log1p.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))))))
(+.f32 (log.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))))) (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) #s(literal 1 binary32))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal -1 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))))) (log.f32 (neg.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)))))
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(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (+.f32 x #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (neg.f32 (+.f32 x (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (+.f32 x #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (neg.f32 (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (+.f32 x (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal -1 binary32) (*.f32 x x))) (+.f32 x #s(literal -1 binary32)))
(neg.f32 (*.f32 x #s(literal -2 binary32)))
(-.f32 #s(literal 0 binary32) (*.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32))
(*.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 #s(literal -2 binary32) (neg.f32 x))

eval27.0ms (0.3%)

Memory
-26.4MiB live, 46.2MiB allocated
Compiler

Compiled 5 051 to 804 computations (84.1% saved)

prune59.0ms (0.7%)

Memory
-0.7MiB live, 86.8MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2009209
Fresh000
Picked011
Done000
Total20010210
Accuracy
100.0%
Counts
210 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x))))
✓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 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))))
▶99.6%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
▶99.2%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
▶98.5%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
▶97.0%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
99.3%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
99.7%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
98.6%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x))
Compiler

Compiled 293 to 173 computations (41% saved)

simplify204.0ms (2.3%)

Memory
22.5MiB live, 292.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
cost-diff0
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
cost-diff0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
cost-diff0
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
cost-diff0
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
cost-diff0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
cost-diff0
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
cost-diff0
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
cost-diff0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
cost-diff0
(*.f32 x #s(literal 2 binary32))
cost-diff0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
cost-diff0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
cost-diff0
(log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x))))
cost-diff64
(/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
cost-diff1152
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x))
Rules
13 088×lower-fma.f64
13 072×lower-fma.f32
2 702×lower-*.f64
2 672×lower-*.f32
1 532×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042415
077388
1170388
2373388
3730388
41260388
51445388
62322354
75753354
87428354
08016352
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x))))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x))
(/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(fma.f32 x (neg.f32 x) #s(literal 1 binary32))
(neg.f32 x)
#s(literal 1 binary32)
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
(*.f32 x #s(literal 2 binary32))
x
#s(literal 2 binary32)
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x #s(literal 2/3 binary32))
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x x)
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(*.f32 x #s(literal 2/5 binary32))
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x x)
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))
(*.f32 x #s(literal 2/7 binary32))
#s(literal 2/7 binary32)
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
#s(literal 2 binary32)
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)))
(log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal -2 binary32))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(fma.f32 x (neg.f32 x) #s(literal 1 binary32))
(neg.f32 x)
#s(literal 1 binary32)
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)
(*.f32 x (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal -2 binary32)))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 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 x #s(literal 2 binary32)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
(*.f32 x #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) x)
x
#s(literal 2 binary32)
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x #s(literal 2/3 binary32))
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x x)
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(*.f32 x #s(literal 2/5 binary32))
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x x)
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))) #s(literal 2/3 binary32))
(fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))
(*.f32 x #s(literal 2/7 binary32))
#s(literal 2/7 binary32)
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
#s(literal 2 binary32)

localize128.0ms (1.5%)

Memory
-11.1MiB live, 271.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
accuracy0.046875
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
accuracy0.10400827720923597
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
accuracy0.546875
(*.f32 x #s(literal 2/7 binary32))
accuracy0.02734375
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
accuracy0.0390625
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
accuracy0.1953125
(*.f32 x #s(literal 2/5 binary32))
accuracy0.21602219806720332
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
accuracy0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
accuracy0.05078125
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
accuracy0.3828125
(*.f32 x #s(literal 2/3 binary32))
accuracy0.4415366680598552
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
accuracy0
(*.f32 x #s(literal 2 binary32))
accuracy0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
accuracy0.9455502769602167
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
accuracy0.01171875
(/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
accuracy0.0234375
(log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)))
accuracy0.02734375
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x))
accuracy0.03125
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)
Samples
77.0ms256×0valid
Compiler

Compiled 357 to 43 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 31.0ms (51.3% of total)
const: 11.0ms (18.2% of total)
ival-add: 9.0ms (14.9% of total)
ival-div: 4.0ms (6.6% of total)
ival-log1p: 4.0ms (6.6% of total)
ival-sub: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
2.2MiB live, 40.6MiB allocated
Counts
25 → 300
Calls
Call 1
Inputs
#s(alt (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) (patch (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)))) #<representation binary32>) () ())
#s(alt (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x))) (patch (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 x #s(literal 2 binary32)) (patch (*.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) (patch (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x) #<representation binary32>) () ())
#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 x #s(literal 2/7 binary32)) (patch (*.f32 x #s(literal 2/7 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())
Outputs
#s(alt (* 2 x) (taylor 0 x) (#s(alt (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) (patch (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) (patch (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) (patch (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) (patch (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt -2 (taylor inf x) (#s(alt (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) (patch (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) (patch (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor inf x) (#s(alt (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) (patch (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #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 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) (patch (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt -2 (taylor -inf x) (#s(alt (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) (patch (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) (patch (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor -inf x) (#s(alt (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) (patch (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #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 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) (patch (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 (pow x 2)))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
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#s(alt -2 (taylor -inf x) (#s(alt (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (taylor -inf x) (#s(alt (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x) (patch (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/3 binary32)) (patch (*.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/5 binary32)) (patch (*.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())) ())
#s(alt 2/3 (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2/3 (* 2/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2/3 (* 2/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2/3 (* 2/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 (pow x 2)) (taylor inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 (pow x 2)) (taylor -inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/7 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/7 binary32)) (patch (*.f32 x #s(literal 2/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/7 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/7 binary32)) (patch (*.f32 x #s(literal 2/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/7 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/7 binary32)) (patch (*.f32 x #s(literal 2/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/7 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 2/7 binary32)) (patch (*.f32 x #s(literal 2/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/7 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/7 binary32)) (patch (*.f32 x #s(literal 2/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/7 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/7 binary32)) (patch (*.f32 x #s(literal 2/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/7 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/7 binary32)) (patch (*.f32 x #s(literal 2/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/7 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 2/7 binary32)) (patch (*.f32 x #s(literal 2/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/7 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/7 binary32)) (patch (*.f32 x #s(literal 2/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/7 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/7 binary32)) (patch (*.f32 x #s(literal 2/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/7 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/7 binary32)) (patch (*.f32 x #s(literal 2/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/7 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 2/7 binary32)) (patch (*.f32 x #s(literal 2/7 binary32)) #<representation binary32>) () ())) ())
#s(alt 2/3 (taylor 0 x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2/3 (* 2/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/7 (pow x 4)) (taylor inf x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/7 (pow x 4)) (taylor -inf x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
Calls

75 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* x (+ (* x (* x 2/3)) 2))
0.0ms
x
@inf
(* x (+ (* x (* x 2/3)) 2))
0.0ms
x
@inf
(* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2))
0.0ms
x
@inf
(* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)) 2))
0.0ms
x
@-inf
(* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2))

simplify299.0ms (3.4%)

Memory
-1.6MiB live, 431.1MiB allocated
Algorithm
1×egg-herbie
Rules
18 728×lower-fma.f64
18 728×lower-fma.f32
4 934×lower-*.f64
4 934×lower-*.f32
3 332×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01992840
16442781
217022730
347062708
084862555
Stop Event
1×iter limit
1×node limit
Counts
300 → 295
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* 2 x)
(* x (+ 2 (* 2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
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))))))))
(* 1/2 (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))))))
(* 1/2 (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)))
(* 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))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -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)))
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))))))))
(* 1/2 (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))))))
(* 1/2 (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)))
(* 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))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -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)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 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))))))))
(* 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))))))
(* 1/2 (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)))
(* 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))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -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)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* 2/3 (pow x 2)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (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))))))))
(* 1/2 (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))))))
(* 1/2 (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)))
(* 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))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -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)
(* 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 (* 2/5 (pow x 2))))))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 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))))))
(* 1/2 (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)))
(* 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))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -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)
(* 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))))))))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))
(* 2/7 (pow x 6))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 2/7 (pow x 6))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (pow x 2))))
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
-2
(* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2)))))
-2
(* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/7 x)
(* 2/7 x)
(* 2/7 x)
(* 2/7 x)
(* 2/7 x)
(* 2/7 x)
(* 2/7 x)
(* 2/7 x)
(* 2/7 x)
(* 2/7 x)
(* 2/7 x)
(* 2/7 x)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(* 2/7 (pow x 4))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* 2/7 (pow x 4))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
Outputs
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 #s(literal 2 binary32) (fma.f32 x (fma.f32 x x x) x))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (fma.f32 x (*.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 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 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 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 (pow x 2))))
(*.f32 #s(literal 2 binary32) (fma.f32 x (*.f32 x x) x))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(*.f32 #s(literal 2 binary32) (fma.f32 (*.f32 x (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32)) x))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(*.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x (*.f32 x x) x)))
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x))) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x))) (*.f32 x x))) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
(*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x))) x) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)))
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x))) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(/.f32 (+.f32 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(/.f32 (+.f32 (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x))) (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 6 binary32))))) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.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 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (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))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
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(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
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(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x)))))
(* 2/5 (pow x 4))
(*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32))))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.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 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (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 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* 2/7 (pow x 7))
(*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (-.f32 #s(literal 2/7 binary32) (/.f32 #s(literal -2/5 binary32) (*.f32 x x))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))))
(* 2/7 (pow x 7))
(*.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (-.f32 #s(literal 2/7 binary32) (/.f32 #s(literal -2/5 binary32) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 2/7 binary32) (/.f32 (+.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) #s(literal 2/3 binary32)) (*.f32 x (*.f32 x (*.f32 x x)))))))
2
#s(literal 2 binary32)
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* 2/7 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 2/7 binary32))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 #s(literal 2/7 binary32) (/.f32 #s(literal -2/5 binary32) (*.f32 x x))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 2 binary32))
(* 2/7 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 2/7 binary32))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 #s(literal 2/7 binary32) (/.f32 #s(literal -2/5 binary32) (*.f32 x x))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 2 binary32))
(* 2 (pow x 2))
(*.f32 #s(literal 2 binary32) (*.f32 x x))
(* (pow x 2) (+ 2 (* 2 (pow x 2))))
(*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 x (*.f32 x x) x)))
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (*.f32 x x) x) #s(literal 2 binary32)))
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(*.f32 x (*.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x (*.f32 x x) x))))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x)))
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2)
(+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x))) (*.f32 x x)))
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2)))))
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x))) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x)))
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2)
(+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x))) (*.f32 x x)))
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2)))))
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x))) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
2/3
#s(literal 2/3 binary32)
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* 2/5 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 2/5 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* 2/5 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 2/5 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* 2/7 x)
(*.f32 x #s(literal 2/7 binary32))
(* 2/7 x)
(*.f32 x #s(literal 2/7 binary32))
(* 2/7 x)
(*.f32 x #s(literal 2/7 binary32))
(* 2/7 x)
(*.f32 x #s(literal 2/7 binary32))
(* 2/7 x)
(*.f32 x #s(literal 2/7 binary32))
(* 2/7 x)
(*.f32 x #s(literal 2/7 binary32))
(* 2/7 x)
(*.f32 x #s(literal 2/7 binary32))
(* 2/7 x)
(*.f32 x #s(literal 2/7 binary32))
(* 2/7 x)
(*.f32 x #s(literal 2/7 binary32))
(* 2/7 x)
(*.f32 x #s(literal 2/7 binary32))
(* 2/7 x)
(*.f32 x #s(literal 2/7 binary32))
(* 2/7 x)
(*.f32 x #s(literal 2/7 binary32))
2/3
#s(literal 2/3 binary32)
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* 2/7 (pow x 4))
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 2/7 binary32)))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 #s(literal 2/7 binary32) (/.f32 #s(literal -2/5 binary32) (*.f32 x x))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* 2/7 (pow x 4))
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 2/7 binary32)))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 #s(literal 2/7 binary32) (/.f32 #s(literal -2/5 binary32) (*.f32 x x))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 2/7 binary32) (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))

rewrite453.0ms (5.2%)

Memory
16.4MiB live, 373.5MiB allocated
Rules
6 706×lower-*.f64
6 676×lower-*.f32
4 698×lower-fma.f64
4 682×lower-fma.f32
3 310×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042371
077344
1313310
22507310
08728310
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 436
Calls
Call 1
Inputs
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x))
(/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x))))
(log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
(*.f32 x #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x)
(*.f32 x #s(literal 2/3 binary32))
(*.f32 x #s(literal 2/5 binary32))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(*.f32 x #s(literal 2/7 binary32))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
Outputs
(neg.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(neg.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) x)))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 2 binary32) x))) #s(literal -1 binary32)))
(+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(+.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 2 binary32) x)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 #s(literal 2 binary32) x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (/.f32 (*.f32 #s(literal 8 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.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) x)) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))) #s(literal -1 binary32))
(fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) x) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 x (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) x) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) x (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (*.f32 x #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 #s(literal 2 binary32) x) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) x)) #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (/.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 x x))))
(fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (fma.f32 (neg.f32 (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (fma.f32 (*.f32 x x) (*.f32 x x) (+.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (fma.f32 x (neg.f32 x) #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 (neg.f32 (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (fma.f32 (*.f32 x x) (*.f32 x x) (+.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (fma.f32 x (neg.f32 x) #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 #s(literal 2 binary32) x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x 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 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x 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 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 2 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 #s(literal 2 binary32) x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (/.f32 (*.f32 #s(literal 8 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.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) 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 x #s(literal -2 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (/.f32 (*.f32 #s(literal 8 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 #s(literal 2 binary32) x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (/.f32 (*.f32 #s(literal 8 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (fma.f32 x (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 2 binary32) x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 2 binary32) x))))
(/.f32 (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) 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) x))) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 2 binary32) x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 2 binary32) x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 2 binary32) x))))
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 2 binary32) x)) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (fma.f32 (*.f32 x #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
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(fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x #s(literal 2/7 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))
(fma.f32 (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))) x #s(literal 2/3 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 2/7 binary32)) x) x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 2/7 binary32))) x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))
(-.f32 (/.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal -2/3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)))) #s(literal 4/9 binary32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))))) #s(literal 8/27 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal -2/3 binary32)) (fma.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal -4/9 binary32))))
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))))) #s(literal 8/27 binary32)) (-.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)))) #s(literal 4/9 binary32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))))
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))))) #s(literal 8/27 binary32)) (+.f32 #s(literal 4/9 binary32) (-.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32))))))
(/.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal -4/9 binary32)) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal -2/3 binary32)))
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))))) #s(literal 8/27 binary32))) (neg.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)))) #s(literal 4/9 binary32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32))))))
(/.f32 (neg.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal -4/9 binary32))) (neg.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal -2/3 binary32))))
(/.f32 (-.f32 #s(literal 4/9 binary32) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))))) (-.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))))))
(*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))))) #s(literal 8/27 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)))) #s(literal 4/9 binary32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32))))))
(*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal -4/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal -2/3 binary32))))

eval80.0ms (0.9%)

Memory
23.7MiB live, 171.5MiB allocated
Compiler

Compiled 20 978 to 2 223 computations (89.4% saved)

prune294.0ms (3.4%)

Memory
-0.2MiB live, 315.2MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New7664770
Fresh224
Picked145
Done011
Total76911780
Accuracy
100.0%
Counts
780 → 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))))
▶99.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
22.8%
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
▶99.3%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))))
✓99.6%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
✓99.2%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
✓98.5%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
✓97.0%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
▶99.3%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
▶99.7%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
▶98.6%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
Compiler

Compiled 243 to 152 computations (37.4% saved)

simplify284.0ms (3.3%)

Memory
-7.2MiB live, 251.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
cost-diff0
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
cost-diff0
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
cost-diff0
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))
cost-diff0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x)))
cost-diff0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))))
cost-diff160
(fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))
cost-diff0
(*.f32 x x)
cost-diff0
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
cost-diff0
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
cost-diff0
(*.f32 x x)
cost-diff0
(*.f32 (*.f32 x x) #s(literal 1/3 binary32))
cost-diff0
(fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x)
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
cost-diff0
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
cost-diff0
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
cost-diff0
(log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
Rules
11 530×lower-fma.f64
11 514×lower-fma.f32
3 462×lower-*.f64
3 440×lower-*.f32
1 216×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041325
071298
1138298
2255298
3504298
4925298
51246298
61571298
71965298
82563298
93301298
104096298
115585298
126484298
137328298
147591298
157701298
167907298
08097293
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
x
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x)
x
(*.f32 (*.f32 x x) #s(literal 1/3 binary32))
(*.f32 x x)
#s(literal 1/3 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(*.f32 x (*.f32 x x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x)))
(fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))
x
(*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(*.f32 x x)
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
x
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(*.f32 x #s(literal 1/7 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(*.f32 x (*.f32 x x))
(*.f32 x x)
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x))))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)))
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x))
x
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x)
x
(*.f32 (*.f32 x x) #s(literal 1/3 binary32))
(*.f32 x x)
#s(literal 1/3 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(*.f32 x (*.f32 x x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))
(*.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))
x
(*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(*.f32 x x)
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x))
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
x
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(*.f32 x #s(literal 1/7 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(*.f32 x (*.f32 x x))
(*.f32 x x)

localize138.0ms (1.6%)

Memory
-16.1MiB live, 257.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(*.f32 x (*.f32 x x))
accuracy0.10400827720923597
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
accuracy0.203125
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
accuracy0.55078125
(*.f32 x #s(literal 1/7 binary32))
accuracy0.02734375
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
accuracy0.11328125
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))
accuracy0.21602219806720332
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x)))
accuracy0.359375
(*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))
accuracy0
(*.f32 x x)
accuracy0.02734375
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
accuracy0.07421875
(*.f32 x (*.f32 x x))
accuracy0.21602219806720332
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
accuracy0
(fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x)
accuracy0
(*.f32 x x)
accuracy0.1640625
(*.f32 (*.f32 x x) #s(literal 1/3 binary32))
accuracy0.4415366680598552
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
accuracy0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
accuracy0.0234375
(log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
accuracy0.0390625
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
accuracy0.0625
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
Samples
81.0ms256×0valid
Compiler

Compiled 273 to 43 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 27.0ms (42.5% of total)
const: 18.0ms (28.3% of total)
ival-add: 9.0ms (14.2% of total)
ival-div: 4.0ms (6.3% of total)
ival-log1p: 4.0ms (6.3% of total)
ival-sub: 2.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series50.0ms (0.6%)

Memory
-7.9MiB live, 28.7MiB allocated
Counts
23 → 276
Calls
Call 1
Inputs
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())
#s(alt (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) (patch (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x)) #<representation binary32>) () ())
#s(alt (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x) (patch (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) (patch (*.f32 (*.f32 x x) #s(literal 1/3 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))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x)) (patch (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x)))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())
#s(alt (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) (patch (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) (patch (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x) #<representation binary32>) () ())
#s(alt (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (patch (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())
#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (log -1) (taylor inf x) (#s(alt (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor inf x) (#s(alt (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.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 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
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#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2/3 (* 2/5 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2/3 (* 2/5 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2/3 (* 2/5 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 2/5 (pow x 3)) (taylor inf x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 2/5 (pow x 3)) (taylor -inf x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #<representation binary32>) () ())) ())
#s(alt 2/3 (taylor 0 x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2/3 (* 2/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2/3 (* 2/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2/3 (* 2/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 (pow x 2)) (taylor inf x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/5 (pow x 2)) (taylor -inf x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/7 binary32)) (patch (*.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
Calls

69 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(+ (* (* x (* x (+ (* (* x x) 2/5) 2/3))) x) (* 2 x))
0.0ms
x
@inf
(+ (* (+ (* (* x x) 1/5) 1/3) (* x (* x x))) x)
0.0ms
x
@inf
(+ (* x (* (* x x) 1/3)) x)
0.0ms
x
@-inf
(+ (* (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3) (* x (* x x))) x)
0.0ms
x
@-inf
(+ (* (+ (* (* x x) 1/5) 1/3) (* x (* x x))) x)

simplify449.0ms (5.2%)

Memory
19.1MiB live, 381.1MiB allocated
Algorithm
1×egg-herbie
Rules
17 580×lower-fma.f64
17 580×lower-fma.f32
5 170×lower-*.f64
5 170×lower-*.f32
3 132×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01882460
15952373
215482355
342082348
085102198
Stop Event
1×iter limit
1×node limit
Counts
276 → 268
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))))))))
(* 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))))))
(* 1/2 (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)))
(* 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))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -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)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 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)
(/ -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))
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))))))))
(* 1/2 (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))))))
(* 1/2 (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)))
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 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 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))
(* 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))
(* 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)
(pow x 2)
(pow x 2)
(pow x 2)
(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))))))))
(* 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))))))
(* 1/2 (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)))
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))))))
(* 1/5 (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 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)))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (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)))))
(* 1/5 (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)))))
(* 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 (* 2/5 (pow x 2))))))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
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))))))))
(* 1/2 (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))))))
(* 1/2 (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)))
(* 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))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -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)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (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))))))))
(* 1/2 (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))))))
(* 1/2 (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)))
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))))))))
(* 1/7 (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 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)))))))
1/3
(+ 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)))))
(* 1/7 (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 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 x)
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 2/3 x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* 2/5 (pow x 3))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/5 (pow x 3))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.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 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (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 #s(literal 2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (*.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 x (fma.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.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 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 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 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))))
2
#s(literal 2 binary32)
(+ 2 (* 2 x))
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x #s(literal 2 binary32) #s(literal 2 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 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(/.f32 (*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x 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)) (/ 2 (pow x 2)))) x))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x)) x)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(/.f32 (*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x)))) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* 1/3 (pow x 3))
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* 1/3 (pow x 3))
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 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)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(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))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* 1/5 (pow x 5))
(*.f32 x (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))
(* 1/5 (pow x 5))
(*.f32 x (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
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(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* x (+ 2/3 (* 2/5 (pow x 2))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))
(* x (+ 2/3 (* 2/5 (pow x 2))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))
(* x (+ 2/3 (* 2/5 (pow x 2))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))
(* 2/5 (pow x 3))
(*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32)))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))
(* 2/5 (pow x 3))
(*.f32 x (*.f32 (*.f32 x x) #s(literal 2/5 binary32)))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))
2/3
#s(literal 2/3 binary32)
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* 2/5 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 2/5 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* 2/5 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 2/5 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))

rewrite506.0ms (5.8%)

Memory
-12.3MiB live, 506.0MiB allocated
Rules
6 376×lower-fma.f64
6 360×lower-fma.f32
4 622×lower-*.f64
4 600×lower-*.f32
3 710×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041281
071256
1279256
21883256
08458251
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 413
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
(log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x)
(*.f32 (*.f32 x x) #s(literal 1/3 binary32))
(*.f32 x x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x)))
(*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(*.f32 x (*.f32 x x))
(*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(*.f32 x #s(literal 1/7 binary32))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.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))
(log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)))
(neg.f32 (log.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) (-.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))))))
(+.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) (-.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 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 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) (-.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))))))
(-.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (*.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) (-.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))
(-.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 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 (neg.f32 (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) (-.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #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 x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))
(-.f32 (log.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32))) (log.f32 (-.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) (-.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (fma.f32 (log1p.f32 (*.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) (-.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) (-.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) (*.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (*.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) (-.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 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 x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 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 x) #s(literal 4 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))))))))
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(neg.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(neg.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) x)))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))))
(/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 x #s(literal -2 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (neg.f32 x) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 x #s(literal -2 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x))
(/.f32 (neg.f32 (*.f32 x #s(literal -2 binary32))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 x #s(literal -2 binary32)))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (neg.f32 (neg.f32 (*.f32 x #s(literal -2 binary32)))) (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x)))))
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) x))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
(*.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(*.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal -2 binary32) (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (*.f32 x #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (*.f32 x #s(literal 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)))
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(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
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(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal 4/9 binary32)) (*.f32 (*.f32 x x) #s(literal 4/15 binary32))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32))))
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal 4/9 binary32)) (*.f32 (*.f32 x x) #s(literal 4/15 binary32))))
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (+.f32 #s(literal 4/9 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (*.f32 (*.f32 x x) #s(literal 4/15 binary32)))))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32)) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal 4/9 binary32)) (*.f32 (*.f32 x x) #s(literal 4/15 binary32))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32)) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))) (neg.f32 (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal 4/9 binary32)) (*.f32 (*.f32 x x) #s(literal 4/15 binary32)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))) (neg.f32 (+.f32 #s(literal 4/9 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (*.f32 (*.f32 x x) #s(literal 4/15 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32))) (neg.f32 (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))))
(/.f32 (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32))) (-.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) #s(literal 2/5 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32)) #s(literal 4/9 binary32))) (*.f32 (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32)) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)))) (neg.f32 (neg.f32 (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal 4/9 binary32)) (*.f32 (*.f32 x x) #s(literal 4/15 binary32))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)))) (neg.f32 (-.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x x) #s(literal 2/5 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 4/9 binary32) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))) (fma.f32 (/.f32 #s(literal 4/9 binary32) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32)))))))
(*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal 4/9 binary32)) (*.f32 (*.f32 x x) #s(literal 4/15 binary32)))))
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))))
(*.f32 x #s(literal 1/7 binary32))
(*.f32 #s(literal 1/7 binary32) x)

eval221.0ms (2.5%)

Memory
36.9MiB live, 185.3MiB allocated
Compiler

Compiled 22 004 to 1 869 computations (91.5% saved)

prune180.0ms (2.1%)

Memory
-40.2MiB live, 333.7MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New7874791
Fresh011
Picked235
Done325
Total79210802
Accuracy
100.0%
Counts
802 → 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))))
✓99.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
▶22.8%
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
✓97.0%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
✓99.7%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
▶99.3%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x))
✓98.6%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
▶98.5%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
▶99.6%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
▶99.2%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
Compiler

Compiled 203 to 123 computations (39.4% saved)

simplify461.0ms (5.3%)

Memory
16.6MiB live, 443.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 x (-.f32 #s(literal 1 binary32) x))
cost-diff0
(fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
cost-diff32
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
cost-diff0
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
cost-diff0
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x))
cost-diff0
(fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #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 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x))
cost-diff0
(*.f32 x x)
cost-diff0
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))
cost-diff0
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
cost-diff0
(*.f32 x #s(literal 1/3 binary32))
cost-diff0
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
cost-diff0
(*.f32 (fma.f32 x (*.f32 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 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
cost-diff0
(*.f32 x x)
cost-diff0
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))
cost-diff0
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
Rules
22 960×lower-fma.f64
22 942×lower-fma.f32
2 812×lower-*.f64
2 794×lower-*.f32
2 408×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038306
068302
1143302
2283294
3645294
41092294
51575294
61711294
72089294
82819294
93617294
104306294
115854294
126589294
137692294
147827294
157835294
167910294
177915294
187915294
197915294
08652280
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
x
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(*.f32 x x)
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #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)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
x
(*.f32 x #s(literal 1/3 binary32))
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
x
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(*.f32 x x)
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(*.f32 x #s(literal 1/5 binary32))
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x))
(fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x)
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
#s(literal 1/2 binary32)
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) x))
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
x
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(*.f32 x x)
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(fma.f32 x (*.f32 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)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32)) x))
(*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32)) x)
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
x
(*.f32 x #s(literal 1/3 binary32))
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)
x
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32))
(*.f32 x x)
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(*.f32 x #s(literal 1/5 binary32))
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x))
(fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x)
(fma.f32 (*.f32 x x) (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x))
(*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
#s(literal 1/2 binary32)
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) x))
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)

localize259.0ms (3%)

Memory
20.9MiB live, 180.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
accuracy0.0078125
(fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
accuracy0.07421875
(/.f32 x (-.f32 #s(literal 1 binary32) x))
accuracy24.760955370280495
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
accuracy0
(*.f32 x x)
accuracy0.02734375
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
accuracy0.171875
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x))
accuracy0.21602219806720332
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x))
accuracy0.02734375
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
accuracy0.0390625
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
accuracy0.1953125
(*.f32 x #s(literal 1/5 binary32))
accuracy0.21602219806720332
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
accuracy0
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
accuracy0.05078125
(*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
accuracy0.38671875
(*.f32 x #s(literal 1/3 binary32))
accuracy0.4415366680598552
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
accuracy0.046875
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
accuracy0.046875
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
accuracy0.10400827720923597
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
accuracy0.203125
(*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
Samples
212.0ms256×0valid
Compiler

Compiled 276 to 43 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-mult: 149.0ms (75.5% of total)
ival-sub: 21.0ms (10.6% of total)
ival-add: 10.0ms (5.1% of total)
const: 9.0ms (4.6% of total)
ival-div: 4.0ms (2% of total)
ival-log1p: 4.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory
-42.8MiB live, 54.7MiB allocated
Counts
23 → 276
Calls
Call 1
Inputs
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #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 x (*.f32 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 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())
#s(alt (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 x #s(literal 1/3 binary32)) (patch (*.f32 x #s(literal 1/3 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x) (patch (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) (patch (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) (patch (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 x (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())
#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 x #s(literal 1/5 binary32)) (patch (*.f32 x #s(literal 1/5 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #<representation binary32>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #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 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #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 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #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 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) #<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 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) #<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 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) #<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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) #<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 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) #<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 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
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#s(alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 3)) (taylor -inf x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (patch (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 4)) (taylor inf x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #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 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #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 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #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 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 4)) (taylor -inf x) (#s(alt (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #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 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #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 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #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 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/5 binary32)) (patch (*.f32 x #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/5 binary32)) (patch (*.f32 x #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/5 binary32)) (patch (*.f32 x #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/5 binary32)) (patch (*.f32 x #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/5 binary32)) (patch (*.f32 x #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/5 binary32)) (patch (*.f32 x #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/5 binary32)) (patch (*.f32 x #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/5 binary32)) (patch (*.f32 x #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/5 binary32)) (patch (*.f32 x #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/5 binary32)) (patch (*.f32 x #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/5 binary32)) (patch (*.f32 x #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/5 binary32)) (patch (*.f32 x #s(literal 1/5 binary32)) #<representation binary32>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 (pow x 2)) (taylor inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #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 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #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 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #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 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 (pow x 2)) (taylor -inf x) (#s(alt (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #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 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #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 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #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 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (patch (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
Calls

69 calls:

TimeVariablePointExpression
29.0ms
x
@-inf
(* x 1/5)
15.0ms
x
@-inf
(+ (* x (* x (+ (* (* x x) 1/7) 1/5))) 1/3)
0.0ms
x
@inf
(log (+ (* 2 (/ x (- 1 x))) 1))
0.0ms
x
@inf
(* (+ (* x (* x 1/3)) 1) x)
0.0ms
x
@-inf
(* x 1/3)

simplify229.0ms (2.6%)

Memory
15.2MiB live, 291.8MiB allocated
Algorithm
1×egg-herbie
Rules
10 756×lower-fma.f64
10 756×lower-fma.f32
5 512×lower-*.f64
5 512×lower-*.f32
1 804×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01872498
15972416
215402389
363532380
083162200
Stop Event
1×iter limit
1×node limit
Counts
276 → 266
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))))))))
(* 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))))))
(* 1/2 (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)))
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))))))))
(* 1/7 (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 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
(+ 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)))))))
(* 1/7 (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 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))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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))))))))
(* 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))))))
(* 1/2 (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)))
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 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 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
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (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))))
(* 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))))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 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))))))))
(* 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))))))
(* 1/2 (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)))
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))))))
(* 1/5 (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 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
(+ 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)))))
(* 1/5 (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 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)))))
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))))))))
(* 1/2 (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))))))
(* 1/2 (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)))
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))))))
(* 1/5 (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 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)))
(* 1/3 (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))))
(* 1/5 (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 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)))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (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)))))
(* 1/5 (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)))))
(* 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))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -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)))
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))))))))
(* 1/2 (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))))))
(* 1/2 (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 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-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))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* 1/5 x)
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (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)))))
(* 1/7 (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 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 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (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)))))
(* 1/5 (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)))))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (*.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (*.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(* 1/7 (pow x 6))
(*.f32 x (*.f32 x (*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.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 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1 binary32))
(* 1/7 (pow x 6))
(*.f32 x (*.f32 x (*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.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 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #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)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(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))))
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (*.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)
(* 1/3 (pow x 3))
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)
(* 1/3 (pow x 3))
(*.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
(+ 1 (* 1/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
(+ 1 (* 1/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
(* 1/3 (pow x 2))
(*.f32 #s(literal 1/3 binary32) (*.f32 x x))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
(* 1/3 (pow x 2))
(*.f32 #s(literal 1/3 binary32) (*.f32 x x))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (*.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(* 1/2 (log -1))
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(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32)) x))
x
(* x (+ 1 x))
(fma.f32 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f32 x (fma.f32 x x x) x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(fma.f32 x (fma.f32 x (fma.f32 x x x) x) x)
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 x)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x)) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 x)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x)) x))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x)) x)) x))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* 1/7 (pow x 3))
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* 1/7 (pow x 3))
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* 1/7 (pow x 4))
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* 1/5 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* 1/5 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))

rewrite359.0ms (4.1%)

Memory
44.9MiB live, 467.1MiB allocated
Rules
5 872×lower-fma.f64
5 854×lower-fma.f32
4 814×lower-*.f64
4 796×lower-*.f32
3 830×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038272
068268
1283262
21950262
08405250
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 530
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #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 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
(*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
(*.f32 x #s(literal 1/3 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x))
(fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x)
(*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
(fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
(*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(*.f32 x #s(literal 1/5 binary32))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(+.f32 x (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))))
(+.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) x)
(fma.f32 #s(literal 1 binary32) x (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))))
(fma.f32 x #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))))
(fma.f32 x (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)
(fma.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x x)
(fma.f32 (*.f32 x (*.f32 x x)) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) x)
(fma.f32 (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (*.f32 x x) x)
(-.f32 (/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (-.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) x)) (/.f32 (*.f32 x x) (-.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) x)))
(/.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (-.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) x))))
(/.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)))) (*.f32 x x)) (-.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x))) x))
(/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) #s(literal 1 binary32))) (fma.f32 x (*.f32 (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))))
(/.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) #s(literal -1 binary32))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)))
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(pow.f32 (/.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))) (fma.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/27 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)) (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/9 binary32))) #s(literal -1 binary32))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(fma.f32 (*.f32 x #s(literal 1/5 binary32)) x #s(literal 1/3 binary32))
(-.f32 (/.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))
(-.f32 (/.f32 #s(literal 1/9 binary32) (-.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))) (/.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (-.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))) (fma.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/27 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)) (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/9 binary32))))
(/.f32 (fma.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/27 binary32)) (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))))
(/.f32 (fma.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/27 binary32)) (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))))
(/.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/9 binary32)) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))) (fma.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/27 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)) (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/9 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/27 binary32))) (neg.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/27 binary32))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/9 binary32))) (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))
(/.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (-.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)) #s(literal 1/9 binary32))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/27 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))) (neg.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(*.f32 (fma.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))))
(*.f32 (fma.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))

eval113.0ms (1.3%)

Memory
-29.7MiB live, 242.8MiB allocated
Compiler

Compiled 24 627 to 1 957 computations (92.1% saved)

prune339.0ms (3.9%)

Memory
5.9MiB live, 425.4MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New8831884
Fresh000
Picked055
Done145
Total88410894
Accuracy
100.0%
Counts
894 → 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))))
✓99.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
✓22.8%
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
✓99.7%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
✓99.3%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x))
✓98.6%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
✓98.5%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
97.0%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* x (* x 1/3)) 1) #s(literal 1 binary32)) x))
✓99.6%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
✓99.2%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
Compiler

Compiled 382 to 164 computations (57.1% saved)

regimes26.0ms (0.3%)

Memory
-10.8MiB live, 63.1MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* x (* x 1/3)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #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 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x))))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x))))
Calls

4 calls:

8.0ms
x
7.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
6.0ms
(/.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))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.9%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.9%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes25.0ms (0.3%)

Memory
26.9MiB live, 63.1MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* x (* x 1/3)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #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 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 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:

8.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.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 (*.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)

regimes25.0ms (0.3%)

Memory
5.4MiB live, 44.3MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* x (* x 1/3)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
Calls

4 calls:

10.0ms
(/.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)

regimes23.0ms (0.3%)

Memory
-3.7MiB live, 65.3MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* x (* x 1/3)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
Calls

4 calls:

7.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
7.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
4.0ms
(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)

regimes18.0ms (0.2%)

Memory
5.4MiB live, 43.5MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* x (* x 1/3)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
Calls

4 calls:

5.0ms
(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
99.6%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)

regimes21.0ms (0.2%)

Memory
-6.2MiB live, 41.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* x (* x 1/3)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))) x (*.f32 #s(literal 2 binary32) x))))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x))
Calls

4 calls:

9.0ms
(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))
3.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.3%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.3%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes13.0ms (0.2%)

Memory
-3.3MiB live, 34.8MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* x (* x 1/3)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
Calls

4 calls:

4.0ms
(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))))
3.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms
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)

regimes39.0ms (0.4%)

Memory
-8.0MiB live, 30.0MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* x (* x 1/3)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x))
Calls

4 calls:

31.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.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)))
2.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
98.6%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
98.6%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
98.6%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes8.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* x (* x 1/3)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 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 x (*.f32 x #s(literal 1/3 binary32)) #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
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)))
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)

regimes34.0ms (0.4%)

Memory
-19.6MiB live, 18.9MiB 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 (+ (* x (* x 1/3)) 1) #s(literal 1 binary32)) x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* x (* x 1/3)) 1) #s(literal 1 binary32)) x))
Calls

4 calls:

29.0ms
(*.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
97.0%1x
97.0%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
97.0%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
97.0%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify8.0ms (0.1%)

Memory
21.4MiB live, 21.4MiB allocated
Algorithm
1×egg-herbie
Rules
36×*-commutative_binary32
4×sub-neg_binary32
4×+-commutative_binary32
2×neg-sub0_binary32
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064225
188225
291225
392225
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.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) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* x (* x 1/3)) 1) #s(literal 1 binary32)) x))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 x (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #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) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* x (* x 1/3)) 1) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 x #s(approx (+ (* x (* x 1/3)) 1) #s(literal 1 binary32))))

soundness1.5s (17.3%)

Memory
-10.2MiB live, 1 077.9MiB allocated
Rules
18 728×lower-fma.f64
18 728×lower-fma.f32
17 580×lower-fma.f64
17 580×lower-fma.f32
12 938×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01872498
15972416
215402389
363532380
083162200
01882460
15952373
215482355
342082348
085102198
01992840
16442781
217022730
347062708
084862555
0106404
1312390
2798382
32146380
44029380
56487380
08272358
041281
071256
1279256
21883256
08458251
042371
077344
1313310
22507310
08728310
0928
01528
15428
240428
3559528
0863628
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 340 to 170 computations (50% saved)

preprocess83.0ms (0.9%)

Memory
-13.8MiB live, 144.9MiB allocated
Compiler

Compiled 292 to 112 computations (61.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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