Rust f32::atanh

Time bar (total: 5.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
3.0MiB live, 3.0MiB 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)

sample427.0ms (8%)

Memory
11.2MiB live, 688.5MiB allocated
Samples
279.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-atanh: 74.0ms (90% of total)
ival-true: 5.0ms (6.1% of total)
ival-assert: 3.0ms (3.7% of total)
Bogosity

explain79.0ms (1.5%)

Memory
6.3MiB live, 167.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
390-39(-0.014668895862996578)(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
00-0-#s(literal 1 binary32)
00-0-#s(literal 2 binary32)
00-0-#s(literal 1/2 binary32)
00-0-(-.f32 #s(literal 1 binary32) x)
00-0-(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
00-0-(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
00-0-(*.f32 #s(literal 2 binary32) x)
00-0-x
Confusion
Predicted +Predicted -
+0256
-00
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+00256
-000
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
33.0ms512×0valid
Compiler

Compiled 92 to 31 computations (66.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 6.0ms (31.9% of total)
ival-div: 4.0ms (21.3% of total)
ival-log1p: 4.0ms (21.3% of total)
ival-sub: 3.0ms (16% of total)
exact: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess25.0ms (0.5%)

Memory
-17.5MiB live, 29.7MiB 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))))
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) #s(literal 1/2 binary32))
Compiler

Compiled 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
Compiler

Compiled 10 to 9 computations (10% saved)

simplify10.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB 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))))
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32)))))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)

localize27.0ms (0.5%)

Memory
-31.9MiB live, 45.7MiB 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))))
accuracy0.0703125
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
accuracy2.1423259950050646
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
Samples
18.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (41.8% of total)
ival-sub: 2.0ms (16.7% of total)
ival-div: 2.0ms (16.7% of total)
ival-log1p: 2.0ms (16.7% 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
11.6MiB live, 11.6MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())
#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (log -1) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt -2 (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) (taylor -inf x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt -2 (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) (taylor -inf x) (#s(alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
Calls

3 calls:

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

simplify157.0ms (2.9%)

Memory
16.2MiB live, 210.4MiB 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
2799382
32150380
44030380
56476380
08265358
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))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/5 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 5 binary32)) (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (-.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (-.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32)))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (-.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)

rewrite162.0ms (3%)

Memory
-20.6MiB live, 219.7MiB 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 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32))) (+.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 2 binary32))) (+.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))))))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)) #s(literal -4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))) (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 64 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))) (log1p.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32) (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)) #s(literal -4 binary32)))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 64 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal 1 binary32))))) (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))))
(-.f32 (log.f32 (*.f32 (fma.f32 #s(literal 512 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 9 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal 1 binary32))))) (log1p.f32 (fma.f32 #s(literal 64 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)) (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32))))))
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(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 x x))) (/.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 x x))) (*.f32 #s(literal 2 binary32) (fma.f32 x x x)))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32)))))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
(*.f32 #s(literal -2 binary32) (*.f32 x (/.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 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -2 binary32) x))
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
(*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 x #s(literal 1 binary32))))
(*.f32 (neg.f32 x) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 x #s(literal 2 binary32)))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal -2 binary32) x) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
(*.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32))))
(*.f32 x (*.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 x (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))))
(*.f32 x (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))))
(*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (+.f32 (pow.f32 (fma.f32 x x x) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(/.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 x #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)))
(/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x))
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) x))
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x)))
(fma.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(fma.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(pow.f32 (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #s(literal 1 binary32))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(+.f32 (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(+.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(+.f32 (*.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (*.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) x))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x)))
(exp.f32 (*.f32 (*.f32 (-.f32 (log1p.f32 x) (log.f32 (*.f32 x #s(literal 2 binary32)))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (-.f32 (log.f32 (*.f32 x #s(literal 2 binary32))) (log1p.f32 x)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (-.f32 (log1p.f32 x) (log.f32 (*.f32 x #s(literal 2 binary32)))) #s(literal -1 binary32)))
(neg.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal -2 binary32) (neg.f32 x))
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) x))
(*.f32 (neg.f32 x) #s(literal -2 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32)))
(*.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1 binary32))
(*.f32 x #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) x)
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) x))
(neg.f32 (*.f32 #s(literal -2 binary32) x))

eval38.0ms (0.7%)

Memory
19.5MiB live, 58.0MiB allocated
Compiler

Compiled 4 261 to 820 computations (80.8% saved)

prune6.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2036209
Fresh000
Picked101
Done000
Total2046210
Accuracy
97.5%
Counts
210 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶10.4%
(*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32)))
▶66.3%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
21.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))))
▶7.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
▶97.3%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
▶7.8%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
Compiler

Compiled 146 to 124 computations (15.1% saved)

simplify198.0ms (3.7%)

Memory
-33.9MiB live, 246.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
cost-diff0
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
cost-diff64
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
cost-diff0
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
cost-diff0
(neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32)))
cost-diff256
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32))
cost-diff0
(/.f32 #s(literal 1 binary32) x)
cost-diff0
(log.f32 #s(literal -1 binary32))
cost-diff0
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
cost-diff0
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
cost-diff0
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
cost-diff0
(*.f32 #s(literal 2 binary32) x)
cost-diff0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
cost-diff0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
Rules
14 606×lower-fma.f64
14 600×lower-fma.f32
3 646×lower-*.f64
3 630×lower-*.f32
1 686×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039256
066254
1109248
2184248
3308248
4679248
51633248
63840248
77601248
08077238
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
#s(literal -2 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(log.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32)))
#s(literal 1/2 binary32)
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32))
#s(literal -1 binary32)
(neg.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 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
#s(literal -2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) x))
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
#s(literal 0 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
Outputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
x
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
#s(literal -2 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(log.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32)))
(*.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32))
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))
#s(literal -1 binary32)
(neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))
#s(literal -2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) x))
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
#s(literal 0 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (*.f32 (fma.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -2 binary32)) (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(log1p.f32 (*.f32 (fma.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -2 binary32)) (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (fma.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -2 binary32)) (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)

localize90.0ms (1.7%)

Memory
12.5MiB live, 165.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
accuracy0
(*.f32 x #s(literal 2 binary32))
accuracy0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
accuracy0
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
accuracy0
(*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32)))
accuracy0
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
accuracy0
(neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
accuracy0
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
accuracy0
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
accuracy0
(/.f32 #s(literal 1 binary32) x)
accuracy0
(log.f32 #s(literal -1 binary32))
accuracy0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
accuracy0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
accuracy0
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))
accuracy0
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
accuracy0
(*.f32 #s(literal 2 binary32) x)
accuracy0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
accuracy0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
Samples
60.0ms256×0invalid
Compiler

Compiled 260 to 35 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 15.0ms (33.2% of total)
ival-div: 7.0ms (15.5% of total)
ival-pow: 6.0ms (13.3% of total)
ival-sub: 5.0ms (11.1% of total)
ival-log1p: 5.0ms (11.1% of total)
ival-add: 3.0ms (6.6% of total)
ival-log: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.5%)

Memory
27.5MiB live, 62.9MiB allocated
Counts
20 → 228
Calls
Call 1
Inputs
#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (patch #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())
#s(alt (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) (patch (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())
#s(alt (log.f32 #s(literal -1 binary32)) (patch (log.f32 #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) x) (patch (/.f32 #s(literal 1 binary32) x) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32)) (patch (fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32))) (patch (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32))) #<representation binary32>) () ())
#s(alt (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (patch (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (patch (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (patch (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) (patch (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())
#s(alt (*.f32 x #s(literal 2 binary32)) (patch (*.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) (patch (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (log -1) (/ 1 x) (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0) (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg (log (+ 1 (* -2 (/ x (- 1 x)))))) (log (+ 1 (* -2 (/ x (- 1 x))))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* -2 (/ x (- 1 x))) (* x 2))
7.0ms
x
@0
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (log -1) (/ 1 x) (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0) (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg (log (+ 1 (* -2 (/ x (- 1 x)))))) (log (+ 1 (* -2 (/ x (- 1 x))))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* -2 (/ x (- 1 x))) (* x 2))
3.0ms
x
@-inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (log -1) (/ 1 x) (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0) (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg (log (+ 1 (* -2 (/ x (- 1 x)))))) (log (+ 1 (* -2 (/ x (- 1 x))))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* -2 (/ x (- 1 x))) (* x 2))

simplify138.0ms (2.6%)

Memory
-13.9MiB live, 183.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 834×lower-fma.f64
10 834×lower-fma.f32
4 534×lower-*.f64
4 534×lower-*.f32
2 960×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03391992
19801934
223601903
364321898
081501771
Stop Event
1×iter limit
1×node limit
Counts
228 → 224
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(/ 1 x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -2 x)
(* x (- (* -4 x) 2))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(* -1 x)
(* x (- (* -2 x) 1))
(* x (- (* x (- (* -13/3 x) 2)) 1))
(* x (- (* x (- (* x (- (* -10 x) 13/3)) 2)) 1))
(* 2 x)
(* x (+ 2 (* 4 x)))
(* x (+ 2 (* x (+ 4 (* 26/3 x)))))
(* x (+ 2 (* x (+ 4 (* x (+ 26/3 (* 20 x)))))))
(* -2 x)
(* x (- (* -4 x) 2))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* x (- (* -2 x) 2)) 2))
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(* 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 x))
(+ (* 1/2 (log -1)) (/ 1 x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(* 1/2 (log 3))
(+ (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* 1/2 (log 3)) (+ (/ 2/9 (pow x 2)) (* 1/3 (/ 1 x))))
(+ (* 1/2 (log 3)) (+ (/ 2/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 13/81 (/ 1 (pow x 3))))))
(* -1 (log 3))
(* -1 (+ (log 3) (* 2/3 (/ 1 x))))
(- (* -1 (/ (+ 2/3 (* 4/9 (/ 1 x))) x)) (log 3))
(- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) (pow x 2))) (+ (log 3) (* 2/3 (/ 1 x))))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(* -2 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (/ 1 x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(* 1/2 (log 3))
(+ (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* 1/2 (log 3)) (+ (/ 2/9 (pow x 2)) (* 1/3 (/ 1 x))))
(+ (* -1 (/ (- (* -1 (/ (+ 2/9 (* 13/81 (/ 1 x))) x)) 1/3) x)) (* 1/2 (log 3)))
(* -1 (log 3))
(* -1 (+ (log 3) (* 2/3 (/ 1 x))))
(- (* -1 (/ (+ 2/3 (* 4/9 (/ 1 x))) x)) (log 3))
(- (* -1 (/ (+ 2/3 (+ (/ 26/81 (pow x 2)) (* 4/9 (/ 1 x)))) x)) (log 3))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(* x (- (* -4 x) 2))
(*.f32 (fma.f32 #s(literal -4 binary32) x #s(literal -2 binary32)) x)
(* x (- (* x (- (* -26/3 x) 4)) 2))
(*.f32 (fma.f32 (fma.f32 #s(literal -26/3 binary32) x #s(literal -4 binary32)) x #s(literal -2 binary32)) x)
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -20 binary32) x #s(literal -26/3 binary32)) x #s(literal -4 binary32)) x #s(literal -2 binary32)) x)
(* -1 x)
(neg.f32 x)
(* x (- (* -2 x) 1))
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -1 binary32)) x)
(* x (- (* x (- (* -13/3 x) 2)) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal -13/3 binary32) x #s(literal -2 binary32)) x #s(literal -1 binary32)) x)
(* x (- (* x (- (* x (- (* -10 x) 13/3)) 2)) 1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -10 binary32) x #s(literal -13/3 binary32)) x #s(literal -2 binary32)) x #s(literal -1 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 4 x)))
(*.f32 (fma.f32 #s(literal 4 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 4 (* 26/3 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 26/3 binary32) x #s(literal 4 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 4 (* x (+ 26/3 (* 20 x)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 20 binary32) x #s(literal 26/3 binary32)) x #s(literal 4 binary32)) x #s(literal 2 binary32)) x)
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(* x (- (* -4 x) 2))
(*.f32 (fma.f32 #s(literal -4 binary32) x #s(literal -2 binary32)) x)
(* x (- (* x (- (* -26/3 x) 4)) 2))
(*.f32 (fma.f32 (fma.f32 #s(literal -26/3 binary32) x #s(literal -4 binary32)) x #s(literal -2 binary32)) x)
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -20 binary32) x #s(literal -26/3 binary32)) x #s(literal -4 binary32)) x #s(literal -2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(* x (- (* -2 x) 2))
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x)
(* x (- (* x (- (* -2 x) 2)) 2))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x #s(literal -2 binary32)) x)
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x #s(literal -2 binary32)) x #s(literal -2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
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(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))
(log 3)
(log.f32 #s(literal 3 binary32))
(- (log 3) (* 2/3 (/ 1 x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x))
2
#s(literal 2 binary32)
(- 2 (* 2 (/ 1 x)))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x))
2
#s(literal 2 binary32)
(+ 2 (* 2 (/ 1 x)))
(-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32))
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal -2 binary32))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal -2 binary32)) x) #s(literal -2 binary32))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)

rewrite245.0ms (4.6%)

Memory
-14.8MiB live, 197.7MiB allocated
Rules
4 556×lower-*.f64
4 540×lower-*.f32
3 620×lower-/.f64
3 614×lower-/.f32
3 006×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039211
066209
1237203
21866197
08404197
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 295
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(log.f32 #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) x)
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32))
(*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32)))
(neg.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 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(*.f32 x #s(literal 2 binary32))
Outputs
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32))
(*.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 2 binary32) x)
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
(log.f32 (+.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)))
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32))) (log.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32))) (log1p.f32 (*.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))))
(+.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32))))))
(neg.f32 (log.f32 (/.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)))))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))
(*.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (-.f32 (pow.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) x))))
(*.f32 (fma.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) (-.f32 (pow.f32 x #s(literal -2 binary32)) (/.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) x)))))
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) x))) (*.f32 (-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) x)) (pow.f32 x #s(literal -2 binary32)))) (*.f32 (-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) x))))
(/.f32 (-.f32 (pow.f32 x #s(literal -2 binary32)) (pow.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal -2 binary32)))) (neg.f32 (-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32)))) (neg.f32 (fma.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) (-.f32 (pow.f32 x #s(literal -2 binary32)) (/.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) x)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal -2 binary32))) (-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) x)))
(/.f32 (fma.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32))) (+.f32 (pow.f32 x #s(literal -2 binary32)) (-.f32 (pow.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (/.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) x))))
(/.f32 (fma.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32))) (fma.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) (-.f32 (pow.f32 x #s(literal -2 binary32)) (/.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) x)) (-.f32 (pow.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) (-.f32 (pow.f32 x #s(literal -2 binary32)) (/.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) x))) (fma.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32)))))
(-.f32 (/.f32 (pow.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) x))) (/.f32 (pow.f32 x #s(literal -2 binary32)) (-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) x))))
(fma.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 x)) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(pow.f32 (/.f32 (-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) x)) (-.f32 (pow.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal -2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) (-.f32 (pow.f32 x #s(literal -2 binary32)) (/.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) x))) (fma.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32)))) #s(literal -1 binary32))
(+.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) x))
(+.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(log.f32 #s(literal -1 binary32))
(*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 x)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal -1 binary32) (neg.f32 x))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 x)))
(/.f32 #s(literal 1 binary32) x)
(pow.f32 (pow.f32 x #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (neg.f32 x)) #s(literal -1 binary32))
(pow.f32 (*.f32 x x) #s(literal -1/2 binary32))
(pow.f32 x #s(literal -1 binary32))
(exp.f32 (neg.f32 (log.f32 x)))
(neg.f32 (/.f32 #s(literal -1 binary32) x))
(log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))) (pow.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(log.f32 (pow.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)))
(log.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)))
(*.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
(*.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal -2 binary32)))
(*.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
(*.f32 #s(literal 1 binary32) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))
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eval87.0ms (1.6%)

Memory
9.6MiB live, 79.2MiB allocated
Compiler

Compiled 9 390 to 1 553 computations (83.5% saved)

prune36.0ms (0.7%)

Memory
9.3MiB live, 48.4MiB allocated
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New5109519
Fresh011
Picked235
Done000
Total51213525
Accuracy
97.9%
Counts
525 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
(*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
✓10.4%
(*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32)))
▶85.9%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
0.8%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
▶91.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
66.3%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))))
▶10.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
21.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))))
✓7.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
✓97.3%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
▶7.2%
#s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x))
▶3.9%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))))
7.8%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)))
Compiler

Compiled 361 to 271 computations (24.9% saved)

simplify216.0ms (4%)

Memory
8.5MiB live, 92.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))
cost-diff0
(log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))))
cost-diff0
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
cost-diff0
(log.f32 #s(literal -1 binary32))
cost-diff0
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32))))
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))))
cost-diff6272
(*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))
cost-diff0
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
cost-diff0
(log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
cost-diff64
(*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
cost-diff0
(neg.f32 x)
cost-diff0
#s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x))
cost-diff0
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
cost-diff0
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
cost-diff0
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
Rules
8 114×lower-fma.f64
8 110×lower-fma.f32
3 660×lower-*.f64
3 644×lower-*.f32
1 508×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056358
088341
1155339
2315339
3715339
41773339
53899339
08032330
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
#s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x))
(neg.f32 x)
x
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
(*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
x
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32))))
(log.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))
(pow.f32 x #s(literal -1/2 binary32))
x
#s(literal -1/2 binary32)
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
#s(literal 1/2 binary32)
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))
(log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))))
(neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))
(pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
#s(literal -2 binary32)
#s(literal 2 binary32)
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
#s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x))
(neg.f32 x)
x
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
(*.f32 (log1p.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
(log1p.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
x
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32))))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(log.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) x)
(pow.f32 x #s(literal -1/2 binary32))
x
#s(literal -1/2 binary32)
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
(*.f32 (-.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))))) #s(literal -1/2 binary32))
#s(literal 1/2 binary32)
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))
(log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))))
(neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))
(pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
#s(literal -2 binary32)
#s(literal 2 binary32)
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))

localize310.0ms (5.8%)

Memory
1.0MiB live, 204.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
accuracy0
(neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))
accuracy0
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))
accuracy0
(log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))))
accuracy0
(pow.f32 x #s(literal -1/2 binary32))
accuracy0
(*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))
accuracy0
(log.f32 #s(literal -1 binary32))
accuracy0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))))
accuracy0
(*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
accuracy0
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
accuracy0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
accuracy0
(log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
accuracy0
(neg.f32 x)
accuracy0
#s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x))
accuracy0
(*.f32 #s(literal 2 binary32) x)
accuracy0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
accuracy0
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
accuracy0
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
Samples
198.0ms256×0invalid
Compiler

Compiled 358 to 50 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 181.0ms
ival-pow: 89.0ms (49.1% of total)
ival-mult: 49.0ms (27% of total)
ival-log1p: 21.0ms (11.6% of total)
ival-div: 7.0ms (3.9% of total)
ival-add: 4.0ms (2.2% of total)
ival-sub: 4.0ms (2.2% of total)
ival-neg: 3.0ms (1.7% of total)
ival-pow2: 2.0ms (1.1% of total)
ival-log: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (1.6%)

Memory
-6.8MiB live, 31.2MiB allocated
Counts
21 → 240
Calls
Call 1
Inputs
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x)) (patch #s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x)) #<representation binary32>) () ())
#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (patch (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))) (patch (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())
#s(alt (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32))) (patch (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32))))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32))))) #<representation binary32>) () ())
#s(alt (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))) (patch (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))) #<representation binary32>) () ())
#s(alt (log.f32 #s(literal -1 binary32)) (patch (log.f32 #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))) #<representation binary32>) () ())
#s(alt (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) (patch (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (patch (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))) (patch (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())
#s(alt (pow.f32 x #s(literal -1/2 binary32)) (patch (pow.f32 x #s(literal -1/2 binary32)) #<representation binary32>) () ())
#s(alt (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) (patch (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #<representation binary32>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* -5/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* -10/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* -2 x))))) (taylor 0 x) (#s(alt (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) (taylor 0 x) (#s(alt (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* -2 x))))) (taylor 0 x) (#s(alt #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* -2 x))))) (taylor 0 x) (#s(alt #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x)) (patch #s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* x (- (* -2 x) 1)) (taylor 0 x) (#s(alt #s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x)) (patch #s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* x (- (* x (- (* -13/3 x) 2)) 1)) (taylor 0 x) (#s(alt #s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x)) (patch #s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -10 x) 13/3)) 2)) 1)) (taylor 0 x) (#s(alt #s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x)) (patch #s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (patch (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (patch (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* -2 x))))) (taylor 0 x) (#s(alt (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (patch (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) (taylor 0 x) (#s(alt (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (patch (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* -5/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
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#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
62.0ms
x
@0
((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg x) (* (* x (/ 2 (- 1 (pow x 3)))) (+ (* (- 1 x) x) 1)) (* 1/2 (log (+ 1 (* (* x (/ 2 (- 1 (pow x 3)))) (+ (* (- 1 x) x) 1))))) (log (+ 1 (* (* x (/ 2 (- 1 (pow x 3)))) (+ (* (- 1 x) x) 1)))) (* x (/ 2 (- 1 (pow x 3)))) (* (pow x -1/2) (pow x -1/2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (* (pow x -1/2) (pow x -1/2))) (log -1) (* 1/2 (- (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (log (+ 1 (* (/ x (- 1 x)) -2))))) (- (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (log (+ 1 (* (/ x (- 1 x)) -2)))) (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (neg (pow (* (/ x (- 1 x)) -2) 2)) (* 2 x) (pow x -1/2) (log (+ 1 (* (/ x (- 1 x)) -2))))
7.0ms
x
@-inf
((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg x) (* (* x (/ 2 (- 1 (pow x 3)))) (+ (* (- 1 x) x) 1)) (* 1/2 (log (+ 1 (* (* x (/ 2 (- 1 (pow x 3)))) (+ (* (- 1 x) x) 1))))) (log (+ 1 (* (* x (/ 2 (- 1 (pow x 3)))) (+ (* (- 1 x) x) 1)))) (* x (/ 2 (- 1 (pow x 3)))) (* (pow x -1/2) (pow x -1/2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (* (pow x -1/2) (pow x -1/2))) (log -1) (* 1/2 (- (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (log (+ 1 (* (/ x (- 1 x)) -2))))) (- (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (log (+ 1 (* (/ x (- 1 x)) -2)))) (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (neg (pow (* (/ x (- 1 x)) -2) 2)) (* 2 x) (pow x -1/2) (log (+ 1 (* (/ x (- 1 x)) -2))))
4.0ms
x
@inf
((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg x) (* (* x (/ 2 (- 1 (pow x 3)))) (+ (* (- 1 x) x) 1)) (* 1/2 (log (+ 1 (* (* x (/ 2 (- 1 (pow x 3)))) (+ (* (- 1 x) x) 1))))) (log (+ 1 (* (* x (/ 2 (- 1 (pow x 3)))) (+ (* (- 1 x) x) 1)))) (* x (/ 2 (- 1 (pow x 3)))) (* (pow x -1/2) (pow x -1/2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (* (pow x -1/2) (pow x -1/2))) (log -1) (* 1/2 (- (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (log (+ 1 (* (/ x (- 1 x)) -2))))) (- (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (log (+ 1 (* (/ x (- 1 x)) -2)))) (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (neg (pow (* (/ x (- 1 x)) -2) 2)) (* 2 x) (pow x -1/2) (log (+ 1 (* (/ x (- 1 x)) -2))))

simplify243.0ms (4.5%)

Memory
-10.4MiB live, 108.0MiB allocated
Algorithm
1×egg-herbie
Rules
7 892×lower-fma.f64
7 892×lower-fma.f32
3 664×lower-+.f64
3 664×lower-+.f32
3 254×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04032140
111102072
227502030
365702022
081571898
Stop Event
1×iter limit
1×node limit
Counts
240 → 236
Calls
Call 1
Inputs
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* -1 x)
(* x (- (* -2 x) 1))
(* x (- (* x (- (* -13/3 x) 2)) 1))
(* x (- (* x (- (* x (- (* -10 x) 13/3)) 2)) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(* 2 x)
(* x (+ 2 (* 2 (pow x 3))))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 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 x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* -2 x)
(* x (- (* -4 x) 2))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(* -2 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* 1/2 (log 3))
(+ (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* 1/2 (log 3)) (+ (/ 2/9 (pow x 2)) (* 1/3 (/ 1 x))))
(+ (* 1/2 (log 3)) (+ (/ 2/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 13/81 (/ 1 (pow x 3))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (/ 1 x))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(* 1/2 (log 3))
(+ (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* 1/2 (log 3)) (+ (/ 2/9 (pow x 2)) (* 1/3 (/ 1 x))))
(+ (* -1 (/ (- (* -1 (/ (+ 2/9 (* 13/81 (/ 1 x))) x)) 1/3) x)) (* 1/2 (log 3)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2))
(* -1 (/ (pow (sqrt -1) 2) x))
(* -1 (/ (pow (sqrt -1) 2) x))
(* -1 (/ (pow (sqrt -1) 2) x))
(* -1 (/ (pow (sqrt -1) 2) x))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/2 (log -1))
(+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 (log -1)))
(+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 (log -1)))
(+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 (log -1)))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
Outputs
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* -1 x)
(neg.f32 x)
(* x (- (* -2 x) 1))
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -1 binary32)) x)
(* x (- (* x (- (* -13/3 x) 2)) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal -13/3 binary32) x #s(literal -2 binary32)) x #s(literal -1 binary32)) x)
(* x (- (* x (- (* x (- (* -10 x) 13/3)) 2)) 1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -10 binary32) x #s(literal -13/3 binary32)) x #s(literal -2 binary32)) x #s(literal -1 binary32)) x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 (pow x 3))))
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 4 binary32)) x))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) #s(literal 2 binary32))) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* -4 (pow x 2))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
(* (pow x 2) (- (* -8 x) 4))
(*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -20 binary32) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -48 binary32) x #s(literal -20 binary32)) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) x)
(* -4 (pow x 2))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
(* (pow x 2) (- (* -8 x) 4))
(*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -12 binary32) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
(*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) x #s(literal -12 binary32)) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(sqrt (/ 1 x))
(sqrt.f32 (/.f32 #s(literal 1 binary32) x))
(sqrt (/ 1 x))
(sqrt.f32 (/.f32 #s(literal 1 binary32) x))
(sqrt (/ 1 x))
(sqrt.f32 (/.f32 #s(literal 1 binary32) x))
(sqrt (/ 1 x))
(sqrt.f32 (/.f32 #s(literal 1 binary32) x))
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(* x (- (* -4 x) 2))
(*.f32 (fma.f32 #s(literal -4 binary32) x #s(literal -2 binary32)) x)
(* x (- (* x (- (* -26/3 x) 4)) 2))
(*.f32 (fma.f32 (fma.f32 #s(literal -26/3 binary32) x #s(literal -4 binary32)) x #s(literal -2 binary32)) x)
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -20 binary32) x #s(literal -26/3 binary32)) x #s(literal -4 binary32)) x #s(literal -2 binary32)) x)
(* 1/2 (log 3))
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) x)) (/.f32 #s(literal 1/3 binary32) x))
(log 3)
(log.f32 #s(literal 3 binary32))
(- (log 3) (* 2/3 (/ 1 x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x) x) (-.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal 3 binary32))))
2
#s(literal 2 binary32)
(- 2 (* 2 (/ 1 x)))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)))
(* -2 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32))
(* (pow x 3) (- (* 2 (/ 1 x)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* 1/2 (log 3))
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) x))
(+ (* 1/2 (log 3)) (+ (/ 2/9 (pow x 2)) (* 1/3 (/ 1 x))))
(-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 2/9 binary32) (*.f32 x x))) (/.f32 #s(literal -1/3 binary32) x))
(+ (* 1/2 (log 3)) (+ (/ 2/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 13/81 (/ 1 (pow x 3))))))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (+.f32 (-.f32 (/.f32 #s(literal 13/81 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/3 binary32) x)) (/.f32 #s(literal 2/9 binary32) (*.f32 x x))))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
2
#s(literal 2 binary32)
(- 2 (* 2 (/ 1 x)))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)))
(* 1/2 (log 3))
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) x)) (/.f32 #s(literal 1/3 binary32) x))
(log 3)
(log.f32 #s(literal 3 binary32))
(- (log 3) (* 2/3 (/ 1 x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x) x) (-.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal 3 binary32))))
(/ -2 (pow x 2))
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rewrite299.0ms (5.6%)

Memory
23.7MiB live, 140.2MiB allocated
Rules
4 956×lower-*.f64
4 940×lower-*.f32
3 776×lower-fma.f64
3 772×lower-fma.f32
2 842×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056282
088277
1336243
22492235
08854235
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 415
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
#s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x))
(neg.f32 x)
(*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
(log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32))))
(log.f32 #s(literal -1 binary32))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))
(log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))))
(neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) x)
(pow.f32 x #s(literal -1/2 binary32))
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))
Outputs
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(log.f32 (+.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)))
(-.f32 (log.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)))) (log1p.f32 (neg.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32))) (log.f32 (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32))) (log1p.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (neg.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))
(+.f32 (log1p.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -2 binary32))))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (-.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -3 binary32)) #s(literal 1 binary32)))))
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))
(*.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32))
(*.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (neg.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(/.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(/.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))))
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))))
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(neg.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (neg.f32 x))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 #s(literal 0 binary32) x))
(/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))
(-.f32 #s(literal 0 binary32) x)
(+.f32 #s(literal 0 binary32) (neg.f32 x))
(neg.f32 x)
(*.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) x)
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x))
(*.f32 x (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(/.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)))
(/.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) x)))) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)))
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(-.f32 (log.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 3 binary32)))) (log1p.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
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(-.f32 (log.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)))))
(-.f32 (+.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 0 binary32)) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32)) (+.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))) (/.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 2 binary32)) (+.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) (+.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) (+.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32)))))
(-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 3 binary32))) (log.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 3 binary32))) (log1p.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 4 binary32)))) (log.f32 (*.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))))))
(-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 6 binary32))) (log.f32 (*.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 4 binary32))) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))))))
(-.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -8 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -3 binary32)) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
(-.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) (/.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
(-.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 0 binary32))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))) #s(literal 0 binary32))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) (+.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32)))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal -2 binary32)) #s(literal 0 binary32))
(fma.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal -1 binary32) (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))))
(fma.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 0 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 2 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) (-.f32 (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) (+.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32))) (-.f32 (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 1 binary32))
(+.f32 (log.f32 (/.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32) #s(literal 1 binary32)) (fma.f32 #s(literal -8 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -3 binary32)) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))
(+.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
(+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) #s(literal 0 binary32))
(+.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) (log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -8 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -3 binary32)) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32) #s(literal 1 binary32)))))
(neg.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
(log1p.f32 (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal -2 binary32)))
(log1p.f32 (neg.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))

eval76.0ms (1.4%)

Memory
-13.3MiB live, 178.5MiB allocated
Compiler

Compiled 15 822 to 2 085 computations (86.8% saved)

prune29.0ms (0.5%)

Memory
24.7MiB live, 63.2MiB allocated
Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New6717678
Fresh145
Picked235
Done033
Total67417691
Accuracy
97.9%
Counts
691 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.3%
(*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
✓10.4%
(*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32)))
90.1%
(*.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 4 binary32))) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 6 binary32)) #s(literal 1 binary32))))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
50.8%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 4 binary32))) (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
93.2%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
▶93.8%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
0.8%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
10.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))
✓91.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
▶91.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))))
▶21.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))))
91.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
✓7.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
✓97.3%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
✓7.2%
#s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x))
✓3.9%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))))
▶7.8%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)))
Compiler

Compiled 591 to 401 computations (32.1% saved)

simplify294.0ms (5.5%)

Memory
-23.7MiB live, 187.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))))
cost-diff0
(*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))
cost-diff0
(log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))))
cost-diff0
(log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))))
cost-diff64
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))
cost-diff3232
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))
cost-diff0
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)
cost-diff0
(log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
cost-diff0
(*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
cost-diff64
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
cost-diff0
(/.f32 #s(literal 1 binary32) x)
cost-diff0
#s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)))
cost-diff0
(neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))
cost-diff0
(log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))))
cost-diff0
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
Rules
8 186×lower-fma.f64
8 184×lower-fma.f32
4 054×lower-*.f64
4 030×lower-*.f32
1 362×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065522
0104514
1169514
2345514
3825514
41923514
53455514
08022493
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
#s(literal 1/2 binary32)
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))
(log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))))
(neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))
(pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
#s(literal -2 binary32)
#s(literal 2 binary32)
#s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))
(*.f32 #s(literal -2 binary32) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)))
#s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
(log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
x
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 9 binary32))
#s(literal 9 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))
(+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))
(pow.f32 x #s(literal 6 binary32))
#s(literal 6 binary32)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
Outputs
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
(*.f32 #s(literal -1/2 binary32) (-.f32 #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)) (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) x)) x) #s(literal 2 binary32))))))
#s(literal 1/2 binary32)
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) x)) x) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))
(log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))))
(log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) x)) x) #s(literal 2 binary32))))
(neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))
(neg.f32 (pow.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) x)) x) #s(literal 2 binary32)))
(pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) x)) x) #s(literal 2 binary32))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
(/.f32 x (-.f32 #s(literal 1 binary32) x))
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
#s(literal -2 binary32)
#s(literal 2 binary32)
#s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))
(*.f32 #s(literal -2 binary32) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)))
#s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
(*.f32 (log1p.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(literal 1/2 binary32))
(log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(log1p.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))))
(*.f32 (log1p.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))))
(log1p.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
x
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))))
(log1p.f32 (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))))))
(*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))))
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 9 binary32))
#s(literal 9 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))
(+.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32)))
(+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))
(+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 6 binary32))
#s(literal 6 binary32)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)

localize361.0ms (6.8%)

Memory
13.0MiB live, 285.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f32 #s(literal 2 binary32) x)
accuracy0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))))
accuracy0
(log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))))
accuracy0
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
accuracy0
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))
accuracy0
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
accuracy0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))))
accuracy0
(log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))))
accuracy0
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)
accuracy0
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
accuracy0
(*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
accuracy0
(log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
accuracy0
(/.f32 #s(literal 1 binary32) x)
accuracy0
#s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))
accuracy0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)))
accuracy0
(*.f32 #s(literal -2 binary32) x)
accuracy0
(neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))
accuracy0
(log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))))
accuracy0
#s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))
Samples
324.0ms256×0invalid
Compiler

Compiled 508 to 55 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-pow2: 125.0ms (62.3% of total)
ival-mult: 25.0ms (12.5% of total)
ival-pow: 17.0ms (8.5% of total)
ival-div: 10.0ms (5% of total)
ival-log1p: 10.0ms (5% of total)
ival-add: 5.0ms (2.5% of total)
ival-sub: 5.0ms (2.5% of total)
ival-log: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series30.0ms (0.6%)

Memory
2.2MiB live, 43.0MiB allocated
Counts
24 → 288
Calls
Call 1
Inputs
#s(alt (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))) #<representation binary32>) () ())
#s(alt (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))) (patch (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))) #<representation binary32>) () ())
#s(alt (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (patch (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))) (patch (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)) (patch #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) x) (patch (/.f32 #s(literal 1 binary32) x) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())
#s(alt (*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32)) (patch (*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (patch (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (patch (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) #<representation binary32>) () ())
#s(alt (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))))) (patch (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))) (patch (log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))) (patch (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (patch (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)) (patch #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal -2 binary32) x) (patch (*.f32 #s(literal -2 binary32) x) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 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) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))) (patch (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))) (patch (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))) (patch (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))) #<representation binary32>) () ())) ())
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#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((* 1/2 (- (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (log (+ 1 (* (/ x (- 1 x)) -2))))) (- (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (log (+ 1 (* (/ x (- 1 x)) -2)))) (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (neg (pow (* (/ x (- 1 x)) -2) 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (/ 1 x) (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))) (* (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))))) 1/2) (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))))) (* (+ (* (- 1 x) x) 1) x) (pow (+ (* (- 1 x) x) 1) 1) (* (* 2 (/ x (- 1 (pow x 3)))) (pow (+ (* (- 1 x) x) 1) 1)) (* 1/2 (log (+ 1 (* (* 2 (/ x (- 1 (pow x 3)))) (pow (+ (* (- 1 x) x) 1) 1))))) (log (+ 1 (* (* 2 (/ x (- 1 (pow x 3)))) (pow (+ (* (- 1 x) x) 1) 1)))) (* 1/2 (log (+ 1 (* (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 9))) (+ (+ 1 (pow x 6)) (pow x 3)))))) (log (+ 1 (* (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 9))) (+ (+ 1 (pow x 6)) (pow x 3))))) (* (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 9))) (+ (+ 1 (pow x 6)) (pow x 3))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 9))) (log (+ 1 (* (/ x (- 1 x)) -2))) (* -2 x) (* 2 (/ x (- 1 (pow x 3)))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 2 x))
4.0ms
x
@-inf
((* 1/2 (- (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (log (+ 1 (* (/ x (- 1 x)) -2))))) (- (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (log (+ 1 (* (/ x (- 1 x)) -2)))) (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (neg (pow (* (/ x (- 1 x)) -2) 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (/ 1 x) (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))) (* (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))))) 1/2) (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))))) (* (+ (* (- 1 x) x) 1) x) (pow (+ (* (- 1 x) x) 1) 1) (* (* 2 (/ x (- 1 (pow x 3)))) (pow (+ (* (- 1 x) x) 1) 1)) (* 1/2 (log (+ 1 (* (* 2 (/ x (- 1 (pow x 3)))) (pow (+ (* (- 1 x) x) 1) 1))))) (log (+ 1 (* (* 2 (/ x (- 1 (pow x 3)))) (pow (+ (* (- 1 x) x) 1) 1)))) (* 1/2 (log (+ 1 (* (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 9))) (+ (+ 1 (pow x 6)) (pow x 3)))))) (log (+ 1 (* (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 9))) (+ (+ 1 (pow x 6)) (pow x 3))))) (* (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 9))) (+ (+ 1 (pow x 6)) (pow x 3))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 9))) (log (+ 1 (* (/ x (- 1 x)) -2))) (* -2 x) (* 2 (/ x (- 1 (pow x 3)))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 2 x))
3.0ms
x
@0
((* 1/2 (- (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (log (+ 1 (* (/ x (- 1 x)) -2))))) (- (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (log (+ 1 (* (/ x (- 1 x)) -2)))) (log (+ 1 (neg (pow (* (/ x (- 1 x)) -2) 2)))) (neg (pow (* (/ x (- 1 x)) -2) 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (/ 1 x) (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))) (* (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))))) 1/2) (log (+ 1 (* (* (+ (* (- 1 x) x) 1) x) (/ 2 (- 1 (pow x 3)))))) (* (+ (* (- 1 x) x) 1) x) (pow (+ (* (- 1 x) x) 1) 1) (* (* 2 (/ x (- 1 (pow x 3)))) (pow (+ (* (- 1 x) x) 1) 1)) (* 1/2 (log (+ 1 (* (* 2 (/ x (- 1 (pow x 3)))) (pow (+ (* (- 1 x) x) 1) 1))))) (log (+ 1 (* (* 2 (/ x (- 1 (pow x 3)))) (pow (+ (* (- 1 x) x) 1) 1)))) (* 1/2 (log (+ 1 (* (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 9))) (+ (+ 1 (pow x 6)) (pow x 3)))))) (log (+ 1 (* (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 9))) (+ (+ 1 (pow x 6)) (pow x 3))))) (* (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 9))) (+ (+ 1 (pow x 6)) (pow x 3))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 9))) (log (+ 1 (* (/ x (- 1 x)) -2))) (* -2 x) (* 2 (/ x (- 1 (pow x 3)))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 2 x))

simplify192.0ms (3.6%)

Memory
-11.9MiB live, 184.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 220×lower-fma.f64
9 220×lower-fma.f32
4 866×lower-+.f64
4 866×lower-+.f32
3 936×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03872597
110952508
228082469
365752443
087082291
Stop Event
1×iter limit
1×node limit
Counts
288 → 282
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(/ 1 x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 (* -1 x)))))
(* x (+ 1 (* x (+ 1 (* -1 x)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(+ 1 (* x (+ 1 (* -1 x))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* -2 x)
(* x (- (* -4 x) 2))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 2 x)
(* x (+ 2 (* 2 (pow x 3))))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (/ 1 x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 x) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(/ 2 (pow x 6))
(/ (- 2 (* 2 (/ 1 x))) (pow x 6))
(/ (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) (pow x 6))
(/ (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) (pow x 6))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (/ 1 x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(/ 2 (pow x 6))
(/ (- 2 (* 2 (/ 1 x))) (pow x 6))
(/ (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) (pow x 6))
(/ (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) (pow x 6))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* -4 (pow x 2))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
(* (pow x 2) (- (* -8 x) 4))
(*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -20 binary32) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -48 binary32) x #s(literal -20 binary32)) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) x)
(* -4 (pow x 2))
(*.f32 #s(literal -4 binary32) (*.f32 x x))
(* (pow x 2) (- (* -8 x) 4))
(*.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -12 binary32) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
(*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) x #s(literal -12 binary32)) x #s(literal -8 binary32)) x #s(literal -4 binary32)) x) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
x
(* x (+ 1 x))
(fma.f32 x x x)
(* x (+ 1 (* x (+ 1 (* -1 x)))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)
(* x (+ 1 (* x (+ 1 (* -1 x)))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)
1
#s(literal 1 binary32)
(+ 1 x)
(+.f32 #s(literal 1 binary32) x)
(+ 1 (* x (+ 1 (* -1 x))))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(+ 1 (* x (+ 1 (* -1 x))))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(* x (- (* -4 x) 2))
(*.f32 (fma.f32 #s(literal -4 binary32) x #s(literal -2 binary32)) x)
(* x (- (* x (- (* -26/3 x) 4)) 2))
(*.f32 (fma.f32 (fma.f32 #s(literal -26/3 binary32) x #s(literal -4 binary32)) x #s(literal -2 binary32)) x)
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -20 binary32) x #s(literal -26/3 binary32)) x #s(literal -4 binary32)) x #s(literal -2 binary32)) x)
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 (pow x 3))))
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 4 binary32)) x))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) #s(literal 2 binary32))) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 1/2 (- (log -3) (log 3)))
(*.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) #s(literal 1/2 binary32))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(fma.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x)))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
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(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x))
(* 1/2 (log 3))
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))
(log 3)
(log.f32 #s(literal 3 binary32))
(- (log 3) (* 2/3 (/ 1 x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x))
(* -1 (pow x 3))
(neg.f32 (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (pow x 2))
(*.f32 (neg.f32 x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f32 (-.f32 #s(literal 1 binary32) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
2
#s(literal 2 binary32)
(- 2 (* 2 (/ 1 x)))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x))
(* 1/2 (log 3))
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))
(log 3)
(log.f32 #s(literal 3 binary32))
(- (log 3) (* 2/3 (/ 1 x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x))
(* 1/2 (log 3))
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))
(log 3)
(log.f32 #s(literal 3 binary32))
(- (log 3) (* 2/3 (/ 1 x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x))
2
#s(literal 2 binary32)
(- 2 (* 2 (/ 1 x)))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x))
(/ 2 (pow x 6))
(/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32)))
(/ (- 2 (* 2 (/ 1 x))) (pow x 6))
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (pow.f32 x #s(literal 6 binary32)))
(/ (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) (pow x 6))
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) (pow.f32 x #s(literal 6 binary32)))
(/ (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) (pow x 6))
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) (pow.f32 x #s(literal 6 binary32)))
(log 3)
(log.f32 #s(literal 3 binary32))
(+ (log 3) (* 2/3 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal 3 binary32)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) x) (/.f32 #s(literal 4/9 binary32) (*.f32 x x))) (log.f32 #s(literal 3 binary32)))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 26/81 binary32) x) #s(literal 4/9 binary32)) x)) x))
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(/ -2 (pow x 2))
(/.f32 (/.f32 #s(literal -2 binary32) x) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) (*.f32 x x))
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) (*.f32 x x))
(* -2 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32))
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)

rewrite285.0ms (5.3%)

Memory
5.0MiB live, 294.6MiB allocated
Rules
5 128×lower-*.f64
5 104×lower-*.f32
3 120×lower-fma.f64
3 118×lower-fma.f32
3 112×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065398
0104390
1381362
23095362
09049352
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 383
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))
(log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))))
(neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)))
#s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) x)
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
(log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)
(pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))))
(log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))))
(log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))))
#s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))
(*.f32 #s(literal -2 binary32) x)
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
Outputs
(*.f32 (-.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
(/.f32 (*.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32)) (pow.f32 #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (+.f32 #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)) (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32))) #s(literal 3 binary32)) (pow.f32 #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (fma.f32 #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)) (+.f32 #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)) (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32)))) (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32)) (pow.f32 #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)) #s(literal 2 binary32)))) (+.f32 #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)) (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32))) #s(literal 3 binary32)) (pow.f32 #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)) #s(literal 3 binary32)))) (fma.f32 #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)) (+.f32 #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)) (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32)))) (pow.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32))))
(fma.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32))) #s(literal 1/2 binary32) (*.f32 (neg.f32 #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32))) (*.f32 #s(literal 1/2 binary32) (neg.f32 #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x)))))
(+.f32 (*.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32))) #s(literal 1/2 binary32)) (*.f32 (neg.f32 #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))) #s(literal 1/2 binary32)))
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(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))
(*.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))))))
(*.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))))
(/.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))))
(/.f32 (neg.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))))))
(/.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))))
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))))
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))))
(neg.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))))))
#s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))
(*.f32 (neg.f32 x) #s(literal 2 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) (neg.f32 x))
(*.f32 #s(literal -2 binary32) x)
(*.f32 x #s(literal -2 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) x))
(neg.f32 (*.f32 #s(literal 2 binary32) x))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) x)))
(/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/2 binary32)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) x)) #s(literal -1 binary32))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))

eval92.0ms (1.7%)

Memory
-1.3MiB live, 190.4MiB allocated
Compiler

Compiled 15 775 to 2 133 computations (86.5% saved)

prune58.0ms (1.1%)

Memory
12.3MiB live, 88.6MiB allocated
Pruning

23 alts after pruning (13 fresh and 10 done)

PrunedKeptTotal
New6587665
Fresh066
Picked145
Done066
Total65923682
Accuracy
98.0%
Counts
682 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.3%
(*.f32 (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
✓10.4%
(*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32)))
92.8%
(*.f32 #s(literal 1/2 binary32) (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 6 binary32)))) (log1p.f32 (+.f32 (pow.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 4 binary32)) (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
90.1%
(*.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 4 binary32))) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 6 binary32)) #s(literal 1 binary32))))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
94.9%
(*.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 4 binary32))) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32))) (+.f32 (pow.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 6 binary32)) #s(literal 1 binary32))))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
50.8%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 4 binary32))) (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
21.2%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 6 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 4 binary32)) (*.f32 #s(literal 0 binary32) (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))))))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
93.2%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
92.8%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (*.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))))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
✓93.8%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
4.7%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 #s(approx (neg (pow (* (/ x (- 1 x)) -2) 2)) (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 12 binary32) x) #s(literal 8 binary32)) x)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
0.8%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
10.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))
10.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 (*.f32 x x) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))))) (*.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))))))))
✓91.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
✓91.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))))
✓21.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))))
91.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
✓7.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
✓97.3%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
✓7.2%
#s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x))
✓3.9%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))))
✓7.8%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)))
Compiler

Compiled 1 166 to 547 computations (53.1% saved)

regimes156.0ms (2.9%)

Memory
-22.8MiB live, 95.5MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 0 binary32)))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 #s(approx (neg (pow (* (/ x (- 1 x)) -2) 2)) (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 12 binary32) x) #s(literal 8 binary32)) x)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (*.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))))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (*.f32 #s(approx (* (+ (* (- 1 x) x) 1) x) (fma.f32 x x x)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 1 binary32) #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -1/2 binary32)) (pow.f32 x #s(literal -1/2 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 (*.f32 x x) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))))) (*.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))))))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 4 binary32))) (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 2 binary32))))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 4 binary32))) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal -4 binary32))) (+.f32 (pow.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 6 binary32)) #s(literal 1 binary32))))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 6 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 4 binary32)) (*.f32 #s(literal 0 binary32) (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))))))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 6 binary32)))) (log1p.f32 (+.f32 (pow.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 4 binary32)) (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))))) #s(approx (log (+ 1 (* (/ x (- 1 x)) -2))) (*.f32 #s(literal -2 binary32) x))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 4 binary32))) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 6 binary32)) #s(literal 1 binary32))))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))
Outputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
Calls

4 calls:

123.0ms
x
13.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
10.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
9.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
Results
AccuracySegmentsBranch
97.3%1x
97.3%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
97.3%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
97.3%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes6.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x))
Outputs
#s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x))
Calls

4 calls:

1.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
1.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
1.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
1.0ms
x
Results
AccuracySegmentsBranch
7.2%1x
7.2%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
7.2%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
7.2%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify61.0ms (1.1%)

Memory
-33.2MiB live, 59.0MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative-binary32-*.f32
2×1-exp-binary32-exp.f32
2×sub-neg-binary32-neg.f32-+.f32--.f32
2×neg-mul-1-binary32-*.f32-neg.f32
2×1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02536
13136
23336
33436
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x))
Outputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32))
#s(approx (* 1/2 (+ (* -1 (neg (log (+ 1 (* -2 (/ x (- 1 x))))))) 0)) (neg.f32 x))

soundness760.0ms (14.2%)

Memory
34.3MiB live, 385.9MiB allocated
Rules
12 938×lower-fma.f64
12 938×lower-fma.f32
10 834×lower-fma.f64
10 834×lower-fma.f32
4 534×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01528
15428
240428
3559528
0863628
0106404
1312390
2799382
32150380
44030380
56476380
08265358
03391992
19801934
223601903
364321898
081501771
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 16 to 15 computations (6.3% saved)

preprocess39.0ms (0.7%)

Memory
-16.9MiB live, 56.6MiB allocated
Compiler

Compiled 38 to 34 computations (10.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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