Rust f32::atanh

Time bar (total: 5.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.6%0.4%0%0%0%0
0%0%99.6%0.4%0%0%0%1
0%0%99.6%0.4%0%0%0%2
0%0%49.8%0.4%0%49.8%0%3
50%24.9%24.9%0.4%0%49.8%0%4
75%37.4%12.5%0.4%0%49.8%0%5
87.5%43.6%6.2%0.4%0%49.8%0%6
93.8%46.7%3.1%0.4%0%49.8%0%7
96.9%48.2%1.6%0.4%0%49.8%0%8
98.4%49%0.8%0.4%0%49.8%0%9
99.2%49.4%0.4%0.4%0%49.8%0%10
99.6%49.4%0.2%0.4%0%50%0%11
99.8%49.5%0.1%0.4%0%50%0%12
Compiler

Compiled 4 to 4 computations (0% saved)

sample618.0ms (11.5%)

Memory
-7.2MiB live, 589.9MiB allocated
Samples
407.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 194.0ms
ival-atanh: 186.0ms (95.7% of total)
ival-true: 5.0ms (2.6% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

explain85.0ms (1.6%)

Memory
31.8MiB live, 149.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
430-43(-2.416452844045125e-6)(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
00-0-#s(literal 1 binary32)
00-0-#s(literal 2 binary32)
00-0-#s(literal 1/2 binary32)
00-0-(-.f32 #s(literal 1 binary32) x)
00-0-(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
00-0-(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
00-0-(*.f32 #s(literal 2 binary32) x)
00-0-x
Confusion
Predicted +Predicted -
+053
-0203
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+0053
-00203
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
41.0ms512×0valid
Compiler

Compiled 127 to 40 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (36.1% of total)
ival-sub: 4.0ms (20.6% of total)
ival-log1p: 4.0ms (20.6% of total)
ival-div: 3.0ms (15.5% of total)
exact: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess37.0ms (0.7%)

Memory
-17.1MiB live, 27.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1107
2147
3177
4217
5287
6357
0910
01510
12410
23110
33710
44410
55810
69610
716310
821510
924310
1025410
1126410
1226410
026410
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) #s(literal 1/2 binary32))
Compiler

Compiled 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
Compiler

Compiled 10 to 9 computations (10% saved)

simplify9.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01535
12435
23135
33735
44435
55835
69635
716335
821535
924335
1025435
1126435
1226435
026435
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32)))))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)

localize35.0ms (0.7%)

Memory
-26.1MiB live, 50.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f32 #s(literal 2 binary32) x)
accuracy0.0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
accuracy0.06640625
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
accuracy2.275136933241098
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
Samples
26.0ms256×0valid
Compiler

Compiled 76 to 20 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 3.0ms (28.8% of total)
ival-mult: 3.0ms (28.8% of total)
ival-log1p: 2.0ms (19.2% of total)
ival-sub: 1.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
4 → 26
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
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (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 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
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))

simplify214.0ms (4%)

Memory
-9.1MiB live, 148.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106302
1312290
2799282
32154280
44038280
56510280
08130260
Stop Event
iter limit
node limit
Counts
26 → 25
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))))))))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (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 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 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)
(* 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))
(* 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)))
(+ (* -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) (* -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))
(- (* -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)))

rewrite229.0ms (4.3%)

Memory
6.5MiB live, 203.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01528
15428
240428
3559728
0863928
Stop Event
iter limit
node limit
iter limit
Counts
4 → 162
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)
Outputs
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 #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))))))))
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(*.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))

eval150.0ms (2.8%)

Memory
6.6MiB live, 54.7MiB allocated
Compiler

Compiled 4 257 to 822 computations (80.7% saved)

prune7.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1797186
Fresh000
Picked101
Done000
Total1807187
Accuracy
97.2%
Counts
187 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32)))))
63.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
73.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
12.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.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))))))
97.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
97.1%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
6.4%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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)))
Compiler

Compiled 316 to 218 computations (31% saved)

simplify253.0ms (4.7%)

Memory
-21.8MiB live, 90.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
042368
073362
1120362
2230362
3585362
41666362
54653362
67435362
08064348
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
#s(literal 2 binary32)
x
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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)))
(-.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))
(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))))
(log.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1/3 binary32)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(/.f32 #s(literal -1 binary32) x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #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))))))
#s(literal 1/2 binary32)
(log1p.f32 (*.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 #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 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(literal -1 binary32)
(+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(*.f32 (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)
(*.f32 x #s(literal 2 binary32))
#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)))
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
x
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))
#s(literal 2 binary32)
x
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal -1/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(-.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))
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal -1/3 binary32) (pow.f32 x #s(literal 3 binary32))))
(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))))
(log.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1/3 binary32)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(/.f32 #s(literal -1 binary32) x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal -2 binary32)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(log1p.f32 (*.f32 (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal -2 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 (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal -2 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)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.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 (log1p.f32 (*.f32 (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal -2 binary32)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (*.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)))))
(log1p.f32 (*.f32 (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal -2 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 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal -2 binary32)))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32))))
(/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))
#s(literal -1 binary32)
(+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))
(-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 3 binary32))
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 (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)
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)

localize217.0ms (4.1%)

Memory
25.2MiB live, 106.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f32 x #s(literal 2 binary32))
accuracy0.0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.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))))))
accuracy1.4456587900043973
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
accuracy1.814571786506587
(log1p.f32 (*.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)))))
accuracy0.0
(*.f32 x #s(literal 2 binary32))
accuracy0.0
(*.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))))))
accuracy3.3253918369639064
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
accuracy6.568699132477785
(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)))))
accuracy0.0
(-.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))
accuracy0.0
(log.f32 #s(literal -1 binary32))
accuracy0.0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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)))
accuracy8.222656092489402
(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))))
accuracy0.0
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
accuracy2.742788087469686
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))
accuracy7.792659330579714
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
accuracy8.939820499473315
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
accuracy0.0
(*.f32 #s(literal 2 binary32) x)
accuracy0.0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
accuracy0.0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
Samples
178.0ms256×0invalid
Compiler

Compiled 715 to 83 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-mult: 128.0ms (79.2% of total)
ival-div: 8.0ms (5% of total)
ival-add: 6.0ms (3.7% of total)
ival-log1p: 5.0ms (3.1% of total)
ival-sub: 4.0ms (2.5% of total)
const: 4.0ms (2.5% of total)
ival-pow: 4.0ms (2.5% 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)

series93.0ms (1.7%)

Memory
-17.6MiB live, 18.7MiB allocated
Counts
22 → 75
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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)))
(-.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))
(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))))
(log.f32 #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 #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 (/.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 #s(literal 1/2 binary32) (log1p.f32 (*.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))))))
(log1p.f32 (*.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)))))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(*.f32 x #s(literal 2 binary32))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(/ 1/3 (pow x 3))
(/ (+ 1/3 (pow x 2)) (pow x 3))
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3))
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* x (+ 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 (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 2 (/ 1 x))))
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(+ (* 1/2 (log -1)) (* 1/3 (/ 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))
(* 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 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
Calls

3 calls:

TimeVariablePointExpression
77.0ms
x
@inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* (+ (* 2 x) 2) x) 2) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (- (+ (* (log -1) 1/2) (/ 1/3 (pow x 3))) (/ -1 x)) (+ (* (log -1) 1/2) (/ 1/3 (pow x 3))) (log -1) (* (+ (* (- 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))) (* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2))) (* 1/2 (log (+ 1 (* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)))))) (log (+ 1 (* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2))))) (+ (* 2 x) 2) (+ (* (+ (* 2 x) 2) x) 2) (+ (* (- 1 x) x) 1) (* 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)) (* (+ (* (+ (* 2 x) 2) x) 2) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (- (+ (* (log -1) 1/2) (/ 1/3 (pow x 3))) (/ -1 x)) (+ (* (log -1) 1/2) (/ 1/3 (pow x 3))) (log -1) (* (+ (* (- 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))) (* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2))) (* 1/2 (log (+ 1 (* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)))))) (log (+ 1 (* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2))))) (+ (* 2 x) 2) (+ (* (+ (* 2 x) 2) x) 2) (+ (* (- 1 x) x) 1) (* x 2))
7.0ms
x
@-inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* (+ (* 2 x) 2) x) 2) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (- (+ (* (log -1) 1/2) (/ 1/3 (pow x 3))) (/ -1 x)) (+ (* (log -1) 1/2) (/ 1/3 (pow x 3))) (log -1) (* (+ (* (- 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))) (* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2))) (* 1/2 (log (+ 1 (* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)))))) (log (+ 1 (* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2))))) (+ (* 2 x) 2) (+ (* (+ (* 2 x) 2) x) 2) (+ (* (- 1 x) x) 1) (* x 2))

simplify297.0ms (5.5%)

Memory
2.2MiB live, 118.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0256780
1781751
21996737
34461733
08470666
Stop Event
iter limit
node limit
Counts
75 → 74
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))))))))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(/ 1/3 (pow x 3))
(/ (+ 1/3 (pow x 2)) (pow x 3))
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3))
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* x (+ 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 (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 2 (/ 1 x))))
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(+ (* 1/2 (log -1)) (* 1/3 (/ 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))
(* 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 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) 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 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) x)
(/ 1/3 (pow x 3))
(/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 1/3 (pow x 2)) (pow x 3))
(/.f32 (fma.f32 x x #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3))
(/.f32 (fma.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3))
(/.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32)) (log.f32 #s(literal -1 binary32)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* 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 (+ 1 (* -5/3 (pow x 2))))
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 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 (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
2
#s(literal 2 binary32)
(+ 2 (* 2 x))
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 x)
(+.f32 x #s(literal 1 binary32))
(+ 1 (* x (+ 1 (* -1 x))))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32)))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (-.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) 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 (* 2 (/ 1 x))))
(*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x)
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3))))
(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))))
(* -2 (pow x 3))
(*.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (* 2 (/ 1 x)) 2))
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) (*.f32 x x))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 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 (* 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 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x)) (/.f32 #s(literal 2 binary32) x))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))
(* 2 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 2 binary32))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x)
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32))
(* -1 (pow x 2))
(*.f32 (neg.f32 x) x)
(* (pow x 2) (- (/ 1 x) 1))
(-.f32 x (*.f32 x x))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(+ (* -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) (* -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))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (-.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) #s(literal 2 binary32)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) (*.f32 x x))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 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 (* -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))

rewrite268.0ms (5%)

Memory
23.8MiB live, 352.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042287
073281
1287281
22492281
09319273
Stop Event
iter limit
node limit
iter limit
Counts
22 → 577
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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)))
(-.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))
(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))))
(log.f32 #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 #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 (/.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 #s(literal 1/2 binary32) (log1p.f32 (*.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))))))
(log1p.f32 (*.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)))))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(*.f32 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)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
(log.f32 (+.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)))
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))))
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32))) (log.f32 (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))))
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32))) (log1p.f32 (-.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))))
(+.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32))))))
(neg.f32 (log.f32 (/.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32)) #s(literal 1 binary32)))))
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(pow.f32 (/.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32))) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x))
(*.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32))))
(*.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x))))
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x))))
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x))) (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x))))
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32))))
(fma.f32 (*.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 x (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32))
(pow.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x))
(*.f32 x #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) x)

eval166.0ms (3.1%)

Memory
-15.2MiB live, 103.0MiB allocated
Compiler

Compiled 18 176 to 2 479 computations (86.4% saved)

prune51.0ms (1%)

Memory
-3.6MiB live, 35.4MiB allocated
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New5339542
Fresh202
Picked325
Done000
Total53811549
Accuracy
97.2%
Counts
549 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
90.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
65.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
63.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))))))))
21.4%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))))))
20.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -2 binary32) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))))))
90.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))))
97.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
11.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x))))
97.1%
(*.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 498 to 363 computations (27.1% saved)

simplify159.0ms (3%)

Memory
-11.1MiB live, 183.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)))
cost-diff0
(*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))))
cost-diff0
(log1p.f32 (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 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 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))))))
cost-diff96
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))
cost-diff96
(*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32))))))
cost-diff160
(fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32))))
cost-diff160
(fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32))
cost-diff0
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
cost-diff0
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
cost-diff0
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
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
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32))))
cost-diff0
(log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))))
cost-diff160
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063612
0112612
1185597
2350586
3787574
42129569
54644569
08198552
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(literal -1 binary32)
(+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 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) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32))
#s(literal -2 binary32)
x
#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)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x))))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x)))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x)
(fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32))
(*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32))))))
(fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))
#s(literal 8 binary32)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))
#s(literal 1 binary32)
(fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32))))
(*.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))
#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 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))))))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 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 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 3/2 binary32))
#s(literal 3/2 binary32)
(/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal -2 binary32) x)
#s(literal -2 binary32)
(-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))))
(log1p.f32 (*.f32 (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))
(*.f32 (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32))))
(/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))
#s(literal -1 binary32)
(+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))
(-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))) x)
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 x #s(literal 2 binary32))
(*.f32 #s(literal 2 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 #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) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32))
#s(literal -2 binary32)
x
#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)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x))))
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) (fma.f32 x x (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32) #s(literal 2 binary32)) x))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x)))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) (fma.f32 x x (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32) #s(literal 2 binary32)) x)))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) (fma.f32 x x (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32) #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x)
(*.f32 (fma.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) (fma.f32 x x (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32) #s(literal 2 binary32)) x)
(fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32))
(fma.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) (fma.f32 x x (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32) #s(literal 2 binary32))
(*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32))))))
(/.f32 (*.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x x (-.f32 #s(literal 1 binary32) x)))
(fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))
#s(literal 8 binary32)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))
(/.f32 #s(literal 1/4 binary32) (fma.f32 x x (-.f32 #s(literal 1 binary32) x)))
#s(literal 1 binary32)
(fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32))))
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -4 binary32)) x #s(literal 4 binary32))
(*.f32 x #s(literal 4 binary32))
(*.f32 #s(literal 4 binary32) x)
#s(literal 4 binary32)
(-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))
(fma.f32 #s(literal -4 binary32) x #s(literal 4 binary32))
#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 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 (*.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) x) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3/2 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 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)))))
(log1p.f32 (*.f32 (/.f32 (*.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) x) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) x) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 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 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 3/2 binary32))
#s(literal 3/2 binary32)
(/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) x)
(*.f32 #s(literal -2 binary32) x)
#s(literal -2 binary32)
(-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))

localize165.0ms (3.1%)

Memory
27.2MiB live, 267.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))))))
accuracy0.0
(*.f32 #s(literal -2 binary32) x)
accuracy0.12195385421375227
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
accuracy1.6750019699846126
(log1p.f32 (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)))))
accuracy0.38308282428727647
(fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32))))
accuracy0.608965924816253
(fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))
accuracy1.7941217960674527
(fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32))
accuracy1.914816641079294
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x)))
accuracy0.0
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
accuracy2.7205810432483664
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
accuracy3.9586214393460932
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32))
accuracy4.584086008544595
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
accuracy0.0
(/.f32 #s(literal 1 binary32) x)
accuracy0.0
(log.f32 #s(literal -1 binary32))
accuracy0.0
#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)))
accuracy1.314968194403323
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
accuracy0.0
(*.f32 x #s(literal 2 binary32))
accuracy0.0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))))
accuracy0.0
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
accuracy4.134246097361226
(log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))))
Samples
98.0ms256×0invalid
Compiler

Compiled 1 149 to 125 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 30.0ms (39.4% of total)
ival-div: 14.0ms (18.4% of total)
ival-add: 10.0ms (13.1% of total)
ival-pow: 8.0ms (10.5% of total)
ival-log1p: 7.0ms (9.2% of total)
ival-sub: 5.0ms (6.6% of total)
ival-log: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.6%)

Memory
-0.8MiB live, 77.0MiB allocated
Counts
28 → 137
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))))
(log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 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)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
(fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32))
(fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32))))
(*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 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 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))))))
(log1p.f32 (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)))
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
(*.f32 x #s(literal 2 binary32))
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x)))
(fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(*.f32 #s(literal -2 binary32) x)
Outputs
(* 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))))
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
1
(+ 1 (pow x 3))
(+ 1 (* (pow x 3) (+ 1 (pow x 3))))
(+ 1 (* (pow x 3) (+ 1 (* (pow x 3) (+ 1 (pow x 3))))))
(* 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)
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
4
(+ 4 (* -4 x))
(+ 4 (* x (- (* 4 x) 4)))
1/4
(+ 1/4 (* 1/4 x))
(+ 1/4 (* x (+ 1/4 (* -1/4 (pow x 2)))))
(+ 1/4 (* x (+ 1/4 (* (pow x 2) (- (* -1/4 x) 1/4)))))
(* x (+ 1 (* 1/4 (* x (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4)))))
(* x (+ 1 (* x (+ (* 1/12 (* x (+ 16 (+ (* -24 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* -12 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))))))) (* 1/4 (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4))))))
(* x (+ 1 (* x (+ (* 1/4 (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4)) (* x (+ (* 1/48 (* x (- (+ (* -48 (pow (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) 2)) (+ (* 48 (+ (* -1 (* (+ (sqrt x) (* -1 (sqrt x))) (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x)))))))) (* x (+ 1 (+ (sqrt x) (* -1 (sqrt x))))))) (+ (* 96 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))) (* 192 (+ 1 (+ (sqrt x) (* -1 (sqrt x)))))))) 96))) (* 1/12 (+ 16 (+ (* -24 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* -12 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))))))))))))
(* x (+ 2 (* 1/2 (* x (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4)))))
(* x (+ 2 (* x (+ (* 1/6 (* x (+ 16 (+ (* -24 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* -12 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))))))) (* 1/2 (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4))))))
(* x (+ 2 (* x (+ (* 1/2 (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4)) (* x (+ (* 1/24 (* x (- (+ (* -48 (pow (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) 2)) (+ (* 48 (+ (* -1 (* (+ (sqrt x) (* -1 (sqrt x))) (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x)))))))) (* x (+ 1 (+ (sqrt x) (* -1 (sqrt x))))))) (+ (* 96 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))) (* 192 (+ 1 (+ (sqrt x) (* -1 (sqrt x)))))))) 96))) (* 1/6 (+ 16 (+ (* -24 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* -12 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))))))))))))
(* x (+ 2 (* 2 (* x (+ 1 (+ (sqrt x) (* -1 (sqrt x))))))))
(* x (+ 2 (* x (+ (* -2 (* x (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x)))))))) (* 2 (+ 1 (+ (sqrt x) (* -1 (sqrt x)))))))))
(* x (+ 2 (* x (+ (* 2 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* x (+ (* -2 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))) (* 2 (* x (+ (* -1 (* (+ (sqrt x) (* -1 (sqrt x))) (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x)))))))) (* x (+ 1 (+ (sqrt x) (* -1 (sqrt x))))))))))))))
(+ 1 (* x (- 1 (sqrt x))))
(+ 1 (* x (- (+ 1 (* -1 (* x (+ 1 (* (sqrt x) (- 1 (sqrt x))))))) (sqrt x))))
(+ 1 (* x (- (+ 1 (* x (- (* (sqrt (pow x 3)) (+ 1 (* (sqrt x) (- 1 (sqrt x))))) (+ 1 (* (sqrt x) (- 1 (sqrt x))))))) (sqrt x))))
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(+ 2 (* x (+ 2 (* -2 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))))))))
8
(+ 8 (* 8 (pow x 3)))
(* -2 x)
(- 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))
(* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 3))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 6))) (+ 1 (/ 1 (pow x 3)))) (pow x 3))
(* 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))))))
(* -2 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 4 (/ 4 (pow x 2))) (* 4 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(/ 1/4 (pow x 2))
(/ (+ 1/4 (* 1/4 (/ 1 x))) (pow x 2))
(/ (- (+ 1/4 (* 1/4 (/ 1 x))) (/ 1/4 (pow x 3))) (pow x 2))
(/ (+ 1/4 (+ (* -1 (/ (+ 1/4 (* 1/4 (/ 1 x))) (pow x 3))) (* 1/4 (/ 1 x)))) (pow x 2))
(/ (+ x (* -1/4 (/ (+ (* 4 x) (* 4 (pow x 2))) x))) x)
(/ (+ x (+ (* -1/4 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (* 1/12 (/ (+ (* -12 (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))) (+ (* 16 (pow x 3)) (* 24 (pow x 2)))) (pow x 2))))) x)
(/ (+ x (+ (* -1/4 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (+ (* 1/48 (/ (- (+ (* 48 (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) (* 96 (* x (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))))) (+ (* 48 (pow x 2)) (+ (* 96 (pow x 4)) (* 192 (pow x 3))))) (pow x 3))) (* 1/12 (/ (+ (* -12 (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))) (+ (* 16 (pow x 3)) (* 24 (pow x 2)))) (pow x 2)))))) x)
(/ (+ (* -1/2 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (* 2 x)) x)
(/ (+ (* -1/2 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (+ (* 1/6 (/ (+ (* -12 (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))) (+ (* 16 (pow x 3)) (* 24 (pow x 2)))) (pow x 2))) (* 2 x))) x)
(/ (+ (* -1/2 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (+ (* 1/24 (/ (- (+ (* 48 (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) (* 96 (* x (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))))) (+ (* 48 (pow x 2)) (+ (* 96 (pow x 4)) (* 192 (pow x 3))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -12 (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))) (+ (* 16 (pow x 3)) (* 24 (pow x 2)))) (pow x 2))) (* 2 x)))) x)
(/ (- (* 2 x) 2) x)
(/ (- (+ (* -2 (/ (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x))))))) (pow x 2))) (* 2 x)) 2) x)
(/ (- (+ (* -2 (/ (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* 2 x) (* 2 (/ (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3)))) (pow x 3))))) 2) x)
(* -1 (sqrt x))
(+ (sqrt (/ 1 x)) (* -1 (sqrt x)))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (sqrt x)) (/ 1 x))))
(- (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (sqrt x)) (/ 1 x)))) (/ 1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* -2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 2))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* x (- (* 2 (/ 1 x)) 2))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 8 (pow x 3))
(* (pow x 3) (+ 8 (* 8 (/ 1 (pow x 3)))))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 3)))) (pow x 3)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(* (pow x 2) (+ 4 (* -1 (/ (- 4 (* 4 (/ 1 x))) x))))
(/ (+ 1/4 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/4) x))) (pow x 2))
(/ (+ 1/4 (* -1 (/ (- (+ (/ 1/4 (pow x 3)) (* 1/4 (/ 1 (pow x 2)))) 1/4) x))) (pow x 2))
(/ -1 (pow (sqrt -1) 2))
(* -1 (/ (- (* 1/4 (/ (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4))))) (* -1/12 (/ (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))) x))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (- (+ (* -96 (/ (* x (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2))) (* 48 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (+ (* -192 (/ (pow x 3) (pow (sqrt -1) 6))) (+ (* 48 (/ (pow x 2) (pow (sqrt -1) 4))) (* 96 (/ (pow x 4) (pow (sqrt -1) 8)))))) x)) (* 1/12 (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))))) x)) (* -1/4 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(/ -2 (pow (sqrt -1) 2))
(* -1 (/ (+ (* 1/2 (/ (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))) x)) (* 2 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4))))) (* -1/6 (/ (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))) x))) x)) (* 2 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (- (+ (* -96 (/ (* x (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2))) (* 48 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (+ (* -192 (/ (pow x 3) (pow (sqrt -1) 6))) (+ (* 48 (/ (pow x 2) (pow (sqrt -1) 4))) (* 96 (/ (pow x 4) (pow (sqrt -1) 8)))))) x)) (* 1/6 (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))))) x)) (* -1/2 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))))) x)) (* 2 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (* 2 (/ x (pow (sqrt -1) 2))) (* 2 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -2 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) x)) (* -2 (/ x (pow (sqrt -1) 2)))) x)) (* 2 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (/ (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))) (* 2 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))))) x)) (* -2 (/ x (pow (sqrt -1) 2)))) x)) (* 2 (/ x (pow (sqrt -1) 2)))) x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (+ (sqrt x) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (+ (sqrt x) (+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 2)))) x))) x)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2))) (* 1/2 (log (+ 1 (* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)))))) (log (+ 1 (* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2))))) (/ -1 (+ -1 (pow x 3))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (log -1) (/ 1 x) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (+ (* (* (+ (* 8 (pow x 3)) 8) (/ 1 (+ (* (* x 4) x) (- 4 (* x 4))))) x) 2) (+ (* (* x 4) x) (- 4 (* x 4))) (* (+ (* 8 (pow x 3)) 8) (/ 1 (+ (* (* x 4) x) (- 4 (* x 4))))) (/ 1 (+ (* (* x 4) x) (- 4 (* x 4)))) (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1))))) (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1))) (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (+ (* (- 1 x) x) 1) (* x 2) (+ (* (+ (* -2 x) 2) x) 2) (+ (* -2 x) 2) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ (* 8 (pow x 3)) 8) (+ (* (- 1 x) x) 1) (* -2 x))
10.0ms
x
@0
((* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2))) (* 1/2 (log (+ 1 (* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)))))) (log (+ 1 (* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2))))) (/ -1 (+ -1 (pow x 3))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (log -1) (/ 1 x) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (+ (* (* (+ (* 8 (pow x 3)) 8) (/ 1 (+ (* (* x 4) x) (- 4 (* x 4))))) x) 2) (+ (* (* x 4) x) (- 4 (* x 4))) (* (+ (* 8 (pow x 3)) 8) (/ 1 (+ (* (* x 4) x) (- 4 (* x 4))))) (/ 1 (+ (* (* x 4) x) (- 4 (* x 4)))) (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1))))) (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1))) (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (+ (* (- 1 x) x) 1) (* x 2) (+ (* (+ (* -2 x) 2) x) 2) (+ (* -2 x) 2) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ (* 8 (pow x 3)) 8) (+ (* (- 1 x) x) 1) (* -2 x))
8.0ms
x
@inf
((* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2))) (* 1/2 (log (+ 1 (* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)))))) (log (+ 1 (* (/ -1 (+ -1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2))))) (/ -1 (+ -1 (pow x 3))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (log -1) (/ 1 x) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (+ (* (* (+ (* 8 (pow x 3)) 8) (/ 1 (+ (* (* x 4) x) (- 4 (* x 4))))) x) 2) (+ (* (* x 4) x) (- 4 (* x 4))) (* (+ (* 8 (pow x 3)) 8) (/ 1 (+ (* (* x 4) x) (- 4 (* x 4))))) (/ 1 (+ (* (* x 4) x) (- 4 (* x 4)))) (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1))))) (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1))) (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (+ (* (- 1 x) x) 1) (* x 2) (+ (* (+ (* -2 x) 2) x) 2) (+ (* -2 x) 2) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ (* 8 (pow x 3)) 8) (+ (* (- 1 x) x) 1) (* -2 x))

simplify133.0ms (2.5%)

Memory
-22.2MiB live, 175.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06442816
120102136
268261881
086571738
Stop Event
iter limit
node limit
Counts
137 → 136
Calls
Call 1
Inputs
(* 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))))
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
1
(+ 1 (pow x 3))
(+ 1 (* (pow x 3) (+ 1 (pow x 3))))
(+ 1 (* (pow x 3) (+ 1 (* (pow x 3) (+ 1 (pow x 3))))))
(* 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)
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
4
(+ 4 (* -4 x))
(+ 4 (* x (- (* 4 x) 4)))
1/4
(+ 1/4 (* 1/4 x))
(+ 1/4 (* x (+ 1/4 (* -1/4 (pow x 2)))))
(+ 1/4 (* x (+ 1/4 (* (pow x 2) (- (* -1/4 x) 1/4)))))
(* x (+ 1 (* 1/4 (* x (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4)))))
(* x (+ 1 (* x (+ (* 1/12 (* x (+ 16 (+ (* -24 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* -12 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))))))) (* 1/4 (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4))))))
(* x (+ 1 (* x (+ (* 1/4 (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4)) (* x (+ (* 1/48 (* x (- (+ (* -48 (pow (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) 2)) (+ (* 48 (+ (* -1 (* (+ (sqrt x) (* -1 (sqrt x))) (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x)))))))) (* x (+ 1 (+ (sqrt x) (* -1 (sqrt x))))))) (+ (* 96 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))) (* 192 (+ 1 (+ (sqrt x) (* -1 (sqrt x)))))))) 96))) (* 1/12 (+ 16 (+ (* -24 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* -12 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))))))))))))
(* x (+ 2 (* 1/2 (* x (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4)))))
(* x (+ 2 (* x (+ (* 1/6 (* x (+ 16 (+ (* -24 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* -12 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))))))) (* 1/2 (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4))))))
(* x (+ 2 (* x (+ (* 1/2 (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4)) (* x (+ (* 1/24 (* x (- (+ (* -48 (pow (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) 2)) (+ (* 48 (+ (* -1 (* (+ (sqrt x) (* -1 (sqrt x))) (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x)))))))) (* x (+ 1 (+ (sqrt x) (* -1 (sqrt x))))))) (+ (* 96 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))) (* 192 (+ 1 (+ (sqrt x) (* -1 (sqrt x)))))))) 96))) (* 1/6 (+ 16 (+ (* -24 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* -12 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))))))))))))
(* x (+ 2 (* 2 (* x (+ 1 (+ (sqrt x) (* -1 (sqrt x))))))))
(* x (+ 2 (* x (+ (* -2 (* x (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x)))))))) (* 2 (+ 1 (+ (sqrt x) (* -1 (sqrt x)))))))))
(* x (+ 2 (* x (+ (* 2 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* x (+ (* -2 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))) (* 2 (* x (+ (* -1 (* (+ (sqrt x) (* -1 (sqrt x))) (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x)))))))) (* x (+ 1 (+ (sqrt x) (* -1 (sqrt x))))))))))))))
(+ 1 (* x (- 1 (sqrt x))))
(+ 1 (* x (- (+ 1 (* -1 (* x (+ 1 (* (sqrt x) (- 1 (sqrt x))))))) (sqrt x))))
(+ 1 (* x (- (+ 1 (* x (- (* (sqrt (pow x 3)) (+ 1 (* (sqrt x) (- 1 (sqrt x))))) (+ 1 (* (sqrt x) (- 1 (sqrt x))))))) (sqrt x))))
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(+ 2 (* x (+ 2 (* -2 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))))))))
8
(+ 8 (* 8 (pow x 3)))
(* -2 x)
(- 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))
(* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 3))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 6))) (+ 1 (/ 1 (pow x 3)))) (pow x 3))
(* 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))))))
(* -2 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 4 (/ 4 (pow x 2))) (* 4 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(/ 1/4 (pow x 2))
(/ (+ 1/4 (* 1/4 (/ 1 x))) (pow x 2))
(/ (- (+ 1/4 (* 1/4 (/ 1 x))) (/ 1/4 (pow x 3))) (pow x 2))
(/ (+ 1/4 (+ (* -1 (/ (+ 1/4 (* 1/4 (/ 1 x))) (pow x 3))) (* 1/4 (/ 1 x)))) (pow x 2))
(/ (+ x (* -1/4 (/ (+ (* 4 x) (* 4 (pow x 2))) x))) x)
(/ (+ x (+ (* -1/4 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (* 1/12 (/ (+ (* -12 (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))) (+ (* 16 (pow x 3)) (* 24 (pow x 2)))) (pow x 2))))) x)
(/ (+ x (+ (* -1/4 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (+ (* 1/48 (/ (- (+ (* 48 (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) (* 96 (* x (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))))) (+ (* 48 (pow x 2)) (+ (* 96 (pow x 4)) (* 192 (pow x 3))))) (pow x 3))) (* 1/12 (/ (+ (* -12 (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))) (+ (* 16 (pow x 3)) (* 24 (pow x 2)))) (pow x 2)))))) x)
(/ (+ (* -1/2 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (* 2 x)) x)
(/ (+ (* -1/2 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (+ (* 1/6 (/ (+ (* -12 (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))) (+ (* 16 (pow x 3)) (* 24 (pow x 2)))) (pow x 2))) (* 2 x))) x)
(/ (+ (* -1/2 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (+ (* 1/24 (/ (- (+ (* 48 (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) (* 96 (* x (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))))) (+ (* 48 (pow x 2)) (+ (* 96 (pow x 4)) (* 192 (pow x 3))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -12 (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))) (+ (* 16 (pow x 3)) (* 24 (pow x 2)))) (pow x 2))) (* 2 x)))) x)
(/ (- (* 2 x) 2) x)
(/ (- (+ (* -2 (/ (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x))))))) (pow x 2))) (* 2 x)) 2) x)
(/ (- (+ (* -2 (/ (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* 2 x) (* 2 (/ (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3)))) (pow x 3))))) 2) x)
(* -1 (sqrt x))
(+ (sqrt (/ 1 x)) (* -1 (sqrt x)))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (sqrt x)) (/ 1 x))))
(- (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (sqrt x)) (/ 1 x)))) (/ 1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* -2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 2))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* x (- (* 2 (/ 1 x)) 2))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 8 (pow x 3))
(* (pow x 3) (+ 8 (* 8 (/ 1 (pow x 3)))))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 3)))) (pow x 3)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(* (pow x 2) (+ 4 (* -1 (/ (- 4 (* 4 (/ 1 x))) x))))
(/ (+ 1/4 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/4) x))) (pow x 2))
(/ (+ 1/4 (* -1 (/ (- (+ (/ 1/4 (pow x 3)) (* 1/4 (/ 1 (pow x 2)))) 1/4) x))) (pow x 2))
(/ -1 (pow (sqrt -1) 2))
(* -1 (/ (- (* 1/4 (/ (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4))))) (* -1/12 (/ (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))) x))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (- (+ (* -96 (/ (* x (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2))) (* 48 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (+ (* -192 (/ (pow x 3) (pow (sqrt -1) 6))) (+ (* 48 (/ (pow x 2) (pow (sqrt -1) 4))) (* 96 (/ (pow x 4) (pow (sqrt -1) 8)))))) x)) (* 1/12 (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))))) x)) (* -1/4 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(/ -2 (pow (sqrt -1) 2))
(* -1 (/ (+ (* 1/2 (/ (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))) x)) (* 2 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4))))) (* -1/6 (/ (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))) x))) x)) (* 2 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (- (+ (* -96 (/ (* x (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2))) (* 48 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (+ (* -192 (/ (pow x 3) (pow (sqrt -1) 6))) (+ (* 48 (/ (pow x 2) (pow (sqrt -1) 4))) (* 96 (/ (pow x 4) (pow (sqrt -1) 8)))))) x)) (* 1/6 (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))))) x)) (* -1/2 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))))) x)) (* 2 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (* 2 (/ x (pow (sqrt -1) 2))) (* 2 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -2 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) x)) (* -2 (/ x (pow (sqrt -1) 2)))) x)) (* 2 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (/ (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))) (* 2 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))))) x)) (* -2 (/ x (pow (sqrt -1) 2)))) x)) (* 2 (/ x (pow (sqrt -1) 2)))) x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (+ (sqrt x) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (+ (sqrt x) (+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 2)))) x))) x)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
Outputs
(* 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)
(* 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)
1
#s(literal 1 binary32)
(+ 1 (pow x 3))
(+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 3) (+ 1 (pow x 3))))
(+.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32)))
(+ 1 (* (pow x 3) (+ 1 (* (pow x 3) (+ 1 (pow x 3))))))
(fma.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))
(* 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)
2
#s(literal 2 binary32)
(+ 2 (* 2 x))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
4
#s(literal 4 binary32)
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#s(literal 1/4 binary32)
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x
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#s(literal 8 binary32)
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(* 1/2 (log -1))
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(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))
(* (pow x 3) (+ 8 (* 8 (/ 1 (pow x 3)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 8 binary32))
(+ 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 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(-.f32 (*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x)) x))
(+ (log 3) (* -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 (/ (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (pow x 3)))
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (pow.f32 x #s(literal 3 binary32))))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 3)))) (pow x 3)))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (pow.f32 x #s(literal 3 binary32))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) x) x)) x))
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) (*.f32 x x))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(*.f32 (neg.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 2) (+ 4 (* -1 (/ (- 4 (* 4 (/ 1 x))) x))))
(*.f32 (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) x)) x)) x) x)
(/ (+ 1/4 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/4) x))) (pow x 2))
(/.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) x) x) #s(literal 1/4 binary32)) x)) x) x)
(/ (+ 1/4 (* -1 (/ (- (+ (/ 1/4 (pow x 3)) (* 1/4 (/ 1 (pow x 2)))) 1/4) x))) (pow x 2))
(/.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) (+.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32)) x)) x) x)
(/ -1 (pow (sqrt -1) 2))
#s(literal 1 binary32)
(* -1 (/ (- (* 1/4 (/ (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(neg.f32 (fma.f32 (/.f32 (*.f32 #s(literal 4 binary32) (fma.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) x)) x) (/.f32 #s(literal 1/4 binary32) x) #s(literal -1 binary32)))
(* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4))))) (* -1/12 (/ (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))) x))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(/.f32 (+.f32 (/.f32 (fma.f32 (-.f32 #s(literal 12 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 24 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -16 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)))) x)) #s(literal -1/12 binary32) (*.f32 #s(literal -1 binary32) (fma.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) x))) x) x) x)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (- (+ (* -96 (/ (* x (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2))) (* 48 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (+ (* -192 (/ (pow x 3) (pow (sqrt -1) 6))) (+ (* 48 (/ (pow x 2) (pow (sqrt -1) 4))) (* 96 (/ (pow x 4) (pow (sqrt -1) 8)))))) x)) (* 1/12 (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))))) x)) (* -1/4 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(/.f32 (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (fma.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) x)) (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal -96 binary32) (*.f32 (neg.f32 x) x)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (/.f32 #s(literal 96 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 48 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -192 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)))))) x) #s(literal -1/48 binary32) (*.f32 (-.f32 (*.f32 #s(literal 12 binary32) x) (fma.f32 (*.f32 x x) (/.f32 #s(literal 24 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -16 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32))))) #s(literal 1/12 binary32))) x)) x) x) x)
(/ -2 (pow (sqrt -1) 2))
#s(literal 2 binary32)
(* -1 (/ (+ (* 1/2 (/ (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))) x)) (* 2 (/ x (pow (sqrt -1) 2)))) x))
(/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 4 binary32) (fma.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) x)) x) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) x)) (neg.f32 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4))))) (* -1/6 (/ (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))) x))) x)) (* 2 (/ x (pow (sqrt -1) 2)))) x))
(-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 12 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 24 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -16 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)))) x)) (*.f32 #s(literal -2 binary32) (fma.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) x))) x) (neg.f32 x)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (- (+ (* -96 (/ (* x (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2))) (* 48 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (+ (* -192 (/ (pow x 3) (pow (sqrt -1) 6))) (+ (* 48 (/ (pow x 2) (pow (sqrt -1) 4))) (* 96 (/ (pow x 4) (pow (sqrt -1) 8)))))) x)) (* 1/6 (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))))) x)) (* -1/2 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))))) x)) (* 2 (/ x (pow (sqrt -1) 2)))) x))
(-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (fma.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) x)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (-.f32 (*.f32 #s(literal -96 binary32) (*.f32 (neg.f32 x) x)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (/.f32 #s(literal 96 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 48 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -192 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)))))) x) (*.f32 (-.f32 (*.f32 #s(literal 12 binary32) x) (fma.f32 (*.f32 x x) (/.f32 #s(literal 24 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -16 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32))))) #s(literal 1/6 binary32))) x)) x) (neg.f32 x)))
(* -1 (/ (- (* 2 (/ x (pow (sqrt -1) 2))) (* 2 (/ 1 (pow (sqrt -1) 2)))) x))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))
(* -1 (/ (+ (* -1 (/ (- (* -2 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) x)) (* -2 (/ x (pow (sqrt -1) 2)))) x)) (* 2 (/ x (pow (sqrt -1) 2)))) x))
(neg.f32 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal -2 binary32) x) #s(literal 2 binary32)) x)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (/ (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))) (* 2 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))))) x)) (* -2 (/ x (pow (sqrt -1) 2)))) x)) (* 2 (/ x (pow (sqrt -1) 2)))) x))
(neg.f32 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal -2 binary32) x) #s(literal 2 binary32)) x)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (+ (sqrt x) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)))
(-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (sqrt.f32 x) x) x) (sqrt.f32 x)) x) (sqrt.f32 x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (+ (sqrt x) (+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 2)))) x))) x)))
(-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (+.f32 (sqrt.f32 x) x) #s(literal -1 binary32)) x) (sqrt.f32 x)) x) (sqrt.f32 x))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) #s(literal 2/3 binary32)) x) x)) x))

rewrite269.0ms (5%)

Memory
42.6MiB live, 274.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062420
0110414
1433390
23596390
010882383
Stop Event
iter limit
node limit
iter limit
Counts
28 → 488
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))))
(log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 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)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
(fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32))
(fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32))))
(*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 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 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))))))
(log1p.f32 (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)))
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
(*.f32 x #s(literal 2 binary32))
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x)))
(fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(*.f32 #s(literal -2 binary32) x)
Outputs
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (-.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1 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) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))))) (*.f32 #s(literal 2 binary32) x))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) x)) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) x)
(*.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) x) #s(literal 2 binary32))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x)) #s(literal 2 binary32))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))))
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal -8 binary32)) (fma.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 64 binary32) #s(literal -64 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 64 binary32) #s(literal 64 binary32)) (*.f32 #s(literal 64 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal 512 binary32) #s(literal 512 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -2 binary32) x) #s(literal 6 binary32)) (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal -8 binary32))) (/.f32 #s(literal 64 binary32) (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal -8 binary32))))
(fma.f32 (*.f32 #s(literal 8 binary32) (*.f32 x x)) x #s(literal 8 binary32))
(fma.f32 (*.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3/2 binary32))) (pow.f32 x #s(literal 3/2 binary32)) #s(literal 8 binary32))
(fma.f32 (*.f32 #s(literal 8 binary32) x) (*.f32 x x) #s(literal 8 binary32))
(fma.f32 #s(literal -8 binary32) (pow.f32 (neg.f32 x) #s(literal 3 binary32)) #s(literal 8 binary32))
(fma.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) #s(literal -8 binary32) #s(literal 8 binary32))
(fma.f32 (*.f32 x x) (*.f32 x #s(literal 8 binary32)) #s(literal 8 binary32))
(fma.f32 (*.f32 (*.f32 #s(literal 4 binary32) x) x) (*.f32 #s(literal 2 binary32) x) #s(literal 8 binary32))
(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (*.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 8 binary32)) #s(literal 8 binary32))
(fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))
(fma.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 (*.f32 #s(literal 4 binary32) x) x) #s(literal 8 binary32))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 8 binary32))
(fma.f32 x (*.f32 (*.f32 x x) #s(literal 8 binary32)) #s(literal 8 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 8 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal -8 binary32)) (fma.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 64 binary32) #s(literal -64 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 64 binary32) #s(literal 64 binary32)) (*.f32 #s(literal 64 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal 512 binary32) #s(literal 512 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 8 binary32))
(+.f32 #s(literal 8 binary32) (*.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32))))
(*.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x))))
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (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 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x))))
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x))))
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32))))
(fma.f32 (*.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 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32))
(fma.f32 x (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
(pow.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x))
(*.f32 (neg.f32 x) #s(literal 2 binary32))
(*.f32 #s(literal -2 binary32) x)
(*.f32 #s(literal 2 binary32) (neg.f32 x))
(*.f32 x #s(literal -2 binary32))
(*.f32 #s(literal -1 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))

eval93.0ms (1.7%)

Memory
-16.1MiB live, 187.9MiB allocated
Compiler

Compiled 24 033 to 3 688 computations (84.7% saved)

prune48.0ms (0.9%)

Memory
10.1MiB live, 47.7MiB allocated
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New60115616
Fresh314
Picked235
Done112
Total60720627
Accuracy
97.4%
Counts
627 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.9%
(*.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32))
64.8%
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32))
21.2%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)) #s(literal -2 binary32)) x)))))
90.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
64.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
90.3%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))))))
90.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))))
90.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))))
97.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
11.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x))))
11.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x))))
13.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 (*.f32 #s(literal 4 binary32) x) x))))) x #s(literal 2 binary32)) x))))
12.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 #s(literal 4 binary32) x) x (fma.f32 #s(literal -4 binary32) x #s(literal 4 binary32))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x))))
11.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (+.f32 (*.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x))))
97.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(approx (* (+ (* 8 (pow x 3)) 8) (/ 1 (+ (* (* x 4) x) (- 4 (* x 4))))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x #s(literal 2 binary32)) x))))
61.0%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (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))
7.7%
#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)))
97.1%
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) x)
7.5%
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) #s(literal 1 binary32))
Compiler

Compiled 1 055 to 751 computations (28.8% saved)

simplify136.0ms (2.5%)

Memory
-1.1MiB live, 153.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff160
(*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32))
cost-diff160
(fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32))
cost-diff224
(-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x)))
cost-diff352
(/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32))
cost-diff0
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))))))
cost-diff544
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))))
cost-diff2752
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))
cost-diff0
(*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
cost-diff0
(log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
cost-diff2944
(/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
cost-diff0
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) #s(literal 1 binary32))
cost-diff0
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056575
090513
1175492
2389490
3942484
42689479
54620479
67225479
08117439
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) x)
x
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 x #s(literal 2 binary32))
x
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))))
#s(literal 1 binary32)
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))
(-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))
(*.f32 #s(literal -2 binary32) x)
#s(literal -2 binary32)
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x))))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x)))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x)
(fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32))
(*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32))))
(fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))
#s(literal 8 binary32)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32))
(-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x)))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32))
(*.f32 x x)
#s(literal 4 binary32)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))
(*.f32 #s(literal 4 binary32) x)
#s(literal 2 binary32)
Outputs
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) x)
x
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (fma.f32 x x (/.f32 #s(literal -1 binary32) x))) #s(literal -2 binary32))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(log1p.f32 (*.f32 (/.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (fma.f32 x x (/.f32 #s(literal -1 binary32) x))) #s(literal -2 binary32)))
(/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (/.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (fma.f32 x x (/.f32 #s(literal -1 binary32) x))) #s(literal -2 binary32))
(*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))) x)
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 x #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) x)
x
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (fma.f32 x x (/.f32 #s(literal -1 binary32) x))) #s(literal -2 binary32))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))))
(log1p.f32 (*.f32 (/.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (fma.f32 x x (/.f32 #s(literal -1 binary32) x))) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (fma.f32 x x (/.f32 #s(literal -1 binary32) x))) #s(literal -2 binary32))
#s(literal 1 binary32)
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))
(/.f32 (/.f32 (fma.f32 x x (/.f32 #s(literal -1 binary32) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))) #s(literal -2 binary32))
(-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal -2 binary32)) x)
(*.f32 #s(literal -2 binary32) x)
#s(literal -2 binary32)
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x))))
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) #s(literal 2 binary32) #s(literal 2 binary32)) x))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x)))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) #s(literal 2 binary32) #s(literal 2 binary32)) x)))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) #s(literal 2 binary32) #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x)
(*.f32 (fma.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) #s(literal 2 binary32) #s(literal 2 binary32)) x)
(fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32))
(fma.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) #s(literal 2 binary32) #s(literal 2 binary32))
(*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))
#s(literal 8 binary32)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1/4 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
#s(literal 1 binary32)
(/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32))
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -4 binary32)) x #s(literal 4 binary32))
(-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x)))
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -4 binary32)) x #s(literal 4 binary32))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal 4 binary32) (*.f32 x x) #s(literal 4 binary32))
(fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32))
(fma.f32 #s(literal 4 binary32) (*.f32 x x) #s(literal 4 binary32))
(*.f32 x x)
#s(literal 4 binary32)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))
(*.f32 #s(literal 4 binary32) x)
(*.f32 #s(literal 4 binary32) x)
#s(literal 2 binary32)

localize251.0ms (4.7%)

Memory
-6.7MiB live, 194.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy2.1435500505969354
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x)))
accuracy3.8163735502726954
(fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))
accuracy5.070677079573539
(fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32))
accuracy5.312314121379804
(fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32))
accuracy0.05078125
(*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))
accuracy0.17019917121409736
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))))
accuracy1.1027894119000092
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
accuracy2.3249549578650934
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))))
accuracy0.0078125
(/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
accuracy0.05078125
(*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
accuracy1.1027894119000092
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
accuracy2.2920386171310403
(log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
accuracy12.869667870608474
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) #s(literal 1 binary32))
accuracy0.5350778058393681
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) x)
Samples
120.0ms116×0valid
73.0ms140×0invalid
Compiler

Compiled 1 059 to 115 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-mult: 135.0ms (77.9% of total)
ival-div: 11.0ms (6.4% of total)
ival-log1p: 7.0ms (4% of total)
ival-pow: 7.0ms (4% of total)
ival-add: 6.0ms (3.5% of total)
ival-sub: 6.0ms (3.5% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
19 → 90
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) x)
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))))))
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32))
(-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x)))
(fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32))
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32))
(fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x)))
Outputs
x
(* x (+ 1 (* 1/4 (* x (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4)))))
(* x (+ 1 (* x (+ (* 1/12 (* x (+ 16 (+ (* -24 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* -12 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))))))) (* 1/4 (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4))))))
(* x (+ 1 (* x (+ (* 1/4 (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4)) (* x (+ (* 1/48 (* x (- (+ (* -48 (pow (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) 2)) (+ (* 48 (+ (* -1 (* (+ (sqrt x) (* -1 (sqrt x))) (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x)))))))) (* x (+ 1 (+ (sqrt x) (* -1 (sqrt x))))))) (+ (* 96 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))) (* 192 (+ 1 (+ (sqrt x) (* -1 (sqrt x)))))))) 96))) (* 1/12 (+ 16 (+ (* -24 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* -12 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))))))))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(/ 1/2 x)
(/ (+ 1/2 (* -1/2 x)) x)
(/ (+ 1/2 (* x (- x 1/2))) x)
(/ (+ 1/2 (* x (- (* x (+ 1 (* -2 x))) 1/2))) x)
4
(+ 4 (* -4 x))
(+ 4 (* x (- (* 4 x) 4)))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 4 (* 4 (pow x 2)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* x (- (* 2 x) 2)) 2))
8
(+ 8 (* 8 (pow x 3)))
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(/ (+ x (* -1/4 (/ (+ (* 4 x) (* 4 (pow x 2))) x))) x)
(/ (+ x (+ (* -1/4 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (* 1/12 (/ (+ (* -12 (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))) (+ (* 16 (pow x 3)) (* 24 (pow x 2)))) (pow x 2))))) x)
(/ (+ x (+ (* -1/4 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (+ (* 1/48 (/ (- (+ (* 48 (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) (* 96 (* x (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))))) (+ (* 48 (pow x 2)) (+ (* 96 (pow x 4)) (* 192 (pow x 3))))) (pow x 3))) (* 1/12 (/ (+ (* -12 (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))) (+ (* 16 (pow x 3)) (* 24 (pow x 2)))) (pow x 2)))))) x)
(- 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 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))
(+ 1/2 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 4 (/ 4 (pow x 2))) (* 4 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 2) (+ 4 (* 4 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* 2 (pow x 3))
(* (pow x 3) (- 2 (* 2 (/ 1 x))))
(* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))
(* 8 (pow x 3))
(* (pow x 3) (+ 8 (* 8 (/ 1 (pow x 3)))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(/ -1 (pow (sqrt -1) 2))
(* -1 (/ (- (* 1/4 (/ (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4))))) (* -1/12 (/ (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))) x))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (- (+ (* -96 (/ (* x (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2))) (* 48 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (+ (* -192 (/ (pow x 3) (pow (sqrt -1) 6))) (+ (* 48 (/ (pow x 2) (pow (sqrt -1) 4))) (* 96 (/ (pow x 4) (pow (sqrt -1) 8)))))) x)) (* 1/12 (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))))) x)) (* -1/4 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))
(* (pow x 2) (+ 4 (* -1 (/ (- 4 (* 4 (/ 1 x))) x))))
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 2)))
(* -1 (* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 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)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* (- 1 x) x) 1) (* x 2)) (/ (- (pow x 3) 1) (* (* -2 x) (+ (* (- 1 x) x) 1))) (/ 1 (/ (- (pow x 3) 1) (* (* -2 x) (+ (* (- 1 x) x) 1)))) (* 1/2 (log (+ 1 (/ 1 (/ (- (pow x 3) 1) (* (* -2 x) (+ (* (- 1 x) x) 1))))))) (log (+ 1 (/ 1 (/ (- (pow x 3) 1) (* (* -2 x) (+ (* (- 1 x) x) 1)))))) (/ (- (* (+ (* (* x x) 4) 4) 1) (* 1 (* 4 x))) 1) (- (* (+ (* (* x x) 4) 4) 1) (* 1 (* 4 x))) (+ (* (* (+ (* 8 (pow x 3)) 8) (/ 1 (/ (- (* (+ (* (* x x) 4) 4) 1) (* 1 (* 4 x))) 1))) x) 2) (* (+ (* (* x x) 4) 4) 1) (+ (* (- 1 x) x) 1) (* (* -2 x) (+ (* (- 1 x) x) 1)) (+ (* (* x x) 4) 4) (+ (* 8 (pow x 3)) 8) (log (+ 1 (/ (* 2 x) (- 1 x)))))
2.0ms
x
@-inf
((* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 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)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* (- 1 x) x) 1) (* x 2)) (/ (- (pow x 3) 1) (* (* -2 x) (+ (* (- 1 x) x) 1))) (/ 1 (/ (- (pow x 3) 1) (* (* -2 x) (+ (* (- 1 x) x) 1)))) (* 1/2 (log (+ 1 (/ 1 (/ (- (pow x 3) 1) (* (* -2 x) (+ (* (- 1 x) x) 1))))))) (log (+ 1 (/ 1 (/ (- (pow x 3) 1) (* (* -2 x) (+ (* (- 1 x) x) 1)))))) (/ (- (* (+ (* (* x x) 4) 4) 1) (* 1 (* 4 x))) 1) (- (* (+ (* (* x x) 4) 4) 1) (* 1 (* 4 x))) (+ (* (* (+ (* 8 (pow x 3)) 8) (/ 1 (/ (- (* (+ (* (* x x) 4) 4) 1) (* 1 (* 4 x))) 1))) x) 2) (* (+ (* (* x x) 4) 4) 1) (+ (* (- 1 x) x) 1) (* (* -2 x) (+ (* (- 1 x) x) 1)) (+ (* (* x x) 4) 4) (+ (* 8 (pow x 3)) 8) (log (+ 1 (/ (* 2 x) (- 1 x)))))
2.0ms
x
@0
((* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 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)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* (- 1 x) x) 1) (* x 2)) (/ (- (pow x 3) 1) (* (* -2 x) (+ (* (- 1 x) x) 1))) (/ 1 (/ (- (pow x 3) 1) (* (* -2 x) (+ (* (- 1 x) x) 1)))) (* 1/2 (log (+ 1 (/ 1 (/ (- (pow x 3) 1) (* (* -2 x) (+ (* (- 1 x) x) 1))))))) (log (+ 1 (/ 1 (/ (- (pow x 3) 1) (* (* -2 x) (+ (* (- 1 x) x) 1)))))) (/ (- (* (+ (* (* x x) 4) 4) 1) (* 1 (* 4 x))) 1) (- (* (+ (* (* x x) 4) 4) 1) (* 1 (* 4 x))) (+ (* (* (+ (* 8 (pow x 3)) 8) (/ 1 (/ (- (* (+ (* (* x x) 4) 4) 1) (* 1 (* 4 x))) 1))) x) 2) (* (+ (* (* x x) 4) 4) 1) (+ (* (- 1 x) x) 1) (* (* -2 x) (+ (* (- 1 x) x) 1)) (+ (* (* x x) 4) 4) (+ (* 8 (pow x 3)) 8) (log (+ 1 (/ (* 2 x) (- 1 x)))))

simplify285.0ms (5.3%)

Memory
-19.0MiB live, 138.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04231433
112741156
241561050
08820976
Stop Event
iter limit
node limit
Counts
90 → 89
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/4 (* x (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4)))))
(* x (+ 1 (* x (+ (* 1/12 (* x (+ 16 (+ (* -24 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* -12 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))))))) (* 1/4 (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4))))))
(* x (+ 1 (* x (+ (* 1/4 (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4)) (* x (+ (* 1/48 (* x (- (+ (* -48 (pow (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) 2)) (+ (* 48 (+ (* -1 (* (+ (sqrt x) (* -1 (sqrt x))) (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x)))))))) (* x (+ 1 (+ (sqrt x) (* -1 (sqrt x))))))) (+ (* 96 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))) (* 192 (+ 1 (+ (sqrt x) (* -1 (sqrt x)))))))) 96))) (* 1/12 (+ 16 (+ (* -24 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* -12 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))))))))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(/ 1/2 x)
(/ (+ 1/2 (* -1/2 x)) x)
(/ (+ 1/2 (* x (- x 1/2))) x)
(/ (+ 1/2 (* x (- (* x (+ 1 (* -2 x))) 1/2))) x)
4
(+ 4 (* -4 x))
(+ 4 (* x (- (* 4 x) 4)))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 4 (* 4 (pow x 2)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* x (- (* 2 x) 2)) 2))
8
(+ 8 (* 8 (pow x 3)))
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(/ (+ x (* -1/4 (/ (+ (* 4 x) (* 4 (pow x 2))) x))) x)
(/ (+ x (+ (* -1/4 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (* 1/12 (/ (+ (* -12 (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))) (+ (* 16 (pow x 3)) (* 24 (pow x 2)))) (pow x 2))))) x)
(/ (+ x (+ (* -1/4 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (+ (* 1/48 (/ (- (+ (* 48 (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) (* 96 (* x (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))))) (+ (* 48 (pow x 2)) (+ (* 96 (pow x 4)) (* 192 (pow x 3))))) (pow x 3))) (* 1/12 (/ (+ (* -12 (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))) (+ (* 16 (pow x 3)) (* 24 (pow x 2)))) (pow x 2)))))) x)
(- 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 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))
(+ 1/2 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 4 (/ 4 (pow x 2))) (* 4 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 2) (+ 4 (* 4 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* 2 (pow x 3))
(* (pow x 3) (- 2 (* 2 (/ 1 x))))
(* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))
(* 8 (pow x 3))
(* (pow x 3) (+ 8 (* 8 (/ 1 (pow x 3)))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(/ -1 (pow (sqrt -1) 2))
(* -1 (/ (- (* 1/4 (/ (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4))))) (* -1/12 (/ (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))) x))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (- (+ (* -96 (/ (* x (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2))) (* 48 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (+ (* -192 (/ (pow x 3) (pow (sqrt -1) 6))) (+ (* 48 (/ (pow x 2) (pow (sqrt -1) 4))) (* 96 (/ (pow x 4) (pow (sqrt -1) 8)))))) x)) (* 1/12 (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))))) x)) (* -1/4 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))
(* (pow x 2) (+ 4 (* -1 (/ (- 4 (* 4 (/ 1 x))) x))))
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 2)))
(* -1 (* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
Outputs
x
(* x (+ 1 (* 1/4 (* x (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4)))))
x
(* x (+ 1 (* x (+ (* 1/12 (* x (+ 16 (+ (* -24 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* -12 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))))))) (* 1/4 (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4))))))
(*.f32 (fma.f32 (*.f32 x (*.f32 #s(literal 1/12 binary32) x)) (+.f32 #s(literal -20 binary32) (*.f32 #s(literal 12 binary32) x)) #s(literal 1 binary32)) x)
(* x (+ 1 (* x (+ (* 1/4 (- (* 4 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) 4)) (* x (+ (* 1/48 (* x (- (+ (* -48 (pow (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) 2)) (+ (* 48 (+ (* -1 (* (+ (sqrt x) (* -1 (sqrt x))) (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x)))))))) (* x (+ 1 (+ (sqrt x) (* -1 (sqrt x))))))) (+ (* 96 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))) (* 192 (+ 1 (+ (sqrt x) (* -1 (sqrt x)))))))) 96))) (* 1/12 (+ 16 (+ (* -24 (+ 1 (+ (sqrt x) (* -1 (sqrt x))))) (* -12 (- 1 (+ x (* (+ 1 (+ (sqrt x) (* -1 (sqrt x)))) (+ (sqrt x) (* -1 (sqrt x))))))))))))))))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 #s(literal 1/48 binary32) (+.f32 #s(literal -144 binary32) (fma.f32 #s(literal 48 binary32) x (fma.f32 #s(literal 96 binary32) (-.f32 #s(literal 1 binary32) x) #s(literal 192 binary32))))) x (*.f32 (+.f32 #s(literal -20 binary32) (*.f32 #s(literal 12 binary32) x)) #s(literal 1/12 binary32))) x) 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 (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(* x (+ 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)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* -1/2 x)) x)
(/.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x)
(/ (+ 1/2 (* x (- x 1/2))) x)
(/.f32 (fma.f32 (-.f32 x #s(literal 1/2 binary32)) x #s(literal 1/2 binary32)) x)
(/ (+ 1/2 (* x (- (* x (+ 1 (* -2 x))) 1/2))) x)
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 1 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x)
4
#s(literal 4 binary32)
(+ 4 (* -4 x))
(fma.f32 #s(literal -4 binary32) x #s(literal 4 binary32))
(+ 4 (* x (- (* 4 x) 4)))
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -4 binary32)) x #s(literal 4 binary32))
2
#s(literal 2 binary32)
(+ 2 (* 2 x))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
(+ 4 (* 4 (pow x 2)))
(fma.f32 (*.f32 #s(literal 4 binary32) x) x #s(literal 4 binary32))
1
#s(literal 1 binary32)
(+ 1 x)
(+.f32 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 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)
8
#s(literal 8 binary32)
(+ 8 (* 8 (pow x 3)))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 8 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(/ (+ x (* -1/4 (/ (+ (* 4 x) (* 4 (pow x 2))) x))) x)
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 x x x) x) x) x)
(/ (+ x (+ (* -1/4 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (* 1/12 (/ (+ (* -12 (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))) (+ (* 16 (pow x 3)) (* 24 (pow x 2)))) (pow x 2))))) x)
(/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal 16 binary32) x #s(literal 24 binary32)) (*.f32 #s(literal -12 binary32) x)) (*.f32 x x)) #s(literal 1/12 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 x x x) x) x)) x)
(/ (+ x (+ (* -1/4 (/ (+ (* 4 x) (* 4 (pow x 2))) x)) (+ (* 1/48 (/ (- (+ (* 48 (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) (* 96 (* x (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))))) (+ (* 48 (pow x 2)) (+ (* 96 (pow x 4)) (* 192 (pow x 3))))) (pow x 3))) (* 1/12 (/ (+ (* -12 (- x (* -1 (* (pow x 2) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))))))) (+ (* 16 (pow x 3)) (* 24 (pow x 2)))) (pow x 2)))))) x)
(/.f32 (+.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 96 binary32)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 192 binary32) x #s(literal 48 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 96 binary32)))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/48 binary32) (/.f32 (neg.f32 (fma.f32 x x x)) x)) (fma.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal 16 binary32) x #s(literal 24 binary32)) (*.f32 #s(literal -12 binary32) x)) x) (/.f32 #s(literal 1/12 binary32) x) x)) x)
(- 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))))
(fma.f32 #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) #s(literal -2 binary32)) (/.f32 #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 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal -4/9 binary32) x) #s(literal -1/3 binary32)) x))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (/.f32 (/.f32 #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 #s(literal 10/81 binary32) (pow.f32 x #s(literal 3 binary32))) (log.f32 #s(literal 3 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 8/9 binary32) x) x) (/.f32 #s(literal 2/3 binary32) x)))
(* -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 (fma.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) #s(literal -2 binary32)) (pow.f32 x #s(literal 3 binary32)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32))
(+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))
(+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) x))
(+ 1/2 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) (/.f32 #s(literal 1/2 binary32) x)))
(* 4 (pow x 2))
(*.f32 (*.f32 #s(literal 4 binary32) x) x)
(* (pow x 2) (- 4 (* 4 (/ 1 x))))
(*.f32 (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) x)) x) x)
(* (pow x 2) (- (+ 4 (/ 4 (pow x 2))) (* 4 (/ 1 x))))
(*.f32 (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) x)) x)) x) x)
(* 2 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 2 binary32))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f32 (*.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x)
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(*.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) #s(literal 2 binary32)) x) x)
(* (pow x 2) (+ 4 (* 4 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 #s(literal 4 binary32) x) x #s(literal 4 binary32))
(* -1 (pow x 2))
(*.f32 (neg.f32 x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(*.f32 (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x))
(* 2 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32))
(* (pow x 3) (- 2 (* 2 (/ 1 x))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) (pow.f32 x #s(literal 3 binary32)))
(* 8 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))
(* (pow x 3) (+ 8 (* 8 (/ 1 (pow x 3)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 8 binary32))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32)))
(/ -1 (pow (sqrt -1) 2))
#s(literal 1 binary32)
(* -1 (/ (- (* 1/4 (/ (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(neg.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 (*.f32 #s(literal 4 binary32) (fma.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) x)) x) #s(literal -1 binary32)))
(* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4))))) (* -1/12 (/ (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))) x))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(/.f32 (+.f32 (/.f32 (fma.f32 (-.f32 #s(literal 12 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 24 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -16 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)))) x)) #s(literal -1/12 binary32) (*.f32 #s(literal -1 binary32) (fma.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) x))) x) x) x)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (- (+ (* -96 (/ (* x (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2))) (* 48 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (+ (* -192 (/ (pow x 3) (pow (sqrt -1) 6))) (+ (* 48 (/ (pow x 2) (pow (sqrt -1) 4))) (* 96 (/ (pow x 4) (pow (sqrt -1) 8)))))) x)) (* 1/12 (- (* 12 (- (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 4))))) (+ (* -16 (/ (pow x 3) (pow (sqrt -1) 6))) (* 24 (/ (pow x 2) (pow (sqrt -1) 4))))))) x)) (* -1/4 (+ (* -4 (/ x (pow (sqrt -1) 2))) (* 4 (/ (pow x 2) (pow (sqrt -1) 4)))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))
(/.f32 (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (fma.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) x)) (/.f32 (fma.f32 (fma.f32 #s(literal 12 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32))) #s(literal 16 binary32) (*.f32 (*.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) #s(literal -24 binary32)))) #s(literal 1/12 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -96 binary32) x) (neg.f32 x)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (/.f32 #s(literal 96 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 48 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -192 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)))))) x) #s(literal -1/48 binary32))) x)) x) x) 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 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x)) x))
(+ (log 3) (* -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) (- 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)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) x))
(* (pow x 2) (+ 4 (* -1 (/ (- 4 (* 4 (/ 1 x))) x))))
(*.f32 (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) x)) x)) x) x)
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 2)))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)))
(*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) x))) (pow.f32 x #s(literal 3 binary32)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) #s(literal 2/3 binary32)) x) x)) x))

rewrite238.0ms (4.4%)

Memory
3.6MiB live, 233.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055359
088325
1389309
23196309
010074289
Stop Event
iter limit
node limit
iter limit
Counts
19 → 687
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) x)
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))))))
(log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32))
(-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x)))
(fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32))
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32))
(fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x)))
Outputs
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) x)
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #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(approx (+ (* (- 1 x) x) 1) #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 (/.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal -2 binary32)) x) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal -2 binary32)) x) (-.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(literal -2 binary32) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) x))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -2 binary32)) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x))
(*.f32 (*.f32 #s(literal 1 binary32) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (pow.f32 (/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x)) #s(literal -1/2 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #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 -1/2 binary32) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x))) (/.f32 #s(literal -1 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) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (- 1 x) x) 1) #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))))) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x)) #s(literal 1 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal -2 binary32)) x))
(*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #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)))) (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) x))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) x))))
(*.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #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 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #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 -2 binary32) x) (/.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #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 2 binary32) x) (/.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 #s(literal -2 binary32) (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #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) (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal -2 binary32)) x)) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #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) (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) x)) (-.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)))) (/.f32 #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x)))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) x)))
(/.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal -2 binary32)) x) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal -2 binary32)) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) x) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(/.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #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 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x)))
(pow.f32 (pow.f32 (/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) x)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x)) #s(literal -1 binary32))
(pow.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32))
(exp.f32 (log.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(neg.f32 (/.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal -2 binary32)) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x))))
(neg.f32 (/.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) x) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))
(log.f32 (fma.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)))
(-.f32 (log.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x)) #s(literal -2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x)) #s(literal -2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))))
(-.f32 (log.f32 (neg.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x)) #s(literal -3 binary32))) (log.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal -1/2 binary32)) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x)) #s(literal -3 binary32))) (log1p.f32 (*.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32)))))
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(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (/.f32 x (*.f32 #s(literal 4 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))) (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) #s(literal 2 binary32)) x)))

eval123.0ms (2.3%)

Memory
14.1MiB live, 133.6MiB allocated
Compiler

Compiled 23 066 to 3 903 computations (83.1% saved)

prune29.0ms (0.5%)

Memory
-5.1MiB live, 70.2MiB allocated
Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New5337540
Fresh11011
Picked145
Done134
Total53624560
Accuracy
97.4%
Counts
560 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.9%
(*.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32))
65.2%
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32))
21.3%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)) #s(literal -2 binary32)) x)))))
91.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
90.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
65.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
77.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 x (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal -2 binary32)) x)) (neg.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x)))))))
90.3%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))))))
90.2%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) #s(approx (* (* -2 x) (+ (* (- 1 x) x) 1)) (*.f32 #s(literal -2 binary32) x))))))
96.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (- (pow x 3) 1) (* (* -2 x) (+ (* (- 1 x) x) 1))) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 1 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x)))))
97.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
97.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
11.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x))))
11.3%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x))))
11.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 (*.f32 #s(literal 4 binary32) x) x))))) x #s(literal 2 binary32)) x))))
12.3%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 #s(literal 4 binary32) x) x (fma.f32 #s(literal -4 binary32) x #s(literal 4 binary32))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x))))
11.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (+.f32 (*.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x))))
97.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(approx (* (+ (* 8 (pow x 3)) 8) (/ 1 (+ (* (* x 4) x) (- 4 (* x 4))))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x #s(literal 2 binary32)) x))))
82.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) x) (*.f32 #s(literal 4 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) x) (*.f32 #s(literal 4 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))) x))))
60.6%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (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))
7.7%
#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)))
97.1%
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) x)
7.5%
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) #s(literal 1 binary32))
Compiler

Compiled 1 821 to 803 computations (55.9% saved)

regimes57.0ms (1.1%)

Memory
14.8MiB live, 96.6MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) #s(literal 1 binary32))
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) 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)))
#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)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (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))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(approx (* (+ (* 8 (pow x 3)) 8) (/ 1 (+ (* (* x 4) x) (- 4 (* x 4))))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x #s(literal 2 binary32)) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (- (pow x 3) 1) (* (* -2 x) (+ (* (- 1 x) x) 1))) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 1 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (/.f32 x (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal -2 binary32)) x)) (neg.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) x)))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) #s(approx (* (* -2 x) (+ (* (- 1 x) x) 1)) (*.f32 #s(literal -2 binary32) x))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) x) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.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 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 (*.f32 #s(literal 4 binary32) x) x))))) x #s(literal 2 binary32)) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (+.f32 (*.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 #s(literal 4 binary32) x) x (fma.f32 #s(literal -4 binary32) x #s(literal 4 binary32))) #s(literal 1 binary32)))) x #s(literal 2 binary32)) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 4 binary32) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) x))) #s(literal 1 binary32)))) x #s(literal 2 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)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x) (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -2 binary32) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #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 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1 binary32)) #s(literal -2 binary32)) x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) x) (/.f32 #s(literal 1 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 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) x) (*.f32 #s(literal 4 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) x) (*.f32 #s(literal 4 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))) x))))
Outputs
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) x)
Calls

4 calls:

19.0ms
x
15.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
11.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
10.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Results
AccuracySegmentsBranch
97.1%1x
97.1%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
97.1%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
97.1%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes5.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) #s(literal 1 binary32))
Outputs
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) #s(literal 1 binary32))
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
(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
x
Results
AccuracySegmentsBranch
7.5%1x
7.5%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
7.5%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
7.5%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify51.0ms (1%)

Memory
-2.0MiB live, 73.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02060
13960
27360
316060
449560
5185160
6596160
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) x)
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) #s(literal 1 binary32))
Outputs
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) x)
#s(approx (* 1/2 (log (+ 1 (* (/ (+ (* (- 1 x) x) 1) (+ (pow x 3/2) 1)) (/ (* -2 x) (- (pow x 3/2) 1)))))) #s(literal 1 binary32))

soundness530.0ms (9.9%)

Memory
-33.1MiB live, 294.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01528
15428
240428
3559728
0863928
06442816
120102136
268261881
086571738
042287
073281
1287281
22492281
09319273
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 99 to 52 computations (47.5% saved)

preprocess13.0ms (0.2%)

Memory
22.2MiB live, 22.2MiB allocated
Compiler

Compiled 140 to 60 computations (57.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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