Rust f32::atanh

Time bar (total: 4.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
1.5MiB live, 1.5MiB 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)

sample599.0ms (13.2%)

Memory
-18.4MiB live, 428.0MiB allocated
Samples
413.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-atanh: 71.0ms (89.3% of total)
ival-true: 6.0ms (7.5% of total)
ival-assert: 3.0ms (3.8% of total)
Bogosity

explain103.0ms (2.3%)

Memory
24.9MiB live, 103.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
330-33(-0.02388928458094597)(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 -
+051
-0205
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+0051
-00205
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
30.0ms512×0valid
Compiler

Compiled 92 to 31 computations (66.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (38.6% of total)
ival-div: 4.0ms (22% of total)
ival-log1p: 4.0ms (22% of total)
ival-sub: 3.0ms (16.5% of total)
exact: 1.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess25.0ms (0.6%)

Memory
-8.6MiB live, 30.3MiB 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
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(*.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
14.8MiB live, 14.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01535
12435
23135
33735
44435
55835
69635
716335
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)

localize26.0ms (0.6%)

Memory
-0.5MiB live, 39.9MiB 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))))
accuracy0.04296875
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
accuracy1.72400156359659
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
Samples
20.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 5.0ms (35% of total)
ival-mult: 5.0ms (35% of total)
ival-div: 2.0ms (14% of total)
ival-log1p: 2.0ms (14% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-27.4MiB live, 10.0MiB 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
3.0ms
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))

simplify153.0ms (3.4%)

Memory
6.0MiB live, 196.9MiB 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)))

rewrite158.0ms (3.5%)

Memory
19.0MiB live, 177.9MiB 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))))))
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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))

eval51.0ms (1.1%)

Memory
0.7MiB live, 39.6MiB allocated
Compiler

Compiled 4 257 to 822 computations (80.7% saved)

prune44.0ms (1%)

Memory
6.0MiB live, 56.6MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1806186
Fresh000
Picked101
Done000
Total1816187
Accuracy
98.2%
Counts
187 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.3%
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
97.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
71.0%
(*.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))))))
93.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
98.1%
(*.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))))
98.1%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
Compiler

Compiled 232 to 162 computations (30.2% saved)

simplify148.0ms (3.3%)

Memory
2.0MiB live, 199.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
cost-diff0
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
cost-diff1
(*.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 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
cost-diff1
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
cost-diff2
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
cost-diff11
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
cost-diff0
(*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
cost-diff0
(log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
cost-diff2
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
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
041360
076301
1137301
2243301
3475301
4948301
52205301
64853301
08135295
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
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
(*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
#s(literal 2 binary32)
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
x
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
Outputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
x
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.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
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(*.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
x
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32))))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(log1p.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.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)

localize116.0ms (2.6%)

Memory
8.4MiB live, 200.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
accuracy0.06640625
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
accuracy1.6868390585185227
(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)))))
accuracy1.750163864162517
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
accuracy0.0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
accuracy0.0078125
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy1.72400156359659
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
accuracy1.728863897922929
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
accuracy0.0
(*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
accuracy0.0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
accuracy0.04296875
(/.f32 x (-.f32 #s(literal 1 binary32) x))
accuracy1.72400156359659
(log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
accuracy0.48257229081844727
#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))
accuracy1.7235375812033096
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
accuracy1.72400156359659
(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)))
accuracy1.7364083165642037
(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)))
accuracy0.6193985960613654
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
Samples
77.0ms256×0valid
Compiler

Compiled 353 to 39 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 29.0ms (46.4% of total)
ival-div: 13.0ms (20.8% of total)
ival-log1p: 7.0ms (11.2% of total)
ival-add: 5.0ms (8% of total)
ival-sub: 4.0ms (6.4% of total)
ival-pow: 4.0ms (6.4% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
-15.6MiB live, 20.9MiB allocated
Counts
25 → 96
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)
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
(*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.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))))
(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))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 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)))))))
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(* x (+ 2 (* 2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(* 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))))
(* x (+ 1 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
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
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
(* -2 (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 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)
(* -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 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(* -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)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
Calls

3 calls:

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

simplify210.0ms (4.6%)

Memory
-2.3MiB live, 201.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03251062
110111022
22617981
36146965
08507894
Stop Event
iter limit
node limit
Counts
96 → 95
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)))))))
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(* x (+ 2 (* 2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(* 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))))
(* x (+ 1 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
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
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
(* -2 (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 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)
(* -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 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(* -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)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) 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)
(* x (+ 1 x))
(fma.f32 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f32 (fma.f32 x x x) x x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(fma.f32 (fma.f32 (fma.f32 x x x) x x) x x)
(* x (+ 2 (* 2 (pow x 2))))
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 2 binary32) #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 (+ 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)
(* 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))
(* x (+ 1 (pow x 2)))
(+.f32 (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) x)
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 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32)))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 (/.f32 #s(literal -2 binary32) x) #s(literal 2 binary32))
(- (* -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 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) 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 #s(literal 2 binary32) (*.f32 (fma.f32 x x 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
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 x)))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)))
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 2 binary32)) x) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
(*.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 2 binary32)) x) (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32)))
(* -2 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32))
(* (pow x 3) (- (* 2 (/ 1 x)) 2))
(*.f32 (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 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)
(*.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 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 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)))
(* -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 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) x) #s(literal 1 binary32))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 2 binary32)) x) x)) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(/.f32 (-.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 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))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) x)

rewrite196.0ms (4.3%)

Memory
6.4MiB live, 262.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041316
076257
1299257
22162257
08376257
Stop Event
iter limit
node limit
iter limit
Counts
25 → 563
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)
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
(*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.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))))
(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))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 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)))))
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(/.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 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))

eval74.0ms (1.6%)

Memory
1.5MiB live, 162.1MiB allocated
Compiler

Compiled 13 969 to 2 310 computations (83.5% saved)

prune64.0ms (1.4%)

Memory
2.5MiB live, 46.9MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New4747481
Fresh101
Picked235
Done000
Total47710487
Accuracy
99.6%
Counts
487 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.2%
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 2 binary32)))))))
97.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
97.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
97.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
97.2%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
71.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
98.1%
(*.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))))
12.8%
(*.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))))
82.8%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
98.1%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
Compiler

Compiled 493 to 303 computations (38.5% saved)

simplify158.0ms (3.5%)

Memory
8.7MiB live, 220.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) 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 x (-.f32 #s(literal 1 binary32) 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 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
cost-diff1
(*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
cost-diff1
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
cost-diff2
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
cost-diff2
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
cost-diff1
(*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x))
cost-diff2
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
cost-diff8
(fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32))))
cost-diff10
(/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
cost-diff1
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
cost-diff2
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
cost-diff2
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
cost-diff7
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
cost-diff0
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
cost-diff0
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
cost-diff0
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))
cost-diff0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066770
0119703
1220681
2501629
31503627
44986627
08324593
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
#s(literal -10/3 binary32)
(*.f32 x x)
x
#s(literal 2 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
x
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32))))
(*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x))
(*.f32 x #s(literal 2 binary32))
x
#s(literal 2 binary32)
(neg.f32 x)
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
x
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x)))
#s(literal 2 binary32)
#s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x)
(-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x))
#s(literal -1 binary32)
(/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x)
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) x) x)
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) 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 x (-.f32 #s(literal 1 binary32) 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 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
Outputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
(*.f32 #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
(fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32))
#s(literal -10/3 binary32)
(*.f32 x x)
x
#s(literal 2 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x x))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x x)))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x x))
x
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
(neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 x (fma.f32 x x #s(literal -1 binary32)))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(fma.f32 x x #s(literal -1 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x x))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x x)))
(/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x x))
(fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32))))
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) (-.f32 x (pow.f32 x #s(literal 3 binary32))))
(*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x))
(*.f32 #s(literal -2 binary32) (*.f32 x x))
(*.f32 x #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) x)
x
#s(literal 2 binary32)
(neg.f32 x)
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))
(*.f32 (-.f32 x (pow.f32 x #s(literal 3 binary32))) #s(literal -2 binary32))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(fma.f32 x x #s(literal -1 binary32))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 (log1p.f32 (*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(log1p.f32 (*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x))
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)
x
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x)))
(*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x)) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x)
(-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x))
#s(literal -1 binary32)
(/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x)
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) x) x)
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 (fma.f32 x (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) 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 x (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(/.f32 (*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) 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 x (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(*.f32 (fma.f32 x (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 2 binary32)) x)
(fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
(-.f32 x (fma.f32 x x #s(literal -1 binary32)))
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
(*.f32 x #s(literal 2 binary32))
(*.f32 #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)

localize170.0ms (3.7%)

Memory
-9.0MiB live, 185.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(/.f32 (*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
accuracy0.06640625
(*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
accuracy1.750163864162517
(fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
accuracy1.80950579562004
(log1p.f32 (/.f32 (*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
accuracy0.13671875
(/.f32 (/.f32 #s(literal 1 binary32) x) x)
accuracy2.003959888469728
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
accuracy5.613181868937459
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
accuracy31.244332576519827
#s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))
accuracy0.02734375
(/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
accuracy0.05078125
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy2.496149665495631
(log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
accuracy19.837735899225954
(fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32))))
accuracy0.0078125
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy0.0078125
(/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
accuracy3.4448682872233705
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
accuracy25.542861232625967
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
accuracy0.0
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
accuracy0.015625
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
accuracy0.5775707873010048
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))
accuracy1.121683364898416
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
Samples
109.0ms256×0valid
Compiler

Compiled 707 to 61 computations (91.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 34.0ms (39.9% of total)
ival-div: 17.0ms (19.9% of total)
ival-log1p: 10.0ms (11.7% of total)
ival-add: 8.0ms (9.4% of total)
ival-sub: 5.0ms (5.9% of total)
const: 4.0ms (4.7% of total)
ival-pow: 4.0ms (4.7% of total)
ival-neg: 3.0ms (3.5% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.3%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
27 → 115
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32))))
(*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x))
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) 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 x (-.f32 #s(literal 1 binary32) 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 x (-.f32 #s(literal 1 binary32) 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 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
#s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(/.f32 (/.f32 #s(literal 1 binary32) x) x)
(fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
Outputs
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
2
(+ 2 (* -10/3 (pow x 2)))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* x (+ 2 (* 2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
-1
(- (pow x 2) 1)
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* x (- (* 2 x) 2)) 2))
(* x (- (* x (- (* x (+ 2 (* 2 x))) 2)) 2))
(* -2 (pow x 2))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(* 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))))))))
(* -1 x)
(* x (- (* -1 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
(* x (+ 1 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
(- (* 2 (pow x 2)) 1)
(- (* (pow x 2) (+ 2 (* -1 (pow x 2)))) 1)
(/ 1 (pow x 2))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
(* -10/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3))
(* -10/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* 2 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 x))))
(* (pow x 4) (- (+ 2 (* 2 (/ 1 x))) (/ 2 (pow x 2))))
(* (pow x 4) (+ 2 (+ (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (* 2 (/ 1 x)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -2 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(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 x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)
(* -1 (pow x 4))
(* (pow x 4) (- (* 2 (/ 1 (pow x 2))) 1))
(* (pow x 4) (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 1 (pow x 4)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(+ (* -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) (- 10/3 (* 2 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(* (pow x 4) (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))))
(* (pow x 4) (+ 2 (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) x))))
(+ (* -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)))))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x))))))) (neg (- 1 (* x x))) (* 2 (/ x (- 1 (* x x)))) (/ (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (* (neg (- 1 (* x x))) (- 1 (* x x)))) (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (* (* x 2) (neg x)) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* (+ (* x (- 1 x)) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* (+ (* x (- 1 x)) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* x (- 1 x)) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* x (- 1 x)) 1) (* x 2)) (- 1 (pow x 3))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))))) (/ x (neg (- 1 (* x x)))) (/ x (- 1 (* x x))) (log (+ 1 (/ (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (* (neg (- 1 (* x x))) (- 1 (* x x)))))) (* (neg (- 1 (* x x))) (- 1 (* x x))) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (/ (/ 1 x) x) (+ (* x (- 1 x)) 1))
3.0ms
x
@0
((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x))))))) (neg (- 1 (* x x))) (* 2 (/ x (- 1 (* x x)))) (/ (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (* (neg (- 1 (* x x))) (- 1 (* x x)))) (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (* (* x 2) (neg x)) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* (+ (* x (- 1 x)) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* (+ (* x (- 1 x)) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* x (- 1 x)) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* x (- 1 x)) 1) (* x 2)) (- 1 (pow x 3))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))))) (/ x (neg (- 1 (* x x)))) (/ x (- 1 (* x x))) (log (+ 1 (/ (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (* (neg (- 1 (* x x))) (- 1 (* x x)))))) (* (neg (- 1 (* x x))) (- 1 (* x x))) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (/ (/ 1 x) x) (+ (* x (- 1 x)) 1))
3.0ms
x
@-inf
((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x))))))) (neg (- 1 (* x x))) (* 2 (/ x (- 1 (* x x)))) (/ (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (* (neg (- 1 (* x x))) (- 1 (* x x)))) (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (* (* x 2) (neg x)) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* (+ (* x (- 1 x)) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* (+ (* x (- 1 x)) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* x (- 1 x)) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* x (- 1 x)) 1) (* x 2)) (- 1 (pow x 3))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))))) (/ x (neg (- 1 (* x x)))) (/ x (- 1 (* x x))) (log (+ 1 (/ (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (* (neg (- 1 (* x x))) (- 1 (* x x)))))) (* (neg (- 1 (* x x))) (- 1 (* x x))) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (/ (/ 1 x) x) (+ (* x (- 1 x)) 1))

simplify163.0ms (3.6%)

Memory
-23.2MiB live, 166.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03511309
110661257
227781217
366301207
080511146
Stop Event
iter limit
node limit
Counts
115 → 114
Calls
Call 1
Inputs
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
2
(+ 2 (* -10/3 (pow x 2)))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* x (+ 2 (* 2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
-1
(- (pow x 2) 1)
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* x (- (* 2 x) 2)) 2))
(* x (- (* x (- (* x (+ 2 (* 2 x))) 2)) 2))
(* -2 (pow x 2))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(* 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))))))))
(* -1 x)
(* x (- (* -1 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
(* x (+ 1 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
(- (* 2 (pow x 2)) 1)
(- (* (pow x 2) (+ 2 (* -1 (pow x 2)))) 1)
(/ 1 (pow x 2))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
(* -10/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3))
(* -10/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* 2 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 x))))
(* (pow x 4) (- (+ 2 (* 2 (/ 1 x))) (/ 2 (pow x 2))))
(* (pow x 4) (+ 2 (+ (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (* 2 (/ 1 x)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -2 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(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 x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)
(* -1 (pow x 4))
(* (pow x 4) (- (* 2 (/ 1 (pow x 2))) 1))
(* (pow x 4) (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 1 (pow x 4)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(+ (* -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) (- 10/3 (* 2 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(* (pow x 4) (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))))
(* (pow x 4) (+ 2 (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) x))))
(+ (* -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)))))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
Outputs
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)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -10/3 (pow x 2))))
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(* 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)
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2
#s(literal 2 binary32)
(+ 2 (* -10/3 (pow x 2)))
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(* 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)
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(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x)
(* x (+ 2 (* 2 (pow x 2))))
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(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
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(+ 1 x)
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#s(literal -2 binary32)
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(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
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(pow x 2)
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(* (pow x 2) (- 1 (/ 1 (pow x 2))))
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(* (pow x 4) (+ 2 (* 2 (/ 1 x))))
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(* (pow x 4) (- (+ 2 (* 2 (/ 1 x))) (/ 2 (pow x 2))))
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(+ (* 1/2 (log -1)) (/ 1 x))
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(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
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(* -2 (pow x 3))
(*.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (* 2 (/ 1 x)) 2))
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(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32)))
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(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)))
(log -1)
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(+ (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 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
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(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
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(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal 1 binary32)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)
(/.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (pow.f32 x #s(literal 4 binary32)))) x)
(* -1 (pow x 4))
(neg.f32 (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (- (* 2 (/ 1 (pow x 2))) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))
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(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 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 x x)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x))) (*.f32 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 #s(literal 4/9 binary32) (/.f32 #s(literal 5/81 binary32) x)) 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) (- 10/3 (* 2 (/ 1 (pow x 2))))))
(*.f32 (-.f32 #s(literal -10/3 binary32) (/.f32 (/.f32 #s(literal -2 binary32) x) x)) (pow.f32 x #s(literal 3 binary32)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) (-.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal 1 binary32)))
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(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) #s(literal -2 binary32)) x) x)) x)
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(/.f32 (-.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) #s(literal -2 binary32)) x) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(* (pow x 4) (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))))
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(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32)))
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(*.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)))
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(-.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))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
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(/.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) x)

rewrite270.0ms (6%)

Memory
-13.6MiB live, 364.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064502
0115476
1459425
23460425
08947420
Stop Event
iter limit
node limit
iter limit
Counts
27 → 667
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32))))
(*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x))
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) 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 x (-.f32 #s(literal 1 binary32) 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 x (-.f32 #s(literal 1 binary32) 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 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
#s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(/.f32 (/.f32 #s(literal 1 binary32) x) x)
(fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
Outputs
(*.f32 #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)))
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)
(*.f32 x (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)))
(/.f32 (neg.f32 (*.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal -4 binary32)) x)) (neg.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal -2 binary32))))
(/.f32 (neg.f32 (*.f32 (fma.f32 #s(literal -1000/27 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32)) x)) (neg.f32 (-.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal -20/3 binary32)))))
(/.f32 (neg.f32 (*.f32 x (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal -4 binary32)))) (neg.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal -2 binary32))))
(/.f32 (neg.f32 (*.f32 x (fma.f32 #s(literal -1000/27 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32)))) (neg.f32 (-.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal -20/3 binary32)))))
(/.f32 (*.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal -4 binary32)) x) (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal -2 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal -1000/27 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32)) x) (-.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal -20/3 binary32))))
(/.f32 (*.f32 x (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal -4 binary32))) (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal -2 binary32)))
(/.f32 (*.f32 x (fma.f32 #s(literal -1000/27 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32))) (-.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal -20/3 binary32))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -10/3 binary32)) x (*.f32 #s(literal 2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (*.f32 (*.f32 (*.f32 x x) #s(literal -10/3 binary32)) x))
(fma.f32 #s(literal 2 binary32) x (*.f32 x (*.f32 (*.f32 x x) #s(literal -10/3 binary32))))
(fma.f32 x (*.f32 (*.f32 x x) #s(literal -10/3 binary32)) (*.f32 #s(literal 2 binary32) x))
(fma.f32 x #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -10/3 binary32)) x))
(fma.f32 x #s(literal 2 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -10/3 binary32))))
(+.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -10/3 binary32)) x) (*.f32 #s(literal 2 binary32) x))
(+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -10/3 binary32))) (*.f32 #s(literal 2 binary32) x))
(+.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 (*.f32 (*.f32 x x) #s(literal -10/3 binary32)) x))
(+.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 x (*.f32 (*.f32 x x) #s(literal -10/3 binary32))))
(*.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal -2 binary32))))
(*.f32 (fma.f32 #s(literal -1000/27 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal -20/3 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32))))) (neg.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) #s(literal -10/3 binary32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal -4 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal -2 binary32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal -1000/27 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32)))) (neg.f32 (neg.f32 (-.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal -20/3 binary32))))))
(/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) #s(literal -10/3 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal -4 binary32))) (neg.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal -2 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1000/27 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32))) (neg.f32 (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (*.f32 x x) #s(literal -20/3 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1000/27 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32))) (neg.f32 (-.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal -20/3 binary32)))))
(/.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal -4 binary32)) (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal -2 binary32)))
(/.f32 (fma.f32 #s(literal -1000/27 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (*.f32 x x) #s(literal -20/3 binary32)))))
(/.f32 (fma.f32 #s(literal -1000/27 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32)) (-.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal -20/3 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal -2 binary32)) (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal -4 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal -20/3 binary32))) (fma.f32 #s(literal -1000/27 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal -2 binary32)) (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal -4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal -20/3 binary32))) (fma.f32 #s(literal -1000/27 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32))))
(-.f32 (/.f32 (*.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal -2 binary32))) (/.f32 #s(literal 4 binary32) (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal -2 binary32))))
(fma.f32 (*.f32 #s(literal -10/3 binary32) x) x #s(literal 2 binary32))
(fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32))
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32))
(fma.f32 x (*.f32 #s(literal -10/3 binary32) x) #s(literal 2 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal -2 binary32)) (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal -4 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (fma.f32 #s(literal 100/9 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal -20/3 binary32))) (fma.f32 #s(literal -1000/27 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 (*.f32 x x) #s(literal -10/3 binary32)) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) #s(literal -10/3 binary32)))
(*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))))
(*.f32 (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) x) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (-.f32 x #s(literal 1 binary32)))))
(*.f32 (fma.f32 (pow.f32 (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 3 binary32)) #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x))))))
(*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (+.f32 x #s(literal 1 binary32)))
(*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) x) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) #s(literal 2 binary32))))) (neg.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (-.f32 x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 3 binary32)) #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (pow.f32 (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) x) #s(literal 2 binary32)))) (neg.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) x) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (-.f32 x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (pow.f32 (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 3 binary32)) #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (pow.f32 (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x)))))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) x) (*.f32 #s(literal -2 binary32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
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(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32))
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eval160.0ms (3.5%)

Memory
32.3MiB live, 144.4MiB allocated
Compiler

Compiled 33 976 to 4 255 computations (87.5% saved)

prune79.0ms (1.7%)

Memory
-24.8MiB live, 54.8MiB allocated
Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New8155820
Fresh022
Picked145
Done033
Total81614830
Accuracy
99.6%
Counts
830 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.2%
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 2 binary32)))))))
44.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
97.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
97.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
97.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
97.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))))))))
97.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
86.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
81.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
97.2%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
98.1%
(*.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))))
12.5%
(*.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))))
76.6%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
98.1%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
Compiler

Compiled 592 to 369 computations (37.7% saved)

simplify145.0ms (3.2%)

Memory
27.5MiB live, 149.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff1
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
cost-diff2
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))))))
cost-diff3
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))
cost-diff11
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))))))
cost-diff1
(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x))))
cost-diff2
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
cost-diff2
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
cost-diff11
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
cost-diff1
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
cost-diff2
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
cost-diff2
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
cost-diff11
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
cost-diff1
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
cost-diff1
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
cost-diff11
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
cost-diff1
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
cost-diff2
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
cost-diff2
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
cost-diff2
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050750
099706
1189566
2352563
3937563
43236491
56896491
08114464
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
x
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))
#s(literal 2 binary32)
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
#s(literal 1 binary32)
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
x
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
x
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(neg.f32 x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
x
(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x))))
#s(literal 2 binary32)
(/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))
(neg.f32 x)
(+.f32 #s(literal -1 binary32) (*.f32 x x))
#s(literal -1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
#s(literal 1 binary32)
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))))))))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))))))))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))))))
x
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))))))
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))))
(neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))))
(/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))
#s(literal -1 binary32)
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
(*.f32 (log1p.f32 (*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(log1p.f32 (*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x))
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)
x
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))
(*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
#s(literal 1 binary32)
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
(neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 x (fma.f32 x x #s(literal -1 binary32)))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(fma.f32 x x #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)
x
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)
x
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
(neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 x (fma.f32 x x #s(literal -1 binary32)))
(neg.f32 x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)
x
(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
#s(literal 2 binary32)
(/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(neg.f32 x)
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
#s(literal 1 binary32)
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
(neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 x (fma.f32 x x #s(literal -1 binary32)))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(fma.f32 x x #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))))))))
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))))))))
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))))))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)
x
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x)
(neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))
(/.f32 x (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)

localize226.0ms (5%)

Memory
-22.1MiB live, 174.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy0.0078125
(/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))
accuracy1.72400156359659
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))))))))
accuracy1.728863897922929
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))))))
accuracy0.0078125
(/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))
accuracy0.0078125
(/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
accuracy1.72400156359659
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
accuracy1.728863897922929
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
accuracy0.0078125
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy0.0078125
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy1.72400156359659
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
accuracy1.728863897922929
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
accuracy0.0078125
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy0.0078125
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy1.72400156359659
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
accuracy1.728863897922929
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
accuracy0.0078125
(/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
accuracy1.72400156359659
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
accuracy1.728863897922929
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
accuracy30.988166135918572
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
Samples
118.0ms256×0valid
Compiler

Compiled 767 to 49 computations (93.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-add: 30.0ms (31.8% of total)
ival-mult: 27.0ms (28.6% of total)
ival-div: 23.0ms (24.4% of total)
ival-log1p: 8.0ms (8.5% of total)
ival-neg: 5.0ms (5.3% of total)
ival-sub: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
26 → 58
Calls
Call 1
Inputs
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x))))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))))))
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))))))))
(/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))
Outputs
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* x (+ 2 (* 2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
-1
(- (pow x 2) 1)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* -1 x)
(* x (- (* -1 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
(* x (+ 1 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(/ 1 x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
(+ (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
((+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x))))))) (neg (- 1 (* x x))) (* 2 (neg (/ x (neg (- 1 (* x x)))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))) (* 2 (/ x (- 1 (* x x)))) (/ (* 2 x) (- 1 (* x x))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x)))))) (/ (neg x) (- 1 (* x x))) (+ (* x (* 2 (/ (neg x) (+ -1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))) (* 2 (/ (neg x) (+ -1 (* x x)))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (* (- 1 (* x x)) -1)))))) (* (- 1 (* x x)) -1) (* 1 (* 2 (neg (/ x (* (- 1 (* x x)) -1))))) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))))) (/ x (neg (- 1 (* x x)))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))))) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ (neg x) (+ -1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))))) (/ (neg x) (+ -1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (* (- 1 (* x x)) -1)))))))) (/ x (* (- 1 (* x x)) -1)))
2.0ms
x
@-inf
((+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x))))))) (neg (- 1 (* x x))) (* 2 (neg (/ x (neg (- 1 (* x x)))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))) (* 2 (/ x (- 1 (* x x)))) (/ (* 2 x) (- 1 (* x x))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x)))))) (/ (neg x) (- 1 (* x x))) (+ (* x (* 2 (/ (neg x) (+ -1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))) (* 2 (/ (neg x) (+ -1 (* x x)))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (* (- 1 (* x x)) -1)))))) (* (- 1 (* x x)) -1) (* 1 (* 2 (neg (/ x (* (- 1 (* x x)) -1))))) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))))) (/ x (neg (- 1 (* x x)))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))))) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ (neg x) (+ -1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))))) (/ (neg x) (+ -1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (* (- 1 (* x x)) -1)))))))) (/ x (* (- 1 (* x x)) -1)))
2.0ms
x
@0
((+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x))))))) (neg (- 1 (* x x))) (* 2 (neg (/ x (neg (- 1 (* x x)))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))) (* 2 (/ x (- 1 (* x x)))) (/ (* 2 x) (- 1 (* x x))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x)))))) (/ (neg x) (- 1 (* x x))) (+ (* x (* 2 (/ (neg x) (+ -1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))) (* 2 (/ (neg x) (+ -1 (* x x)))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (* (- 1 (* x x)) -1)))))) (* (- 1 (* x x)) -1) (* 1 (* 2 (neg (/ x (* (- 1 (* x x)) -1))))) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))))) (/ x (neg (- 1 (* x x)))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (/ (* 2 x) (- 1 (* x x)))))) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ (neg x) (+ -1 (* x x))))) (* 1 (* 2 (neg (/ x (neg (- 1 (* x x)))))))))) (/ (neg x) (+ -1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ x (* (- 1 (* x x)) -1)))))))) (/ x (* (- 1 (* x x)) -1)))

simplify183.0ms (4%)

Memory
15.5MiB live, 200.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189710
1559684
21469648
34324622
47843622
08229598
Stop Event
iter limit
node limit
Counts
58 → 57
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* x (+ 2 (* 2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
-1
(- (pow x 2) 1)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* -1 x)
(* x (- (* -1 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
(* x (+ 1 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(/ 1 x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) 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 (* 2 x)))))))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
(* x (+ 2 (* 2 (pow x 2))))
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(*.f32 #s(literal 2 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 1 binary32)) x))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(*.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 5 binary32)) x))
-1
#s(literal -1 binary32)
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
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))
(* -1 x)
(neg.f32 x)
(* x (- (* -1 (pow x 2)) 1))
(-.f32 (neg.f32 x) (pow.f32 x #s(literal 3 binary32)))
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(-.f32 (-.f32 (neg.f32 (pow.f32 x #s(literal 5 binary32))) (pow.f32 x #s(literal 3 binary32))) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 x x))) x)
(* x (+ 1 (pow x 2)))
(+.f32 (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 5 binary32)) x))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
-2
#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 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)))
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
(*.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f32 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 1/3 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)))))
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal -1 binary32)) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal -1 binary32))) x)
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal 1 binary32)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal -1 binary32)) x) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)
(*.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal -1 binary32)) x) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 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 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal 2 binary32) x) x))) x)
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))
(/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal -1 binary32)) x) x) #s(literal -1 binary32)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))
(/.f32 (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) (neg.f32 x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal -1 binary32)) x) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) 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))

rewrite398.0ms (8.8%)

Memory
-23.9MiB live, 425.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046415
091360
1368290
22160290
08120267
Stop Event
iter limit
node limit
iter limit
Counts
26 → 2 106
Calls
Call 1
Inputs
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x))))
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))))))
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))))))))
(/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))
Outputs
(*.f32 (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32)))))))
(*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -3 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32)))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))))) (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 #s(literal -8 binary32) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -3 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))) (neg.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -3 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -3 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 3 binary32))) (fma.f32 (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -2 binary32)) #s(literal 4 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32))))))))
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -3 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))))) (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32))) (fma.f32 #s(literal -8 binary32) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -3 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 3 binary32)))))
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32)))))) (/.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32)))))))
(-.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))))
(fma.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal -1 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal -1 binary32) (*.f32 x x)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))))
(fma.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal -1 binary32) (*.f32 x x)) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))))
(fma.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))))
(fma.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))))
(fma.f32 (*.f32 x #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 1 binary32)))
(fma.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))))
(fma.f32 #s(literal -2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))))
(fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))))
(fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) x)) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) x)) #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))))
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(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (fma.f32 x x #s(literal -1 binary32)) x)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) x)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x)))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (*.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal -1 binary32))
(/.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal -1 binary32)) x))
(/.f32 x (fma.f32 x x #s(literal -1 binary32)))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(-.f32 #s(literal 0 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(pow.f32 (/.f32 #s(literal -1 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x)) #s(literal -1 binary32)))
(neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))

eval176.0ms (3.9%)

Memory
7.5MiB live, 161.4MiB allocated
Compiler

Compiled 30 349 to 4 058 computations (86.6% saved)

prune74.0ms (1.6%)

Memory
10.5MiB live, 87.4MiB allocated
Pruning

20 alts after pruning (9 fresh and 11 done)

PrunedKeptTotal
New8607867
Fresh022
Picked145
Done077
Total86120881
Accuracy
99.6%
Counts
881 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.2%
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 2 binary32)))))))
97.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
45.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
97.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
97.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
81.2%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))))))))
97.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
48.1%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (+.f32 #s(literal 0 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
78.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
11.7%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal -1 binary32) (*.f32 x x))))))
85.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (-.f32 #s(literal -1 binary32) (*.f32 (neg.f32 x) x)))))))))
45.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
12.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
7.6%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))))))
97.5%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
91.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)))))
98.1%
(*.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))))
12.1%
(*.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) (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))))
94.5%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
98.1%
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
Compiler

Compiled 1 231 to 566 computations (54% saved)

regimes43.0ms (0.9%)

Memory
4.8MiB live, 53.2MiB allocated
Accuracy

Total -29.7b remaining (-4796.5%)

Threshold costs -29.7b (-4796.5%)

Counts
26 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
(*.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 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (-.f32 #s(literal -1 binary32) (*.f32 (neg.f32 x) x)))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (+.f32 #s(literal 0 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.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 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x 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 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal -1 binary32) (*.f32 x x))))))
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 2 binary32)))))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
Outputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
Calls

4 calls:

20.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
7.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
7.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
7.0ms
x
Results
AccuracySegmentsBranch
98.1%1x
98.1%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
98.1%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
98.1%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify92.0ms (2%)

Memory
-17.8MiB live, 60.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01216
12016
22716
33416
44516
56216
613816
739016
8408416
Stop Event
node 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)))
Outputs
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))

soundness172.0ms (3.8%)

Memory
-4.9MiB live, 33.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106302
1312290
2799282
32154280
44038280
56510280
08130260
Stop Event
fuel
iter limit
node limit
Compiler

Compiled 21 to 18 computations (14.3% saved)

preprocess13.0ms (0.3%)

Memory
12.2MiB live, 12.2MiB allocated
Compiler

Compiled 52 to 44 computations (15.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...