Rust f32::atanh

Time bar (total: 6.3s)

analyze1.0ms (0%)

Memory
3.8MiB live, 3.8MiB 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)

sample381.0ms (6.1%)

Memory
10.2MiB live, 684.5MiB allocated
Samples
243.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-atanh: 116.0ms (93.2% of total)
ival-true: 5.0ms (4% of total)
ival-assert: 3.0ms (2.4% of total)
Bogosity

preprocess26.0ms (0.4%)

Memory
-12.5MiB live, 68.6MiB allocated
Algorithm
egg-herbie
Rules
124×lower-fma.f64
124×lower-fma.f32
88×lower-*.f64
84×lower-*.f32
76×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1107
2147
3177
4217
5287
6357
0910
01510
12410
23110
33710
44410
55810
69610
716310
822110
924910
1026010
1127010
1227010
027010
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

explain84.0ms (1.3%)

Memory
4.8MiB live, 240.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary32)
00-0-#s(literal 2 binary32)
00-0-#s(literal 1/2 binary32)
00-0-(-.f32 #s(literal 1 binary32) x)
00-0-(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
00-0-(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
00-0-(*.f32 #s(literal 2 binary32) x)
00-0-(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
36.0ms512×0valid
Compiler

Compiled 104 to 40 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 7.0ms (32.3% of total)
ival-log1p: 6.0ms (27.7% of total)
ival-div: 4.0ms (18.5% of total)
ival-sub: 3.0ms (13.9% of total)
exact: 1.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify13.0ms (0.2%)

Memory
30.3MiB live, 30.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 #s(literal 2 binary32) x)
cost-diff0
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
cost-diff0
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
Rules
124×lower-fma.f64
124×lower-fma.f32
88×lower-*.f64
84×lower-*.f32
76×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01535
12435
23135
33735
44435
55835
69635
716335
822135
924935
1026035
1127035
1227035
027035
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
#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)

localize52.0ms (0.8%)

Memory
-15.8MiB live, 62.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f32 #s(literal 2 binary32) x)
accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
accuracy100.0%
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
accuracy99.8%
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Samples
42.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 27.0ms (74.5% of total)
ival-log1p: 5.0ms (13.8% of total)
ival-div: 3.0ms (8.3% of total)
ival-sub: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))>
#<alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))>
#<alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))>
#<alt (*.f32 #s(literal 2 binary32) x)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))>
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

12 calls:

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

rewrite278.0ms (4.4%)

Memory
-19.2MiB live, 574.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 286×lower-fma.f64
4 286×lower-fma.f32
3 506×lower-*.f64
3 502×lower-*.f32
2 126×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01528
15428
240428
3559528
0863628
Stop Event
iter limit
node limit
iter limit
Counts
4 → 162
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))
(*.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 1/2 binary32))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal 1 binary32))))
(log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))
(neg.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32))))
(neg.f32 (log.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32)))))
(+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))))))
(+.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 0 binary32))
(+.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))) (log1p.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))))))
(+.f32 (log.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))))) (log1p.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) #s(literal 1 binary32))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal -1 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))))) (log.f32 (neg.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32)))) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 (fma.f32 #s(literal 8 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) (*.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)))) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))) (-.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))) #s(literal 1 binary32)))))
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(-.f32 #s(literal 0 binary32) (*.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) x))
(*.f32 (neg.f32 x) #s(literal -2 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal -2 binary32) (neg.f32 x))

simplify504.0ms (8.1%)

Memory
13.0MiB live, 415.2MiB allocated
Algorithm
egg-herbie
Rules
12 938×lower-fma.f64
12 938×lower-fma.f32
3 522×lower-*.f64
3 522×lower-*.f32
2 748×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106404
1312390
2798382
32146380
44029380
56487380
08272358
Stop Event
iter limit
node limit
Counts
48 → 47
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2/3 binary32) (/.f32 #s(literal -2/5 binary32) (*.f32 x x))) (*.f32 x x)) #s(literal -2 binary32)) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(*.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 x (fma.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (fma.f32 x (*.f32 x x) x))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))

eval51.0ms (0.8%)

Memory
-1.2MiB live, 36.0MiB allocated
Compiler

Compiled 5 004 to 805 computations (83.9% saved)

prune42.0ms (0.7%)

Memory
15.4MiB live, 59.5MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2027209
Fresh000
Picked011
Done000
Total2028210
Accuracy
100.0%
Counts
210 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
99.3%
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
98.9%
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
99.2%
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
98.8%
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
97.4%
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))
99.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
99.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
Compiler

Compiled 193 to 123 computations (36.3% saved)

simplify534.0ms (8.5%)

Memory
-16.6MiB live, 431.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 x (*.f32 x x))
cost-diff0
(*.f32 x x)
cost-diff0
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
cost-diff0
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
cost-diff0
(*.f32 x #s(literal 2/3 binary32))
cost-diff0
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
cost-diff0
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
cost-diff160
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
cost-diff0
(*.f32 x x)
cost-diff0
(*.f32 x (*.f32 x x))
cost-diff0
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
cost-diff0
(*.f32 x #s(literal 2 binary32))
cost-diff320
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))
cost-diff0
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
cost-diff0
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
cost-diff192
(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
Rules
11 424×lower-fma.f64
11 412×lower-fma.f32
4 950×lower-*.f64
4 932×lower-*.f32
1 954×lower-/.f64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
025151
049135
1101135
2183135
3325135
41135135
51780135
63393126
77617126
08130126
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
#s(literal 2 binary32)
(fma.f32 x x x)
x
(fma.f32 x (neg.f32 x) #s(literal 1 binary32))
(neg.f32 x)
#s(literal 1 binary32)
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))
#s(literal 1/2 binary32)
(*.f32 x #s(literal 2 binary32))
x
#s(literal 2 binary32)
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
#s(literal 1/3 binary32)
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
#s(literal 1/2 binary32)
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x #s(literal 2/3 binary32))
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(*.f32 x (*.f32 x x))
Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(log1p.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))))
(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
#s(literal 2 binary32)
(fma.f32 x x x)
x
(fma.f32 x (neg.f32 x) #s(literal 1 binary32))
(neg.f32 x)
#s(literal 1 binary32)
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))
x
#s(literal 1/2 binary32)
(*.f32 x #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) x)
x
#s(literal 2 binary32)
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)
#s(literal 1/3 binary32)
(*.f32 x (*.f32 x x))
x
(*.f32 x x)
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(fma.f32 x (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) x)
#s(literal 1/2 binary32)
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x #s(literal 2/3 binary32))
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(*.f32 x (*.f32 x x))

localize205.0ms (3.3%)

Memory
9.4MiB live, 86.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
accuracy100.0%
(*.f32 x x)
accuracy99.9%
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
accuracy99.7%
(*.f32 x (*.f32 x x))
accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
accuracy100.0%
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
accuracy99.9%
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
accuracy98.9%
(*.f32 x #s(literal 2/3 binary32))
accuracy100.0%
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
accuracy100.0%
(*.f32 x x)
accuracy99.7%
(*.f32 x (*.f32 x x))
accuracy100.0%
(*.f32 x #s(literal 2 binary32))
accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))
accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
accuracy100.0%
(neg.f32 x)
accuracy100.0%
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
accuracy99.9%
(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
Samples
53.0ms256×0valid
Compiler

Compiled 173 to 32 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 19.0ms (47.2% of total)
const: 9.0ms (22.3% of total)
ival-add: 7.0ms (17.4% of total)
ival-div: 2.0ms (5% of total)
ival-log1p: 2.0ms (5% of total)
ival-neg: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))>
#<alt (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))>
#<alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal 2 binary32) (fma.f32 x x x))>
#<alt (*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))>
#<alt (*.f32 x #s(literal 2 binary32))>
#<alt (fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)>
#<alt (*.f32 x (*.f32 x x))>
#<alt (*.f32 x x)>
#<alt (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))>
#<alt (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))>
#<alt (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))>
#<alt (*.f32 x #s(literal 2/3 binary32))>
#<alt (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)>
#<alt (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))>
#<alt (neg.f32 x)>
Outputs
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))>
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* 2/3 (pow x 3))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2/3 (pow x 3))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

48 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* 1/2 (* x 2))
0.0ms
x
@-inf
(+ (* (+ (* (* x x) 1/5) 1/3) (* x (* x x))) x)
0.0ms
x
@0
(* 1/2 (* x (+ (* x (* x 2/3)) 2)))
0.0ms
x
@inf
(* 1/2 (* x (+ (* x (* x 2/3)) 2)))
0.0ms
x
@inf
(+ (* (+ (* (* x x) 1/5) 1/3) (* x (* x x))) x)

rewrite762.0ms (12.2%)

Memory
3.1MiB live, 481.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 798×lower-fma.f64
8 786×lower-fma.f32
4 038×lower-*.f64
4 020×lower-*.f32
3 980×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025118
049112
1189110
21327107
08677103
Stop Event
iter limit
node limit
iter limit
Counts
16 → 421
Calls
Call 1
Inputs
(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))
(*.f32 x #s(literal 2 binary32))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
(*.f32 x (*.f32 x x))
(*.f32 x x)
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x #s(literal 2/3 binary32))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(neg.f32 x)
Outputs
(neg.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x x) #s(literal -2 binary32)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x x) #s(literal -2 binary32))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x x #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)) (fma.f32 x x x)))
(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (+.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x x) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x x) #s(literal -2 binary32))))))
(/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x x) #s(literal -2 binary32)))))
(*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x x x) (+.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (fma.f32 x x x) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 x x x)))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 x x x) #s(literal -2 binary32))) #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x x) #s(literal -2 binary32))))))
(*.f32 (/.f32 (fma.f32 x x x) (+.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))
(*.f32 #s(literal -2 binary32) (/.f32 (neg.f32 (fma.f32 x x x)) (+.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (+.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)) (*.f32 x x)))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)) (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)) (*.f32 x x)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (/.f32 (fma.f32 x x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)) (*.f32 x x)))))
(*.f32 (/.f32 (fma.f32 x x x) (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 2 binary32) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (fma.f32 x x x) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)) (*.f32 x x)))))
(*.f32 (/.f32 #s(literal 2 binary32) (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (/.f32 (fma.f32 x x x) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (/.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)) (*.f32 x x)))))
(*.f32 (/.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (/.f32 (*.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) (+.f32 x #s(literal 1 binary32))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)) (*.f32 x x)))))
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 x #s(literal 1 binary32))) (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (/.f32 (fma.f32 x x x) #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 (neg.f32 (fma.f32 x x x)) #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x x) #s(literal -2 binary32))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x x) #s(literal -2 binary32))) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))))
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(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32)) (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) #s(literal -1/9 binary32)) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32))) (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) #s(literal -1/9 binary32))) (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))
(/.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)))) (-.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)) #s(literal 1/9 binary32))) (*.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) #s(literal -1/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))))) (neg.f32 (-.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (fma.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)))))))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)))) (*.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))) (+.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)))))
(*.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))))
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32))) (*.f32 (*.f32 x x) #s(literal 1/15 binary32))))))
(*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))
(*.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/125 binary32) #s(literal 1/27 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 1/15 binary32)))))))
(*.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)) #s(literal -1/9 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal -1/3 binary32)))))
(*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/25 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))
(neg.f32 x)
(+.f32 #s(literal 0 binary32) (neg.f32 x))
(-.f32 #s(literal 0 binary32) x)
(-.f32 (/.f32 #s(literal 0 binary32) x) (/.f32 (*.f32 x x) x))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (*.f32 x (*.f32 x x)) (fma.f32 x x #s(literal 0 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 x (neg.f32 x))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal 0 binary32)) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 (*.f32 x x) (neg.f32 x))
(/.f32 (*.f32 x (neg.f32 x)) x)
(/.f32 (*.f32 x (neg.f32 x)) (-.f32 #s(literal 0 binary32) (neg.f32 x)))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (fma.f32 x x #s(literal 0 binary32)))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 x x) (*.f32 #s(literal 0 binary32) (neg.f32 x)))))
(/.f32 (neg.f32 (neg.f32 (*.f32 x (*.f32 x x)))) (neg.f32 (fma.f32 x x #s(literal 0 binary32))))
(*.f32 x #s(literal -1 binary32))
(*.f32 (neg.f32 x) #s(literal 1 binary32))
(*.f32 (*.f32 x (neg.f32 x)) (/.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal -1 binary32) x)
(*.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 0 binary32))))

simplify365.0ms (5.8%)

Memory
-14.1MiB live, 696.4MiB allocated
Algorithm
egg-herbie
Rules
14 636×lower-fma.f64
14 636×lower-fma.f32
4 250×lower-*.f64
4 250×lower-*.f32
2 004×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01341194
14131138
210651128
328911124
466251124
081281043
Stop Event
iter limit
node limit
Counts
192 → 176
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* 2 x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
x
x
x
x
x
x
x
x
x
x
x
x
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* 2/3 (pow x 2)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 x (fma.f32 #s(literal 2 binary32) (fma.f32 x x x) #s(literal 2 binary32)))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x x #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 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 x (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 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 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x)))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 x (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) #s(literal 2 binary32)))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (*.f32 x x))) x))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
(* x (+ 2 (* 2 x)))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
(* x (+ 2 (* 2 x)))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
(* 2 (pow x 2))
(*.f32 #s(literal 2 binary32) (*.f32 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
(* 2 (pow x 2))
(*.f32 #s(literal 2 binary32) (*.f32 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
x
x
x
x
x
x
x
x
x
x
x
x
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* 1/3 (pow x 3))
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* 1/3 (pow x 3))
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* 1/3 (pow x 3))
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* 1/3 (pow x 3))
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* 2/3 (pow x 3))
(*.f32 x (*.f32 x (*.f32 x #s(literal 2/3 binary32))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* 2/3 (pow x 3))
(*.f32 x (*.f32 x (*.f32 x #s(literal 2/3 binary32))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* 2/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 2/3 binary32)))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* 2/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 2/3 binary32)))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 x (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 x (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)))) x)
(* 1/5 (pow x 5))
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))
(* 1/5 (pow x 5))
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (-.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (-.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))) (*.f32 x x))))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(* 1/5 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(* 1/5 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)

eval142.0ms (2.3%)

Memory
8.3MiB live, 122.6MiB allocated
Compiler

Compiled 15 407 to 1 603 computations (89.6% saved)

prune158.0ms (2.5%)

Memory
-1.0MiB live, 197.6MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New6672669
Fresh022
Picked235
Done011
Total6698677
Accuracy
100.0%
Counts
677 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
99.3%
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
98.9%
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
99.9%
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
99.2%
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
98.8%
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
99.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
97.4%
x
Compiler

Compiled 97 to 61 computations (37.1% saved)

simplify474.0ms (7.6%)

Memory
-25.0MiB live, 951.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
cost-diff0
(*.f32 x x)
cost-diff0
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
cost-diff0
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
cost-diff0
(*.f32 (fma.f32 x x x) #s(literal -2 binary32))
cost-diff0
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))))
cost-diff0
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
cost-diff288
(/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))
cost-diff0
(*.f32 x x)
cost-diff0
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
cost-diff0
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
cost-diff160
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
Rules
26 012×lower-fma.f64
25 998×lower-fma.f32
3 758×lower-*.f64
3 742×lower-*.f32
3 176×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027162
051158
1109158
2280158
3698144
41547144
52815144
65371144
08096142
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
x
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
#s(literal 1/2 binary32)
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x x)
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(*.f32 x #s(literal 2/5 binary32))
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (fma.f32 x x x) #s(literal -2 binary32))
(fma.f32 x x x)
x
#s(literal -2 binary32)
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(*.f32 x x)
x
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(*.f32 x #s(literal 1/7 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(*.f32 x (*.f32 x x))
Outputs
x
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(fma.f32 (*.f32 x (*.f32 x x)) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) x)
#s(literal 1/2 binary32)
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x x)
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(*.f32 x #s(literal 2/5 binary32))
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x (/.f32 #s(literal -2 binary32) (+.f32 x #s(literal -1 binary32))))))
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(log1p.f32 (*.f32 x (/.f32 #s(literal -2 binary32) (+.f32 x #s(literal -1 binary32)))))
(/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(*.f32 x (/.f32 #s(literal -2 binary32) (+.f32 x #s(literal -1 binary32))))
(*.f32 (fma.f32 x x x) #s(literal -2 binary32))
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32)))
(fma.f32 x x x)
x
#s(literal -2 binary32)
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(*.f32 x x)
x
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(*.f32 x #s(literal 1/7 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(*.f32 x (*.f32 x x))

localize97.0ms (1.5%)

Memory
2.3MiB live, 198.1MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
accuracy99.9%
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
accuracy99.7%
(*.f32 x (*.f32 x x))
accuracy98.4%
(*.f32 x #s(literal 1/7 binary32))
accuracy100.0%
(*.f32 (fma.f32 x x x) #s(literal -2 binary32))
accuracy100.0%
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
accuracy100.0%
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))))
accuracy99.9%
(/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))
accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
accuracy99.9%
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
accuracy99.9%
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
accuracy99.6%
(*.f32 x #s(literal 2/5 binary32))
Samples
62.0ms256×0valid
Compiler

Compiled 190 to 34 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 19.0ms (40.9% of total)
const: 14.0ms (30.1% of total)
ival-add: 9.0ms (19.4% of total)
ival-div: 2.0ms (4.3% of total)
ival-log1p: 2.0ms (4.3% of total)
exact: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
18.6MiB live, 18.6MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))>
#<alt (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))>
#<alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))>
#<alt (*.f32 x x)>
#<alt (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))>
#<alt (*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32))>
#<alt (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))))>
#<alt (*.f32 (fma.f32 x x x) #s(literal -2 binary32))>
#<alt (fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)>
#<alt (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))>
#<alt (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))>
#<alt (*.f32 x #s(literal 2/5 binary32))>
#<alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))>
#<alt (*.f32 x #s(literal 1/7 binary32))>
#<alt (*.f32 x (*.f32 x x))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* 2/5 (pow x 5))>
#<alt (* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 2/5 (pow x 5))>
#<alt (* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))>
#<alt 2>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))>
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))>
#<alt (* -2 x)>
#<alt (* x (- (* -2 x) 2))>
#<alt (* x (- (* -2 x) 2))>
#<alt (* x (- (* -2 x) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))>
#<alt (* -2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt 1/5>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (* 1/7 (pow x 2))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 2))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt 2/3>
#<alt (+ 2/3 (* 2/5 (pow x 2)))>
#<alt (+ 2/3 (* 2/5 (pow x 2)))>
#<alt (+ 2/3 (* 2/5 (pow x 2)))>
#<alt (* 2/5 (pow x 2))>
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 2/5 (pow x 2))>
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
Calls

45 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+ (* x (* x 2/5)) 2/3)
0.0ms
x
@inf
(* 1/2 (* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2)))
0.0ms
x
@0
(* 1/2 (* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2)))
0.0ms
x
@-inf
(+ (* (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) (* x (* x x))) x)
0.0ms
x
@inf
(+ (* (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) (* x (* x x))) x)

rewrite517.0ms (8.3%)

Memory
9.7MiB live, 518.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 794×lower-fma.f64
5 780×lower-fma.f32
4 558×lower-*.f64
4 542×lower-*.f32
3 948×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027137
051133
1215133
21652133
08197133
Stop Event
iter limit
node limit
iter limit
Counts
15 → 368
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x x)
(/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (fma.f32 x x x) #s(literal -2 binary32))
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(*.f32 x #s(literal 2/5 binary32))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(*.f32 x #s(literal 1/7 binary32))
(*.f32 x (*.f32 x x))
Outputs
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32))))
(+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))))
(+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))) (*.f32 (*.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)))
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(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))) (neg.f32 (+.f32 #s(literal 4/9 binary32) (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (*.f32 (*.f32 x x) #s(literal 4/15 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32))) (neg.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))
(/.f32 (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32))) (-.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x #s(literal 2/5 binary32)))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)) #s(literal 4/9 binary32))) (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 x x) #s(literal 4/15 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)))) (neg.f32 (-.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x #s(literal 2/5 binary32))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (fma.f32 (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))))))
(*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (*.f32 (*.f32 x x) #s(literal 4/15 binary32))))))
(*.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 4/25 binary32) #s(literal -4/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))
(*.f32 x #s(literal 1/7 binary32))
(*.f32 #s(literal 1/7 binary32) x)
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)) #s(literal 3/2 binary32)))
(pow.f32 x #s(literal 3 binary32))
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32))
(*.f32 x (*.f32 x x))
(*.f32 (*.f32 x x) x)
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))

simplify411.0ms (6.6%)

Memory
-2.6MiB live, 631.4MiB allocated
Algorithm
egg-herbie
Rules
16 228×lower-fma.f64
16 228×lower-fma.f32
4 686×lower-*.f64
4 686×lower-*.f32
3 070×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01791456
15591430
214781415
341421408
082851321
Stop Event
iter limit
node limit
Counts
180 → 177
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 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* -2 x) 2))
(* x (- (* -2 x) 2))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
1/5
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* 1/5 (pow x 5))
(*.f32 (*.f32 x x) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))
(* 1/5 (pow x 5))
(*.f32 (*.f32 x x) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x x))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* 2/5 (pow x 5))
(*.f32 x (*.f32 x (*.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) (/.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) (/.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* 2/5 (pow x 5))
(*.f32 x (*.f32 x (*.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x) (+.f32 #s(literal 2/5 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x))) (*.f32 x x))))
2
#s(literal 2 binary32)
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* 2/5 (pow x 4))
(*.f32 x (*.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x x))))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* 2/5 (pow x 4))
(*.f32 x (*.f32 #s(literal 2/5 binary32) (*.f32 x (*.f32 x x))))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) (*.f32 (*.f32 x x) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(*.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 x (fma.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 x (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x #s(literal 2 binary32) #s(literal 2 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 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x)))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (/.f32 #s(literal 2 binary32) x) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 2/5 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) x)))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (/.f32 #s(literal 2 binary32) x) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2/3 binary32) (*.f32 x (*.f32 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (*.f32 x x))) x))
(* -2 x)
(*.f32 x #s(literal -2 binary32))
(* x (- (* -2 x) 2))
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32)))
(* x (- (* -2 x) 2))
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32)))
(* x (- (* -2 x) 2))
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32)))
(* -2 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -2 binary32))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32)))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32)))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32)))
(* -2 (pow x 2))
(*.f32 (*.f32 x x) #s(literal -2 binary32))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32)))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32)))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))
(*.f32 x (fma.f32 x #s(literal -2 binary32) #s(literal -2 binary32)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(*.f32 x (*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(* 1/7 (pow x 4))
(*.f32 x (*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (*.f32 x (*.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
1/5
#s(literal 1/5 binary32)
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* 1/7 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* 1/7 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
2/3
#s(literal 2/3 binary32)
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(* 2/5 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 2/5 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(* 2/5 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 2/5 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))

eval59.0ms (0.9%)

Memory
12.0MiB live, 129.6MiB allocated
Compiler

Compiled 17 779 to 1 748 computations (90.2% saved)

prune197.0ms (3.2%)

Memory
-12.4MiB live, 144.5MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New5810581
Fresh000
Picked044
Done044
Total5818589
Accuracy
100.0%
Counts
589 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
99.3%
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
98.9%
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
99.9%
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
99.2%
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
98.8%
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
99.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
97.4%
x
Compiler

Compiled 207 to 109 computations (47.3% saved)

regimes15.0ms (0.2%)

Memory
31.9MiB live, 31.8MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
x
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
Outputs
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
Calls

4 calls:

4.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
4.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
4.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.9%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.9%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes25.0ms (0.4%)

Memory
-7.2MiB live, 32.0MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
x
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(*.f32 #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))))
Calls

4 calls:

15.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms
x
3.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.8%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.8%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes13.0ms (0.2%)

Memory
-5.2MiB live, 33.8MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
x
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
Outputs
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
Calls

4 calls:

4.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.5%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.5%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes12.0ms (0.2%)

Memory
-7.4MiB live, 31.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
x
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
Outputs
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
Calls

4 calls:

4.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.3%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.3%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes9.0ms (0.1%)

Memory
25.8MiB live, 25.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
(*.f32 #s(literal 1/2 binary32) (*.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
Outputs
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
Calls

4 calls:

2.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
98.9%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
98.9%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
98.9%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes12.0ms (0.2%)

Memory
-29.9MiB live, 20.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(*.f32 #s(literal 1/2 binary32) (*.f32 x #s(literal 2 binary32)))
Outputs
x
Calls

4 calls:

6.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
1.0ms
x
Results
AccuracySegmentsBranch
97.4%1x
97.4%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
97.4%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
97.4%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify7.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative_binary32
sub-neg_binary32
+-commutative_binary32
neg-sub0_binary32
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02964
14064
24364
34564
44664
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
x
Outputs
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x))))
(fma.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x)
(fma.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x x)) x)
x

soundness688.0ms (11%)

Memory
-8.4MiB live, 416.8MiB allocated
Rules
12 938×lower-fma.f64
12 938×lower-fma.f32
8 798×lower-fma.f64
8 786×lower-fma.f32
4 286×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01528
15428
240428
3559528
0863628
0106404
1312390
2798382
32146380
44029380
56487380
08272358
025118
049112
1189110
21327107
08677103
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 129 to 70 computations (45.7% saved)

preprocess93.0ms (1.5%)

Memory
9.5MiB live, 87.3MiB allocated
Compiler

Compiled 152 to 76 computations (50% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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