Rust f64::atanh

Time bar (total: 4.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 4 to 4 computations (0% saved)

sample560.0ms (12.6%)

Memory
-10.5MiB live, 513.2MiB allocated; 118ms collecting garbage
Samples
318.0ms8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-atanh: 87.0ms (89.1% of total)
ival-true: 5.0ms (5.1% of total)
ival-assert: 3.0ms (3.1% of total)
adjust: 2.0ms (2% of total)
Bogosity

explain129.0ms (2.9%)

Memory
20.4MiB live, 165.5MiB allocated; 19ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
00-0-(*.f64 #s(literal 2 binary64) x)
00-0-#s(literal 2 binary64)
00-0-(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
00-0-#s(literal 1/2 binary64)
00-0-x
00-0-(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) 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
54.0ms512×0valid
Compiler

Compiled 92 to 31 computations (66.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 26.0ms (69.6% of total)
ival-sub: 3.0ms (8% of total)
ival-div: 3.0ms (8% of total)
ival-log1p: 3.0ms (8% of total)
exact: 1.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess33.0ms (0.7%)

Memory
-10.5MiB live, 31.6MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
0910
01510
12410
23210
34710
47010
510410
613210
013210
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Outputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64))
Compiler

Compiled 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 10 to 9 computations (10% saved)

simplify5.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01535
12435
23235
34735
47035
510435
613235
013235
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize29.0ms (0.7%)

Memory
2.7MiB live, 47.4MiB allocated; 4ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy0.0
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy0.00390625
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
accuracy0.01171875
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
Samples
23.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-log1p: 8.0ms (49.6% of total)
ival-mult: 3.0ms (18.6% of total)
ival-sub: 2.0ms (12.4% of total)
ival-div: 2.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Counts
4 → 26
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
Calls

3 calls:

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

simplify142.0ms (3.2%)

Memory
-8.0MiB live, 178.0MiB allocated; 28ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106302
1386291
21315282
35633282
08077262
Stop Event
iter limit
node limit
Counts
26 → 25
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) x)
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64)))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 5 binary64))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 2 binary64))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) x) x) #s(literal 1 binary64)) (neg.f64 x)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -2/5 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 2 binary64))

rewrite236.0ms (5.3%)

Memory
-41.4MiB live, 322.9MiB allocated; 132ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01528
15328
232928
3455528
0847228
Stop Event
iter limit
node limit
iter limit
Counts
4 → 324
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
Outputs
(*.f64 #s(literal 1/4 binary64) (log.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(*.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (sinh.f64 (acosh.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) (log.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) (log1p.f64 x))))))
(-.f64 (log.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(-.f64 (log.f64 (sin.f64 (acos.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)))
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eval172.0ms (3.9%)

Memory
25.4MiB live, 71.6MiB allocated; 3ms collecting garbage
Compiler

Compiled 6 994 to 1 526 computations (78.2% saved)

prune7.0ms (0.2%)

Memory
-23.9MiB live, 22.5MiB allocated; 3ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3444348
Fresh000
Picked101
Done000
Total3454349
Accuracy
100.0%
Counts
349 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
99.9%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
99.6%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
100.0%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
Compiler

Compiled 87 to 65 computations (25.3% saved)

simplify212.0ms (4.8%)

Memory
37.4MiB live, 278.1MiB allocated; 21ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
cost-diff0
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
cost-diff0
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032236
050236
194236
2279236
31234236
43198236
54513236
65708236
76581236
08024222
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/5 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 2/3 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal 2/5 binary64)
(*.f64 x x)
x
#s(literal 2/3 binary64)
#s(literal 2 binary64)
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
#s(literal 1/5 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 2/3 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal 2/5 binary64)
(*.f64 x x)
x
#s(literal 2/3 binary64)
#s(literal 2 binary64)

localize97.0ms (2.2%)

Memory
-26.0MiB live, 108.9MiB allocated; 16ms collecting garbage
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
accuracy0.0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0.00390625
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy0.0078125
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
accuracy0.00390625
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy0.03837874508018954
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy0.0
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
accuracy0.2693236304612836
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))
accuracy0.0
(pow.f64 x #s(literal 3 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
accuracy0.0078125
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
Samples
77.0ms256×0valid
Compiler

Compiled 182 to 30 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
const: 30.0ms (48% of total)
ival-mult: 17.0ms (27.2% of total)
ival-add: 5.0ms (8% of total)
ival-pow: 5.0ms (8% of total)
ival-div: 2.0ms (3.2% of total)
ival-log1p: 2.0ms (3.2% of total)
ival-sub: 1.0ms (1.6% of total)
exact: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
19.1MiB live, 19.1MiB allocated; 0ms collecting garbage
Counts
17 → 46
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(pow x 3)
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(pow x 2)
2/3
(+ 2/3 (* 2/5 (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))))))
(* 1/5 (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)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (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))))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (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)))))
(* 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)))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) (+ (* 1/5 (* x x)) 1/3)) x) (pow x 3) (+ (* 1/5 (* x x)) 1/3) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* 2/3 (* x x)) 2) x) (+ (* 2/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* x x) (+ (* 2/5 (* x x)) 2/3))
3.0ms
x
@-inf
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) (+ (* 1/5 (* x x)) 1/3)) x) (pow x 3) (+ (* 1/5 (* x x)) 1/3) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* 2/3 (* x x)) 2) x) (+ (* 2/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* x x) (+ (* 2/5 (* x x)) 2/3))
2.0ms
x
@0
((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) (+ (* 1/5 (* x x)) 1/3)) x) (pow x 3) (+ (* 1/5 (* x x)) 1/3) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* 2/3 (* x x)) 2) x) (+ (* 2/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* x x) (+ (* 2/5 (* x x)) 2/3))

simplify154.0ms (3.4%)

Memory
-5.9MiB live, 145.4MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124450
1456443
21455438
36129438
08433414
Stop Event
iter limit
node limit
Counts
46 → 45
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))))))))
(pow x 3)
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(pow x 2)
2/3
(+ 2/3 (* 2/5 (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))))))
(* 1/5 (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)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (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))))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (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)))))
(* 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)))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 2/3 (pow x 2)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64)))))
(* 1/5 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/5 (pow x 2))
(*.f64 #s(literal 1/5 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 5 binary64))))
(* 2/3 (pow x 3))
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* 2/3 (pow x 2))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 2/5 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/5 binary64))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2/5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/5 binary64)) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 2/5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/5 binary64))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2/5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/5 binary64)) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 2/5 (pow x 2))
(*.f64 #s(literal 2/5 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5 binary64))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/5 binary64))))

rewrite368.0ms (8.3%)

Memory
3.0MiB live, 380.8MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032214
050214
1190213
21328213
08634200
Stop Event
iter limit
node limit
iter limit
Counts
17 → 394
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))))) (+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64))))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64))) (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (-.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))) (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 x x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))))))
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(/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2/5 binary64) x)) x) (*.f64 (neg.f64 (*.f64 #s(literal 2/5 binary64) x)) x))) (+.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2/5 binary64) x)) x)))
(/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 #s(literal -2/5 binary64) (*.f64 x x)) (*.f64 #s(literal -2/5 binary64) (*.f64 x x)))) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -2/5 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 2/5 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 2/5 binary64)))) (+.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 2/5 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))))) (*.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))))) (-.f64 (/.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) (fma.f64 (/.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))))
(/.f64 (-.f64 #s(literal 8/27 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2/5 binary64) x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 4/9 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2/5 binary64) x)) x) (*.f64 (neg.f64 (*.f64 #s(literal 2/5 binary64) x)) x) (*.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2/5 binary64) x)) x)))))
(/.f64 (-.f64 #s(literal 8/27 binary64) (pow.f64 (*.f64 #s(literal -2/5 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 4/9 binary64) (fma.f64 (*.f64 #s(literal -2/5 binary64) (*.f64 x x)) (*.f64 #s(literal -2/5 binary64) (*.f64 x x)) (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -2/5 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 8/27 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 2/5 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4/9 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 2/5 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 2/5 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 2/5 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) #s(literal 4/9 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))) (*.f64 (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))) #s(literal 8/27 binary64))) (*.f64 (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))))
(/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))) (neg.f64 (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))
(/.f64 (fma.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))))
(/.f64 (fma.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2/5 binary64) (neg.f64 x))) x #s(literal 2/3 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2/5 binary64) x)) x #s(literal 2/3 binary64))
(fma.f64 (*.f64 #s(literal 2/5 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 2/3 binary64))
(fma.f64 (*.f64 #s(literal 2/5 binary64) x) x #s(literal 2/3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/5 binary64)) #s(literal 2/3 binary64))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 2/5 binary64))) #s(literal 2/3 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 2/5 binary64) x)) #s(literal 2/3 binary64))
(fma.f64 x (*.f64 #s(literal 2/5 binary64) x) #s(literal 2/3 binary64))
(-.f64 (/.f64 #s(literal 4/9 binary64) (-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
(-.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2/5 binary64) x)) x))
(-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -2/5 binary64) (*.f64 x x)))
(-.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 2/5 binary64)))
(+.f64 (/.f64 #s(literal 8/27 binary64) (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 #s(literal 8/27 binary64) (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))))
(+.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))))
(+.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))
(+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (*.f64 x x)))

eval76.0ms (1.7%)

Memory
10.2MiB live, 158.0MiB allocated; 12ms collecting garbage
Compiler

Compiled 20 039 to 2 379 computations (88.1% saved)

prune9.0ms (0.2%)

Memory
-19.0MiB live, 27.3MiB allocated; 2ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4952497
Fresh000
Picked314
Done000
Total4983501
Accuracy
100.0%
Counts
501 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x)))
99.9%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
100.0%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify335.0ms (7.5%)

Memory
-14.0MiB live, 129.9MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x x)
cost-diff0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x)))
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x))
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
cost-diff2
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02096
02896
15596
213594
354794
4199994
5394394
6454694
7486294
8508994
9531394
10557194
11580594
12582194
13587794
14594094
15603994
16614194
17615494
18615494
19615494
20645094
21669594
22669594
23669594
24669594
25669594
26794294
0831086
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
x
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x)))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x))
(+.f64 x x)
x
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
x
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x)))
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))
(+.f64 x x)
(*.f64 x #s(literal 2 binary64))
x

localize62.0ms (1.4%)

Memory
35.8MiB live, 111.3MiB allocated; 27ms collecting garbage
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x x)
accuracy0.0
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x)))
accuracy0.2693236304612836
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x))
accuracy0.0
(*.f64 x x)
accuracy0.0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
accuracy0.0078125
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
accuracy0.1875
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x))
Samples
52.0ms256×0valid
Compiler

Compiled 80 to 20 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-log1p: 16.0ms (37.3% of total)
ival-mult: 13.0ms (30.3% of total)
const: 6.0ms (14% of total)
ival-add: 3.0ms (7% of total)
ival-div: 2.0ms (4.7% of total)
ival-sub: 1.0ms (2.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Counts
8 → 31
Calls
Call 1
Inputs
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x))
(+.f64 x x)
(*.f64 x x)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(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)))))
(* 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))))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
Calls

3 calls:

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

simplify243.0ms (5.4%)

Memory
10.7MiB live, 297.7MiB allocated; 104ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104327
1372320
21177316
34846316
08505297
Stop Event
iter limit
node limit
Counts
31 → 30
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))))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(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)))))
(* 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))))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(pow x 2)
(*.f64 x x)
(* 1/5 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64)))))
(* 1/5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/5 binary64))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64)))
(* 1/5 (pow x 2))
(*.f64 #s(literal 1/5 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5 binary64))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x))

rewrite50.0ms (1.1%)

Memory
-18.7MiB live, 73.0MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02091
02891
111488
083281
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
8 → 100
Calls
Call 1
Inputs
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x))
(+.f64 x x)
(*.f64 x x)
Outputs
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x x)
(fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) x)))
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)) x))
(-.f64 x (*.f64 (neg.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(*.f64 x (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/125 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 x x)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (-.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/125 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64))))
(fma.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/125 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 #s(literal 1/125 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64)))))
(/.f64 (fma.f64 #s(literal 1/125 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64))))
(fma.f64 (*.f64 #s(literal 1/5 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 #s(literal 1/5 binary64) x) #s(literal 1/3 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/5 binary64) (*.f64 x x)))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/5 binary64)))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/5 binary64) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64)))) (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/15 binary64)))))
(+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x x)))
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal -2 binary64) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 x #s(literal 1 binary64) x)
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (neg.f64 x) (neg.f64 x))
(+.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval29.0ms (0.7%)

Memory
-15.9MiB live, 39.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 4 273 to 600 computations (86% saved)

prune3.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1431144
Fresh000
Picked022
Done011
Total1434147
Accuracy
100.0%
Counts
147 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x)))
99.9%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
100.0%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
99.9%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
Compiler

Compiled 92 to 66 computations (28.3% saved)

simplify81.0ms (1.8%)

Memory
9.6MiB live, 56.2MiB allocated; 4ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x))
cost-diff0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
cost-diff2
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02072
02472
15072
212270
334870
469870
595770
6115270
7126670
8141670
9169870
10177670
11185970
12191870
13206070
14208270
15208270
16214270
17222670
0222662
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
(*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x))
#s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
x
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x))
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x)
(*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x)
#s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
x

localize47.0ms (1.1%)

Memory
6.2MiB live, 95.2MiB allocated; 12ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
accuracy0.1875
(*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x))
accuracy0.2824586295005094
#s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))
Samples
36.0ms256×0valid
Compiler

Compiled 52 to 19 computations (63.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 12.0ms (41.6% of total)
const: 9.0ms (31.2% of total)
ival-div: 2.0ms (6.9% of total)
ival-add: 2.0ms (6.9% of total)
ival-log1p: 2.0ms (6.9% of total)
ival-sub: 1.0ms (3.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Counts
5 → 22
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x))
#s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))
(*.f64 x x)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(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)))))
(* 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))))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 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 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
Calls

3 calls:

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

simplify337.0ms (7.6%)

Memory
-30.6MiB live, 263.4MiB allocated; 85ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068221
1224215
2686212
32740212
47642212
09185198
Stop Event
iter limit
node limit
Counts
22 → 21
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))))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(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)))))
(* 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))))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 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 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) x) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
(pow x 2)
(*.f64 x x)
(* 1/5 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (-.f64 (-.f64 #s(literal 1/5 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) (*.f64 x x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x) (*.f64 x x)))
(* 1/5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/5 binary64))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) x) x)
(* 1/5 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5 binary64))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)))

rewrite185.0ms (4.2%)

Memory
5.9MiB live, 194.3MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02070
02470
110367
270067
0877460
Stop Event
iter limit
node limit
iter limit
Counts
5 → 132
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x))
#s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))
(*.f64 x x)
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 6 binary64)))) (fma.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) (-.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 4 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x))))
(*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) (fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x)))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x)))) (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x))))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x))))) (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (fma.f64 x x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (neg.f64 x)))))
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(fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x))))
(fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x (/.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))))
(fma.f64 x (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))))))
(-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x))))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))))
(+.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x)))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x))
(*.f64 (*.f64 (neg.f64 x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (neg.f64 x))
(*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x)
(*.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x))
(*.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))
(*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x))
(*.f64 x (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))))
#s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval18.0ms (0.4%)

Memory
36.1MiB live, 36.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 8 770 to 591 computations (93.3% saved)

prune26.0ms (0.6%)

Memory
-29.5MiB live, 15.1MiB allocated; 10ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1491150
Fresh000
Picked101
Done123
Total1513154
Accuracy
100.0%
Counts
154 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x)))
100.0%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
99.9%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))
Compiler

Compiled 268 to 109 computations (59.3% saved)

regimes11.0ms (0.3%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x)))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
Calls

4 calls:

3.0ms
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
3.0ms
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
3.0ms
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
100.0%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
100.0%1(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
100.0%1x
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes27.0ms (0.6%)

Memory
-28.6MiB live, 17.6MiB allocated; 6ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x)))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))
Calls

4 calls:

21.0ms
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms
x
Results
AccuracySegmentsBranch
99.9%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
99.9%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.9%1(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.9%1x
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes5.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x)))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
Outputs
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x)))
Calls

4 calls:

1.0ms
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
1.0ms
x
Results
AccuracySegmentsBranch
99.6%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
99.6%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.6%1(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.6%1x
Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify13.0ms (0.3%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02771
14471
28371
317671
427571
530671
632671
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x)))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 x x)))

derivations690.0ms (15.5%)

Memory
-10.6MiB live, 626.2MiB allocated; 154ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02070
02470
110367
270067
0877460
032214
050214
1190213
21328213
08634200
0104327
1372320
21177316
34846316
08505297
0106302
1386291
21315282
35633282
08077262
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 71 to 31 computations (56.3% saved)

preprocess43.0ms (1%)

Memory
-22.9MiB live, 69.8MiB allocated; 4ms collecting garbage
Compiler

Compiled 162 to 80 computations (50.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...