Rust f64::atanh

Time bar (total: 3.6s)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory
1.7MiB live, 1.7MiB 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)

sample520.0ms (14.5%)

Memory
-16.2MiB live, 507.9MiB allocated; 132ms collecting garbage
Samples
272.0ms8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-atanh: 94.0ms (90.7% of total)
ival-true: 5.0ms (4.8% of total)
ival-assert: 3.0ms (2.9% of total)
adjust: 2.0ms (1.9% of total)
Bogosity

explain92.0ms (2.6%)

Memory
-17.0MiB live, 176.3MiB allocated; 14ms 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
30.0ms512×0valid
Compiler

Compiled 92 to 31 computations (66.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (34.7% of total)
ival-sub: 3.0ms (17.3% of total)
ival-div: 3.0ms (17.3% of total)
ival-log1p: 3.0ms (17.3% of total)
exact: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess173.0ms (4.8%)

Memory
49.1MiB live, 141.5MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
0910
01510
12410
24010
310810
444410
5229010
6565510
0806510
Stop Event
iter limit
node limit
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
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune11.0ms (0.3%)

Memory
-51.3MiB live, 0.8MiB allocated; 6ms 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)

simplify163.0ms (4.5%)

Memory
33.8MiB live, 169.2MiB allocated; 13ms collecting garbage
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
24035
310835
444435
5229035
6565535
0806535
Stop Event
iter limit
node limit
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)

localize37.0ms (1%)

Memory
10.6MiB live, 66.0MiB allocated; 5ms 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
(/.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)))
Samples
30.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 4.0ms (34.9% of total)
ival-mult: 3.0ms (26.2% of total)
ival-div: 2.0ms (17.5% of total)
ival-log1p: 2.0ms (17.5% 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)

series7.0ms (0.2%)

Memory
-30.8MiB live, 14.8MiB allocated; 6ms 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
5.0ms
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))

simplify152.0ms (4.3%)

Memory
10.6MiB live, 199.3MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106302
1386291
21450282
37495282
08200262
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 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x))
(- (* -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 #s(literal -1/3 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) 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))

rewrite59.0ms (1.7%)

Memory
18.5MiB live, 64.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01528
15328
036528
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
4 → 29
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 (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(log.f64 (sqrt.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal 1 binary64))))
(log1p.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log1p.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)

eval6.0ms (0.2%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 950 to 250 computations (73.7% saved)

prune9.0ms (0.2%)

Memory
-35.6MiB live, 11.0MiB allocated; 3ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New47653
Fresh000
Picked101
Done000
Total48654
Accuracy
100.0%
Counts
54 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
99.7%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)))
99.7%
(*.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)))
99.5%
(*.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)))
99.0%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
99.7%
#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 256 to 186 computations (27.3% saved)

simplify189.0ms (5.3%)

Memory
29.5MiB live, 213.7MiB allocated; 28ms collecting garbage
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
036339
062323
1111323
2309323
31331323
45641323
08328323
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))
(+.f64 x x)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 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)
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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))
(*.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)
(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))
(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))
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
#s(literal 2/7 binary64)
(*.f64 x x)
x
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x 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 x x) (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 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 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
#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)))
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #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))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #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)
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)))
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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))
(*.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)
(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))
(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))
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
#s(literal 2/7 binary64)
(*.f64 x x)
x
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
#s(literal 2 binary64)

localize173.0ms (4.8%)

Memory
6.5MiB live, 241.1MiB allocated; 54ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(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))
accuracy0.0078125
(*.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)
accuracy0.015625
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
accuracy0.15813498800063122
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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))
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)))
accuracy0.00390625
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
accuracy0.0078125
(*.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)
accuracy0.1995992710984005
#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
(*.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)))
accuracy0.0078125
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy0.3243557095053307
#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)))
accuracy0.6347001791168247
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))
accuracy0.0
(+.f64 x x)
accuracy0.0
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
accuracy0.00390625
(/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))
accuracy0.00390625
(log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))
Samples
128.0ms256×0valid
Compiler

Compiled 269 to 34 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 47.0ms (65% of total)
const: 9.0ms (12.4% of total)
ival-add: 8.0ms (11.1% of total)
ival-div: 3.0ms (4.1% of total)
ival-log1p: 3.0ms (4.1% of total)
ival-sub: 1.0ms (1.4% 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)

series27.0ms (0.8%)

Memory
2.2MiB live, 37.1MiB allocated; 26ms collecting garbage
Counts
23 → 64
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) 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 (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 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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))
(*.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)
(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))
(*.f64 x x)
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
(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))
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)))))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))
(pow x 2)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
2/5
(+ 2/5 (* 2/7 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(* 2/3 (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)))))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 2/7 (pow x 6))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/7 (pow x 2))
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* 2/7 (pow x 4))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
20.0ms
x
@inf
((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) (* 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) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (* x x) (+ (* 2/5 (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3))
3.0ms
x
@-inf
((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) (* 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) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (* x x) (+ (* 2/5 (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3))
3.0ms
x
@0
((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) (* 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) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (* x x) (+ (* 2/5 (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3))

simplify348.0ms (9.7%)

Memory
-12.3MiB live, 345.6MiB allocated; 180ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165696
1616684
22248674
08448640
Stop Event
iter limit
node limit
Counts
64 → 63
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)))))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))
(pow x 2)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
2/5
(+ 2/5 (* 2/7 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(* 2/3 (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)))))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 2/7 (pow x 6))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/7 (pow x 2))
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* 2/7 (pow x 4))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow 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)
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))
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))
(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))
(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))
2/5
#s(literal 2/5 binary64)
(+ 2/5 (* 2/7 (pow x 2)))
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(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))
(* 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 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x))
(- (* -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))
(* 2/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -2/5 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)))
(* 2/7 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 2/7 binary64))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/7 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal -2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal -2/5 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 2/7 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2/7 binary64))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/7 binary64)))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal -2/5 binary64) (*.f64 x x))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal -2/5 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 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))
(* 2/7 (pow x 2))
(*.f64 #s(literal 2/7 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
(* 2/7 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/7 binary64))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/7 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal -2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 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 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 4 binary64))) #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))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(*.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)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) #s(literal 2/5 binary64)) x) x) #s(literal 2/7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/7 binary64))))

rewrite39.0ms (1.1%)

Memory
-23.1MiB live, 71.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036309
062293
0233293
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
23 → 83
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) 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 (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 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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))
(*.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)
(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))
(*.f64 x x)
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
(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))
Outputs
(*.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.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 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #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 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(*.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))
(*.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)
(*.f64 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 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64))
(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 (*.f64 x x) (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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))
(*.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)
(*.f64 x (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)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.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)) x) x) (*.f64 (*.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)) x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.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)) x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.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)) x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.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)) x) x) (*.f64 (*.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)) x) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.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)) x) x) #s(literal 2 binary64)))))
(fma.f64 (*.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)) x) x #s(literal 2 binary64))
(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))
(fma.f64 (*.f64 x x) (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)) #s(literal 2 binary64))
(+.f64 (*.f64 (*.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)) x) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.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)) x) x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) (*.f64 #s(literal 2/5 binary64) (*.f64 x x))) #s(literal 4/9 binary64)) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 8/27 binary64)) (fma.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))
(fma.f64 (*.f64 #s(literal 2/5 binary64) x) x #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))
(+.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)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/7 binary64) (*.f64 x x)) (*.f64 #s(literal 2/7 binary64) (*.f64 x x))) #s(literal 4/25 binary64)) (-.f64 (*.f64 #s(literal 2/7 binary64) (*.f64 x x)) #s(literal 2/5 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2/7 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 8/125 binary64)) (fma.f64 (*.f64 #s(literal 2/7 binary64) (*.f64 x x)) (*.f64 #s(literal 2/7 binary64) (*.f64 x x)) (-.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 #s(literal 2/7 binary64) (*.f64 x x)) #s(literal 2/5 binary64)))))
(fma.f64 (*.f64 #s(literal 2/7 binary64) x) x #s(literal 2/5 binary64))
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64))
(+.f64 (*.f64 #s(literal 2/7 binary64) (*.f64 x x)) #s(literal 2/5 binary64))
(+.f64 #s(literal 2/5 binary64) (*.f64 #s(literal 2/7 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x)) #s(literal 4/9 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) #s(literal 2/3 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) #s(literal 2/3 binary64)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x #s(literal 2/3 binary64))
(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))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 2/3 binary64))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x) #s(literal 2/3 binary64))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x))

eval20.0ms (0.6%)

Memory
4.0MiB live, 49.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 4 903 to 757 computations (84.6% saved)

prune7.0ms (0.2%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1592161
Fresh101
Picked055
Done000
Total1607167
Accuracy
100.0%
Counts
167 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
99.7%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)))
99.7%
(*.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)))
99.5%
(*.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)))
99.7%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)))
99.0%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
99.7%
#s(approx (* 1/2 (log (+ 1 (/ (+ x 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 155 to 112 computations (27.7% saved)

simplify119.0ms (3.3%)

Memory
3.8MiB live, 190.1MiB allocated; 17ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)))
cost-diff1
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64))
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 (/ (+ x 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
031161
044161
183161
2253161
31147161
43784161
08304151
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (+ x 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 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x))
(*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(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 (/ (+ x 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 (/ (+ x 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 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)))
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) 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 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(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)

localize129.0ms (3.6%)

Memory
-5.8MiB live, 183.9MiB allocated; 15ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)
accuracy0.140625
(*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
accuracy0.1995992710984005
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x))
accuracy0.359375
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
accuracy0.0
(pow.f64 x #s(literal 3 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.1995992710984005
#s(approx (* 1/2 (log (+ 1 (/ (+ x 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))
Samples
95.0ms256×0valid
Compiler

Compiled 129 to 32 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
const: 48.0ms (57.8% of total)
ival-mult: 15.0ms (18% of total)
ival-add: 6.0ms (7.2% of total)
ival-log1p: 4.0ms (4.8% of total)
ival-pow: 4.0ms (4.8% of total)
ival-div: 3.0ms (3.6% of total)
ival-sub: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
17.3MiB live, 17.3MiB allocated; 0ms collecting garbage
Counts
11 → 44
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (+ x 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 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x))
(*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)
(*.f64 x x)
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) 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))))))))
(pow x 3)
1/3
(+ 1/3 (* 1/5 (pow x 2)))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (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)
(* 2/3 x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 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)))))
(* 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)))))
(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))))))
(* 2/5 (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 3))
(* (pow x 3) (+ 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
2.0ms
x
@-inf
((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (+ (* (pow x 3) (+ (* 1/5 (* x x)) 1/3)) x) (pow x 3) (+ (* 1/5 (* x x)) 1/3) (+ (* (* (+ (* 2/5 (* x 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) (* x x) (* (+ (* 2/5 (* x x)) 2/3) x) (* (* (+ (* 2/5 (* x x)) 2/3) x) x))
2.0ms
x
@inf
((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (+ (* (pow x 3) (+ (* 1/5 (* x x)) 1/3)) x) (pow x 3) (+ (* 1/5 (* x x)) 1/3) (+ (* (* (+ (* 2/5 (* x 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) (* x x) (* (+ (* 2/5 (* x x)) 2/3) x) (* (* (+ (* 2/5 (* x x)) 2/3) x) x))
2.0ms
x
@0
((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (+ (* (pow x 3) (+ (* 1/5 (* x x)) 1/3)) x) (pow x 3) (+ (* 1/5 (* x x)) 1/3) (+ (* (* (+ (* 2/5 (* x 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) (* x x) (* (+ (* 2/5 (* x x)) 2/3) x) (* (* (+ (* 2/5 (* x x)) 2/3) x) x))

simplify193.0ms (5.4%)

Memory
-7.4MiB live, 178.1MiB allocated; 88ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124442
1451435
21551432
36721432
08521409
Stop Event
iter limit
node limit
Counts
44 → 43
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
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (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)
(* 2/3 x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 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)))))
(* 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)))))
(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))))))
(* 2/5 (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 3))
(* (pow x 3) (+ 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
#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))
(* 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)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* 2/3 (pow x 2))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) 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)))))
(* 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))
(* 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)))
(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))))
(* 2/5 (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 3))
(*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(+ (* -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)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(*.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)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) x) x) #s(literal 2 binary64)) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(*.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)))

rewrite38.0ms (1.1%)

Memory
4.9MiB live, 61.2MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031143
044143
0190133
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
11 → 40
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (+ x 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 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x))
(*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)
(*.f64 x x)
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (+ x 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 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.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 x)) (-.f64 (*.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 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.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 x x) (*.f64 (*.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)
(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)
(+.f64 (*.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 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 1/3 binary64))
(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 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64))
(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 x (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64))
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #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 (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 x (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))
(*.f64 x (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))

eval43.0ms (1.2%)

Memory
-24.8MiB live, 20.4MiB allocated; 9ms collecting garbage
Compiler

Compiled 2 531 to 396 computations (84.4% saved)

prune4.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New83184
Fresh000
Picked112
Done055
Total84791
Accuracy
100.0%
Counts
91 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
99.7%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)))
99.7%
(*.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)))
99.5%
(*.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)))
99.7%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)))
99.0%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
99.7%
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
Compiler

Compiled 157 to 111 computations (29.3% saved)

simplify160.0ms (4.5%)

Memory
24.6MiB live, 217.3MiB allocated; 21ms collecting garbage
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01656
02256
14950
217550
385150
4254250
5546750
0828748
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 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 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) 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)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)

localize68.0ms (1.9%)

Memory
-21.0MiB live, 71.5MiB allocated; 5ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.109375
(*.f64 (*.f64 x x) x)
accuracy0.1995992710984005
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
Samples
60.0ms256×0valid
Compiler

Compiled 47 to 18 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
const: 14.0ms (45.1% of total)
ival-mult: 8.0ms (25.8% of total)
ival-add: 4.0ms (12.9% of total)
ival-div: 2.0ms (6.4% of total)
ival-log1p: 2.0ms (6.4% of total)
ival-sub: 1.0ms (3.2% 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
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Counts
5 → 19
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 x x)
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
Outputs
(pow x 3)
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 2)
1/3
(+ 1/3 (* 1/5 (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)))))
(+ (* -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)))
Calls

3 calls:

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

simplify245.0ms (6.8%)

Memory
27.1MiB live, 166.8MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066190
1215184
2706182
33085182
08264170
Stop Event
iter limit
node limit
Counts
19 → 18
Calls
Call 1
Inputs
(pow x 3)
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 2)
1/3
(+ 1/3 (* 1/5 (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)))))
(+ (* -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)))
Outputs
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(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)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (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)) (pow.f64 x #s(literal 3 binary64)) x)
(pow x 2)
(*.f64 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))
(* 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 #s(literal 1 binary64) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 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 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/3 binary64)) x) x) #s(literal -1/5 binary64)) (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))
(+ (* -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)) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/3 binary64)) x) x) #s(literal -1/5 binary64)) (pow.f64 x #s(literal 5 binary64)))

rewrite53.0ms (1.5%)

Memory
6.5MiB live, 50.3MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01653
02247
110846
096245
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 81
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 x x)
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
Outputs
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 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))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 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 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/5 binary64) x)) x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/5 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) #s(literal 1/5 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (*.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) (*.f64 x x)) x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) x) (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(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 (*.f64 #s(literal 1/5 binary64) x) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)) x)
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)) x)
(fma.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) 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 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) (fma.f64 #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 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/5 binary64) (*.f64 x x))) (fma.f64 #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 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) x)
(fma.f64 x (*.f64 x (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)) x)
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) 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 (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(-.f64 x (*.f64 (neg.f64 (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)))
(+.f64 (+.f64 x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/5 binary64)) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/5 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(+.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.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)))
(/.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 (neg.f64 (*.f64 #s(literal 1/5 binary64) x)) x))
(-.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 (/.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)))

eval61.0ms (1.7%)

Memory
-55.1MiB live, 99.1MiB allocated; 24ms collecting garbage
Compiler

Compiled 3 444 to 440 computations (87.2% saved)

prune6.0ms (0.2%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1101111
Fresh000
Picked011
Done066
Total1108118
Accuracy
100.0%
Counts
118 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
99.7%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)))
99.7%
(*.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)))
99.5%
(*.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)))
99.7%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)))
99.0%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
99.7%
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
99.5%
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/5 (* x x)) 1/3) #s(literal 1/3 binary64)) x))
Compiler

Compiled 430 to 204 computations (52.6% saved)

regimes62.0ms (1.7%)

Memory
-14.3MiB live, 32.7MiB allocated; 1ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
(*.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 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/5 (* x x)) 1/3) #s(literal 1/3 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 (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) 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)))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)))
#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 (/ (+ x 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 x x) (-.f64 #s(literal 1 binary64) x))))
(*.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 x x) (-.f64 #s(literal 1 binary64) x))))
Calls

4 calls:

51.0ms
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
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
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)

regimes29.0ms (0.8%)

Memory
-3.6MiB live, 51.6MiB allocated; 4ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(*.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 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/5 (* x x)) 1/3) #s(literal 1/3 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 (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) 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)))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)))
#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 (/ (+ x 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))
Outputs
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)))
Calls

4 calls:

20.0ms
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
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
x
Results
AccuracySegmentsBranch
99.7%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
99.7%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.7%1(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.7%1x
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes10.0ms (0.3%)

Memory
36.7MiB live, 36.7MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
(*.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 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/5 (* x x)) 1/3) #s(literal 1/3 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 (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) 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)))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x)))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
Calls

4 calls:

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
2.0ms
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.7%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
99.7%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.7%1(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.7%1x
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes9.0ms (0.2%)

Memory
-21.0MiB live, 24.9MiB allocated; 3ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(*.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 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/5 (* x x)) 1/3) #s(literal 1/3 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)))
Outputs
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/5 (* x x)) 1/3) #s(literal 1/3 binary64)) x))
Calls

4 calls:

3.0ms
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
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
99.5%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.5%1(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.5%1x
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes5.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.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 #s(literal 2 binary64) 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
99.0%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
99.0%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.0%1(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.0%1x
Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify52.0ms (1.5%)

Memory
-11.6MiB live, 79.3MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044112
166112
2121112
3276112
41045112
54975112
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/5 (* x x)) 1/3) #s(literal 1/3 binary64)) 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) (log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.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)))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/5 (* x x)) 1/3) #s(literal 1/3 binary64)) x))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))

derivations202.0ms (5.6%)

Memory
-14.8MiB live, 175.6MiB allocated; 25ms collecting garbage
Stop Event
fuel
Compiler

Compiled 112 to 49 computations (56.3% saved)

preprocess48.0ms (1.3%)

Memory
9.7MiB live, 62.5MiB allocated; 7ms collecting garbage
Compiler

Compiled 244 to 116 computations (52.5% saved)

end0.0ms (0%)

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

Profiling

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