Rust f64::atanh

Time bar (total: 4.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
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)

sample394.0ms (9.9%)

Memory
28.6MiB live, 706.0MiB allocated
Samples
219.0ms8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-atanh: 71.0ms (88.6% of total)
ival-true: 5.0ms (6.2% of total)
ival-assert: 3.0ms (3.7% of total)
Bogosity

explain118.0ms (3%)

Memory
-14.2MiB live, 182.4MiB allocated
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
44.0ms512×0valid
Compiler

Compiled 92 to 31 computations (66.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (39.5% of total)
ival-sub: 3.0ms (16.9% of total)
ival-div: 3.0ms (16.9% of total)
ival-log1p: 3.0ms (16.9% of total)
exact: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess16.0ms (0.4%)

Memory
-9.0MiB live, 29.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 10 to 9 computations (10% saved)

simplify5.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize41.0ms (1%)

Memory
0.6MiB live, 39.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy0.0
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy0.00390625
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
accuracy0.0078125
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
Samples
16.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (43.2% of total)
ival-div: 2.0ms (21.6% of total)
ival-log1p: 2.0ms (21.6% of total)
ival-sub: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
4 → 26
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
Calls

3 calls:

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

simplify180.0ms (4.5%)

Memory
-17.5MiB live, 211.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite149.0ms (3.7%)

Memory
7.6MiB live, 200.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01528
15328
232928
3455528
0847228
Stop Event
iter limit
node limit
iter limit
Counts
4 → 324
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
Outputs
(*.f64 #s(literal 1/4 binary64) (log.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(*.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (sinh.f64 (acosh.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) (log.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) (log1p.f64 x))))))
(-.f64 (log.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(-.f64 (log.f64 (sin.f64 (acos.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)))
(-.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)))))
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eval54.0ms (1.4%)

Memory
-12.3MiB live, 107.9MiB allocated
Compiler

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

prune39.0ms (1%)

Memory
-17.7MiB live, 21.0MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3426348
Fresh000
Picked101
Done000
Total3436349
Accuracy
100.0%
Counts
349 → 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)))
99.5%
(*.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)))
99.2%
(*.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)))
98.5%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
99.3%
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
Compiler

Compiled 246 to 180 computations (26.8% saved)

simplify215.0ms (5.4%)

Memory
22.3MiB live, 212.9MiB allocated
Algorithm
egg-herbie
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
2289323
31132323
44099323
57425323
08088323
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)

localize161.0ms (4%)

Memory
-2.5MiB live, 201.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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)
accuracy0.01171875
(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))
accuracy0.015625
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
accuracy0.21803857155462755
#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)))
accuracy0.0078125
(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)
accuracy0.32315026196063856
#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)))
accuracy0.01171875
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy0.47984949323610404
#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)))
accuracy0.9327750490857598
#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
(log1p.f64 (/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x)))
accuracy0.0078125
(/.f64 (+.f64 x x) (-.f64 #s(literal 1 binary64) x))
Samples
61.0ms256×0valid
Compiler

Compiled 269 to 34 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 18.0ms (41.7% of total)
const: 9.0ms (20.8% of total)
ival-add: 8.0ms (18.5% of total)
ival-div: 3.0ms (6.9% of total)
ival-log1p: 3.0ms (6.9% of total)
ival-sub: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB allocated
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
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
@-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))

simplify192.0ms (4.8%)

Memory
-7.9MiB live, 227.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165698
1616687
22055675
08488641
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 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 2 binary64))
(* 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 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 x)))
(+ (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))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/5 binary64))))
(* -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 #s(literal -2/5 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #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))))

rewrite254.0ms (6.4%)

Memory
-17.6MiB live, 306.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036309
062293
1233293
21518293
08774293
Stop Event
iter limit
node limit
iter limit
Counts
23 → 602
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 (/.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))))
(+.f64 (log.f64 (pow.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1/4 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 (-.f64 (pow.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64))) (log1p.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 8 binary64))) (log1p.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 8 binary64))) (log1p.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 8 binary64))) (log.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 8 binary64))) (log1p.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.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 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.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 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) x)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.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 #s(literal -2 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.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 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(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)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
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(+.f64 (/.f64 #s(literal 8/27 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) (*.f64 #s(literal 2/3 binary64) x)))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) (*.f64 #s(literal 2/3 binary64) x)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) (*.f64 #s(literal 2/3 binary64) x)))) (/.f64 #s(literal 8/27 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) (*.f64 #s(literal 2/3 binary64) x)))))
(+.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))

eval121.0ms (3%)

Memory
30.2MiB live, 224.6MiB allocated
Compiler

Compiled 27 036 to 3 640 computations (86.5% saved)

prune28.0ms (0.7%)

Memory
4.0MiB live, 41.4MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New7071708
Fresh101
Picked055
Done000
Total7086714
Accuracy
100.0%
Counts
714 → 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))))
99.3%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 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)))
99.5%
(*.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)))
99.2%
(*.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)))
98.5%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
Compiler

Compiled 127 to 92 computations (27.6% saved)

simplify81.0ms (2%)

Memory
-23.4MiB live, 23.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01673
02273
14570
212765
333365
463265
579965
689765
7117965
8145065
9160165
10183265
11238865
12257265
13265965
14272265
15286465
16288665
17288665
18289065
0289061
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)))
(fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
x
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
#s(literal 2/3 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))))
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 #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)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64)) x))
(fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64)) x)
x
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal 2/3 binary64)

localize41.0ms (1%)

Memory
1.4MiB live, 76.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))))
accuracy0.1015625
(*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)
accuracy0.23046875
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
accuracy0.47984949323610404
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)))
Samples
28.0ms256×0valid
Compiler

Compiled 54 to 17 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (43.7% of total)
const: 5.0ms (24.3% of total)
ival-div: 2.0ms (9.7% of total)
ival-log1p: 2.0ms (9.7% of total)
ival-add: 1.0ms (4.9% of total)
ival-sub: 1.0ms (4.9% 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
8.2MiB live, 8.2MiB allocated
Counts
5 → 21
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)))
(fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
Outputs
(* 2/3 (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))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2/3 (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))))))
(* (pow x 3) (+ 2/3 (* 2 (/ 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)))
Calls

3 calls:

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

simplify147.0ms (3.7%)

Memory
17.7MiB live, 171.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089239
1322232
21054229
34419229
08269212
Stop Event
iter limit
node limit
Counts
21 → 20
Calls
Call 1
Inputs
(* 2/3 (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))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2/3 (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))))))
(* (pow x 3) (+ 2/3 (* 2 (/ 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)))
Outputs
(* 2/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 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)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* 2/3 (pow x 2))
(*.f64 (*.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 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x)
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x))

rewrite317.0ms (7.9%)

Memory
-34.1MiB live, 170.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01666
02266
18558
259258
0865854
Stop Event
iter limit
node limit
iter limit
Counts
5 → 207
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x)))
(fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
Outputs
(*.f64 (*.f64 (neg.f64 x) #s(literal -2/3 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(literal -2/3 binary64))
(*.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal -2/3 binary64) x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 x x))
(*.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x x)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(*.f64 (neg.f64 x) (*.f64 #s(literal -2/3 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x)
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 x (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(neg.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
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(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)))) (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)))))
(fma.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))) (/.f64 (neg.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))))
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))) (/.f64 (neg.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (neg.f64 (+.f64 x (*.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1 binary64) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) (/.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)))) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))) (/.f64 (neg.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 x x))) x)
(fma.f64 x (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))) x)
(fma.f64 x #s(literal -1 binary64) (neg.f64 (+.f64 x (*.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 x #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 x #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 x (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))) (/.f64 (neg.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))))
(fma.f64 x (*.f64 #s(literal -2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(fma.f64 x #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x))
(fma.f64 x (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) x))
(-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) x) x)
(-.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))))
(-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) (neg.f64 x))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)))) (/.f64 (neg.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)))))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))))
(-.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) (*.f64 #s(literal -2 binary64) x))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x)
(+.f64 (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)))) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)))))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)))) (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x)))))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))) (/.f64 (neg.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))))
(+.f64 (neg.f64 x) (neg.f64 (+.f64 x (*.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) (*.f64 #s(literal -2 binary64) x))
(+.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x))
(*.f64 (*.f64 #s(literal -2/3 binary64) x) (neg.f64 x))
(*.f64 #s(literal -2/3 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -2/3 binary64))
(*.f64 (*.f64 #s(literal 2/3 binary64) x) x)
(*.f64 (neg.f64 x) (*.f64 #s(literal -2/3 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x (neg.f64 (*.f64 #s(literal -2/3 binary64) x)))
(*.f64 x (*.f64 #s(literal 2/3 binary64) x))
(neg.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x x)))

eval29.0ms (0.7%)

Memory
37.2MiB live, 37.2MiB allocated
Compiler

Compiled 7 205 to 952 computations (86.8% saved)

prune43.0ms (1.1%)

Memory
-22.5MiB live, 26.3MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2261227
Fresh000
Picked101
Done055
Total2276233
Accuracy
100.0%
Counts
233 → 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))))
99.2%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x 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)))
99.5%
(*.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)))
99.2%
(*.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)))
98.5%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
Compiler

Compiled 126 to 91 computations (27.8% saved)

simplify67.0ms (1.7%)

Memory
-8.0MiB live, 29.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64))
cost-diff0
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)))
cost-diff1
(fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01564
02164
13964
27764
319664
452464
5110264
6141064
7167564
8179964
9197064
10213064
11219364
12233564
13235764
14235764
0235757
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x))
(fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)
(fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)))
(*.f64 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 #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)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64)) x))
(fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)
(*.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
#s(literal 1 binary64)

localize45.0ms (1.1%)

Memory
23.5MiB live, 61.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)))
accuracy0.00390625
(fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)
accuracy0.33203125
(*.f64 #s(literal 2/3 binary64) x)
accuracy0.47984949323610404
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x))
Samples
37.0ms256×0valid
Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 19.0ms (64.3% of total)
const: 3.0ms (10.2% of total)
ival-div: 2.0ms (6.8% of total)
ival-add: 2.0ms (6.8% of total)
ival-log1p: 2.0ms (6.8% of total)
ival-sub: 1.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.7%)

Memory
-32.7MiB live, 4.8MiB allocated
Counts
5 → 25
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x))
(fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 2/3 binary64) x)
Outputs
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
1
(+ 1 (* 2/3 (pow x 2)))
(* 2/3 x)
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 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)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
Calls

3 calls:

TimeVariablePointExpression
26.0ms
x
@-inf
((+ (* (+ (* (* 2/3 x) x) 1) x) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ (* (* 2/3 x) x) 1) (* 2/3 x))
1.0ms
x
@inf
((+ (* (+ (* (* 2/3 x) x) 1) x) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ (* (* 2/3 x) x) 1) (* 2/3 x))
1.0ms
x
@0
((+ (* (+ (* (* 2/3 x) x) 1) x) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ (* (* 2/3 x) x) 1) (* 2/3 x))

simplify219.0ms (5.5%)

Memory
21.5MiB live, 136.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093257
1336250
21081247
34439247
08450228
Stop Event
iter limit
node limit
Counts
25 → 24
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
1
(+ 1 (* 2/3 (pow x 2)))
(* 2/3 x)
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 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)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x)
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)
(* 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)
1
#s(literal 1 binary64)
(+ 1 (* 2/3 (pow x 2)))
(fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 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 (*.f64 x x) #s(literal 2/3 binary64) #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))))
(* 2/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x))

rewrite206.0ms (5.2%)

Memory
-3.8MiB live, 154.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01560
02160
18560
261560
0811953
Stop Event
iter limit
node limit
iter limit
Counts
5 → 204
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x))
(fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 2/3 binary64) x)
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) (*.f64 x x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))) x) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)) (*.f64 x x))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x))
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -2/3 binary64) x) x #s(literal -1 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)))) (*.f64 (*.f64 x (/.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)))) (*.f64 x (/.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64))) (*.f64 x (/.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)) (*.f64 x x))))) (-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 x (/.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)))) (*.f64 x (/.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64))) (*.f64 x (/.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64)) (*.f64 x x)))
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(+.f64 (pow.f64 (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -2/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -2/3 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -2/3 binary64) x) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -2/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal 2/3 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -2/3 binary64) x)) x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 x #s(literal 2/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2/3 binary64)) x))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) x)

eval88.0ms (2.2%)

Memory
-13.3MiB live, 77.2MiB allocated
Compiler

Compiled 8 831 to 1 083 computations (87.7% saved)

prune7.0ms (0.2%)

Memory
19.7MiB live, 19.7MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2260226
Fresh000
Picked011
Done055
Total2266232
Accuracy
100.0%
Counts
232 → 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))))
99.2%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x 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)))
99.5%
(*.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)))
99.2%
(*.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)))
98.5%
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
Compiler

Compiled 304 to 149 computations (51% saved)

regimes20.0ms (0.5%)

Memory
-6.7MiB live, 30.7MiB allocated
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)))
(*.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(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 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 (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)) #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:

11.0ms
(log1p.f64 (/.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
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
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%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
100.0%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes13.0ms (0.3%)

Memory
-5.3MiB live, 31.9MiB allocated
Counts
7 → 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)))
(*.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(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 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 (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)) #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:

5.0ms
(*.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)))
2.0ms
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
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%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.7%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes11.0ms (0.3%)

Memory
0.4MiB live, 36.9MiB allocated
Counts
5 → 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)))
(*.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(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 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)))
Outputs
(*.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)))
Calls

4 calls:

5.0ms
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.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)))
2.0ms
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
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%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.5%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes8.0ms (0.2%)

Memory
24.7MiB live, 24.8MiB allocated
Counts
4 → 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)))
(*.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(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) x))))
Outputs
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 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
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.3%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.3%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes10.0ms (0.2%)

Memory
-27.2MiB live, 22.4MiB allocated
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)))
(*.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(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x x)))
Outputs
(*.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)))
Calls

4 calls:

5.0ms
(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
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.2%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.2%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes5.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
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
98.5%1x
98.5%1(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
98.5%1(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
98.5%1(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify29.0ms (0.7%)

Memory
-17.3MiB live, 21.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041127
151127
262127
380127
4111127
5149127
6166127
Stop Event
saturated
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)))
(*.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)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 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)))
(*.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)))
(*.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)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 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)))
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))

soundness553.0ms (13.9%)

Memory
9.6MiB live, 450.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01528
15328
232928
3455528
0847228
036309
062293
1233293
21518293
08774293
0106302
1386291
21315282
35633282
08077262
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 228 to 115 computations (49.6% saved)

preprocess37.0ms (0.9%)

Memory
8.4MiB live, 46.8MiB allocated
Compiler

Compiled 274 to 104 computations (62% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...