Hyperbolic arc-(co)tangent

Time bar (total: 9.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze3.0ms (0%)

Memory
5.4MiB live, 5.4MiB 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 14 to 11 computations (21.4% saved)

sample4.1s (43.6%)

Memory
-53.8MiB live, 4 303.5MiB allocated
Samples
2.1s3 092×2valid
1.5s4 832×1valid
35.0ms332×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 3.3s
ival-log: 1.5s (45.7% of total)
ival-div: 902.0ms (27.2% of total)
adjust: 389.0ms (11.7% of total)
ival-add: 191.0ms (5.8% of total)
ival-mult: 152.0ms (4.6% of total)
ival-sub: 147.0ms (4.4% of total)
exact: 9.0ms (0.3% of total)
ival-true: 7.0ms (0.2% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

explain406.0ms (4.3%)

Memory
-60.0MiB live, 304.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-0-(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
00-0-(+.f64 #s(literal 1 binary64) x)
00-0-#s(literal 2 binary64)
00-0-(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))sensitivity2530
Confusion
Predicted +Predicted -
+2530
-03
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25300
-003
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
183.0ms196×2valid
60.0ms284×1valid
3.0ms32×0valid
Compiler

Compiled 94 to 31 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-log: 98.0ms (67% of total)
adjust: 14.0ms (9.6% of total)
ival-div: 12.0ms (8.2% of total)
ival-sub: 7.0ms (4.8% of total)
ival-add: 7.0ms (4.8% of total)
ival-mult: 7.0ms (4.8% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess13.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
12524
23024
33224
0910
01610
12410
22510
02510
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0%)

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

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01635
12435
22535
02535
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(-.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
(-.f64 #s(literal 1 binary64) x)

localize170.0ms (1.8%)

Memory
7.1MiB live, 91.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy0.0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy0.02734375
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy58.04061930076627
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
Samples
94.0ms98×2valid
65.0ms142×1valid
1.0ms16×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-log: 86.0ms (58.4% of total)
ival-mult: 41.0ms (27.8% of total)
adjust: 7.0ms (4.7% of total)
ival-div: 6.0ms (4.1% of total)
ival-add: 4.0ms (2.7% of total)
ival-sub: 3.0ms (2% 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%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
5 → 29
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 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))))))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 1 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (/ 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)) 1)
Calls

3 calls:

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

simplify163.0ms (1.7%)

Memory
8.1MiB live, 255.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110303
1399292
21325285
35598285
08228264
Stop Event
iter limit
node limit
Counts
29 → 28
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))))))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 1 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (/ 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)) 1)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #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)
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 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))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 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 1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 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 (/.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)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))

rewrite210.0ms (2.2%)

Memory
-27.0MiB live, 244.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01629
15028
226828
3288728
0919822
Stop Event
iter limit
node limit
iter limit
Counts
5 → 665
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
Outputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1/4 binary64))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log1p.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x))))
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(+.f64 (*.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) x))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)))
(+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)

eval191.0ms (2%)

Memory
14.1MiB live, 305.7MiB allocated
Compiler

Compiled 19 343 to 2 679 computations (86.2% saved)

prune17.0ms (0.2%)

Memory
10.9MiB live, 57.8MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6829691
Fresh000
Picked101
Done000
Total6839692
Accuracy
100.0%
Counts
692 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.1%
(-.f64 (log.f64 (hypot.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))) (log.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))))
100.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
9.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
99.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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)))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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)))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
98.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)))
9.2%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.3%
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
Compiler

Compiled 392 to 254 computations (35.2% saved)

simplify143.0ms (1.5%)

Memory
-1.9MiB live, 187.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff3
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x))
cost-diff6
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
cost-diff0
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
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 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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-diff2
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
cost-diff0
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x)))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040269
068269
1116240
2242230
3775230
43337230
08196230
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(log1p.f64 x)
x
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
x
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (log (/ (+ 1 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(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
x
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x)))
(-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(*.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
x
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (log (/ (+ 1 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 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #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 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #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))
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
#s(literal 2/5 binary64)
(*.f64 x x)
x
#s(literal 2/3 binary64)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(log.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
x

localize364.0ms (3.8%)

Memory
1.4MiB live, 478.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x))
accuracy0.01953125
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
accuracy0.02734375
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
accuracy58.04061930076627
(log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
accuracy0.0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
accuracy0.0
(pow.f64 x #s(literal 3 binary64))
accuracy0.4335091085214513
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy0.015625
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
accuracy0.3514767712323888
#s(approx (log (/ (+ 1 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 #s(literal 1 binary64) #s(literal 2 binary64))
accuracy0.0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)))
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy0.7490046775428523
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
accuracy0.0
(neg.f64 x)
accuracy0.0
(log1p.f64 x)
accuracy0.00390625
(log1p.f64 (*.f64 (neg.f64 x) x))
accuracy0.01171875
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x)))
Samples
168.0ms98×2valid
137.0ms143×1valid
24.0ms15×0valid
Compiler

Compiled 271 to 38 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 283.0ms
ival-log: 117.0ms (41.4% of total)
ival-mult: 69.0ms (24.4% of total)
const: 29.0ms (10.3% of total)
adjust: 23.0ms (8.1% of total)
ival-div: 14.0ms (5% of total)
ival-add: 12.0ms (4.2% of total)
ival-log1p: 7.0ms (2.5% of total)
ival-sub: 5.0ms (1.8% of total)
ival-pow: 4.0ms (1.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
-21.6MiB live, 27.1MiB allocated
Counts
23 → 94
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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 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)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (*.f64 (neg.f64 x) x))
(log1p.f64 x)
(neg.f64 x)
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
(log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 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 (* -1 x)))
(* x (+ 2 (* x (- (* 2/3 x) 1))))
(* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))
(pow x 3)
1
(+ 1 x)
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 x)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(pow x 2)
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* 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))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))
(- (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1 (pow x 2)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 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))))))
(* 2/5 (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)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(+ (log -1) (* -2 (log (/ 1 x))))
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x))))))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (/ 1 x))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))))
(- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(* 2 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (/ 1 x) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 x)) 1) x)) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -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 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(+ (log -1) (* -2 (log (/ -1 x))))
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* 2 (log (+ 1 x))) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) 1/3) x) (pow x 3) (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (+ (* (- 1 x) x) (- 1 x)) (* (/ 1 2) (log (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x)))) (log (+ 1 (* (neg x) x))) (log (+ 1 x)) (neg x) (+ (* 2/5 (* x x)) 2/3) (* x x) (log (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x))) (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x)))
4.0ms
x
@0
((/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* 2 (log (+ 1 x))) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) 1/3) x) (pow x 3) (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (+ (* (- 1 x) x) (- 1 x)) (* (/ 1 2) (log (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x)))) (log (+ 1 (* (neg x) x))) (log (+ 1 x)) (neg x) (+ (* 2/5 (* x x)) 2/3) (* x x) (log (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x))) (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x)))
4.0ms
x
@inf
((/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* 2 (log (+ 1 x))) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) 1/3) x) (pow x 3) (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (+ (* (- 1 x) x) (- 1 x)) (* (/ 1 2) (log (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x)))) (log (+ 1 (* (neg x) x))) (log (+ 1 x)) (neg x) (+ (* 2/5 (* x x)) 2/3) (* x x) (log (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x))) (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x)))

simplify205.0ms (2.2%)

Memory
16.5MiB live, 251.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02761217
19251164
230061137
084681087
Stop Event
iter limit
node limit
Counts
94 → 93
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 (* -1 x)))
(* x (+ 2 (* x (- (* 2/3 x) 1))))
(* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))
(pow x 3)
1
(+ 1 x)
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 x)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(pow x 2)
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* 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))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))
(- (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1 (pow x 2)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 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))))))
(* 2/5 (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)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(+ (log -1) (* -2 (log (/ 1 x))))
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x))))))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (/ 1 x))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))))
(- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(* 2 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (/ 1 x) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 x)) 1) x)) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -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 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(+ (log -1) (* -2 (log (/ -1 x))))
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #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 (* -1 x)))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(* x (+ 2 (* x (- (* 2/3 x) 1))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 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))
(pow x 2)
(*.f64 x x)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(* -1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))
(+ (* -1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (* 2 (/ 1 x)) (log -1))
(-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -1 binary64)))
(* -2 (log (/ 1 x)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(- (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1 (pow x 2)))
(-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))
(+.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x) x))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(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 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(-.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 5 binary64))))
(* 2/5 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/5 binary64))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2/5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) #s(literal 2/5 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)
(+ (log -1) (* -2 (log (/ 1 x))))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)))
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))
(-.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x x)))
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(-.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(-.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))
(* 2/5 (pow x 2))
(*.f64 #s(literal 2/5 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x) #s(literal 1 binary64))
(* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x))))))
(*.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (/ 1 x))
(fma.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (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 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))))
(fma.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) (neg.f64 x)))
(- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x))) (+ (log -1) (* -2 (log (/ -1 x)))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (+ (log -1) (* -2 (log (/ -1 x)))))
(fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))))
(- (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) #s(literal 2 binary64)) (neg.f64 x))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))))
(* 2 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x)))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (- (/ 1 x) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)))
(+ (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 x)) 1) x)) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) (neg.f64 x)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) #s(literal -2 binary64)) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -2/3 binary64)) (*.f64 x x)) #s(literal 2/5 binary64)))
(+ (log -1) (* -2 (log (/ -1 x))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x x)))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x) #s(literal 1 binary64))

rewrite208.0ms (2.2%)

Memory
18.1MiB live, 206.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040231
068226
1227187
21518187
08309184
Stop Event
iter limit
node limit
iter limit
Counts
23 → 682
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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 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)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (*.f64 (neg.f64 x) x))
(log1p.f64 x)
(neg.f64 x)
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
(log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
Outputs
#s(literal 1/2 binary64)
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eval148.0ms (1.6%)

Memory
6.0MiB live, 243.0MiB allocated
Compiler

Compiled 28 413 to 3 999 computations (85.9% saved)

prune19.0ms (0.2%)

Memory
3.9MiB live, 48.7MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New7868794
Fresh314
Picked505
Done000
Total7949803
Accuracy
100.0%
Counts
803 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))))
9.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
99.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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)))
99.4%
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
98.8%
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
9.2%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
9.2%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.3%
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
Compiler

Compiled 394 to 264 computations (33% saved)

simplify173.0ms (1.8%)

Memory
11.0MiB live, 155.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
cost-diff0
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
cost-diff0
(log1p.f64 x)
cost-diff0
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
cost-diff0
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049405
084405
1130405
2244405
3644405
41853405
53452405
64462405
75149405
85828405
96663405
107712405
08231405
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
#s(literal 1/2 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
#s(literal 2 binary64)
(log1p.f64 x)
x
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(log1p.f64 x)
x
#s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal -1/4 binary64) x) x)
(*.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x)))
(-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(*.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(log1p.f64 x)
x
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (log (/ (+ 1 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 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (log (/ (+ 1 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 (*.f64 x x) #s(literal 2/5 binary64) #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 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))
(-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(*.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
x
#s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x))
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x)
(-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal -1/4 binary64) x) x)
(*.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)

localize250.0ms (2.6%)

Memory
-8.1MiB live, 226.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
accuracy0.021816259768442016
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))
accuracy0.1328125
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x))
accuracy0.28195760450906254
#s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy0.0
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy0.02734375
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy58.04061930076627
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy0.015625
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
accuracy0.3514767712323888
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0.0
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy0.7490046775428523
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
accuracy0.0
(neg.f64 x)
accuracy0.0
(log1p.f64 x)
accuracy0.00390625
(log1p.f64 (*.f64 (neg.f64 x) x))
accuracy0.01171875
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x)))
Samples
109.0ms142×1valid
103.0ms98×2valid
5.0ms16×0valid
Compiler

Compiled 336 to 40 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-mult: 46.0ms (26.1% of total)
adjust: 41.0ms (23.3% of total)
ival-log: 31.0ms (17.6% of total)
ival-log1p: 17.0ms (9.7% of total)
const: 15.0ms (8.5% of total)
ival-sub: 12.0ms (6.8% of total)
ival-add: 7.0ms (4% of total)
ival-div: 6.0ms (3.4% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
26 → 109
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(log1p.f64 x)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))))
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))
(log1p.f64 (*.f64 (neg.f64 x) x))
(neg.f64 x)
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
#s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 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 (* -1 x)))
(* x (+ 2 (* x (- (* 2/3 x) 1))))
(* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 1 x)
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(* -1 x)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(pow x 2)
(* -1/3 (pow x 2))
(* (pow x 2) (- (* -1/4 (pow x 2)) 1/3))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/3 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))
(- (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1 (pow x 2)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (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))))))
(* 2/5 (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)))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(+ (log -1) (* -2 (log (/ 1 x))))
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1/4 (pow x 6))
(* -1 (* (pow x 6) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(* -1/4 (pow x 8))
(* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x))))))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (/ 1 x))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))))
(- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(* 2 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (/ 1 x) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 x)) 1) x)) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 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 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+ (log -1) (* -2 (log (/ -1 x))))
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((* 1/2 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* 2 (log (+ 1 x))) (log (+ 1 x)) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* x 2) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* (* x x) 2/5) 2/3) (* x x)) 2) x) (+ (* (+ (* (* x x) 2/5) 2/3) (* x x)) 2) (* 1/2 (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (/ (+ 1 x) (- 1 x)) (+ 1 x) (/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (log (+ 1 (* (neg x) x))) (neg x) (+ (* (* x x) 2/5) 2/3) (* x x) (log (+ 1 (* (neg x) x))) (* (- (* (* -1/4 x) x) 1/3) (* x x)) (* (- (* (- (* (* -1/4 x) x) 1/3) (* x x)) 1/2) (* x x)) (* (- (* (- (* (- (* (* -1/4 x) x) 1/3) (* x x)) 1/2) (* x x)) 1) (* x x)))
2.0ms
x
@-inf
((* 1/2 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* 2 (log (+ 1 x))) (log (+ 1 x)) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* x 2) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* (* x x) 2/5) 2/3) (* x x)) 2) x) (+ (* (+ (* (* x x) 2/5) 2/3) (* x x)) 2) (* 1/2 (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (/ (+ 1 x) (- 1 x)) (+ 1 x) (/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (log (+ 1 (* (neg x) x))) (neg x) (+ (* (* x x) 2/5) 2/3) (* x x) (log (+ 1 (* (neg x) x))) (* (- (* (* -1/4 x) x) 1/3) (* x x)) (* (- (* (- (* (* -1/4 x) x) 1/3) (* x x)) 1/2) (* x x)) (* (- (* (- (* (- (* (* -1/4 x) x) 1/3) (* x x)) 1/2) (* x x)) 1) (* x x)))
2.0ms
x
@0
((* 1/2 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* 2 (log (+ 1 x))) (log (+ 1 x)) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* x 2) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* (* x x) 2/5) 2/3) (* x x)) 2) x) (+ (* (+ (* (* x x) 2/5) 2/3) (* x x)) 2) (* 1/2 (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (/ (+ 1 x) (- 1 x)) (+ 1 x) (/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (log (+ 1 (* (neg x) x))) (neg x) (+ (* (* x x) 2/5) 2/3) (* x x) (log (+ 1 (* (neg x) x))) (* (- (* (* -1/4 x) x) 1/3) (* x x)) (* (- (* (- (* (* -1/4 x) x) 1/3) (* x x)) 1/2) (* x x)) (* (- (* (- (* (- (* (* -1/4 x) x) 1/3) (* x x)) 1/2) (* x x)) 1) (* x x)))

simplify152.0ms (1.6%)

Memory
1.4MiB live, 139.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02991397
110061347
233001314
083361262
Stop Event
iter limit
node limit
Counts
109 → 108
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 (* -1 x)))
(* x (+ 2 (* x (- (* 2/3 x) 1))))
(* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 1 x)
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(* -1 x)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(pow x 2)
(* -1/3 (pow x 2))
(* (pow x 2) (- (* -1/4 (pow x 2)) 1/3))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/3 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))
(- (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1 (pow x 2)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (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))))))
(* 2/5 (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)))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(+ (log -1) (* -2 (log (/ 1 x))))
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1/4 (pow x 6))
(* -1 (* (pow x 6) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(* -1/4 (pow x 8))
(* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x))))))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (/ 1 x))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))))
(- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(* 2 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (/ 1 x) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 x)) 1) x)) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 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 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+ (log -1) (* -2 (log (/ -1 x))))
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 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 (* -1 x)))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(* x (+ 2 (* x (- (* 2/3 x) 1))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 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))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(* -1 x)
(neg.f64 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))
(pow x 2)
(*.f64 x x)
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* (pow x 2) (- (* -1/4 (pow x 2)) 1/3))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) x)
(* (pow x 2) (- (* -1/3 (pow x 2)) 1/2))
(*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))
(* -1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))
(+ (* -1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (* 2 (/ 1 x)) (log -1))
(-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -1 binary64)))
(* -2 (log (/ 1 x)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(- (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1 (pow x 2)))
(-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x) x)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(-.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(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 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(-.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 5 binary64))))
(* 2/5 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/5 binary64))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2/5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/5 binary64)) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 2/5 (pow x 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)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x) #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(+ (log -1) (* -2 (log (/ 1 x))))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)))
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))
(-.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) (log.f64 #s(literal -1 binary64)))
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(-.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(* 2/5 (pow x 2))
(*.f64 #s(literal 2/5 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/4 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/4 binary64))
(* -1 (* (pow x 6) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* -1/4 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/4 binary64))
(* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x))))))
(*.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (/ 1 x))
(fma.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (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 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))))
(fma.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) (neg.f64 x)))
(- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x))) (+ (log -1) (* -2 (log (/ -1 x)))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (+ (log -1) (* -2 (log (/ -1 x)))))
(fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))))
(- (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) #s(literal 2 binary64)) (neg.f64 x))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))))
(* 2 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x)))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (- (/ 1 x) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)))
(+ (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 x)) 1) x)) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) x))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) (neg.f64 x)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) #s(literal -2 binary64)) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -2/3 binary64)) (*.f64 x x)) #s(literal 2/5 binary64)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x) #s(literal 1 binary64))
(+ (log -1) (* -2 (log (/ -1 x))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (log.f64 #s(literal -1 binary64))))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (log.f64 #s(literal -1 binary64))))

rewrite204.0ms (2.1%)

Memory
-4.9MiB live, 141.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049322
084316
1256316
21588316
08452316
Stop Event
iter limit
node limit
iter limit
Counts
26 → 433
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(log1p.f64 x)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))))
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))
(log1p.f64 (*.f64 (neg.f64 x) x))
(neg.f64 x)
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
#s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
Outputs
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)))) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x)))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) (-.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x)))) (*.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x)))))))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))))
(*.f64 x (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))

eval118.0ms (1.2%)

Memory
-23.1MiB live, 118.1MiB allocated
Compiler

Compiled 27 039 to 3 338 computations (87.7% saved)

prune14.0ms (0.1%)

Memory
34.0MiB live, 34.0MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New6524656
Fresh224
Picked235
Done000
Total6569665
Accuracy
100.0%
Counts
665 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))
98.8%
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
99.4%
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
9.8%
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
9.2%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
9.2%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.6%
(*.f64 #s(literal 1/2 binary64) #s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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)))
99.3%
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
Compiler

Compiled 336 to 224 computations (33.3% saved)

simplify120.0ms (1.3%)

Memory
-0.2MiB live, 90.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
cost-diff3
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x))
cost-diff6
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
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 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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 x x)
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)
cost-diff0
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
cost-diff2
(*.f64 (*.f64 x x) x)
cost-diff0
(+.f64 x x)
cost-diff0
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x))
cost-diff0
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
cost-diff0
(log1p.f64 x)
cost-diff0
(*.f64 (log1p.f64 x) #s(literal 2 binary64))
cost-diff0
(-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))
cost-diff0
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055497
089492
1153457
2352447
31163447
44132447
08874442
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))
(-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))
(*.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
x
#s(literal 2 binary64)
#s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x)
(-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal -1/4 binary64) x) x)
(*.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x))
(+.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) #s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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)
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))
(-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))))
(*.f64 (log1p.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(log1p.f64 x)
x
#s(literal 2 binary64)
#s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x)
(-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal -1/4 binary64) x) x)
(*.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) #s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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)
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(log.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize357.0ms (3.8%)

Memory
-20.7MiB live, 306.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x))
accuracy0.01953125
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
accuracy0.02734375
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
accuracy58.04061930076627
(log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
accuracy0.00390625
(*.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)
accuracy0.01953125
(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))
accuracy0.01953125
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
accuracy0.2717705779444249
#s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)
accuracy0.0
(*.f64 x x)
accuracy0.0859375
(*.f64 (*.f64 x x) x)
accuracy0.4335091085214513
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
accuracy0.0
(+.f64 x x)
accuracy0.0
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
accuracy0.7490046775428523
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x))
accuracy0.021816259768442016
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x))
accuracy0.12890625
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x)
accuracy0.28195760450906254
#s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
accuracy0.32421875
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x)
Samples
168.0ms98×2valid
135.0ms143×1valid
8.0ms15×0valid
Compiler

Compiled 401 to 55 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 270.0ms
ival-mult: 73.0ms (27% of total)
ival-log: 61.0ms (22.6% of total)
ival-div: 33.0ms (12.2% of total)
adjust: 32.0ms (11.8% of total)
const: 32.0ms (11.8% of total)
ival-sub: 15.0ms (5.5% of total)
ival-add: 15.0ms (5.5% of total)
ival-log1p: 7.0ms (2.6% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Counts
26 → 123
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))
(-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))
(*.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x))
(+.f64 x x)
(*.f64 (*.f64 x x) x)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)
(*.f64 x x)
(*.f64 #s(literal 1/2 binary64) #s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x)
#s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x))
(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))
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 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 (* -1 x)))
(* x (+ 2 (* x (- (* 2/3 x) 1))))
(* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(pow x 3)
(pow x 2)
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)))))))
1
(+ 1 x)
(+ 1 (* -1 (pow x 2)))
(* -1/3 x)
(* x (- (* -1/4 (pow x 2)) 1/3))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* -1/4 (pow x 2)) 1/3))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/3 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2))
2/5
(+ 2/5 (* 2/7 (pow x 2)))
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* 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))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))
(- (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1 (pow x 2)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (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))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 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)))))))
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(+ (log -1) (* -2 (log (/ 1 x))))
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1/4 (pow x 6))
(* -1 (* (pow x 6) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(* 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 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x))))))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (/ 1 x))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))))
(- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(* 2 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (/ 1 x) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 x)) 1) x)) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 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 (* (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)))))))
(+ (log -1) (* -2 (log (/ -1 x))))
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((* (- (* (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) 1/2) (- (* (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) (* (log (+ 1 x)) 2) (log (+ 1 x)) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (+ x x) (* (* x x) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (* (* x x) x) 1/3) x) (* x x) (* 1/2 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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) (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (+ (* (- 1 x) x) (- 1 x)) (* 1/2 (log (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x)))) (log (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x))) (* (- (* (* -1/4 x) x) 1/3) x) (log (+ 1 (* (neg x) x))) (* (* (- (* (* -1/4 x) x) 1/3) x) x) (* (- (* (* (- (* (* -1/4 x) x) 1/3) x) x) 1/2) (* x x)) (+ (* 2/7 (* x x)) 2/5) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x)))
3.0ms
x
@inf
((* (- (* (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) 1/2) (- (* (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) (* (log (+ 1 x)) 2) (log (+ 1 x)) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (+ x x) (* (* x x) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (* (* x x) x) 1/3) x) (* x x) (* 1/2 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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) (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (+ (* (- 1 x) x) (- 1 x)) (* 1/2 (log (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x)))) (log (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x))) (* (- (* (* -1/4 x) x) 1/3) x) (log (+ 1 (* (neg x) x))) (* (* (- (* (* -1/4 x) x) 1/3) x) x) (* (- (* (* (- (* (* -1/4 x) x) 1/3) x) x) 1/2) (* x x)) (+ (* 2/7 (* x x)) 2/5) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x)))
3.0ms
x
@0
((* (- (* (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) 1/2) (- (* (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) (* (log (+ 1 x)) 2) (log (+ 1 x)) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (+ x x) (* (* x x) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (* (* x x) x) 1/3) x) (* x x) (* 1/2 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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) (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (+ (* (- 1 x) x) (- 1 x)) (* 1/2 (log (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x)))) (log (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x))) (* (- (* (* -1/4 x) x) 1/3) x) (log (+ 1 (* (neg x) x))) (* (* (- (* (* -1/4 x) x) 1/3) x) x) (* (- (* (* (- (* (* -1/4 x) x) 1/3) x) x) 1/2) (* x x)) (+ (* 2/7 (* x x)) 2/5) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (/ (/ (+ (* (- 1 x) x) (- 1 x)) (- 1 x)) (- 1 x)))

simplify210.0ms (2.2%)

Memory
-1.6MiB live, 144.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03171543
110791490
235701456
090461396
Stop Event
iter limit
node limit
Counts
123 → 122
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 (* -1 x)))
(* x (+ 2 (* x (- (* 2/3 x) 1))))
(* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(pow x 3)
(pow x 2)
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)))))))
1
(+ 1 x)
(+ 1 (* -1 (pow x 2)))
(* -1/3 x)
(* x (- (* -1/4 (pow x 2)) 1/3))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* -1/4 (pow x 2)) 1/3))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/3 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2))
2/5
(+ 2/5 (* 2/7 (pow x 2)))
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* 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))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))
(- (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1 (pow x 2)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (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))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 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)))))))
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(+ (log -1) (* -2 (log (/ 1 x))))
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1/4 (pow x 6))
(* -1 (* (pow x 6) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(* 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 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x))))))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (/ 1 x))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))))
(- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(* 2 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (/ 1 x) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 x)) 1) x)) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 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 (* (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)))))))
(+ (log -1) (* -2 (log (/ -1 x))))
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #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 (* -1 x)))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(* x (+ 2 (* x (- (* 2/3 x) 1))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 2)
(*.f64 x 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))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* -1/4 (pow x 2)) 1/3))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
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(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) #s(literal -2/5 binary64)) x) x) #s(literal 2/7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/7 binary64))))
(+ (log -1) (* -2 (log (/ -1 x))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (log.f64 #s(literal -1 binary64))))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (log.f64 #s(literal -1 binary64))))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x) #s(literal 1 binary64))

rewrite164.0ms (1.7%)

Memory
5.3MiB live, 142.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055399
089385
1334346
22340346
08178341
Stop Event
iter limit
node limit
iter limit
Counts
26 → 693
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))
(-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))
(*.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x))
(+.f64 x x)
(*.f64 (*.f64 x x) x)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)
(*.f64 x x)
(*.f64 #s(literal 1/2 binary64) #s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x)
#s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x))
(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))
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))))))
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(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
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(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))

eval144.0ms (1.5%)

Memory
38.2MiB live, 217.7MiB allocated
Compiler

Compiled 36 584 to 4 735 computations (87.1% saved)

prune30.0ms (0.3%)

Memory
-40.6MiB live, 58.8MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New9170917
Fresh011
Picked055
Done033
Total9179926
Accuracy
100.0%
Counts
926 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))
98.8%
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
99.4%
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
9.8%
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
9.2%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
9.2%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.6%
(*.f64 #s(literal 1/2 binary64) #s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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)))
99.3%
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
Compiler

Compiled 691 to 260 computations (62.4% saved)

regimes19.0ms (0.2%)

Memory
33.4MiB live, 33.4MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (hypot.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))) (log.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))))
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
Calls

4 calls:

6.0ms
x
4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
4.0ms
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
4.0ms
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
100.0%1(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
100.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
100.0%1x
Compiler

Compiled 28 to 21 computations (25% saved)

regimes19.0ms (0.2%)

Memory
-25.8MiB live, 19.8MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))))
Outputs
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))
Calls

4 calls:

7.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
4.0ms
x
3.0ms
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
3.0ms
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.6%1(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
99.6%1(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.6%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.6%1x
Compiler

Compiled 28 to 21 computations (25% saved)

regimes14.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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 (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
Outputs
(*.f64 #s(literal 1/2 binary64) #s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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:

4.0ms
x
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
3.0ms
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
3.0ms
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
99.6%1(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
99.6%1(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.6%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.6%1x
Compiler

Compiled 28 to 21 computations (25% saved)

regimes7.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
Outputs
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
Calls

4 calls:

2.0ms
x
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
99.4%1(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
99.4%1(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.4%1x
Compiler

Compiled 28 to 21 computations (25% saved)

regimes6.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)))
Outputs
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
Calls

4 calls:

2.0ms
x
1.0ms
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
99.3%1(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
99.3%1(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.3%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.3%1x
Compiler

Compiled 28 to 21 computations (25% saved)

regimes6.0ms (0.1%)

Memory
-40.9MiB live, 6.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

2.0ms
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms
x
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.8%1(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
98.8%1(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
98.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
98.8%1x
Compiler

Compiled 28 to 21 computations (25% saved)

simplify17.0ms (0.2%)

Memory
14.6MiB live, 14.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060140
194140
2124140
3144140
4173140
5241140
6245140
7249140
8256140
9268140
10281140
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(approx (log (+ 1 (* (neg x) x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) 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 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))

soundness980.0ms (10.3%)

Memory
-17.1MiB live, 472.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02991397
110061347
233001314
083361262
040231
068226
1227187
21518187
08309184
049322
084316
1256316
21588316
08452316
0929
01629
15028
226828
3288728
0919822
0110303
1399292
21325285
35598285
08228264
02761217
19251164
230061137
084681087
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 441 to 206 computations (53.3% saved)

preprocess35.0ms (0.4%)

Memory
31.9MiB live, 31.9MiB allocated
Compiler

Compiled 312 to 142 computations (54.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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