Hyperbolic arc-(co)tangent

Time bar (total: 9.3s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze3.0ms (0%)

Memory
13.3MiB live, 13.3MiB allocated
Algorithm
1×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)

sample4.5s (48.5%)

Memory
-151.4MiB live, 4 531.0MiB allocated
Samples
2.6s3 034×2valid
1.5s4 891×1valid
35.0ms331×0valid
0.0ms6×0invalid
Precisions
Click to see histograms. Total time spent on operations: 3.5s
ival-log: 1.6s (46.6% of total)
ival-sub: 742.0ms (21.2% of total)
adjust: 340.0ms (9.7% of total)
ival-add: 305.0ms (8.7% of total)
ival-div: 274.0ms (7.8% of total)
ival-mult: 194.0ms (5.5% 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

explain274.0ms (2.9%)

Memory
-8.2MiB live, 375.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2521(-0.004578147109756164)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)))sensitivity2531
Confusion
Predicted +Predicted -
+2521
-12
Precision
0.9960474308300395
Recall
0.9960474308300395
Confusion?
Predicted +Predicted MaybePredicted -
+25210
-102
Precision?
0.9960629921259843
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
98.0ms296×1valid
83.0ms182×2valid
3.0ms34×0valid
Compiler

Compiled 94 to 31 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-log: 60.0ms (46.8% of total)
ival-mult: 20.0ms (15.6% of total)
ival-div: 15.0ms (11.7% of total)
adjust: 13.0ms (10.1% of total)
ival-sub: 13.0ms (10.1% of total)
ival-add: 6.0ms (4.7% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess13.0ms (0.1%)

Memory
25.0MiB live, 25.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
12524
23024
33224
0910
01610
12410
22510
02510
Stop Event
1×iter limit
1×saturated
1×iter limit
1×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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶10.6%
(*.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
11.1MiB live, 11.1MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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)

localize113.0ms (1.2%)

Memory
-10.5MiB live, 177.1MiB 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))))
accuracy0.03515625
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy57.17655468374033
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
Samples
67.0ms148×1valid
35.0ms91×2valid
1.0ms17×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-log: 33.0ms (49.8% of total)
ival-div: 13.0ms (19.6% of total)
adjust: 10.0ms (15.1% of total)
ival-mult: 4.0ms (6% of total)
ival-sub: 3.0ms (4.5% of total)
ival-add: 3.0ms (4.5% 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
3.9MiB live, 3.9MiB 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))

simplify203.0ms (2.2%)

Memory
-7.9MiB live, 181.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110303
1399292
21325285
35598285
08228264
Stop Event
1×iter limit
1×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))

rewrite143.0ms (1.5%)

Memory
29.2MiB live, 162.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01629
15028
226828
3288728
0919822
Stop Event
1×iter limit
1×node limit
1×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))))
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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)

eval141.0ms (1.5%)

Memory
-7.3MiB live, 136.7MiB allocated
Compiler

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

prune17.0ms (0.2%)

Memory
-0.2MiB live, 43.9MiB 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
▶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))))
99.5%
(*.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)))
98.9%
(*.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)))
▶97.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)))
▶10.6%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.5%
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (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))
99.4%
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
▶98.9%
#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 380 to 264 computations (30.5% saved)

simplify182.0ms (2%)

Memory
-3.8MiB live, 98.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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
(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: 0 (0.0ms)

IterNodesCost
039224
066224
1104224
2199224
3628224
41970224
53444224
64224224
74894224
85591224
96475224
107356224
08033224
Stop Event
1×iter limit
1×node limit
1×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 #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)
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 #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 x #s(literal 1 binary64)) (-.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)))
(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))
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) x)

localize236.0ms (2.5%)

Memory
18.3MiB live, 253.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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))))
accuracy0.03515625
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy57.17655468374033
(log.f64 (/.f64 (+.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))
accuracy0.6742618070797167
#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)
accuracy0.0234375
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
accuracy0.02734375
(*.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)
accuracy0.3889689302709642
#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)
accuracy1.3374166492906048
#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))
accuracy0.015625
(-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x)))
Samples
130.0ms148×1valid
75.0ms91×2valid
5.0ms17×0valid
Compiler

Compiled 217 to 34 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-log: 54.0ms (30.8% of total)
adjust: 48.0ms (27.3% of total)
ival-mult: 26.0ms (14.8% of total)
const: 15.0ms (8.5% of total)
ival-add: 8.0ms (4.6% of total)
ival-log1p: 7.0ms (4% of total)
ival-div: 6.0ms (3.4% of total)
ival-sub: 5.0ms (2.8% of total)
ival-pow: 4.0ms (2.3% 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)

series38.0ms (0.4%)

Memory
-33.0MiB live, 13.7MiB allocated
Counts
22 → 92
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 #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)
(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)
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 (* 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))
(* 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 (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))))
-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)))
(* -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)))))
(* 1/2 (- (* 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)))
(- (* -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)))
(+ (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))))
Calls

3 calls:

TimeVariablePointExpression
30.0ms
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) (* 1/2 (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 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))
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) (* 1/2 (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 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))
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) (* 1/2 (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 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))

simplify220.0ms (2.4%)

Memory
17.5MiB live, 112.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02731200
19171148
229841121
083621071
Stop Event
1×iter limit
1×node limit
Counts
92 → 91
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 (* 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))
(* 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 (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))))
-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)))
(* -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)))))
(* 1/2 (- (* 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)))
(- (* -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)))
(+ (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))))
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 (* 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))
(* 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 (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)))
(* 1/2 (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)))
(* 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)
-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))
(* -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))
(* 1/2 (- (* 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)))
(- (* -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))))
(+ (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))

rewrite245.0ms (2.6%)

Memory
5.0MiB live, 196.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039187
066185
1196185
21192155
09100155
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 660
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 #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)
(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)
Outputs
#s(literal 1/2 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 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (*.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #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) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (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 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (*.f64 (log1p.f64 x) #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 3 binary64)) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (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 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (*.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
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(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/125 binary64)) (+.f64 #s(literal 4/9 binary64) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 4/15 binary64))))) (/.f64 #s(literal 8/27 binary64) (+.f64 #s(literal 4/9 binary64) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 4/15 binary64))))))
(+.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/125 binary64)) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/125 binary64)) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/5 binary64)) #s(literal 2/3 binary64))
(+.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2/5 binary64) x))) x))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/5 binary64)))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval120.0ms (1.3%)

Memory
22.4MiB live, 162.3MiB allocated
Compiler

Compiled 21 206 to 3 050 computations (85.6% saved)

prune33.0ms (0.4%)

Memory
-2.0MiB live, 39.4MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New6847691
Fresh404
Picked415
Done000
Total6928700
Accuracy
100.0%
Counts
700 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 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))
▶97.9%
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
10.5%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))))
✓10.6%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶99.5%
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (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))
▶98.9%
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
Compiler

Compiled 368 to 246 computations (33.2% saved)

simplify123.0ms (1.3%)

Memory
10.4MiB live, 102.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
047331
073318
1137318
2357318
31605318
45643318
08240315
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (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))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
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))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
#s(literal 1/7 binary64)
(*.f64 x x)
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)
(*.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)
#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(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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x)
(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)
(*.f64 x #s(literal 2 binary64))
Outputs
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (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))
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(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)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
#s(literal 1/7 binary64)
(*.f64 x x)
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)
(*.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)
#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 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 1/3 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 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))
(/.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))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #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))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))
(*.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 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x)
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(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)
(*.f64 x #s(literal 2 binary64))

localize321.0ms (3.4%)

Memory
-30.9MiB live, 306.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
accuracy0.13671875
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x)
accuracy0.31640625
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x)
accuracy0.3889689302709642
#s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))
accuracy0.0
(*.f64 x x)
accuracy0.0234375
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
accuracy0.02734375
(*.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)
accuracy0.3889689302709642
#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
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x)
accuracy0.0
(*.f64 x x)
accuracy0.09375
(*.f64 (*.f64 x x) x)
accuracy0.6742618070797167
#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 #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))
accuracy1.3374166492906048
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
accuracy0.02734375
(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))
accuracy0.3290892027617027
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (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))
Samples
140.0ms148×1valid
110.0ms91×2valid
6.0ms17×0valid
Compiler

Compiled 264 to 47 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-mult: 68.0ms (33.4% of total)
ival-log: 33.0ms (16.2% of total)
ival-add: 30.0ms (14.7% of total)
adjust: 27.0ms (13.3% of total)
const: 22.0ms (10.8% of total)
ival-log1p: 7.0ms (3.4% of total)
ival-div: 6.0ms (2.9% of total)
ival-sub: 5.0ms (2.5% of total)
ival-pow: 5.0ms (2.5% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated
Counts
23 → 66
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (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))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(pow.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))
(*.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 (*.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(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 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))))
#s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x)
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(pow x 3)
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 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))))))))
(pow x 2)
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
1/5
(+ 1/5 (* 1/7 (pow x 2)))
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(* 2/3 x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 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))))
(* 2/5 (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)))))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/5 (pow x 3))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 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)))))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(+ (* -1 (/ (- (* -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)))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* x 2) (* (* x x) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (* (* x x) x) 1/3) x) (* x x) (* (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) (+ (* (* (* (+ (* (* x x) 2/5) 2/3) x) x) x) (* x 2)) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (+ (* 1/7 (* x x)) 1/5) (+ (* (* x x) 2/5) 2/3) (* (+ (* (* x x) 2/5) 2/3) x) (* (* (+ (* (* x x) 2/5) 2/3) x) x))
3.0ms
x
@-inf
((* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* x 2) (* (* x x) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (* (* x x) x) 1/3) x) (* x x) (* (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) (+ (* (* (* (+ (* (* x x) 2/5) 2/3) x) x) x) (* x 2)) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (+ (* 1/7 (* x x)) 1/5) (+ (* (* x x) 2/5) 2/3) (* (+ (* (* x x) 2/5) 2/3) x) (* (* (+ (* (* x x) 2/5) 2/3) x) x))
2.0ms
x
@0
((* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* x 2) (* (* x x) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (* (* x x) x) 1/3) x) (* x x) (* (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) (+ (* (* (* (+ (* (* x x) 2/5) 2/3) x) x) x) (* x 2)) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (+ (* 1/7 (* x x)) 1/5) (+ (* (* x x) 2/5) 2/3) (* (+ (* (* x x) 2/5) 2/3) x) (* (* (+ (* (* x x) 2/5) 2/3) x) x))

simplify149.0ms (1.6%)

Memory
-6.5MiB live, 90.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0163748
1576735
21800723
37123723
08139689
Stop Event
1×iter limit
1×node limit
Counts
66 → 65
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(pow x 3)
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 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))))))))
(pow x 2)
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
1/5
(+ 1/5 (* 1/7 (pow x 2)))
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(* 2/3 x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 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))))
(* 2/5 (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)))))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/5 (pow x 3))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 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)))))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(+ (* -1 (/ (- (* -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)))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(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))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(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))
1/5
#s(literal 1/5 binary64)
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* 2/3 (pow x 2))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* -1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))
(+ (* -1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64)))))
(* 1/7 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/7 binary64))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/7 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/7 binary64)) (/.f64 #s(literal -1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/7 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) x) x)) (pow.f64 x #s(literal 7 binary64)))
(* 1/7 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/7 binary64))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/7 binary64)))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/7 binary64)) (/.f64 #s(literal -1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 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 #s(literal 1/2 binary64) (log.f64 #s(literal -1 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))))
(* 1/3 (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)
(* 2/5 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/5 binary64))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2/5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/5 binary64)) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 2/5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/5 binary64))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2/5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/5 binary64)) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/7 (pow x 2))
(*.f64 #s(literal 1/7 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
(* 2/5 (pow x 2))
(*.f64 #s(literal 2/5 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(* 2/5 (pow x 3))
(*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* 1/2 (- (* 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 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (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 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (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 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (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 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/5 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/7 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/7 binary64))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 x)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/5 binary64))))

rewrite200.0ms (2.1%)

Memory
-9.9MiB live, 193.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047293
073280
1278278
21964278
08241270
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 487
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (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))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(pow.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))
(*.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 (*.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(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 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))))
#s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x)
Outputs
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) x)) (*.f64 x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) x)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) x))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (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 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)))) (neg.f64 (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (*.f64 x x)) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64))) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))))
(fma.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 2/5 binary64) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2/5 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 2/5 binary64) (*.f64 x x))))

eval77.0ms (0.8%)

Memory
6.6MiB live, 101.3MiB allocated
Compiler

Compiled 23 834 to 2 563 computations (89.2% saved)

prune27.0ms (0.3%)

Memory
-17.6MiB live, 28.8MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New5793582
Fresh112
Picked325
Done011
Total5837590
Accuracy
100.0%
Counts
590 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
▶97.9%
(*.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))
▶10.5%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))))
✓10.6%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶99.5%
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
✓98.9%
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
Compiler

Compiled 152 to 99 computations (34.9% saved)

simplify108.0ms (1.2%)

Memory
-11.5MiB live, 84.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
cost-diff0
#s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
cost-diff2
(fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))
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
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(log.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))))
cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x))
cost-diff0
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
cost-diff2
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045305
070304
1130299
2320299
31273299
44485299
57784299
08014291
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(*.f64 x x)
x
#s(literal 1/7 binary64)
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(log.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
(*.f64 x x)
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) 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)
x
#s(literal 1/2 binary64)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal 2/5 binary64)
(*.f64 x x)
x
#s(literal 2/3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
Outputs
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (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))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
(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)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 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))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
(*.f64 x x)
x
#s(literal 1/7 binary64)
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(log.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x)
(*.f64 x x)
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.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 (log (/ (+ 1 x) (- 1 x))) (+.f64 x x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(+.f64 x x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 1/2 binary64)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64))))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))
(fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal 2/5 binary64)
(*.f64 x x)
x
#s(literal 2/3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)

localize300.0ms (3.2%)

Memory
13.2MiB live, 245.2MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy0.0234375
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
accuracy0.31640625
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
accuracy0.3889689302709642
#s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64))))
accuracy0.0
(+.f64 x x)
accuracy0.0
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
accuracy1.3374166492906048
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x))
accuracy0.0234375
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.03125
(/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
accuracy0.03515625
(/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
accuracy57.17655468374033
(log.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
accuracy0.0078125
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
accuracy0.02734375
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.2109375
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x))
accuracy0.3290892027617027
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
Samples
144.0ms91×2valid
111.0ms148×1valid
6.0ms17×0valid
Compiler

Compiled 262 to 46 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 207.0ms
ival-log: 57.0ms (27.5% of total)
ival-mult: 47.0ms (22.7% of total)
adjust: 28.0ms (13.5% of total)
const: 25.0ms (12.1% of total)
ival-div: 18.0ms (8.7% of total)
ival-add: 15.0ms (7.2% of total)
ival-sub: 10.0ms (4.8% of total)
ival-log1p: 7.0ms (3.4% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
20 → 88
Calls
Call 1
Inputs
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 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)
(fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x #s(literal 2 binary64))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
1/3
(+ 1/3 (* 1/5 (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)
(* 2/3 x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
1/5
(+ 1/5 (* 1/7 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 x) 1))
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* -1/2 (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))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 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 (* 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)))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 3))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(* 1/2 (- (* 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)))))))
(+ (* -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)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((+ (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) x) x) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* 1/2 (log (/ (- (/ (* x x) (- x 1)) (/ 1 (- x 1))) (- 1 x)))) (log (/ (- (/ (* x x) (- x 1)) (/ 1 (- x 1))) (- 1 x))) (/ (- (/ (* x x) (- x 1)) (/ 1 (- x 1))) (- 1 x)) (- (/ (* x x) (- x 1)) (/ 1 (- x 1))) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (+ x x) (+ (* (* (+ (* 2/5 (* x x)) 2/3) x) (* x x)) (* x 2)) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* (+ (* 2/5 (* x x)) 2/3) x) (+ (* (* x x) 1/7) 1/5) (/ (* x x) (- x 1)) (/ 1 (- x 1)) (+ (* 2/5 (* x x)) 2/3) (* x 2))
3.0ms
x
@-inf
((+ (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) x) x) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* 1/2 (log (/ (- (/ (* x x) (- x 1)) (/ 1 (- x 1))) (- 1 x)))) (log (/ (- (/ (* x x) (- x 1)) (/ 1 (- x 1))) (- 1 x))) (/ (- (/ (* x x) (- x 1)) (/ 1 (- x 1))) (- 1 x)) (- (/ (* x x) (- x 1)) (/ 1 (- x 1))) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (+ x x) (+ (* (* (+ (* 2/5 (* x x)) 2/3) x) (* x x)) (* x 2)) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* (+ (* 2/5 (* x x)) 2/3) x) (+ (* (* x x) 1/7) 1/5) (/ (* x x) (- x 1)) (/ 1 (- x 1)) (+ (* 2/5 (* x x)) 2/3) (* x 2))
2.0ms
x
@0
((+ (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) x) x) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* 1/2 (log (/ (- (/ (* x x) (- x 1)) (/ 1 (- x 1))) (- 1 x)))) (log (/ (- (/ (* x x) (- x 1)) (/ 1 (- x 1))) (- 1 x))) (/ (- (/ (* x x) (- x 1)) (/ 1 (- x 1))) (- 1 x)) (- (/ (* x x) (- x 1)) (/ 1 (- x 1))) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (+ x x) (+ (* (* (+ (* 2/5 (* x x)) 2/3) x) (* x x)) (* x 2)) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* (+ (* 2/5 (* x x)) 2/3) x) (+ (* (* x x) 1/7) 1/5) (/ (* x x) (- x 1)) (/ 1 (- x 1)) (+ (* 2/5 (* x x)) 2/3) (* x 2))

simplify146.0ms (1.6%)

Memory
28.8MiB live, 121.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02191009
1755978
22426958
08733918
Stop Event
1×iter limit
1×node limit
Counts
88 → 87
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
1/3
(+ 1/3 (* 1/5 (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)
(* 2/3 x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
1/5
(+ 1/5 (* 1/7 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 x) 1))
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* -1/2 (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))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 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 (* 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)))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 3))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(* 1/2 (- (* 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)))))))
(+ (* -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)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(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))
(* 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))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
1/5
#s(literal 1/5 binary64)
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 x) 1))
(*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(- (* x (- (* -1 x) 1)) 1)
(-.f64 (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(* 1/7 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/7 binary64))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/7 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/7 binary64)) (/.f64 #s(literal -1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) x) x)) (pow.f64 x #s(literal 7 binary64)))
(* -1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))
(+ (* -1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64)))))
(* 1/7 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/7 binary64))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/7 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/7 binary64)) (/.f64 #s(literal -1/5 binary64) (*.f64 x x))))
(* 1/7 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/7 binary64))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/7 binary64)))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/7 binary64)) (/.f64 #s(literal -1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 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 #s(literal 1/2 binary64) (log.f64 #s(literal -1 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 (+ 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 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* 2/5 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/5 binary64))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2/5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/5 binary64)) (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 2/5 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/5 binary64))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* 1/7 (pow x 2))
(*.f64 #s(literal 1/7 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x #s(literal 1 binary64))
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) x)) x #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) 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 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/5 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/7 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/7 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 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (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 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (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 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (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 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 x)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 1 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/5 binary64))))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (neg.f64 x))

rewrite154.0ms (1.7%)

Memory
4.1MiB live, 137.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045276
070259
1286228
22265228
08351216
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 804
Calls
Call 1
Inputs
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 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)
(fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x #s(literal 2 binary64))
Outputs
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 x (*.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))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.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))))
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(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 512 binary64))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64))
(*.f64 #s(literal 8 binary64) (fabs.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 4 binary64))
(*.f64 x (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 5 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 9/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 6 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 0 binary64))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))) #s(literal 0 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x))) (fabs.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (fabs.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))) (fabs.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64)))) (fabs.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))))
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(fma.f64 x #s(literal 1 binary64) x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 2 binary64) x))) (sinh.f64 (log.f64 (*.f64 #s(literal 2 binary64) x))))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 x x)

eval147.0ms (1.6%)

Memory
-4.0MiB live, 143.6MiB allocated
Compiler

Compiled 26 929 to 3 823 computations (85.8% saved)

prune18.0ms (0.2%)

Memory
-1.1MiB live, 43.9MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New7713774
Fresh000
Picked224
Done123
Total7747781
Accuracy
100.0%
Counts
781 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.9%
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
5.9%
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/2 binary64))
✓10.6%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
10.5%
(log.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓99.5%
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
99.4%
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/7) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
✓98.9%
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) x))
Compiler

Compiled 670 to 223 computations (66.7% saved)

regimes26.0ms (0.3%)

Memory
-26.1MiB live, 27.6MiB allocated
Counts
23 → 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))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (*.f64 x x) #s(literal 4 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)))
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/7) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x 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(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))))
(*.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))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (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))
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (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))
(*.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 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.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)) (log1p.f64 (*.f64 (neg.f64 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))))
Calls

4 calls:

8.0ms
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
6.0ms
x
5.0ms
(*.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))))
5.0ms
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
100.0%1x
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%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) x) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 28 to 21 computations (25% saved)

regimes22.0ms (0.2%)

Memory
24.4MiB live, 24.4MiB 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))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (*.f64 x x) #s(literal 4 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)))
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/7) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x 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(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))))
(*.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))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (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))
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (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))
(*.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 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))))
Outputs
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
Calls

4 calls:

6.0ms
x
5.0ms
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
5.0ms
(*.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))))
5.0ms
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.5%1x
99.5%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))))
99.5%1(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.5%1(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 28 to 21 computations (25% saved)

regimes13.0ms (0.1%)

Memory
-31.6MiB live, 15.1MiB allocated
Counts
9 → 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))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (*.f64 x x) #s(literal 4 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)))
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/7) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x 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(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (*.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
Outputs
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/7) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
Calls

4 calls:

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))))
3.0ms
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%1x
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%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) x) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 28 to 21 computations (25% saved)

regimes8.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
5 → 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))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (*.f64 x x) #s(literal 4 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
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
98.9%1x
98.9%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))))
98.9%1(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
98.9%1(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 28 to 21 computations (25% saved)

regimes6.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Accuracy

Total -58.9b remaining (-4403.9%)

Threshold costs -58.9b (-4403.9%)

Counts
3 → 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))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (*.f64 x x) #s(literal 4 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
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
(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
97.9%1x
97.9%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))))
97.9%1(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
97.9%1(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 28 to 21 computations (25% saved)

simplify79.0ms (0.8%)

Memory
-11.0MiB live, 35.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 22 (0.0ms)

IterNodesCost
049118
183118
2130118
3199118
4276118
5301118
6330118
7348118
8374118
9411118
10451118
11492118
12554118
13593118
14623118
15672118
16725118
17777118
18817118
19859118
20927118
211036118
221189114
231267114
242012114
255554114
267736114
Stop Event
1×node 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))))
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/7) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x 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))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
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 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
#s(approx (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/7) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x 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))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))

soundness827.0ms (8.8%)

Memory
37.9MiB live, 406.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039187
066185
1196185
21192155
09100155
02191009
1755978
22426958
08733918
047293
073280
1278278
21964278
08241270
0929
01629
15028
226828
3288728
0919822
0110303
1399292
21325285
35598285
08228264
02731200
19171148
229841121
083621071
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 338 to 188 computations (44.4% saved)

preprocess53.0ms (0.6%)

Memory
-5.2MiB live, 40.7MiB allocated
Compiler

Compiled 276 to 124 computations (55.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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