Hyperbolic arcsine

Time bar (total: 6.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze81.0ms (1.2%)

Memory
17.2MiB live, 110.8MiB 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
25%25%75%0%0%0%0%3
50%50%50%0%0%0%0%4
62.5%62.5%37.5%0%0%0%0%5
68.8%68.7%31.2%0%0%0%0%6
71.9%71.8%28.1%0%0%0%0%7
73.4%73.4%26.5%0%0%0%0%8
74.2%74.2%25.8%0%0%0%0%9
74.6%74.6%25.4%0%0%0%0%10
74.8%74.8%25.2%0%0%0%0%11
74.9%74.9%25.1%0%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample2.3s (35.5%)

Memory
56.6MiB live, 2 845.2MiB allocated
Samples
965.0ms1 515×2valid
870.0ms4 488×1valid
152.0ms2 253×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-log: 821.0ms (48.6% of total)
ival-hypot: 548.0ms (32.4% of total)
adjust: 166.0ms (9.8% of total)
ival-add: 138.0ms (8.2% of total)
ival-true: 7.0ms (0.4% of total)
exact: 5.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain264.0ms (4%)

Memory
-18.2MiB live, 225.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1380-0-(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
600-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
580-0-(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))sensitivity1380
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue600
↳(*.f64 x x)overflow60
↳(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow60
+.f64(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))cancellation580
Confusion
Predicted +Predicted -
+2280
-028
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+22800
-0028
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
028
1200
228
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
90.0ms112×2valid
49.0ms274×1valid
9.0ms126×0valid
Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-log: 43.0ms (41.2% of total)
ival-hypot: 38.0ms (36.4% of total)
adjust: 9.0ms (8.6% of total)
ival-add: 8.0ms (7.7% of total)
ival-mult: 5.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess14.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
12221
24721
35821
47321
079
0129
1209
2399
3669
4819
0818
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶16.0%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify26.0ms (0.4%)

Memory
-39.5MiB live, 3.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
cost-diff1
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01233
12033
23933
36633
48133
08129
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

localize102.0ms (1.6%)

Memory
38.9MiB live, 82.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy13.466484271343564
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy13.986771343966128
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy32.05973614074339
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Samples
66.0ms56×2valid
24.0ms137×1valid
5.0ms63×0valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-log: 62.0ms (73% of total)
ival-hypot: 11.0ms (12.9% of total)
adjust: 5.0ms (5.9% of total)
ival-add: 4.0ms (4.7% of total)
ival-mult: 2.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
5 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x x)
Outputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x))
1.0ms
x
@0
((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x))
1.0ms
x
@-inf
((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x))

simplify301.0ms (4.6%)

Memory
-4.0MiB live, 336.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125448
1384440
21149432
34065428
08153409
Stop Event
1×iter limit
1×node limit
Counts
37 → 36
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 1/2 binary64))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f64 x (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(*.f64 x (-.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

rewrite191.0ms (2.9%)

Memory
-18.5MiB live, 316.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0731
01218
15118
236016
3442116
0816015
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 372
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x x)
Outputs
(*.f64 (pow.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))))
(*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (pow.f64 (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (pow.f64 (*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))))
(*.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (neg.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (cosh.f64 (asinh.f64 x)) (cosh.f64 (asinh.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) #s(literal 4 binary64))
(pow.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (cosh.f64 (asinh.f64 x))) (sinh.f64 (acosh.f64 x)))
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) (cosh.f64 (asinh.f64 x))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (cosh.f64 (asinh.f64 x)) (sinh.f64 (acosh.f64 (*.f64 x x)))) (sinh.f64 (acosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 (asinh.f64 x)) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (cosh.f64 (asinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sinh.f64 (acosh.f64 x)) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))) (*.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) (sinh.f64 (acosh.f64 (*.f64 x x)))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sinh.f64 (acosh.f64 x))))
(/.f64 (pow.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) (sinh.f64 (acosh.f64 (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(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 (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.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))))

eval82.0ms (1.3%)

Memory
14.9MiB live, 107.2MiB allocated
Compiler

Compiled 8 645 to 1 829 computations (78.8% saved)

prune25.0ms (0.4%)

Memory
-22.9MiB live, 22.7MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4034407
Fresh000
Picked101
Done000
Total4044408
Accuracy
100.0%
Counts
408 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.2%
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))
▶23.1%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶23.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶99.9%
(asinh.f64 x)
Compiler

Compiled 45 to 34 computations (24.4% saved)

simplify115.0ms (1.7%)

Memory
33.6MiB live, 127.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff1
(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))))
cost-diff1
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))
cost-diff7
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
cost-diff0
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
cost-diff0
(asinh.f64 x)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024124
039117
159117
2104101
3242100
4490100
52238100
65678100
08746100
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(asinh.f64 x)
x
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))
(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 x)
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))
(-.f64 x (cosh.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 x))
(asinh.f64 x)
Outputs
(asinh.f64 x)
x
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))
(neg.f64 (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))
(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))))
#s(literal 0 binary64)
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
#s(literal 1 binary64)
(neg.f64 x)
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))
(-.f64 x (cosh.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 x))
(asinh.f64 x)

localize321.0ms (4.9%)

Memory
-32.6MiB live, 345.5MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy2.715090873215335
(cosh.f64 (asinh.f64 x))
accuracy13.739281154161679
(-.f64 x (cosh.f64 (asinh.f64 x)))
accuracy27.829850061531904
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
accuracy32.085148936403286
(log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
accuracy0.0
(/.f64 #s(literal -1/2 binary64) x)
accuracy32.05973614074339
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
accuracy48.261945056405956
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy32.05973614074339
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
accuracy47.941631927690544
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
accuracy0.08984375
(asinh.f64 x)
Samples
213.0ms200×1valid
78.0ms56×2valid
Compiler

Compiled 121 to 23 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-log: 71.0ms (33.6% of total)
adjust: 35.0ms (16.5% of total)
ival-asinh: 33.0ms (15.6% of total)
ival-add: 22.0ms (10.4% of total)
ival-cosh: 15.0ms (7.1% of total)
ival-mult: 13.0ms (6.1% of total)
ival-hypot: 11.0ms (5.2% of total)
ival-sub: 5.0ms (2.4% of total)
ival-neg: 3.0ms (1.4% of total)
ival-div: 2.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series161.0ms (2.5%)

Memory
55.1MiB live, 140.1MiB allocated
Counts
14 → 66
Calls
Call 1
Inputs
(asinh.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))
(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 x)
(log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(-.f64 x (cosh.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 x))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(/ -1/2 x)
0
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
-1
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 (+ (log -1) (* -1 (log (/ 1 x)))))
(- (* 1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (log -1) (* -1 (log (/ 1 x)))))
(- (* 1/8 (/ (pow (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))
(- (* -1/6 (/ (+ (* -3 (- (* 1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))) (* -1/4 (pow (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3))) (pow x 3))) (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* -1/8 (/ (pow (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2)))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* -1/8 (/ (pow (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (* -1/8 (/ (pow (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (* 1/6 (/ (+ (* -3 (- (* 1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))) (* -1/4 (pow (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3))) (pow x 3)))))))
(* x (+ 1 (* -1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))
(* x (- (+ 1 (* -1/2 (/ (- (* 1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3)))) (* 1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))
(* x (- (+ 1 (* -1/2 (/ (+ (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 5)))) (+ (* 1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (* 1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))))))
(* 1/2 (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))
(+ (* 1/2 (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (* 1/2 (/ (- (* 1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))))
(+ (* 1/2 (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4))) (* 1/2 (/ (- (* 1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2)))))
(+ (* 1/2 (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4))) (+ (* 1/2 (/ (- (* 1/32 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 5/64 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 6))) (* 1/2 (/ (- (* 1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(log (/ -1 x))
(- (* 1/2 (/ (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) x)) (* -1 (log (/ -1 x))))
(- (* -1 (/ (- (* -1/8 (/ (pow (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) 2) x)) (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))))) x)) (* -1 (log (/ -1 x))))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* 1/4 (pow (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) 3)) (* 3 (+ (* -1/4 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))))) x)) (* -1/8 (pow (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) 2))) x)) (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))))) x)) (* -1 (log (/ -1 x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1/2 (/ (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/8 (/ (pow (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) 2) x)) (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* 1/4 (pow (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) 3)) (* 3 (+ (* -1/4 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))))) x)) (* -1/8 (pow (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) 2))) x)) (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))))) x)))
(* -1 (* x (- (* 1/2 (/ (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1/2 (/ (+ (* -1/4 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 2))) (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1/2 (/ (- (* 1/8 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 4))) (+ (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* -1/4 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 2))))) x)) 1)))
(* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))))
(+ (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* -1/4 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 2))))
(+ (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* -1/4 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 2))) (* 1/2 (/ (- (* 1/8 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 4)))))
(+ (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* -1/4 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 2))) (+ (* 1/2 (/ (+ (* -5/64 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 6))) (* 1/2 (/ (- (* 1/8 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 4))))))
Calls

3 calls:

TimeVariablePointExpression
150.0ms
x
@0
((asinh x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (+ (* (neg x) x) (+ (* x x) 1)) (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- x (cosh (asinh x)))))) (log (+ (* (neg x) x) (+ (* x x) 1))) (neg x) (log (neg (- x (cosh (asinh x))))) (- x (cosh (asinh x))) (cosh (asinh x)))
5.0ms
x
@-inf
((asinh x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (+ (* (neg x) x) (+ (* x x) 1)) (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- x (cosh (asinh x)))))) (log (+ (* (neg x) x) (+ (* x x) 1))) (neg x) (log (neg (- x (cosh (asinh x))))) (- x (cosh (asinh x))) (cosh (asinh x)))
5.0ms
x
@inf
((asinh x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (+ (* (neg x) x) (+ (* x x) 1)) (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- x (cosh (asinh x)))))) (log (+ (* (neg x) x) (+ (* x x) 1))) (neg x) (log (neg (- x (cosh (asinh x))))) (- x (cosh (asinh x))) (cosh (asinh x)))

simplify233.0ms (3.6%)

Memory
-9.0MiB live, 274.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03012010
19681483
235131334
093161252
Stop Event
1×iter limit
1×node limit
Counts
66 → 65
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(/ -1/2 x)
0
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
-1
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 (+ (log -1) (* -1 (log (/ 1 x)))))
(- (* 1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (log -1) (* -1 (log (/ 1 x)))))
(- (* 1/8 (/ (pow (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))
(- (* -1/6 (/ (+ (* -3 (- (* 1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))) (* -1/4 (pow (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3))) (pow x 3))) (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* -1/8 (/ (pow (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2)))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* -1/8 (/ (pow (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (* -1/8 (/ (pow (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (* 1/6 (/ (+ (* -3 (- (* 1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))) (* -1/4 (pow (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3))) (pow x 3)))))))
(* x (+ 1 (* -1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))
(* x (- (+ 1 (* -1/2 (/ (- (* 1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3)))) (* 1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))
(* x (- (+ 1 (* -1/2 (/ (+ (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 5)))) (+ (* 1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (* 1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))))))
(* 1/2 (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))
(+ (* 1/2 (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (* 1/2 (/ (- (* 1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))))
(+ (* 1/2 (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4))) (* 1/2 (/ (- (* 1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2)))))
(+ (* 1/2 (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4))) (+ (* 1/2 (/ (- (* 1/32 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 5/64 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 6))) (* 1/2 (/ (- (* 1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(log (/ -1 x))
(- (* 1/2 (/ (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) x)) (* -1 (log (/ -1 x))))
(- (* -1 (/ (- (* -1/8 (/ (pow (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) 2) x)) (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))))) x)) (* -1 (log (/ -1 x))))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* 1/4 (pow (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) 3)) (* 3 (+ (* -1/4 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))))) x)) (* -1/8 (pow (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) 2))) x)) (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))))) x)) (* -1 (log (/ -1 x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1/2 (/ (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/8 (/ (pow (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) 2) x)) (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* 1/4 (pow (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) 3)) (* 3 (+ (* -1/4 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))))) x)) (* -1/8 (pow (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) 2))) x)) (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))))) x)))
(* -1 (* x (- (* 1/2 (/ (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1/2 (/ (+ (* -1/4 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 2))) (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1/2 (/ (- (* 1/8 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 4))) (+ (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* -1/4 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 2))))) x)) 1)))
(* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x)))))))
(+ (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* -1/4 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 2))))
(+ (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* -1/4 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 2))) (* 1/2 (/ (- (* 1/8 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 4)))))
(+ (* 1/2 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* -1/4 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 2))) (+ (* 1/2 (/ (+ (* -5/64 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 6))) (* 1/2 (/ (- (* 1/8 (exp (+ (log 1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))) (pow x 4))))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
0
#s(literal 0 binary64)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/6 (pow x 2)) 1))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/40 binary64)) #s(literal 1 binary64))) x)
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* -1/2 x))) 1)
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x)
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* -1 (+ (log -1) (* -1 (log (/ 1 x)))))
(neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)))
(- (* 1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (log -1) (* -1 (log (/ 1 x)))))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64) x) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)))
(- (* 1/8 (/ (pow (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))
(-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64) x) x)))
(- (* -1/6 (/ (+ (* -3 (- (* 1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))) (* -1/4 (pow (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3))) (pow x 3))) (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* -1/8 (/ (pow (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2)))))))
(-.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x)) #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)) (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) x) (-.f64 (log.f64 x) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64) x) x))) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1/2 (/ (+ (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64) x) x))
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rewrite317.0ms (4.8%)

Memory
-60.4MiB live, 259.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024105
03996
112488
285985
0844484
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 279
Calls
Call 1
Inputs
(asinh.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))
(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 x)
(log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(-.f64 x (cosh.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 x))
Outputs
(asinh.f64 x)
(/.f64 (-.f64 (*.f64 (+.f64 (asinh.f64 x) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) (+.f64 (asinh.f64 x) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))) (*.f64 (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))) (+.f64 (+.f64 (asinh.f64 x) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))) (*.f64 x x))) (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))) (*.f64 x x))))) (+.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (asinh.f64 x) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))) #s(literal 3 binary64))) (fma.f64 (+.f64 (asinh.f64 x) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) (+.f64 (asinh.f64 x) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) (fma.f64 (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))) (*.f64 (+.f64 (asinh.f64 x) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))) (*.f64 x x))) (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))) (*.f64 x x))) (*.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))) (*.f64 x x)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))
(-.f64 (+.f64 (asinh.f64 x) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (cosh.f64 (asinh.f64 x)) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))) (*.f64 x x))))
(-.f64 (log1p.f64 (*.f64 x (+.f64 (neg.f64 x) x))) (neg.f64 (asinh.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (asinh.f64 x))
(+.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64))))) (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (asinh.f64 x)) (*.f64 x x))))
(log.f64 (exp.f64 (asinh.f64 x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 (asinh.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 (neg.f64 (asinh.f64 x))) #s(literal 2 binary64)) (fma.f64 x (+.f64 (neg.f64 x) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 x (+.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (asinh.f64 x))) (*.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))) (exp.f64 (asinh.f64 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (exp.f64 (asinh.f64 x))) (*.f64 (neg.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))) (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))) (*.f64 x x))) (exp.f64 (asinh.f64 x))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 (asinh.f64 x))) (*.f64 (-.f64 x (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64))) (*.f64 (-.f64 x (cosh.f64 (asinh.f64 x))) (exp.f64 (asinh.f64 x))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (asinh.f64 x))) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (cosh.f64 (asinh.f64 x)) x))) #s(literal 1 binary64))) (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (asinh.f64 x))) (*.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))) (*.f64 x x)) #s(literal 1 binary64))) (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 x (+.f64 (neg.f64 x) x) #s(literal 1 binary64)) (exp.f64 (asinh.f64 x))) (*.f64 (exp.f64 (neg.f64 (asinh.f64 x))) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (asinh.f64 x))) (exp.f64 (asinh.f64 x))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (neg.f64 x) x))) (neg.f64 (-.f64 x x)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 x (+.f64 (neg.f64 x) x))))
(/.f64 (*.f64 x (+.f64 (neg.f64 x) x)) (-.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 x #s(literal 1 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(-.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 x (+.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 x (+.f64 (neg.f64 x) x)))))
(+.f64 x x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) x)
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (+.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (neg.f64 (neg.f64 x))) (-.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (neg.f64 (neg.f64 x))))
(*.f64 (+.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (neg.f64 x)) (-.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) x) (-.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) x))
(*.f64 (+.f64 (cosh.f64 (asinh.f64 x)) (neg.f64 (neg.f64 x))) (-.f64 (cosh.f64 (asinh.f64 x)) (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 (asinh.f64 x))) (exp.f64 (neg.f64 (neg.f64 (asinh.f64 x)))))
(*.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (+.f64 (neg.f64 x) x)) #s(literal 2 binary64))) (fma.f64 x (+.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (+.f64 (neg.f64 x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (+.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (neg.f64 x) x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 (neg.f64 x) x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x (+.f64 (neg.f64 x) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (neg.f64 x) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 (neg.f64 x) x)) #s(literal 1 binary64))))))
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(fma.f64 (/.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64))))) (/.f64 (neg.f64 x) (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (asinh.f64 x)) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) (exp.f64 (asinh.f64 x))))
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(fma.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (asinh.f64 x)) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) (exp.f64 (asinh.f64 x))))
(fma.f64 (/.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64))))) (/.f64 x (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (asinh.f64 x)) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) (exp.f64 (asinh.f64 x))))
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (neg.f64 (neg.f64 x)) (exp.f64 (asinh.f64 x))) (/.f64 (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) (exp.f64 (asinh.f64 x))))
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (exp.f64 (asinh.f64 x))) (/.f64 (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) (exp.f64 (asinh.f64 x))))
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (neg.f64 x) (exp.f64 (asinh.f64 x))) (/.f64 (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) (exp.f64 (asinh.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (*.f64 x x) (exp.f64 (asinh.f64 x))) (/.f64 (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) (exp.f64 (asinh.f64 x))))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (neg.f64 (asinh.f64 x))) (/.f64 (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) (exp.f64 (asinh.f64 x))))
(fma.f64 (/.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 x (exp.f64 (asinh.f64 x))) (/.f64 (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) (exp.f64 (asinh.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (exp.f64 (asinh.f64 x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 (asinh.f64 x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (asinh.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (asinh.f64 x)) (*.f64 x x))))
(-.f64 x (cosh.f64 (asinh.f64 x)))
(+.f64 (/.f64 (*.f64 x x) (exp.f64 (asinh.f64 x))) (/.f64 (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) (exp.f64 (asinh.f64 x))))
(*.f64 (neg.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))))
(*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (sqrt.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (pow.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 (asinh.f64 x))) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (asinh.f64 x))) #s(literal 2 binary64)))) (-.f64 (/.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (asinh.f64 x))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (asinh.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 (asinh.f64 x))) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (asinh.f64 x))) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (asinh.f64 x))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (sinh.f64 (acosh.f64 (*.f64 x x)))) (neg.f64 (sinh.f64 (acosh.f64 x))))
(/.f64 (neg.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (fma.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 (asinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (sinh.f64 (acosh.f64 (*.f64 x x)))) (fabs.f64 (sinh.f64 (acosh.f64 x))))
(/.f64 (fabs.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (cosh.f64 (asinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (sinh.f64 (acosh.f64 x)))
(/.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 (neg.f64 (asinh.f64 x)))))
(cosh.f64 (neg.f64 (asinh.f64 (neg.f64 x))))
(cosh.f64 (asinh.f64 (neg.f64 (neg.f64 x))))
(cosh.f64 (neg.f64 (neg.f64 (asinh.f64 x))))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (*.f64 (cosh.f64 (+.f64 (asinh.f64 x) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))) (cosh.f64 (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))) (*.f64 (sinh.f64 (+.f64 (asinh.f64 x) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))) (sinh.f64 (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))))
(-.f64 (*.f64 (cosh.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (cosh.f64 (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))) (*.f64 x x))))) (*.f64 (sinh.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sinh.f64 (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x))) (*.f64 x x))))))
(fabs.f64 (neg.f64 (cosh.f64 (asinh.f64 x))))
(fabs.f64 (cosh.f64 (asinh.f64 x)))
(exp.f64 (log.f64 (cosh.f64 (asinh.f64 x))))
(+.f64 (cosh.f64 (log.f64 (cosh.f64 (asinh.f64 x)))) (sinh.f64 (log.f64 (cosh.f64 (asinh.f64 x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (asinh.f64 x))) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 (asinh.f64 x))) #s(literal 2 binary64)) (/.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (asinh.f64 x))) #s(literal 2 binary64)))

eval54.0ms (0.8%)

Memory
11.1MiB live, 106.1MiB allocated
Compiler

Compiled 13 746 to 1 939 computations (85.9% saved)

prune6.0ms (0.1%)

Memory
22.3MiB live, 22.3MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3672369
Fresh000
Picked224
Done000
Total3694373
Accuracy
100.0%
Counts
373 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶5.3%
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
✓23.1%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶23.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓99.9%
(asinh.f64 x)
Compiler

Compiled 47 to 32 computations (31.9% saved)

simplify6.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff1
(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))))
cost-diff1
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
cost-diff7
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(+.f64 x x)
cost-diff0
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
018100
03093
14493
28077
318076
420876
521476
621776
021776
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(+.f64 x x)
x
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 x)
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
Outputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(neg.f64 (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))))
#s(literal 0 binary64)
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
#s(literal 1 binary64)
(neg.f64 x)
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))

localize216.0ms (3.3%)

Memory
0.4MiB live, 280.3MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy13.739281154161679
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy13.986771343966128
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy27.829850061531904
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
accuracy32.085148936403286
(log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
accuracy0.0
(+.f64 x x)
accuracy32.05973614074339
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
accuracy47.941631927690544
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
Samples
130.0ms200×1valid
72.0ms56×2valid
Compiler

Compiled 108 to 18 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-mult: 68.0ms (36.9% of total)
ival-log: 67.0ms (36.4% of total)
ival-hypot: 18.0ms (9.8% of total)
adjust: 14.0ms (7.6% of total)
ival-add: 9.0ms (4.9% of total)
ival-sub: 5.0ms (2.7% of total)
ival-neg: 3.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series76.0ms (1.2%)

Memory
7.4MiB live, 102.1MiB allocated
Counts
10 → 63
Calls
Call 1
Inputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(+.f64 x x)
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 x)
(log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
0
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
-1
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(+ (log 1/2) (log (/ 1 x)))
(- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
Calls

3 calls:

TimeVariablePointExpression
73.0ms
x
@0
((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ x x) (+ (* (neg x) x) (+ (* x x) 1)) (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- x (sqrt (+ (* x x) 1)))))) (log (+ (* (neg x) x) (+ (* x x) 1))) (neg x) (log (neg (- x (sqrt (+ (* x x) 1))))) (sqrt (+ (* x x) 1)) (- x (sqrt (+ (* x x) 1))))
1.0ms
x
@inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ x x) (+ (* (neg x) x) (+ (* x x) 1)) (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- x (sqrt (+ (* x x) 1)))))) (log (+ (* (neg x) x) (+ (* x x) 1))) (neg x) (log (neg (- x (sqrt (+ (* x x) 1))))) (sqrt (+ (* x x) 1)) (- x (sqrt (+ (* x x) 1))))
1.0ms
x
@-inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ x x) (+ (* (neg x) x) (+ (* x x) 1)) (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- x (sqrt (+ (* x x) 1)))))) (log (+ (* (neg x) x) (+ (* x x) 1))) (neg x) (log (neg (- x (sqrt (+ (* x x) 1))))) (sqrt (+ (* x x) 1)) (- x (sqrt (+ (* x x) 1))))

simplify213.0ms (3.2%)

Memory
-26.2MiB live, 166.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0185851
1553831
21662819
35609819
08232796
Stop Event
1×iter limit
1×node limit
Counts
63 → 62
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
0
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
-1
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(+ (log 1/2) (log (/ 1 x)))
(- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
0
#s(literal 0 binary64)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/6 (pow x 2)) 1))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/40 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* -1/2 x))) 1)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (-.f64 x #s(literal 1 binary64)))
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* -1 (+ (log 1/2) (log (/ 1 x))))
(fma.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64) (log.f64 x))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(-.f64 (-.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 1/2 binary64)))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x)) (log.f64 #s(literal 1/2 binary64))))
(- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(+ (log 1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))))) x)
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(-.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(*.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))

rewrite49.0ms (0.8%)

Memory
22.2MiB live, 66.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01885
03072
111050
093250
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
10 → 42
Calls
Call 1
Inputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(+.f64 x x)
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 x)
(log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Outputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #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)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 x x)
#s(literal 1 binary64)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))) (/.f64 (pow.f64 (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) #s(literal 3 binary64)) (+.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))
(log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))
#s(literal 0 binary64)
(neg.f64 x)
(log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) x) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (cosh.f64 (asinh.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (cosh.f64 (asinh.f64 x)) x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (+.f64 (cosh.f64 (asinh.f64 x)) x)))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (cosh.f64 (asinh.f64 x)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (cosh.f64 (asinh.f64 x)) x (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (cosh.f64 (asinh.f64 x)) x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (cosh.f64 (asinh.f64 x)) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (cosh.f64 (asinh.f64 x)) x (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (cosh.f64 (asinh.f64 x)) x (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 x (cosh.f64 (asinh.f64 x)))

eval17.0ms (0.3%)

Memory
-18.3MiB live, 25.7MiB allocated
Compiler

Compiled 2 824 to 517 computations (81.7% saved)

prune2.0ms (0%)

Memory
10.1MiB live, 10.1MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1031104
Fresh000
Picked112
Done022
Total1044108
Accuracy
100.0%
Counts
108 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶17.0%
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
✓23.1%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓23.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓99.9%
(asinh.f64 x)
Compiler

Compiled 51 to 38 computations (25.5% saved)

simplify5.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
cost-diff0
(log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
cost-diff0
#s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64))
cost-diff0
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01670
02270
13268
26652
316552
418652
518752
018752
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
#s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64))
#s(literal 0 binary64)
(log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
#s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64))
#s(literal 0 binary64)
(log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)

localize154.0ms (2.3%)

Memory
3.7MiB live, 151.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64))
accuracy13.739281154161679
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy13.986771343966128
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy32.085148936403286
(log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
Samples
143.0ms256×1valid
Compiler

Compiled 76 to 16 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-log: 81.0ms (62.3% of total)
ival-hypot: 18.0ms (13.8% of total)
adjust: 8.0ms (6.2% of total)
ival-add: 8.0ms (6.2% of total)
ival-sub: 5.0ms (3.8% of total)
ival-mult: 5.0ms (3.8% of total)
ival-neg: 3.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.5%)

Memory
-4.1MiB live, 41.3MiB allocated
Counts
6 → 58
Calls
Call 1
Inputs
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
#s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64))
(log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
0
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
-1
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(* -1 (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(+ (log 1/2) (log (/ 1 x)))
(- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
Calls

3 calls:

TimeVariablePointExpression
29.0ms
x
@0
((- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- x (sqrt (+ (* x x) 1)))))) (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- x (sqrt (+ (* x x) 1))))) (neg (- x (sqrt (+ (* x x) 1)))) (sqrt (+ (* x x) 1)) (- x (sqrt (+ (* x x) 1))))
1.0ms
x
@inf
((- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- x (sqrt (+ (* x x) 1)))))) (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- x (sqrt (+ (* x x) 1))))) (neg (- x (sqrt (+ (* x x) 1)))) (sqrt (+ (* x x) 1)) (- x (sqrt (+ (* x x) 1))))
0.0ms
x
@-inf
((- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- x (sqrt (+ (* x x) 1)))))) (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- x (sqrt (+ (* x x) 1))))) (neg (- x (sqrt (+ (* x x) 1)))) (sqrt (+ (* x x) 1)) (- x (sqrt (+ (* x x) 1))))

simplify211.0ms (3.2%)

Memory
13.5MiB live, 153.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174739
1499730
21447721
34809714
08149693
Stop Event
1×iter limit
1×node limit
Counts
58 → 57
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
0
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
-1
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(* -1 (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(+ (log 1/2) (log (/ 1 x)))
(- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
0
#s(literal 0 binary64)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/6 (pow x 2)) 1))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/40 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* -1/2 x))) 1)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (-.f64 x #s(literal 1 binary64)))
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(fma.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64) (log.f64 x))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x)) (log.f64 #s(literal 1/2 binary64))))
(- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x)) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) x)
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(-.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(*.f64 (neg.f64 x) (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)) x)
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(*.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))

rewrite173.0ms (2.6%)

Memory
-0.4MiB live, 142.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01663
02253
18851
269325
0962725
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 170
Calls
Call 1
Inputs
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
#s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64))
(log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) #s(literal 2 binary64)) (+.f64 (asinh.f64 (neg.f64 x)) #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)))) (/.f64 (pow.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) #s(literal 2 binary64)) (+.f64 (asinh.f64 (neg.f64 x)) #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64))))) (*.f64 (/.f64 (pow.f64 (asinh.f64 x) #s(literal 2 binary64)) (+.f64 (asinh.f64 (neg.f64 x)) #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)))) (/.f64 (pow.f64 (asinh.f64 x) #s(literal 2 binary64)) (+.f64 (asinh.f64 (neg.f64 x)) #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)))))) (+.f64 (/.f64 (pow.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) #s(literal 2 binary64)) (+.f64 (asinh.f64 (neg.f64 x)) #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)))) (/.f64 (pow.f64 (asinh.f64 x) #s(literal 2 binary64)) (+.f64 (asinh.f64 (neg.f64 x)) #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64))))))
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(fma.f64 #s(literal 1 binary64) x (neg.f64 (cosh.f64 (asinh.f64 x))))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (cosh.f64 (asinh.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (exp.f64 (asinh.f64 x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 (asinh.f64 x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (cosh.f64 (asinh.f64 x)) x #s(literal 1 binary64))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 (asinh.f64 x)) x #s(literal 1 binary64))))
(-.f64 x (cosh.f64 (asinh.f64 x)))
(+.f64 (/.f64 (*.f64 x x) (exp.f64 (asinh.f64 x))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (exp.f64 (asinh.f64 x))))
(+.f64 x (neg.f64 (cosh.f64 (asinh.f64 x))))

eval33.0ms (0.5%)

Memory
-38.3MiB live, 52.1MiB allocated
Compiler

Compiled 8 919 to 1 162 computations (87% saved)

prune6.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2233226
Fresh000
Picked011
Done123
Total2246230
Accuracy
100.0%
Counts
230 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓17.0%
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
23.1%
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 #s(approx (neg (- x (sqrt (+ (* x x) 1)))) (*.f64 #s(literal -2 binary64) x))))
54.6%
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) #s(approx (log (neg (- x (sqrt (+ (* x x) 1))))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)))
56.5%
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) #s(approx (log (neg (- x (sqrt (+ (* x x) 1))))) (neg.f64 x)))
✓23.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓99.9%
(asinh.f64 x)
Compiler

Compiled 325 to 146 computations (55.1% saved)

regimes9.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) #s(approx (log (neg (- x (sqrt (+ (* x x) 1))))) (neg.f64 x)))
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) #s(approx (log (neg (- x (sqrt (+ (* x x) 1))))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)))
(asinh.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 #s(approx (neg (- x (sqrt (+ (* x x) 1)))) (*.f64 #s(literal -2 binary64) x))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))))
Outputs
(asinh.f64 x)
Calls

3 calls:

3.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
3.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.9%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
99.9%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
99.9%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Accuracy

Total -1.3b remaining (-4.7%)

Threshold costs -1.3b (-4.7%)

Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) #s(approx (log (neg (- x (sqrt (+ (* x x) 1))))) (neg.f64 x)))
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) #s(approx (log (neg (- x (sqrt (+ (* x x) 1))))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)))
Outputs
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) #s(approx (log (neg (- x (sqrt (+ (* x x) 1))))) (neg.f64 x)))
Calls

3 calls:

1.0ms
x
1.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
56.5%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
56.5%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
56.5%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify10.0ms (0.2%)

Memory
10.7MiB live, 10.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01829
13427
27222
317420
420220
520320
Stop Event
1×saturated
Calls
Call 1
Inputs
(asinh.f64 x)
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) #s(approx (log (neg (- x (sqrt (+ (* x x) 1))))) (neg.f64 x)))
Outputs
(asinh.f64 x)
(-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) #s(approx (log (neg (- x (sqrt (+ (* x x) 1))))) (neg.f64 x)))

soundness682.0ms (10.4%)

Memory
-35.5MiB live, 347.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024105
03996
112488
285985
0844484
0174739
1499730
21447721
34809714
08149693
0731
01218
15118
236016
3442116
0816015
0185851
1553831
21662819
35609819
08232796
Stop Event
1×fuel
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×node limit
1×iter limit
Compiler

Compiled 112 to 71 computations (36.6% saved)

preprocess35.0ms (0.5%)

Memory
-2.1MiB live, 43.9MiB allocated
Compiler

Compiled 124 to 78 computations (37.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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