Hyperbolic arcsine

Time bar (total: 7.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze73.0ms (0.9%)

Memory
0.3MiB live, 162.4MiB 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)

sample2.6s (32.8%)

Memory
36.8MiB live, 2 922.1MiB allocated
Samples
1.1s1 530×2valid
944.0ms4 465×1valid
155.0ms2 261×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-log: 1.1s (57.4% of total)
ival-hypot: 489.0ms (26.3% of total)
ival-add: 188.0ms (10.1% of total)
adjust: 99.0ms (5.3% 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

explain210.0ms (2.7%)

Memory
1.1MiB live, 158.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1210-0-(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
740-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
630-0-(+.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)))))sensitivity1210
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue740
↳(*.f64 x x)overflow74
↳(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow74
+.f64(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))cancellation630
Confusion
Predicted +Predicted -
+2210
-035
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+22100
-0035
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
035
1184
237
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
60.0ms294×1valid
46.0ms62×2valid
12.0ms156×0valid
Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-log: 45.0ms (45.7% of total)
ival-hypot: 26.0ms (26.4% of total)
ival-mult: 11.0ms (11.2% of total)
adjust: 8.0ms (8.1% of total)
ival-add: 8.0ms (8.1% of total)
ival-true: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess14.0ms (0.2%)

Memory
11.6MiB live, 11.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
12319
24819
38819
413719
518419
621119
721419
079
0129
1169
0168
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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶18.9%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify3.0ms (0%)

Memory
1.7MiB live, 1.7MiB 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-diff128
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01233
11633
01629
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)

localize83.0ms (1.1%)

Memory
1.3MiB live, 39.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy14.681841362363805
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy17.22641104558292
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy27.696320083487798
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Samples
33.0ms78×0valid
28.0ms147×1valid
14.0ms31×2valid
Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-log: 17.0ms (45% of total)
ival-hypot: 10.0ms (26.5% of total)
adjust: 4.0ms (10.6% of total)
ival-add: 4.0ms (10.6% of total)
ival-mult: 2.0ms (5.3% 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
4.0MiB live, 4.0MiB 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))

simplify152.0ms (1.9%)

Memory
-29.9MiB live, 100.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125448
1353440
2931432
32896402
46992402
08028378
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)) (fma.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 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #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 (fma.f64 (fma.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))
(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 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.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 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) 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 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x 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 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) 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 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.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)))) (/.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 -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))

rewrite167.0ms (2.1%)

Memory
-0.8MiB live, 231.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0731
01231
14431
229731
3315531
0873827
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 363
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 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.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 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 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #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 4 binary64)))) #s(literal 1 binary64)) (fma.f64 x x #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 (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 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #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 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 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 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (+.f64 (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 -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.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 3/4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (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 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 (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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.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)) (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #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)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (*.f64 x x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 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 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 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 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 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 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #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 2 binary64)) (pow.f64 (fma.f64 x x #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 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (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 (fma.f64 x x #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 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) #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 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 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 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 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 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 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 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
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(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(*.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)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 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 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 -1/2 binary64)))
(*.f64 (sqrt.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 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.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 1/2 binary64))
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 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 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x x)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.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 x) #s(literal 2 binary64)))

eval57.0ms (0.7%)

Memory
18.9MiB live, 99.3MiB allocated
Compiler

Compiled 9 057 to 1 679 computations (81.5% saved)

prune14.0ms (0.2%)

Memory
2.0MiB live, 40.9MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New38810398
Fresh000
Picked101
Done000
Total38910399
Accuracy
100.0%
Counts
399 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.5%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
▶18.9%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
29.4%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
▶1.8%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
25.7%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
▶25.0%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶12.5%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
28.4%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶49.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
47.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
Compiler

Compiled 294 to 216 computations (26.5% saved)

simplify121.0ms (1.5%)

Memory
-7.0MiB live, 72.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
cost-diff0
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
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
(neg.f64 x)
cost-diff0
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
cost-diff0
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
cost-diff0
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030161
048161
171161
2123161
3199161
4218161
5239161
6351161
7655161
81007161
91402161
101753161
111955161
122026161
132072161
142095161
152104161
162105161
172105161
182110161
02110161
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
x
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 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
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (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))
x
#s(literal 1 binary64)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)
x
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 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
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (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))
x
#s(literal 1 binary64)

localize182.0ms (2.3%)

Memory
-9.9MiB live, 267.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x x #s(literal 1 binary64))
accuracy14.681841362363805
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
accuracy17.22641104558292
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy27.696320083487798
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
accuracy0
(/.f64 #s(literal -1/2 binary64) x)
accuracy27.696320083487798
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
accuracy46.981874777824835
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
accuracy0
(neg.f64 x)
accuracy14.681841362363805
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
accuracy27.696320083487798
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
accuracy47.03807728295113
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy27.696320083487798
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
accuracy30.299897288331163
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
accuracy0
(*.f64 x x)
accuracy0.03515625
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy0.0625
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy32.554940719142856
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
Samples
104.0ms147×1valid
38.0ms31×2valid
16.0ms78×0valid
Compiler

Compiled 310 to 54 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-log: 44.0ms (32.1% of total)
ival-pow: 23.0ms (16.8% of total)
ival-hypot: 22.0ms (16.1% of total)
adjust: 14.0ms (10.2% of total)
ival-add: 14.0ms (10.2% of total)
const: 10.0ms (7.3% of total)
ival-mult: 7.0ms (5.1% of total)
ival-div: 2.0ms (1.5% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated
Counts
19 → 48
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 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)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (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))
(*.f64 x 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))))
(pow x 3)
-1/6
(- (* 3/40 (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)))))))
(+ 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)
(/ -1/2 x)
(+ 1 (pow x 2))
(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)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 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 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))))
(* (pow x 2) (+ 1 (/ 1 (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 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -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 (* 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
3.0ms
x
@-inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (pow x 3) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ 1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x))
2.0ms
x
@inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (pow x 3) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ 1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x))
1.0ms
x
@0
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (pow x 3) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ 1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x))

simplify127.0ms (1.6%)

Memory
20.4MiB live, 181.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146535
1413521
21085514
33369489
47847489
08286463
Stop Event
1×iter limit
1×node limit
Counts
48 → 47
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))))
(pow x 3)
-1/6
(- (* 3/40 (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)))))))
(+ 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)
(/ -1/2 x)
(+ 1 (pow x 2))
(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)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 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 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))))
(* (pow x 2) (+ 1 (/ 1 (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 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -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 (* 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
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)) (fma.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 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
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))
(+ 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 #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 (fma.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 x)
(neg.f64 x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(+ (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 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.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 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 3/40 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 2))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(-.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(+ (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 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (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 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) 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 (/.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)))) (/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))

rewrite394.0ms (5%)

Memory
9.0MiB live, 242.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030150
048150
1160150
21058150
08256150
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 479
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 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)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (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))
(*.f64 x x)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) #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 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.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))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.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)))
(fabs.f64 (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (log1p.f64 (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))

eval197.0ms (2.5%)

Memory
-41.4MiB live, 121.4MiB allocated
Compiler

Compiled 15 356 to 2 168 computations (85.9% saved)

prune15.0ms (0.2%)

Memory
32.8MiB live, 32.8MiB allocated
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New5165521
Fresh235
Picked235
Done000
Total52011531
Accuracy
100.0%
Counts
531 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶5.5%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
✓18.9%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
▶29.4%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
25.7%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
✓25.0%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓12.5%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
▶28.4%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
49.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
▶49.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
▶49.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
4.4%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
Compiler

Compiled 358 to 240 computations (33% saved)

simplify185.0ms (2.4%)

Memory
-11.1MiB live, 179.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
cost-diff576
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
cost-diff896
(-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))
cost-diff0
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
cost-diff0
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
cost-diff0
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.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
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
cost-diff0
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034245
058238
1102228
2190214
3328213
4412213
5717213
61329213
72764213
84486213
95991213
08123213
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(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 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 x x)
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(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 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))
#s(literal 1 binary64)
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 x x)
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))

localize221.0ms (2.8%)

Memory
18.1MiB live, 176.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy16.761560369904377
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
accuracy17.22641104558292
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy27.696320083487798
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
accuracy31.726452228134086
(-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))
accuracy0.00390625
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
accuracy14.681841362363805
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
accuracy27.696320083487798
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
accuracy44.84987789263068
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy27.696320083487798
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
accuracy44.64730126321876
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
accuracy0.04296875
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
accuracy0.0625
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
accuracy0.20703125
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
accuracy32.554940719142856
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
accuracy0.03515625
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy0.0625
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy0.09765625
(*.f64 (*.f64 x x) x)
accuracy32.554940719142856
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
Samples
139.0ms217×1valid
53.0ms31×2valid
2.0ms8×0valid
Compiler

Compiled 467 to 65 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-log: 51.0ms (30.9% of total)
ival-div: 31.0ms (18.8% of total)
ival-mult: 18.0ms (10.9% of total)
ival-add: 17.0ms (10.3% of total)
adjust: 16.0ms (9.7% of total)
ival-hypot: 13.0ms (7.9% of total)
const: 10.0ms (6.1% of total)
ival-sub: 7.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-25.0MiB live, 12.0MiB allocated
Counts
22 → 64
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 x x)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(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 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 (*.f64 x x) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) 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))))
(pow x 2)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(* -1/6 x)
(* x (- (* 3/40 (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 (* 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)))))
(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) x)
(+ 1 (pow x 2))
(pow x 3)
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 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)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 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))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ (- 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)
(+ (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 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(/ -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)))))
(* -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)))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (+ (* 3/40 (* x x)) -1/6)) x) (* x x) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) 3/40) -1/6) x) (+ (* (* x x) 3/40) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x)) (- (+ (* x x) 1) (* x x)) (log (/ (- (+ (* x x) 1) (* x x)) (- (sqrt (+ (* x x) 1)) x))) (/ (- (+ (* x x) 1) (* x x)) (- (sqrt (+ (* x x) 1)) x)) (+ (* x x) 1) (* (* x x) x) (+ (* (* (+ (* (* x x) 3/40) -1/6) x) (* x x)) x) (sqrt (+ (* x x) 1)) (- (sqrt (+ (* x x) 1)) x))
2.0ms
x
@inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (+ (* 3/40 (* x x)) -1/6)) x) (* x x) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) 3/40) -1/6) x) (+ (* (* x x) 3/40) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x)) (- (+ (* x x) 1) (* x x)) (log (/ (- (+ (* x x) 1) (* x x)) (- (sqrt (+ (* x x) 1)) x))) (/ (- (+ (* x x) 1) (* x x)) (- (sqrt (+ (* x x) 1)) x)) (+ (* x x) 1) (* (* x x) x) (+ (* (* (+ (* (* x x) 3/40) -1/6) x) (* x x)) x) (sqrt (+ (* x x) 1)) (- (sqrt (+ (* x x) 1)) x))
2.0ms
x
@0
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (+ (* 3/40 (* x x)) -1/6)) x) (* x x) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) 3/40) -1/6) x) (+ (* (* x x) 3/40) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x)) (- (+ (* x x) 1) (* x x)) (log (/ (- (+ (* x x) 1) (* x x)) (- (sqrt (+ (* x x) 1)) x))) (/ (- (+ (* x x) 1) (* x x)) (- (sqrt (+ (* x x) 1)) x)) (+ (* x x) 1) (* (* x x) x) (+ (* (* (+ (* (* x x) 3/40) -1/6) x) (* x x)) x) (sqrt (+ (* x x) 1)) (- (sqrt (+ (* x x) 1)) x))

simplify127.0ms (1.6%)

Memory
35.8MiB live, 153.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165701
1453686
21238684
33890645
47426645
08054607
Stop Event
1×iter limit
1×node limit
Counts
64 → 63
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))))
(pow x 2)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(* -1/6 x)
(* x (- (* 3/40 (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 (* 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)))))
(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) x)
(+ 1 (pow x 2))
(pow x 3)
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 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)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 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))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ (- 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)
(+ (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 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(/ -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)))))
(* -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)))))
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)) (fma.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 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow x 2)
(*.f64 x x)
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(*.f64 (fma.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)
(+ 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 #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 (fma.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))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f64 (fma.f64 x x #s(literal 1/2 binary64)) x)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) 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 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.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 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 3/40 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 2))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 3/40 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3/40 binary64))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(-.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(/ (- 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 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #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))) (* 5/128 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #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)
(+ (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 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (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 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) 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 -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal 1/2 binary64) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x)))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 #s(literal 1/2 binary64) x)))

rewrite296.0ms (3.8%)

Memory
-7.3MiB live, 191.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034224
058214
1233196
21600196
08539196
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 662
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 x x)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(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 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 (*.f64 x x) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64))) (fma.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3 binary64)) #s(literal 27/64000 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 x (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (*.f64 x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))))
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(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))

eval118.0ms (1.5%)

Memory
-5.9MiB live, 148.9MiB allocated
Compiler

Compiled 25 190 to 3 068 computations (87.8% saved)

prune42.0ms (0.5%)

Memory
5.7MiB live, 54.7MiB allocated
Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New7317738
Fresh123
Picked145
Done033
Total73316749
Accuracy
100.0%
Counts
749 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓5.5%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
2.6%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) #s(approx (- (sqrt (+ (* x x) 1)) x) (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -1/2 binary64) x)))))
✓18.9%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓29.4%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
▶25.7%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
✓25.0%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓12.5%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
✓28.4%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
✓49.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
49.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
▶49.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
▶48.9%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
47.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
▶47.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
▶49.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
4.4%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
Compiler

Compiled 562 to 376 computations (33.1% saved)

simplify217.0ms (2.8%)

Memory
-14.7MiB live, 58.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
cost-diff0
#s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
cost-diff0
(*.f64 #s(literal -1/6 binary64) x)
cost-diff0
#s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
cost-diff0
(fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
cost-diff0
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
(fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040354
063339
1108331
2186323
3356323
4623323
5715323
6783323
7939323
81192323
92013323
104142323
115256323
125809323
135906323
145916323
156135323
166221323
176221323
186221323
196221323
206227323
06227317
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x)
#s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
#s(literal 3/40 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
#s(literal 1/8 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x)
#s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x)
(fma.f64 #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))
#s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
#s(literal 1/8 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)

localize210.0ms (2.7%)

Memory
-30.7MiB live, 237.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0390625
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
accuracy0.2248772346432732
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
accuracy27.696320083487798
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
accuracy47.25693567791564
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
accuracy0.0625
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy0.09765625
(*.f64 (*.f64 x x) x)
accuracy0.16916225642222812
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy32.554940719142856
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
accuracy0.09765625
(*.f64 (*.f64 x x) x)
accuracy0.12890625
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
accuracy29.759054007077534
#s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))
accuracy32.554940719142856
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
accuracy0.04296875
(fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x)
accuracy0.359375
(*.f64 #s(literal -1/6 binary64) x)
accuracy32.554940719142856
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
accuracy33.77608768924118
#s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
accuracy0.02734375
(fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
accuracy0.0625
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy0.20703125
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy32.554940719142856
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
Samples
99.0ms147×1valid
42.0ms31×2valid
28.0ms78×0valid
Compiler

Compiled 617 to 77 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-mult: 34.0ms (25.3% of total)
ival-log: 30.0ms (22.3% of total)
ival-div: 22.0ms (16.4% of total)
ival-add: 13.0ms (9.7% of total)
adjust: 11.0ms (8.2% of total)
ival-hypot: 11.0ms (8.2% of total)
const: 10.0ms (7.4% of total)
ival-sub: 2.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
23 → 60
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
(fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x)
#s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x)
(*.f64 x x)
#s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1/8 binary64) (*.f64 x 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 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(pow x 2)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(* 3/40 (pow x 2))
(pow x 3)
-6
(- (* -27/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -243/200 (pow x 2)) 27/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2187/4000 (pow x 2)) 243/200)) 27/10)) 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)))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 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))))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(/ 40/3 (pow x 2))
(/ (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 40/3 (+ (* 800/27 (/ 1 (pow x 2))) (/ 16000/243 (pow x 4)))) (pow x 2))
(/ (+ 40/3 (+ (* 800/27 (/ 1 (pow x 2))) (+ (* 320000/2187 (/ 1 (pow x 6))) (/ 16000/243 (pow x 4))))) (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 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -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))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) (* (+ (* 3/40 (* x x)) -1/6) x) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (+ (* (* x x) 3/40) -1/6) x) (* x x)) x) (* (+ (* (* x x) 3/40) -1/6) x) (* -1/6 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (+ (* 3/40 (* x x)) -1/6)) x) (* x x) (+ (* 3/40 (* x x)) -1/6) (/ 1 (/ 1 (+ (* 3/40 (* x x)) -1/6))) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (/ 1 (/ 1 (+ (* 3/40 (* x x)) -1/6)))) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ (- (/ 1/8 (* x x)) 1/2) x) (- (/ 1/8 (* x x)) 1/2) (* 3/40 (* x x)) (* (* x x) x) (/ 1 (+ (* 3/40 (* x x)) -1/6)) (/ 1/8 (* x x)))
3.0ms
x
@-inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) (* (+ (* 3/40 (* x x)) -1/6) x) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (+ (* (* x x) 3/40) -1/6) x) (* x x)) x) (* (+ (* (* x x) 3/40) -1/6) x) (* -1/6 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (+ (* 3/40 (* x x)) -1/6)) x) (* x x) (+ (* 3/40 (* x x)) -1/6) (/ 1 (/ 1 (+ (* 3/40 (* x x)) -1/6))) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (/ 1 (/ 1 (+ (* 3/40 (* x x)) -1/6)))) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ (- (/ 1/8 (* x x)) 1/2) x) (- (/ 1/8 (* x x)) 1/2) (* 3/40 (* x x)) (* (* x x) x) (/ 1 (+ (* 3/40 (* x x)) -1/6)) (/ 1/8 (* x x)))
2.0ms
x
@0
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) (* (+ (* 3/40 (* x x)) -1/6) x) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (+ (* (* x x) 3/40) -1/6) x) (* x x)) x) (* (+ (* (* x x) 3/40) -1/6) x) (* -1/6 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (+ (* 3/40 (* x x)) -1/6)) x) (* x x) (+ (* 3/40 (* x x)) -1/6) (/ 1 (/ 1 (+ (* 3/40 (* x x)) -1/6))) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (/ 1 (/ 1 (+ (* 3/40 (* x x)) -1/6)))) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ (- (/ 1/8 (* x x)) 1/2) x) (- (/ 1/8 (* x x)) 1/2) (* 3/40 (* x x)) (* (* x x) x) (/ 1 (+ (* 3/40 (* x x)) -1/6)) (/ 1/8 (* x x)))

simplify290.0ms (3.7%)

Memory
-3.9MiB live, 155.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0172620
1428606
21093606
33191594
47639594
08080563
Stop Event
1×iter limit
1×node limit
Counts
60 → 59
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 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(pow x 2)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(* 3/40 (pow x 2))
(pow x 3)
-6
(- (* -27/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -243/200 (pow x 2)) 27/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2187/4000 (pow x 2)) 243/200)) 27/10)) 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)))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 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))))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(/ 40/3 (pow x 2))
(/ (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 40/3 (+ (* 800/27 (/ 1 (pow x 2))) (/ 16000/243 (pow x 4)))) (pow x 2))
(/ (+ 40/3 (+ (* 800/27 (/ 1 (pow x 2))) (+ (* 320000/2187 (/ 1 (pow x 6))) (/ 16000/243 (pow x 4))))) (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 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -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))
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 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 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 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/40 binary64) #s(literal 1 binary64)))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x 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))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-6
#s(literal -6 binary64)
(- (* -27/10 (pow x 2)) 6)
(fma.f64 #s(literal -27/10 binary64) (*.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* -243/200 (pow x 2)) 27/10)) 6)
(fma.f64 (fma.f64 #s(literal -243/200 binary64) (*.f64 x x) #s(literal -27/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2187/4000 (pow x 2)) 243/200)) 27/10)) 6)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2187/4000 binary64) (*.f64 x x) #s(literal -243/200 binary64)) (*.f64 x x) #s(literal -27/10 binary64)) (*.f64 x x) #s(literal -6 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 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.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 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 3/40 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/40 binary64))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* 3/40 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3/40 binary64))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* 3/40 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x 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)
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/ 40/3 (pow x 2))
(/.f64 #s(literal 40/3 binary64) (*.f64 x x))
(/ (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 800/27 binary64) (*.f64 x x)) #s(literal 40/3 binary64)) x) x)
(/ (+ 40/3 (+ (* 800/27 (/ 1 (pow x 2))) (/ 16000/243 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 16000/243 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 40/3 binary64)) (/.f64 #s(literal 800/27 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 40/3 (+ (* 800/27 (/ 1 (pow x 2))) (+ (* 320000/2187 (/ 1 (pow x 6))) (/ 16000/243 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 320000/2187 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 40/3 binary64)) (+.f64 (/.f64 #s(literal 16000/243 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 800/27 binary64) (*.f64 x x)))) (*.f64 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 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (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 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) 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 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)

rewrite352.0ms (4.5%)

Memory
1.2MiB live, 231.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040303
063278
1245278
21610278
08157268
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 666
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
(fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x)
#s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x)
(*.f64 x x)
#s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x)))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 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 1/4 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 3/40 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 3/40 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) (pow.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))) (pow.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))) (neg.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
(/.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))) (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(-.f64 (/.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/80 binary64)) (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))))
(*.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) x)
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal -1/8 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64))))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 8 binary64)))
(neg.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64))) #s(literal -1 binary64)))

eval175.0ms (2.2%)

Memory
4.4MiB live, 250.2MiB allocated
Compiler

Compiled 28 537 to 3 541 computations (87.6% saved)

prune31.0ms (0.4%)

Memory
17.9MiB live, 56.2MiB allocated
Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New8172819
Fresh314
Picked325
Done077
Total82312835
Accuracy
100.0%
Counts
835 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓5.5%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
2.6%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) #s(approx (- (sqrt (+ (* x x) 1)) x) (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -1/2 binary64) x)))))
✓18.9%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓29.4%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
✓25.7%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
✓25.0%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓12.5%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
✓28.4%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
✓49.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
48.7%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3/40 (* x x)) -1/6)) (fma.f64 #s(literal -27/10 binary64) (*.f64 x x) #s(literal -6 binary64)))) x))
✓47.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
49.8%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x))
Compiler

Compiled 751 to 290 computations (61.4% saved)

regimes24.0ms (0.3%)

Memory
1.0MiB live, 39.1MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3/40 (* x x)) -1/6)) (fma.f64 #s(literal -27/10 binary64) (*.f64 x x) #s(literal -6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) #s(approx (- (sqrt (+ (* x x) 1)) x) (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
Outputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
Calls

3 calls:

9.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
7.0ms
x
6.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
100.0%3x
85.5%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
85.5%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes26.0ms (0.3%)

Memory
-24.0MiB live, 14.7MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3/40 (* x x)) -1/6)) (fma.f64 #s(literal -27/10 binary64) (*.f64 x x) #s(literal -6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
Calls

1 calls:

25.0ms
x
Results
AccuracySegmentsBranch
99.8%3x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes6.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3/40 (* x x)) -1/6)) (fma.f64 #s(literal -27/10 binary64) (*.f64 x x) #s(literal -6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
Outputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.7%3x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes38.0ms (0.5%)

Memory
-16.9MiB live, 30.7MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3/40 (* x x)) -1/6)) (fma.f64 #s(literal -27/10 binary64) (*.f64 x x) #s(literal -6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
Calls

3 calls:

28.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
5.0ms
x
4.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
75.9%2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
75.9%2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
76.3%2x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes12.0ms (0.2%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3/40 (* x x)) -1/6)) (fma.f64 #s(literal -27/10 binary64) (*.f64 x x) #s(literal -6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
Calls

3 calls:

4.0ms
x
3.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
56.8%2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
56.8%2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
57.2%2x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes14.0ms (0.2%)

Memory
-17.9MiB live, 19.1MiB allocated
Accuracy

Total -1.6b remaining (-5.1%)

Threshold costs -1.6b (-5.1%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3/40 (* x x)) -1/6)) (fma.f64 #s(literal -27/10 binary64) (*.f64 x x) #s(literal -6 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x))
Calls

3 calls:

7.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
4.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
49.8%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
49.8%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
49.8%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch34.0ms (0.4%)

Memory
9.3MiB live, 46.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
6.981054098740917e-7
22469.002043436572
14.0ms
-1812.3488210766607
-0.0018294407676565207
Samples
19.0ms304×0valid
Compiler

Compiled 770 to 587 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-hypot: 5.0ms (45.9% of total)
ival-log: 4.0ms (36.7% of total)
ival-add: 1.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
6.981054098740917e-7
22469.002043436572
7.0ms
-1812.3488210766607
-0.0018294407676565207
Samples
4.0ms64×0valid
Compiler

Compiled 716 to 551 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-log: 1.0ms (42.3% of total)
ival-hypot: 1.0ms (42.3% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch38.0ms (0.5%)

Memory
-25.6MiB live, 13.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
6.981054098740917e-7
22469.002043436572
1.0ms
-1812.3488210766607
-0.0018294407676565207
Samples
31.0ms80×0valid
Compiler

Compiled 696 to 541 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-log: 1.0ms (35.2% of total)
ival-hypot: 1.0ms (35.2% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
6.981054098740917e-7
22469.002043436572
Compiler

Compiled 412 to 309 computations (25% saved)

bsearch6.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
5.0ms
6.981054098740917e-7
22469.002043436572
Samples
3.0ms48×0valid
Compiler

Compiled 412 to 309 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-log: 1.0ms (59% of total)
ival-hypot: 1.0ms (59% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify30.0ms (0.4%)

Memory
-14.1MiB live, 31.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064296
177296
288296
396296
4102296
5104296
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal 889460926405673/562949953421312 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x))
Outputs
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal 889460926405673/562949953421312 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) x) 1) #s(literal 1 binary64)) x))

soundness821.0ms (10.4%)

Memory
25.7MiB live, 539.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0172620
1428606
21093606
33191594
47639594
08080563
030150
048150
1160150
21058150
08256150
034224
058214
1233196
21600196
08539196
0125448
1353440
2931432
32896402
46992402
08028378
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×iter limit
1×node limit
Compiler

Compiled 711 to 359 computations (49.5% saved)

preprocess113.0ms (1.4%)

Memory
-14.3MiB live, 104.5MiB allocated
Compiler

Compiled 658 to 176 computations (73.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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